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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e24c28a1225e0371d997320aeb87abff | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [96, 116], "expectation_value": -6.499934087173656, "params": null, "bitstrings": ["0011111", "0001011"], "total_optimization_steps": 35, "probabilities": [1.3833753420718874e-05, 0.9999481848419572], "optimization_time": 42.2164249420166} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1286784485183885) q[0];
rz(-pi) q[0];
ry(-3.1286784485183885) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4280074920992123) q[2];
h q[3];
ry(-1.57483087522206) q[3];
ry(-3.06011872053978) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(-0.061314901645671084) q[4];
cx q[2], q[4];
cx q[... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IZZIIII",
"ZIZIIII",
"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,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-1,
-0.5,
-0.5
] | 0.997889 | [
-1.57483087522206,
-1.5582277347958484,
1.4280074920992123,
0.12262980329134217,
0.2597492592485593,
-0.010901440633785661,
-0.01106501863558813,
-0.04011769675080307
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
60c88ab22b149e82bb7da24a7941f270 | 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": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [70, 38], "expectation_value": -5.496464044051043, "params": null, "bitstrings": ["0111001", "1011001"], "total_optimization_steps": 31, "probabilities": [0.06634810230181512, 0.930366517177065], "optimization_time": 26.707295656204224} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1011001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.33887067804164e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.33887067804164e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.33887067804164e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(1.33887067804164e-08) q[3];
cx q[0], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
-1,
-1
] | 0.818182 | [
1.33887067804164e-8,
-1.570180603237012,
1.5707963324338174,
1.570796291382669
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 155 |
5043903666762505941 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [3, 5], [0, 4]]} | {"states": [33, 41], "expectation_value": -1.185594414086588, "params": null, "bitstrings": ["011110", "010110"], "total_optimization_steps": 34, "probabilities": [0.1253963305955531, 0.5197527415920887], "optimization_time": 26.158611297607422} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "100001", "010011", "001011", "010110", "001110"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.29054547109249873) q[1];
h q[2];
cx q[2], q[1];
ry(0.29054547109249873) q[1];
cx q[2], q[1];
h q[3];
ry(-0.4979423658375405) q[3];
h q[4];
ry(-0.4979423658375405) q[4];
cx q[0], q[4];
ry(0.4979423658375405) q[4];
cx q[0], q[4];
ry(1.348409255100492... | 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[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.972373 | [
-0.995884731675081,
1.2175268336239502,
-0.7906950870086147,
0.8536673874717209,
0.26176484295308533,
-0.3438363219296446,
0.7067700119857723,
-0.4760679204351977,
-0.27911254851335776,
-0.5810909421849975,
0.0368743574672442,
-0.031924580609864465,
0.9070027593329743,
0.12242224322312453,... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 13 |
1c43c94da61f0edfd0d443bbe88c06e0 | 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}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 5, "s... | {"states": [49, 113], "expectation_value": -16.05999235206001, "params": null, "bitstrings": ["111001110", "110001110"], "total_optimization_steps": 74, "probabilities": [0.36542885069883485, 0.3663016014635364], "optimization_time": 113.95744395256042} | -1.25 * (Z(0) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(8) @ Z(5)) + 2.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["110001110", "111001110"], "largest_eigenvalue": 27.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7096524538958177) q[0];
ry(-1.1660792535146889) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(0.8016063020009442) q[3];
h q[4];
ry(1.6215168305103076) q[4];
cx q[4], q[1];
ry(-0.4940019436085512) q[1];
cx q[4], q[1];
cx q[4], q[3];
ry(-0.8016063020009442) q[3];
c... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.9755) 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] = ... | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIIZZI",
"IZIIIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-1.25,
-1.5,
-1,
-1.75,
-0.25,
-1,
-0.75,
-1.25,
-0.75,
-1.75,
-1,
-1.25,
-1.75,
2.5,
-1,
1.75,
-0.25,
-1,
-4.25,
-1.75,
1.25,
2.75,
1.75,
-0.25
] | 0.97075 | [
-0.8987190168887589,
-1.4193049077916353,
1.6215168305103076,
0.9880038872171024,
1.6032126040018884,
-1.4802450475759676,
1.1733599915568218,
-0.4209759517363419,
0.23543620061110307,
0.4637882315916415,
-0.5565317828448001,
-0.9536877394305293,
-1.1299335465881095,
-0.21413418314641697,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 62 |
803276a777b6ec2f65b92e64949dd4f0 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [1023, 135], "expectation_value": -1.9126358129646035, "params": [[-0.0425], [0.046400000000000004]], "bitstrings": ["0000000000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.001513726746305006, 0.001532364922786861], "optimization_time": 12.98854398727417} | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5355832492014104) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.3128776199268214) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.5355832492014104) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.5355832492014104... | 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[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]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
-3,
1,
-3,
-3,
-3.5,
1.5,
1,
1,
-2.5,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
-3,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1.5,
1,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.568701 | [
0.5355832492014104,
0.3128776199268214,
0.4701458484266868,
0.3463986549924006,
0.7177270089472799,
1.2240145629974246,
0.8160185914655327,
0.10087803803075286,
1.0916096411102334
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 226 |
-5953744369293852803 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 7], [1, 5, 6], [0, 1, 3, 4, 7], [3, 5, 6, 7], [0, 2, 3, 5], [1, 2, 3, 5, 7]]} | {"states": [123, 243], "expectation_value": -0.8510622109781046, "params": [[0.4737], [-0.45370000000000005]], "bitstrings": ["10000100", "00001100"], "total_optimization_steps": 50, "probabilities": [0.011548020509248406, 0.01275568277408491], "optimization_time": 2.218997001647949} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(4)) + 0.1 * (Z(1) @ Z(7)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.4833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4, "smallest_bitstrings": ["00001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(8.27952837836572e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(5.651656098378604e-08) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(3.7382247518980415e-08) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(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] 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": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"ZIIIIIZI",
"IIZIIZII",
"IIZIIIIZ",
"ZIZIIIII",
"IIZIIIZI",
"ZZIIIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIZZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIZIZII... | [
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.05,
0.05,
0.05,
0.1,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.16666666666666666,
0.25,
0... | 0.88764 | [
8.27952837836572e-9,
5.651656098378604e-8,
3.7382247518980415e-8,
-1.3134383110216354e-8,
1.0047472506720456e-7,
4.014192109057138e-8,
1.6088244943664187e-7,
1.254768762966502e-8,
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1.5707962656443375,
1.5707964184400456,
1.570796250237957,
1.5707962928110493,
-1.5707960... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.4833333333333334,
"target_ratio": 0.97,
"target_value": -1.4388333333333334
} | 385 |
f80c16dfdeb8c50f33bdf5ec5f2943a3 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [0, 96], "expectation_value": -1.8094809582664773, "params": [[-0.0736], [0.06860000000000001]], "bitstrings": ["1111111", "0011111"], "total_optimization_steps": 10, "probabilities": [0.012192413016269176, 0.012667965219921317], "optimization_time": 2.0207018852233887} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(6)) + -2.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.5 * Z(6) + -2.5 * Z(2) + -2.5 * Z(3) + -2.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0011111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2602403803497721) q[0];
cx q[1], q[0];
rz(-0.3106888048774703) q[0];
rx(1.0469337890631476) q[0];
rz(-0.3106888048774703) q[1];
rx(1.0469337890631476) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.676043244820184) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(x1) q[2];
cx q[6], q[2]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-2.5,
-2.5,
1,
1,
0.5,
1,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5
] | 0.49073 | [
1.2602403803497721,
0.676043244820184,
0.0766749250504074,
-0.3106888048774704,
0.40553389858720224,
1.0469337890631474
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 164 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_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": [6, 20], "expectation_value": -0.8288528540270941, "params": [[0.0386, 0.0655, 0.0674, 0.040400000000000005], [-0.0016, -0.046900000000000004, -0.055600000000000004, -0.043500000000000004]], "bitstrings": ["11001", "01011"], "total_optimization_steps": 10, "probabilities": [0.04575739272806272, 0.04575739272... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | 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": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 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 |
24dd029d08c4f4c30bd0035bbc602db0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [87, 20], "expectation_value": -0.4168811172185189, "params": [[-0.8443, 1.0146, 0.018000000000000002, -0.7503000000000001, 0.0379, 1.0141, -0.3796], [-0.1376, 0.8021, 0.3289, 0.9959, 0.22160000000000002, -0.0152, 0.8718], [-0.6795, 0.1776, 0.2513, -0.5331, -0.6389, 0.3871, 0.6718000000000001], [0.2080000000... | 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)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(2) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6... | 9 | 7 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1101110", "1101011"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h 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(-0.6842160020691636) q[0];
h q[0];
rx(1.5707962407866807) q[1];
h q[1];
rx(2.6084383219861173e-08) q[2];
h q[2];
rx(-0.41... | 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": []} | [
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIZZZII",
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IIIIZZZ",
"IZIIIZZ",
"ZIIIIZZ",
"IZIIZIZ",
"ZIIIZIZ",
"ZZIIIIZ",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"IZI... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
-0.56... | 0.245283 | [
-0.6842160020691636,
1.5707962407866807,
2.6084383219861173e-8,
-0.4133686397029977,
1.36345165497176e-7,
1.5707964047835863,
-0.6200914712120648,
-0.637690696028615,
0.5775369613577384,
-3.961380866809169e-8,
1.5707962657745422,
2.0051918314152446e-7,
0.3790277980716254,
0.506965850450901... | {
"n_parameters": 28,
"n_qubits": 7,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 476 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60859, 60855], "expectation_value": -16.802691414119682, "params": [0.7766000000000001, 0.0171, 0.7811, 0.0074, 0.5305, 0.17600000000000002, 0.2863, 0.29660000000000003, 0.7726000000000001, -0.0031000000000000003, 0.8066, 0.0591, 0.3221, 0.2869, 0.5431, 0.1258, 0.5047, 0.2969, 0.4395, 0.2947, 0.7851, -0.008... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 18 | 16 | 4 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 68.00000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
27e77dc99416ada4c5d281f5cb59d253 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -5.136626532193701, "params": [[[0.0103, 0.0308], [-0.6212, -0.0028], [0.0092, 0.0025], [0.0016, 0.0025], [0.0023, 0.0026000000000000003], [0.0047, -0.0918], [2.1289000000000002, 0.0143]], [[-0.0641, -1.5792000000000002], [0.6173000000000001, -0.0646], [-0.004, -0.0111], [0.003... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 15 | 7 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
a296bf4a8467a546a89302f84310fa30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 4, "source": 2, "target": 3}, {"weight": 20, "source": 3, "targ... | {"states": [442, 186], "expectation_value": -19.0646435854281, "params": [[0.028800000000000003, 0.0025], [-0.0608, -0.0567]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.004897534682803496, 0.00619823745835715], "optimization_time": 5.837461471557617} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02079609897828741) q[0];
cx q[1], q[0];
rz(-1.5510359160524168) q[0];
rx(-1.049082062418527) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.02079609897828741) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.02079609897828741) 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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8,
-2,
23.5,
6.5,
15,
20.5,
9,
16.5,
5
] | 0.970632 | [
-0.02079609897828741,
1.6027801748050579,
-1.5510359160524168,
1.7285300706425282,
-1.5617611290460678,
1.1224687269775335,
1.5717613714268266,
-1.3385969788638588,
1.6882683897198123,
-1.3454953644807968,
-1.0490820624185273,
0.19710993582515887,
0.150016056613286,
-0.2800053757395895,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 48 |
465725d3e11461b4ef58278e08537660 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [138, 330], "expectation_value": -3.663590975936848, "params": [[0.5002, 0.48600000000000004, 0.49610000000000004, 0.1505, 0.20770000000000002, 0.5091, -0.032100000000000004, 0.5018, -0.0263], [0.5033, 0.4763, 0.4984, 0.21810000000000002, 0.14, 0.5072, -0.0256, 0.5053, -0.025400000000000002], [0.499200000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(8) + -0.5 * Z(2) + -1.0 * Z... | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010111", "110110100", "010110101", "100110101", "100010111", "111110000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9528974039091759) q[0];
ry(-0.05167990984123118) q[1];
ry(0.6517116265705357) q[2];
ry(0.0452652621378607) q[3];
ry(-0.2630701383669623) q[4];
ry(0.6920165063851094) q[5];
ry(0.16260908751944708) q[6];
ry(0.8241378971200723) q[7];
ry(0.04528681336043355) q[8];
cz 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": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIZIIII",
"IIIIZIZII",
"ZIIIIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5,
0,
0
] | 0.970255 | [
0.9528974039091759,
-0.05167990984123118,
0.6517116265705357,
0.0452652621378607,
-0.2630701383669623,
0.6920165063851094,
0.16260908751944708,
0.8241378971200723,
0.04528681336043355,
0.3876192846251478,
0.04331051594553967,
0.9622505584884755,
-0.026179642752463057,
0.14975577570863854,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
3ec8817ba1bcb1804df0115ee0df35b6 | 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": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 2, "s... | {"states": [255, 119], "expectation_value": -5.237916063284499, "params": [[-0.2409], [0.2625]], "bitstrings": ["100000000", "110001000"], "total_optimization_steps": 30, "probabilities": [0.015616027458227858, 0.02074881074874156], "optimization_time": 2.940364122390747} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["110001000"], "largest_eigenvalue": 13.25} | 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[0];
rz(-0.027187091284998476) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.027187091284998476) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.06341510274909688) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0056371135829441... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
-1,
-1,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-1,
-1,
-0.25,
-1.75,
-0.75,
1.25,
-1,
-0.5,
-0.25,
-3.25,
1,
0.5,
0.25,
1.75,
1,
-0.5
] | 0.825002 | [
-0.027187091284998476,
-0.06341510274909688,
-0.005637113582944107,
0.03723817608711247,
-0.0006401888434776552,
-1.6422040038365866,
1.5865130748669085,
-1.5739496421420238,
-1.576170216315621,
-1.5745627791929728,
-1.5734189596691968,
1.395978898243742
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 280 |
85cb808fe07a0c64082590bbd70dee50 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [606, 602], "expectation_value": -126.49888041799444, "params": [-0.0027, 0.6872, 0.9937, 0.0407, 0.2597, 0.3821, 0.24430000000000002, 0.1789, 0.9939, -0.0115, 0.1877, -0.23440000000000003, 0.9157000000000001, -0.1686, 0.9700000000000001, 0.14100000000000001, 0.5485, 0.377, 0.9913000000000001, -0.1342, 0.123... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10)... | 4 | 11 | 3 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["10110100101"], "largest_eigenvalue": 255.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.002112967230733162) q[0];
rz(2.3788497753085256) q[0];
rx(1.124201593722317) q[1];
rz(1.348770255740991) q[1];
rx(0.1669617489416254) q[2];
rz(2.2310907173128207) q[2];
rx(0.20616846132066752) q[3];
rz(1.6214629104676153) q[3];
rx(1.3231600018646654) q[4];
rz(1.73... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZIIIIZI",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11.5,
22.5,
15,
-4,
31.5,
21,
4,
11,
22.5,
-3.5,
-11.5
] | 0.970004 | [
0.002112967230733162,
0.8080534485136291,
1.124201593722317,
-0.22202607105390496,
0.16696174894162538,
0.6602943905179243,
0.20616846132066752,
0.05066658367271942,
1.3231600018646654,
0.1627621831301221,
0.14984775067466843,
-0.10153447468302111,
1.0482412615660566,
-0.2371472302932519,
... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -142.5,
"target_ratio": 0.97,
"target_value": -138.225
} | 13 |
532d7b9840f324faf47e567c6a0fdd6f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [71, 7], "expectation_value": -13.471237171376947, "params": null, "bitstrings": ["10111000", "11111000"], "total_optimization_steps": 57, "probabilities": [0.21995113230689498, 0.4738390273566938], "optimization_time": 65.00439977645874} | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h q[7];
... | null | {"node": 4} | {"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[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... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
5e1f1e75ba04327de43b1491321a7511 | 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": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 29.888510942459106} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | 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(1.5708) q[7];\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",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
-8468667259451601143 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [0, 1, 2, 4, 5]]} | {"states": [39, 15], "expectation_value": -0.002777129385614859, "params": [[0.0448], [-0.0345]], "bitstrings": ["011000", "110000"], "total_optimization_steps": 10, "probabilities": [0.015702395494083605, 0.01570239549408361], "optimization_time": 1.485945701599121} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) +... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.5333333333333333, -0.5333333333333333, -0.5333333333333333, -0.5333333333333333, -0.5333333333333333, -0.5333333333333333, -0.5333333333333333, -0.5333333333333333], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5333333333333332, "smallest_bitstrings": ["110000", "100001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.5784825229174911) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.45950434485085084) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.1558859576303986) q[1];
cx q[2], q[1];
rz(0.45950434485085084) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIIIZZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.26666666666666666,
0.26666666666666666,
0.16666666666666666,
0.1,
0.1,
0.1
] | 0.727358 | [
0.5784825229174911,
0.45950434485085084,
0.1558859576303986,
0.522609394222587,
0.9700265496066983,
-0.747115796914454
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -0.5333333333333333,
"target_ratio": 0.97,
"target_value": -0.5173333333333333
} | 145 |
24c6ba1cf87c50d16f783c2bbcb71e4d | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2023, 2047], "expectation_value": -1.3450506741094779, "params": [[0.0763], [-0.08020000000000001]], "bitstrings": ["00000011000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0009412079377714242, 0.0009412079377714246], "optimization_time": 1.9729437828063965} | -2.0 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -1.0 * Z(7) + 1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000000", "00000011000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.192912112352668) q[2];
cx q[3], q[2];
rz(0.1731141572260806) q[2];
rx(-1.0475598942249782) q[2];
rz(0.1731141572260806) q[3];
rx(-1.0475598942249782) q[3];
h q[4];
cx q[4], q[0];
rz(-0.8223775866470733) q[0];
cx 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;
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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.631023 | [
-0.8223775866470733,
-0.5778016806618127,
-1.1178634501934122,
-1.192912112352668,
0.1731141572260806,
-1.0475598942249784
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 166 |
3f15d8a3a52bb3495503dcce203eb5e8 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [61, 60], "expectation_value": -2.932399287618005, "params": [0.0354, -0.24070000000000003, 0.49820000000000003, -0.0011, 0.5058, 0.0024000000000000002, 0.4998, 0.0056, 0.509, 0.0079, 0.063, 0.22160000000000002, 0.4998, 0.020800000000000003, 0.028, -0.2404, 0.49970000000000003, 0.0004, 0.5103, 0.0041, 0.5062... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 4 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000011", "1000110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | 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",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1,
-1.5,
-0.5,
0,
0
] | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
fb55b7f27876f4dd564d8179831c511b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight":... | {"states": [938, 426], "expectation_value": -83.06573183387425, "params": [0.1976, -0.13040000000000002, 0.1995, -0.1447, 0.4964, 0.042800000000000005, 0.49620000000000003, 0.0098, 0.4899, 0.0434, 0.4909, 0.0149, 0.08420000000000001, 0.042100000000000005, 0.08850000000000001, -0.026600000000000002, 0.4973, 0.0567, 0.49... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 11.0 * Z(1) + 4.0 * Z(0) + 19.0 * ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.008892542568430466) q[0];
rz(-0.11384248325058266) q[0];
rx(0.4919661478978042) q[1];
rz(-0.0808676144598266) q[1];
rx(0.2619516652051505) q[2];
rz(0.5512985098230585) q[2];
rx(-0.31451240486600746) q[3];
rz(0.028495620137148236) q[3];
rx(0.6884787263826029) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
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,
11,
4,
19,
1,
11,
15.5,
3.5,
0.5,
11,
3.5
] | 0.97611 | [
-0.008892542568430466,
-0.17674575563982495,
0.49196614789780424,
0.02634522535581639,
0.26195166520515045,
0.42743051038950197,
-0.3145124048660074,
0.023871641211576505,
0.6884787263826031,
-0.06629589891347555,
0.12132226553522966,
-0.44277171422291056,
0.5604772652972058,
-0.1182158825... | {
"n_parameters": 141,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 51 |
c294aee751abb3da4231aed3acad4926 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [127, 15], "expectation_value": -14.574489558091381, "params": [[[0.0024000000000000002, 0.0018000000000000002], [0.0024000000000000002, 0.0002], [-1.6207, 0.0], [0.0023, 0.0027], [0.0024000000000000002, 0.009600000000000001], [0.0024000000000000002, 0.0058000000000000005], [3.1578, 0.0057]]], "bitstrings": ... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) | 2 | 7 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1110000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.020371060664987048) q[0];
rz(-0.17342009814866385) q[0];
rx(-0.020371060664987048) q[1];
rz(0.2500721028556909) q[1];
rx(-2.7196617186976377) q[2];
rz(-0.12113183655586274) q[2];
rx(-0.24985486998822393) q[3];
rz(0.021034433527468643) q[3];
rx(-0.02037106066498704... | 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[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x0) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIIIZZ",
"IIZZIII",
"IZZIIII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-2,
-2,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.980528 | [
-0.020371060664987048,
-0.17342009814866385,
0.2500721028556909,
-2.7196617186976377,
-0.12113183655586274,
-0.24985486998822393,
0.021034433527468643,
-0.020139991053146938,
-0.24095587408755753,
3.264069365972003,
-0.11968505333010837
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 8 |
e69550c833474bf45ede93c29793364e | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [116, 101], "expectation_value": -4.999130267260548, "params": null, "bitstrings": ["0001011", "0011010"], "total_optimization_steps": 34, "probabilities": [0.06552842103604349, 0.9338525494451715], "optimization_time": 28.908462047576904} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010", "0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12756266301791686) q[0];
rz(0.4735655294126939) q[0];
rx(0.7057245043454681) q[1];
rz(0.01739646315227371) q[1];
cx q[1], q[0];
rz(-0.17079390449201795) q[0];
cx q[1], q[0];
rx(-0.09359776567047304) q[0];
rz(0.3946108485469644) q[0];
rz(0.16138507446855765) q[1];
... | 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",
"IIIZIZI",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIIIZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-1,
0
] | 0.977207 | [
-0.12756266301791686,
0.3027716249206759,
0.7057245043454681,
0.01739646315227371,
-0.02127030246383349,
0.4485978116077558,
0.7355465327503719,
0.1720628108444342,
0.5553067573265572,
0.11298983305762661,
0.04772227440995786,
-0.13462033402531828,
-0.05790695997609201,
0.37542508224080573... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 14 |
-3483292901488262061 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [0, 2, 4], [1, 3], [1, 5]]} | {"states": [39, 45], "expectation_value": -0.006894611993711969, "params": [[0.0354], [-0.028300000000000002]], "bitstrings": ["011000", "010010"], "total_optimization_steps": 10, "probabilities": [0.015813336690864703, 0.015813336690864703], "optimization_time": 0.45383286476135254} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(4) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["011000", "010010"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.23314516300498508) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.23314516300498508) q[4];
cx q[3], q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(1.0204006350121293) q[1];
cx q[3], q[1];
rz(0.233145163004985) q[3];
rx(-0.79... | 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x1) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IZZIII",
"IZIZII",
"IIIZIZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0,
0
] | 0.614009 | [
0.23314516300498508,
0.6299947280714575,
1.0204006350121293,
-0.04128639051853561,
-0.7911656934646532
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 140 |
-8849274565359226034 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4, 5], [1, 3], [0, 2, 3, 4]]} | {"states": [47, 15], "expectation_value": -0.7229936040979911, "params": [[[1.4713, 0.0025], [0.6452, 0.0043], [2.8823000000000003, 0.007], [2.684, 0.0018000000000000002], [2.8765, 0.0007], [2.8966000000000003, 0.0045000000000000005]]], "bitstrings": ["010000", "110000"], "total_optimization_steps": 290, "probabilities... | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.07648332216693902) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.02756486956456482) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.07648332216693902) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.07648332216693902)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIZIZI",
"IZZIII",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII",
"IIIIIZ"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.24999999999999994,
0.125,
0.24999999999999994,
0... | 0.787219 | [
-0.07648332216693902,
-0.02756486956456482,
-1.534902620331501,
-1.5009695643482726,
0.00041621475369246405,
0.8599559795931836
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 163 |
fb6267fe9e00f958431b621d7db08da1 | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [11, 1], "expectation_value": -4.752857727781846, "params": null, "bitstrings": ["1110100", "1111110"], "total_optimization_steps": 20, "probabilities": [0.06683590605431504, 0.9171841330013739], "optimization_time": 15.228938102722168} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
cx 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];\nry(-1.5681) 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", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
97a25582d9da2a01a479d6704a1ea86e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [943, 1007], "expectation_value": -12.591205121129759, "params": null, "bitstrings": ["0001010000", "0000010000"], "total_optimization_steps": 100, "probabilities": [0.09724861040218914, 0.512512369848023], "optimization_time": 167.51490879058838} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.8001657332672415) q[0];
h q[1];
ry(0.8339113904806998) q[1];
h q[2];
ry(0.4715393498940401) q[2];
h q[3];
ry(0.2665764535763486) q[3];
h q[4];
cx q[4], q[3];
ry(-0.2665764535763486) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.8001657332672415) q[0];
cx q[3],... | null | {"node": 4} | {"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(1.5706) q[4], 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] = measu... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970309 | [
0.5331529071526973,
1.600331466534483,
1.746019848652486,
1.5523158190483044,
1.5913059170604011,
1.6678227809613997,
0.9430786997880802,
-1.150397691367437,
0.4403470714412182,
0.6565490133659476,
-1.960264392076775,
1.0904811667702412,
-1.2457059423031067,
1.6718008556399764,
0.2986376... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 427 |
-1754167392688722825 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 5, 8, 9, 10], [1, 5, 7, 8, 10], [1, 10, 3, 7], [0, 1, 3, 5, 8], [0, 3, 5, 7, 9], [1, 3, 9], [8, 2, 5], [1, 2, 6, 7], [2, 3, 5, 7], [0, 2, 3, 6, 9], [9, 10, 4]]} | {"states": [2044, 2040], "expectation_value": -1.6319173723263878, "params": [1.5865, -0.0021000000000000003, 1.5898, 0.0004, 1.5843, 0.0021000000000000003, 1.5893000000000002, 0.0025, 1.5881, 0.0024000000000000002, 1.6059, 0.0021000000000000003, 1.5908, 0.0018000000000000002, 1.595, -0.2763, 1.2708000000000002, -0.293... | 0.15000000000000002 * (Z(1) @ Z(6)) + 0.31666666666666665 * (Z(9) @ Z(6)) + 0.15000000000000002 * (Z(9) @ Z(1)) + 0.1 * (Z(10) @ Z(6)) + 0.21666666666666667 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(9)) + 0.1 * (Z(2) @ Z(6)) + 0.18333333333333335 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(9)) + 0.21666666666666667 * (Z(2) @ Z(10)) +... | 4 | 11 | 1 | {"smallest_eigenvalues": [-2.7499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.749999999999999, "smallest_bitstrings": ["00000000111"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6405126243084078) q[0];
rz(1.458311342712566) q[0];
rx(1.789853674775756) q[1];
rz(1.5861463109563303) q[1];
rx(1.9405616771190104) q[2];
rz(1.7686095778199267) q[2];
rx(1.7263172154132553) q[3];
rz(1.5669861836614745) q[3];
rx(2.0061288706997566) q[4];
rz(1.50693... | 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": []} | [
"IIIIZIIIIZI",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"ZIIIZIIIIII",
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"IIIIZIIIZII",
"IIIIIIIIZZI",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIZIZIIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIZII",
"IIIIZIZIIII",
"IIIIIIZIIZI",
"IZIIIIZIIII",
"ZIIIIIZII... | [
0.15000000000000002,
0.31666666666666665,
0.15000000000000002,
0.1,
0.21666666666666667,
0.05,
0.1,
0.18333333333333335,
0.1,
0.21666666666666667,
0.18333333333333335,
0.21666666666666667,
0.05,
0.05,
0.13333333333333333,
0.18333333333333335,
0.3,
0.05,
0.26666666666666666,
0.0... | 0.972841 | [
1.6405126243084078,
-0.11248498408233071,
1.789853674775756,
0.015349984161433142,
1.9405616771190104,
0.1978132510250304,
1.7263172154132553,
-0.0038101431334221884,
2.006128870699756,
-0.06386214311771696,
2.0475887809753575,
2.073291798435199,
-0.07666375812308088,
2.902608347631077,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -2.7499999999999996,
"target_ratio": 0.97,
"target_value": -2.6674999999999995
} | 31 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [10, 5], "expectation_value": -1.74508811874781, "params": [[-0.07930000000000001, -0.06330000000000001, -0.08600000000000001], [0.0809, 0.06380000000000001, 0.0743]], "bitstrings": ["0101", "1010"], "total_optimization_steps": 10, "probabilities": [0.08314832055763008, 0.1596479627250025], "optimization_tim... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
1fd32350c6b58ebe75a7ee0bc05f9883 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [2032, 2035], "expectation_value": -0.37939360186878546, "params": [[-0.0514], [0.0664]], "bitstrings": ["00000001111", "00000001100"], "total_optimization_steps": 10, "probabilities": [0.0006522323407934204, 0.0006696493190704982], "optimization_time": 2.2720282077789307} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000001100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9823172978385183) q[0];
cx q[1], q[0];
rz(-1.5707963045447277) q[0];
rx(1.5707963068411077) q[0];
rz(-1.5707963045447277) q[1];
rx(1.5707963068411077) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(2.853751104430121e-09) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.862365 | [
0.9823172978385183,
2.853751104430121e-9,
-1.5707963045447277,
1.5707963068411077
] | {
"n_parameters": 4,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 119 |
2cd9688dd7e6e70fe4c6359393ef8382 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -0.759065140119504, "params": [[0.044700000000000004, 0.025900000000000003, 0.058100000000000006], [-0.0478, -0.031100000000000003, -0.042]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00328156955076946, 0.00332719416886571], "op... | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2149688734959462) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.13738777750806166) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.23872743880432903) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.137... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
-0.5,
0.75,
-0.75,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
0.75,
-0.75,
1.25,
-1.25,
-1.25,
-0.5,
0.25
] | 0.970521 | [
-0.2149688734959462,
0.4265076445421939,
-0.13738777750806166,
-0.23872743880432903,
-0.3419395562464357,
-0.12748383700911398,
-0.7787600893417008,
-0.6355993014444166,
-0.16756292439520398,
-1.5773406351566481,
-0.5398038495912184,
0.7687771176116346,
-0.2060990217587597,
-0.540792904975... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 230 |
469073a3dfbb565b74d28f502a904685 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [240, 1008], "expectation_value": -1.6373450958502624, "params": [[0.0806], [-0.08610000000000001]], "bitstrings": ["1100001111", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.001790267522382697, 0.001885192263260832], "optimization_time": 4.700285196304321} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000001111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.6446456081366874) q[0];
cx q[1], q[0];
rz(-0.08283326814187042) q[0];
rx(-0.9750937654178632) q[0];
rz(-0.08283326814187042) q[1];
rx(-0.9750937654178632) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.7474231962297074) q[2];
cx q[3], 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;
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[3], q[2];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IZIIIIIIII"... | [
-1,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1.5,
1
] | 0.611814 | [
-1.6446456081366874,
-0.7474231962297074,
-1.1663462090734413,
-0.08283326814187073,
-0.6869258504928027,
-0.9750937654178633
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 177 |
43783f0d102db45430e0e9cc0abd5421 | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -0.30587801607612247, "params": [[0.013800000000000002, 0.056], [-0.0019, -0.0392]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002481250453046733, 0.002482846250278312], "optimization_time": 4.130418300628662} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111010", "111111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01638956768340378) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01638956768340378) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009183088842077993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.009... | 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
-0.25,
-0.75,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1.25,
-1,
-0.25,
2.25,
-0.25,
0,
-0.25,
0.5,
-1,
-1,
0,
-0.25,
0,
2
] | 0.920668 | [
-0.01638956768340378,
0.009183088842077993,
-1.3795631206568821,
-0.00832950686798114,
-0.0024951873495025227,
0.00006676734680895714,
-0.8270233776435318,
-0.2649680470264135,
0.23459580270785552,
-1.490733499004103,
-0.10223196334459035,
-0.028685010435969098,
-1.5457011817943502,
-0.035... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 500 |
fcf2c33f7d587d64646e80e90c95dfee | 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": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -15.429376946179474, "params": [-0.0005, -0.2599, 0.003, -0.2303, 0.0035, -0.2984, 0.0015, -0.2998, 0.40800000000000003, 0.06420000000000001, 0.40390000000000004, 0.004200000000000001, 0.0039000000000000003, -0.2968, 0.0029000000000000002, -0.2898, 0.0505, 0.0945, 0.2626, 0.002... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(9)) + -0.5 * (Z(5)... | 5 | 11 | 2 | {"smallest_eigenvalues": [-18.75, -18.75, -18.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.75, "smallest_bitstrings": ["11000111111", "11011111111", "11010111111"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.07997515220163702) q[0];
rz(-0.5240106629928647) q[0];
rx(0.056098993824155126) q[1];
rz(-0.1300352245700216) q[1];
rx(0.7207245663043277) q[2];
rz(0.04711302789848704) q[2];
rx(-0.06255874142819845) q[3];
rz(-0.134615797483427) q[3];
rx(0.11025687642026274) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIZIIZIIII",
"IIIIIIZZIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIIIIZIIIZI",
"IZIIIZIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIZIZIIIIII",
"IIIIIIIIZ... | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.25,
-1.25,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
2.25,
-0.5,
-2,
-0.25,
-0.25,
2,
-1,
-1,
3,
-2.75,
-0.5,
1,
1.75
] | 0.978761 | [
-0.079975152201637,
-0.4587981013848431,
0.056098993824155126,
-0.20234621043056017,
0.7207245663043278,
0.0212831908075181,
-0.06255874142819845,
-0.20966835227810124,
0.11025687642026274,
-0.053914910586284615,
0.03329985975685941,
-0.4841922701438507,
0.003182298651089552,
-0.3810766663... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 7 |
a09fd8263c85c42edd74a3289977a8b3 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [89, 83], "expectation_value": -3.9991518136789104, "params": null, "bitstrings": ["0100110", "0101100"], "total_optimization_steps": 31, "probabilities": [0.0662083106340674, 0.9331798199285191], "optimization_time": 23.82092046737671} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101000", "0100110", "0101100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4446042738877054) q[0];
h q[1];
ry(-1.512918051750911) q[1];
h q[2];
ry(1.4083247625887707) q[2];
h q[3];
ry(-0.5293131049864891) q[3];
ry(-0.06356997376493063) q[4];
rz(-pi) q[4];
cx q[0], q[4];
ry(0.06807093250432301) q[4];
cx q[0], q[4];
ry(0.04569507312... | 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",
"IIZIIIZ",
"IZIIIZI",
"ZIIIIZI",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
0,
0,
-0.5
] | 0.997461 | [
-1.512918051750911,
-1.439155420525643,
1.4083247625887707,
1.4446042738877054,
-1.0586262099729782,
0.8527889513936574,
-0.5206824694219505,
0.47082154490311495,
-0.373057902669777,
0.1724643384691928,
-0.05455145390818787,
-0.13614186500864603,
0.09139014624875148,
0.11011063072071392,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
2e176b1388169c31718c374b42e0c725 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.3055546147900661, "params": [[0.0674, 0.0625], [-0.07200000000000001, -0.0574]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010911467607603094, 0.011431372614462133], "optimization_time": 2.8055830001831055} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
ced749a911ace56900fad75f3c85d973 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11867, 12123], "expectation_value": -4.707201650189251, "params": [[[1.5772000000000002, 0.0025], [-0.0092, -0.9383], [1.2642, 0.0015], [1.5692000000000002, 0.0022], [1.5719, 0.0023], [0.8706, -0.024200000000000003], [0.15030000000000002, -0.8782000000000001], [1.574, 0.0025], [-0.0024000000000000002, 1.279... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 14 | 2 | {"smallest_eigenvalues": [-5.250000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["01000010100100"], "largest_eigenvalue": 6.750000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rz(-2.9458908744939754) q[0];
ry(3.1320426845157536) q[0];
rz(0.18032309347051978) q[0];
rz(-1.1839532575787326) q[1];
ry(0.05591311117312713) q[1];
rz(-0.07790190858361701) q[1];
rz(0.9349430494937883) q[2];
ry(2.8562499427681716) q[2];
rz(-2.2993862213386613) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIIZIZZ",
"IIIIIIIIIZIIZZ",
"IIIIIIIIIIZZIZ",
"IIIIIIIIIZIZIZ",
"IIIIIIIIIZZIIZ"... | [
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,
0.125,
0.125,
0.125,
0.125,
... | 0.974814 | [
1.8178592060510674,
0.009656502637067656,
-0.06406145942871118,
-1.0437544248064483,
1.589711042417197,
-0.17326637507907966,
1.8640750082343984,
0.10006545605888713,
1.5858971473489523,
0.266110852853213,
1.4370849506648473,
0.11878056544766756,
0.14345036759595903,
-0.7301989898656278,
... | {
"n_parameters": 51,
"n_qubits": 14,
"optimal_eigenvalue": -5.250000000000005,
"target_ratio": 0.97,
"target_value": -5.092500000000005
} | 11 |
adf83a7a772b7f772a66d54f36fd7522 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -5.964095293682891, "params": null, "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 98, "probabilities": [0.10187664978062215, 0.7323710416641575], "optimization_time": 179.03420662879944} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) q... | 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(1.5681) 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",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
d2ab62c933304b5c3d761f042e65d199 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [5741, 1613], "expectation_value": -5.306464933748586, "params": [[-0.1066, -0.1522, -0.117], [0.0536, 0.1652, 0.1506]], "bitstrings": ["0100110010010", "1100110110010"], "total_optimization_steps": 20, "probabilities": [0.0016455950921984742, 0.0017186044290026124], "optimization_time": 13.788234949111938} | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 1 | 13 | 3 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"], "largest_eigenvalue": 24.333333333333336} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.01428808446472929) q[4];
cx q[5], q[4];
rz(0.7076710511306401) q[4];
rx(0.6799700390829646) q[4];
rz(0.7076710511306401) q[5];
rx(0.6799700390829646) q[5];
cx q[5], q[4];
rz(-0.018813340844222627) 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": 5} | {"circuits": [], "gradients": []} | [
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIZIIIZIIIIII",
"IIIZIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IZIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIIZIIIIIII... | [
1,
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,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.4166666666666667,
-0.08333333333333333,
2,
2,
0.5,
-0.5833333333333333,
-0.5,
0.5,
0.5,
-1.08333333333333... | 0.939928 | [
-0.022671081592215675,
0.06161724149777843,
0.005991387157856576,
-0.6387503257619822,
-0.010357105256603799,
0.01428808446472929,
-0.47916225336349694,
0.7655302160406787,
-1.1089908052403838,
-1.436223898761174,
-0.6605812567300683,
0.70767105113064,
0.6799700390829644,
0.042096629996697... | {
"n_parameters": 39,
"n_qubits": 13,
"optimal_eigenvalue": -8.833333333333332,
"target_ratio": 0.97,
"target_value": -8.568333333333332
} | 500 |
92977879d93808800c1e23dcfc7674ef | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.267027662447191, "params": [[[-0.0032, 0.40690000000000004], [0.0025, 0.599], [-0.0029000000000000002, 0.6103000000000001], [0.0025, 0.5702], [-0.0028, 0.6058], [0.0027, 0.5004000000000001], [0.8011, 0.0037]], [[-0.004, 0.006], [0.0025, 0.009000000000000001], [-0.0029000000000... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
1395080614987992643 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6], [0, 8, 7], [6, 7], [1, 3, 5], [4, 5], [1, 2, 7], [8, 6], [2, 6], [8, 4], [4, 6], [0, 3], [0, 1, 4], [8, 2, 3]]} | {"states": [461, 459], "expectation_value": -3.605688120265775, "params": null, "bitstrings": ["000110010", "000110100"], "total_optimization_steps": 70, "probabilities": [0.07079044505623978, 0.7885973345366438], "optimization_time": 160.4664363861084} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000110100"], "largest_eigenvalue": 9.5} | 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[0];
rz(0.07851477751944277) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.07851477751944277) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.07851477751944277) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0... | 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(1.4449) 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] = m... | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"IZIIIIIZI",
"IIIZIZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIIZ",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZIIZI",
"IIZIIIZII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1666666666... | 0.467894 | [
0.07851477751944277,
0.6923669945973953,
0.377945357097207,
-0.7231175366213988
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333346
} | 105 |
1024677089797442003 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [0, 3], [0, 1]]} | {"states": [14, 11], "expectation_value": -1.3449506149011066, "params": null, "bitstrings": ["10001", "10100"], "total_optimization_steps": 27, "probabilities": [0.05537713729470504, 0.7831782156395142], "optimization_time": 15.065727710723877} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01011", "10001", "10100", "01110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.6096472936917894) q[0];
h q[1];
h q[2];
ry(-0.6096472936917894) q[2];
h q[3];
cx q[3], q[0];
ry(0.6096472936917894) q[0];
cx q[3], q[0];
ry(-0.14165459345979656) q[0];
cx q[1], q[0];
ry(0.14165459345979656) q[0];
cx q[1], q[0];
ry(-0.6971780523209621) q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIZII",
"IZIIZ",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIIZ",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972329 | [
-1.2192945873835788,
1.4521835898043336,
-0.2833091869195931,
1.462033439918888,
-0.37917710832921414,
0.09147503275303688,
0.3100295811704278,
-0.6041461106806498,
0.1383644011909834,
-0.0467234848630845,
0.14007241826065672,
-0.42275163477832234,
-0.18606388328062476,
0.0401302850457414,... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 14 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [20, 17], "expectation_value": -6.904566714857111, "params": null, "bitstrings": ["01011", "01110"], "total_optimization_steps": 28, "probabilities": [0.13248903201254356, 0.656043561363698], "optimization_time": 27.169266939163208} | 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) | 16 | 5 | 1 | {"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 ... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
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 |
0b5f0e96c66f1fe8afca6f37edd06ab2 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [73, 22], "expectation_value": -0.3243551937708876, "params": [[-0.060700000000000004], [0.0741]], "bitstrings": ["0110110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.008727301701701076, 0.008911508473472798], "optimization_time": 1.6911792755126953} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 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(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
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,
-1.5,
-1,
-1.5,
-1,
0
] | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
5043903666762505941 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [3, 5], [0, 4]]} | {"states": [60, 52], "expectation_value": -0.8479721957213717, "params": [1.3014000000000001, -0.0371, 1.2959, 0.0097, 1.1341, -0.598, 0.9824, 0.007500000000000001, 1.1195000000000002, -0.6003000000000001, 0.9462, 0.0063, 1.3051000000000001, 0.0324, 1.2855, 0.01, 0.3521, -0.6218, 0.3206, 0.006200000000000001, 1.0733000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "100001", "010011", "001011", "010110", "001110"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.29054547109249873) q[1];
h q[2];
cx q[2], q[1];
ry(0.29054547109249873) q[1];
cx q[2], q[1];
h q[3];
ry(-0.4979423658375405) q[3];
h q[4];
ry(-0.4979423658375405) q[4];
cx q[0], q[4];
ry(0.4979423658375405) q[4];
cx q[0], q[4];
ry(1.348409255100492... | 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",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.972373 | [
-0.995884731675081,
1.2175268336239502,
-0.7906950870086147,
0.8536673874717209,
0.26176484295308533,
-0.3438363219296446,
0.7067700119857723,
-0.4760679204351977,
-0.27911254851335776,
-0.5810909421849975,
0.0368743574672442,
-0.031924580609864465,
0.9070027593329743,
0.12242224322312453,... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 13 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [11, 35], "expectation_value": -0.050372855474751774, "params": [[0.049800000000000004], [-0.0393]], "bitstrings": ["110100", "011100"], "total_optimization_steps": 10, "probabilities": [0.016360364877771927, 0.01636036487777193], "optimization_time": 1.7814900875091553} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -2.840505752109409, "params": [-0.5848, -0.009000000000000001, 0.0035, 0.9626, 0.006500000000000001, -0.7604000000000001, 1.1822000000000001, -0.2625, 0.0028, 1.0414, 1.0453000000000001, 0.0077, -0.5833, -0.0054, 0.0023, 0.9894000000000001, -0.0036000000000000003, -0.738, 1.0245... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 3 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
d3a1bd476861992c14dd2d5f2f135799 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [2044, 2040], "expectation_value": -20.035527921319026, "params": [[[0.0027, 3.1604], [0.0018000000000000002, 0.0024000000000000002], [-0.0031000000000000003, 0.0025], [0.0019, 0.0024000000000000002], [0.0023, 0.002], [0.0026000000000000003, 0.0022], [0.0029000000000000002, -0.003], [0.0022, 0.0025], [1.6442... | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -1.0 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000100", "00000000111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.061653998791970865) q[0];
ry(-0.04380083174058784) q[1];
ry(0.12966888366675272) q[2];
ry(0.07589315511862511) q[3];
ry(0.02392695689012511) q[4];
ry(0.007328513135225895) q[5];
ry(-0.18771133890736294) q[6];
ry(-0.02012338098625122) q[7];
ry(1.6149399796852715) ... | 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIZZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIII... | [
-2,
1,
-2.5,
0.5,
0.5,
-3,
1,
-3,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
-1,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.970283 | [
-0.061653998791970865,
-0.04380083174058784,
0.12966888366675272,
0.07589315511862511,
0.02392695689012511,
0.007328513135225895,
-0.18771133890736294,
-0.02012338098625122,
1.6149399796852715,
-0.04521286975655941,
3.2355913001368326,
-0.004986413971934795,
-0.013966818142928297,
0.035469... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 6 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 22], "expectation_value": -0.4525526782155857, "params": [[0.0766, 0.08170000000000001], [-0.06670000000000001, -0.0805]], "bitstrings": ["110010", "101001"], "total_optimization_steps": 10, "probabilities": [0.022756274119982045, 0.02275627411998206], "optimization_time": 3.689281463623047} | 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(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61437, 61438], "expectation_value": -20.535906456489748, "params": null, "bitstrings": ["0001000000000010", "0001000000000001"], "total_optimization_steps": 100, "probabilities": [0.07492382283023111, 0.5484021995089193], "optimization_time": 1284.8206462860107} | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.999999999999908], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999595, "smallest_bitstrings": ["0001000000000001"], "largest_eigenvalue": 56.2500000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.532218750852081) q[0];
rz(-0.23670284243252127) q[0];
rx(0.3741699073439885) q[1];
rz(0.4934594354813604) q[1];
cx q[1], q[0];
rz(0.3829938625086575) q[0];
cx q[1], q[0];
rz(-1.4402511638052853) q[0];
ry(0.6108400779045863) q[0];
rz(1.9626296906473204) q[0];
rx(-... | null | {"source": 0, "sink": 6} | {"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(0.4397) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIZIIIIIIIIZIIII",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIZIIII",
"IIZIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IZIIIIIIIIZIIIII",
"IIZIIIIIIZIIIIII",
"IIIIIIIIIZIZIIII",
"IZIIIIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIZIIIIIZIIIIIII",
"IIIIIIIIZIIZIIII",
"IZIIIIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIII... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
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0.375,
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0.5,
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-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.978104 | [
-0.5322187508520813,
0.1462910200761373,
0.3741699073439885,
0.4934594354813604,
0.6289236533584328,
-0.00968127929361059,
0.3470593711482598,
-0.01955911238111324,
0.3304506711477374,
0.07680225456727892,
0.4245100485287902,
-0.04433256622829804,
0.47901742355234317,
0.13127803375049976,
... | {
"n_parameters": 204,
"n_qubits": 16,
"optimal_eigenvalue": -20.99999999999988,
"target_ratio": 0.97,
"target_value": -20.369999999999884
} | 1 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -0.6193436018351891, "params": [[0.0738, 0.0721], [-0.081, -0.07390000000000001]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.0862749431296859, 0.09248369478119947], "optimization_time": 1.299574375152588} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h 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] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
ac718ec702dad3d5aab1392624435c47 | 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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [0, 133], "expectation_value": -6.964246784988964, "params": [-0.0045000000000000005, -0.2335, 0.0067, -0.4602, -0.0048000000000000004, 1.2759, -0.002, 1.364, -0.5722, -0.5176000000000001, 0.0176, -0.9148000000000001, 0.0029000000000000002, 0.1792, -0.0039000000000000003, 1.0656, 0.0016, 1.1572, -0.006800000... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + 1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(7) @ ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000001000", "1000000000", "1101111010", "1111111010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.08480437176901356) q[0];
rz(1.1013018470707845) q[0];
rx(0.019320959602861294) q[1];
rz(2.763651183836153) q[1];
rx(-0.7052544024708216) q[2];
rz(0.86887178691752) q[2];
rx(0.050458857297039736) q[3];
rz(1.2919533592950634) q[3];
rx(0.045185345056934986) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IZIIIZIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
1,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
1,
-0.25,
-0.25,
-1.75,
1,
0,
0.25,
0,
-0.25,
0.25
] | 0.970118 | [
0.08480437176901355,
-0.46949447972411207,
0.019320959602861294,
1.1928548570412563,
-0.7052544024708217,
-0.7019245398773759,
0.050458857297039736,
-0.278842967499833,
0.045185345056934986,
1.1729247464213368,
-0.008472686944745532,
0.9853534201087883,
0.029928362242143187,
0.629952961561... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 65 |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [126, 118], "expectation_value": -26.20033040855682, "params": [[0.029900000000000003, -0.0298, -0.0391, 0.0054], [-0.049300000000000004, 0.0162, 0.0584, 0.0574]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011974554479272086, 0.015864219825929803], "optimizat... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) 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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIII... | [
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,
12,
4.5,
23,
19,
16,
3.5,
18.5,
13
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
f6cdf6caae833c575489bb2b7a623058 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [99, 106], "expectation_value": -4.4998837594657655, "params": null, "bitstrings": ["0011100", "0010101"], "total_optimization_steps": 31, "probabilities": [1.641381075984253e-05, 0.9999151790540868], "optimization_time": 20.196823120117188} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
0
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9cd61de466d87c99ffcd4d9aaf27361b | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"sour... | {"states": [251, 248], "expectation_value": -10.91303833702642, "params": null, "bitstrings": ["00000100", "00000111"], "total_optimization_steps": 86, "probabilities": [0.10254473600021598, 0.4720854622064591], "optimization_time": 152.5942771434784} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.19928659443148333) q[1];
h q[2];
ry(0.19928659443148333) q[2];
h q[3];
cx q[3], q[1];
ry(-0.19928659443148333) q[1];
cx q[3], q[1];
ry(1.4028376472425723) q[1];
cx q[1], q[2];
ry(-0.19928659443148333) q[2];
cx q[1], q[2];
ry(1.2198561080294412) q[3]... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], 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] = mea... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-2,
-2,
0.5,
-2.5,
1,
-2,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.970678 | [
0.39857318886296667,
1.0198734767620647,
0.9389887540017249,
1.4028376472425723,
1.3223095358875248,
0.3999652625347528,
0.4556819512819255,
-1.6200427369666102,
-0.9317278884620666,
-0.6458104238159206,
-0.3115638160764419,
-0.26729457089977376,
-0.4777943766016436,
-0.11570648136391645,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 41 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 19.299047708511353} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | 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[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",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
3548e6a53fe7f33eccefb9f4fe0aae2f | 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": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [130, 127], "expectation_value": -4.23134427231056, "params": [[[0.1292, 0.36060000000000003], [-0.0028, -1.1352], [0.0014, 0.0026000000000000003], [-0.0025, -0.0023], [-0.0013000000000000002, -0.0024000000000000002], [-0.0027, 0.0028], [-0.5931000000000001, -0.2826], [1.5230000000000001, -0.2563000000000000... | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 15 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
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": []} | [
"ZIIIIIIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.25,
-1,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.25,
-1,
1.25,
0.75,
-1,
1.25,
0.25
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039135, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 92.13418889045715} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | 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(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
c93c716f35031a09dd851ff3225d4cd1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target": 11}, {"capacity": 2, "source":... | {"states": [2048, 2047], "expectation_value": -13.887490006020045, "params": [[[-0.0034000000000000002, -0.0032], [-0.003, 0.7226], [-0.0028, 0.0031000000000000003], [-0.0027, 0.0024000000000000002], [-0.003, 0.0029000000000000002], [-0.0024000000000000002, 0.002], [-0.0024000000000000002, -0.002], [-0.0024000000000000... | -0.25 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(11)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(9)) + -0.25 * (Z(10)... | 15 | 12 | 3 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.012633202520084187) q[0];
ry(-0.006381050663971797) q[1];
ry(0.009756577754023074) q[2];
ry(0.008489114167213287) q[3];
ry(-0.006381050663971797) q[4];
ry(-0.01303713027359094) q[5];
ry(-0.01303713027359094) q[6];
ry(-0.01303713027359094) q[7];
ry(-0.0141163990159... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"ZIIIZIIIIIII",
"IIIIZIIIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIZIIIIZIIII",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIZIIII",
"IIIIIIZIZ... | [
-0.25,
0.5,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
-1,
-0.25,
0.2... | 0.970015 | [
0.012633202520084187,
-0.006381050663971797,
0.009756577754023074,
0.008489114167213287,
-0.01303713027359094,
-0.014116399015959591,
-1.3199721163058171,
-0.23941586769529793,
-0.009024119243943394,
0.7518049908021331,
0.003942294195832937,
0.009926085825518252,
-0.00665040811093394,
-0.0... | {
"n_parameters": 39,
"n_qubits": 12,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 160 |
7283a352031e45b8333970217c1a0557 | 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": [119, 103], "expectation_value": -61.50133981612965, "params": [0.0015, 0.42460000000000003, -0.0021000000000000003, 0.40900000000000003, 0.7939, -0.004, 0.7897000000000001, 0.0839, 0.3552, 0.2328, 0.2235, 0.2852, 0.7792, 0.013900000000000001, 0.7878000000000001, 0.009300000000000001, 0.7923, 0.0114, -0.0077... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(7)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 12.0 * Z(2) + -2.5 * Z(0) + 12.5 * Z(3) + -1.5 * Z(1) + 9.5 * Z(4) + 15.0 * Z(7) + 4.5 * Z(5) + 7.5 ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["110011000"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.03188951281276475) q[0];
rz(0.2734228641301417) q[0];
rx(-0.011268098998760773) q[1];
rz(0.5552818471030395) q[1];
rx(0.9604122019520965) q[2];
rz(0.06255624969091392) q[2];
rx(0.6709284240094584) q[3];
rz(0.04993868481142463) q[3];
rx(0.06247547397463675) 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] 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 fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZZIII",
"IZIZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
-2.5,
12.5,
-1.5,
9.5,
15,
4.5,
7.5,
10
] | 0.982111 | [
0.03188951281276475,
0.26160274187179827,
-0.011268098998760773,
0.5552818471030395,
0.9604122019520965,
0.06255624969091392,
0.6709284240094584,
0.04993868481142463,
0.06247547397463675,
0.11095189634136686,
0.06480560559150288,
0.27245022124150386,
0.8009620133207289,
0.05139699046923634... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 8 |
d535fd6dace549a08fd67ed2297bdcfa | 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}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"s... | {"states": [7420, 8188], "expectation_value": -16.507737879509506, "params": null, "bitstrings": ["0001100000011", "0000000000011"], "total_optimization_steps": 100, "probabilities": [0.12446707213809657, 0.3724262617941658], "optimization_time": 190.83124113082886} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + ... | 2 | 13 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["0000000000011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.18145808431936816) q[0];
h q[1];
h q[2];
ry(0.0607148262006527) q[2];
cx q[1], q[2];
ry(-0.0607148262006527) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.18145808431936816) q[0];
cx q[2], q[0];
ry(1.2693983482880833) q[1];
cx q[0], q[1];
ry(-1.269398348288083... | null | {"node": 13} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncry(1.5681) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4]... | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZZIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIZIZIIIIIIII",
"IIZZIIIIIIIII",
"IIIZZIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIZII",
"IIIIIIIIZIIII",
"IIIIIIIIIZIII",
"IIIIIIZIIII... | [
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.97045 | [
0.1214296524013054,
0.3629161686387363,
2.5387966965761666,
-0.26256496281494934,
0.6518110897749302,
3.577781617171848,
2.9764419880213318,
-1.5561946858574074,
2.2791739201457486,
1.2413041640066838,
-2.203733920109524,
-1.6136639826941186,
2.9632338396303926,
-0.02428257426691172,
0.0... | {
"n_parameters": 46,
"n_qubits": 13,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 239 |
081a3ef2a02910794db9cb14b9d27e2c | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [12, 17], "expectation_value": -0.587740081590189, "params": [[-0.06430000000000001, -0.067, -0.07740000000000001, -0.0738], [0.0644, 0.0649, 0.0716, 0.0697]], "bitstrings": ["10011", "01110"], "total_optimization_steps": 10, "probabilities": [0.0521336335734461, 0.0521336335734461], "optimization_time": 4.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [207, 239], "expectation_value": -1.7824538596797992, "params": [0.4056, -0.004, 0.40340000000000004, -0.00030000000000000003, 0.39730000000000004, 0.005, 0.0012000000000000001, 0.29660000000000003, 0.4056, -0.0, 0.4088, -0.0019, 0.4031, -0.0007, 0.39930000000000004, -0.0014, 0.3992, -0.0029000000000000002, ... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) 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": 3} | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
f619afa25c1921f996d128a1dfefef72 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.04060390503478918, "params": [[-0.0458], [0.056]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.016269689991522118, 0.016588080064612102], "optimization_time": 1.5423896312713623} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], 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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
dbbbc4d6019a7673182b353b82b6a083 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -17.83648378567949, "params": [0.0033, 0.0041, 0.0025, 0.0034000000000000002, 0.0023, 0.0028, 0.0023, 0.0012000000000000001, 0.0023, 0.007, 0.0023, 0.0095, 0.0025, 0.006500000000000001, 0.0023, 0.0059, 1.6141, 0.0002, 0.007, 0.0081, 0.0051, 0.0033, 0.0079, 0.001, 0.0044, 0.005200... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 3 | 9 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05801375331731248) q[0];
rz(-0.19667350771320535) q[0];
rx(-0.26758040395371646) q[1];
rz(0.07473915815877774) q[1];
rx(-0.10626910776547736) q[2];
rz(-0.11601750393267096) q[2];
rx(-0.10626910776547735) q[3];
rz(-0.43722499528637826) q[3];
rx(-0.10626910776547735)... | 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZIZII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"... | [
-0.5,
-1.25,
-1.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
2.5,
-0.75,
-1.25,
-1,
-0.25,
-1.25,
-1,
-0.75,
-1.75,
-0.5,
-1,
-1.25,
-1.25,
-0.25,
0.25,
0.75,
-2.25,
-1.75,
1,
-0.75,
4.25
] | 0.975557 | [
0.058013753317312476,
-0.028323711234742522,
-0.2675804039537165,
0.07891530781557991,
-0.10626910776547735,
-0.19747719298228392,
-0.4662318719450348,
-0.336699592956925,
0.2868092447884703,
0.1099004908748079,
-0.08929792657699955,
2.858022279518331,
0.08580303488803774,
0.25924196125400... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 6 |
cd09c9fc0c45a235ddacffa85d40c411 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [0, 7], "expectation_value": -6.1945289226896065, "params": [[-0.061900000000000004], [0.07590000000000001]], "bitstrings": ["11111111111", "11111111000"], "total_optimization_steps": 10, "probabilities": [0.00123644161423898, 0.0013018784187389296], "optimization_time": 4.811737060546875} | -4.0 * (Z(0) @ Z(1)) + -4.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["11111111000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3959092347754542) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.3617378298419435) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3959092347754542) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.3959092347754542) q[3];
cx q[1], q[3];
c... | 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[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 ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZI... | [
-4,
-4.5,
-4,
-4,
2,
-3.5,
2,
-4,
-3.5,
-3.5,
-3.5,
-3.5,
1.5,
1,
1,
-4,
1,
1,
0.5,
0.5,
-3,
1,
1,
-4,
1,
-3.5,
0.5,
-3,
-1.5,
0.5,
-1.5,
-3.5,
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
1.5,
0.5,
0.5,
0.5
] | 0.485383 | [
0.3959092347754542,
0.3617378298419435,
0.2495555571669285,
0.5497148081444604,
0.18532131761863854,
0.2294826956475107,
0.26699189785699434,
0.6938540917762349,
1.119061573304744,
1.09786925716313
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 240 |
ffaba4815bf0e67a2be83da1ce70c0be | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {... | {"states": [238, 110], "expectation_value": -25.3733476088346, "params": [[-0.0328, 0.0049], [0.0816, 0.07060000000000001]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.011933249880978039, 0.014390940540744676], "optimization_time": 3.368408441543579} | 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(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0349012653459121) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0349012653459121) q[2];
cx q[0], q[2];
rz(1.372511651455401) q[0];
rx(1.1550885163993503) q[0];
h q[3];
cx q[2], q[3];
rz(0.0349012653459121) q[3];
cx q[2], q[3];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
5,
15,
8.5,
15.5,
17.5,
25.5,
8.5
] | 0.971849 | [
0.0349012653459121,
-1.375125390584539,
1.3725116514554008,
-1.4287899300033384,
1.2895946225666228,
-1.205398916477897,
-1.7835398268220337,
1.1550885163993505,
0.19838963590148706,
-0.1330776885834662,
1.1425666744981,
-0.6695777425615023,
0.9768533727563294,
-0.8054055175533561,
0.233... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 32 |
b344bf11fd2b0d54716c798349481038 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 94], "expectation_value": -68.10619626358229, "params": [0.16590000000000002, 0.6842, 1.0796000000000001, 0.2081, 0.0926, 0.6118, 1.069, -0.006200000000000001, 1.0691000000000002, 0.013600000000000001, 1.0681, 0.0049, 1.0749, -0.1419, 0.4752, -0.232, 0.1399, 0.7251000000000001, 1.0732000000000002, 0.315... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 4.0 * Z(1) + 3.0 * Z(0) + 6.0 * Z(3) + 2.0 * Z(2) + 20.0 * Z(5) + 13.5 * Z(4) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06331162437267966) q[0];
rz(0.804198169022901) q[0];
rx(0.9695558675608814) q[1];
rz(0.1525536178395335) q[1];
rx(0.11225391928623471) q[2];
rz(0.36715906674375476) q[2];
rx(1.1738440315656902) q[3];
rz(0.032249253966819075) q[3];
rx(1.0771063570236428) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
4,
3,
6,
2,
20,
13.5,
15.5,
21.5
] | 0.973244 | [
0.06331162437267966,
0.60787854139514,
0.9695558675608814,
0.1525536178395335,
0.11225391928623471,
0.36715906674375476,
1.1738440315656902,
0.032249253966819075,
1.0771063570236428,
0.2156027422453493,
0.9112833553820555,
0.08038744284119,
0.965725569218815,
-0.2230024439157106,
0.24806... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 6 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [1, 3], "expectation_value": -3.0418064719167406, "params": [[[1.4679, 0.006500000000000001], [0.7841, 0.009600000000000001], [0.7794000000000001, 0.008700000000000001], [1.597, 0.008], [1.5977000000000001, 0.0068000000000000005]]], "bitstrings": ["11110", "11100"], "total_optimization_steps": 160, "probabil... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (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)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], 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[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"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,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
ea4e0759936a839eade2a9fd100fb8a2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [53, 308], "expectation_value": -6.383115352835775, "params": [[0.6451, 0.0025, 0.0026000000000000003, 0.521, 0.5368, -0.0017000000000000001, 0.7866000000000001, 0.0016, 0.6442], [0.6175, 0.0017000000000000001, 0.0049, 0.803, 0.7964, -0.0018000000000000002, 0.7946000000000001, 0.0045000000000000005, 0.6094],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001011", "111001010", "011001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.835184307299284) q[0];
ry(0.20200462894886634) q[1];
ry(0.24138776836029677) q[2];
ry(0.597262171222618) q[3];
ry(0.5011391201324713) q[4];
ry(-0.07617661987009314) q[5];
ry(0.7107034792658222) q[6];
ry(-0.05837113125734539) q[7];
ry(0.466547897271642) q[8];
cz 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2.5,
-1.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.973806 | [
0.835184307299284,
0.20200462894886634,
0.24138776836029677,
0.597262171222618,
0.5011391201324713,
-0.07617661987009314,
0.7107034792658222,
-0.05837113125734539,
0.466547897271642,
0.5100233826020537,
-0.20267362486832402,
-0.17443599129581094,
1.3609322799257177,
0.9770549590725968,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 10 |
2766216575d506af6dd43cf61e47f17c | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [252, 255], "expectation_value": -12.997751730735361, "params": null, "bitstrings": ["100000011", "100000000"], "total_optimization_steps": 100, "probabilities": [0.08383754942023226, 0.423525295688765], "optimization_time": 229.75061011314392} | -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(0.05426043236807844) q[3];
cx q[1], q[3];
ry(-0.05426043236807844) q[3];
cx q[1], q[3];
ry(0.029261669421503156) q[1];
h q[4];
ry(0.05426043236807844) q[4];
cx q[2], q[4];
ry(-0.05426043236807844) q[4];
cx q[2], q[4];
ry(1.612205768211... | null | {"node": 0} | {"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[1], 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... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
1,
-3,
0.5,
-2,
-2.5,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972367 | [
0.10852086473615688,
0.05852333884300631,
-0.24070979454728902,
1.6122057682112825,
0.42412224196161674,
1.1039617725668505,
0.08257027457108222,
0.11355170613822571,
0.26345213116979954,
1.4094817892418559,
0.20171202999971632,
-0.11304598539754435,
-0.08946847958307591,
1.305607034863617... | {
"n_parameters": 57,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 128 |
f4058862d2cc91e963663e2c69858d5f | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 37], "expectation_value": -4.996515624145528, "params": null, "bitstrings": ["0011011", "1011010"], "total_optimization_steps": 26, "probabilities": [0.06700894031405219, 0.9297461660320786], "optimization_time": 21.41738247871399} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"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,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
e0b9c24fb45ae4a4b516382818d3356a | 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": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 888], "expectation_value": -15.196124764462072, "params": [0.5798, 0.2649, -0.40140000000000003, 0.9508000000000001, 0.6332, 0.4995, -0.3831, 0.7457, 0.0071, 0.7224, 0.0057, 0.6282, 0.626, 0.7044, -0.1978, 0.7928000000000001, 0.6409, 0.5444, -0.0521, 1.0443, 0.6617000000000001, 0.8049000000000001, -0.575... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5987397247527203) q[0];
rz(1.5565654866125067) q[0];
rx(1.3414863476265921) q[1];
rz(2.5228131811269066) q[1];
rx(-0.07282720449465764) q[2];
rz(2.321246976446698) q[2];
rx(1.0142480694764038) q[3];
rz(2.7706556272319256) q[3];
rx(0.30758239959314104) q[4];
rz(2.1... | 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... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
-1.5,
-1.5
] | 0.966147 | [
0.5987397247527204,
-0.01423084018238982,
1.341486347626592,
0.9520168543320097,
-0.07282720449465765,
0.7504506496518019,
1.0142480694764036,
1.1998593004370293,
0.30758239959314104,
0.6038592587708639,
1.4201961472795583,
1.5295534632059757,
0.41169821835850856,
0.5074645511839991,
0.1... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
fc603aae74a127a53d7b15155a35177e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 2}, {"weight": 18, "source": 1, "target": 7}, {"weight": 7, "source": 2, "tar... | {"states": [413, 220], "expectation_value": -27.172328560401887, "params": [[0.0313, -0.0037, 0.007], [-0.0742, -0.0572, -0.0616]], "bitstrings": ["001100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.007918413475286965, 0.009635630890139411], "optimization_time": 5.738202095031738} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 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)) + 4.5 * (Z(8) @ Z(2)) + 13.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12600111597027835) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.12600111597027835) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.12600111597027835) q[1];
cx q[0], q[1];
rz(-0.7094581060834471) q[0];
rx(0.06131908867994372) q[0];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
13.5,
5,
15,
12.5,
18,
12,
15,
6.5,
0.5
] | 0.974056 | [
-0.12600111597027835,
1.3067247501817936,
-0.7094581060834483,
1.2847492232068922,
-0.6159332494798558,
1.8244581211638342,
1.4514479566830987,
-0.7129505066649858,
-1.0491840220649427,
0.06131908867994373,
0.0752940319779882,
-0.4954143064920319,
-0.13474376247105507,
0.052450775178995906... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 61 |
a164474259e5355e97f343b76e16607c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [235, 203], "expectation_value": -102.67187887199057, "params": [[[0.5397000000000001, 0.0016], [-0.0016, -0.0021000000000000003], [1.0795000000000001, 0.0637], [0.11180000000000001, 0.06720000000000001], [1.1811, 0.5884], [0.0172, 0.6392], [1.1748, 0.4884], [-0.0347, 0.5195000000000001], [0.2414, 0.46940000... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(8)) + 27.5 * Z(2) + 8.0 * Z(0) + 5.0 * Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["1100110100"], "largest_eigenvalue": 199.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.47790997862644496) q[0];
ry(0.1926867823861581) q[1];
ry(0.929732015970574) q[2];
ry(0.0051660450771488856) q[3];
ry(1.8047395362181295) q[4];
ry(-0.18339679175111295) q[5];
ry(1.3891845642199023) q[6];
ry(-0.03219091965071666) q[7];
ry(0.33351138834291233) 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], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IZIIIIIZII",
"IZIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIZIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
27.5,
8,
5,
20,
0.5,
12,
-1.5,
16.5,
15,
-11.5
] | 0.970771 | [
0.47790997862644496,
0.1926867823861581,
0.929732015970574,
0.0051660450771488856,
1.8047395362181295,
-0.18339679175111295,
1.3891845642199023,
-0.03219091965071666,
0.33351138834291233,
0.78588349207479,
-0.08003119185955908,
-0.029835118725221463,
0.05140223008962196,
0.0945986896372671... | {
"n_parameters": 77,
"n_qubits": 10,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 49 |
dcaf4af6d02916eda9058c67c3edc444 | 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}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [1, 509], "expectation_value": -9.122245187603976, "params": [[[-0.3698, -0.43210000000000004], [-0.2303, -0.5761000000000001], [-0.0043, -0.0211], [0.0025, 0.0014], [0.0024000000000000002, 0.0015], [0.003, 0.0023], [0.0012000000000000001, 0.0027], [0.0032, -0.0028], [0.1961, -0.2733], [-0.20900000000000002,... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4)... | 15 | 10 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.2583719469822462) q[0];
ry(0.1214584341336278) q[1];
ry(-0.11405070225711955) q[2];
ry(0.007749429381486442) q[3];
ry(0.04055674176130558) q[4];
ry(0.018861097006415632) q[5];
ry(0.029622352821727087) q[6];
ry(-0.06075281599518138) q[7];
ry(0.4612964240856349) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
-0.25,
-0.75,
1.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
0.5,
0.5,
0.75,
-0.75,
0.25,
0.25,
0.75
] | 0.972633 | [
-0.2583719469822462,
0.1214584341336278,
-0.11405070225711955,
0.007749429381486442,
0.04055674176130558,
0.018861097006415632,
0.029622352821727087,
-0.06075281599518138,
0.4612964240856349,
-0.14543332744390813,
-0.7626728996111274,
-0.3415854265309427,
-0.006583397971209963,
0.052111512... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 82 |
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": -0.45880919441260487, "params": [[0.057100000000000005, -0.0264, -0.0634], [-0.064, -0.031400000000000004, 0.047]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.039237210916539755, 0.04014646616796773], "optimization_time": 3.30630874633... | -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 ... | 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 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -29.525977838854857, "params": null, "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.0971611053113901, 0.7455589992314589], "optimization_time": 85.99405717849731} | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | null | {"k": 5} | {"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(5.3058) 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",
"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,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
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0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
c0acbd012fdf8058193f775d048e653e | 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": 5}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, ... | {"states": [114, 98], "expectation_value": -3.0516318978953603, "params": [[[0.7055, -0.007200000000000001], [0.9208000000000001, -0.0025], [0.4405, -0.24550000000000002], [0.005200000000000001, 0.6388], [0.0034000000000000002, 0.7345], [1.0035, 0.002], [0.0028, -0.5405]], [[0.7047, -0.007200000000000001], [0.919800000... | 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011101", "0011110", "0101101", "1001101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.8704090545392154) q[0];
ry(2.848906190931529) q[0];
rz(-1.4206045684544053) q[0];
rz(-1.4735059078873218) q[1];
ry(2.8752923172762332) q[1];
rz(1.7333044230897094) q[1];
rz(1.275185488758538) q[2];
ry(0.3582851724053169) q[2];
rz(-2.1115115249935728) q[2];
rz(1.622... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZIIIZ",
"ZZIIIII",
"IIIZIZI",
"IZIIIZI",
"IZIZIII",
"IZIZIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
0,
-0.25,
-0.75,
-1,
-0.25,
-0.5
] | 0.975242 | [
0.7535257276480238,
0.050672717359598066,
1.0582659924978115,
-0.015439424242000541,
0.23713823763746947,
-0.40516121944715133,
0.12741414932752448,
0.5030843814418191,
0.04464051864494524,
1.0245570245569755,
1.0997211195488625,
-0.03754432677860497,
-0.018429576886497965,
-0.418424010707... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
461a504b9826e7d1bfc1c6f1845a3d83 | 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": 4}, {"source": 1, "target": 6}, ... | {"states": [810, 698], "expectation_value": -2.214793445578164, "params": [[[0.1409, -0.1686, 0.0079, 0.0094], [0.26130000000000003, 0.1236, 0.5182, -0.3695], [0.1453, 0.48760000000000003, -0.166, 0.393], [0.0648, 0.3452, 0.1041, 0.16190000000000002], [0.2609, -0.07980000000000001, -0.1467, -0.4495], [-0.0745, -0.2832,... | 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(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011000101", "0010101010", "0010101001", "0011100010", "0100111000", "01010101... | 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... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIIZ",
"IZIZIIIIIZ",
"IZZIIIIIIZ",
"IZZZIIIIII",
"IZZZIIIIIZ"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
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0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.5,
0.25,
0.25,
0.25,
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0.25,
0.25,
0.25,
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0.125,
0,
0,
-0.25,
-0.25,
0,
-0.125,
-0.125,
0.125... | 0.973389 | [
0.03120252051460415,
-0.6684701198601921,
0.47876009748390536,
0.3409262400185791,
0.5169658127997544,
-0.22069112448161554,
0.06422803559439964,
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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 |
209492d0ebde0c4941c69f20876abb8e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 186.51569628715515} | 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(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"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(9.9081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
884324ba5e82ca18b66de7a9e58af5dd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [156, 220], "expectation_value": -3.440753432663533, "params": [0.30060000000000003, 0.0029000000000000002, 0.3025, 0.0023, 0.29610000000000003, -0.0056, 0.29050000000000004, 0.0041, 0.0352, 0.1631, 0.0356, 0.171, 0.30720000000000003, 0.06430000000000001, 0.3078, 0.0099, 0.29910000000000003, -0.001, 0.3074, ... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(6) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(1) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00100011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5142836953036342) q[0];
rz(-0.20076092444461047) q[0];
rx(0.6285864607297802) q[1];
rz(-0.07613269372969451) q[1];
cx q[1], q[0];
rz(0.1416197862532575) q[0];
cx q[1], q[0];
rz(1.646604731530914) q[0];
ry(0.9237051866407429) q[0];
rz(-1.2431779911202416) q[0];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIZII",
"IZZIIIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.97719 | [
0.514283695303634,
-0.05914113819135311,
0.6285864607297802,
-0.07613269372969451,
-0.22094391055891321,
0.19226361108052653,
0.6526538192106669,
0.26991952323019675,
0.33639496677888914,
0.0826047584246382,
0.5703495028911091,
-0.0347957081154945,
0.1271389549069006,
0.35755962525784163,
... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"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}, {"source": ... | {"states": [16, 1], "expectation_value": -23.165746604479676, "params": [[-0.043500000000000004, 0.0016, 0.0108], [0.08, 0.07200000000000001, 0.0683]], "bitstrings": ["101111", "111110"], "total_optimization_steps": 10, "probabilities": [0.04158435202244885, 0.045333875733897085], "optimization_time": 6.418460607528686... | 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... | 11 | 6 | 3 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [10, 3], "expectation_value": -18.815278553265102, "params": [[-0.0441, 0.005200000000000001, 0.006], [0.08070000000000001, 0.0687, 0.0718]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.019353717835679192, 0.021096225282515584], "optimization_time": 6.57216238975... | 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... | 6 | 7 | 3 | {"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(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"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,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
e6f5f7344f65c4a1f156bb9648ed863a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [78, 77], "expectation_value": -5.499144858283865, "params": null, "bitstrings": ["0110001", "0110010"], "total_optimization_steps": 34, "probabilities": [0.06552908063229994, 0.9338662614322454], "optimization_time": 41.59396171569824} | 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(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110010", "0110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1374338262775128) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5141024789065256) q[1];
h q[2];
ry(-1.5141024789065256) q[2];
h q[3];
ry(1.4590942705866212) q[3];
h q[4];
ry(1.4590942705866212) q[4];
h q[5];
ry(-0.5141218154998566) q[5];
h q[6];
cx q[6], q[5];
ry(0.5141218154... | 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",
"IIIZIZI",
"IIIZZII",
"IZIIIZI",
"IZIIZII",
"IIZIIZI",
"ZIIIZII",
"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,
-2,
-0.5,
-2,
-0.5,
-1,
0,
-0.5
] | 0.997421 | [
-1.5141024789065256,
1.4590942705866212,
-1.0282436309997132,
0.7068623946813855,
-0.3995033358839512,
0.5047482531940948,
-0.4899081905812286,
0.27040199392320335,
-0.22448066528365312,
0.21508645779198987,
0.11251527262301743,
0.13551759362693228,
0.036679109681780155,
-0.042493123121424... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
5240d33a4122bb0dd1484dc18fbd6c8b | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [24, 4088], "expectation_value": -19.429173695363346, "params": [[[-0.0025, 0.0007], [-0.0026000000000000003, 0.0058000000000000005], [-0.0022, 0.0004], [-0.0025, 0.0006000000000000001], [-0.0021000000000000003, 0.0095], [-0.002, 0.001], [1.4721, 0.002], [0.0463, 0.0089], [1.7067, 0.003], [0.888, 0.0097], [-... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.14354094622524394) q[0];
rz(-0.36677434269848963) q[0];
rx(-0.03382792821068807) q[1];
rz(0.44470080960283787) q[1];
rx(-0.03421683948623731) q[2];
rz(-0.5271841218532943) q[2];
rx(0.14354094622524394) q[3];
rz(0.5935833705846685) q[3];
rx(0.03786000514143845) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIZIIIII... | [
-2,
-2,
-2,
1,
-2,
-2,
-1,
-2,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.97662 | [
0.14354094622524394,
-0.36677434269848963,
-0.03382792821068807,
0.44470080960283787,
-0.03421683948623731,
-0.5271841218532943,
0.5935833705846685,
0.03786000514143845,
-0.36495994670560383,
-0.10407842832686558,
-0.018982687682841958,
-0.16781694124040963,
-0.0006964731694061449,
0.00236... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 19 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [10, 7], "expectation_value": -1.878244413214229, "params": null, "bitstrings": ["0101", "1000"], "total_optimization_steps": 18, "probabilities": [0.20653887476852636, 0.7080427202478625], "optimization_time": 8.67622971534729} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
75d554aeee06fbf8bfe9226005af8f80 | 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": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [19, 3], "expectation_value": -20.04449153136013, "params": [-0.0031000000000000003, -0.19090000000000001, 0.0045000000000000005, -0.2109, 0.0008, -0.1951, -0.007500000000000001, -0.22710000000000002, -0.0018000000000000002, -0.2247, -0.0021000000000000003, -0.2281, -0.005, -0.1845, 0.0007, -0.2225, -0.00520... | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 5 | 9 | 4 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.006827207457323166) q[0];
rz(-0.23597771216824626) q[0];
rx(-0.09729894997585807) q[1];
rz(-0.01920919706870272) q[1];
rx(-0.14142198156836722) q[2];
rz(-0.5229930792730428) q[2];
rx(-0.043036273190443085) q[3];
rz(-0.2579346393862174) q[3];
rx(0.20157775298869324... | 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",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-1.75,
-0.5,
-1.25,
2.5,
-2.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-1.25,
-1.75,
2.75,
-0.25,
-4.5,
-2.75,
0.75,
-0.25,
0,
1.25,
3
] | 0.97937 | [
-0.0068272074573231655,
-0.20920089964796962,
-0.09729894997585808,
0.055575978225318096,
-0.1414219815683672,
-0.5701909759145707,
-0.04303627319044308,
-0.28259240878201897,
0.20157775298869324,
0.1793225612742884,
-0.04302723281296812,
-0.17848066687116995,
0.17253667000206355,
-0.35147... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 3 |
1434096e59219230a9a448bfa214dbb8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [62, 31], "expectation_value": -0.6977241775308267, "params": [[0.07200000000000001, 0.06760000000000001, 0.0732], [-0.07640000000000001, -0.0568, -0.059500000000000004]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.025927449598280545, 0.028999957891408582], "optim... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.868259722550674, "params": [[[0.0033, 0.3577], [-0.004, 0.2936], [-0.0118, -0.3108], [0.6085, -0.0043]], [[-0.0043, 0.36150000000000004], [0.0004, 0.2926], [-0.008700000000000001, -0.3115], [0.6073000000000001, -0.0043]], [[0.0034000000000000002, 0.0012000000000000001], [-0.00... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | 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.... | 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": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 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 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405621, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 154.07030248641968} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(62.9199) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
bd4c1476c3aa7cafea7811e124c4791d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.4266064390736686, "params": [[0.062200000000000005, 0.0645, 0.0334], [-0.045000000000000005, -0.0636, -0.0402]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008084206389621963, 0.008875596856808183], "optimization_time": 5.2467... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0671841118139862) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.031280402529584396) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11694415727298718) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(0.031280402529584396) ... | 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",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
-0.75,
1.5,
-0.5,
-1,
-1,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1.75,
-0.25,
0.5,
-0.25,
-1.25,
0.5,
-1.25,
0.25
] | 0.936479 | [
-0.0671841118139862,
0.031280402529584396,
-0.20947139556786867,
-0.11694415727298718,
-0.03287291360094323,
1.1816672253993616,
1.1537478745059475,
0.9880219403892836,
1.157821183267566,
-1.6276462451756408,
-0.38641150402430224,
0.1639648636376219,
0.761666511676907,
-0.6557486395688252,... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 500 |
d487f1723f7252240eada99bc7305966 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [454, 710], "expectation_value": -41.79932325141631, "params": [[[1.6033000000000002, 0.0053, 0.0001, 0.007500000000000001], [1.491, 0.0027, 0.8023, 0.0045000000000000005], [1.606, 0.0016, 0.0066, 0.0017000000000000001], [0.37360000000000004, -0.0125, 1.5829, 0.006], [0.37610000000000005, 0.0004, 0.003900000... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 17.0 * Z(2) + 7.0 * Z(0) + 3.5 * Z(1) + 0.5 * Z(4) + -1.5 * Z(3) + -7.0 * Z(6) + 6.0 * Z(7) + 4.0 * Z(9) + 15.0 * Z(8) + -... | 12 | 10 | 1 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.0, "smallest_bitstrings": ["0100111001"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.3374952020207456) q[0];
rz(-0.05505188819781043) q[0];
ry(2.1283860541869304) q[1];
rz(0.015119250592187314) q[1];
cz q[1], q[0];
ry(2.066535067565436) q[1];
ry(3.0646158039827482) q[2];
rz(0.3760842331804451) q[2];
ry(0.29473465836400164) q[3];
rz(-0.543938327824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIIIZII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIZIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
17,
7,
3.5,
0.5,
-1.5,
-7,
6,
4,
15,
-12
] | 0.970583 | [
2.3374952020207456,
-0.05505188819781043,
2.1283860541869304,
0.015119250592187314,
3.0646158039827482,
0.3760842331804451,
0.29473465836400164,
-0.5439383278246304,
-0.09845341426791251,
-0.09373832659436065,
1.218240463085262,
-0.0025679426160415547,
0.5354196398382169,
0.581321888059569... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -92,
"target_ratio": 0.97,
"target_value": -89.24
} | 30 |
cf63e2458a0741acd2ef8c128602eb3a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [11, 67], "expectation_value": -4.996515541748847, "params": null, "bitstrings": ["1110100", "0111100"], "total_optimization_steps": 24, "probabilities": [0.06700896507643245, 0.9297460583131163], "optimization_time": 19.646324157714844} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | 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",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
0
] | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
-2507236489906299470 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 7], [0, 2, 5], [1, 3, 7], [1, 2, 5, 6, 7, 8], [4, 7], [8, 1, 3, 4], [0, 3, 6], [0, 8, 5], [0, 4], [0, 5, 6]]} | {"states": [391, 455], "expectation_value": -0.08367469194479102, "params": [[0.0674], [-0.0625]], "bitstrings": ["001111000", "000111000"], "total_optimization_steps": 10, "probabilities": [0.0021220239289650184, 0.0021264767596977686], "optimization_time": 4.633266448974609} | 0.25 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5833333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.19999999999999998 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(2) @ Z(7)) + 0.25 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4621848785260958) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.24633979025210903) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.5585434712554884) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.4621848... | 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": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIIZIZ",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"... | [
0.25,
0.08333333333333333,
0.5833333333333333,
0.25,
0.08333333333333333,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.25,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.16666666666666666,
0.3333333333333333,
0.1999999999999999... | 0.629581 | [
0.4621848785260958,
-0.24633979025210903,
0.5585434712554884,
0.20372382142248452,
0.1205263602388866,
0.1377878403298757,
0.009281946275014864,
0.11099929083186057,
0.8123780263308221,
0.0020897788715240496,
0.8207887933823867,
0.7417172863617794,
1.477106836149287,
-0.38128955602493486,
... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666665,
"target_ratio": 0.97,
"target_value": -3.071666666666665
} | 365 |
4178432557665061723 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 7], [2, 4, 5], [0, 8, 2, 5], [9, 3, 4, 5], [1, 5, 9], [8, 9, 5, 7], [0, 1, 3, 6], [8, 4, 5], [1, 3, 4], [2, 4, 6, 7], [0, 9, 2], [8, 3, 6, 7]]} | {"states": [765, 637], "expectation_value": -2.3158124270826885, "params": [1.2903, -0.0019, 0.8167000000000001, 0.006200000000000001, 1.1603, 0.0009000000000000001, 0.4808, 0.0076, 1.2886, -0.0037, 1.2901, 0.0058000000000000005, 1.2965, 0.0036000000000000003, 1.2236, 0.0017000000000000001, 1.2942, 0.003600000000000000... | 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["0110000010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.133613222318389) q[0];
rz(1.6086469952412212) q[0];
rx(2.051330927402634) q[1];
rz(1.4950335225851825) q[1];
rx(2.0286885296865984) q[2];
rz(1.6473007979446272) q[2];
rx(2.8379573064105807) q[3];
rz(1.6640827453015863) q[3];
rx(2.9120055885009926) q[4];
rz(1.66408... | 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": []} | [
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IZZIIIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.41666666666666663,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333... | 0.971797 | [
2.133613222318389,
0.037850668446325016,
2.051330927402634,
-0.07576280420971425,
2.0286885296865984,
0.07650447114973045,
2.8379573064105807,
0.09328641850669021,
2.9120055885009926,
0.20867437999361488,
-0.03522225481709555,
2.292043852515969,
-0.12526596028276415,
3.6238494074009213,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -3.333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333347
} | 355 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [437, 252], "expectation_value": -3.1496689355888234, "params": null, "bitstrings": ["001001010", "100000011"], "total_optimization_steps": 66, "probabilities": [0.07857011393965474, 0.6311201347026915], "optimization_time": 155.95971083641052} | 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 | 9 | 4 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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(-1.5158) q[7];\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",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"... | [
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.... | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
92977879d93808800c1e23dcfc7674ef | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.745831462960979, "params": null, "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 16, "probabilities": [0.004146169462670658, 0.9958365055879695], "optimization_time": 9.284486532211304} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | 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[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", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
eba36988c182e1517218a60a482e00a5 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [302, 298], "expectation_value": -4.558286084118702, "params": [[[0.7948000000000001, -0.004200000000000001], [-0.001, -0.41750000000000004], [-0.0033, 0.3881], [0.8062, -0.0038], [-0.0129, -0.37460000000000004], [0.8065, 0.0008], [0.7826000000000001, 0.0037], [0.803, -0.0008], [-0.0023, 0.382]], [[0.7887000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010110", "111010001", "011010101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.267099858892144) q[0];
ry(2.73715963226315) q[0];
rz(-2.1491018261712758) q[0];
rz(0.9794485339936383) q[1];
ry(0.07158027568373979) q[1];
rz(-1.3922248729900153) q[1];
rz(2.581272211666364) q[2];
ry(0.09207152276843192) q[2];
rz(-1.7584256070247324) q[2];
rz(1.234... | 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": []} | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIZZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-2,
-1.5,
-1,
-1,
-1.5,
0
] | 0.970436 | [
1.2175142454653094,
-0.11801806347879927,
-0.13782699581436073,
-0.20083185235930467,
-0.11511822724982476,
0.4459322822745487,
1.671399759724221,
-0.17338415067980986,
0.11816886294868838,
-0.4755391397723471,
1.575293112558728,
0.014866570865143827,
0.35326221340217834,
-0.32846666210949... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 24 |
8279cd0db61f6e93cf46f38518652b50 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"s... | {"states": [8131, 8187], "expectation_value": -15.043345796288131, "params": [2.4484, 0.6868000000000001, -0.014100000000000001, 0.0048000000000000004, -2.4658, -0.664, -0.48960000000000004, 0.5084000000000001, -0.8974000000000001, -0.8152, -0.0228, 0.024, -0.2771, 0.15760000000000002, 0.8923000000000001, 0.7883, -0.00... | -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)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(11) @ Z(12)) + 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... | 14 | 13 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000000000100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.4142166748490554) q[0];
rz(pi/2) q[0];
ry(0.3110752887465795) q[1];
ry(-2.431636266276665) q[2];
ry(-0.7029374139814274) q[3];
ry(-1.4961607353776774) q[4];
ry(0.11085670700160459) q[5];
ry(-0.34087722520193264) q[6];
ry(1.5076329703431735) q[7];
ry(-0.13665644860... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIIIZIIII",
"IIIIIIZIIIIII",
"IIIIZIIIIII... | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-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
] | 0.970798 | [
2.4142166748490554,
0.3110752887465795,
-2.431636266276665,
-0.7029374139814274,
-1.4961607353776774,
0.11085670700160459,
-0.34087722520193264,
1.5076329703431735,
-0.13665644860892992,
-0.5051287100767439,
-0.29122451806723415,
0.8953519728115132,
1.7875105123929163,
-0.1377390372497377,... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 33 |
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