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 126 44.7k | 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 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-4212810496543102825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [1, 5], [1, 3], [4, 5]]} | {"states": [50, 26], "expectation_value": -1.8439305686339837, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 37, "probabilities": [0.05648119898290764, 0.7993405445161581], "optimization_time": 26.432786464691162} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "001101", "011010", "100101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.0471975575762202) q[0];
cx q[2], q[0];
rz(-1.926944115382412e-08) q[0];
rx(0.785398177000778) q[0];
rz(-1.926944115382412e-08) q[2];
rx(0.785398177000778) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-1.0471975575762202) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], 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];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIZIZ",
"ZIIIZI",
"IIZIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.649519 | [
-1.0471975575762202,
-1.9269441291875798e-8,
0.7853981770007781
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 104 |
-3602266059262500002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 10, 5], [9, 10, 5, 6], [1, 9], [2, 4, 5, 7, 9], [2, 3, 4, 5, 7, 8, 10], [0, 2, 3, 5, 9, 10], [8, 10, 6, 7], [8, 9, 6, 7], [1, 2, 4, 7, 8, 10], [0, 1, 3, 4, 6, 7, 10], [8, 1, 10, 5], [0, 2, 3, 4, 10], [0, 2, 3, 4, 5], [9, 3, 7], [0, 9, 4]]} | {"states": [507, 491], "expectation_value": -3.510575515414635, "params": [-0.0029000000000000002, -0.003, -0.0026000000000000003, -0.0026000000000000003, 1.5621, 1.5765, 2.5854, 0.5425, 1.2159, 1.7294, 1.5810000000000002, 1.5668, 2.2941000000000003, 2.3874, 1.9560000000000002, 1.1152, 2.027, 1.179, 1.3526, 1.903600000... | 0.08333333333333333 * (Z(0) @ Z(9)) + 0.3071428571428571 * (Z(2) @ Z(9)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.19047619047619047 * (Z(6) @ Z(9)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.3071428571428571 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(9)) + 0.19999999999999998 * (Z(10) @ Z(0)) + 0.11666666666666... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.566666666666667, "smallest_bitstrings": ["11000010100"], "largest_eigenvalue": 14.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.07696660253212281) q[0];
rz(pi/2) q[0];
ry(-0.008665288497193654) q[1];
ry(1.7328328789435186) q[2];
ry(2.5695568360897347) q[3];
ry(1.2254473946019768) q[4];
ry(1.705737647868458) q[5];
ry(2.404038137300386) q[6];
ry(1.8279587883021167) q[7];
ry(2.11698763117485... | 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": []} | [
"IZIIIIIIIIZ",
"IZIIIIIIZII",
"IIIIIIIIZIZ",
"IZIIZIIIIII",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"ZZIIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IZIZIIIIIII",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IZIIIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIZIIII... | [
0.08333333333333333,
0.3071428571428571,
0.19047619047619047,
0.19047619047619047,
0.16666666666666669,
0.3071428571428571,
0.08333333333333333,
0.19999999999999998,
0.11666666666666667,
0.16666666666666666,
0.16666666666666666,
0.023809523809523808,
0.19047619047619047,
0.0833333333333333... | 0.976248 | [
-0.07696660253212281,
-0.008665288497193654,
1.7328328789435186,
2.5695568360897347,
1.2254473946019768,
1.705737647868458,
2.404038137300386,
1.8279587883021167,
2.1169876311748554,
1.3448227710049228,
1.5534736277912355,
0.17846741994338977,
1.6751021163367945,
0.0005305214831847899,
0... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -3.583333333333334,
"target_ratio": 0.97,
"target_value": -3.475833333333334
} | 1 |
184be31d5cef7a0df96adb60f009b8f5 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [42, 26], "expectation_value": -4.496515541748614, "params": null, "bitstrings": ["1010101", "1100101"], "total_optimization_steps": 24, "probabilities": [0.06700896507646317, 0.9297460583128401], "optimization_time": 17.38887858390808} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | 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[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", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5,
0
] | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
b467574a0d251d07c1a6778135962164 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -23.538478826368564, "params": [[[0.0024000000000000002, 3.1599], [0.0018000000000000002, 0.0022], [0.0027, 0.0021000000000000003], [-1.651, 0.003], [0.002, 0.003], [-0.003, 0.0028], [0.0018000000000000002, 0.0024000000000000002], [0.0019, 0.002], [0.0019, 0.002], [0.002, 0... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(2) @ Z(11)) + -2.0 * (Z(2) @ Z(9)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000100000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.01919505552185502) q[0];
ry(0.07395362705587127) q[1];
ry(-0.03679198276667009) q[2];
ry(-1.6334717644385095) q[3];
ry(0.025087865994407335) q[4];
ry(-0.04868630922663076) q[5];
ry(0.07395362705587127) q[6];
ry(0.09699254253279349) q[7];
ry(0.09699254253279349) 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] 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... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIZII",
"IIZIIIIIIZII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972393 | [
0.01919505552185502,
0.07395362705587127,
-0.03679198276667009,
-1.6334717644385095,
0.025087865994407335,
-0.04868630922663076,
0.09699254253279349,
0.06628081179826126,
-0.04419024516910026,
2.9894725423473956,
-0.025389841463862677,
-0.024978328374412082,
0.027765311177632986,
0.0448607... | {
"n_parameters": 15,
"n_qubits": 12,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 4 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | qaoa | {"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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [3, 17], "expectation_value": -2.0696418183073924, "params": [[0.0799], [-0.0868]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.04213081663052179, 0.04256751949957848], "optimization_time": 2.1494524478912354} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (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)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
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];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
5b5a524f49034d7d595f6fc8d4b5a13a | 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": [851, 339], "expectation_value": -70.04035413134102, "params": [0.14730000000000001, -0.4353, 0.1819, -0.4016, 0.7485, 0.183, 1.0058, 0.12090000000000001, 0.5963, 0.28390000000000004, 1.0082, 0.1269, 0.0023, 0.6779000000000001, 1.01, -0.0027, -0.012100000000000001, 0.5979, -0.006900000000000001, -0.4811, 1.0... | 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(3) @ Z(5)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(1) @ Z(7)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(5)) + 8.5 * (Z(0) @ Z(10)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(2)) + 14.0 * Z(5) + 0.5 * Z(4) + 22.5 * Z(3) + 2.0 * Z(2) + 10.0 * Z(7) + -3.5 * Z(1) + -5.0 * Z(8) + -... | 16 | 12 | 2 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.0, "smallest_bitstrings": ["111010101100"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.13249492604368138) q[0];
rz(-0.02277733308508978) q[0];
rx(-0.03573572934410456) q[1];
rz(-0.1775336159800031) q[1];
cx q[1], q[0];
rz(-0.1061933145238931) q[0];
cx q[1], q[0];
rx(0.07852984112692597) q[0];
rz(0.1464537602945537) q[0];
rz(-0.21874475590111223) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIIIZIII",
"ZIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIZIIIIIII",
"IIIIIIIIIIZI",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
14,
0.5,
22.5,
2,
10,
-3.5,
-5,
-5,
-3,
-4,
8,
-16.5
] | 0.971291 | [
-0.13249492604368135,
-0.1289706476089835,
-0.03573572934410456,
-0.1775336159800031,
-0.003983135726185444,
-0.26098545815887286,
1.5560739732946836,
-0.008971868559509197,
0.22713554628247323,
0.17520457263795555,
1.543984430653545,
0.23279898341370628,
-0.044942319321068055,
0.504691809... | {
"n_parameters": 66,
"n_qubits": 12,
"optimal_eigenvalue": -134,
"target_ratio": 0.97,
"target_value": -129.98
} | 17 |
1298655583307517259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 10, 4], [0, 2], [0, 3, 5], [0, 1], [6, 7], [8, 2]]} | {"states": [1147, 1083], "expectation_value": -1.8012361167209003, "params": [1.2978, 1.2981, 0.4041, 0.3844, 0.4824, 0.4979, 0.2746, 0.2409, 0.678, 0.7834, 1.2885, 1.2878, 1.2990000000000002, 1.2919, 1.2972000000000001, 1.2984, 0.27090000000000003, 0.2752, 1.2855, 1.1042, 1.2961, 1.3012000000000001, 1.2802, 0.6761, 0.... | 0.16666666666666666 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.66666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6005393604587137) q[0];
rz(pi/2) q[0];
ry(-0.17065346317250538) q[1];
ry(0.29078672073831996) q[2];
ry(-0.014379162138861475) q[3];
ry(0.05887294764154516) q[4];
ry(1.603438930181213) q[5];
ry(1.8462943116966246) q[6];
ry(1.4231996394322624) q[7];
ry(-0.2798963426... | 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": []} | [
"ZIIIIIIIZII",
"IIIIIZIIZII",
"ZIIIIZIIIII",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIIIIIIZZ",
"IIZZIIIIIII",
"IZIIIIIZIII",
"IIIIIIIIZII",
"ZIIIIIIIIII",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,... | 0.970579 | [
1.6005393604587137,
-0.17065346317250538,
0.29078672073831996,
-0.014379162138861475,
0.05887294764154516,
1.603438930181213,
1.8462943116966246,
1.4231996394322624,
-0.27989634262587965,
1.9768245377685862,
1.232089575769544,
1.0961016023006542,
1.0293263918699735,
1.5178315522419397,
-... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 29 |
3c0665940b168eebba233cb5a1d3af60 | min_cut | adaptive_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}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [129, 1], "expectation_value": -15.999999974556587, "params": null, "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 29, "probabilities": [8.327888961193782e-09, 0.9999999916094662], "optimization_time": 48.08684277534485} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31453006187333216) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.4390477996177715) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4449413417970675) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.31453006187333216) q[3];
cx q[0], q[3];... | null | {"source": 0, "sink": 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];\nry(1.5708) q[9];\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]... | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIIIZI",
"IIZIIIZIII"... | [
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
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2.25,
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-1,
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-1,
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-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
1.5,
-0.5,
-0.5,
1.75,
-1.25,
0.75
] | 0.468186 | [
0.31453006187333216,
0.4390477996177715,
0.4449413417970675,
0.4964713286533322,
-0.243292889150701,
-0.36187186498081264,
-1.5302643724066771,
0.9798077581779856,
-0.30204593626072207,
1.1257244781836306
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 248 |
1186103e935f6770b36dcaf31ab8cdf7 | 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": 4}, {"source": 2, "target": 3}, ... | {"states": [1662, 5758], "expectation_value": -3.494823541457041, "params": [[[0.8657, 0.0038, 0.003, 0.0001], [1.351, -0.0038, 1.0490000000000002, 0.0082], [1.5677, -0.003, 1.5684, 0.0063], [1.5714000000000001, -0.0025, 1.5672000000000001, 0.0092], [1.5866, 0.0028, -1.5805, 0.0067], [0.7615000000000001, -0.001, 0.9844... | 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)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 11 | 13 | 1 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875], "nu... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.0085803528727126) q[0];
rz(-0.24026560563952204) q[0];
rx(1.0374082032569305) q[1];
rz(-0.23035514857546602) q[1];
rx(-0.08570401922231015) q[2];
rz(0.296306019900598) q[2];
rx(0.06592108549781109) q[3];
rz(0.611842747993478) q[3];
rx(0.10561376669133431) q[4];
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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIZZIII",
"IIIIIIIIIZIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIZIIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIIZIZIIZ",
"IIIIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
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,
0.125... | 0.971519 | [
1.0085803528727126,
-0.15242536983545654,
1.0374082032569305,
-0.09769714554756243,
-0.08570401922231013,
0.2869825256750739,
0.06592108549781107,
0.7350957423627515,
0.10561376669133432,
0.2569124181689957,
1.0976565644493625,
0.27993659704287666,
0.4217338145392744,
0.7290723505448091,
... | {
"n_parameters": 57,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
266260d621043cabf37512f90b4b26ac | vertex_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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [70, 86], "expectation_value": -3.103235462642183, "params": [0.4056, -0.0085, 0.4062, 0.0011, 0.3919, -0.18180000000000002, 0.3895, -0.06810000000000001, 0.4017, -0.15860000000000002, 0.40340000000000004, -0.13670000000000002, -0.0125, 0.20750000000000002, -0.016900000000000002, 0.20040000000000002, 0.4041,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | qaoa | {"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": [118, 213], "expectation_value": -0.3136991242434475, "params": [[-0.0763, -0.0651, -0.083], [0.0824, 0.0723, 0.0781]], "bitstrings": ["10001001", "00101010"], "total_optimization_steps": 10, "probabilities": [0.006591356924107449, 0.006591356924107457], "optimization_time": 10.480224370956421} | 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)... | 1 | 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";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | 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": []} | [
"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
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
21dda983a8fde827e386733ca5f6effd | 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": 0, "target": 2}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -67.63313208405647, "params": [[[-0.0025, 1.6043], [0.0021000000000000003, 0.0024000000000000002], [0.0024000000000000002, 0.0019], [0.0019, 0.002], [0.0019, 0.0019], [0.002, 0.0022], [-0.0032, 0.0021000000000000003], [0.0018000000000000002, 0.0025], [0.0021000000000000003, 0... | -4.0 * (Z(0) @ Z(1)) + 1.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(1)) + -3.5 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + -3.0 * (Z(9) @ Z(8)) + 0.5 * (Z(11) @ Z(1)) + -3.0 * (Z(11) @ Z(0)) + -2.0 * (Z(11) @ Z(7)) + 1.0 * (Z(11) @ Z(8)) +... | 15 | 14 | 1 | {"smallest_eigenvalues": [-71.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.49999999999945, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 49.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.07384574547091069) q[0];
ry(-0.03907800386139149) q[1];
ry(-0.0075106031003317995) q[2];
ry(0.011884187899703788) q[3];
ry(0.011884187899703788) q[4];
ry(-0.027115500147461308) q[5];
ry(0.060462106843307245) q[6];
ry(0.006084795694892758) q[7];
ry(-0.039078003861... | 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[14] c;
qubit[14] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZ",
"IIIIIZIIIIIIZI",
"IIIIIZIIIIIIIZ",
"IIIIIZZIIIIIII",
"IIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZ",
"IIIIZIZIIIIIII",
"IIIIZZIIIIIIII",
"IIZIIIIIIIIIZI",
"IIZIIIIIIIIIIZ",
"IIZIIIZIIIIIII",
"IIZIIZIIIIIIII",
"IIZIZIIIIIIIII",
"IIIZIIIIIIIIZI"... | [
-4,
1,
-3,
-3.5,
-3.5,
-3.5,
1.5,
-3.5,
1,
-3,
0.5,
-3,
-2,
1,
0.5,
-3,
1.5,
0.5,
-3.5,
-3,
-3.5,
-3.5,
-3,
-3.5,
-2.5,
1,
-3.5,
1,
1.5,
-3,
-3.5,
1,
-3,
1,
-3,
-3.5,
1,
-3,
1,
-3,
-2.5,
-2,
1,
0.5,
1.5,
1,
0.5,
-2,
0.5,... | 0.977394 | [
-0.07384574547091069,
-0.03907800386139149,
-0.0075106031003317995,
0.011884187899703788,
-0.027115500147461308,
0.060462106843307245,
0.006084795694892758,
-0.14549493081377038,
0.07177635652883492,
2.3575816995871266,
-0.01937493587692763
] | {
"n_parameters": 11,
"n_qubits": 14,
"optimal_eigenvalue": -71.49999999999997,
"target_ratio": 0.97,
"target_value": -69.35499999999998
} | 12 |
dab40a2f654e93a72357d226e03c7017 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -1.9157110161685833, "params": [[-0.0675, -0.07680000000000001, -0.0608, -0.0381], [0.07390000000000001, 0.083, 0.0779, 0.0708]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.03778567919192336, 0.03778567919192339], "optimization_time":... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 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": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [59355, 47085], "expectation_value": -13.145456774421886, "params": [[0.194, 0.7278], [-0.507, -0.19010000000000002]], "bitstrings": ["0001100000100100", "0100100000010010"], "total_optimization_steps": 130, "probabilities": [0.004677260936738339, 0.0046772609367383405], "optimization_time": 50.8266301155090... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.00000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | 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... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"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,
0.5,
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | qaoa | {"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}], "edges": [{"weight": 5, "source": 0, "t... | {"states": [199, 109], "expectation_value": -11.25138525828078, "params": [[0.042], [-0.0727]], "bitstrings": ["00111000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007420873989158465, 0.00832349916235365], "optimization_time": 1.8456358909606934} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.913405650680868) q[0];
rz(-0.020577266484854473) q[0];
rx(2.913405650680868) q[1];
rz(0.018304067849897798) q[1];
rx(-0.037846667829205746) q[2];
rz(0.1102035930599623) q[2];
rx(0.0013998007349523903) q[3];
rz(0.5015043177824037) q[3];
rx(0.2531958520905692) q[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;
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];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
16.5,
7,
11,
5,
16.5,
20,
12,
13.5
] | 0.986362 | [
2.913405650680868,
-0.033119404079733517,
-0.10992226302707359,
-0.03784666782920576,
-0.0270841561830095,
0.0013998007349523903,
0.5423397956466044,
0.2531958520905692,
-0.4835134495306451,
3.0855030048491776,
0.30670917393717884,
3.327040016346024,
0.0788732160694183,
-0.0032392196512411... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 15 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_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": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.996515537770063, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 22, "probabilities": [0.06700898087125177, 0.9297460398076854], "optimization_time": 13.350357294082642} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 38.12942719459534} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | 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(-1.4449) 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",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
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,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
461a504b9826e7d1bfc1c6f1845a3d83 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -4.49639797747896, "params": null, "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 26, "probabilities": [0.0663522959322684, 0.9303266259711162], "optimization_time": 21.19233727455139} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03120252051460415) q[0];
rz(-0.6684701198601921) q[0];
ry(0.47876009748390536) q[1];
rz(0.3409262400185791) q[1];
cx q[1], q[0];
ry(0.14721294990200087) q[0];
rz(-0.45360264503939646) q[0];
ry(0.3435984053258038) q[1];
rz(-0.9384988858791737) q[1];
ry(0.5169658127... | 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[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[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.973389 | [
0.03120252051460415,
-0.6684701198601921,
0.47876009748390536,
0.3409262400185791,
0.5169658127997544,
-0.22069112448161554,
0.06422803559439964,
-0.30958082367571615,
0.31722338761086294,
-0.20828006918348035,
0.020606661659462955,
-0.45125081741926987,
-0.041715055063670695,
0.7212509705... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 164 |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 60.279109477996826} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | null | {"source": 0, "sink": 6} | {"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(1.2796) 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", "... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [19, 18], "expectation_value": -3.9657745471502315, "params": [[[0.5890000000000001, 0.0009000000000000001], [0.1842, 0.1932], [0.18660000000000002, -0.19440000000000002], [0.5835, -0.0018000000000000002], [0.49310000000000004, -0.0414]], [[0.5884, 0.0009000000000000001], [0.189, 0.1932], [0.1893, -0.1945], ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
36ff2850f9ca4956ff6a75a44d9ad0dc | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [6, 81], "expectation_value": -0.7738315227566972, "params": [[-0.0697, -0.0776], [0.0684, 0.0714]], "bitstrings": ["1111001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.01069506114496813, 0.011833870142906036], "optimization_time": 3.293682336807251} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
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];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], 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] 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[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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
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,
-0.5,
-1,
-1
] | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
9e72b7dd0d69a46b7f007aaed5517323 | vertex_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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 21.940990924835205} | 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(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [26026, 21930], "expectation_value": -1.7093497025855344, "params": null, "bitstrings": ["1001101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12417611141593876, 0.2678858578748455], "optimization_time": 876.4290089607239} | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011250000000000001 * (Z(4) @ Z(0)) + 0.00012500000000000003 * (Z(4) @ Z(2)) + -0.0011250000000000001 * (Z(5) @ Z(1)) + 0.00012500000000000003 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0212499999999674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999625, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0119999999998717} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3928669941292584) q[0];
rz(-0.14397745053709302) q[0];
ry(0.0272914074880476) q[1];
ry(0.6126252575880811) q[2];
ry(0.01178704304983049) q[3];
ry(0.8440338268222962) q[4];
ry(0.5646062996366539) q[5];
ry(0.5820144780263184) q[6];
ry(-0.040131764780526206) q[7];
ry... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5947) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0011250000000000001,
0.00012500000000000003,
-0.0011250000000000001,
0.00012500000000000003,
0.25,
-0.0010000000000000002,
-0.0010000000000000002,
0.00012500000000000003,
-0.0010000000000000002,
-0.0010000000000000002,
0.0001... | 0.977706 | [
0.3928669941292584,
0.0272914074880476,
0.6126252575880811,
0.01178704304983049,
0.8440338268222962,
0.5646062996366539,
0.5820144780263184,
-0.040131764780526206,
-0.010281148254005924,
0.6373870539601993,
-0.16168989454588886,
0.5296304800742078,
-0.037295837382054865,
0.4577862531132489... | {
"n_parameters": 186,
"n_qubits": 16,
"optimal_eigenvalue": -2.021249999999955,
"target_ratio": 0.97,
"target_value": -1.9606124999999561
} | 1 |
5423c73a68fe47c6453c3bd130085afd | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [38, 81], "expectation_value": -0.14694077883390577, "params": [[0.0568], [-0.0463]], "bitstrings": ["1011001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.00852381639206284, 0.008524167810566571], "optimization_time": 1.5771782398223877} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(2) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011001", "0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6995043479892381) q[0];
rz(pi/2) q[0];
ry(-0.23839429781499205) q[1];
ry(0.5966957992803607) q[2];
ry(0.08426053220194742) q[3];
ry(0.5413054423366215) q[4];
ry(0.7450327815189158) q[5];
ry(1.1814139885109305) q[6];
ry(-0.25121121976709104) q[7];
ry(0.895114968628... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-1.5,
-1
] | 0.972221 | [
0.6995043479892381,
-0.23839429781499205,
0.5966957992803607,
0.08426053220194742,
0.5413054423366215,
0.7450327815189158,
1.1814139885109305,
-0.25121121976709104,
0.8951149686288359,
0.1316557743308347,
0.7893210335609772,
0.6799996331661162,
0.13655913884539017,
-0.07487179750073304,
... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 18 |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.6167777115424353, "params": [[-0.08460000000000001, -0.0839], [0.07880000000000001, 0.0779]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.04825574422245782, 0.0513941787350419], "optimization_time": 2.0424392223358154} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
a8551c5d5524e01c1ad4c76ea9ceadd6 | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"sour... | {"states": [75, 203], "expectation_value": -3.4768972888943486, "params": [[[-0.011000000000000001, 0.3972], [0.801, 0.003], [0.8045, -0.0017000000000000001], [-0.0149, 0.3906], [0.2883, -0.2566], [0.8013, 0.004], [0.1831, 0.3053], [0.8069000000000001, 0.0028], [0.8082, 0.0026000000000000003]], [[-0.0106, 0.0049], [0.7... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100110100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.48369633519137656) q[0];
ry(0.1706244963099543) q[0];
rz(0.7426357924803617) q[0];
rz(2.3957869768308218) q[1];
ry(2.8320505312224755) q[1];
rz(-0.41268549559966816) q[1];
rz(1.2509292673873293) q[2];
ry(3.0133388547632443) q[2];
rz(-1.880845398481429) q[2];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"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,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.978861 | [
0.23016116106742782,
0.46223235760756143,
1.6351860272361405,
0.23436441284929493,
1.3265964747213337,
-0.04053138947748984,
0.25406039056807195,
-0.28465463453550843,
-0.333637764644099,
-0.3773841138822399,
1.9629719897659004,
0.15603703172283534,
0.18610515134419106,
0.5102933444502773,... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
9756af23cb7c589059b7e2308fee7505 | 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}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [510, 2046], "expectation_value": -11.89784850800036, "params": null, "bitstrings": ["11000000001", "00000000001"], "total_optimization_steps": 100, "probabilities": [0.11803338611500218, 0.3531965911805084], "optimization_time": 221.4750657081604} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + -0.5 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.004981855093243775) q[0];
cx q[1], q[0];
rz(1.3505037402881044) q[0];
rx(-1.5596721625269536) q[0];
rz(1.3505037402881044) q[1];
rx(-1.5596721625269536) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.004981855093243775) q[2];
cx q[3], q... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5681) q[5], q[6];\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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.755596 | [
-0.004981855093243775,
0.009101024545501513,
1.3505037402881042,
-1.5707965179588497,
-1.5596721625269536
] | {
"n_parameters": 5,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 175 |
2d02f35370a8769eaaa03bbd3e88b224 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [14, 30], "expectation_value": -2.005140968480432, "params": [-0.0027, 0.00030000000000000003, 0.0023, 0.001, 0.0027, 0.0099, 1.601, 0.007500000000000001, 1.6042, 0.0033, 1.6117000000000001, 0.0071, 1.6113000000000002, 0.0045000000000000005, 0.9888, 0.0014, 0.0063, 0.0068000000000000005, 0.009300000000000001... | 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(2) @ Z(0) @ Z(3)) + -0.0625 * (Z(2) @ Z(0) @ Z(4)) + -0.0... | 16 | 8 | 1 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["11100001"], "largest_eigenvalue": 5.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.028724036569921858) q[0];
cx q[2], q[0];
rz(1.2326671886736946) q[0];
rx(-1.6076612753279809) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.028724036569921858) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.028724036569921858) 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIZIIZIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZZII",
"IIZIZZII",
"IIZZIZII",
"IIZZZIII",
"IIIZZZIZ",
"IIZIZZIZ",
"IIZZIZI... | [
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,
0.25,
0.25... | 0.971132 | [
0.028724036569921858,
-1.5782905238710299,
1.2326671886736946,
-1.3850374293024992,
-4.44702294793995,
-1.6076612753279809
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 31 |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [40, 41], "expectation_value": -3.019782885236054, "params": [0.8058000000000001, 0.012700000000000001, 0.17980000000000002, 0.5061, 0.8028000000000001, 0.2791, -0.0089, 0.45570000000000005, -0.013900000000000001, 0.5021, 0.7998000000000001, 0.24500000000000002, 0.8017000000000001, 0.0047, 0.1794, 0.0016, 0.... | 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(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 3 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
348c13052b9cd507aa792296e385f0a4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -6.639568028578885, "params": [0.0039000000000000003, 0.1595, 0.0059, 0.19360000000000002, 0.0068000000000000005, 0.23900000000000002, 0.0048000000000000004, 0.2841, 0.0049, 0.2525, -0.0002, 0.2922, 0.40180000000000005, 0.0082, -0.0041, 0.2645, 0.0009000000000000001, 0.2851, -0.0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
be7e2cb61602e2e9b2101189bb676973 | min_cut | adaptive_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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1022, 479], "expectation_value": -16.31569087164393, "params": null, "bitstrings": ["0000000001", "1000100000"], "total_optimization_steps": 100, "probabilities": [0.1214855732138148, 0.8314794565090576], "optimization_time": 272.1784245967865} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.393808986005866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.393808986005866) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21762855179405002) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5789097935492629) q[3];
cx q[1], q[3]... | null | {"source": 0, "sink": 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[0], q[9];\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] = meas... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII"... | [
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.5,
2,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-1.25,
0,
0.5,
0.75,
0.5,
-1.25,
1.5
] | 0.465704 | [
-0.393808986005866,
-0.21762855179405002,
-0.420273716133752,
-0.5789097935492629,
0.6353545988654291,
-0.614667344806954,
-0.04122487701570831,
0.11308869142835831,
0.12934103164207297,
0.35391712738102515,
-0.9529131195112988
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 253 |
bce5ca5986693901af184e18507446b4 | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.740153990343664, "params": [0.0022, 0.3325, 0.0036000000000000003, 0.3336, 0.0025, -0.4334, 0.0051, -0.3633, 0.0007, -0.4171, 0.0026000000000000003, 0.4617, 0.4555, -0.0989, 0.6074, 0.0044, 0.0078000000000000005, 0.3498, 0.0004, 0.4178, 0.0025, -0.4369, 0.0021000000000000003,... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 3 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) q[4];
cx... | 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": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
86f7cf811774c9dc1f8ac7ebefafd51c | 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": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.054770037003303004, "params": [[-0.052700000000000004], [0.0659]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.01670464169191858, 0.01671414721616886], "optimization_time": 0.8938498497009277} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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;
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(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -2.640432316285178, "params": [[-0.066, -0.0688, -0.0776, -0.08360000000000001], [0.07060000000000001, 0.0665, 0.0699, 0.07390000000000001]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.08911999905495926, 0.1006763650561535], "optimizat... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
e8fdec38f32f10530d269f6547919d57 | 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": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [36, 26], "expectation_value": -0.35910929068861697, "params": [[0.0698, 0.0649], [-0.056400000000000006, -0.0506]], "bitstrings": ["011011", "100101"], "total_optimization_steps": 10, "probabilities": [0.01911324574698797, 0.019876608103747966], "optimization_time": 2.738887071609497} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
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;
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];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
eedfffae46889ceabb09be93decddfde | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 161.472674369812} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | null | {"matching": "near_perfect", "extra": "{\"n\": 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];\nry(9.9081) 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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | 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": [0, 1], "expectation_value": -5.3147872513092835, "params": [[[-0.004200000000000001, 0.22210000000000002], [0.0011, 0.3161], [0.0015, 0.318], [0.0043, 0.3114], [0.4057, 0.0031000000000000003]], [[-0.0016, 0.24330000000000002], [0.006, 0.29410000000000003], [0.004, 0.3138], [-0.0005, 0.3012], [0.4048, 0.0031... | -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 | 4 | {"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";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | 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": 4} | {"circuits": [], "gradients": []} | [
"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
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
d78a0427a92936b02a891a265f8e1164 | 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": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [769, 801], "expectation_value": -3.6375833292734625, "params": [0.8066, 0.81, 0.7997000000000001, 0.8018000000000001, 0.18430000000000002, 0.1728, 0.5790000000000001, 0.3683, 0.8084, 0.8108000000000001, 0.1759, 0.1723, 0.2179, 0.22540000000000002, -0.0155, -0.0173, -0.0123, -0.016300000000000002, 0.8084, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -4.5, "smallest_bitstrings": ["1111000101", "1111000110", "0111010110", "0111010101", "0101010111", "0011011110", "0001011111", "0100111011",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6389063944008957) q[0];
rz(pi/2) q[0];
ry(0.9222927333718351) q[1];
ry(-0.42232843273339615) q[2];
ry(0.4129043404707692) q[3];
ry(1.840287765000057) q[4];
ry(0.26145410688655935) q[5];
ry(-0.030556275970104185) q[6];
ry(-0.08896810363095689) q[7];
ry(-0.018218640... | 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": []} | [
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIIZZIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
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,
0,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5
] | 0.976219 | [
1.6389063944008957,
0.9222927333718351,
-0.42232843273339615,
0.4129043404707692,
1.840287765000057,
0.26145410688655935,
-0.030556275970104185,
-0.08896810363095689,
-0.018218640705692526,
1.0039946156712416,
-0.5292716216223071,
-1.1138254372089391,
0.10170632216559605,
0.011744452375808... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
4b2b5ba04f490b1a55b5e14f626537a5 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -5.496464084735464, "params": null, "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 27, "probabilities": [0.06634840432148624, 0.9303662506151494], "optimization_time": 21.15513300895691} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6070261127721035) q[0];
h q[1];
ry(-1.551331179186838) q[1];
h q[2];
cx q[2], q[0];
ry(0.6070261127721035) q[0];
cx q[2], q[0];
ry(-0.6149725597461607) q[0];
ry(0.9885050351854432) q[2];
h q[3];
ry(1.495667010488557) q[3];
h q[4];
ry(1.495667010488557) q[4... | 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",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
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,
-1.5,
-1.5,
-1,
0
] | 0.998608 | [
-1.551331179186838,
-1.584904635171181,
1.495667010488557,
-1.214052225544207,
0.7319726548460825,
-0.3768706356320442,
0.5130647606787211,
-0.4762038482282329,
0.35645834763980605,
-0.17531532782789122,
0.19033161818229352,
0.18406705281432265,
0.0246127673755438,
0.0846861305640349
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
abfc65dd279c9be0771666a7af1df613 | 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}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [17, 1], "expectation_value": -0.3846362962642201, "params": [[0.038700000000000005], [-0.037700000000000004]], "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011661270760063602, 0.0012074065058825332], "optimization_time": 3.4953174591064453} | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1260106905375708) q[0];
rz(1.2269505887297782) q[0];
rx(-0.032781407794859226) q[1];
rz(1.4555254797270045) q[1];
rx(0.09002791400272736) q[2];
rz(1.7416567657170106) q[2];
rx(0.09002791400272736) q[3];
rz(1.562394217848576) q[3];
rx(-0.05076418060284001) q[4];
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] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IZIIZIIIII"... | [
-1,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-2,
-0.75,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
2.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-2.25,
-0.25,
-0.25,
-1.5,
-2.25,
0,
1.5,
1.75,
2,
1.25
] | 0.97766 | [
0.12601069053757077,
-0.343845738065118,
-0.032781407794859226,
-0.11527084706789281,
0.09002791400272736,
0.17086043892211386,
-0.00840210894632093,
-0.05076418060284002,
-0.050512163613706695,
-0.10793377348105372,
-0.45013316931256986,
-0.1058275480754595,
-0.1358604643187617,
0.0609342... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [39, 37], "expectation_value": -1.611456057412155, "params": [2.8496, 0.0036000000000000003, -0.0026000000000000003, 0.007, -0.0028, 0.0067, 2.8483, 0.0021000000000000003, 1.5306000000000002, 0.0032, 1.7909000000000002, 0.0057, 0.0044, 0.0099, 0.001, 0.0021000000000000003, 0.0016, 0.006500000000000001], "bit... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx 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]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
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,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [213, 199], "expectation_value": -0.39131719621337524, "params": [[0.0636, 0.0711, 0.0762, 0.0766], [-0.0296, -0.0524, -0.0675, -0.0719]], "bitstrings": ["00101010", "00111000"], "total_optimization_steps": 10, "probabilities": [0.007532557576809011, 0.0075325575768090125], "optimization_time": 16.3242020606... | 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(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
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,
0.25,
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,
0.125,
0,
0.125,
-0.125,
0.12... | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
bfcc016c6d32554855d911056b5152b6 | min_cut | adaptive_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": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 70.65788793563843} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | null | {"source": 0, "sink": 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];\nry(-0.4397) q[6];\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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
07dc38d1dc363182151755eeee21e61e | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [0, 127], "expectation_value": -1.496535078955524, "params": [[0.0256, 0.0688, 0.0286], [0.0008, -0.057600000000000005, -0.038]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007687674080808568, 0.008002490907119712], "optimization_time": 5.099806785583496} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
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 q[1], q[0];
rx(-5.135206862499014e-07) q[0];
h q[0];
rx(-1.0866163553076218e-07) q[1];
h q[1];
rx(0.0194805872738... | 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": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.25,
-1.5,
-1,
-1.25,
1.75,
-0.75,
-2.25,
-1,
-1.25,
0.5,
-0.25,
0,
1.5,
-0.25,
0,
-1.5,
0
] | 0.195652 | [
-5.135206862499014e-7,
-1.0866163553076218e-7,
0.019480587273897846,
0.977683709348563,
0.8263827168396609,
-0.12240171832566504,
-7.337275034990325e-8,
3.936838968556609e-7,
-1.8852554131208358e-7,
-0.019480723463502873,
-0.12064363564363532,
-0.20277298075242142,
0.12240156398596434,
-3.... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
1dc00844db3f5364ba0548845dd55331 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [0, 508], "expectation_value": -9.226688265838655, "params": [-0.0424, 0.2898, -0.5854, 0.0004, 0.5903, 0.1971, -0.7321000000000001, 0.0006000000000000001, -0.8782000000000001, 0.17550000000000002, 0.3048, 0.0038, -0.8706, 0.3249, 0.24450000000000002, 0.0063, -0.7948000000000001, 0.5069, 0.2351, 0.0032, -0.6... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2539625485804333) q[0];
cx q[1], q[0];
rz(-0.13187173180135625) q[0];
rx(-0.9136245479395309) q[0];
rz(-0.13187173180135625) q[1];
rx(-0.9136245479395309) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8312615402865341) q[2];
cx q[3], 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[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.543408 | [
-1.2539625485804333,
-0.8312615402865341,
-0.7658704417610142,
-0.131871731801356,
-1.3119076260043678,
-0.7778251211493062,
-0.9136245479395309
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 215 |
6912218945619950979 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 2, 6, 8], [2, 5, 6], [0, 2, 3, 5, 8], [8, 1, 4, 6], [0, 1, 3, 6, 8], [4, 5, 7]]} | {"states": [285, 317], "expectation_value": -1.9922319327363602, "params": null, "bitstrings": ["011100010", "011000010"], "total_optimization_steps": 45, "probabilities": [0.4822063219380015, 0.4837779655299228], "optimization_time": 79.24225902557373} | 0.5 * (Z(1) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.183333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.016666666666667, -2.016666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0166666666666657, "smallest_bitstrings": ["011100010", "011000010"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.6470712959526496e-05) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(1.5801047334568938e-07) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-1.5453010223985333e-07) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(4.427711966587... | 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(1.438) q[6];\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... | [
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIIIZZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.5,
0.05,
0.1,
0.21666666666666667,
0.05,
0.1,
0.16666666666666666,
0.18333333333333335,
0.1,
0.21666666666666667,
0.05,
0.18333333333333335,
0.15000000000000002,
0.1,
0.18333333333333335,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.16666666666666666,
0.08333333333333333,
0.08... | 0.920371 | [
0.000016470712959526496,
1.5801047334568938e-7,
-1.5453010223985333e-7,
4.4277119665870315e-7,
-0.07252484524177218,
-0.0000011281178762703715,
-3.1415925961361846,
-0.0000257750659382102,
1.5715898091785543,
-1.5707963639758278,
1.5707962786247716,
-1.5707961672023263,
-1.5702532701286862,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -2.016666666666667,
"target_ratio": 0.97,
"target_value": -1.956166666666667
} | 398 |
4286d838a0864c608421aefd7c0a8694 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -3.2619197488279528, "params": [[0.0359, 0.054900000000000004, 0.044000000000000004, 0.056600000000000004], [-0.0182, -0.046700000000000005, -0.0378, -0.0497]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011810740075675372, 0.01192... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
5721bc29b750ff2e0c5d4fb6d5e7d30b | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [7, 31], "expectation_value": -13.39289744329475, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 72, "probabilities": [0.1623943178672501, 0.48611076734459474], "optimization_time": 65.91667795181274} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.05898088205563733) q[0];
rz(-0.11516861982324494) q[0];
ry(-0.11516861982324494) q[1];
rz(-0.0014218957630719592) q[1];
cx q[1], q[0];
ry(0.03363785873728879) q[1];
rz(0.12232056754132889) q[1];
ry(0.03363785873728879) q[2];
rz(1.340588803478647) q[2];
ry(-0.05898... | null | {"node": 3} | {"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(-1.5708) 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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
-2,
-2,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975423 | [
-0.05898088205563733,
-0.11516861982324494,
-0.0014218957630719592,
0.03363785873728879,
1.340588803478647,
0.5140510440946262,
1.6881156119275331,
-0.07432694386371438,
1.1423508360410763,
0.11537448107570408,
0.280001861598485,
2.5617041670342586,
0.10075285320723114,
0.12232056754132889... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 10 |
7045b11d9eb140d2e8e06a7ee0e1d0cd | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3414, 3415], "expectation_value": -2.5037681209715044, "params": [[[0.2833, 0.0033], [0.7893, 0.0048000000000000004], [0.0128, -0.0002], [0.6812, 0.0264], [0.1683, 0.026600000000000002], [0.6359, 0.049800000000000004], [0.2773, 0.0512], [0.7838, 0.1346], [0.0907, 0.26230000000000003], [0.31720000000000004, ... | 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(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(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-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, -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, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -2.5, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.798431979915152) q[0];
rz(-0.17275331495276713) q[0];
rx(1.3666548082043841) q[1];
rz(-0.31277238259750534) q[1];
cx q[1], q[0];
rz(0.08864831119230795) q[0];
cx q[1], q[0];
rx(0.8659713299684549) q[0];
rz(0.024715793281333553) q[0];
rz(0.21586385189252139) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.976346 | [
0.798431979915152,
-0.08410500376045883,
1.3666548082043841,
-0.31277238259750534,
-0.01681220261025767,
0.24468889229174143,
0.864024809545449,
0.2698839902591586,
0.8626935579031989,
-0.19525182705494754,
0.9085917211537792,
0.29292665515296057,
0.1148664652370519,
-0.5203810048903249,
... | {
"n_parameters": 100,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 26 |
67af624551620c14b190ca5216efe361 | 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": [325, 327], "expectation_value": -102.51545243755726, "params": [[0.0025, -0.15560000000000002, 0.7281000000000001, 0.0015, 0.6597000000000001, -0.0378, -0.011600000000000001, 0.0025, 0.8334, -0.0664, 0.7465], [0.0031000000000000003, 0.0492, 0.6514, 0.0024000000000000002, 0.6657000000000001, -0.0282000000000... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + -7.5 * Z(0) + 5.0 * Z(1) + 6.5 * Z(4) + -5.5 * Z(3) + 1.5 * Z(5) + 2.0 * Z(8) + -5.5 * Z(6) + 6.5 * Z(9) + 9.5 * Z(10) + -15.0 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010111000"], "largest_eigenvalue": 108.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6807769926051515) q[0];
ry(-1.5621449685831994) q[1];
ry(1.6120456427004168) q[2];
ry(1.489254443925718) q[3];
ry(1.533547108869742) q[4];
ry(1.5717426855668417) q[5];
ry(-1.5927828867151737) q[6];
ry(-1.5108112356287975) q[7];
ry(1.6417989505408177) q[8];
ry(1.55... | 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": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"ZIIIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
9.5,
-7.5,
5,
6.5,
-5.5,
1.5,
2,
-5.5,
6.5,
9.5,
-15
] | 0.978813 | [
1.6807769926051515,
-1.5621449685831994,
1.6120456427004168,
1.489254443925718,
1.533547108869742,
1.5717426855668417,
-1.5927828867151737,
-1.5108112356287975,
1.6417989505408177,
1.555862953039029,
1.5474624109356039,
1.5154864591888388,
1.697610115383342,
1.4569847675986636,
1.6220283... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 99 |
d718199120caa09970ec0112edaecdf9 | kclique | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -23.45489737228563, "params": [[[0.2038, -0.2947], [0.1797, -0.32630000000000003], [0.1822, -0.3257], [0.6042000000000001, 0.0056], [0.2054, -0.2987], [0.8035, 0.0036000000000000003], [0.7994, 0.0031000000000000003]], [[0.1975, 0.007], [0.1751, 0.007200000000000001], [0.1809, 0.0... | 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... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04015044538224883) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04015044538224883) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04015044538224883) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04015044538224883) q[3];
cx 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[... | {"k": 5} | {"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... | [
2.75,
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,
-10.25,
-10,
-10.25,
-10,
-10,
-9.25,
-9.25
] | 0.978301 | [
-0.04015044538224883,
-0.15324628777449456,
-1.689169402787427,
-1.6217749557604155,
1.3668630378637412,
-1.508421696431749
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 23 |
9209c3ac658691a9491f8793700384e3 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [35, 99], "expectation_value": -5.082155581825221, "params": [0.0071, 1.0472000000000001, 0.8981, 0.598, 1.5855000000000001, 0.0022, -0.0032, 0.9692000000000001, 0.00030000000000000003, 0.9562, 0.003, 1.0908, 1.5812000000000002, 0.1446, 1.5795000000000001, -0.0027, -0.0002, 0.0085, 0.8389000000000001, 0.0005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01000111", "10011100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.026223332554140714) q[0];
rz(1.7328655726278583) q[0];
rx(1.2498475366549124) q[1];
rz(0.6610541524687537) q[1];
rx(1.585930179323666) q[2];
rz(-0.5061676111277458) q[2];
rx(0.023830356525316457) q[3];
rz(0.3668460498231587) q[3];
rx(-0.0286600195047271) q[4];
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",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIZIII",
"IIZZIIII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
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,
-1,
-1.5,
-1,
-1.5,
0,
-0.5
] | 0.972003 | [
-0.026223332554140714,
1.1411864851955917,
1.2498475366549124,
0.7633107110270243,
1.585930179323666,
0.032001400711055374,
0.023830356525316454,
0.7568305327057374,
-0.0286600195047271,
0.731954296941201,
0.031020832454222394,
1.1452462677032935,
1.465938029315051,
0.3689324551373475,
1... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [43, 11], "expectation_value": -2.7145131846887915, "params": [[-0.058300000000000005, -0.0664, -0.06720000000000001], [0.0724, 0.07440000000000001, 0.0693]], "bitstrings": ["1010100", "1110100"], "total_optimization_steps": 10, "probabilities": [0.022336841717208518, 0.028327890851137915], "optimization_tim... | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
cx... | 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": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [111, 110], "expectation_value": -1.5532833853870682, "params": [-0.0022, 0.0041, -0.0021000000000000003, 0.0098, 1.7115, 0.0014, 1.7107, 0.0008, 1.4783000000000002, 0.0016, 1.7032, 0.0074, 1.7047, 0.0081, 1.7085000000000001, 0.0094, 1.4809, 0.008, 0.0032, 0.0035, 0.004, 0.0041, 0.001, 0.005200000000000001, ... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(2) @ Z(0) @ Z(5)) + -0.125 * (Z(2) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["110010001", "111000001", "110010010", "110011000", "110100001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8499915884053235) q[0];
rz(-0.14349891772228895) q[0];
rx(1.203877261600702) q[1];
rz(0.2150393365018637) q[1];
rx(1.040609558335803) q[2];
rz(-0.08177450222485838) q[2];
rx(0.01954086942686225) q[3];
rz(0.23127635564330884) q[3];
rx(0.1434676212007759) 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] 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": []} | [
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIIZIZ",
"IIZIIIZIZ",
"IIZZIIIIZ",
"IIZZIIZII",
"IIZZIIZIZ",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIZIZI",
"IZIZIIIII",
"ZIIZIIIII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.75,
0.125,
0,
0,
0.125,
0.125,
0,
0
] | 0.97165 | [
0.8499915884053235,
-0.16699737334558484,
1.2038772616007019,
0.21966274366901276,
1.0406095583358033,
-0.045300346746162776,
0.01954086942686225,
0.36689790091452473,
0.1434676212007759,
0.1777136368610626,
0.8738761575694459,
0.17950440151432287,
-0.01685254030077451,
0.4415997003909127,... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
671c396aae273a05cf298c7a33ad868e | 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}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -13.364400338961318, "params": [-0.0051, 0.14550000000000002, -0.0001, 0.18530000000000002, -0.0009000000000000001, 0.22460000000000002, -0.0032, 0.2157, 0.3054, 0.00030000000000000003, 0.2995, -0.0004, 0.0005, 0.1734, -0.0022, 0.19410000000000002, -0.0021000000000000003, 0.194... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.75 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(9)) + 1.25 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000", "11011111111", "11011110111"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.17662807827705873) q[0];
rz(1.629783393347644) q[0];
rx(0.1197371591323107) q[1];
rz(1.9282211313260715) q[1];
rx(0.4024133765229088) q[2];
rz(1.7143826204916133) q[2];
rx(-0.03008124232106423) q[3];
rz(1.8788251697318454) q[3];
rx(-0.027857088686584902) q[4];
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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IZIIIIIZIII",
"IZIIIIIIIZI",
"ZIIIIIIZIII",
"ZIIIIIZIIII",
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIIIII... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
0.5,
-0.25,
-0.5,
-0.5,
0,
... | 0.973676 | [
-0.17662807827705873,
0.058987066552748484,
0.11973715913231071,
0.35742480453117464,
0.4024133765229088,
0.14358629369671672,
-0.030081242321064232,
0.3080288429369488,
-0.027857088686584902,
0.14682231087471612,
-0.031709002826474014,
0.03733080143996299,
0.11529252315748141,
0.275760632... | {
"n_parameters": 132,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 13 |
5dfaa2cf04f4d47012ad430d1038cf60 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [14, 142], "expectation_value": -4.143847906337284, "params": [[[-0.0235, 0.4529, 0.0015, 0.0027], [0.8007000000000001, -0.43810000000000004, 0.3951, 0.0378], [0.1721, 0.1458, 0.1355, 0.23800000000000002], [-0.0235, -0.44970000000000004, -0.013800000000000002, 0.6329], [0.0579, 0.4939, 0.0565, 0.331900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(7) + ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100001", "110101001", "101110001", "100111001", "010101011", "011100011", "010101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07184855666620811) q[0];
rz(0.23294098410336894) q[0];
ry(1.7098223775490131) q[1];
rz(-0.3683733554557917) q[1];
cx q[1], q[0];
ry(0.08864309779997201) q[0];
rz(0.02511523851605542) q[0];
ry(0.12297839648979264) q[1];
rz(-0.28293588742547154) q[1];
ry(0.5248493537... | 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": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IZIIIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
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,
-1.5,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.973399 | [
0.07184855666620811,
0.23294098410336894,
1.7098223775490131,
-0.3683733554557917,
0.52484935375603,
0.18032331646356664,
-1.0122145954133774,
0.24972973256812392,
0.7235265632831973,
-0.10475200022774388,
-0.4870192180802684,
-0.1879741399423041,
0.23221301754408835,
0.05669497460313763,
... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 52 |
5599bf10ca71927ac876cacb8b12fa55 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 22], "expectation_value": -6.499899780513089, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 32, "probabilities": [1.71240040087968e-05, 0.99994995827528], "optimization_time": 37.839075326919556} | 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 | 4 | {"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";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07415269114269459) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.07415269114269459) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07415269114269459) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07415269114269459) q[3];
cx q[0], q[3]... | 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[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[6] = measure q[6];\n", ... | [
"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
] | 0.864887 | [
0.07415269114269459,
-1.68604805643772,
-1.8099461218403394,
1.443016048934571,
-1.494512272491701,
1.4645976572003123,
1.0927469485153785,
-0.47320607514433677,
-0.9787306474297965,
-0.2023439996070792,
-0.827568241380443,
-1.2321072303008926,
-0.5239782363821548,
-2.223436606296981,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -18.173126312085227, "params": [[-0.041100000000000005, -0.013000000000000001, -0.0193], [0.06770000000000001, 0.0555, 0.0592]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.018072945811377073, 0.019525728357167586], "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(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) q[0];
h ... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
2.5,
16.5,
4.5,
15,
8,
9.5,
10
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
d9f0605187ee6304573374b82b125ec4 | 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": [598, 597], "expectation_value": -101.13287555946454, "params": [[[1.5685, 0.013000000000000001], [0.0813, 0.0086], [0.0031000000000000003, 0.0022], [1.5687, 0.8912], [0.0024000000000000002, 0.8861], [0.7723, 0.5985], [0.0027, 1.365], [0.0019, 1.5694000000000001], [2.5048, 2.4553000000000003], [1.5729, 1.568... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 6.0 * Z(0) + 9.0 * Z(1) + 16.5 * Z(3) + -6.5 * Z(2) + 2.5 * Z(4) + 14.5 * Z(5)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["0110101010"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5614028679969747) q[0];
ry(0.057627517232678026) q[1];
ry(-0.015860339852231904) q[2];
ry(1.5320865376669328) q[3];
ry(-0.018472145851654347) q[4];
ry(0.5678846920828353) q[5];
ry(0.16530669863201725) q[6];
ry(0.052290598922550086) q[7];
ry(2.3315703602354514) q[8... | 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6,
9,
16.5,
-6.5,
2.5,
14.5,
14,
-2.5,
0.5,
9.5
] | 0.976261 | [
1.5614028679969747,
0.057627517232678026,
-0.015860339852231904,
1.5320865376669328,
-0.018472145851654347,
0.5678846920828353,
0.16530669863201725,
0.052290598922550086,
2.3315703602354514,
1.508578608453445,
0.0328999281076611,
0.06635439614053255,
-0.07127642347587483,
0.677142354205525... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 45 |
230a85f7f557e91b9fb34d72d2b743c5 | 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": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.0007565866757473644, "params": [[0.0007], [-0.0026000000000000003]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.001953777699054922, 0.0019537925221355164], "optimization_time": 27.09930109977722} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(5)) + -1.75 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -1.75 * (Z(2) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0065241278212170555) q[0];
ry(0.03645903268642048) q[1];
ry(0.005339254899856719) q[2];
ry(-0.09631638148351859) q[3];
ry(-0.005762441877164489) q[4];
ry(-0.005762441877164489) q[5];
ry(0.011886577613864099) q[6];
ry(-0.03775055591649721) q[7];
ry(-1.2792160183168... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"... | [
-1,
-1.25,
-0.25,
-0.5,
-1,
-0.5,
-1,
-1.75,
-2,
-1.25,
-1.75,
-1.75,
-0.75,
-2,
-1,
-1.5,
2,
-1.25,
-0.75,
-0.75,
-1,
-0.75,
-2,
-0.25,
-2.25,
-1.25,
3,
2.75,
0.5,
0,
-0.5
] | 0.97042 | [
-0.0065241278212170555,
0.03645903268642048,
0.005339254899856719,
-0.09631638148351859,
-0.005762441877164489,
0.011886577613864099,
-0.03775055591649721,
-1.279216018316887,
-0.6816103586721924,
-0.010733026496808323,
0.026301698357844263,
0.004910683737043214,
0.1250558029185784,
0.4505... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 21 |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 10.493372201919556} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | null | {"source": 0, "sink": 6} | {"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[6];\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",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [62, 11], "expectation_value": -2.897677674430096, "params": [[-0.16140000000000002, -0.1694, -0.1728], [0.1708, 0.17470000000000002, 0.1754]], "bitstrings": ["000001", "110100"], "total_optimization_steps": 20, "probabilities": [0.07920128597191167, 0.13038575848129616], "optimization_time": 4.7791528701782... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 20.850770711898804} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | 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];\ncry(1.57) q[1], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
789dcdf1b19b10fa7d0f03ecbcdffd18 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"sour... | {"states": [405, 389], "expectation_value": -7.148158658231787, "params": [0.3981, 0.4011, 0.4058, 0.4077, -0.008, -0.0009000000000000001, -0.0027, -0.0044, 0.3911, 0.3896, -0.0076, -0.011600000000000001, 0.40700000000000003, 0.4086, 0.0431, 0.030000000000000002, 0.39880000000000004, 0.39740000000000003, 0.398300000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["101100011", "001111100", "101101010", "001111010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10677429570275335) q[0];
rz(pi/2) q[0];
ry(1.1923432676769599) q[1];
ry(0.2586559742925933) q[2];
ry(0.3465270848705121) q[3];
ry(0.6400673643072001) q[4];
ry(0.13433393893580114) q[5];
ry(0.8776171873519713) q[6];
ry(0.3229203607245897) q[7];
ry(0.937719441818191... | 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",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
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,
-3,
-1.5,
-3,
-1,
-2,
-0.5,
-1,
-1.5,
-1
] | 0.973693 | [
-0.10677429570275335,
1.1923432676769599,
0.2586559742925933,
0.3465270848705121,
0.6400673643072001,
0.13433393893580114,
0.8776171873519713,
0.3229203607245897,
0.9377194418181916,
0.1669691391652823,
0.31395345923966644,
-0.5497032554670479,
0.0923163938368104,
-0.33181523166841703,
0... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 29 |
45466ddcbcd55abeab47b3eb1e9b72c1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 7},... | {"states": [0, 1920], "expectation_value": -27.064214645865444, "params": [[[0.0023, 0.0049], [-0.0027, 0.0007], [0.0019, 0.0019], [1.603, 0.0024000000000000002], [0.0016, 0.006900000000000001], [0.0022, 0.0024000000000000002], [0.0022, 0.004], [-0.0027, 0.0037], [0.0026000000000000003, 0.0007], [0.0027, 0.0023], [0.00... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + -3.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 *... | 2 | 11 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["00001111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.21417336565297) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.17889757525833214) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.17889757525833216) q[2];
rx(0.9728210493312652) q[2];
rz(0.7555693597465634) q[3];
cx q[0], q[3];
cx... | 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... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IZIZIIIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IIZIZIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-3,
-3,
0.5,
1,
0.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-4,
1,
1,
-3,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
1,
-2.5,
-2,
-2.5,
0.5
] | 0.535263 | [
1.21417336565297,
0.17889757525833214,
0.7555693597465634,
0.5433957968185804,
0.18567321106659226,
0.6882737523828097,
0.40544734367445295,
0.3045757675445242,
0.9728210493312651
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 222 |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [92, 108], "expectation_value": -1.5592739958321145, "params": [[-0.07200000000000001, -0.0563, -0.0838], [0.07730000000000001, 0.0599, 0.0727]], "bitstrings": ["0100011", "0010011"], "total_optimization_steps": 10, "probabilities": [0.015672660182931234, 0.015672660182931234], "optimization_time": 4.7813415... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3552108084077015) q[0];
h q[1];
ry(-0.4874831096631151) q[1];
h q[2];
cx q[2], q[1];
ry(0.4874831096631151) q[1];
cx q[2], q[1];
ry(-0.6397925592762816) q[1];
ry(0.8278733011707379) q[2];
cx q[0], q[2];
ry(-0.22688363096049208) q[2];
cx q[0], q[2];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"ZIZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
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,
-2.5,
-1,
-1,
-0.5,
0
] | 0.994807 | [
-1.6429228358157495,
1.3552108084077015,
-0.9749662193262302,
0.6009896702102457,
-0.44532252176755166,
0.45376726192098416,
-0.3889400750174599,
0.24808446137787232,
-0.1650064356971122,
0.0761369428508101,
0.16875073918238181,
0.062165518547061156,
0.21555729404213014,
0.0369350501633928... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
475b2f0a232bb0d3ab64793dc24452cb | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1757, 1753], "expectation_value": -1.4648558101782037, "params": [0.5017, 0.5072, 0.49150000000000005, 0.4927, 0.2559, 0.2484, 0.5018, 0.4959, 0.49470000000000003, 0.4943, 0.003, -0.0045000000000000005, 0.5054000000000001, 0.5003000000000001, 0.5029, 0.49910000000000004, 0.2864, 0.2848, 0.2594, 0.265, 0.502... | 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)) + 0.0625 * (... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01000110010", "00100101100", "10000100110", "00110100100", "00010100110", "01100100001", "00101100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.141203751720873) q[0];
rz(0.09974369464535335) q[0];
ry(0.015768995776254083) q[1];
rz(0.44914816173938016) q[1];
cz q[1], q[0];
ry(0.5410146253572999) q[0];
rz(-0.19742549213463792) q[0];
ry(0.12366692714844989) q[1];
ry(-0.016500857305919166) q[2];
rz(0.10374467... | 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",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIII... | [
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,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.97721 | [
1.141203751720873,
0.09974369464535335,
0.015768995776254083,
0.44914816173938016,
-0.016500857305919166,
0.10374467845304794,
-0.1481527973051474,
0.6300814671890728,
1.328520900525819,
0.1895073173007843,
0.01232531009892275,
0.6650802867782362,
1.1343582893231279,
0.0028847169183136567,... | {
"n_parameters": 90,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 75 |
fc004364023d9de40312a47332ff3203 | 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": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [20, 34], "expectation_value": -1.1736266298389495, "params": [[-0.068, -0.0618, -0.0333], [0.0722, 0.0748, 0.0669]], "bitstrings": ["101011", "011101"], "total_optimization_steps": 10, "probabilities": [0.024710054069435935, 0.026357798841035444], "optimization_time": 5.632198810577393} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 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(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx 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] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 19.86026382446289} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | null | {"source": 0, "sink": 6} | {"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];\ncry(-1.5681) q[6], 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... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
37b183b4dc70145272a31a80cccd7f15 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [127, 125], "expectation_value": -2.732105270858093, "params": [[0.0572, 0.07300000000000001, 0.0741], [-0.0263, -0.059500000000000004, -0.0606]], "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 10, "probabilities": [0.011881644187975328, 0.01228013679888364], "optimization_time": 4.91217... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.11174149834812648) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.5516557895705306) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.317004216547579) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.04186691593615... | 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": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-2,
-1,
-1,
-1.25,
-2.25,
-1.25,
1.5,
0.75,
-0.25,
0,
0.75,
-2.5,
-0.5,
1.5,
0.25
] | 0.845041 | [
-0.11174149834812648,
0.04186691593615775,
-0.5516557895705306,
-0.6331641652637868,
-0.317004216547579,
-0.2894627742225626,
-0.5891981736167695,
0.1701236134999354,
0.13608382337417127,
-0.24570874744628493,
-0.0015216716957055067,
0.8217944700284973,
-1.232959284409201,
-0.2646386024022... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 489 |
3be62d904e3c491ed9eeb750b53bffe0 | matching | adaptive_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}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [117, 109], "expectation_value": -33.31100559704856, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12248358700896955, 0.148783055868588], "optimization_time": 168.03188848495483} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21168570971743653) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.21168570971743653) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21168570971743653) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.21168570971743653) q[2];
c... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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];\nry(0.1246) 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[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
11,
6,
18,
19,
3,
14.5,
3,
16
] | 0.973688 | [
-0.21168570971743653,
1.9308856659451843,
-0.7604456361294802,
2.2336652977818137,
0.9512505163062746,
-1.0949576031587098,
1.4022228748807728,
0.4690458748432811,
-0.3776214951120504,
0.21283364112687017,
-0.12348753682552199,
-0.5123941432253454,
-0.4469842718237369,
0.846666572969099,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 46 |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [23403, 23411], "expectation_value": -8.682020764175181, "params": null, "bitstrings": ["010010010010100", "010010010001100"], "total_optimization_steps": 100, "probabilities": [0.05696532864769518, 0.8142489515016503], "optimization_time": 518.3049857616425} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999979, "smallest_bitstrings": ["010010010001100"], "largest_eigenvalue": 26.249999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nh q[13];\nh q[14];\nry(1.5708) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIIZ",
"IIZIIZIIIIIIIII",
"IZIIIIIIIIIIIZI",
"IZIIZIIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1.5,
1.5,
1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
... | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
-8521897548794879587 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 10], [2, 4, 7, 8, 9], [0, 1, 3, 5, 6, 7, 9], [0, 1, 2, 3], [0, 1, 4, 5], [2, 5, 6, 8, 10], [1, 3, 4, 5, 8, 10], [1, 2, 4, 7, 10], [0, 2, 3, 4, 5, 7], [8, 9, 4, 1]]} | {"states": [1016, 1017], "expectation_value": -1.8194678181964532, "params": [0.2637, 0.2674, 1.6021, 1.5426, 1.0088000000000001, 1.0036, 1.5651000000000002, 1.5712000000000002, 1.5722, 1.5674000000000001, 1.5676, 1.5713000000000001, 1.5766, 1.5745, 1.6076000000000001, 1.5341, 0.5484, 0.5533, 0.47950000000000004, 0.479... | 0.5 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(8) @ Z(2)) + 0.05714285714285714 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.13333333333333333 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.4071428571428575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.359523809523809, "smallest_bitstrings": ["10000000110"], "largest_eigenvalue": 9.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.09189497941166751) q[0];
rz(-0.3446488696191977) q[0];
ry(1.5259609985493845) q[1];
ry(1.541545304170818) q[2];
ry(1.8680656806422142) q[3];
ry(1.4142988809763397) q[4];
ry(1.5037614285862344) q[5];
ry(1.4656760357810783) q[6];
ry(1.4246874270015466) q[7];
ry(0.3... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIZIIIII",
"IZIIIIIIZII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"ZZIIIIIII... | [
0.5,
0.1,
0.11666666666666667,
0.08333333333333334,
0.11666666666666667,
0.13333333333333333,
0.05,
0.05714285714285714,
0.13333333333333333,
0.13333333333333333,
0.08333333333333334,
0.1,
0.16666666666666669,
0.05,
0.023809523809523808,
0.05,
0.13333333333333333,
0.073809523809523... | 0.970858 | [
-0.09189497941166751,
1.5259609985493845,
1.541545304170818,
1.8680656806422142,
1.4142988809763397,
1.5037614285862344,
1.4656760357810783,
1.4246874270015466,
0.3439332755872275,
0.08662204679439756,
1.1582726204115181,
-0.6892977392383954,
0.7964256993643788,
0.6321768421422023,
-0.25... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -2.4071428571428575,
"target_ratio": 0.97,
"target_value": -2.3349285714285717
} | 12 |
dca74c4464ee5c0862a21e9a873391f9 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [17, 41], "expectation_value": -2.879361657335436, "params": [[-0.0034000000000000002, 0.5245000000000001, 0.6782, 0.9015000000000001, -0.0033, 0.0809, 0.8987], [-0.0031000000000000003, 0.45030000000000003, 0.4632, 0.5794, -0.0033, 0.35860000000000003, 0.8984000000000001], [-0.0034000000000000002, 0.90740000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 10 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1100110", "1001110", "1101100", "1010110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3261879765800164) q[0];
rz(1.3498234549150556) q[0];
rx(0.16548659132819363) q[1];
rz(1.4526953729286571) q[1];
rx(0.2776296021368347) q[2];
rz(1.5160908817020786) q[2];
rx(0.6279148589634342) q[3];
rz(1.4920196900062512) q[3];
rx(-0.006774915293495331) q[4];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IZIIIZI",
"IIIIZIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
-0.25,
0,
-1,
-0.25,
-0.25
] | 0.971022 | [
0.3261879765800164,
-0.22097287187984072,
0.1654865913281936,
-0.11810095386623967,
0.2776296021368347,
-0.05470544509281741,
0.6279148589634342,
-0.07877663678864508,
-0.006774915293495332,
-0.06537013826367577,
-0.25990680458911103,
0.024489350374356463,
0.0028759361912815695,
0.50129538... | {
"n_parameters": 130,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 39 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [0, 1], "expectation_value": -6.120010735508529, "params": [[[0.0024000000000000002, 0.34750000000000003], [0.0022, 0.45530000000000004], [0.003, 0.45080000000000003], [0.0007, 0.4451], [0.001, 0.4687], [0.6059, 0.0037]], [[0.0037, 0.3749], [0.0043, 0.446], [0.0026000000000000003, 0.4635], [0.0071, 0.442], [... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | 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": []} | [
"IIZIIZ",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
4d48db3aac3054db2f0d45ca5dabaa75 | matching | qaoa | {"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": [181, 109], "expectation_value": -7.914378321499031, "params": [[-0.0405, 0.044700000000000004], [0.0645, -0.024300000000000002]], "bitstrings": ["01001010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007083234529207411, 0.007785686394306347], "optimization_time": 2.783351182937622} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 4.0 * Z(0) + 11.0 * Z(2) + 15.0 * Z(5) + 6.5 * Z(4) + 7.5 * Z(3) + 0.5 * Z(6) + 9.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 115.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.6401383719302894e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.6401383719302894e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-3.6401383719302894e-09) q[2];
cx q[0], q[2];
rz(1.5707963331708132) q[0];
rx(1.5707963307982897) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZZIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11.5,
4,
11,
15,
6.5,
7.5,
0.5,
9.5
] | 0.869919 | [
-3.6401383719302894e-9,
-1.570796311204735,
1.5707963331708128,
-1.570796320056699,
-1.5707963533568086,
1.5707963313816011,
-1.5707962738418961,
1.5707963362359514,
-1.570796367051962,
1.5707963307982897,
0.8300071722455249,
0.34339063416466314,
1.353780366097409,
0.2824508944309151,
2.... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 443 |
fedd0ed2c2ae8c7985cdb241951633d5 | 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": [1926, 1414], "expectation_value": -69.07131454898207, "params": [0.5910000000000001, 0.1077, 0.38020000000000004, 0.14650000000000002, 0.6016, -0.0039000000000000003, 0.6012000000000001, 0.0976, 0.2449, 0.2031, 0.005, 0.2921, 0.033100000000000004, -0.276, 0.3689, 0.18000000000000002, 0.6022000000000001, 0.0... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(9)) + 13.5 * Z(2) + 15.0 * Z(0) + 4.5 * Z(1) + 10.0 * Z(3) + 1.0 * Z(4) + -2.5 * Z(6) + 8.5 * Z(8) + 4.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-107.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["01001111001"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.42511120011089926) q[0];
rz(-0.02970921509491209) q[0];
rx(0.030654768326196707) q[1];
rz(0.2674549350376843) q[1];
rx(0.7356721148507842) q[2];
rz(0.1378870258348682) q[2];
rx(0.8882957114489428) q[3];
rz(0.2670415600813046) q[3];
rx(0.2233352572338757) q[4];
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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
13.5,
15,
4.5,
10,
1,
-2.5,
8.5,
4,
6.5,
-4.5,
-11
] | 0.970712 | [
0.42511120011089926,
0.10509932601508461,
0.030654768326196707,
0.2674549350376843,
0.7356721148507842,
0.1378870258348682,
0.8882957114489428,
0.2670415600813046,
0.2233352572338757,
0.280603486477232,
0.11252192275780526,
0.346098711400281,
0.0563720428715159,
-0.3279994443838175,
0.03... | {
"n_parameters": 122,
"n_qubits": 11,
"optimal_eigenvalue": -107,
"target_ratio": 0.97,
"target_value": -103.78999999999999
} | 13 |
4b58c5f638de8a7d9440a4e0a8e21441 | 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}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target":... | {"states": [1023, 1019], "expectation_value": -12.479942833607295, "params": [[[-0.0088, -0.0041], [-0.0257, -0.0291], [0.0054, 0.0025], [0.0013000000000000002, -0.0025], [0.0099, -0.003], [0.0587, -0.0029000000000000002], [0.019700000000000002, -0.0028], [0.1658, 0.0005], [0.6011000000000001, -0.0063], [0.821800000000... | -0.75 * (Z(0) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["10000000100"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.21107121842922033) q[0];
ry(0.18916096343815425) q[1];
ry(0.06600465295445102) q[2];
ry(0.04718456337755721) q[3];
ry(0.06600465295445102) q[4];
ry(0.1081952050797346) q[5];
ry(-0.010618752628568297) q[6];
ry(0.005766764120116126) q[7];
ry(-1.487394369933252) q[8]... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIZIIZIII",
"IZIIIZIIIII",
"IIIIIZIZIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZIZII",
"IZIZIIIII... | [
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.5,
1,
-1,
-0.25,
-0.25,
-1,
-2,
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
0.5,
1,
-1.25,
0.25,
0.5,
-1,
-1,
1.25,
1.25
] | 0.973747 | [
0.21107121842922033,
0.18916096343815425,
0.06600465295445102,
0.04718456337755721,
0.1081952050797346,
-0.010618752628568297,
0.005766764120116126,
-1.487394369933252,
-0.6186505253602084,
0.05601349886846345,
0.46173926812550947,
0.03142391737470687,
-0.004241002603236191,
-0.03150147020... | {
"n_parameters": 69,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 55 |
69c9ce86bfac888cdfb5b3c0db4fe232 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [0, 1023], "expectation_value": -12.143367584313781, "params": [[[0.0019, 1.6067], [0.0021000000000000003, 0.002], [0.0022, 0.003], [0.0024000000000000002, 0.0017000000000000001], [0.0022, 0.0024000000000000002], [-0.0027, -0.0015], [0.0016, 0.0019], [-0.0031000000000000003, 0.0023], [0.002, 0.00180000000000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 15 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.04688792291588291) q[0];
h q[1];
cx q[1], q[0];
ry(0.04688792291588291) q[0];
cx q[1], q[0];
ry(1.420770288997853) q[0];
ry(0.5923165789607414) q[1];
cx q[0], q[1];
ry(-0.2982489883402873) q[1];
cx q[0], q[1];
ry(0.10583350094341104) q[0];
h q[2];
ry(0.45... | 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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-2,
1,
-2,
-2,
1,
-2,
-2,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.977102 | [
-0.09377584583176582,
0.36648298924594364,
1.2514927454220992,
0.29406759062045407,
1.420770288997853,
1.5299342571375198,
0.40889228059382626,
1.5156112368399712,
0.9032643310113615,
1.436091093973888,
-0.03458643540790102,
0.7348349611282616,
0.5964979766805746,
0.03843323259044275,
0.... | {
"n_parameters": 41,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 94 |
cccde4707d298ae394e20cc161e11586 | 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}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -14.079258893062548, "params": [-0.003, -0.3597, 0.0017000000000000001, -0.3617, 0.0045000000000000005, -0.36960000000000004, -0.0041, -0.3764, 0.0006000000000000001, -0.3089, 0.005, -0.3155, 0.004200000000000001, -0.3629, -0.007200000000000001, -0.3743, 0.004200000000000001, -0.... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 5 | 9 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
2e6ea11e2a4f0b1c9b569231867d91ab | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 19], "expectation_value": -0.13251733337835894, "params": [[0.06330000000000001], [-0.0522]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.008497923370192027, 0.008498500763561309], "optimization_time": 1.4586799144744873} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011011", "1101001", "1011001", "1101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.38962684685429555) q[0];
rz(1.879268088331699) q[0];
rx(0.06838683446041065) q[1];
rz(1.1876047389723228) q[1];
rx(-0.09351746147219979) q[2];
rz(1.5623416949371212) q[2];
rx(-0.1139784767351197) q[3];
rz(1.3299050299033546) q[3];
rx(0.23761046912690656) q[4];
rz(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[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[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5,
0
] | 0.970427 | [
0.3896268468542955,
0.3084717615368029,
0.06838683446041065,
-0.3831915878225738,
-0.0935174614721998,
-0.00845463185777533,
-0.1139784767351197,
-0.24089129689154237,
0.2376104691269066,
0.1457510130319123,
0.5153135079350096,
-0.6342581115198167,
0.23184671834073584,
0.13841169131561415,... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 258 |
ce16507f4df4b68459e3b5a73265e8de | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [892, 1023], "expectation_value": -0.07360960224948902, "params": [[0.017], [-0.0245]], "bitstrings": ["0010000011", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001012633049545712, 0.0010142678756264528], "optimization_time": 1.7502799034118652} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7665170727936429) q[0];
h q[1];
h q[2];
h q[3];
ry(0.1734425697228132) q[3];
cx q[1], q[3];
ry(-0.1734425697228132) q[3];
cx q[1], q[3];
ry(1.5853577304644693) q[1];
cx q[1], q[0];
ry(-0.7665170727936429) q[0];
cx q[1], q[0];
ry(0.06976204622716657) 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[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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.970662 | [
0.6847815492928903,
0.3468851394456264,
1.5853577304644693,
1.5330341455872858,
0.41347647365600954,
1.1949415751942356,
0.615418636102292,
1.9872896054745093,
-0.2523184057707912,
0.13952409245433314,
0.5890111293015909,
0.5270620258394063,
0.580742001538326,
0.2680515851360574,
0.27241... | {
"n_parameters": 55,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 119 |
9c17189069c29dbfeba70f5c04497777 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1792, 1799], "expectation_value": -2.563358392945941, "params": [[-0.0712], [0.07390000000000001]], "bitstrings": ["00011111111", "00011111000"], "total_optimization_steps": 10, "probabilities": [0.0009998008331023147, 0.00105268529164705], "optimization_time": 0.8445940017700195} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.005141428457780879) q[0];
h q[1];
h q[2];
ry(0.2872707904827063) q[2];
cx q[1], q[2];
ry(-0.2872707904827063) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(2.0766683407126703) q[1];
ry(-0.005141428457780879) q[0];
cx q[2], q[0];
ry(0.2983806401612149) q[2];
rz(-p... | 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[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[2], ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-3,
1,
-3,
1.5,
-3,
1,
-3,
1.5,
-2.5,
-3,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
-2,
1,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.970073 | [
0.04208779654901066,
-1.7226504351569891,
-2.4311020643401897,
-1.6946103265956975,
-1.2992192993201566,
-0.019149843846217193,
-0.026806469370112516,
-1.5758523135532292,
0.0300250061369796,
0.5745415809654126,
2.0766683407126703,
0.05724821539921715,
0.0027932204690385943,
0.010282856915... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 334 |
4c4da3ad491bff88a89c5a8ec3c34597 | 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}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 2, "sourc... | {"states": [492, 220], "expectation_value": -22.94205742011787, "params": null, "bitstrings": ["000010011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06607608965990223, 0.10720124909597452], "optimization_time": 163.98894691467285} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 8.0 * Z(1) + 5.0 * Z(0) + 8.0 * Z(2) + 16.5 * Z(4) + 6.0 * Z(3) + 8.5 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16638194959451016) q[0];
rz(1.3504463437628047) q[0];
rx(0.13628005646933497) q[1];
rz(1.547930008659316) q[1];
rx(0.0334887267522833) q[2];
rz(1.657546540670765) q[2];
rx(-0.18794429582342204) q[3];
rz(1.3716830215976152) q[3];
rx(0.023360703458834325) q[4];
rz(1.... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(38.6317) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
5,
8,
16.5,
6,
8.5,
13.5,
8.5,
-3
] | 0.971153 | [
0.16638194959451022,
-0.22034998303209202,
0.13628005646933497,
-0.022866318135580904,
0.0334887267522833,
0.08675021387586856,
-0.18794429582342204,
-0.19911330519728157,
0.023360703458834328,
-0.038151300402218674,
0.2152659055591548,
-0.008601300404359306,
0.04082613652248435,
0.4900848... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -73,
"target_ratio": 0.97,
"target_value": -70.81
} | 257 |
dc8d8192875a870155e97d71f583812a | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [193, 201], "expectation_value": -5.576377215027317, "params": [0.5993, -0.0022, 0.6075, -0.0018000000000000002, -0.0001, -0.3154, 0.0663, -0.0064, 0.6072000000000001, -0.0015, 0.0036000000000000003, 0.273, 0.1872, -0.1668, 0.6034, 0.0183, 0.6052000000000001, -0.0023, 0.6047, -0.0011, 0.008400000000000001, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6943362406544458) q[0];
rz(1.622687699947921) q[0];
rx(0.8297818559647746) q[1];
rz(1.383151647673043) q[1];
rx(0.01649001275526532) q[2];
rz(1.43023419451176) q[2];
rx(-0.12809076480283224) q[3];
rz(1.9915227506784419) q[3];
rx(0.9609637690354662) q[4];
rz(1.47283... | 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": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
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,
-0.5,
-1.5,
-1,
-0.5,
-2,
-1,
-1.5
] | 0.976098 | [
0.6943362406544458,
0.051891373153023904,
0.8297818559647746,
-0.18764467912185367,
0.01649001275526532,
-0.14056213228313622,
-0.1280907648028322,
0.42072642388354453,
0.9609637690354661,
-0.09796235878415599,
-0.09499881136149566,
0.18502760834157705,
0.12029431758760777,
-0.204442006212... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 13 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236556, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.1380348713554944, 0.6661905481251051], "optimization_time": 821.152667760849} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 68.00000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[13];\nh q[14];\nh q[15];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
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,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
9396e0c9eb600561a2275b0f49d5c223 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [2478, 3502], "expectation_value": -1.71470758604891, "params": [0.6806, -0.0091, 0.43910000000000005, 0.2258, 0.3373, 0.2384, 0.6964, 0.1153, 0.6917, -0.0048000000000000004, 0.0956, 0.29400000000000004, 0.46180000000000004, 0.0409, 0.20980000000000001, 0.2639, 0.6897, 0.0717, 0.6317, 0.017400000000000002, 0... | 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(... | 16 | 12 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.2541237121426314) q[0];
rz(1.0555147404899403) q[0];
ry(0.020040124124250963) q[1];
rz(1.2660012497250481) q[1];
cz q[1], q[0];
ry(-3.0908158682384266) q[1];
ry(0.33184918478338987) q[2];
rz(0.4612559872347786) q[2];
ry(1.5194783362152378) q[3];
rz(-0.016626320663... | 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZZIIIZ",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIZZIII... | [
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,
0.25,
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,
0.125,
0.... | 0.971228 | [
3.2541237121426314,
1.0555147404899403,
0.020040124124250963,
1.2660012497250481,
0.33184918478338987,
0.4612559872347786,
1.5194783362152378,
-0.016626320663513272,
-0.20448818807052813,
-0.6242762531170303,
1.462993523640422,
-0.35368836473538834,
0.12063766719757701,
0.6371218986325784,... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 46 |
8b93e94e7d120e46148ad446833ed9fa | 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}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [511, 2047], "expectation_value": -15.556105257190262, "params": null, "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.07933452171558274, 0.2564704571200824], "optimization_time": 295.2875952720642} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.2516066485706654) q[0];
ry(0.14225561708995127) q[1];
ry(-0.03840338888089845) q[2];
ry(0.014523612680970667) q[3];
ry(-0.03840338888089845) q[4];
ry(0.06077077514832882) q[5];
ry(-0.2588081100009064) q[6];
ry(-0.0636328262608635) q[7];
ry(-0.006558717681828641) ... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5708) q[7], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-1,
-3,
0.5,
-3,
-2.5,
-3,
1.5,
1,
-3,
-2.5,
-3,
1,
-3,
-2.5,
-3,
1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5
] | 0.976086 | [
-0.2516066485706654,
0.14225561708995127,
-0.03840338888089845,
0.014523612680970667,
0.06077077514832882,
-0.2588081100009064,
-0.0636328262608635,
-0.006558717681828641,
-0.21710259853136601,
0.5032913670811486,
3.0848630393650267,
0.11878388473033642,
-0.03314435296134136,
-0.0000936705... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 50 |
1447728269418454407 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 6], [0, 4], [8, 4, 5]]} | {"states": [333, 186], "expectation_value": -0.4459852059096132, "params": [[0.2528], [-0.2432]], "bitstrings": ["010110010", "101000101"], "total_optimization_steps": 30, "probabilities": [0.004085789946069062, 0.0041181449135524305], "optimization_time": 8.993224620819092} | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.283333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2833333333333337, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(1.172133841602081) q[1];
cx q[2], q[1];
rz(-0.6981712383212493) q[1];
rx(-0.8908040582318333) q[1];
h q[3];
cx q[2], q[3];
rz(0.06367377445604337) q[3];
cx q[2], q[3];
cx q[3], q[0];
rz(-0.1708578230816731) q[0];
cx q[3], q[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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.08333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.1250000000000001,
0,
0.224... | 0.681412 | [
1.172133841602081,
0.06367377445604337,
-0.1708578230816731,
0.2105331669400528,
0.23536598389128552,
0.6805160101814225,
-0.698171238321249,
1.0457435406125533,
-0.10166438293108288,
1.2358573934812207,
-0.8908040582318333
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -2.283333333333334,
"target_ratio": 0.97,
"target_value": -2.214833333333334
} | 244 |
9166bed2e29ff69e5428606133a6b7da | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [360, 504], "expectation_value": -14.686122867869134, "params": null, "bitstrings": ["010010111", "000000111"], "total_optimization_steps": 100, "probabilities": [0.11063517094406215, 0.5491237941722557], "optimization_time": 173.30860304832458} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6559923908838374) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.641858777776417) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6559923908838374) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.641858777776417) q[5];... | null | {"node": 9} | {"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[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... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
-3,
-2.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1
] | 0.56849 | [
-0.6559923908838374,
-0.641858777776417,
-0.45434346324668123,
-0.07817020250922593,
-0.42022323800771944,
-1.0613050886451882,
-1.5964257872079792,
-1.004400238381587
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 216 |
4b2b5ba04f490b1a55b5e14f626537a5 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -0.7336932004633363, "params": [[0.056, 0.0805], [-0.027, -0.07150000000000001]], "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 10, "probabilities": [0.010653104877115705, 0.010653104877115708], "optimization_time": 3.240401268005371} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6070261127721035) q[0];
h q[1];
ry(-1.551331179186838) q[1];
h q[2];
cx q[2], q[0];
ry(0.6070261127721035) q[0];
cx q[2], q[0];
ry(-0.6149725597461607) q[0];
ry(0.9885050351854432) q[2];
h q[3];
ry(1.495667010488557) q[3];
h q[4];
ry(1.495667010488557) q[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;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
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,
-1.5,
-1.5,
-1,
0
] | 0.998608 | [
-1.551331179186838,
-1.584904635171181,
1.495667010488557,
-1.214052225544207,
0.7319726548460825,
-0.3768706356320442,
0.5130647606787211,
-0.4762038482282329,
0.35645834763980605,
-0.17531532782789122,
0.19033161818229352,
0.18406705281432265,
0.0246127673755438,
0.0846861305640349
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
bf3fdbc9f49ab5a160ae1535c0470d82 | 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": 2}, {"source": 0, "target": 4}, {"s... | {"states": [8191, 8184], "expectation_value": -31.905416257753597, "params": [[[-0.0022, 3.1438], [-0.0028, -0.0026000000000000003], [-0.0033, -0.0029000000000000002], [-0.0032, -0.003], [-0.0027, -0.0029000000000000002], [-0.0029000000000000002, -0.0028], [-0.0019, -0.0026000000000000003], [-0.0022, 0.0022], [-0.0027,... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.0... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0000000000111"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(7.633473899250727e-09) q[0];
ry(-4.423295867260365e-08) q[1];
ry(1.7777519721133802e-08) q[2];
ry(9.098684982135825e-09) q[3];
ry(-6.0903624720823185e-09) q[4];
ry(-1.1554668351919938e-08) q[5];
ry(-4.512127996020322e-08) q[6];
ry(7.633473899250727e-09) q[7];
ry(-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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIIZZIIIIII",
"IIIIZZIIIII... | [
-3,
-3,
-2,
-3,
-3,
1,
-3,
1,
0.5,
-2.5,
-3,
1,
0.5,
-2.5,
1,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
1,
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
] | 0.955224 | [
7.633473899250727e-9,
-4.423295867260365e-8,
1.7777519721133802e-8,
9.098684982135825e-9,
-6.0903624720823185e-9,
-1.1554668351919938e-8,
-4.512127996020322e-8,
1.5707962769827253,
1.5707962348325797,
-4.937600847708022e-9,
3.141592681499128,
9.84152783416438e-10,
2.4248796334912005e-8,
-4... | {
"n_parameters": 18,
"n_qubits": 13,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 343 |
060a07682fdbb96d13a3e093ec5b6b67 | 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}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [16159, 15903], "expectation_value": -1.950305622785689, "params": [[0.0529], [-0.0442]], "bitstrings": ["00000011100000", "00000111100000"], "total_optimization_steps": 10, "probabilities": [0.00010870032635654349, 0.00011101579838521884], "optimization_time": 74.73815894126892} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + 0... | 10 | 14 | 1 | {"smallest_eigenvalues": [-41.999999999999574], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.99999999999947, "smallest_bitstrings": ["00000111100000"], "largest_eigenvalue": 34.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5908650277874354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.43807260206979937) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.5908650277874354) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5908650277874354) q[4];
cx ... | 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[14] c;
qubit[14] 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];
cx... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIZZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIZIZIIIII",
"IIIIIZIZIIIIII",
"IIIIIZIIZIIIII",
"IIIIIZZIIIIIII"... | [
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
1,
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.564705 | [
-0.5908650277874354,
-0.43807260206979937,
-0.008521051501415211,
-0.22590643156066595,
-1.0744196302824578,
-1.311478237214652,
-1.0525747573821638
] | {
"n_parameters": 7,
"n_qubits": 14,
"optimal_eigenvalue": -41.999999999999574,
"target_ratio": 0.97,
"target_value": -40.73999999999958
} | 197 |
ee818e8b77e87d0e69dea2e46f987917 | 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": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [0, 1016], "expectation_value": -15.446618177213821, "params": [-0.0316, 2.1923, 0.7342000000000001, 0.0012000000000000001, 0.9299000000000001, 0.8731, -0.8392000000000001, 0.0077, -0.9903000000000001, 1.2215, 0.0429, 0.009300000000000001, -1.0208000000000002, 1.762, -0.48850000000000005, 0.0082, -1.0017, 1.... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5929828599927902) q[0];
cx q[1], q[0];
rz(0.024285097694327185) q[0];
rx(0.9916528413789296) q[0];
rz(0.024285097694327185) q[1];
rx(0.9916528413789296) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.9649497147618795) q[2];
cx q[4... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1,
-2,
0.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.576347 | [
1.5929828599927902,
0.9649497147618795,
0.024285097694327285,
0.3067860577408451,
0.7182962931950809,
0.08339071927130128,
0.9916528413789296
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 202 |
-7534419039873654300 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [3, 5], [0, 2], [4, 5], [6, 7]]} | {"states": [134, 133], "expectation_value": -2.1788220120142747, "params": null, "bitstrings": ["01111001", "01111010"], "total_optimization_steps": 55, "probabilities": [0.04965931498158089, 0.7576164907863046], "optimization_time": 70.50842070579529} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100110", "10011001", "10011010", "00100101", "01111010", "01111001"], "largest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.32753638117640294) q[1];
h q[2];
ry(-0.3200942010239323) q[2];
cx q[0], q[2];
ry(0.3200942010239323) q[2];
cx q[0], q[2];
ry(1.0318967875107568) q[0];
ry(-0.8890786996333166) q[2];
h q[3];
ry(-0.7542857014928416) q[3];
h q[4];
ry(-0.320094201023932... | 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[5], 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] = me... | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZIZ",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0,
0
] | 0.973525 | [
-0.6401884020478646,
1.325622424086248,
-1.5085714029856832,
-0.6747740270359194,
0.7956942288284921,
0.9237546636776984,
0.10761994926206861,
-0.6614813361228316,
0.47240511736452945,
-0.5401323399242633,
0.35452715182969324,
-0.5117943754313135,
-0.4551947270209705,
-0.6550727623528059,
... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 13 |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30715, 30719], "expectation_value": -17.663971934902477, "params": [[[1.2451, 0.0412, 0.0014, 0.0053], [-0.5056, -0.0476, 0.3246, 0.0055000000000000005], [1.2317, -0.0398, 0.0031000000000000003, -0.0407], [0.0023, 1.0914000000000001, 0.0025, 0.0082], [1.1686, -0.039, 0.0078000000000000005, -0.0391], [0.6172... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 12 | 15 | 3 | {"smallest_eigenvalues": [-18.62499999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.374999999999375, "smallest_bitstrings": ["000100000000000"], "largest_eigenvalue": 39.37499999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIIZIIII",
"IZIIIIIIIIIIZII",
"IZIIIIIIIZIIIII",
"ZIIIIIIIIIZIIII",
"ZIIIIIIIIIIIZII",
"ZIIIIIIIIZIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIIZIIII",
"IIIIIIIZIZIIIII",
"... | [
0.375,
0.5,
1,
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,
-0.5,
-0.5,
-0.5,
1,
0.75,
0.75,
4.5,
2.375,
4.5,
2.5,
2.5,
2,
2,
1.5,
1,
1.5,
0.5,
0.5,
-0.125
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
6895315839959659397 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 6, 7, 8], [1, 3, 5, 6, 7, 8], [2, 4, 6], [0, 2, 3, 4, 5, 8], [0, 3, 4, 6], [0, 3, 5, 6, 7, 8], [1, 4, 6, 7], [0, 1, 5], [8, 4, 5, 6], [8, 2, 4, 7], [1, 2, 3, 4]]} | {"states": [485, 237], "expectation_value": -1.0360807784619115, "params": [[-0.2456], [0.2555]], "bitstrings": ["000011010", "100010010"], "total_optimization_steps": 30, "probabilities": [0.0039669707034932535, 0.003973542477643866], "optimization_time": 2.070307970046997} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.15 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(2)) + 0.15 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.4333333333333336, -2.4333333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.383333333333333, "smallest_bitstrings": ["100010010", "000011010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.356746381529972e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-1.271924410394895e-08) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-5.700552849445344e-09) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-5.7005... | 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]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"... | [
0.19999999999999998,
0.11666666666666667,
0.06666666666666667,
0.15,
0.15,
0.19999999999999998,
0.15,
0.06666666666666667,
0.11666666666666667,
0.18333333333333335,
0.06666666666666667,
0.1,
0.15,
0.18333333333333335,
0.18333333333333335,
0.11666666666666667,
0.15,
0.11666666666666... | 0.902035 | [
-3.356746381529972e-8,
1.5242336039277415e-10,
-1.271924410394895e-8,
-5.700552849445344e-9,
-4.635068380798107e-8,
1.1562578661379964e-7,
-1.5707963330005523,
-1.2302992458303223e-7,
5.760215560568447e-8,
-7.358928819660294e-8,
-2.7160294097243297e-8,
-1.5707962597836556,
-4.200094469872684... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -2.4333333333333336,
"target_ratio": 0.97,
"target_value": -2.3603333333333336
} | 400 |
abdf85907730406a95d935d03e88749b | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 2}, {"sour... | {"states": [85, 87], "expectation_value": -6.517767102113012, "params": [[-0.0019, 0.0011, 1.048, -0.0023, 1.0525, 0.003, 1.3865, 0.4889, 1.3808], [-0.0024000000000000002, 0.0028, 1.0505, -0.0022, 1.0483, 0.0031000000000000003, 0.6871, 0.049600000000000005, 0.6999000000000001], [-0.0018000000000000002, -0.001, 1.0518, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(3) + -2.0 * Z(0) + -0.5 *... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["110101000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.20437274725862573) q[0];
ry(0.08524896322708081) q[1];
ry(0.9831070209716617) q[2];
ry(-0.053040595274444595) q[3];
ry(0.8990488858620269) q[4];
ry(0.05729447636996882) q[5];
ry(1.4431037504336413) q[6];
ry(0.8218011388182623) q[7];
ry(1.6545735651412403) q[8];
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": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIIZIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
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,
-2,
-0.5,
-2,
-1,
0,
-1,
-0.5,
-0.5
] | 0.972709 | [
-0.20437274725862573,
0.08524896322708081,
0.9831070209716617,
-0.053040595274444595,
0.8990488858620269,
0.05729447636996882,
1.4431037504336413,
0.8218011388182623,
1.6545735651412403,
-0.01316999407741094,
0.022568236669125954,
0.9370198594484382,
0.020807962947622875,
1.073936276325049... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
-9149308513777593156 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[3, 4, 7, 9, 13], [0, 2, 5, 7, 13], [0, 2, 3, 7, 8], [2, 10, 4], [4, 8, 11, 12, 13], [8, 3, 11], [2, 3, 7, 8, 13], [1, 2, 3, 10, 12], [10, 12, 13], [0, 3, 6], [0, 1, 7, 12, 13], [0, 2, 9, 10, 11], [8, 0, 10], [0, 9, 2, 7], [8, 9, 5, 0], [8, 9, 6, ... | {"states": [14174, 15411], "expectation_value": -3.2902897376997804, "params": [[0.2772], [-0.2843]], "bitstrings": ["00100010100001", "00001111001100"], "total_optimization_steps": 30, "probabilities": [0.00036315795768817146, 0.0003684425290887464], "optimization_time": 14.020605325698853} | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.05 * (Z(9) @ Z(4)) + 0.3 * (Z(9) @ Z(3)) + 0.26666666666666666 * (Z(9) @ Z(7)) + 0.1 * (Z(13) @ Z(4)) + 0.26666666666666666 * (Z(13) @ Z(3)) + 0.2 * (Z(13) @ Z(7)) + 0.05 * (Z(13) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(3)) + 0.2333... | 1 | 14 | 1 | {"smallest_eigenvalues": [-5.883333333333305], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.883333333333295, "smallest_bitstrings": ["00001111001100"], "largest_eigenvalue": 25.000000000000114} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.012862140797006075) q[3];
cx q[4], q[3];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.012862140797006075) q[7];
cx q[4], q[7];
cx q[3], q[7];
rz(0.08461237364203042) q[7];
cx q[3], q[7];
h q[8];
h q[9];
cx q[4]... | 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": []} | [
"IIIIIIIIIZZIII",
"IIIIIIZIIZIIII",
"IIIIIIZIIIZIII",
"IIIIZIIIIZIIII",
"IIIIZIIIIIZIII",
"IIIIZIZIIIIIII",
"ZIIIIIIIIZIIII",
"ZIIIIIIIIIZIII",
"ZIIIIIZIIIIIII",
"ZIIIZIIIIIIIII",
"IIIIIIIIIIZIIZ",
"IIIIIIZIIIIIIZ",
"IIIIZIIIIIIIIZ",
"ZIIIIIIIIIIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIIZZII"... | [
0.05,
0.05,
0.15000000000000002,
0.05,
0.3,
0.26666666666666666,
0.1,
0.26666666666666666,
0.2,
0.05,
0.21666666666666667,
0.23333333333333334,
0.21666666666666667,
0.18333333333333335,
0.3333333333333333,
0.15000000000000002,
0.2833333333333333,
0.18333333333333335,
0.1833333333... | 0.970293 | [
0.012862140797006075,
0.08461237364203042,
-0.04851660824737161,
0.02175786363491842,
-0.1441586774035352,
-0.14191095857245076,
0.023301734630074056,
-0.03850771178681546,
0.009809674155082566,
-0.02800897900464397,
-0.023220620016744426,
-0.06888586103773262,
-0.04339608928990775,
-0.046... | {
"n_parameters": 32,
"n_qubits": 14,
"optimal_eigenvalue": -5.883333333333305,
"target_ratio": 0.97,
"target_value": -5.706833333333306
} | 218 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_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": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 19.576551914215088} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
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