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 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
96ad00ceee3f9c4e7577fb22d2b67779 | 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": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 195.54534220695496} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-23.4164) q[2];
ry(-1.7434) q[4];
ry(49.6318) q[5];
cry(10.2439) q[2], q[5];
ry(-5.9954) q[7];
cry(10.2969) q[2], q[7];
ry(30.866) q[1];
ry(22.5642) q[6];
cry(38.4019) q[2], q[1];
cry(3... | 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(-23.4164) 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] =... |
520b4019fb4986d4ab684733a5ebe8d8 | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -28.837153243403005, "params": [[-0.0409, -0.0034000000000000002, 0.0057, 0.0081], [0.0742, 0.061200000000000004, 0.0558, 0.058]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.012671167969499708, 0.01411270660081453], "optimiza... | 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 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3681) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3681) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3681) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.3681) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
4728709783523296323 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 6], [4, 6], [2, 5], [0, 5], [1, 3], [3, 4], [3, 6], [2, 3], [1, 2], [2, 6], [3, 5], [5, 6]]} | {"states": [54, 38], "expectation_value": -2.1424650645474026, "params": null, "bitstrings": ["1001001", "1011001"], "total_optimization_steps": 51, "probabilities": [0.04670919635056687, 0.6587257431043975], "optimization_time": 54.23638868331909} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001011", "1110100", "1011001", "0110110", "0101010", "1011100", "0100011", "0100110", "1001001", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[5], q[0];
ry(0.7625) q[5];
cry(-0.7068) q[3], q[6];
cry(1.1979) q[5], q[1];
cry(-1.3776) q[1], q[2];
cry(0.3021) q[1], q[5];
cry(-0.7109) q[1], q[0];
ry(0.2973) 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];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
8732464698204845961 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 4, 6], [1, 2, 5], [0, 5], [2, 3, 5], [0, 1, 2], [1, 2, 3], [1, 4, 5]]} | {"states": [51, 47], "expectation_value": -2.278526263382502, "params": null, "bitstrings": ["1001100", "1010000"], "total_optimization_steps": 43, "probabilities": [0.03262123816387917, 0.882391657699489], "optimization_time": 54.143946409225464} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5298) q[1];
cry(-0.7596) q[4], q[2];
ry(0.9488) q[4];
cry(1.1308) q[4], q[3];
cry(-0.9847) q[3], q[2];
cry(0.402) q[1], q[4];
cry(-0.7735) q[5], q[0];
ry(0.9488) q[5];
cry(-0.5988) q[1], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5298) 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", "... |
5002771af8ab63b110804502fc9ce537 | 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": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 5, "source": ... | {"states": [4095, 2047], "expectation_value": -20.254687194113625, "params": [[[0.0019, 0.1155], [-0.0077, -0.002], [-0.0033, -0.0029000000000000002], [0.0047, 0.0028], [-0.0029000000000000002, 0.0029000000000000002], [-0.0011, -0.0027], [0.006200000000000001, 0.0024000000000000002], [0.0068000000000000005, 0.0022], [0... | -0.25 * (Z(0) @ Z(9)) + -0.75 * (Z(11) @ Z(9)) + -0.75 * (Z(11) @ Z(0)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(11)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(1)) + -1.25 * (Z(10) @ Z(5)) + 1.25... | 15 | 12 | 2 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0019) q[0];
ry(-0.0077) q[1];
ry(-0.0033) q[2];
ry(0.0047) q[3];
ry(-0.0029) q[4];
ry(-0.0011) q[5];
ry(0.0062) q[6];
ry(0.0068) q[7];
ry(0.008) q[8];
ry(0.0063) q[9];
ry(-0.0035) q[10];
ry(1.567) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | 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": []} |
7afc16820e80f9ff38487d4737c6b4ad | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 182], "expectation_value": -74.94964842668702, "params": [1.7904, -0.0027, 2.8631, 0.0037, 2.8906, 0.7957000000000001, 2.8791, 0.0034000000000000002, 2.8866, 0.0037, 2.9004000000000003, 1.229, 2.8674, -0.0035, 2.9025000000000003, 0.23500000000000001, 0.4863, 0.0073, -1.7838, 0.2899, 1.8873000000000002,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.7904) q[0];
rz(-0.0027) q[0];
rx(2.8631) q[1];
rz(0.0037) q[1];
rx(2.8906) q[2];
rz(0.7957) q[2];
rx(2.8791) q[3];
rz(0.0034) q[3];
rx(2.8866) q[4];
rz(0.0037) q[4];
rx(2.9004) q[5];
rz(1.229) q[5];
rx(2.8674) q[6];
rz(-0.0035) q[6];
rx(2.9025) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 37.81970429420471} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5486) q[1];
ry(-1.4449) q[4];
ry(1.0341) q[2];
cry(-1.2415) q[6], q[5];
ry(1.2907) q[0];
ry(0.7971) q[6];
cry(-0.6796) q[2], q[5];
cry(1.3184) q[6], q[3];
cry(0.472) q[0], q[2];
cry(0.4452) q[2], 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(-1.5486) 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", ... |
-6589031047479822628 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 7, 9], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 4, 5, 11], [1, 2]]} | {"states": [1823, 1887], "expectation_value": -0.9215767470446703, "params": [0.6972, 0.6917, 1.5008000000000001, 1.4972, 1.491, 1.4864000000000002, 1.357, 1.3371, 0.18180000000000002, 0.1854, 0.8086, 0.8606, 0.6897, 0.6975, 1.3356000000000001, 1.3386, 1.4825000000000002, 1.48, 1.3671, 1.3646, 1.489, 1.4833, 1.3592, 1.... | 0.08333333333333334 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.04242424242424242 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.09242424242424242 * (Z(6) @ Z(0)) + 0.04242424242424242 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(9) @ Z(1)) + 0.04242424242424242 * (Z(9) @ Z(0)) + 0.04242424242424... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0636363636363648], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0636363636363646, "smallest_bitstrings": ["100010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6972) q[0];
ry(1.5008) q[1];
ry(1.491) q[2];
ry(1.357) q[3];
ry(0.1818) q[4];
ry(0.8086) q[5];
ry(0.6897) q[6];
ry(1.3356) q[7];
ry(1.4825) q[8];
ry(1.3671) q[9];
ry(1.489) q[10];
ry(1.3592) q[11];
crz(-0.4038) q[11], q[0];
crz(-0.2228) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [59, 1], "expectation_value": -3.7230894512842565, "params": [[-0.0614, -0.0567, -0.0563, -0.0341], [0.0727, 0.06380000000000001, 0.0687, 0.0589]], "bitstrings": ["1000100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030140440461028546, 0.03396726038285129], "optimization_time": 5.579700... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.1228) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0921) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.1228) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(0.1535) q[1];
cx q[4], q[1];
cx q[3], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8bdb055763aa4a4c3c875ea3955b1837 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [52, 56], "expectation_value": -3.435414677170821, "params": [0.2209, 0.039900000000000005, 0.4904, -0.0014, 0.5081, -0.0006000000000000001, 0.502, 0.00030000000000000003, 0.5018, 0.0009000000000000001, 0.4964, -0.003, 0.0313, -0.2383, 0.1883, -0.1892, 0.222, 0.002, 0.49770000000000003, -0.001700000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110110", "01101011", "11001011", "11010110", "11011100", "01100111", "01110110", "10101011", "11000111", "10100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2209) q[0];
rz(0.0399) q[0];
rx(0.4904) q[1];
rz(-0.0014) q[1];
rx(0.5081) q[2];
rz(-0.0006) q[2];
rx(0.502) q[3];
rz(0.0003) q[3];
rx(0.5018) q[4];
rz(0.0009) q[4];
rx(0.4964) q[5];
rz(-0.003) q[5];
rx(0.0313) q[6];
rz(-0.2383) q[6];
rx(0.1883) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f848d40cbfa43815a8aa73d15a4c0574 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.896151425385047, "params": [0.0028, 0.5863, 0.0024000000000000002, -0.5878, 0.8073, 0.0066, 0.0023, 0.5993, 0.006200000000000001, 0.004, 0.0028, 0.5989, 0.0028, 0.0097, 0.0024000000000000002, 0.0004, 0.8059000000000001, 0.0046, 0.0023, 0.0006000000000000001, -0.0015, 0.0086, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 6 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0028) q[0];
rz(0.5863) q[0];
rx(0.0024) q[1];
rz(-0.5878) q[1];
rx(0.8073) q[2];
rz(0.0066) q[2];
rx(0.0023) q[3];
rz(0.5993) q[3];
rx(0.0062) q[4];
rz(0.004) q[4];
rx(0.0028) q[5];
rz(0.5989) q[5];
crz(-0.5879) q[5], q[0];
crz(0.0052) q[4], q[5];
crz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3554929148838646927 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6, 7], [2, 5, 6], [0, 2, 6, 7], [2, 3, 7], [8, 2, 7], [0, 3, 6], [8, 4, 5, 7], [0, 3, 4], [0, 1, 4, 5, 8], [0, 5, 6], [8, 1, 3, 6], [1, 2, 3, 4, 6], [1, 2, 4, 5]]} | {"states": [341, 489], "expectation_value": -0.15414268443322582, "params": [[-0.0693], [0.0717]], "bitstrings": ["010101010", "000010110"], "total_optimization_steps": 10, "probabilities": [0.0021367043447912924, 0.002140252317275333], "optimization_time": 3.8999297618865967} | 0.18333333333333335 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.23333333333333334 * (Z(4) @ Z(1)) + 0.35 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.183333333333333, "smallest_bitstrings": ["000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(-0.0254) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.037) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0323) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(-0.0485) q[6];
cx q[3], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a5b6f70fa93b6e42b90ae65ce41ed9b5 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"sour... | {"states": [0, 240], "expectation_value": -12.711042873203352, "params": [0.7951, 0.2265, -0.756, 0.0016, -0.8601000000000001, 0.1711, 0.40800000000000003, 0.0059, 0.9385, 0.5824, 0.4209, 0.0058000000000000005, -0.9502, 0.6555000000000001, -0.2346, 0.0016, 0.0041, 1.3474000000000002, -0.0033, 0.004200000000000001, 1.10... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 6 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7951) q[0];
rz(0.2265) q[0];
rx(-0.8601) q[1];
rz(0.1711) q[1];
rx(0.9385) q[2];
rz(0.5824) q[2];
rx(-0.9502) q[3];
rz(0.6555) q[3];
rx(0.0041) q[4];
rz(1.3474) q[4];
rx(1.1033) q[5];
rz(0.3996) q[5];
rx(0.0068) q[6];
rz(1.4733) q[6];
rx(-0.0046) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.16049273778274842, "params": [[-0.0375, -0.0412, -0.0455, -0.043500000000000004], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13842293429017966, 0.154795173773342... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0375) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0187) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0562) q[2];
cx q[0], q[2];
rz(0.0187) q[1];
rz(0.0187) q[0];
rz(-0.0375) q[2];
h q[0];
rz(0.1012) q[0];
h q[0];
h q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 2} | {"circuits": [], "gradients": []} |
752220f968f2aa8877027e3113cc1027 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [38314, 27221], "expectation_value": -0.01828007186056999, "params": [[-0.063], [0.0736]], "bitstrings": ["0110101001010101", "1001010110101010"], "total_optimization_steps": 10, "probabilities": [1.642375133538668e-05, 1.6423751335386686e-05], "optimization_time": 14.827253580093384} | 0.25 * (Z(0) @ Z(1)) + 0.0001953125 * (Z(2) @ Z(0)) + 0.0001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029296875000000004 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + 0.00029296875000000004 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)) + -0.001171875... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999926], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021874999999909, "smallest_bitstrings": ["1001010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0315) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
e0dccd63ccb6f94570f2b46361c692e0 | 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": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [177, 161], "expectation_value": -2.0496821541718844, "params": [[0.3509], [-0.3413]], "bitstrings": ["101001110", "101011110"], "total_optimization_steps": 40, "probabilities": [0.011966109317290143, 0.012021733604437182], "optimization_time": 3.006423234939575} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3509) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.3509) q[1];
cx q[3], q[1];
cx q[2], q[5];
rz(-0.1754) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(-0.3509) q[5];
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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
a65a8f132e9e11ca587f1073a44b14e3 | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -0.3340006325689212, "params": [[-0.043300000000000005], [0.0511]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0024193717961725203, 0.0024798578238806194], "optimization_time": 3.091313600540161} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.065) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0217) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.1083) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0433) q[6];
cx q[0], q[6];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9c2f02be2c499f1518832ddbbd315206 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [171, 169], "expectation_value": -3.170039683594859, "params": [1.0203, -0.0004, -0.0023, 0.7658, 1.0129000000000001, 0.17120000000000002, -0.0033, 0.8159000000000001, 1.0251000000000001, 0.0047, -0.0031000000000000003, 0.7664000000000001, 0.5403, -0.1758, 0.7542, -0.33640000000000003, 1.0134, -0.0002, -0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["01011001", "01110100", "10010110", "01010101", "01010110", "01011100", "11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0203) q[0];
rz(-0.0004) q[0];
rx(-0.0023) q[1];
rz(0.7658) q[1];
rx(1.0129) q[2];
rz(0.1712) q[2];
rx(-0.0033) q[3];
rz(0.8159) q[3];
rx(1.0251) q[4];
rz(0.0047) q[4];
rx(-0.0031) q[5];
rz(0.7664) q[5];
rx(0.5403) q[6];
rz(-0.1758) q[6];
rx(0.7542) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a13dff7348d1aef0dcc3ad8789289a06 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 10}, {"capacity": 2, "source": 2, "target"... | {"states": [1024, 1023], "expectation_value": -18.534461644088072, "params": [[[-0.5372, -0.0013000000000000002], [0.0005, -0.0011], [0.0005, -0.0025], [-0.0048000000000000004, -0.0025], [-0.0019, -0.0022], [-0.0021000000000000003, 0.002], [0.0032, -0.0025], [0.0026000000000000003, -0.0024000000000000002], [-0.00170000... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.25 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(7) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.5372) q[0];
ry(0.0005) q[1];
ry(0.0005) q[2];
ry(-0.0048) q[3];
ry(-0.0019) q[4];
ry(-0.0021) q[5];
ry(0.0032) q[6];
ry(0.0026) q[7];
ry(-0.0017) q[8];
ry(-1.5599) q[9];
ry(-0.0023) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 21.838619232177734} | 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)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
cry(-1.5693) q[3], q[1];
ry(0.9836) q[4];
ry(-0.3652) q[2];
ry(0.7038) q[3];
ry(-0.2773) q[1];
cry(0.2734) q[4], q[3];
cry(-0.1886) q[4], q[1];
cry(-0.1076) q[3], q[2];
cry(0.23... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
26d7f56e59bfdf48052023802b40605b | kclique | adaptive_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}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 27.727179765701294} | 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)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[0];
ry(0.8457) q[3];
ry(-0.3698) q[2];
ry(-0.338) q[0];
cry(0.3839) q[3], q[4];
cry(-0.219) q[3], q[2];
cry(0.3173) q[4], q[3];
cry(-0.2306... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
c2160dfdbad38c3b1811a7e58cf0a6d6 | 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": [746, 618], "expectation_value": -81.27047719583915, "params": [2.8924000000000003, 0.0091, 0.6565000000000001, 0.0068000000000000005, 1.4728, 0.002, 2.9056, 0.0012000000000000001, 2.8996, 0.0009000000000000001, -0.0029000000000000002, 0.006900000000000001, 2.9029000000000003, 0.0055000000000000005, 0.3261, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(8)) + 2.5 * Z(0) + 2.5 * Z(1) + 12.5 * Z(3) + 12.0 * Z(2) + 13.5 * Z(4) + -6.0 * Z(5) + 0.5 * Z(7) + 7.5 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["0110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.8924) q[0];
rz(0.0091) q[0];
rx(0.6565) q[1];
rz(0.0068) q[1];
rx(1.4728) q[2];
rz(0.002) q[2];
rx(2.9056) q[3];
rz(0.0012) q[3];
rx(2.8996) q[4];
rz(0.0009) q[4];
rx(-0.0029) q[5];
rz(0.0069) q[5];
rx(2.9029) q[6];
rz(0.0055) q[6];
rx(0.3261) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [34, 37], "expectation_value": -2.4844732735559742, "params": [0.7853, -0.0167, 0.041600000000000005, 0.5253, 0.0034000000000000002, 1.4437, 0.8831, 0.34140000000000004, 0.5626, 0.5358, 0.6046, 0.5381, 0.7828, -0.004, -0.0117, 0.4723, 0.003, 0.23320000000000002, 0.5537000000000001, 0.4045, 0.4658000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["011010", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.7853) q[0];
rz(-0.0167) q[0];
rx(0.0416) q[1];
rz(0.5253) q[1];
rx(0.0034) q[2];
rz(1.4437) q[2];
rx(0.8831) q[3];
rz(0.3414) q[3];
rx(0.5626) q[4];
rz(0.5358) q[4];
rx(0.6046) q[5];
rz(0.5381) q[5];
crz(1.0601) q[5], q[4];
crz(1.0915) q[4], q[3];
crz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
54167b50cde5b0a7a697521ad53083fa | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"sour... | {"states": [252, 255], "expectation_value": -9.004622967855518, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 100, "probabilities": [0.11993718825807391, 0.4463831867594649], "optimization_time": 175.15020966529846} | -1.5 * (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)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["00000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5706) q[5], q[3];
cry(1.5708) q[3], q[2];
cry(1.2306) q[2], q[5];
cry(0.4422) q[2], q[3];
cry(1.5706) q[1], q[0];
cry(1.5705) q[3], q[4];
cry(1.5486) q[7], q[6];
cry(1.2305) q[6], q[7];
ry(-... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[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] = mea... |
d7c4fa908b682a765170acd95e694c1e | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [57, 27], "expectation_value": -3.999863757294485, "params": null, "bitstrings": ["1000110", "1100100"], "total_optimization_steps": 33, "probabilities": [1.6414531378725664e-05, 0.9999120658881059], "optimization_time": 22.828179597854614} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4417) q[6];
ry(1.4417) q[3];
ry(1.4417) q[2];
ry(1.4417) q[5];
cry(-0.1259) q[6], q[4];
cry(-0.1259) q[5], q[1];
cry(0.1217) q[6], q[3];
cry(0.12... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8429137521408144130 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6], [0, 5, 7], [0, 2], [0, 1, 4], [3, 4, 6], [1, 2, 4], [4, 7], [2, 3, 6], [0, 3], [2, 5, 7], [1, 3, 5], [1, 2, 5], [1, 3, 4]]} | {"states": [113, 60], "expectation_value": -0.08732205334764012, "params": [[-0.0471], [0.0585]], "bitstrings": ["10001110", "11000011"], "total_optimization_steps": 10, "probabilities": [0.004196977718868734, 0.004228078688408254], "optimization_time": 0.8176610469818115} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.166666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(-0.0314) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(-0.0314) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(-0.0314) q[6];
cx q[2], q[6];
cx q[4], q[0];
rz(-0.0157) q[0];
cx q[4], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(x0) q[6];
cx q[... | null | {"circuits": [], "gradients": []} |
edd8e6f0b3009c5ffff5fe612ea653e2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [49, 113], "expectation_value": -4.861141475176755, "params": [[[-0.0097, 0.31720000000000004], [0.533, -0.0426], [0.6034, -0.002], [0.6108, 0.002], [0.5145000000000001, 0.06280000000000001], [-0.0083, 0.32270000000000004], [-0.0187, -0.30910000000000004], [0.6005, -0.0022]], [[-0.0027, 0.3235], [0.5319, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001110", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0097) q[0];
rz(0.3172) q[0];
rx(0.533) q[1];
rz(-0.0426) q[1];
rx(0.6034) q[2];
rz(-0.002) q[2];
rx(0.6108) q[3];
rz(0.002) q[3];
rx(0.5145) q[4];
rz(0.0628) q[4];
rx(-0.0083) q[5];
rz(0.3227) q[5];
rx(-0.0187) q[6];
rz(-0.3091) q[6];
rx(0.6005) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5011041588241054098 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 5, 6], [2, 3, 6, 7], [0, 2, 5, 7], [1, 3, 7], [1, 3, 5]]} | {"states": [250, 207], "expectation_value": -0.5051628294501143, "params": [[0.2609], [-0.2553]], "bitstrings": ["00000101", "00110000"], "total_optimization_steps": 30, "probabilities": [0.0066746706386357916, 0.006683374658067735], "optimization_time": 3.2541284561157227} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["10011000", "01100010", "11001010", "11100000", "00110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(0.087) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.087) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.1305) q[5];
cx q[2], q[5];
cx q[2], q[0];
rz(0.0435) q[0];
cx q[2], q[0];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4],... | null | {"circuits": [], "gradients": []} |
f5111a52f17f533e17f8c384d135402e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [414, 174], "expectation_value": -34.96491987428646, "params": [[-0.032600000000000004, -0.0073, 0.020200000000000003, -0.0021000000000000003], [0.0695, 0.0655, 0.049600000000000005, 0.057100000000000005]], "bitstrings": ["001100001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.00901112... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2934) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2934) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.2934) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2934) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [363, 238], "expectation_value": -0.1529534604416108, "params": [[0.0562, 0.0358, 0.0465], [-0.0553, -0.038200000000000005, -0.0408]], "bitstrings": ["010010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0026894865000654344, 0.0026894865000654366], "optimization_time": 11.97573351860... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0281) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0281) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0281) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0281) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.02534104920541, "params": [[[0.0029000000000000002, 2.4821], [-0.0025, 2.6079000000000003], [1.5690000000000002, 0.001], [-0.0011, 0.00030000000000000003], [-1.0016, 1.0689], [1.568, 0.001], [1.5698, 0.0028]], [[0.0029000000000000002, 0.007200000000000001], [0.0028, 0.0051],... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0029) q[0];
rz(2.4821) q[0];
rx(-0.0025) q[1];
rz(2.6079) q[1];
rx(1.569) q[2];
rz(0.001) q[2];
rx(-0.0011) q[3];
rz(0.0003) q[3];
rx(-1.0016) q[4];
rz(1.0689) q[4];
rx(1.568) q[5];
rz(0.001) q[5];
rx(1.5698) q[6];
rz(0.0028) q[6];
rx(0.0029) q[0];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
e6ced9b23e511440e0771c884d554a1d | 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": [1445, 1189], "expectation_value": -62.861834092407996, "params": [0.7976000000000001, 0.2215, 0.3623, 0.3623, 0.48400000000000004, 0.32530000000000003, 0.7939, 0.1973, 0.5324, 0.3904, 0.8004, 0.19260000000000002, -0.018500000000000003, 0.46840000000000004, -0.010700000000000001, 0.5274, 0.7972, 0.0468, 0.38... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 7.5 * Z(0) + 10.0 * Z(3) + 4.0 * Z(2) + 4.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + 7.0 *... | 18 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["01101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7976) q[0];
rz(0.2215) q[0];
rx(0.3623) q[1];
rz(0.3623) q[1];
rx(0.484) q[2];
rz(0.3253) q[2];
rx(0.7939) q[3];
rz(0.1973) q[3];
rx(0.5324) q[4];
rz(0.3904) q[4];
rx(0.8004) q[5];
rz(0.1926) q[5];
rx(-0.0185) q[6];
rz(0.4684) q[6];
rx(-0.0107) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
5a6de077903f2a4d8f98b28430561316 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [159, 31], "expectation_value": -50.94177096972716, "params": [0.4703, 0.2245, -0.0036000000000000003, -0.4682, -0.0041, -0.48800000000000004, 0.8959, -0.004, 0.9003, 0.010400000000000001, 0.8987, 0.0021000000000000003, 0.8901, 0.054, 0.8937, 0.1625, 0.4692, 0.1857, -0.00030000000000000003, -0.46580000000000... | 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(1) @ Z(4)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 14.0 * Z(3) + 8.0 * Z(0) + 5.5 * Z(4) + -3.5 * Z(1) + 8.5 * Z(5) + -4.0 * Z(2) + 13.0 * Z(6) + 14.5 * Z(7) | 18 | 8 | 3 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4703) q[0];
rz(0.2245) q[0];
rx(-0.0036) q[1];
rz(-0.4682) q[1];
rx(-0.0041) q[2];
rz(-0.488) q[2];
rx(0.8959) q[3];
rz(-0.004) q[3];
rx(0.9003) q[4];
rz(0.0104) q[4];
rx(0.8987) q[5];
rz(0.0021) q[5];
rx(0.8901) q[6];
rz(0.054) q[6];
rx(0.8937) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 87], "expectation_value": -0.38866350379711445, "params": [[0.0723, 0.0545, 0.060200000000000004, 0.0708], [-0.0857, -0.052500000000000005, -0.0463, -0.0553]], "bitstrings": ["11000010", "10101000"], "total_optimization_steps": 10, "probabilities": [0.007966261686308, 0.00796626168630801], "optimization... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0362) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0362) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0362) q[2];
cx q[3], q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.0362) q[1];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3674036597387748127 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 8], [3, 4, 5], [8, 2, 3, 4], [0, 2, 4], [8, 5, 7], [2, 3, 4, 6, 7], [0, 1, 4, 5, 8], [0, 1, 2, 3, 6, 8]]} | {"states": [220, 221], "expectation_value": -1.4141881008262995, "params": [[[1.2225000000000001, 0.008400000000000001], [2.9584, 0.0059], [2.9643, 0.0013000000000000002], [1.2433, 0.0023], [2.8954, 0.0058000000000000005], [2.9555000000000002, 0.0005], [2.8879, 0.0092], [1.33, 0.0082], [1.6254000000000002, 0.0029000000... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.35 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.1833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.05, -2.05], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.016666666666666, "smallest_bitstrings": ["100100010", "011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2225) q[0];
rz(0.0084) q[0];
rx(2.9584) q[1];
rz(0.0059) q[1];
rx(2.9643) q[2];
rz(0.0013) q[2];
rx(1.2433) q[3];
rz(0.0023) q[3];
rx(2.8954) q[4];
rz(0.0058) q[4];
rx(2.9555) q[5];
rz(0.0005) q[5];
rx(2.8879) q[6];
rz(0.0092) q[6];
rx(1.33) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-2356724605130212399 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 7, 8], [0, 2, 3, 4, 6, 7, 8], [0, 1, 3, 4, 7, 8], [0, 1, 2, 3, 5, 7]]} | {"states": [347, 253], "expectation_value": -0.34889043438023015, "params": [[0.4389], [-0.4364]], "bitstrings": ["010100100", "100000010"], "total_optimization_steps": 50, "probabilities": [0.0033220417484755163, 0.0033988065694609444], "optimization_time": 5.342289686203003} | 0.08452380952380953 * (Z(0) @ Z(1)) + 0.05119047619047619 * (Z(2) @ Z(1)) + 0.075 * (Z(2) @ Z(0)) + 0.05119047619047619 * (Z(4) @ Z(1)) + 0.075 * (Z(4) @ Z(0)) + 0.041666666666666664 * (Z(4) @ Z(2)) + 0.05119047619047619 * (Z(5) @ Z(1)) + 0.05119047619047619 * (Z(5) @ Z(0)) + 0.05119047619047619 * (Z(5) @ Z(2)) + 0.017... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.7690476190476192], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.769047619047619, "smallest_bitstrings": ["100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0742) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0449) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0658) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0449) q[4];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-1833601062835940572 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 5, 6], [8, 9, 3, 4], [10, 11], [1, 2, 3, 7, 9, 11], [1, 5], [0, 1, 3, 4, 6, 7], [0, 3, 4, 5, 6, 9], [1, 11, 4], [0, 3, 4, 7, 8, 11], [0, 2, 4, 5, 6, 7], [8, 2, 3], [0, 5, 7, 9, 11], [9, 10, 7], [2, 11, 5, 7], [5, 6, 7, 8, 11], [0, 3, 6, 9, 10], [8, 1... | {"states": [2813, 2797], "expectation_value": -5.279204965897597, "params": [[[3.1442, 0.001], [0.0023, 0.0034000000000000002], [3.1441000000000003, 0.0034000000000000002], [-0.0022, 0.007], [3.1442, 0.0092], [3.1388000000000003, 0.001], [3.1443000000000003, 0.009300000000000001], [4.7391000000000005, 0.0002], [3.1442,... | 0.3333333333333333 * (Z(10) @ Z(5)) + 0.2833333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(10)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.3 * (Z(8) @ Z(10)) + 0.13333333333333336 * (Z(8) @ Z(6)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.21666666666666667 * (Z(9) @ Z(10)) + 0.08333333333333334 * (Z(9) @ ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.433333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.35, "smallest_bitstrings": ["010100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1442) q[0];
rz(0.001) q[0];
rx(0.0023) q[1];
rz(0.0034) q[1];
rx(3.1441) q[2];
rz(0.0034) q[2];
rx(-0.0022) q[3];
rz(0.007) q[3];
rx(3.1442) q[4];
rz(0.0092) q[4];
rx(3.1388) q[5];
rz(0.001) q[5];
rx(3.1443) q[6];
rz(0.0093) q[6];
rx(4.7391) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -1.0731389916801135, "params": [[-0.082], [0.0753]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003231791227833368, 0.003312136145215617], "optimization_time": 2.522585868835449} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.328) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.328) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.328) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.328) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3... | {"node": 0} | {"circuits": [], "gradients": []} |
1be9c57b8eb101bfb59191663daf56af | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [123, 91], "expectation_value": -59.49437356681227, "params": [-0.0027, -0.3769, 0.0033, 0.4545, 0.5938, 0.014100000000000001, 0.38680000000000003, 0.1078, 0.5939, 0.0044, 0.603, 0.0057, 0.3749, 0.14700000000000002, 0.5973, 0.0112, 0.5961000000000001, 0.0016, -0.0007, -0.3886, -0.0004, 0.4677, 0.5973, 0.0223... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 18.5 * Z(2) + -5.0 * Z(0) + 20.0 * Z(5) + 6.0 * Z(3) + 1... | 18 | 9 | 4 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0027) q[0];
rz(-0.3769) q[0];
rx(0.0033) q[1];
rz(0.4545) q[1];
rx(0.5938) q[2];
rz(0.0141) q[2];
rx(0.3868) q[3];
rz(0.1078) q[3];
rx(0.5939) q[4];
rz(0.0044) q[4];
rx(0.603) q[5];
rz(0.0057) q[5];
rx(0.3749) q[6];
rz(0.147) q[6];
rx(0.5973) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
6843859788980291204 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 4, 6], [1, 10, 5, 7], [9, 5], [3, 4, 5], [8, 1, 9], [9, 4], [1, 10, 6, 9], [0, 10, 5], [8, 0], [0, 10, 6], [10, 2, 5, 6], [8, 10, 4, 5], [0, 9, 2, 3], [8, 2, 3, 5], [1, 3, 5], [3, 6], [8, 1, 5, 7], [0, 7], [9, 3, 7], [1, 2, 5], [2, 7]]} | {"states": [1989, 1987], "expectation_value": -4.956517414669538, "params": [1.5752000000000002, 1.5745, 1.5297, 1.6161, 1.5215, 1.6249, 1.5732000000000002, 1.5725, 2.5294000000000003, 0.6201, 2.38, 0.7732, 0.0091, -0.0149, -0.0023, -0.0023, 2.3977, 2.4461, 2.3431, 1.1919, 1.5775000000000001, 1.7508000000000001, -0.609... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.0833333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333331, "smallest_bitstrings": ["00000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5752) q[0];
ry(1.5297) q[1];
ry(1.5215) q[2];
ry(1.5732) q[3];
ry(2.5294) q[4];
ry(2.38) q[5];
ry(0.0091) q[6];
ry(-0.0023) q[7];
ry(2.3977) q[8];
ry(2.3431) q[9];
ry(1.5775) q[10];
crx(-0.6092) q[10], q[0];
crx(0.819) q[9], q[10];
crx(-0.8481) q[8], 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": []} |
71e5bb03712e194188f8d50f4c05cdf8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 108], "expectation_value": -0.5201240854536063, "params": [[0.07440000000000001, 0.0748, 0.0708], [-0.0776, -0.0756, -0.0634]], "bitstrings": ["1100010", "0010011"], "total_optimization_steps": 10, "probabilities": [0.013756072230427203, 0.014394170447529917], "optimization_time": 3.271240472793579} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0744) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(0.0744) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0744) q[1];
cx q[6], q[1];
cx q[1], q[5];
rz(0.0744) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
-7745204400287325471 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [167, 229], "expectation_value": -0.05019597807586518, "params": [0.7917000000000001, 0.12940000000000002, 0.7869, 0.0085, 0.7951, 0.11570000000000001, 0.7886000000000001, 0.0004, 0.7933, 0.0717, 0.7969, 0.0092, 0.7897000000000001, -0.048, 0.7915000000000001, 0.0057, 0.7869, 0.10600000000000001, 0.7871, 0.00... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7917) q[0];
rz(0.1294) q[0];
rx(0.7951) q[1];
rz(0.1157) q[1];
rx(0.7933) q[2];
rz(0.0717) q[2];
rx(0.7897) q[3];
rz(-0.048) q[3];
rx(0.7869) q[4];
rz(0.106) q[4];
rx(0.7912) q[5];
rz(0.1166) q[5];
rx(0.7833) q[6];
rz(0.0838) q[6];
rx(0.7962) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.695030995372196, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 73.69336032867432} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8148) q[5];
cry(-1.5708) q[3], q[0];
ry(0.918) q[3];
cry(-1.5708) q[4], q[2];
ry(0.66) q[4];
ry(-0.4046) q[0];
ry(-0.3102) q[1];
cry(0.3876) q[5], q[3];
cry(0.3681) q[3], q[5];
cry(-... | null | {"k": 3} | {"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(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
1047287188837006597 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4, 5, 7], [8, 2, 4], [0, 1, 3, 5, 8, 9], [0, 4, 5, 7, 8], [0, 1, 2, 4, 6, 9], [1, 7], [1, 3, 4], [2, 3, 6, 7, 8], [0, 2, 3, 5, 7, 8], [0, 3, 6, 7], [8, 9, 2, 5], [3, 4, 6, 7, 8, 9], [0, 3, 4, 6, 9], [8, 9, 5, 7], [2, 3, 5, 7, 9], [1, 2, 3], [0, 1, 4, 5, 6]]} | {"states": [743, 741], "expectation_value": -3.7326301598233713, "params": [1.6779000000000002, 0.0415, 1.338, 0.0026000000000000003, 0.2811, -0.018600000000000002, 0.10070000000000001, 0.0015, 1.6771, 0.0371, 1.3092000000000001, 0.00030000000000000003, 1.6708, 0.0483, 1.3618000000000001, 0.0035, 1.6661000000000001, 0.... | 0.3333333333333333 * (Z(3) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.2 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(4)) + 0.15 * (Z(8) @ Z(3)) + 0.2833333333333333 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(7)) + 0.19999999999999998 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8166666666666655, "smallest_bitstrings": ["0100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6779) q[0];
rz(0.0415) q[0];
rx(0.2811) q[1];
rz(-0.0186) q[1];
rx(1.6771) q[2];
rz(0.0371) q[2];
rx(1.6708) q[3];
rz(0.0483) q[3];
rx(1.6661) q[4];
rz(0.0412) q[4];
rx(0.4986) q[5];
rz(0.0064) q[5];
rx(0.6009) q[6];
rz(-0.0334) q[6];
rx(1.6416) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5721bc29b750ff2e0c5d4fb6d5e7d30b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [7, 31], "expectation_value": -0.598010268908305, "params": [[0.0597], [-0.0599]], "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 10, "probabilities": [0.005296989864635004, 0.005445078850975602], "optimization_time": 1.5122430324554443} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2388) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2388) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.1194) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q... | {"node": 3} | {"circuits": [], "gradients": []} |
031f86bbd0b45f66ab8a2409f4882ab1 | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.655149495191537, "params": [-0.1321, 0.0026000000000000003, -0.12040000000000001, 0.001, -0.0007, 0.1681, 0.0044, 0.1688, -0.0, 0.1583, -0.0004, 0.1631, -0.0013000000000000002, 0.1588, 0.0016, 0.16490000000000002, -0.0043, 0.14500000000000002, 0.009300000000000001, 0.150800000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.1321) q[0];
rz(0.0026) q[0];
rx(-0.0007) q[1];
rz(0.1681) q[1];
rx(0) q[2];
rz(0.1583) q[2];
rx(-0.0013) q[3];
rz(0.1588) q[3];
rx(-0.0043) q[4];
rz(0.145) q[4];
rx(-0.0044) q[5];
rz(0.1026) q[5];
rx(-0.0502) q[6];
rz(0.1075) q[6];
rx(-0.0007) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
c3b80229ae551785c9abf783a87d65e8 | 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": [874, 618], "expectation_value": -88.81963771081136, "params": [-0.0041, 0.0094, 0.1792, 0.0058000000000000005, 2.3103000000000002, 0.0023, 1.5113, 0.0038, 1.0819, 0.007500000000000001, 2.2953, 0.0077, 2.3041, 0.0067, -0.0018000000000000002, 0.0055000000000000005, 2.307, 0.0064, 1.0773000000000001, 0.001, 2.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(11) @ Z(10)) + 15.0 * Z(2) + -2.5 * Z(1) + 5.... | 18 | 12 | 1 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.5, "smallest_bitstrings": ["110110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0041) q[0];
rz(0.0094) q[0];
rx(0.1792) q[1];
rz(0.0058) q[1];
rx(2.3103) q[2];
rz(0.0023) q[2];
rx(1.5113) q[3];
rz(0.0038) q[3];
rx(1.0819) q[4];
rz(0.0075) q[4];
rx(2.2953) q[5];
rz(0.0077) q[5];
rx(2.3041) q[6];
rz(0.0067) q[6];
rx(-0.0018) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 58.89924693107605} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(1.5681) q[6];
ry(1.4449) q[5];
cry(-1.568) q[6], q[0];
cry(-1.448) q[6], q[1];
cry(1.4402) q[5], q[2];
cry(-1.029) q[4], q[3];
cry(0.706) q[6], q[4];
cry(-0.4587) q[6], q[3];
c... | null | {"source": 0, "sink": 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[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[... |
7869297434716503352 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 6], [1, 4], [1, 2], [8, 0], [8, 9], [2, 4], [2, 3], [9, 3], [2, 7], [9, 1], [0, 3], [2, 5], [8, 7], [9, 5], [9, 7], [4, 7], [0, 9]]} | {"states": [179, 163], "expectation_value": -0.2951867474303802, "params": [0.7487, -0.0053, 0.7239, 0.006, 0.7357, 0.1607, 0.7133, 0.0055000000000000005, 0.8854000000000001, 0.15660000000000002, 0.8678, 0.0011, 0.7683, 0.1698, 0.7083, 0.0086, 0.8666, 0.1376, 0.8570000000000001, 0.0039000000000000003, 0.762600000000000... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010110", "0010100011", "1101011100", "1010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7487) q[0];
rz(-0.0053) q[0];
rx(0.7357) q[1];
rz(0.1607) q[1];
rx(0.8854) q[2];
rz(0.1566) q[2];
rx(0.7683) q[3];
rz(0.1698) q[3];
rx(0.8666) q[4];
rz(0.1376) q[4];
rx(0.7626) q[5];
rz(0.1775) q[5];
rx(0.6834) q[6];
rz(-0.1423) q[6];
rx(0.6986) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3514949562079137926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5, 6], [0, 2, 4, 7], [0, 4, 5, 7], [0, 1, 2, 3, 7], [3, 5, 7], [1, 2, 5, 7], [2, 3, 4]]} | {"states": [220, 219], "expectation_value": -0.8799274029553723, "params": [[0.3427], [-0.33]], "bitstrings": ["00100011", "00100100"], "total_optimization_steps": 40, "probabilities": [0.009504652772158007, 0.009560049894838888], "optimization_time": 3.1777188777923584} | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333334, "smallest_bitstrings": ["00100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(0.1714) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.1142) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.1142) q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(0.0571) q[0];
cx q[5], q[0];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
9c1ee192c2f57fe7cc46ca444fd40044 | 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": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.5366564208339875, "params": [[-0.055, -0.0398, -0.061200000000000004, -0.0868], [0.07390000000000001, 0.0441, 0.059500000000000004, 0.0751]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.04452825193501642, 0.05130514908247762], "opti... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.11) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0825) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0825) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0825) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0825) ... | 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": []} |
-1780784873200578641 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6, 8, 9], [0, 2, 3, 4, 6], [2, 3, 5, 6, 7, 9], [0, 1, 4, 5, 7, 8], [0, 5, 6, 7], [0, 2, 3, 5, 8], [1, 5, 6, 7, 9], [1, 2, 3, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9], [0, 2, 6, 7, 8, 9], [0, 1, 2, 6, 9], [1, 3, 4, 5, 6, 7, 8]]} | {"states": [757, 859], "expectation_value": -1.7665341538940156, "params": [[0.3623], [-0.3492]], "bitstrings": ["0100001010", "0010100100"], "total_optimization_steps": 40, "probabilities": [0.0032913404591127854, 0.0033056877498782618], "optimization_time": 5.474343299865723} | 0.175 * (Z(2) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(3)) + 0.09166666666666667 * (Z(4) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(3)) + 0.15833333333333333 * (Z(5) @ Z(2)) + 0.0988095238095238 * (Z(5) @ Z(4)) + 0.16428571428571428 * (Z(6) @ Z(3)) + 0.2238095238095238 * (Z(6) @ Z(2)) + 0.09761904761904762 * (Z(6) @ Z(4... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.5583333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.528571428571428, "smallest_bitstrings": ["0010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[2];
rz(0.1268) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0837) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0664) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.1078) q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c4559e2109a60fa6a7bb29fcc8218635 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [1009, 497], "expectation_value": -1.8554352792680113, "params": [[[0.7728, -0.12300000000000001], [0.9994000000000001, 0.0016], [0.9933000000000001, -0.0007], [0.9978, 0.0015], [0.9877, 0.0023], [0.9964000000000001, 0.0012000000000000001], [0.3554, -0.3351], [0.3562, -0.3274], [0.0027, 0.7198], [0.855200000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["0010100011", "1000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7728) q[0];
rz(-0.123) q[0];
rx(0.9994) q[1];
rz(0.0016) q[1];
rx(0.9933) q[2];
rz(-0.0007) q[2];
rx(0.9978) q[3];
rz(0.0015) q[3];
rx(0.9877) q[4];
rz(0.0023) q[4];
rx(0.9964) q[5];
rz(0.0012) q[5];
rx(0.3554) q[6];
rz(-0.3351) q[6];
rx(0.3562) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a5f43532e1723f6087760e0dbad85b40 | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -7.604549511915898, "params": [[0.0369], [-0.0414]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002999574710734375, 0.0031632304475894568], "optimization_time": 2.2993252277374268} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3321) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.3321) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3321) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.3321) q[2];
cx q[0], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5277137244527799210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [1, 2], [3, 4], [2, 5]]} | {"states": [43, 42], "expectation_value": -0.006089431367790735, "params": [[[1.6261, 0.0043], [1.5087000000000002, 0.003], [1.6121, 0.0059], [1.5182, 0.006500000000000001], [1.6086, 0.0043], [1.5397, 0.0037]]], "bitstrings": ["010100", "010101"], "total_optimization_steps": 170, "probabilities": [0.019301751084478104,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6261) q[0];
rz(0.0043) q[0];
rx(1.5087) q[1];
rz(0.003) q[1];
rx(1.6121) q[2];
rz(0.0059) q[2];
rx(1.5182) q[3];
rz(0.0065) q[3];
rx(1.6086) q[4];
rz(0.0043) q[4];
rx(1.5397) q[5];
rz(0.0037) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} |
-5630324896410027397 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [3, 19], "expectation_value": -1.274475019176333, "params": null, "bitstrings": ["111100", "101100"], "total_optimization_steps": 29, "probabilities": [0.07325995462494178, 0.5480476587441592], "optimization_time": 27.13864278793335} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["000010", "101100", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4449) q[4];
cry(-1.4433) q[4], q[3];
cry(-0.4036) q[2], q[5];
cry(-0.4036) q[1], q[0];
cry(-0.304) q[5], q[2];
ry(-0.1165) q[3];
cry(-0.2713) q[0], q[1];
ry(0.2678) q[1];
cry(-0.2901) q[1], q[2];
cry(0.2588)... | 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(1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
8430149233521890326 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [1, 2, 3, 5], [0, 3, 5], [0, 4, 5], [2, 4, 5], [2, 3, 4]]} | {"states": [58, 7], "expectation_value": -0.025635929071646555, "params": [[0.0468], [-0.0417]], "bitstrings": ["000101", "111000"], "total_optimization_steps": 10, "probabilities": [0.015910281320842844, 0.015941455955335467], "optimization_time": 0.6031923294067383} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(0.0156) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0234) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0078) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.0312) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(0.0156... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1... | null | {"circuits": [], "gradients": []} |
b87e5cfba545cc44bae94201728d3922 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [170, 171], "expectation_value": -5.731001098343546, "params": [[[-0.0021000000000000003, 0.007500000000000001], [0.3788, 0.0005], [1.7137, 0.0047], [-0.0014, 0.0045000000000000005], [1.7121000000000002, 0.0025], [-0.0027, 0.0006000000000000001], [1.7001000000000002, 0.006], [0.3841, 0.0067], [1.6992, 0.0026... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0021) q[0];
rz(0.0075) q[0];
rx(0.3788) q[1];
rz(0.0005) q[1];
rx(1.7137) q[2];
rz(0.0047) q[2];
rx(-0.0014) q[3];
rz(0.0045) q[3];
rx(1.7121) q[4];
rz(0.0025) q[4];
rx(-0.0027) q[5];
rz(0.0006) q[5];
rx(1.7001) q[6];
rz(0.006) q[6];
rx(0.3841) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -0.009584207849680088, "params": [[0.016900000000000002], [-0.020300000000000002]], "bitstrings": ["010101", "001101"], "total_optimization_steps": 10, "probabilities": [0.015753676839548238, 0.01575367683954824], "optimization_time": 1.4924440383911133} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0169) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0169) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0169) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0169) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.0169... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
e98b53e0167756e0364419ca81191dd8 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [7, 120], "expectation_value": -0.0843575103017105, "params": [[-0.019700000000000002, 0.0587], [0.0443, -0.0366]], "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008435731943633866, 0.008509094813875141], "optimization_time": 3.3176047801971436} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0197) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0197) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0197) q[1];
cx q[4], q[1];
cx q[5], q[1];
rz(-0.0197) q[1];
cx q[5], q[1];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
c... | null | {"circuits": [], "gradients": []} |
9c1e6a3980f3bb1dae64cbc435fcdb47 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [112, 124], "expectation_value": -6.766482616999425, "params": null, "bitstrings": ["0001111", "0000011"], "total_optimization_steps": 55, "probabilities": [0.16463211302808517, 0.6295171283799067], "optimization_time": 54.88323998451233} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + -1.5 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["0000011", "0001100", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
cry(1.5706) q[4], q[3];
cry(1.5681) q[2], q[0];
ry(1.0829) q[2];
cry(1.5701) q[0], q[1];
ry(0.3995) q[0];
ry(-1.4449) q[6];
ry(0.4382) q[4];
cry(0.2867) q[0], q[2];
ry(0.1649) q[3];
cry(... | null | {"node": 3} | {"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", ... |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.8381879793710222, "params": [[-0.028900000000000002, 0.0477, 0.0704], [0.0597, -0.0211, -0.0471]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006231664411816749, 0.0062374076762947974], "optimization_time": 5.242608547210693... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0145) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(0.0433) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.0723) q[7];
cx q[0], q[7];
cx q[1], q[5];
rz(0.0578) q[5];
cx q[1], q[5];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [62, 60], "expectation_value": -0.33900721989188276, "params": [[-0.047], [0.056400000000000006]], "bitstrings": ["000001", "000011"], "total_optimization_steps": 10, "probabilities": [0.01824380986613964, 0.01825109732986749], "optimization_time": 1.455237627029419} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.188) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.188) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.141) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.188) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.047) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x1) q[3]... | {"node": 6} | {"circuits": [], "gradients": []} |
6d3ac8777508c3ce14be216c4e1f05a6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [283, 319], "expectation_value": -15.531145330740863, "params": null, "bitstrings": ["1011100100", "1011000000"], "total_optimization_steps": 100, "probabilities": [0.05997984458628444, 0.5069403555480629], "optimization_time": 194.9715027809143} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -3.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[8], q[7];
ry(1.0079) q[8];
cry(1.5708) q[9], q[6];
ry(1.1448) q[9];
cry(1.5709) q[9], q[5];
cry(-0.8868) q[5], q[7];
ry(0.0042) q[7];
cry(0.1156) q[9], q[7];
cry(0.... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[8], 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] = measu... |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"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": [0, 1], "expectation_value": -2.8230954618857917, "params": [[[0.0033, 0.006200000000000001], [0.0027, 0.003], [1.1643000000000001, 0.0027], [1.6074000000000002, 0.0081]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 160, "probabilities": [0.3360902532444325, 0.3615945553031034], "optimizatio... | -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 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0033) q[0];
rz(0.0062) q[0];
rx(0.0027) q[1];
rz(0.003) q[1];
rx(1.1643) q[2];
rz(0.0027) q[2];
rx(1.6074) q[3];
rz(0.0081) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x2) q[2];
rx(x5) q[3];
rz(x6) q[3];
c[0] = measure q... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
01c79553cd838cd252f6e60dedff49e5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -2.343179711355489, "params": [[-0.0629, -0.0771, -0.078], [0.0653, 0.0733, 0.0736]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.012467304527510395, 0.015064429945375504], "optimization_time": 4.896023511886597} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0314) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0629) q[1];
cx q[2], q[1];
cx q[2], q[7];
rz(0.0943) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.0629) q[7];
cx q[0], q[7];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.11809927848215798, "params": [[0.0582], [-0.0472]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.016652640104356943, 0.016996094476579945], "optimization_time": 1.1273283958435059} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0582) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0582) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0582) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0582) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0582... | 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[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... | null | {"circuits": [], "gradients": []} |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.140723414821194, "params": [0.0027, 0.47900000000000004, 0.0025, 0.48100000000000004, 0.0023, 0.4801, 0.0025, 0.5754, 0.0028, 0.5833, -0.0007, 0.1116, 0.0025, 0.5759000000000001, 0.7989, 0.0025, 0.0029000000000000002, 0.0001, 0.0025, 0.0066, 0.0023, 0.002, 0.0025, 0.003100000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 3 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0027) q[0];
rz(0.479) q[0];
rx(0.0025) q[1];
rz(0.481) q[1];
rx(0.0023) q[2];
rz(0.4801) q[2];
rx(0.0025) q[3];
rz(0.5754) q[3];
rx(0.0028) q[4];
rz(0.5833) q[4];
rx(-0.0007) q[5];
rz(0.1116) q[5];
rx(0.0025) q[6];
rz(0.5759) q[6];
rx(0.7989) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
da62bff661bc86873d0aee1ded709754 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [744, 746], "expectation_value": -4.181236020118888, "params": [[[1.5661, 0.0019], [0.0027, -1.1634], [1.5747, -0.0023], [1.5739, 0.0019], [1.5744, -0.0021000000000000003], [0.0031000000000000003, 1.2336], [1.5730000000000002, 0.0021000000000000003], [-0.0025, 1.6161], [0.8439000000000001, 0.0043], [-0.0027,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["0100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5661) q[0];
rz(0.0019) q[0];
rx(0.0027) q[1];
rz(-1.1634) q[1];
rx(1.5747) q[2];
rz(-0.0023) q[2];
rx(1.5739) q[3];
rz(0.0019) q[3];
rx(1.5744) q[4];
rz(-0.0021) q[4];
rx(0.0031) q[5];
rz(1.2336) q[5];
rx(1.573) q[6];
rz(0.0021) q[6];
rx(-0.0025) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0a88b29c6d69b583bcda2e7f0e1608b8 | 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": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -13.624497802459485, "params": [-0.00030000000000000003, -0.09390000000000001, -0.0083, -0.1374, 0.0027, -0.1213, 0.0027, -0.13470000000000001, 0.0022, -0.1557, 0.0043, -0.15080000000000002, 0.0022, -0.1348, 0.0002, -0.1296, 0.0039000000000000003, -0.1431, 0.0021000000000000003, ... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0003) q[0];
rz(-0.0939) q[0];
rx(0.0027) q[1];
rz(-0.1213) q[1];
rx(0.0022) q[2];
rz(-0.1557) q[2];
rx(0.0022) q[3];
rz(-0.1348) q[3];
rx(0.0039) q[4];
rz(-0.1431) q[4];
rx(0.0077) q[5];
rz(-0.1428) q[5];
rx(0) q[6];
rz(-0.1444) q[6];
rx(0.0036) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6484834437226800471 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 6, 7], [0, 5], [3, 5]]} | {"states": [211, 242], "expectation_value": -0.02390335842043311, "params": [[0.0743], [-0.07440000000000001]], "bitstrings": ["00101100", "00001101"], "total_optimization_steps": 10, "probabilities": [0.004103227233509285, 0.004103227233509285], "optimization_time": 2.1286962032318115} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.1 * Z(2) + 0.1 * Z(1) + 0.1 * Z(4) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0074) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0074) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.0074) q[4];
cx q[1], q[4];
cx q[2], q[6];
rz(0.0074) q[6];
cx q[2], q[6];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -11.963909190111853, "params": [[0.0761], [-0.2602]], "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 30, "probabilities": [0.0036681235906774593, 0.003735348433437259], "optimization_time": 3.287700891494751} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[2];
rz(0.0761) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.1522) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.3044) q[3];
cx q[2], q[3];
cx q[2], q[6];
rz(0.0761) q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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[10] c;
qubit[10... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.4094354136724243, "params": [[0.0618, 0.0611, 0.0722], [-0.053500000000000006, -0.053000000000000005, -0.0536]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018015889864035406, 0.019824173290351042], "optimization_time": 4.79313755... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1236) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1236) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0927) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0618) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d41e3eacf3834dd0b9753433ef423092 | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [504, 508], "expectation_value": -10.292398658236637, "params": null, "bitstrings": ["000000111", "000000011"], "total_optimization_steps": 100, "probabilities": [0.16127000220987467, 0.3267416789930431], "optimization_time": 174.49083590507507} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(6)) + -2.5 * (Z(5) @ Z(1)) + 1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[5], q[6];
cry(1.57) q[6], q[1];
cry(0.908) q[1], q[3];
cry(1.5016) q[1], q[4];
cry(-0.0535) q[1], q[5];
cry(-0.0476) q[6], q[5];
ry(-0.1218) q[5];
cry(0.1274) q[4], q[5];
cry... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], q[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... |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [65, 1], "expectation_value": -12.999993510485895, "params": null, "bitstrings": ["0111110", "1111110"], "total_optimization_steps": 19, "probabilities": [6.489458717164528e-07, 0.9999993510435916], "optimization_time": 13.362584114074707} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
cry(-0.0016) q[6], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1642, 1386], "expectation_value": -1.2839907637525263, "params": null, "bitstrings": ["100110010101", "101010010101"], "total_optimization_steps": 100, "probabilities": [0.03787457367909165, 0.490642503860998], "optimization_time": 352.784793138504} | 0.25 * (Z(0) @ Z(1)) + -0.0014030612244897958 * (Z(2) @ Z(0)) + -0.0014030612244897958 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002551020408163265 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.0002551020408163265 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0003826... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5147959183673474, -1.5147959183673474], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(-0.595) q[6], q[7];
cry(-0.5954) q[10], q[11];
cry(-0.595) q[3], q[2];
cry(-0.5949) q[8], q[9];
cry(-0.5943) q[5], q[4];
cry(-0.5936) q[1], q[0];
cry(-0.376... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] 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];\ncry(-0.595) 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] = measure... |
b25c0178baebce4bd0226f17c2701e5a | 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": [1320, 1336], "expectation_value": -147.8483379140794, "params": [[0.0022, 0.6288, 0.0653, 0.6395000000000001, -0.053500000000000006, 0.059000000000000004, 0.7921, 0.004200000000000001, 0.7893, 0.0037, -0.0013000000000000002, -0.22240000000000001], [0.0019, 0.6309, 0.07400000000000001, 0.6421, -0.0609, -0.01... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(3) @ Z(1)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(7) @ Z(2)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(8) @ Z(4)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(5) @ Z(8)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(3)) + 8.5 * (Z(11) @ Z(6)) + 2.5 * Z(2... | 10 | 12 | 4 | {"smallest_eigenvalues": [-172.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -148.5, "smallest_bitstrings": ["101011000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0022) q[0];
ry(0.6288) q[1];
ry(0.0653) q[2];
ry(0.6395) q[3];
ry(-0.0535) q[4];
ry(0.059) q[5];
ry(0.7921) q[6];
ry(0.0042) q[7];
ry(0.7893) q[8];
ry(0.0037) q[9];
ry(-0.0013) q[10];
ry(-0.2224) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
91b3425767d7686611171398f417493f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 4, "source": 1, "target": 7}, {"capac... | {"states": [319, 511], "expectation_value": -12.536904375577615, "params": null, "bitstrings": ["1011000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.11326343358668033, 0.6595078353356596], "optimization_time": 246.1247432231903} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(9)) + -1.25 * (Z(3) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[3], q[2];
cry(1.57) q[6], q[4];
ry(1.103) q[6];
cry(1.5708) q[4], q[5];
cry(1.1348) q[5], q[3];
cry(1.5708) q[6], q[1];
cry(1.5708) q[1], q[8];
cry(0.6037) q[5], q[... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], 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] = measu... |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.15855172624477104, "params": [[0.0658, 0.07300000000000001], [-0.0687, -0.07300000000000001]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.03779055446501813, 0.03779055446501814], "optimization_time": 2.7682418823242188} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(0.0658) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0329) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0329) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0329) q[1];
cx q[4], q[1];
cx q[4], q[1];
cx q[1], q[0];
rz... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
c564307a23461b97da6b6966b1ccdaf8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [11950, 12014], "expectation_value": -2.182408630326816, "params": [[1.5858, 0.278, 1.5832000000000002, 0.20170000000000002, 1.5851000000000002, 0.1889, 1.5810000000000002, -0.0004, 1.5838, -0.0013000000000000002, 1.5810000000000002, 0.1424, 1.5812000000000002, 0.1942], [1.5812000000000002, 1.0966, 1.5790000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.03125 * ... | 10 | 14 | 1 | {"smallest_eigenvalues": [-4.156250000000012], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.156250000000001, "smallest_bitstrings": ["01000100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(1.5858) q[0];
ry(0.278) q[1];
ry(1.5832) q[2];
ry(0.2017) q[3];
ry(1.5851) q[4];
ry(0.1889) q[5];
ry(1.581) q[6];
ry(-0.0004) q[7];
ry(1.5838) q[8];
ry(-0.0013) q[9];
ry(1.581) q[10];
ry(0.1424) q[11];
ry(1.5812) q[12];
ry(0.1942) q[13];
cz q[13], q[12];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
96aa688a41503b0eea4bda42198f6281 | 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": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -29.141179963232613, "params": [[0.0229, 0.0051, -0.0095], [-0.07740000000000001, -0.0805, -0.0644]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.007026107256473752, 0.009467953669723294], "optimization_time": 6.67441248893737... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2061) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2061) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2061) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
1a8155b224db54664a68f055f033253f | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [61367, 60855], "expectation_value": -14.666525805082898, "params": [[[3.1616, 0.009600000000000001], [1.8332000000000002, 0.0071], [2.9111000000000002, 0.0073], [1.4418, 0.0021000000000000003], [3.1607000000000003, 0.0081], [3.1618, 0.0067], [1.5679, 0.0017000000000000001], [1.6303, 0.0046], [3.1618, 0.002]... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-18.499999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.499999999999947, "smallest_bitstrings": ["0001001001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1616) q[0];
rz(0.0096) q[0];
rx(1.8332) q[1];
rz(0.0071) q[1];
rx(2.9111) q[2];
rz(0.0073) q[2];
rx(1.4418) q[3];
rz(0.0021) q[3];
rx(3.1607) q[4];
rz(0.0081) q[4];
rx(3.1618) q[5];
rz(0.0067) q[5];
rx(1.5679) q[6];
rz(0.0017) q[6];
rx(1.6303) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} |
-3726085232856850327 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5, 8], [0, 6, 7], [8, 5, 7], [5, 6], [2, 6]]} | {"states": [378, 506], "expectation_value": -0.9007231648964514, "params": [[0.6739], [-0.3985]], "bitstrings": ["010000101", "000000101"], "total_optimization_steps": 70, "probabilities": [0.009297166974529935, 0.009340321630215736], "optimization_time": 2.591459035873413} | 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8666666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(0.0674) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0674) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0674) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.0674) q[5];
cx q[3], q[5];
... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | null | {"circuits": [], "gradients": []} |
b4d49656bffdf06123a6759fe750c954 | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -18.64029873635895, "params": [-0.0363, 0.0009000000000000001, 0.052700000000000004, 0.0034000000000000002, 0.0021000000000000003, 0.5650000000000001, 0.0022, 0.0078000000000000005, 0.013800000000000002, 0.0031000000000000003, -0.0083, 0.0054, 0.8081, 0.0039000000000000003, 0.8... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.75 * (Z(11) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0363) q[0];
rz(0.0009) q[0];
rx(0.0021) q[1];
rz(0.565) q[1];
rx(0.0138) q[2];
rz(0.0031) q[2];
rx(0.8081) q[3];
rz(0.0039) q[3];
rx(0.0017) q[4];
rz(0.5965) q[4];
rx(-0.0033) q[5];
rz(0.2723) q[5];
rx(0.0039) q[6];
rz(0.3945) q[6];
rx(0.0095) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
410de2f5e7b085a9584492471fcec789 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [156, 140], "expectation_value": -6.242049781975992, "params": [0.0028, -0.0005, 0.30410000000000004, 0.3015, -0.015300000000000001, -0.0151, 0.0089, 0.012100000000000001, 0.22010000000000002, 0.2209, 0.2964, 0.3044, 0.3012, 0.3014, 0.0273, 0.031100000000000003, 0.1579, 0.1572, -0.0029000000000000002, 0.0005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.5, "smallest_bitstrings": ["111011010", "101110011", "101111001", "110111001", "101100111", "101111010", "111010011", "101101110", "101101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0028) q[0];
ry(0.3041) q[1];
ry(-0.0153) q[2];
ry(0.0089) q[3];
ry(0.2201) q[4];
ry(0.2964) q[5];
ry(0.3012) q[6];
ry(0.0273) q[7];
ry(0.1579) q[8];
crx(-0.0128) q[8], q[0];
crx(0.0387) q[7], q[8];
crx(-0.0737) q[6], q[7];
crx(0.2637) q[5], q[6];
crx(0.09... | 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] 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 flo... | null | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.5511919351829138, "params": [[-0.0526], [0.06470000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0049818126732412435, 0.0050507091668283354], "optimization_time": 2.000000238418579} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.0263) q[0];
cx q[7], q[0];
cx q[6], q[1];
rz(0.1315) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(0.1052) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.0789) q[3];
cx q[6], q[3];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-8429544682563830600 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 3], [2, 6]]} | {"states": [11, 43], "expectation_value": -1.2129697647059166, "params": null, "bitstrings": ["1110100", "1010100"], "total_optimization_steps": 45, "probabilities": [0.12583381157976115, 0.5773052971205751], "optimization_time": 39.51294255256653} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[0];
cry(-1.0342) q[6], q[2];
ry(0.7003) q[6];
ry(0.7003) q[3];
ry(-0.4549) q[0];
ry(-0.4549) q[2];
cry(0.4578) q[3], q[6];
cry(0.4515) q[6], q[3];
ry(0.7604) q[5];
cry(-0.3537) q[6], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\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];\nc[5] = measure q[5];\nc[6] = measure q[6... |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 80.27398109436035} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.0463) q[6];
ry(-0.5109) q[0];
cry(1.5683) q[6], q[5];
ry(1.5688) q[4];
cry(0.2799) q[5], q[6];
cry(1.4916) q[3], q[1];
cry(1.0507) q[6], q[3];
cry(0.5192) 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(-1.5708) 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", ... |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 14.307186365127563} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[2], q[4];
cry(-0.14... | 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... |
9da2cb4f7363108a1ea14732d542ebf4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [98, 100], "expectation_value": -8.553590846636407, "params": [0.5874, 0.5832, -0.0117, -0.0079, 0.0006000000000000001, 0.0073, 0.8108000000000001, 0.8083, 0.7959, 0.8028000000000001, 0.0086, 0.056900000000000006, -0.0058000000000000005, -0.0026000000000000003, 0.8008000000000001, 0.7989, 0.7902, 0.8002, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(7) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -9.0, "smallest_bitstrings": ["0101111011", "1011101110", "1110011101", "0110111011", "1010011111", "0110111101", "1110011011", "1101110011", "1111101100", "1111... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5874) q[0];
ry(-0.0117) q[1];
ry(0.0006) q[2];
ry(0.8108) q[3];
ry(0.7959) q[4];
ry(0.0086) q[5];
ry(-0.0058) q[6];
ry(0.8008) q[7];
ry(0.7902) q[8];
ry(-0.007) q[9];
crx(0.445) q[9], q[0];
crx(-0.005) q[8], q[9];
crx(-0.6095) q[7], q[8];
crx(0.5653) 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": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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": 2, "target"... | {"states": [2, 1], "expectation_value": -11.044212384494699, "params": [[-0.010100000000000001, -0.0337, -0.024300000000000002, -0.0094], [0.024300000000000002, 0.0587, 0.06470000000000001, 0.0668]], "bitstrings": ["11101", "11110"], "total_optimization_steps": 10, "probabilities": [0.06828981970419458, 0.0712916259814... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0455) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0455) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0455) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0455) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0455) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
-2862683680105267660 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 4], [3, 6], [0, 4], [5, 6], [8, 6], [8, 5], [5, 7], [0, 2], [4, 6], [8, 1], [8, 0], [8, 2], [1, 2], [0, 6], [1, 5], [3, 4]]} | {"states": [71, 87], "expectation_value": -1.6166321927525746, "params": [0.8475, 0.4904, 0.4445, 0.0091, 1.1765, -0.25070000000000003, 0.9136000000000001, 0.009300000000000001, 1.1866, 0.0239, 1.118, 0.0076, 0.9438000000000001, 0.5051, 0.6275000000000001, 0.0056, 1.1976, 0.1758, 0.9648, 0.0095, 0.9461, -0.454200000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["100101001", "101111000", "010000111", "110100110", "110100011", "110101000", "101101000", "110111000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8475) q[0];
rz(0.4904) q[0];
rx(1.1765) q[1];
rz(-0.2507) q[1];
rx(1.1866) q[2];
rz(0.0239) q[2];
rx(0.9438) q[3];
rz(0.5051) q[3];
rx(1.1976) q[4];
rz(0.1758) q[4];
rx(0.9461) q[5];
rz(-0.4542) q[5];
rx(1.1898) q[6];
rz(0.0819) q[6];
rx(1.1955) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
271acce5133583ec98e9f3252c3b381c | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -12.991398792046658, "params": [[[-0.013000000000000001, -0.4751], [0.0013000000000000002, 0.0129], [0.0273, 0.0019], [0.0028, 0.002], [0.0031000000000000003, -0.0034000000000000002], [0.0019, 0.0027], [0.002, -0.0032], [0.0025, 0.0024000000000000002], [0.003400000000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.013) q[0];
ry(0.0013) q[1];
ry(0.0273) q[2];
ry(0.0028) q[3];
ry(0.0031) q[4];
ry(0.0019) q[5];
ry(0.002) q[6];
ry(0.0025) q[7];
ry(0.0034) q[8];
ry(0.4578) q[9];
ry(-0.0117) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
-3335078706934662280 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4], [0, 3], [2, 5]]} | {"states": [5, 58], "expectation_value": -0.02299167580079199, "params": [[[1.5261, 0.003], [1.4861, 0.0027], [1.6511, 0.0081], [1.7012, 0.0039000000000000003], [1.6032000000000002, 0.0034000000000000002], [1.5688, 0.0037]]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 170, "probabilities": [0.02226... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) | 2 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["001100", "000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.5261) q[0];
rz(0.003) q[0];
rx(1.4861) q[1];
rz(0.0027) q[1];
rx(1.6511) q[2];
rz(0.0081) q[2];
rx(1.7012) q[3];
rz(0.0039) q[3];
rx(1.6032) q[4];
rz(0.0034) q[4];
rx(1.5688) q[5];
rz(0.0037) q[5];
cx q[5], q[4];
cx q[4], q[3];
cx q[3], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
92977879d93808800c1e23dcfc7674ef | 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": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -0.4328194477381225, "params": [[0.07730000000000001], [-0.0733]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010485540057475765, 0.010587538662770167], "optimization_time": 3.236318826675415} | -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 | 1 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0387) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0773) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(-0.0773) q[1];
cx q[5], q[1];
cx q[0], q[6];
rz(0.0773) q[6];
cx q[0], q[6];
cx q[1], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 154.36676836013794} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[4];
ry(22.4081) q[1];
ry(63.2613) q[2];
ry(10.617) q[7];
ry(63.0833) q[6];
cry(62.605) q[4], q[2];
cry(23.8282) q[6], q[2];
cry(-11.7947) q[4], q[1];
ry(-0.0629) q[0];
ry(0.3559) q[5]... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
2709643479563405023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6]]} | {"states": [103, 92], "expectation_value": -0.011025836001654507, "params": [[0.0712], [-0.06910000000000001]], "bitstrings": ["0011000", "0100011"], "total_optimization_steps": 10, "probabilities": [0.007920559864780578, 0.007920592928857911], "optimization_time": 0.9515824317932129} | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -0.5666666666666667, "smallest_bitstrings": ["1001000", "0010100", "1000100", "0011000", "0100011", "1010000", "0001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0142) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0142) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0142) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0142) q[4];
cx q[2], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -1.9148927090160686, "params": [[-0.0574, -0.0183], [0.06960000000000001, 0.044700000000000004]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.02861698721210078, 0.030064400146725616], "optimization_time": 2.839517831802368} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.1722) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.2583) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2009) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.4018) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.143... | 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": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -2.4428731980993317, "params": [[0.163], [-0.1494]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 20, "probabilities": [0.039507532114190974, 0.04089952505945746], "optimization_time": 2.0322515964508057} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0815) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.326) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.4075) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.2445) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14174, 14190], "expectation_value": -9.743094847966765, "params": [[[0.17900000000000002, 0.6437, 0.0058000000000000005, 0.0041], [0.1899, 0.6534, -0.0043, 0.0067], [1.5687, 0.0019, 1.5678, 0.0066], [1.5687, -0.003, 1.5785, 0.0097], [1.57, 0.0027, 1.5656, 0.0045000000000000005], [0.0118, 0.2838, -0.0025, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 11 | 15 | 1 | {"smallest_eigenvalues": [-10.249999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.24999999999997, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.179) q[0];
rz(0.6437) q[0];
ry(0.1899) q[1];
rz(0.6534) q[1];
ry(1.5687) q[2];
rz(0.0019) q[2];
ry(1.5687) q[3];
rz(-0.003) q[3];
ry(1.57) q[4];
rz(0.0027) q[4];
ry(0.0118) q[5];
rz(0.2838) q[5];
ry(1.5682) q[6];
rz(0.0021) q[6];
ry(1.5985) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
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