signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3d627635058abf5b6bb9c53f69a1c86d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target":... | {"states": [63, 511], "expectation_value": -2.0702588516857356, "params": [[-0.0599], [0.062200000000000005]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.003179104768408564, 0.0033136167255936105], "optimization_time": 1.0138466358184814} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1797) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1797) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.4193) q[3];
cx q[4], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-1.5,
0.5,
-1.5,
-3.5,
-3.5,
-2,
-3.5,
-2,
-2,
-3.5,
0.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
1,
1,
1,
1,
1
] |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [442, 218], "expectation_value": -12.430252022015267, "params": [[-0.028800000000000003, -0.0313, -0.0129], [0.038200000000000005, 0.0475, 0.035500000000000004]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0060558589831438804, 0.007033437322857238], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2592) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2592) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.2592) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.2592) q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
9,
15.5,
11,
7.5,
13,
2,
1.5,
9
] |
58fa04385078dcdc0b5f9361c481400a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [207, 205], "expectation_value": -0.6342479415594341, "params": [0.6247, 0.1705, 0.874, 0.3271, 0.3098, 0.3884, 0.3269, 0.4011, 0.8151, 0.4052, 0.6392, 0.12010000000000001, 0.5835, -0.30710000000000004, 0.8366, -0.2591, 0.6077, 0.1626, 0.8371000000000001, 0.35300000000000004, 0.27790000000000004, 0.390300000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6247) q[0];
rz(0.1705) q[0];
rx(0.874) q[1];
rz(0.3271) q[1];
rx(0.3098) q[2];
rz(0.3884) q[2];
rx(0.3269) q[3];
rz(0.4011) q[3];
rx(0.8151) q[4];
rz(0.4052) q[4];
rx(0.6392) q[5];
rz(0.1201) q[5];
rx(0.5835) q[6];
rz(-0.3071) q[6];
rx(0.8366) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.6990192403016737, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.06860000000000001, -0.0511, -0.0492]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.013967852646237365, 0.014448856389640254], "optimization_time": 3.7291078... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0361) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0361) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0722) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.0722) q[2];
cx q[4], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
0.25,
0.25,
0.25,
1.25
] |
44db6493095286b918fb0c5bac33de1d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [12, 44], "expectation_value": -2.3315010912557774, "params": [[[0.5488000000000001, 0.12810000000000002], [0.5585, 0.1311], [0.8047000000000001, 0.0023], [0.0028, 0.5967], [0.8036000000000001, 0.0014], [0.8037000000000001, -0.0012000000000000001], [0.0023, 0.5991000000000001], [0.0029000000000000002, 0.5796... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + -0.125 * (Z(4) @ Z(3) @ Z(6)) + -0.125 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010111", "01011011", "11010011"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5488) q[0];
rz(0.1281) q[0];
rx(0.5585) q[1];
rz(0.1311) q[1];
rx(0.8047) q[2];
rz(0.0023) q[2];
rx(0.0028) q[3];
rz(0.5967) q[3];
rx(0.8036) q[4];
rz(0.0014) q[4];
rx(0.8037) q[5];
rz(-0.0012) q[5];
rx(0.0023) q[6];
rz(0.5991) q[6];
rx(0.0029) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZZIII",
"IZIZZIII",
"IZZIZIII",
"IZZZIIII",
"IZZZZIII",
"IIIZIIIZ",
"IIZIIIZI",
"ZIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.25,
-0.625,
-0.125,
-0.125,
-0.625,
-1
] |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 8.287782907485962} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[1];
cry(0.2489) q[2], q[4];
cry(-0.1488) q[2], q[1];
cry(0.118)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.11018709011519463, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13434759204846883, 0.14508861480303417], "optimization... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0402) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0201) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0603) q[2];
cx q[0], q[2];
rz(0.0201) q[1];
rz(0.0201) q[0];
rz(-0.0402) q[2];
h q[0];
rz(0.1104) q[0];
h q[0];
h q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] |
12210bdb8f7c5877d15ce0dea7afc09c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target":... | {"states": [797, 541], "expectation_value": -2.964683808546474, "params": [[[1.6013000000000002, 0.0021000000000000003], [1.5623, 0.0019], [0.14450000000000002, 0.0099], [0.5475, 0.0027], [0.1437, 0.009300000000000001], [1.603, 0.0035], [1.5891000000000002, 0.0007], [1.5999, 0.0019], [0.14880000000000002, 0.00520000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101010", "0111100010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6013) q[0];
rz(0.0021) q[0];
rx(1.5623) q[1];
rz(0.0019) q[1];
rx(0.1445) q[2];
rz(0.0099) q[2];
rx(0.5475) q[3];
rz(0.0027) q[3];
rx(0.1437) q[4];
rz(0.0093) q[4];
rx(1.603) q[5];
rz(0.0035) q[5];
rx(1.5891) q[6];
rz(0.0007) q[6];
rx(1.5999) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
0,
-1,
-0.5,
-0.5,
-0.5
] |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -12.373769903873796, "params": [[0.0129, 0.022500000000000003, 0.0079, 0.0125], [-0.028200000000000003, -0.0519, -0.052700000000000004, -0.0439]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008112079983223441, 0.008966988056707065... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 9 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0709) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0709) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0709) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0709) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] |
4c5a23f8c8a34bc9c0e926b6ce68cf56 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [124, 127], "expectation_value": -1.9824099301492069, "params": [[-0.0785], [0.0786]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.014303046136399709, 0.014303046136399709], "optimization_time": 0.5492565631866455} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.3925) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.314) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2355) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] |
56bf2b9b5079d42e66a4e14293694014 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1745, 1681], "expectation_value": -65.23018612784095, "params": [0.6618, 0.17600000000000002, 0.9978, 0.0143, 0.9938, 0.0342, 0.7914, 0.2195, 0.9985, 0.0427, 0.7911, 0.22010000000000002, -0.0024000000000000002, 0.6598, 1.0079, 0.0115, -0.0059, 0.518, 0.005, 0.13720000000000002, 0.7903, 0.26130000000000003, ... | 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 3.0 * Z(3) + 17.5 * Z(1) + 17.0 * Z(2) + 15.0 * Z(4)... | 16 | 12 | 2 | {"smallest_eigenvalues": [-157.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["100101101110"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6618) q[0];
rz(0.176) q[0];
rx(0.9978) q[1];
rz(0.0143) q[1];
rx(0.9938) q[2];
rz(0.0342) q[2];
rx(0.7914) q[3];
rz(0.2195) q[3];
rx(0.9985) q[4];
rz(0.0427) q[4];
rx(0.7911) q[5];
rz(0.2201) q[5];
rx(-0.0024) q[6];
rz(0.6598) q[6];
rx(1.0079) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZI",
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIZIIZIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIZIIIIIIZI",
"IZIIIIIIIZII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
3,
17.5,
17,
15,
1,
3.5,
17.5,
-7.5,
-5.5,
3,
9.5,
-14.5
] |
a20be77afa1a8b9b75f27972fb6e9517 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.656036797726205, "params": [-0.0088, 0.9593, 0.7847000000000001, 0.0068000000000000005, 0.0037, 0.8875000000000001, 0.0024000000000000002, 0.9078, 0.7891, 0.1826, -0.0008, 0.6888000000000001, 0.5307000000000001, 0.47140000000000004, 0.7928000000000001, 0.0074, 0.00480000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0088) q[0];
rz(0.9593) q[0];
rx(0.7847) q[1];
rz(0.0068) q[1];
rx(0.0037) q[2];
rz(0.8875) q[2];
rx(0.0024) q[3];
rz(0.9078) q[3];
rx(0.7891) q[4];
rz(0.1826) q[4];
rx(-0.0008) q[5];
rz(0.6888) q[5];
rx(0.5307) q[6];
rz(0.4714) q[6];
rx(0.7928) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.5,
3.5,
-1,
-0.5,
-1.75,
-1.25,
-3.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.75,
-1.5,
1.25,
1.5,
-0.5,
1.25
] |
712b030d217f3cf9b2b341027ce3b496 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source... | {"states": [219, 218], "expectation_value": -71.03949686819102, "params": [0.06380000000000001, -0.201, 0.07400000000000001, -0.2102, 0.44370000000000004, -0.0068000000000000005, 0.4751, -0.0068000000000000005, 0.4242, -0.014100000000000001, 0.4635, -0.0102, -0.0019, 0.2015, -0.0071, 0.2051, 0.45330000000000004, -0.029... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.... | 5 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0638) q[0];
rz(-0.201) q[0];
rx(0.4437) q[1];
rz(-0.0068) q[1];
rx(0.4242) q[2];
rz(-0.0141) q[2];
rx(-0.0019) q[3];
rz(0.2015) q[3];
rx(0.4533) q[4];
rz(-0.0293) q[4];
rx(0.4505) q[5];
rz(-0.037) q[5];
rx(0.0278) q[6];
rz(0.222) q[6];
rx(0.4375) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
4,
12,
7,
1.5,
13,
0.5,
10.5,
15
] |
-3157302381660211115 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]} | {"states": [481, 482], "expectation_value": -0.0243691610085646, "params": [[0.0267], [-0.030600000000000002]], "bitstrings": ["000011110", "000011101"], "total_optimization_steps": 10, "probabilities": [0.0019979953159408185, 0.0019979953159408185], "optimization_time": 0.698986291885376} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(0.0267) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(0.0267) q[3];
cx q[1], q[3];
cx q[1], q[6];
rz(0.0267) q[6];
cx q[1], q[6];
cx q[3], q[6];
rz(0.0267) q[6];
cx q[3], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
-6170143923129228437 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4], [1, 5], [3, 5, 6], [0, 3], [1, 2, 3], [0, 5], [4, 7], [2, 3, 5]]} | {"states": [53, 60], "expectation_value": -2.749487076024844, "params": null, "bitstrings": ["11001010", "11000011"], "total_optimization_steps": 53, "probabilities": [0.05608097171249614, 0.8054378771726384], "optimization_time": 79.60331678390503} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["11000011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[2];
cry(-1.0324) q[5], q[0];
ry(0.9726) q[5];
cry(-1.3748) q[5], q[1];
cry(-0.8041) q[3], q[0];
ry(1.1701) q[3];
ry(-0.4058) q[0];
cry(0.3486) q[2], q[5];
cry(-1.0342) q[4], q[7];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZZIIIII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666674,
0.16666666666666663,
0.16666... |
2783967b1611213b3e7795654a08824b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [97, 112], "expectation_value": -3.9963269419040746, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 29, "probabilities": [0.06635596786049659, 0.9302847332721631], "optimization_time": 31.777088165283203} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "0111010", "0001111", "1110100", "1100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4384) q[0];
ry(1.4384) q[1];
cry(-1.0342) q[2], q[6];
ry(0.7003) q[2];
cry(-0.1259) q[1], q[3];
cry(-0.1259) q[1], q[5];
ry(-0.4549) q[6];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"IIIZIZI",
"IZIIIZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1.5,
-0.5,
0
] |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 60], "expectation_value": -3.1321770286570354, "params": null, "bitstrings": ["1001101", "1000011"], "total_optimization_steps": 36, "probabilities": [0.06225990274216573, 0.8457025003025933], "optimization_time": 43.28484129905701} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5158) q[0];
ry(-1.4449) q[6];
ry(1.4415) q[2];
cry(-1.3016) q[3], q[5];
ry(1.2939) q[1];
ry(0.7826) q[3];
ry(-0.6334) q[5];
cry(1.32) q[3], q[4];
cry(0.4658) q[2], q[3];
cry(-0.1259) q[2], q[6];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"IZZIIZI",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.625,
0.125,
-0.125,
-0.125,
-0.25,
-0.25,
-0.5
] |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -0.9943841305168674, "params": [[-0.0716, -0.0852], [0.0711, 0.0781]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00807690791938644, 0.008983622340901491], "optimization_time": 3.047116279602051} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0716) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1074) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0716) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0716) q[5];
cx q[1], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] |
1009275363050825591 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 6, 8, 9, 10, 11], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [2, 4, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 10], [1, 2, 7, 8, 10, 11], [1, 2, 5, 6, 7, 8, 9], [2, 3, 8, 9, 10], [2, 4, 5, 7, 8, 10, 11], [1, 2, 3, 8, 9, 11], [0, 2, 3, 6, 11], [0, 1, 2,... | {"states": [925, 989], "expectation_value": -2.3426889827424873, "params": [0.2549, 0.0044, 1.5027000000000001, 0.008400000000000001, 3.1389, 0.0016, 3.1445000000000003, 0.0024000000000000002, 3.1439000000000004, 0.004, 1.5915000000000001, 0.001, 0.529, 0.0095, 2.2841, 0.0074, 3.1444, 0.004200000000000001, 3.1441000000... | 0.16825396825396827 * (Z(1) @ Z(4)) + 0.08492063492063492 * (Z(6) @ Z(4)) + 0.03686868686868687 * (Z(6) @ Z(1)) + 0.15873015873015872 * (Z(7) @ Z(4)) + 0.06067821067821068 * (Z(7) @ Z(1)) + 0.06067821067821068 * (Z(7) @ Z(6)) + 0.10158730158730159 * (Z(8) @ Z(4)) + 0.06067821067821068 * (Z(8) @ Z(1)) + 0.03686868686868... | 3 | 12 | 1 | {"smallest_eigenvalues": [-2.5097402597402603, -2.5097402597402603], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.476406926406926, "smallest_bitstrings": ["010010100000", "110000100010"], "largest_eigenvalue": 12.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2549) q[0];
rz(0.0044) q[0];
rx(1.5027) q[1];
rz(0.0084) q[1];
rx(3.1389) q[2];
rz(0.0016) q[2];
rx(3.1445) q[3];
rz(0.0024) q[3];
rx(3.1439) q[4];
rz(0.004) q[4];
rx(1.5915) q[5];
rz(0.001) q[5];
rx(0.529) q[6];
rz(0.0095) q[6];
rx(2.2841) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIZI",
"IZIIIZIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIII... | [
0.16825396825396827,
0.08492063492063492,
0.03686868686868687,
0.15873015873015872,
0.06067821067821068,
0.06067821067821068,
0.10158730158730159,
0.06067821067821068,
0.03686868686868687,
0.06067821067821068,
0.2115079365079365,
0.11345598845598845,
0.08012265512265512,
0.0705988455988455... |
e69550c833474bf45ede93c29793364e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [187, 179], "expectation_value": -1.8545002982275105, "params": [-0.0001, 0.3165, 0.5056, 0.0045000000000000005, 0.2228, 0.29610000000000003, 0.49770000000000003, 0.045200000000000004, 0.5037, 0.10690000000000001, 0.29700000000000004, 0.1091, -0.0051, 0.34940000000000004, 0.498, 0.0051, 0.4988, 0.0256, -0.00... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(3) @ Z(6)) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001100"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0001) q[0];
rz(0.3165) q[0];
rx(0.5056) q[1];
rz(0.0045) q[1];
rx(0.2228) q[2];
rz(0.2961) q[2];
rx(0.4977) q[3];
rz(0.0452) q[3];
rx(0.5037) q[4];
rz(0.1069) q[4];
rx(0.297) q[5];
rz(0.1091) q[5];
rx(-0.0051) q[6];
rz(0.3494) q[6];
rx(0.498) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIZIZZ",
"IIZIIIIZZ",
"IZIIIIIZZ",
"IIZIIZIIZ",
"IZIIIZIIZ",
"IZZIIIIIZ",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,... |
690ab9a303c84e82b8d6c798626278a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.41569264949275, "params": [0.7536, 0.0975, -0.0414, 0.12990000000000002, 0.7651, -0.060000000000000005, 0.4813, -0.0286, -0.003, 0.8566, 0.001, 1.1193, 0.7005, 1.022, 0.5232, 1.6599000000000002, 0.006200000000000001, 1.8054000000000001, -0.0027, 0.7349, -0.00310000000000000... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 2 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 42.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7536) q[0];
rz(0.0975) q[0];
rx(0.7651) q[1];
rz(-0.06) q[1];
rx(-0.003) q[2];
rz(0.8566) q[2];
rx(0.7005) q[3];
rz(1.022) q[3];
rx(0.0062) q[4];
rz(1.8054) q[4];
rx(-0.0031) q[5];
rz(1.2944) q[5];
rx(0.003) q[6];
rz(1.0474) q[6];
rx(-0.0017) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIZIIIII",
"IIZIIZIIII"... | [
-1.5,
-1.5,
0.5,
-3.5,
-4,
-3.5,
1,
-3.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
-3,
1,
1.5,
1,
-4,
1,
1,
-4,
-3,
1.5,
-3,
0.5,
0.5,
0.5,
1.5,
-2.5,
-3,
2,
-2.5,
1,
1
] |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [113, 53], "expectation_value": -3.79062548108071, "params": null, "bitstrings": ["0001110", "1001010"], "total_optimization_steps": 46, "probabilities": [0.04769126139284315, 0.8614509210248673], "optimization_time": 35.353190660476685} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
ry(-1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0398) q[4], q[0];
cry(-1.0398) q[6], q[3];
ry(0.7022) q[6];
ry(0.7022) q[4];
ry(-0.4578) q[0];
cry(0.497) q[1], q[4];
ry(-0.4578) q[3];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
0,
-0.5,
0
] |
-2692663721775254224 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]} | {"states": [97, 99], "expectation_value": -2.3005466726825876, "params": null, "bitstrings": ["110011110", "110011100"], "total_optimization_steps": 76, "probabilities": [0.14512773478928898, 0.6158416290090808], "optimization_time": 145.47570705413818} | 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.583333333333333, -2.583333333333333, -2.583333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["000100001", "000000111", "110011100"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.1408) q[2];
cry(-1.0342) q[8], q[5];
ry(0.7297) q[8];
cry(-1.3311) q[8], q[1];
cry(-1.2704) q[8], q[4];
cry(0.3018) q[2], q[8];
ry(-0.6181) q[5];
cry(-1.0342) q[3], q[6];
ry(0.8948) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIZIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666666,
0.29166666666666663,
0.125,
... |
e9af1a9f112f5a53fb57fbd0d9beb1bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -8.023090846737073, "params": [[[-0.0025, 3.1588000000000003], [0.0028, -0.0026000000000000003], [0.0026000000000000003, 0.0027], [0.0024000000000000002, -0.0149], [-1.6182, 0.0026000000000000003], [-0.0027, 0.0022]]], "bitstrings": ["000000", "000001"], "total_optimization_ste... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0025) q[0];
ry(0.0028) q[1];
ry(0.0026) q[2];
ry(0.0024) q[3];
ry(-1.6182) q[4];
ry(-0.0027) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(3.1588) q[0];
ry(-0.0026) q[1];
ry(0.0027) q[2];
ry(-0.0149) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] |
563fe0ee35342a7adbb26905c51bef72 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [430, 426], "expectation_value": -92.89957127026618, "params": [0.45380000000000004, 0.0037, 2.9015, 0.007500000000000001, 2.8954, 0.0092, 0.46280000000000004, 0.0005, 2.8953, 0.0045000000000000005, 1.0493000000000001, 0.0035, 2.9018, 0.0068000000000000005, 1.4863000000000002, 0.0071, 2.8973, 0.0034000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(8)) + 1.0 * Z(0) +... | 18 | 10 | 1 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 186.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4538) q[0];
rz(0.0037) q[0];
rx(2.9015) q[1];
rz(0.0075) q[1];
rx(2.8954) q[2];
rz(0.0092) q[2];
rx(0.4628) q[3];
rz(0.0005) q[3];
rx(2.8953) q[4];
rz(0.0045) q[4];
rx(1.0493) q[5];
rz(0.0035) q[5];
rx(2.9018) q[6];
rz(0.0068) q[6];
rx(1.4863) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
25,
15,
1,
21.5,
20,
4.5,
10.5,
5.5,
-2
] |
8477355649959193433 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 5, 1], [0, 5], [0, 1, 6, 9], [8, 4, 5], [3, 5, 7], [0, 1, 2, 3, 4, 9], [8, 9, 4, 1], [0, 6, 7], [8, 9, 2, 4], [0, 9, 4, 8], [9, 2, 5], [3, 6], [1, 3, 7], [8, 9, 2, 3], [9, 5, 6, 7], [8, 2, 5, 6]]} | {"states": [415, 287], "expectation_value": -3.860356265920327, "params": [0.2717, 0.7421, 0.2733, 0.0033, 1.6796, 0.4005, 1.4679, 0.002, 1.2674, -0.3398, 0.7832, 0.0078000000000000005, 0.2985, 0.7515000000000001, 0.2884, 0.009300000000000001, 0.6744, -0.6482, 0.6668000000000001, 0.0011, 1.6686, 0.3534, 1.4556, 0.0076,... | 0.36666666666666664 * (Z(9) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(9)) + 0.2 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(0) @ Z(4)) + 0.2 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.11666666666666667 * (Z(0) @ Z(1)) + 0.166... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.933333333333333, "smallest_bitstrings": ["1011100000"], "largest_eigenvalue": 14.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2717) q[0];
rz(0.7421) q[0];
rx(1.6796) q[1];
rz(0.4005) q[1];
rx(1.2674) q[2];
rz(-0.3398) q[2];
rx(0.2985) q[3];
rz(0.7515) q[3];
rx(0.6744) q[4];
rz(-0.6482) q[4];
rx(1.6686) q[5];
rz(0.3534) q[5];
rx(1.5105) q[6];
rz(0.3136) q[6];
rx(1.6915) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZIIIZI",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIIZZ",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZIIZIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIZIIIIII"... | [
0.36666666666666664,
0.25,
0.3333333333333333,
0.2,
0.2833333333333333,
0.08333333333333333,
0.11666666666666667,
0.2,
0.5,
0.11666666666666667,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.41666666666666663,
0.3333333333333333,
0.25,
0.08333333333333333,
... |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 8.827763080596924} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
cry(-1.5681) q[4], q[0];
ry(1.111) q[4];
ry(-0.4823) q[0];
ry(-1.5486) q[2];
ry(-1.5628) q[1];
cry(-0.2079) q[0], q[4];
cry(-0.0222) q[4], q[2];
cry(-0.0079) q[4], q[1];
cry(-0.0161) q[0], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -0.3603378603142312, "params": [[-0.0626, -0.046700000000000005, -0.026500000000000003], [0.0757, 0.0697, 0.0548]], "bitstrings": ["011000", "101000"], "total_optimization_steps": 10, "probabilities": [0.021879456620974364, 0.022552922979383064], "optimization_time": 2.77986717... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0626) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0626) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0626) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.0626) q[5];
cx q[2], q[5];
cx q[2], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] |
8ca1cc128f26bbc587d2dbeb0c149cd8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [7, 22], "expectation_value": -4.496397975823587, "params": null, "bitstrings": ["1111000", "1101001"], "total_optimization_steps": 27, "probabilities": [0.06635229672491205, 0.9303266266439268], "optimization_time": 22.416858911514282} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1101001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(1.4417) q[5];
ry(1.4417) q[4];
cry(-1.0343) q[2], q[6];
ry(0.7003) q[2];
cry(-0.1259) q[5], q[3];
ry(-0.4549) q[6];
cry(0.4962) q[5], q[2];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
-0.5,
-1,
0
] |
a4b3b2771ff4e4ca105df7c0df433cd0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [64, 90], "expectation_value": -6.132306295163199, "params": [[[-0.0751, -0.28500000000000003, 0.0004, 0.0067], [-0.6867000000000001, 0.1041, 0.7001000000000001, 0.007200000000000001], [0.0, 0.030100000000000002, 0.0009000000000000001, -0.2731], [0.0035, 0.0867, -0.013300000000000001, 0.0639], [-0.0036000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["10100101"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0751) q[0];
rz(-0.285) q[0];
ry(-0.6867) q[1];
rz(0.1041) q[1];
ry(0) q[2];
rz(0.0301) q[2];
ry(0.0035) q[3];
rz(0.0867) q[3];
ry(-0.0036) q[4];
rz(0.5291) q[4];
ry(-0.002) q[5];
rz(-0.2111) q[5];
ry(-0.0023) q[6];
rz(0.5395) q[6];
ry(-0.0024) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5
] |
90cd45aecbe758daa031a854118281c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [58, 122], "expectation_value": -1.3928239964208848, "params": [0.0007, 0.315, 0.313, 0.166, 0.4046, 0.11080000000000001, 0.40390000000000004, 0.0077, 0.4087, -0.003, 0.4077, 0.0081, 0.0009000000000000001, 0.2852, 0.3932, 0.1812, 0.3952, 0.1198, 0.0036000000000000003, 0.29910000000000003, 0.31070000000000003... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9375, "smallest_bitstrings": ["110000110", "110000101"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0007) q[0];
rz(0.315) q[0];
rx(0.313) q[1];
rz(0.166) q[1];
rx(0.4046) q[2];
rz(0.1108) q[2];
rx(0.4039) q[3];
rz(0.0077) q[3];
rx(0.4087) q[4];
rz(-0.003) q[4];
rx(0.4077) q[5];
rz(0.0081) q[5];
rx(0.0009) q[6];
rz(0.2852) q[6];
rx(0.3932) q[7];
rz(0.181... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZZIZI",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"IZZIIZIII",
"IZZZIIIII",
"IZZZIZIII",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... |
1a8155b224db54664a68f055f033253f | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [55230, 47070], "expectation_value": -8.607065046012032, "params": [[-0.17880000000000001], [0.1715]], "bitstrings": ["0010100001000001", "0100100000100001"], "total_optimization_steps": 20, "probabilities": [0.0001368416516879302, 0.00013684165753380978], "optimization_time": 16.067975282669067} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-18.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999981, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": NaN} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[0], q[2];
rz(-0.1788) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.1788) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.1788) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... |
-308162691934680590 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [3, 6, 7], [3, 4, 7], [0, 3, 5], [0, 2], [0, 4, 5], [1, 2]]} | {"states": [199, 61], "expectation_value": -1.217077423423206, "params": [[-0.46730000000000005], [0.4187]], "bitstrings": ["00111000", "11000010"], "total_optimization_steps": 50, "probabilities": [0.019940923786775804, 0.020213442125386585], "optimization_time": 1.6853220462799072} | 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[4];
rz(-0.4673) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(-0.1558) q[3];
cx q[6], q[3];
cx q[4], q[3];
rz(-0.1558) q[3];
cx q[4], q[3];
cx q[6], q[7];
rz(-0.1558) q[7];
cx q[6], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(x1) q[3];
cx q[6], q[3];
cx q[4], q... | null | {"circuits": [], "gradients": []} | [
"IZIZIIII",
"IZIIZIII",
"IIIZZIII",
"ZZIIIIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIIIIZIZ",
"IIIIIZZI",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666663,
0.33333333333333326,
0.4999999999999999,
... |
0effcbb2abad3a5cea04794e851efa69 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [146, 154], "expectation_value": -6.643229909348072, "params": [[[1.4877, 0.0077], [0.0018000000000000002, 0.0011], [1.7080000000000002, 0.002], [0.0025, 0.0074], [0.0034000000000000002, 0.0025], [1.6999000000000002, 0.0037], [1.6355000000000002, 0.0007], [-0.003, 0.0027], [1.7096, 0.0097], [0.44420000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011110100", "1011100101", "0101101101", "1101100101"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4877) q[0];
rz(0.0077) q[0];
rx(0.0018) q[1];
rz(0.0011) q[1];
rx(1.708) q[2];
rz(0.002) q[2];
rx(0.0025) q[3];
rz(0.0074) q[3];
rx(0.0034) q[4];
rz(0.0025) q[4];
rx(1.6999) q[5];
rz(0.0037) q[5];
rx(1.6355) q[6];
rz(0.0007) q[6];
rx(-0.003) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZIZIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"ZIIIIIIZII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"ZIIIZIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2.5,
-1.5,
-1,
-2,
-1,
-1,
-0.5
] |
ab957251534d09507f870c3a6ef42154 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2711, 2709], "expectation_value": -0.17782023458083673, "params": [0.49100000000000005, 0.4899, 0.3239, 0.2988, 0.49260000000000004, 0.49710000000000004, 0.2936, 0.2934, 0.4917, 0.4919, 0.2969, 0.2932, 0.3002, 0.29510000000000003, 0.4884, 0.48910000000000003, 0.36660000000000004, 0.36160000000000003, 0.4474... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["100101011010", "101010010101", "010101101010", "011010100101"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.491) q[0];
ry(0.3239) q[1];
ry(0.4926) q[2];
ry(0.2936) q[3];
ry(0.4917) q[4];
ry(0.2969) q[5];
ry(0.3002) q[6];
ry(0.4884) q[7];
ry(0.3666) q[8];
ry(0.4474) q[9];
ry(0.3945) q[10];
ry(0.4398) q[11];
crz(0.2213) q[11], q[0];
crz(-0.189) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.25,
-0.0010416666666666667,
-0.0015625,
-0.0010416666666666667,
-0.0015625,
0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... |
3415806688122177614 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5, 6], [0, 9, 3], [8, 9, 5], [9, 1], [8, 2], [9, 10, 5], [2, 4, 5], [0, 4], [6, 7], [0, 7], [10, 6], [1, 7], [10, 7], [9, 2], [0, 1, 2], [1, 4, 6], [8, 4, 7], [8, 4, 5], [9, 3, 4], [10, 3, 5], [1, 10], [8, 3, 5]]} | {"states": [1016, 1000], "expectation_value": -5.360727275561041, "params": [-0.0025, 0.9661000000000001, 2.1251, 0.0025, 2.0189, 0.0028, 2.7025, -0.0022, 3.0008000000000004, 0.0034000000000000002, 3.0867, -0.0021000000000000003, 3.0923000000000003, 0.8084, 3.0820000000000003, 1.1386, -0.0019, -0.8873000000000001, -0.0... | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.1666666666... | 4 | 11 | 1 | {"smallest_eigenvalues": [-5.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.333333333333334, "smallest_bitstrings": ["10000010111"], "largest_eigenvalue": 17.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0025) q[0];
rz(0.9661) q[0];
rx(2.1251) q[1];
rz(0.0025) q[1];
rx(2.0189) q[2];
rz(0.0028) q[2];
rx(2.7025) q[3];
rz(-0.0022) q[3];
rx(3.0008) q[4];
rz(0.0034) q[4];
rx(3.0867) q[5];
rz(-0.0021) q[5];
rx(3.0923) q[6];
rz(0.8084) q[6];
rx(3.082) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIIIIIZIIZ",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZIIIIIIIIZ",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IZZIIIIIIII",
"IIIIZIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIZIIIIIZII",
"IIIIIIIIZZI",
"ZIIIIZIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666... |
1e92ea5f7cae37ca987f17ac92d103da | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [15, 127], "expectation_value": -2.7407410119052424, "params": [[-0.0766], [0.0702]], "bitstrings": ["11111110000", "11110000000"], "total_optimization_steps": 10, "probabilities": [0.001255672313871284, 0.0013225465458685378], "optimization_time": 3.4254939556121826} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7))... | 1 | 11 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.0, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.383) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.383) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.383) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.383) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZI... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
cacbe081b77503da3f10c68300c494cc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [28, 220], "expectation_value": -5.064056116190093, "params": [1.4027, 0.0036000000000000003, 1.4147, 0.0035, 1.3998000000000002, 0.0009000000000000001, 1.4034, -0.0009000000000000001, 1.4088, -0.0035, 1.4152, -0.0051, -0.0007, -0.0066, -0.006, 0.004, 1.3971, 1.3857000000000002, -1.3895, 1.389, 1.3931, -1.34... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(6) + -0.5 * Z(0) + -2.0 * Z(7) + 0.0 * Z(1) + -... | 4 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00100011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4027) q[0];
rz(0.0036) q[0];
rx(1.4147) q[1];
rz(0.0035) q[1];
rx(1.3998) q[2];
rz(0.0009) q[2];
rx(1.4034) q[3];
rz(-0.0009) q[3];
rx(1.4088) q[4];
rz(-0.0035) q[4];
rx(1.4152) q[5];
rz(-0.0051) q[5];
rx(-0.0007) q[6];
rz(-0.0066) q[6];
rx(-0.006) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
0,
-1.5,
-0.5,
-0.5,
-1
] |
6998245398537875737 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]} | {"states": [219, 175], "expectation_value": -0.789922625824052, "params": [[-0.4096], [0.40800000000000003]], "bitstrings": ["00100100", "01010000"], "total_optimization_steps": 50, "probabilities": [0.0098365750362365, 0.010156835329450093], "optimization_time": 2.4257678985595703} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4833333333333332, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(-0.1775) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(-0.1365) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(-0.1638) q[7];
cx q[2], q[7];
cx q[3], q[0];
rz(-0.0683) q[0];
cx q[3], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIIZZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIZII",
"ZZIIIII... | [
0.21666666666666667,
0.16666666666666666,
0.19999999999999998,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.08333333333333334,
0.03333333333333333,
0.11666666666666667,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.083333333333333... |
-5195831292867703356 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4], [1, 5], [2, 3, 5], [5, 6], [0, 3]]} | {"states": [70, 57], "expectation_value": -0.01596034018113473, "params": [[-0.038200000000000005], [0.038200000000000005]], "bitstrings": ["0111001", "1000110"], "total_optimization_steps": 10, "probabilities": [0.008048751349393441, 0.008064392385747054], "optimization_time": 1.4532430171966553} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(-0.0382) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(-0.0382) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(-0.0127) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0.0127) q[5];
cx q[3], q[5];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIZIZII",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IZIIIZI",
"ZZIIIII",
"IIIZIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666674,
0,
0,
0
] |
90cd45aecbe758daa031a854118281c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [114, 122], "expectation_value": -1.4097269820096372, "params": [0.0022, -0.5321, 0.5717, 0.4801, 0.8025, 0.27890000000000004, 0.8031, 0.010100000000000001, 0.8068000000000001, 0.0026000000000000003, 0.8036000000000001, 0.0049, 0.0022, 0.6001000000000001, 0.8011, 0.4612, 0.7977000000000001, 0.3111, 0.0022, 0... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9375, "smallest_bitstrings": ["110000110", "110000101"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0022) q[0];
rz(-0.5321) q[0];
rx(0.5717) q[1];
rz(0.4801) q[1];
rx(0.8025) q[2];
rz(0.2789) q[2];
rx(0.8031) q[3];
rz(0.0101) q[3];
rx(0.8068) q[4];
rz(0.0026) q[4];
rx(0.8036) q[5];
rz(0.0049) q[5];
rx(0.0022) q[6];
rz(0.6001) q[6];
rx(0.8011) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZZIZI",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"IZZIIZIII",
"IZZZIIIII",
"IZZZIZIII",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... |
c481e42d7da0b37a314b8b7c8726899d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [95, 91], "expectation_value": -58.73721512469042, "params": [-0.0019, 0.9827, 1.4979, 0.2546, 0.5998, 0.5477000000000001, 1.4986000000000002, 0.0424, 1.4939, -0.16920000000000002, 0.7445, -0.35150000000000003, 1.488, -0.12810000000000002, 1.488, 0.0114, -0.0019, 0.009000000000000001, 1.4973, 0.0046, 0.60330... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + -3.5 * Z(0) + 7.0 * Z(2) + 9.5 * Z(3) + 21... | 18 | 8 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0019) q[0];
rz(0.9827) q[0];
rx(1.4979) q[1];
rz(0.2546) q[1];
rx(0.5998) q[2];
rz(0.5477) q[2];
rx(1.4986) q[3];
rz(0.0424) q[3];
rx(1.4939) q[4];
rz(-0.1692) q[4];
rx(0.7445) q[5];
rz(-0.3515) q[5];
rx(1.488) q[6];
rz(-0.1281) q[6];
rx(1.488) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11.5,
-3.5,
7,
9.5,
21.5,
9,
17,
11.5
] |
-7216443839465865534 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 3], [1, 4]]} | {"states": [30, 14], "expectation_value": -0.801152681741158, "params": [[[1.5577, 0.0046], [2.6701, 0.0012000000000000001], [2.9005, 0.0014], [2.9025000000000003, 0.005200000000000001], [0.6851, 0.0026000000000000003]]], "bitstrings": ["00001", "10001"], "total_optimization_steps": 290, "probabilities": [0.40211095498... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666665, -1.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.5577) q[0];
rz(0.0046) q[0];
rx(2.6701) q[1];
rz(0.0012) q[1];
rx(2.9005) q[2];
rz(0.0014) q[2];
rx(2.9025) q[3];
rz(0.0052) q[3];
rx(0.6851) q[4];
rz(0.0026) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIIZ",
"IZIZI",
"ZIIZI",
"IIIZZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIIZ",
"IIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663
] |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -2.594076482325791, "params": [[-0.0472], [0.056600000000000004]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.009566880240389007, 0.009925817282944645], "optimization_time": 2.4979491233825684} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2124) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2124) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2124) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2124) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] |
eba59f50c284ea491834da7e16fa8fc7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [133, 197], "expectation_value": -4.219550323308187, "params": [0.39780000000000004, 0.0032, 0.3906, 0.0031000000000000003, 0.2582, -0.0177, 0.2516, -0.016, 0.0001, 0.2323, -0.0047, 0.2569, -0.0008, 0.24130000000000001, 0.0008, 0.24230000000000002, 0.010400000000000001, 0.2519, 0.0102, 0.2782, 0.391800000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 7 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110110", "11001001", "00111010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3978) q[0];
rz(0.0032) q[0];
rx(0.2582) q[1];
rz(-0.0177) q[1];
rx(0.0001) q[2];
rz(0.2323) q[2];
rx(-0.0008) q[3];
rz(0.2413) q[3];
rx(0.0104) q[4];
rz(0.2519) q[4];
rx(0.3918) q[5];
rz(0.0822) q[5];
rx(0.0019) q[6];
rz(0.2543) q[6];
rx(0.3854) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIIIZZI",
"ZZIIIIII",
"ZIIIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] |
e4f5057259aaeddd1dd7f4f1ea49da8b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [65, 1], "expectation_value": -1.7668843163247625, "params": [[-0.054700000000000006, -0.008700000000000001], [0.06720000000000001, 0.032]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006797623887878825, 0.006998452372276537], "optimization_time": 6.6032252311... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 1 | 8 | 2 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.1368) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.1641) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.1368) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0274) q[5];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII"
] | [
-1.25,
-1.5,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-1,
-0.75,
4.25,
1.5,
-0.25,
-3.25,
-1.5,
-0.25,
0.75,
-0.5,
3.5
] |
d65950f441381bc87796af7b1ba14020 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "targ... | {"states": [16263, 16319], "expectation_value": -14.408799376513452, "params": [-0.0039000000000000003, 0.0016, 2.7928, -0.0034000000000000002, 0.0021000000000000003, 0.4015, -1.5444, -0.0019, -1.4764000000000002, -0.0033, 0.060500000000000005, 0.0026000000000000003, 2.8321, -0.0, -0.0023, 0.30770000000000003, 0.718200... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + 0.5 * (Z(13) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4)... | 4 | 14 | 1 | {"smallest_eigenvalues": [-16.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.499999999999917, "smallest_bitstrings": ["00000001000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(-0.0039) q[0];
rz(0.0016) q[0];
rx(2.7928) q[1];
rz(-0.0034) q[1];
rx(0.0021) q[2];
rz(0.4015) q[2];
rx(-1.5444) q[3];
rz(-0.0019) q[3];
rx(-1.4764) q[4];
rz(-0.0033) q[4];
rx(0.0605) q[5];
rz(0.0026) q[5];
rx(2.8321) q[6];
rz(0) q[6];
rx(-0.0023) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZIZII",
"IIIIIIIZZIIIII",
"IIIZIZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZZIIIIIIII",
"IZZIIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIZIIIIIIIIIII",
"IIIIIIIIIIIIZI",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIZIII",
"IIIIIIIIIIIZII",
"IIIIIIIIIZIIII"... | [
-1,
-1.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] |
40ef9703de0f0e767127b58189c71b80 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [1649, 1653], "expectation_value": -3.837490518328355, "params": [[[1.5858, 0.0034000000000000002], [1.3352000000000002, -0.0009000000000000001], [-0.0035, -0.7754000000000001], [-0.0035, -0.8147000000000001], [1.5876000000000001, 0.0022], [1.5834000000000001, 0.0032], [1.5863, -0.0034000000000000002], [0.28... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110001010", "01010000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5858) q[0];
rz(0.0034) q[0];
rx(1.3352) q[1];
rz(-0.0009) q[1];
rx(-0.0035) q[2];
rz(-0.7754) q[2];
rx(-0.0035) q[3];
rz(-0.8147) q[3];
rx(1.5876) q[4];
rz(0.0022) q[4];
rx(1.5834) q[5];
rz(0.0032) q[5];
rx(1.5863) q[6];
rz(-0.0034) q[6];
rx(0.2863) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIZZIIIIZ",
"IIIIZZIZIII",
"IIIIZZIZIIZ",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,... |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.5198413533660764, "params": [0.0028, 0.5541, 0.0022, 0.4267, 0.8042, -0.0004, 0.0028, -0.5593, 0.0028, 0.5327000000000001, 0.0028, 0.0013000000000000002, 0.0022, 0.0036000000000000003, 0.8063, 0.0044, 0.0028, 0.001, 0.0028, 0.0016, -0.5137, -0.5407000000000001, -0.400400000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0028) q[0];
rz(0.5541) q[0];
rx(0.0022) q[1];
rz(0.4267) q[1];
rx(0.8042) q[2];
rz(-0.0004) q[2];
rx(0.0028) q[3];
rz(-0.5593) q[3];
rx(0.0028) q[4];
rz(0.5327) q[4];
crz(-0.5137) q[4], q[0];
crz(0.5555) q[3], q[4];
crz(0.0056) q[2], q[3];
crz(-0.4004) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
0,
-0.75,
-0.75
] |
d32bae70887cbda0fd64e6ae105154d4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [252, 220], "expectation_value": -82.78256825901275, "params": [0.3821, 0.8496, 1.5897000000000001, 0.0064, 1.5810000000000002, 0.1449, 0.7814, 0.35710000000000003, 1.5786, 0.0037, 1.5856000000000001, -0.0011, 1.5838, 0.27740000000000004, 0.1429, 0.6975, 0.5484, -0.5028, 0.3902, 0.0027, 1.5785, 0.0086, 1.581... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3821) q[0];
rz(0.8496) q[0];
rx(1.5897) q[1];
rz(0.0064) q[1];
rx(1.581) q[2];
rz(0.1449) q[2];
rx(0.7814) q[3];
rz(0.3571) q[3];
rx(1.5786) q[4];
rz(0.0037) q[4];
rx(1.5856) q[5];
rz(-0.0011) q[5];
rx(1.5838) q[6];
rz(0.2774) q[6];
rx(0.1429) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
3.5,
22.5,
13,
21,
23.5,
21.5,
1,
4.5
] |
3270355524554715564 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3], [8, 6], [4, 6, 7], [0, 8], [0, 6], [0, 1], [1, 2], [5, 6]]} | {"states": [181, 180], "expectation_value": -0.3539494951497588, "params": [0.6945, -0.0049, 0.687, 0.0037, 0.7107, 0.005200000000000001, 0.7057, 0.0058000000000000005, 0.7064, 0.0031000000000000003, 0.5501, 0.006500000000000001, 0.7093, -0.002, 0.7020000000000001, 0.009600000000000001, 0.7077, -0.0011, 0.6970000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(8) + 0.16666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["101011001", "010101011", "101011000", "010111001", "101001011", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6945) q[0];
rz(-0.0049) q[0];
rx(0.7107) q[1];
rz(0.0052) q[1];
rx(0.7064) q[2];
rz(0.0031) q[2];
rx(0.7093) q[3];
rz(-0.002) q[3];
rx(0.7077) q[4];
rz(-0.0011) q[4];
rx(0.6997) q[5];
rz(0.0013) q[5];
rx(0.704) q[6];
rz(0.0051) q[6];
rx(0.7059) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0,
0,
0,
0.16666666666666696,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] |
59b55089c15cad6a91f754f2be38a436 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [247, 243], "expectation_value": -0.6590016101825699, "params": [1.4280000000000002, 0.009600000000000001, 1.1841000000000002, 0.0063, 1.7028, 0.0049, 1.7006000000000001, 0.006900000000000001, 1.7072, 0.0055000000000000005, 1.7015, 0.0039000000000000003, 0.45170000000000005, 0.0066, 1.4837, 0.003100000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001100", "0100101100", "0101010010", "0110001100", "0110001001", "0111010000", "011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.428) q[0];
rz(0.0096) q[0];
rx(1.1841) q[1];
rz(0.0063) q[1];
rx(1.7028) q[2];
rz(0.0049) q[2];
rx(1.7006) q[3];
rz(0.0069) q[3];
rx(1.7072) q[4];
rz(0.0055) q[4];
rx(1.7015) q[5];
rz(0.0039) q[5];
rx(0.4517) q[6];
rz(0.0066) q[6];
rx(1.4837) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIZZZII",
"IIIIIZZZIZ",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IZZIIIIZII",
"IIZIZIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII"... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
0.1... |
aade6b836b57350e8a9bbf86526779e2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -105.24636086589527, "params": [1.5363, 0.00030000000000000003, 3.0969, 0.0068000000000000005, 0.3765, 0.0, 0.0024000000000000002, 0.009600000000000001, 0.498, 0.0099, 3.0896000000000003, 0.0085, 3.0987, 0.007200000000000001, 3.0899, 0.0031000000000000003, 3.0886, 0.0027, 0.0... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["101110000"], "largest_eigenvalue": 251.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5363) q[0];
rz(0.0003) q[0];
rx(3.0969) q[1];
rz(0.0068) q[1];
rx(0.3765) q[2];
rz(0) q[2];
rx(0.0024) q[3];
rz(0.0096) q[3];
rx(0.498) q[4];
rz(0.0099) q[4];
rx(3.0896) q[5];
rz(0.0085) q[5];
rx(3.0987) q[6];
rz(0.0072) q[6];
rx(3.0899) q[7];
rz(0.0031) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
25.5,
17.5,
2,
36,
14.5,
3,
23,
23,
-9.5
] |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -6.26466472503126, "params": [[-0.013600000000000001, -0.0128, -0.0509], [0.0158, 0.017400000000000002, 0.0591]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006719340641374812, 0.007071866989302057], "optimization_time": 8.4583806... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 4 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0748) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0748) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0748) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0748) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] |
b2a86e79e509d0d76748a475959a4d60 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [28, 86], "expectation_value": -1.3614314606011924, "params": [[0.0734, 0.07, 0.07300000000000001, 0.07740000000000001], [-0.0816, -0.0724, -0.0716, -0.0734]], "bitstrings": ["1100011", "0101001"], "total_optimization_steps": 10, "probabilities": [0.019466170144303175, 0.021360944494747937], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0734) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0734) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.0734) q[2];
cx q[1], q[2];
cx q[3], q[5];
rz(0.0734) q[5];
cx q[3], q[5];
cx q[1], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZIIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-1,
0
] |
-3476425399582412514 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3, 5], [0, 2, 5], [2, 3], [0, 1, 4], [4, 5, 6], [4, 6, 7], [0, 3], [1, 3, 6], [1, 2, 7], [4, 5, 7], [3, 6, 7], [1, 5, 7]]} | {"states": [234, 230], "expectation_value": -0.1015042767152605, "params": [[0.0609], [-0.055900000000000005]], "bitstrings": ["00010101", "00011001"], "total_optimization_steps": 10, "probabilities": [0.004213210696113554, 0.004231397621170056], "optimization_time": 2.981830358505249} | 0.5 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.166666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4999999999999996, "smallest_bitstrings": ["00011001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0609) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.0406) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(0.0203) q[1];
cx q[0], q[1];
cx q[7], q[3];
rz(0.0203) q[3];
cx q[7], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIII... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0... |
159674029209513093 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4, 5], [1, 2, 3, 5], [0, 1, 2, 4], [0, 1, 2, 5], [0, 1, 2, 3], [0, 1, 3, 4, 5]]} | {"states": [45, 53], "expectation_value": -0.98909663971875, "params": [[-0.5675], [0.3735]], "bitstrings": ["010010", "001010"], "total_optimization_steps": 60, "probabilities": [0.03939136419676468, 0.03939136419676469], "optimization_time": 3.8801965713500977} | 0.3 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.1 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3166666666666669, -1.3166666666666669], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3166666666666664, "smallest_bitstrings": ["001010", "010010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.3405) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2459) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2081) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.1513) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.18333333333333335,
0.1,
0.21666666666666667,
0.18333333333333335,
0.18333333333333335,
0.1,
0.3333333333333333,
0.3,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.6,
0.5750000000000002,
0.45000... |
feaf30b79c91a036f216c182772bdb1d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [60, 252], "expectation_value": -10.573244495668249, "params": null, "bitstrings": ["11000011", "00000011"], "total_optimization_steps": 81, "probabilities": [0.11554366625812093, 0.546588560715556], "optimization_time": 115.0621497631073} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5706) q[5], q[2];
cry(1.5708) q[2], q[4];
cry(1.2306) q[4], q[5];
cry(0.4422) q[4], q[2];
cry(1.5705) q[2], q[3];
ry(-1.5681) q[7];
ry(-1.5708) q[6];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0]... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -29.787190062500652, "params": [[-0.029300000000000003, -0.0158, 0.0035, 0.0165], [0.0526, 0.0616, 0.0674, 0.061000000000000006]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.01672834613389989, 0.01820252621087309], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2344) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2344) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2344) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2344) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] |
dcc91cdbd34687cb4cde0159b3b69295 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -1.531547568443565, "params": [[-0.0455, 0.0458, 0.06860000000000001], [0.0713, 0.0086, -0.044000000000000004]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.023110989201895336, 0.027831702809345805], "optimization_time": 3.811333656311... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.1365) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.091) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.0455) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.2502) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.1365... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
-1.5,
-1,
-0.5,
2.75,
-1.5,
-1.25,
-1.5,
-1.5,
-1,
-1,
-0.25,
-3.75,
2.25,
0.75,
2
] |
69813e7e1ac3357c75564eae7cbbd456 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"s... | {"states": [8191, 8063], "expectation_value": -16.314668036931145, "params": [[[-1.1919, 2.3445], [-0.0031000000000000003, 0.7685000000000001], [0.0029000000000000002, -0.0032], [0.0018000000000000002, 0.0021000000000000003], [-0.0028, 0.0021000000000000003], [1.6664, -0.0018000000000000002], [0.0017000000000000001, 0.... | -1.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(10)) + -2.0 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(12)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(... | 15 | 13 | 1 | {"smallest_eigenvalues": [-19.0, -19.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.0, "smallest_bitstrings": ["1000011000000", "0000010000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-1.1919) q[0];
ry(-0.0031) q[1];
ry(0.0029) q[2];
ry(0.0018) q[3];
ry(-0.0028) q[4];
ry(1.6664) q[5];
ry(0.0017) q[6];
ry(0.0021) q[7];
ry(0.0021) q[8];
ry(0.0021) q[9];
ry(0.0021) q[10];
ry(0.0002) q[11];
ry(-0.0024) q[12];
cx q[12], q[0];
cx q[11], q[12... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIZ",
"IIIIIIIZIIIIZ",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IZZIIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIZIIIIIIIIII",
"IZIIIIIIIIIZI",
"IIZIIIIIIIIZI",
"ZIIIIIIIIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIZIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIZIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
-1.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
a9df2c16e7d96c32af9751f0e1a9f46a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [1139, 1147], "expectation_value": -1.171272681484499, "params": [0.7998000000000001, 0.8067000000000001, 0.2919, 0.2911, 0.0025, 0.0023, 0.6551, 0.6566000000000001, 0.8046000000000001, 0.8016000000000001, 0.8103, 0.8084, 0.798, 0.8023, 0.7973, 0.7973, 0.553, 0.5526, 0.8067000000000001, 0.8078000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(3) @ Z(4) @ Z(5... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.90625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.90625, "smallest_bitstrings": ["01110000100"], "largest_eigenvalue": 7.09375} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7998) q[0];
ry(0.2919) q[1];
ry(0.0025) q[2];
ry(0.6551) q[3];
ry(0.8046) q[4];
ry(0.8103) q[5];
ry(0.798) q[6];
ry(0.7973) q[7];
ry(0.553) q[8];
ry(0.8067) q[9];
ry(0.8004) q[10];
crz(0.0131) q[10], q[0];
crz(0.0013) q[9], q[10];
crz(0.0283) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIZIIIZIII",
"IIZIIIZIIII",
"IIIIIIIIZIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.... |
2933316839893753680 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 6], [0, 2, 4], [1, 3, 9], [9, 4, 7], [5, 6], [1, 4, 5], [0, 1, 2, 3, 5, 7, 8], [9, 3, 4], [9, 2, 5, 7], [0, 10, 3], [0, 4, 5, 9, 10], [8, 1, 10, 4], [10, 2, 6, 7], [1, 2, 3, 5, 7, 8, 10], [2, 4, 5, 7]]} | {"states": [423, 487], "expectation_value": -3.7023587601803154, "params": [0.162, 0.16160000000000002, 0.1636, 0.1721, 1.5797, 1.5679, 1.5730000000000002, 1.5724, 0.8524, 0.8541000000000001, 1.5698, 1.5675000000000001, 0.0031000000000000003, 0.0029000000000000002, 0.257, 0.3538, 1.5727, 1.5752000000000002, 1.5696, 1.5... | 0.5 * (Z(8) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.047619047619047616 * (Z(2) @ Z(8)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.13095238095238093 * (Z(1) @ Z(8)) + 0.02380... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.116666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["11000011000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.162) q[0];
ry(0.1636) q[1];
ry(1.5797) q[2];
ry(1.573) q[3];
ry(0.8524) q[4];
ry(1.5698) q[5];
ry(0.0031) q[6];
ry(0.257) q[7];
ry(1.5727) q[8];
ry(1.5696) q[9];
ry(1.5769) q[10];
crz(0.0189) q[10], q[0];
crz(0.0029) q[9], q[10];
crz(-0.0021) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IIIIZIIIZII",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"IIZIIIZIIII",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIIZI",
"IIZIIIIZIII",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IZIIIIIIIIZ",
"IZIIIIIIZ... | [
0.5,
0.023809523809523808,
0.08333333333333333,
0.047619047619047616,
0.19047619047619047,
0.08333333333333333,
0.21666666666666667,
0.25,
0.13095238095238093,
0.023809523809523808,
0.047619047619047616,
0.25,
0.047619047619047616,
0.19047619047619047,
0.047619047619047616,
0.166666666... |
df4ecb6ebc48c9049ce6597f2a05ee78 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 7}, {"weight": 20, "source": 1, "target": 6}, {"weight": 18, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -9.255437475911567, "params": [[-0.035], [0.048600000000000004]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0032254612952172103, 0.0034854804744819034], "optimization_time": 3.6021711826324463} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 200.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.315) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.315) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.315) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(-0.315) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
9.5,
24.5,
23.5,
22,
4,
12.5,
0.5,
5
] |
6444895837937385223 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 1, 3], [2, 4], [2, 5]]} | {"states": [51, 28], "expectation_value": -0.590437106689168, "params": [[0.36710000000000004], [-0.3662]], "bitstrings": ["001100", "100011"], "total_optimization_steps": 40, "probabilities": [0.04043545537504582, 0.040603748606629624], "optimization_time": 1.4189982414245605} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.3671) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(0.1224) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.1224) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(0.1224) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.3671... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIZIIZ",
"IIZIZI",
"IZIZII",
"ZIIZII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0
] |
9a4ba729115cab9e89cb59ee0f761092 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.02351808060435834, "params": [[-0.07780000000000001], [0.07680000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.677255175800303e-05, 1.677255175800304e-05], "optimization_time": 13.40773749351501... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.023124999999981], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023124999999973, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": NaN} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0389) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.00075,
-0.00075,
-0.0005000000000000001,
-0.00075,
-0.00075,
-0.0005000000000000001,
0.25,
0.000375,
0.000375,
0.00... |
2c8d5f9e23ee6d88333a71ac770463ca | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [337, 849], "expectation_value": -117.39710597308836, "params": [[0.0024000000000000002, 0.1598, 0.7537, 0.1411, 0.8258000000000001, 0.0702, 0.8758, -0.0988, 0.0026000000000000003, -0.0723, 0.8048000000000001], [0.0024000000000000002, 0.7927000000000001, 0.9893000000000001, -0.20520000000000002, 0.8062, -0.0... | 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + 2.0 * Z(3) + 6.0 * Z(1) + 7.5 * Z(2) + 14.0 * Z(4) + 24.5 * Z(6) + 1.0 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["10010101110"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0024) q[0];
ry(0.1598) q[1];
ry(0.7537) q[2];
ry(0.1411) q[3];
ry(0.8258) q[4];
ry(0.0702) q[5];
ry(0.8758) q[6];
ry(-0.0988) q[7];
ry(0.0026) q[8];
ry(-0.0723) q[9];
ry(0.8048) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"IZIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2,
6,
7.5,
14,
24.5,
1,
5,
14.5,
0.5,
-12.5,
-12.5
] |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [10, 5], "expectation_value": -0.22264524387252987, "params": [[-0.0502], [0.0644]], "bitstrings": ["0101", "1010"], "total_optimization_steps": 10, "probabilities": [0.06595400298934176, 0.07191507312239326], "optimization_time": 1.1569836139678955} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.1255) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.1506) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0251) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.1506) q[1];
cx q[3], q[1];
rz(0.1506) q[2];
rz(0.0251) q[0];
rz(0)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] |
1d36f605f450bd24c53bed4c61ab6422 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [49055, 47007], "expectation_value": -18.703191821109062, "params": [0.806, 0.7529, 0.027200000000000002, 0.0109, 1.0808, 1.0627, -0.7095, -0.6938000000000001, 0.46880000000000005, 0.4762, 0.7092, 0.5065000000000001, 0.6518, 0.7105, 0.8388, 0.6243000000000001, 0.7761, 0.7741, -0.0193, 0.0181, 0.0002, 0.0016,... | -0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6... | 14 | 16 | 2 | {"smallest_eigenvalues": [-19.166666666666586], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.166666666666583, "smallest_bitstrings": ["0100100001100000"], "largest_eigenvalue": NaN} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.806) q[0];
ry(0.0272) q[1];
ry(1.0808) q[2];
ry(-0.7095) q[3];
ry(0.4688) q[4];
ry(0.7092) q[5];
ry(0.6518) q[6];
ry(0.8388) q[7];
ry(0.7761) q[8];
ry(-0.0193) q[9];
ry(0.0002) q[10];
ry(0.5164) q[11];
ry(0.6184) q[12];
ry(0.665) q[13];
ry(0.6471) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIZIII",
"IIIIZIIIIIIIZIII",
"IIIIZZIIIIIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIZIIIIIZIIII",
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZIZIII",
"IIIIIZIIIIZIIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIII... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
... |
fcfd54ef615390c036c2590109c0afc6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": ... | {"states": [2050, 2047], "expectation_value": -32.62127415627477, "params": [[[-0.0083, 1.0223], [0.0026000000000000003, -0.032100000000000004], [0.0024000000000000002, 0.0017000000000000001], [0.0029000000000000002, 0.0021000000000000003], [0.0026000000000000003, 0.0028], [0.0025, 0.0026000000000000003], [0.0028, 0.00... | -1.0 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + 3.25 * (Z(3)... | 15 | 12 | 3 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 34.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0083) q[0];
ry(0.0026) q[1];
ry(0.0024) q[2];
ry(0.0029) q[3];
ry(0.0026) q[4];
ry(0.0025) q[5];
ry(0.0028) q[6];
ry(0.0023) q[7];
ry(0.0027) q[8];
ry(-0.003) q[9];
ry(0.0036) q[10];
ry(-0.0223) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIZIIIIIIIZI",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIZIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZIZI",
"ZIIIIIIIZ... | [
-1,
-1.75,
-1,
-0.25,
-1,
-1.5,
-1.75,
-0.5,
-0.25,
-0.25,
-0.5,
-2.5,
-0.5,
3.25,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-1.75,
-0.25,
-0.75,
-2.75,
-0.25,
-0.5,
-1.5,
-0.75,
-1,
-1.5,
-1.25,
-1.5,
-0.25,
-1.5,
-1,
-1.5,
3.25,
-0.25,
-1.25,
-0... |
b99f0e315d6c4ec38babd2628ecf87b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [67, 3], "expectation_value": -0.07877810997820567, "params": [[0.0635], [-0.0545]], "bitstrings": ["110111100", "111111100"], "total_optimization_steps": 10, "probabilities": [0.002189659683555928, 0.002204218005299875], "optimization_time": 2.207000494003296} | -0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["111111100", "110111100"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(-0.0635) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(0.0953) q[8];
cx q[0], q[8];
cx q[6], q[1];
rz(-0.0318) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.0318) q[3];
cx q[6], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIZII",
"IZIIIIIII"
] | [
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.75,
-0.5,
0.25,
0.75
] |
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -30.558307637888625, "params": [[0.028800000000000003, 0.0028, -0.0017000000000000001], [-0.0833, -0.0765, -0.057600000000000005]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014800796120976303, 0.018733878105929913], "optimiza... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2016) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2016) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2016) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2016) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] |
-3942045383418848897 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [0, 2, 3, 7], [0, 2, 3, 4], [1, 2, 4, 5], [2, 4, 5, 6]]} | {"states": [222, 246], "expectation_value": -0.7286730128817186, "params": [[0.4665], [-0.4456]], "bitstrings": ["00100001", "00001001"], "total_optimization_steps": 50, "probabilities": [0.011516565897959564, 0.011734151475322505], "optimization_time": 3.093832492828369} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["01010010", "11000010", "00001001"], "largest_eigenvalue": 4.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(0.4665) q[6];
cx q[7], q[6];
cx q[7], q[0];
rz(0.0777) q[0];
cx q[7], q[0];
cx q[7], q[2];
rz(0.0777) q[2];
cx q[7], q[2];
cx q[6], q[2];
rz(0.0777) q[2];
cx q[6], q[2];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(x0) q[6];
cx q[7],... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIIIZII",
"IIIIIZIZ",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"IZIZIIII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZI",
"IIIZIIZI",
"IZZIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.... |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [1, 17], "expectation_value": -6.954915365150812, "params": [[[0.0004, 0.3356], [0.5891000000000001, 0.003], [0.0035, 0.4339], [0.0051, 0.2082], [0.0012000000000000001, 0.4576], [0.603, 0.0031000000000000003]], [[0.0033, 0.37270000000000003], [0.5933, 0.003], [-0.0001, 0.2919], [0.0008, 0.3584], [0.0061, 0.4... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0004) q[0];
rz(0.3356) q[0];
rx(0.5891) q[1];
rz(0.003) q[1];
rx(0.0035) q[2];
rz(0.4339) q[2];
rx(0.0051) q[3];
rz(0.2082) q[3];
rx(0.0012) q[4];
rz(0.4576) q[4];
rx(0.603) q[5];
rz(0.0031) q[5];
rx(0.0033) q[0];
rz(0.3727) q[0];
rx(0.5933) q[1];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] |
6a865e73d4e6861d0009457718f7c0e7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [4606, 12798], "expectation_value": -2.8332196218312875, "params": [0.8399000000000001, 0.0753, 1.1062, 0.0166, 0.32320000000000004, 0.4621, 0.2822, -0.4988, 0.35350000000000004, 0.46590000000000004, 1.0949, -0.0358, 1.0704, -0.0051, 1.0491000000000001, -0.0038, 1.0626, -0.0037, 1.0719, -0.001700000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(6) @ Z(0)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(0) ... | 4 | 14 | 2 | {"smallest_eigenvalues": [-4.093750000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.09375, "smallest_bitstrings": ["00111000000001"], "largest_eigenvalue": 5.90625} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.8399) q[0];
rz(0.0753) q[0];
rx(1.1062) q[1];
rz(0.0166) q[1];
rx(0.3232) q[2];
rz(0.4621) q[2];
rx(0.2822) q[3];
rz(-0.4988) q[3];
rx(0.3535) q[4];
rz(0.4659) q[4];
rx(1.0949) q[5];
rz(-0.0358) q[5];
rx(1.0704) q[6];
rz(-0.0051) q[6];
rx(1.0491) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIZZIII",
"IIIIIIIIZIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIZZZIII",
"IIIIIIIIIIZIIZ",
"IIIIIIIZIIIIIZ",
"IIIIIIZIIIIIIZ",
"IIIIIZIIIIIIIZ",
"IIIIZIIIIIIIIZ",
"IIIIIIIZIIZIII",
"IIIIIIZIIIZIII",
"IIIIIZIIIIZIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-... |
85892c11b8f43dcff24467d969952465 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [711, 199], "expectation_value": -73.4182494123019, "params": [0.7317, 0.2523, 0.4842, 0.3433, 1.2014, 0.0171, 1.2012, -0.15410000000000001, 0.5672, -0.2461, 0.0034000000000000002, 0.6224000000000001, 0.0025, 0.8563000000000001, 1.201, 0.0045000000000000005, 1.208, -0.001, 1.204, 0.045000000000000005, 0.7344... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(5) @ Z(8)) + 23.0 * Z(2) + 4.0 * Z(0) + 2.0 * Z(4) + 21.0 * Z(3) + 1.0 * Z(1) + 10.0 * Z(7)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["1100111000"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7317) q[0];
rz(0.2523) q[0];
rx(0.4842) q[1];
rz(0.3433) q[1];
rx(1.2014) q[2];
rz(0.0171) q[2];
rx(1.2012) q[3];
rz(-0.1541) q[3];
rx(0.5672) q[4];
rz(-0.2461) q[4];
rx(0.0034) q[5];
rz(0.6224) q[5];
rx(0.0025) q[6];
rz(0.8563) q[6];
rx(1.201) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIZIIIIZII",
"IIZIIIIIIZ",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IZIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIZIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
23,
4,
2,
21,
1,
10,
14.5,
9,
-3.5,
-12.5
] |
9915ff93784d747e82bcd9a73a2399e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 29.945663690567017} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8051) q[3];
ry(-0.3504) q[2];
ry(-0.3105) q[1];
cry(0.3649) q[3], q[4];
cry(-0.2282) q[3], q[2];
cry(0.3307) q[4], q[3];
cry(-0.24... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] |
4c48a0bc3d9383f39c57939a9b280334 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [81, 89], "expectation_value": -6.555349184261167, "params": [[0.0014, -0.0044, 1.0427, -0.002, 1.5694000000000001, 0.6604, 0.003, 0.1892, 1.5838], [-0.0035, -0.0016, 1.0483, -0.0024000000000000002, 0.9049, -0.6651, 0.003, 0.2918, 1.56], [0.0034000000000000002, -0.0016, 1.0441, -0.0022, 0.8969, 0.8023, 0.003... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100110", "110110010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0014) q[0];
ry(-0.0044) q[1];
ry(1.0427) q[2];
ry(-0.002) q[3];
ry(1.5694) q[4];
ry(0.6604) q[5];
ry(0.003) q[6];
ry(0.1892) q[7];
ry(1.5838) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-1.5,
-1,
-1,
-2,
-1
] |
6484834437226800471 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 6, 7], [0, 5], [3, 5]]} | {"states": [219, 155], "expectation_value": -1.0078272624619007, "params": null, "bitstrings": ["00100100", "01100100"], "total_optimization_steps": 57, "probabilities": [0.14032362325037823, 0.1520475802572063], "optimization_time": 69.84665250778198} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.1 * Z(2) + 0.1 * Z(1) + 0.1 * Z(4) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[5];
ry(0.7003) q[3];
cry(-0.7092) q[0], q[5];
cry(1.1516) q[3], q[0];
cry(0.4386) q[0], q[3];
ry(-0.3186) q[5];
ry(0.2661) q[0];
ry(0.483) q[4];
cry(0.3493) q[0], q[4];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZIII"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1,
0.1,
0.1,
0.1,
0.1,
0,
0,
0
] |
-5606904408919019912 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 1, 6], [4, 6], [3, 5, 6], [1, 3], [0, 1, 2, 5]]} | {"states": [35, 51], "expectation_value": -0.46053050061227857, "params": [[-0.2431], [0.2524]], "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 30, "probabilities": [0.015408505059725384, 0.015578014613635312], "optimization_time": 1.7582452297210693} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(-0.081) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.081) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.1216) q[5];
cx q[1], q[5];
cx q[1], q[0];
rz(-0.1216) q[0];
cx q[1], q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIIIZZI",
"IZIIZII",
"IIIIZIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666663,
0.45833333... |
18eef7556e7c99f2056daf5370482c12 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [202, 234], "expectation_value": -42.98247639219426, "params": null, "bitstrings": ["100110101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.17712296465766092, 0.21581777408593364], "optimization_time": 206.91220378875732} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(23.9941) q[2];
ry(63.0778) q[5];
ry(13.1571) q[3];
ry(13.4204) q[1];
cry(1.7253) q[1], q[5];
cry(-17.8181) q[5], q[3];
ry(4.1019) q[6];
ry(-0.2246) q[7];
cry(2.5876) q[3], q[7];
cry(-41... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [443, 427], "expectation_value": -3.04630781205157, "params": [2.6756, 0.006200000000000001, 2.6095, 0.003, 1.5068000000000001, 0.0027, 2.3423000000000003, 0.0081, 1.5334, 0.0039000000000000003, 2.6677, 0.0034000000000000002, 1.5171000000000001, 0.0037, 2.6447000000000003, 0.0014, 2.6341, 0.0047, 0.008, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.6756) q[0];
rz(0.0062) q[0];
rx(2.6095) q[1];
rz(0.003) q[1];
rx(1.5068) q[2];
rz(0.0027) q[2];
rx(2.3423) q[3];
rz(0.0081) q[3];
rx(1.5334) q[4];
rz(0.0039) q[4];
rx(2.6677) q[5];
rz(0.0034) q[5];
rx(1.5171) q[6];
rz(0.0037) q[6];
rx(2.6447) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] |
5894180811578217904 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [1, 3, 5, 6, 8, 9], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10], [0, 1, 2, 3, 4, 6, 8, 9], [1, 2, 3, 4, 5, 6, 7, 9, 10]]} | {"states": [923, 1947], "expectation_value": -1.1380928535687984, "params": [0.9037000000000001, -0.3884, 0.8976000000000001, 0.0002, 1.3323, -0.1686, 1.7646000000000002, 0.0059, 1.5712000000000002, 0.0019, 1.5644, 0.0027, 1.5734000000000001, -0.0036000000000000003, 1.5715000000000001, 0.006900000000000001, 0.2877, -0.... | 0.05119047619047619 * (Z(0) @ Z(1)) + 0.06507936507936507 * (Z(2) @ Z(1)) + 0.0623015873015873 * (Z(2) @ Z(0)) + 0.0873015873015873 * (Z(3) @ Z(1)) + 0.05119047619047619 * (Z(3) @ Z(0)) + 0.06507936507936507 * (Z(3) @ Z(2)) + 0.06507936507936507 * (Z(4) @ Z(1)) + 0.0623015873015873 * (Z(4) @ Z(0)) + 0.0761904761904762 ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-1.2119047619047625, -1.2119047619047625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2007936507936519, "smallest_bitstrings": ["00001100100", "00100100100"], "largest_eigenvalue": 7.000000000000003} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9037) q[0];
rz(-0.3884) q[0];
rx(1.3323) q[1];
rz(-0.1686) q[1];
rx(1.5712) q[2];
rz(0.0019) q[2];
rx(1.5734) q[3];
rz(-0.0036) q[3];
rx(0.2877) q[4];
rz(-0.9977) q[4];
rx(0.2128) q[5];
rz(-0.9915) q[5];
rx(1.551) q[6];
rz(-0.0006) q[6];
rx(1.5929) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZI... | [
0.05119047619047619,
0.06507936507936507,
0.0623015873015873,
0.0873015873015873,
0.05119047619047619,
0.06507936507936507,
0.06507936507936507,
0.0623015873015873,
0.0761904761904762,
0.06507936507936507,
0.08055555555555555,
0.044444444444444446,
0.058333333333333334,
0.08055555555555555... |
4148495353850005104 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 6], [1, 3], [0, 3], [0, 1], [2, 3], [9, 3], [3, 7], [4, 7], [6, 7], [8, 1], [0, 9], [2, 5], [4, 6], [9, 4], [9, 7], [8, 3], [1, 6], [3, 5], [5, 6], [4, 5], [0, 4], [2, 7], [3, 4]]} | {"states": [235, 234], "expectation_value": -3.9611299303435623, "params": [0.447, -0.0603, 0.0027, 0.001, 1.5082, 1.6271, 1.5832000000000002, 1.5542, 1.7348000000000001, 1.3964, -0.22940000000000002, 0.2238, 1.5644, 1.5808, -0.0031000000000000003, 0.0, 1.3332000000000002, 1.8114000000000001, 0.8442000000000001, 0.7721... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011101010", "1010101010", "0110100011", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.447) q[0];
ry(0.0027) q[1];
ry(1.5082) q[2];
ry(1.5832) q[3];
ry(1.7348) q[4];
ry(-0.2294) q[5];
ry(1.5644) q[6];
ry(-0.0031) q[7];
ry(1.3332) q[8];
ry(0.8442) q[9];
crx(-0.9233) q[9], q[0];
crx(0.6101) q[8], q[9];
crx(-0.5678) q[7], q[8];
crx(0.0057) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"IIIZIIIIZI",
"ZIIIIIZIII",
"IIIIIIZIZI",
"ZIIIIIIIIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIZIIII",
"ZIIIIZIIII",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IIIZZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
ac1f174c7c8aefd4d3fe63daa83b99d5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [504, 511], "expectation_value": -9.615701312990927, "params": null, "bitstrings": ["000000111", "000000000"], "total_optimization_steps": 100, "probabilities": [0.09588923371402847, 0.4656420535322759], "optimization_time": 174.93005180358887} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[5], q[3];
cry(1.5708) q[3], q[4];
cry(1.5681) q[8], q[7];
cry(1.231) q[7], q[8];
cry(1.57) q[7], q[6];
cry(1.5681) q[2], q[0];
ry(1.0829) q[2];
cry(1.5701) q[0], q[1];
ry(0.3... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
0.5,
-1.5,
-2,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [476, 958], "expectation_value": -24.02738615215402, "params": null, "bitstrings": ["1111000100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.15696165053451847, 0.42690998683539116], "optimization_time": 442.1918320655823} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 1 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110000010000", "1111001000101", "1110001000001"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(-2.4156) q[5];
ry(-1.3446) q[7];
ry(10.4071) q[9];
ry(3.2245) q[4];
ry(0.2846) q[6];
cry(-0.6534) q[6], q[5];
cry(0.3327) q[0], q[5];
ry(-0.0267) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] |
6906407679808988270 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 6], [0, 8], [0, 2], [1, 2], [1, 7], [2, 5], [1, 6], [0, 4], [8, 1], [1, 3], [9, 4]]} | {"states": [254, 238], "expectation_value": -3.9291428938769224, "params": [-0.0066, 0.0004, -0.0074, 0.0006000000000000001, 1.3336000000000001, 1.3607, 1.5598, 1.5534000000000001, 1.4224, 1.659, 0.8604, 0.6572, 1.5783, 1.5912000000000002, 1.4727000000000001, 1.5324, 1.5405, 1.5993000000000002, 0.1797, -0.155, 0.0162, ... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(7) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011100110", "1100011001", "1100010001", "0011101110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0066) q[0];
ry(-0.0074) q[1];
ry(1.3336) q[2];
ry(1.5598) q[3];
ry(1.4224) q[4];
ry(0.8604) q[5];
ry(1.5783) q[6];
ry(1.4727) q[7];
ry(1.5405) q[8];
ry(0.1797) q[9];
crx(0.0162) q[9], q[0];
crx(0.1808) q[8], q[9];
crx(0.7502) q[7], q[8];
crx(0.7365) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZII",
"IIIIIIIZIZ",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIZIIIIIZI",
"IIIIZIIZII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"ZIIIIZIIII",
"IIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
5599bf10ca71927ac876cacb8b12fa55 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [22, 69], "expectation_value": -1.7676389138815616, "params": [[0.0641, 0.0702, 0.0765], [-0.057600000000000005, -0.052000000000000005, -0.059800000000000006]], "bitstrings": ["1101001", "0111010"], "total_optimization_steps": 10, "probabilities": [0.01520711769709883, 0.015828097703021293], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0641) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0641) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0641) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0641) q[3];
cx q[0], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-2.5,
-1.5,
-0.5,
-1.5
] |
e6db2dfa08ae604c90d51443a84ac3aa | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": ... | {"states": [127, 895], "expectation_value": -16.148276845510008, "params": null, "bitstrings": ["1110000000", "0010000000"], "total_optimization_steps": 100, "probabilities": [0.056403061430086616, 0.525069991821818], "optimization_time": 191.35102701187134} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0010000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[5], q[0];
cry(1.5708) q[0], q[4];
cry(1.5357) q[4], q[3];
cry(1.1916) q[4], q[5];
cry(-1.0432) q[4], q[0];
ry(-0.0813) q[0];
cry(0.0417) q[3], q[0];
cry(1.2793) q[1... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
0.5,
-2.5,
1,
-2,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] |
60c88ab22b149e82bb7da24a7941f270 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [70, 38], "expectation_value": -0.3768810581325747, "params": [[-0.07740000000000001], [0.07590000000000001]], "bitstrings": ["0111001", "1011001"], "total_optimization_steps": 10, "probabilities": [0.009430395502179419, 0.00943039550217942], "optimization_time": 1.642801284790039} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1011001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0774) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0774) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0774) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0774) q[3];
cx q[0], q[3];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
-1,
-1
] |
b80d831cd9b07b1f2aaf1d64249cf046 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 106], "expectation_value": -1.6396914489961478, "params": [0.0025, 0.5702, 0.7993, 0.0041, 0.8, 0.0002, 0.0024000000000000002, 0.5995, 0.8091, 0.007, 0.5651, 0.21450000000000002, 0.7979, 0.23450000000000001, 0.30210000000000004, 0.48500000000000004, 0.0025, 0.0063, 0.7972, 0.0053, 0.7977000000000001, 0.... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 8 | 2 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0025) q[0];
rz(0.5702) q[0];
rx(0.7993) q[1];
rz(0.0041) q[1];
rx(0.8) q[2];
rz(0.0002) q[2];
rx(0.0024) q[3];
rz(0.5995) q[3];
rx(0.8091) q[4];
rz(0.007) q[4];
rx(0.5651) q[5];
rz(0.2145) q[5];
rx(0.7979) q[6];
rz(0.2345) q[6];
rx(0.3021) q[7];
rz(0.485)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
... |
d6a0416211a923ad5745888e36470119 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [504, 511], "expectation_value": -0.09663924400753071, "params": [[-0.0158], [0.0155]], "bitstrings": ["000000111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0020254127781950382, 0.002027387994519636], "optimization_time": 2.0815999507904053} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.0632) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0158) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0632) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.079) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x1) q[5... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
-2,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] |
90ed954541db23a75eecb07977c28089 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3791, 3887], "expectation_value": -0.40364448955729515, "params": [[-0.0835, -0.0777, -0.0746], [0.0795, 0.07390000000000001, 0.0693]], "bitstrings": ["000100110000", "000011010000"], "total_optimization_steps": 10, "probabilities": [0.0005677207525938194, 0.0005677207525938201], "optimization_time": 36.925... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000011010000", "100000000110", "001000101000", "100000001001", "000100110000", "001001000100", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0104) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0104) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0104) q[0];
cx q[3], q[0];
cx q[4], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... |
6ba19468e6c5e5082f99c29552d3272c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1482, 1226], "expectation_value": -121.6074651891478, "params": [[[0.5222, 0.0034000000000000002], [0.021, -0.0035], [0.7653000000000001, 0.0066], [0.7521, 0.0047], [1.5777, 0.5674], [-0.0055000000000000005, 0.6129], [0.012400000000000001, 0.2696], [0.1738, 1.4587], [0.006500000000000001, 1.5858], [1.4107, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(0) + -6.5 * Z(1) + 20.0 *... | 15 | 11 | 2 | {"smallest_eigenvalues": [-140.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["01100110101"], "largest_eigenvalue": 190.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5222) q[0];
ry(0.021) q[1];
ry(0.7653) q[2];
ry(0.7521) q[3];
ry(1.5777) q[4];
ry(-0.0055) q[5];
ry(0.0124) q[6];
ry(0.1738) q[7];
ry(0.0065) q[8];
ry(1.4107) q[9];
ry(1.5855) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7.5,
-6.5,
20,
5.5,
22,
3.5,
-7.5,
25,
-3,
25.5,
-5.5
] |
6272802841015324019 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]} | {"states": [58, 45], "expectation_value": -0.00010996751996814047, "params": [[-0.003], [0.0064]], "bitstrings": ["1000101", "1010010"], "total_optimization_steps": 10, "probabilities": [0.007814016205355805, 0.007814016205355807], "optimization_time": 1.6616637706756592} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4999999999999996, "smallest_bitstrings": ["0101000", "1010010", "1000101"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(-0.001) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.001) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.001) q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(-0.001) q[3];
cx q[2], q[3];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"ZIIIZII",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"IIIIIZZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.3333333333333333,
0.3333333333333333,
0.16666666666... |
-2070272192972975425 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 3, 4, 5], [0, 1, 5, 6], [1, 3, 4, 5, 6], [0, 2, 4, 5, 6], [1, 2, 3], [0, 3, 6], [0, 1, 4, 5], [1, 2, 4, 5], [0, 3, 4]]} | {"states": [103, 47], "expectation_value": -2.350605613821749, "params": null, "bitstrings": ["0011000", "1010000"], "total_optimization_steps": 34, "probabilities": [0.043873417488404634, 0.9020331826068068], "optimization_time": 46.748924255371094} | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.35 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.35 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.2166666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.56) q[4];
ry(1.4234) q[1];
ry(1.0625) q[6];
cry(-0.9133) q[3], q[0];
cry(0.4517) q[4], q[6];
ry(0.5074) q[3];
cry(-0.5498) q[1], q[0];
cry(0.607) q[4], q[3];
cry(-0.8612) q[5], q[2];
cry(-0.3501) q[6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.56) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OP... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZ... | [
0.21666666666666667,
0.3,
0.1,
0.26666666666666666,
0.35,
0.26666666666666666,
0.18333333333333335,
0.35,
0.1,
0.15000000000000002,
0.21666666666666667,
0.3333333333333333,
0.25,
0.3,
0.21666666666666667,
0.3,
0.21666666666666667,
0.21666666666666667,
0.35,
0.18333333333333335,... |
ac36c5a153720f2afd43ce774542e80a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.08670274291519937, "params": [[0.0159], [-0.0257]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.0161088752912674, 0.016133549603724626], "optimization_time": 1.730738878250122} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.008) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0716) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0477) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0795) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.25,
-2.25,
-1.5,
-2.5,
-0.75,
-1.5,
2,
-1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
2.5,
-0.5,
0
] |
7612844348063935763 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [0, 2, 4], [3, 5, 7], [0, 1], [5, 6, 7], [1, 6]]} | {"states": [147, 155], "expectation_value": -1.1947223261077125, "params": [1.0018, 0.0016, 0.9873000000000001, 0.0032, 0.9843000000000001, 0.0045000000000000005, 0.3803, 0.007, 0.9999, -0.0011, 0.9982000000000001, 0.0071, 1.0031, 0.0041, 0.9984000000000001, 0.0041, 1.0077, 0.0018000000000000002, 0.9949, 0.0033, 1.0017... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.1666666666666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0018) q[0];
rz(0.0016) q[0];
rx(0.9843) q[1];
rz(0.0045) q[1];
rx(0.9999) q[2];
rz(-0.0011) q[2];
rx(1.0031) q[3];
rz(0.0041) q[3];
rx(1.0077) q[4];
rz(0.0018) q[4];
rx(1.0017) q[5];
rz(0.0003) q[5];
rx(1.0014) q[6];
rz(0.0007) q[6];
rx(1.0077) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIZIII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIZIII",
"IIIIIIZZ",
"IZIIIIZI",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.33333333333333326,
0.33333333333333326,
0.16666666666666666,
... |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.2752042334109547, "params": [[0.060000000000000005, 0.0752], [-0.0398, -0.0682]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.019414950188358107, 0.020064667507628517], "optimization_time": 2.7074880599975586} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100110", "100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.03) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.03) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.06) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.09) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.03) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] |
48b5e88333d563de0343d06f94299301 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 5}, {"sour... | {"states": [338, 342], "expectation_value": -6.252198263872636, "params": [0.39080000000000004, 0.3977, -0.016900000000000002, -0.017400000000000002, 0.3894, 0.39440000000000003, 0.0011, -0.0002, 0.39680000000000004, 0.3911, 0.0022, 0.0026000000000000003, 0.26630000000000004, 0.269, 0.3784, 0.3778, 0.007200000000000001... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(4) + -... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010101001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3908) q[0];
ry(-0.0169) q[1];
ry(0.3894) q[2];
ry(0.0011) q[3];
ry(0.3968) q[4];
ry(0.0022) q[5];
ry(0.2663) q[6];
ry(0.3784) q[7];
ry(0.0072) q[8];
crz(-0.2142) q[8], q[0];
crz(-0.0056) q[7], q[8];
crz(-0.0077) q[6], q[7];
crz(0.1758) q[5], q[6];
crz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"ZIIIIIZII",
"IIZZIIIII",
"IIIZIIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZIIIZIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
-0.5,
-1,
-1,
-1
] |
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