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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
78f89ba37e1e52ef320c2e0609cedde3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [133, 215], "expectation_value": -9.059349725155602, "params": null, "bitstrings": ["101111010", "100101000"], "total_optimization_steps": 82, "probabilities": [0.13244453111321247, 0.6366772228692882], "optimization_time": 166.22258853912354} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[1];
cry(-1.57) q[8], q[0];
ry(1.0957) q[8];
cry(-1.5697) q[1], q[3];
cry(-1.5706) q[1], q[5];
cry(-0.5475) q[1], q[0];
cry(0.3308) q[1], q[8];
cry(1.4739) q[4], q[2];
cry(1.22... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 83.96529269218445} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | 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(-1.5577) q[0];
cry(-1.5708) q[3], q[5];
cry(-1.57) q[6], q[2];
ry(1.0882) q[6];
cry(-1.5707) q[4], q[1];
ry(1.0467) q[4];
ry(-0.4466) q[2];
ry(-0.3752) q[1];
ry(0.5885) q[5];
cry(-0.6355) q[5], q[3];
c... | null | {"k": 4} | {"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(-1.5577) 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", ... |
90ed954541db23a75eecb07977c28089 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [2006, 2038], "expectation_value": -2.999335714848278, "params": [[[-0.0166, 0.9528000000000001], [0.002, 1.5661], [0.1756, -0.30920000000000003], [0.0012000000000000001, -0.0901], [-0.0111, -0.3261], [-0.007, -0.0714], [1.6432, 1.5473000000000001], [0.0043, 1.5399], [0.003, 1.5613000000000001], [-0.0022, 1.... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0166) q[0];
ry(0.002) q[1];
ry(0.1756) q[2];
ry(0.0012) q[3];
ry(-0.0111) q[4];
ry(-0.007) q[5];
ry(1.6432) q[6];
ry(0.0043) q[7];
ry(0.003) q[8];
ry(-0.0022) q[9];
ry(0.7406) q[10];
ry(0.095) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
be472b2016026c5093c540b6b797236b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [98, 97], "expectation_value": -4.496446952351244, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 28, "probabilities": [0.06701298199197654, 0.9297039673563081], "optimization_time": 21.109019994735718} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "1100110", "0011110", "0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(-1.4449) q[2];
ry(1.4417) q[0];
ry(1.4384) q[1];
cry(-1.0398) q[6], q[5];
ry(0.7022) q[6];
cry(-0.1259) q[1], q[3];
ry(-0.4578) q[5];
cry(0.4969) q[0], q[6];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
2e200bb8073486f9f5618c79a707f4f5 | matching | 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": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 1, "target": 2}, {"weight": 10, "sourc... | {"states": [218, 217], "expectation_value": -33.59866918202871, "params": [[-0.027600000000000003], [0.26430000000000003]], "bitstrings": ["100100101", "100100110"], "total_optimization_steps": 30, "probabilities": [0.010522427359336433, 0.010626227841680649], "optimization_time": 2.226392984390259} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(1) + 4.5 * Z(0) + 13.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100110"]} | 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(-0.276) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.276) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.276) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(-0.276) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
94b4685949b0232e6f45bdcd5b80e7ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [169, 173], "expectation_value": -2.898526153750389, "params": [[[-0.0188, -0.27690000000000003, 0.004200000000000001, 0.0009000000000000001], [0.3309, -0.066, 0.4501, 0.0029000000000000002], [0.1092, -0.002, 0.0032, -0.004], [0.2713, -0.0023, 0.2793, 0.00030000000000000003], [0.0018000000000000002, 0.4519, ... | 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(... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0188) q[0];
rz(-0.2769) q[0];
ry(0.3309) q[1];
rz(-0.066) q[1];
ry(0.1092) q[2];
rz(-0.002) q[2];
ry(0.2713) q[3];
rz(-0.0023) q[3];
ry(0.0018) q[4];
rz(0.4519) q[4];
ry(0.0809) q[5];
rz(-0.033) q[5];
ry(0.4534) q[6];
rz(0.0034) q[6];
ry(-0.0038) 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": []} |
240b510bfe77c5e3336f7e5d9b59c15c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 9}, {"source": 4, "target": 5},... | {"states": [1800, 1792], "expectation_value": -20.840715255088952, "params": null, "bitstrings": ["00011110111", "00011111111"], "total_optimization_steps": 100, "probabilities": [0.22074692661554957, 0.24520612412903384], "optimization_time": 285.26950311660767} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-1.5577) q[9];
ry(-0.1626) q[8];
cry(-1.3022) q[5], q[8];
ry(-0.9083) q[7];
ry(-0.0306) q[10];
cry(-0.7728) q[5], q[10];
cry(-0.9975) q[6], q[10];
cry(0.548) q[4], q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5577) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... |
142bfd63d620ab803e67c35943475f60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [105, 109], "expectation_value": -5.129245822006236, "params": [[0.0037, 0.025, 0.5124000000000001, 0.5996, 0.0009000000000000001, 0.8922, 0.2059, 0.0017000000000000001, 0.779], [-0.0521, -0.112, 0.9019, 0.9006000000000001, -0.0026000000000000003, 0.9041, 0.9085000000000001, 0.0016, 0.7861], [0.0253, -0.0071... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(5) + -1.0 * Z(... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100011010", "110110000", "110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0037) q[0];
ry(0.025) q[1];
ry(0.5124) q[2];
ry(0.5996) q[3];
ry(0.0009) q[4];
ry(0.8922) q[5];
ry(0.2059) q[6];
ry(0.0017) q[7];
ry(0.779) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz 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": []} |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 22.458964824676514} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"]} | 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(-1.5708) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[3], q[0];
cry(0.1216) q[0], q[5];
cry(0.1188) q[0], q[2];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
556646997941224666 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [3, 4], [1, 3], [0, 2]]} | {"states": [6, 25], "expectation_value": -0.022821084618497134, "params": [[0.0522], [-0.0441]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.03211541518667088, 0.03211541518667088], "optimization_time": 0.3847217559814453} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00110", "01100", "11001", "01101", "10010", "10011"]} | 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[4], q[2];
rz(0.0522) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0522) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.0522) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.0522) q[1];
cx q[3], q[1];
cx q[2], q[0];
rz(0.0522) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
-3614570496999955581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 10, 4], [1, 3, 4, 9], [1, 3, 6, 8, 9, 10], [1, 2, 7, 9, 10], [0, 5, 6], [3, 4, 5, 6, 7], [1, 3, 7], [8, 9, 0], [2, 4], [0, 1, 2, 7]]} | {"states": [1629, 1627], "expectation_value": -2.1559559932779466, "params": [1.4872, 1.4888000000000001, 1.4858, 1.4854, 0.28650000000000003, 0.2793, 0.6535000000000001, 0.6674, 1.4758, 1.4914, 0.6509, 0.6686000000000001, 1.491, 1.4857, 1.4714, 1.4878, 0.5548000000000001, 0.5215000000000001, 1.4874, 1.4946000000000002... | 0.19999999999999998 * (Z(8) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333334 * (Z(1) @ Z(10)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(10)) + 0.03333333333333333 * (Z(3) @ Z(8)) + 0.1333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.9333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8500000000000005, "smallest_bitstrings": ["00110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.4872) q[0];
ry(1.4858) q[1];
ry(0.2865) q[2];
ry(0.6535) q[3];
ry(1.4758) q[4];
ry(0.6509) q[5];
ry(1.491) q[6];
ry(1.4714) q[7];
ry(0.5548) q[8];
ry(1.4874) q[9];
ry(1.1759) q[10];
crx(1.3105) q[10], q[0];
crx(1.174) q[9], q[10];
crx(0.0245) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c86f9ec7eec6446b2b675d70d15f99d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [0, 511], "expectation_value": -6.8685073840543405, "params": [0.37010000000000004, 0.11220000000000001, -0.3069, 0.2732, 0.3934, 0.131, 0.0049, 0.0546, 0.42560000000000003, 0.21450000000000002, 0.3002, 0.15230000000000002, 0.4302, 0.1437, 0.3163, 0.2917, 0.4307, -0.1343, 0.399, -0.08850000000000001, 0.4349,... | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 6 | 10 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3701) q[0];
rz(0.1122) q[0];
rx(0.3934) q[1];
rz(0.131) q[1];
rx(0.4256) q[2];
rz(0.2145) q[2];
rx(0.4302) q[3];
rz(0.1437) q[3];
rx(0.4307) q[4];
rz(-0.1343) q[4];
rx(0.4349) q[5];
rz(0.0682) q[5];
rx(0.4531) q[6];
rz(0.3134) q[6];
rx(0.4486) 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... | {"node": 0} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [732, 733], "expectation_value": -2.0143543047671373, "params": [0.6829000000000001, 0.15330000000000002, 0.09230000000000001, 0.5089, 0.9844, 0.2544, 0.9969, -0.0046, 0.3446, 0.3992, 0.9627, 0.1912, 0.7591, 0.0056, 0.9932000000000001, 0.0129, 0.09960000000000001, 0.4969, 0.6282, 0.24750000000000003, 0.6487,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 16 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6829) q[0];
rz(0.1533) q[0];
rx(0.0923) q[1];
rz(0.5089) q[1];
rx(0.9844) q[2];
rz(0.2544) q[2];
rx(0.9969) q[3];
rz(-0.0046) q[3];
rx(0.3446) q[4];
rz(0.3992) q[4];
rx(0.9627) q[5];
rz(0.1912) q[5];
rx(0.7591) q[6];
rz(0.0056) q[6];
rx(0.9932) 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": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | adaptive_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": [27893, 27869], "expectation_value": -10.087038169201568, "params": null, "bitstrings": ["001001100001010", "001001100100010"], "total_optimization_steps": 100, "probabilities": [0.05891426767628512, 0.8469469874667618], "optimization_time": 498.077246427536} | 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.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-10.249999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999929, "smallest_bitstrings": ["001001100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
ry(1.5708) q[14];
ry(1.5706) q[7];
ry(1.5706) q[0];
cry(1.5681) q[7], q[10];
cry(1.5681) q[0], q[3];
cry(1.4449) q[7], q[12];
cry(1.4... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nry(1.5708) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... |
b45c7886b6d5b695cfa484b65d1853c9 | 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": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [235, 234], "expectation_value": -2.392736884831678, "params": [0.6085, 0.0021000000000000003, 0.543, -0.0014, 0.5977, 0.0166, 0.1621, 0.32180000000000003, 0.6012000000000001, 0.0789, -0.018000000000000002, 0.37320000000000003, 0.6016, 0.0553, 0.5086, 0.0623, 0.6065, 0.0026000000000000003, 0.5443, 0.0091, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(5) + 0.0 * Z(0) + -0.5 * Z(7) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00010101", "01010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6085) q[0];
rz(0.0021) q[0];
rx(0.543) q[1];
rz(-0.0014) q[1];
rx(0.5977) q[2];
rz(0.0166) q[2];
rx(0.1621) q[3];
rz(0.3218) q[3];
rx(0.6012) q[4];
rz(0.0789) q[4];
rx(-0.018) q[5];
rz(0.3732) q[5];
rx(0.6016) q[6];
rz(0.0553) q[6];
rx(0.5086) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2813, 2805], "expectation_value": -4.584653072034126, "params": [2.2855000000000003, 0.0032, 1.2059, 0.0022, 3.1408, 0.009000000000000001, 1.1905000000000001, 0.0061, 2.1829, 0.001, 3.1569000000000003, 0.006500000000000001, 3.1458, 0.0036000000000000003, 3.1462000000000003, 0.0061, 1.5707, 0.0004, 2.2075, 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.2855) q[0];
rz(0.0032) q[0];
rx(1.2059) q[1];
rz(0.0022) q[1];
rx(3.1408) q[2];
rz(0.009) q[2];
rx(1.1905) q[3];
rz(0.0061) q[3];
rx(2.1829) q[4];
rz(0.001) q[4];
rx(3.1569) q[5];
rz(0.0065) q[5];
rx(3.1458) q[6];
rz(0.0036) q[6];
rx(3.1462) 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": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -15.424896800244515, "params": [[-0.0434, 0.0568, 0.044700000000000004], [0.07690000000000001, -0.028200000000000003, -0.0437]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01292999616860855, 0.013999251282792812], "optimization... | 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(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | 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[0], q[2];
rz(-0.3906) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.3906) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.3906) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.3906) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-6975250947239387511 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2, 5], [1, 2, 4, 5], [3, 4], [0, 1, 2, 4, 6], [1, 5, 6], [2, 3, 6]]} | {"states": [122, 58], "expectation_value": -2.0247579213392166, "params": [2.3697, 0.769, 1.5435, 0.0079, 2.2368, 0.0193, 0.9048, 0.007, 2.3103000000000002, -0.019200000000000002, 0.7916000000000001, 0.0058000000000000005, 2.3373, 0.0333, 0.8148000000000001, 0.0054, -0.003, 1.486, -0.003, 0.004, 1.4406, -0.1957, 1.6133... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.25 * (Z(... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["0001010", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(2.3697) q[0];
rz(0.769) q[0];
rx(2.2368) q[1];
rz(0.0193) q[1];
rx(2.3103) q[2];
rz(-0.0192) q[2];
rx(2.3373) q[3];
rz(0.0333) q[3];
rx(-0.003) q[4];
rz(1.486) q[4];
rx(1.4406) q[5];
rz(-0.1957) q[5];
rx(0.0054) q[6];
rz(1.3517) q[6];
crz(0.024) q[6], q[5];... | 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": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | qaoa | {"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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -3.7294447851887655, "params": [[0.0584, 0.042100000000000005, 0.0606, 0.030000000000000002], [-0.0674, -0.0345, -0.0538, -0.0391]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.03649550667245432, 0.03649550667245432], "optimization_tim... | 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)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (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 *... | 12 | 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];
cx q[1], q[0];
rz(0.2044) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2044) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2044) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2044) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2044... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -4.9890656587998095, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 31, "probabilities": [0.06023624493013055, 0.8645378003119564], "optimization_time": 34.669222354888916} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[0];
ry(1.4449) q[5];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[6], q[3];
ry(0.7003) q[6];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[4];
ry(-0.4549) q[3];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
73590e0e5e64cdd17befd03fc27853a5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 15], "expectation_value": -2.614084023742953, "params": [[-0.0651], [0.064]], "bitstrings": ["111111111", "111110000"], "total_optimization_steps": 10, "probabilities": [0.0036714899896583553, 0.003882933049109442], "optimization_time": 0.7436301708221436} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.5 * (Z(1) @ Z(4)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000"]} | 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(0.3906) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.3906) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.3255) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.3906) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
... | {"node": 3} | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 56], "expectation_value": -4.999937482230923, "params": null, "bitstrings": ["001101", "000111"], "total_optimization_steps": 26, "probabilities": [1.6356491498964233e-05, 0.9999687417494828], "optimization_time": 23.524609565734863} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"]} | 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(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[1];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.1186) q[2], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7045b11d9eb140d2e8e06a7ee0e1d0cd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3535, 3533], "expectation_value": -2.8559770854685307, "params": [0.7794000000000001, 0.7767000000000001, 0.7637, 0.7359, -0.0114, 0.0429, 0.7785000000000001, 0.7744000000000001, 0.7098, 0.7096, 0.4913, 0.4703, 0.0432, 0.0405, 0.1516, 0.166, 0.7778, 0.7795000000000001, 0.7129000000000001, 0.6945, 0.1734, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -2.5, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7794) q[0];
ry(0.7637) q[1];
ry(-0.0114) q[2];
ry(0.7785) q[3];
ry(0.7098) q[4];
ry(0.4913) q[5];
ry(0.0432) q[6];
ry(0.1516) q[7];
ry(0.7778) q[8];
ry(0.7129) q[9];
ry(0.1734) q[10];
ry(0.66) q[11];
crx(0.7822) q[11], q[0];
crx(-0.1468) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-4619862998776359120 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [0, 3, 5], [0, 2], [3, 4, 5], [2, 3, 5, 6]]} | {"states": [27, 58], "expectation_value": -2.094460958464844, "params": null, "bitstrings": ["1100100", "1000101"], "total_optimization_steps": 36, "probabilities": [0.06145946132022098, 0.8487345337233041], "optimization_time": 46.24501872062683} | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["1000101"]} | 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(1.4977) q[3];
cry(-1.0336) q[2], q[0];
ry(0.8505) q[2];
cry(-1.0516) q[1], q[6];
cry(-0.5761) q[3], q[0];
cry(0.4957) q[3], q[2];
ry(0.6487) q[1];
ry(-0.4353) q[6];
cry(0.5057) q[3], q[1];
cry(-0.378) ... | 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(1.4977) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
6c729dfd5e7001e3a38620bc1dd3c2de | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [462, 334], "expectation_value": -1.7174454595528361, "params": [0.47740000000000005, 0.48550000000000004, 0.2867, 0.2862, 0.49670000000000003, 0.49960000000000004, 0.2044, 0.2089, -0.0023, 0.0013000000000000002, 0.4975, 0.5002, 0.498, 0.5045000000000001, 0.49560000000000004, 0.505, 0.215, 0.2051, 0.4882, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010010011", "010110001", "000111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4774) q[0];
ry(0.2867) q[1];
ry(0.4967) q[2];
ry(0.2044) q[3];
ry(-0.0023) q[4];
ry(0.4975) q[5];
ry(0.498) q[6];
ry(0.4956) q[7];
ry(0.215) q[8];
crx(0.382) q[8], q[0];
crx(0.2512) q[7], q[8];
crx(0.1948) q[6], q[7];
crx(0.478) q[5], q[6];
crx(0.373) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -4.113542948424648, "params": [[-0.0669, -0.049300000000000004, -0.0511, -0.0252], [0.0772, 0.0631, 0.0694, 0.0665]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.04303738574503206, 0.04494181762772304], "optimization_time": 6.931887865... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "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[1], q[0];
rz(-0.2341) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2341) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2341) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2676) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -13.992609589792709, "params": [[-0.028900000000000002, 0.0528, 0.0286], [0.0582, -0.04, -0.030100000000000002]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005163149189848793, 0.0068108936522093605], "optimization_time": 5.9... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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(-0.2601) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2601) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.2601) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(-0.2601) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -7.689657391094378, "params": null, "bitstrings": ["111100", "110000"], "total_optimization_steps": 47, "probabilities": [0.14579950848333692, 0.7379678494460287], "optimization_time": 35.234882831573486} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | 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(1.5708) q[4];
cry(1.5708) q[3], q[2];
ry(0.9995) q[3];
ry(0.4143) q[2];
cry(1.5681) q[1], q[5];
cry(-1.5681) q[5], q[0];
cry(0.4161) q[2], q[3];
ry(0.2767) q[5];
cry(-1.7331) q[5], q[1];
cry(0.5159) q[4], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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... |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 23.35705804824829} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | 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(-1.5681) q[6], q[0];
ry(1.1478) q[6];
ry(-1.5681) q[3];
ry(-1.5708) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-0.6096) q[0];
cry(0.3083) q[5], q[6];
cry(-0.1297) q[5], q[0];
cry(-0.0019) q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
2788372475551906712 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [1, 2, 5], [2, 3, 4, 7], [4, 5, 6, 7], [0, 4], [3, 5], [8, 1, 5]]} | {"states": [335, 245], "expectation_value": -0.9181472090084795, "params": [[-0.38780000000000003], [0.37870000000000004]], "bitstrings": ["010110000", "100001010"], "total_optimization_steps": 40, "probabilities": [0.00730969914575686, 0.007608179432810143], "optimization_time": 4.654650449752808} | 0.25 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["100001010"]} | 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[8];
rz(-0.1939) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-0.0646) q[3];
cx q[1], q[3];
cx q[8], q[3];
rz(-0.0646) q[3];
cx q[8], q[3];
cx q[1], q[7];
rz(-0.0646) q[7];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.366318711991928, "params": [[-0.065, -0.0465, -0.023, -0.0106], [0.082, 0.0738, 0.0557, 0.0339]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.023225182689024224, 0.023618150449401496], "optimization_time": 3.690805196762085} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | 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(-0.065) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.065) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(-0.065) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(-0.065) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(-0.065... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
6669382969482181801 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 6, 8, 10, 12], [8, 0, 4], [8, 2, 11], [0, 2, 7, 11, 12], [1, 4, 5, 8, 10], [0, 3, 4, 5, 9, 10, 11], [1, 10, 12], [3, 7], [11, 1, 2, 10], [9, 2], [3, 5, 6, 9, 10, 11, 12], [0, 3, 6, 9, 10, 12], [2, 5], [5, 7], [3, 4, 5, 9, 10, 11, 12], [2, 3, 12, 6... | {"states": [3039, 3035], "expectation_value": -5.117503242070378, "params": [0.8295, 0.7738, 1.2999, 1.5927, 0.1885, 0.1796, 1.5761, 1.5754000000000001, 1.5868, 0.8308000000000001, 1.4932, 1.3135000000000001, 1.0972, 0.634, 0.13720000000000002, 0.017, 1.5794000000000001, 1.5830000000000002, 1.1365, 1.1360000000000001, ... | 0.18333333333333335 * (Z(2) @ Z(6)) + 0.3833333333333333 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.15714285714285714 * (Z(10) @ Z(6)) + 0.13333333333333333 * (Z(10) @ Z(2)) + 0.1 * (Z(10) @ Z(8)) + 0.19047619047619047 * (Z(12) @ Z(6)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @ Z(8)) + 0.29... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.142857142857143], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.107142857142857, "smallest_bitstrings": ["1010000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8295) q[0];
ry(1.2999) q[1];
ry(0.1885) q[2];
ry(1.5761) q[3];
ry(1.5868) q[4];
ry(1.4932) q[5];
ry(1.0972) q[6];
ry(0.1372) q[7];
ry(1.5794) q[8];
ry(1.1365) q[9];
ry(1.5922) q[10];
ry(1.5789) q[11];
ry(1.5398) q[12];
crx(0.4351) q[12], q[0];
crx(1.392... | 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": []} |
34fec832591d56601cbd146a15fec9ed | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 172.84209394454956} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"]} | 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(-3.4097) q[3];
ry(21.0543) q[2];
cry(-43.1702) q[2], q[3];
ry(14.4209) q[1];
ry(18.1586) q[4];
cry(-55.7026) q[1], q[3];
cry(28.9006) q[1], q[2];
ry(20.8652) q[0];
cry(10.9) q[1], q[4];
cry(8.6... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.588127682973794, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 6.688779830932617} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[2], q[0];
cry(1.3762) q[2], q[1];
ry(0.6284) q[2];
cry(-0.6942) q[1], q[3];
cry(-0.6942) q[1], q[0];
cry(0.4129) q[1], q[2];
ry(0.2721) q[1];
cry(0.4028) q[3], q[0];
cry(0.4478) q[0], q[3]... | null | {"start_node": 0, "end_node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 228.70805668830872} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | 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(-0.197) q[0];
ry(-0.3559) q[2];
ry(-0.2317) q[1];
ry(-0.5045) q[3];
cry(-1.2391) q[5], q[0];
cry(-1.2069) q[7], q[2];
cry(-1.066) q[6], q[3];
cry(-1.3391) q[4], q[1];
ry(1.0455) q[5];
cry(-0.60... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553518, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 31.852271795272827} | -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 | 2 | {"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];
ry(-1.5708) q[4];
ry(1.5708) q[3];
cry(-1.5708) q[5], q[0];
ry(1.1112) q[5];
cry(-0.5795) q[3], q[0];
cry(1.5705) q[5], q[1];
cry(0.266) q[1], q[5];
cry(1.4945) q[3], q[2];
cry(-0.0917) q[1], q[0];
cry(-0.0613) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... |
5ce236cf319210d2582c544b33b006c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [94, 158], "expectation_value": -61.89509734837393, "params": [1.0447, 0.7972, 0.8528, -0.4771, 0.0007, -0.6693, 1.0779, 0.006500000000000001, 1.0463, 0.0149, 1.05, 0.0155, 1.1569, -0.2533, -0.0032, -0.6268, 0.49520000000000003, 1.1372, 0.37260000000000004, 0.2, 0.0018000000000000002, -1.1288, 1.082, -0.0021... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 0.0 * Z(0) + 2.0 * Z(1) + 8.0 * Z(2) + 5.5 * Z(4) + 12.0 * Z(3) + 14.0 * Z(5) + 16.0 * Z(6) + 10.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0447) q[0];
rz(0.7972) q[0];
rx(0.8528) q[1];
rz(-0.4771) q[1];
rx(0.0007) q[2];
rz(-0.6693) q[2];
rx(1.0779) q[3];
rz(0.0065) q[3];
rx(1.0463) q[4];
rz(0.0149) q[4];
rx(1.05) q[5];
rz(0.0155) q[5];
rx(1.1569) q[6];
rz(-0.2533) q[6];
rx(-0.0032) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | community_detection | qaoa | {"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": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "... | {"states": [2710, 1385], "expectation_value": -0.08517188625616208, "params": [[0.17900000000000002], [-0.17200000000000001]], "bitstrings": ["010101101001", "101010010110"], "total_optimization_steps": 20, "probabilities": [0.00034108568496595844, 0.0003410856849659587], "optimization_time": 5.416673183441162} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025510204... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.514540816326532], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5145408163265315, "smallest_bitstrings": ["101010010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0895) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0004) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0004) q[3];
cx q[1], q[3];
cx q[2], q[3];
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] 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8ed7cc91faf8f25841f02066a68a347e | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.007829916728359518, "params": [[-0.006, 0.0154], [0.0045000000000000005, -0.0015]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007836332559178536, 0.00783762654302022], "optimization_time": 31.7683265209198} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"]} | 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(0.012) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.009) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(0.012) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [1782, 1774], "expectation_value": -7.309224779390528, "params": [0.0523, 0.6196, 1.0812000000000002, 0.2436, 0.7044, -0.007500000000000001, 0.044700000000000004, 0.6079, 1.0403, 0.25270000000000004, 0.7873, 0.0429, 0.7789, -0.0025, 0.7108, 0.3393, 0.7044, 0.1822, 0.8505, 0.0009000000000000001, 1.0481, -0.01... | 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0523) q[0];
rz(0.6196) q[0];
rx(1.0812) q[1];
rz(0.2436) q[1];
rx(0.7044) q[2];
rz(-0.0075) q[2];
rx(0.0447) q[3];
rz(0.6079) q[3];
rx(1.0403) q[4];
rz(0.2527) q[4];
rx(0.7873) q[5];
rz(0.0429) q[5];
rx(0.7789) q[6];
rz(-0.0025) q[6];
rx(0.7108) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -55.854435832180286, "params": [0.6716000000000001, 0.0022, 2.8932, 0.0032, 2.8935, 0.0022, 1.4093, 0.009000000000000001, 2.8985000000000003, 0.0061, 2.9039, 0.001, 1.4914, 0.006500000000000001, 2.8929, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.0032, 0.0004, 0.00... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6716) q[0];
rz(0.0022) q[0];
rx(2.8932) q[1];
rz(0.0032) q[1];
rx(2.8935) q[2];
rz(0.0022) q[2];
rx(1.4093) q[3];
rz(0.009) q[3];
rx(2.8985) q[4];
rz(0.0061) q[4];
rx(2.9039) q[5];
rz(0.001) q[5];
rx(1.4914) q[6];
rz(0.0065) q[6];
rx(2.8929) 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] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
477891dfe500747d074cc216ddf9357a | 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": [1333, 1301], "expectation_value": -90.58946765505688, "params": [0.0024000000000000002, 0.4524, 0.5983, 0.1149, 0.3583, 0.2887, 0.6046, 0.0848, 0.3804, 0.1988, 0.0349, 0.27890000000000004, 0.3536, 0.1365, 0.6068, 0.0129, 0.0035, 0.40290000000000004, 0.5935, 0.0747, 0.3241, 0.19110000000000002, 0.5999, 0.002... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 3.0 * Z(2) + 17.0 * Z(1) + 9.5 * Z(3) + 4.0 * Z(4) ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-145.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.5, "smallest_bitstrings": ["101011101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0024) q[0];
rz(0.4524) q[0];
rx(0.5983) q[1];
rz(0.1149) q[1];
rx(0.3583) q[2];
rz(0.2887) q[2];
rx(0.6046) q[3];
rz(0.0848) q[3];
rx(0.3804) q[4];
rz(0.1988) q[4];
rx(0.0349) q[5];
rz(0.2789) q[5];
rx(0.3536) q[6];
rz(0.1365) q[6];
rx(0.6068) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
d45a5bc179495544dab1e6a4ef51a643 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [34, 72], "expectation_value": -3.7044407863549402, "params": [[-0.163, -0.1641], [0.1627, 0.167]], "bitstrings": ["1011101", "0110111"], "total_optimization_steps": 20, "probabilities": [0.03379123951978179, 0.033791239519781816], "optimization_time": 4.537626504898071} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110111", "1111100", "1011101", "1101110", "1111001", "0101111", "0111011"]} | 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(-0.163) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.163) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.163) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.163) q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -0.8464860654968361, "params": [[0.042800000000000005, 0.0514, 0.07830000000000001], [-0.021500000000000002, -0.0285, -0.060700000000000004]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.02046870690946713, 0.022960715288272086], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(0.0428) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0428) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0428) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0428) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0428... | 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": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -5.759229055549098, "params": [[0.06770000000000001, 0.0545], [-0.0787, -0.0689]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.018086340131614215, 0.01911830111312336], "optimization_time": 5.086971282958984} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | 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(0.3047) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3047) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3047) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3047) q[3];
cx q[1], q[3];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
5b9a084198e0b36a60e2522bb7034639 | 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": [78, 79], "expectation_value": -82.87923766440204, "params": [[[0.8073, 0.018000000000000002], [0.0341, 0.018000000000000002], [0.8961, 0.7975], [-0.0049, 0.8923000000000001], [-0.4158, 0.6402], [-0.0007, 0.894], [0.1269, 0.8954000000000001], [0.8267, 0.8470000000000001], [0.6517000000000001, 0.6745]], [[0.6... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 17.0 * Z(2) + 1.5 * Z(0) + 8.0 * Z(1) + 23.5 * Z(7) + 22.5 * Z(5) + 15.0 * Z(6... | 15 | 9 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8073) q[0];
ry(0.0341) q[1];
ry(0.8961) q[2];
ry(-0.0049) q[3];
ry(-0.4158) q[4];
ry(-0.0007) q[5];
ry(0.1269) q[6];
ry(0.8267) q[7];
ry(0.6517) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -0.7620342901184649, "params": [[0.06770000000000001, 0.0545], [-0.06380000000000001, -0.0463]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011913219857115544, 0.012683669216062251], "optimization_time": 2.397202253341675} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 2 | {"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(-0.0677) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0677) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0677) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0339) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
97f3061e12540289c99d9511cc095fa6 | 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": [125, 93], "expectation_value": -75.0253189907422, "params": [0.0023, 0.5909, 0.1399, -0.02, 0.7632, -0.1763, 0.39180000000000004, -0.2948, 0.6979000000000001, 0.011600000000000001, 0.5917, 0.0323, 0.7863, -0.1744, 0.3336, -0.30970000000000003, 0.7859, -0.0184, 0.0037, 0.5926, 0.13440000000000002, -0.0118, 0... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 17.5 * Z(2) + -3.5 * Z(1) + 13.5 *... | 4 | 9 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(0.5909) q[0];
rx(0.1399) q[1];
rz(-0.02) q[1];
rx(0.7632) q[2];
rz(-0.1763) q[2];
rx(0.3918) q[3];
rz(-0.2948) q[3];
rx(0.6979) q[4];
rz(0.0116) q[4];
rx(0.5917) q[5];
rz(0.0323) q[5];
rx(0.7863) q[6];
rz(-0.1744) q[6];
rx(0.3336) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 14.995560646057129} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"]} | 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(-1.5708) q[3];
ry(-1.5708) q[1];
cry(-1.5708) q[5], q[0];
ry(1.0383) q[5];
ry(-0.2253) q[0];
cry(-0.3351) q[4], q[0];
cry(0.3921) q[4], q[5];
cry(-0.2486) q[2], q[0];
cry(0.2448) q[2], q[5];
cry(-0.3432) q[0],... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [17, 25], "expectation_value": -0.6104672886377688, "params": [0.5048, 0.057, 0.43910000000000005, 0.1163, 0.19770000000000001, 0.1638, 0.19940000000000002, 0.17250000000000001, 0.4439, 0.1039, 0.5067, 0.04, 0.4375, 0.12250000000000001, 0.1981, 0.1655, 0.2006, 0.1726, 0.4409, 0.1119, 0.4995, 0.0028, 0.437100... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 18 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.5048) q[0];
rz(0.057) q[0];
rx(0.4391) q[1];
rz(0.1163) q[1];
rx(0.1977) q[2];
rz(0.1638) q[2];
rx(0.1994) q[3];
rz(0.1725) q[3];
rx(0.4439) q[4];
rz(0.1039) q[4];
crz(0.1343) q[4], q[0];
crz(0.1662) q[3], q[4];
crz(-0.1639) q[2], q[3];
crz(0.1692) q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d62a0f012823c70bafc442cdcec5fdce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [58, 60], "expectation_value": -5.499898991259004, "params": null, "bitstrings": ["1000101", "1000011"], "total_optimization_steps": 35, "probabilities": [1.635025282474471e-05, 0.9999303721534422], "optimization_time": 29.954155921936035} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011"]} | 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(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[4];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
07dc38d1dc363182151755eeee21e61e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [0, 127], "expectation_value": -3.1196085974666223, "params": [[0.0455, 0.0682, 0.0579, 0.059000000000000004], [-0.019, -0.054, -0.048, -0.0461]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.014606434095746546, 0.015579232159319629], "optimization_time": 7.4217... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "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(-0.0227) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0227) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0455) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0455) q[6];
cx q[1], 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] 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": []} |
-5657510331550772443 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [95, 93], "expectation_value": -2.668157810372328, "params": [0.526, 0.0122, 0.4319, 0.0048000000000000004, 1.2983, -0.0037, 1.2985, 0.0086, 0.5117, -0.0018000000000000002, 0.30010000000000003, 0.009000000000000001, 1.2950000000000002, -0.0054, 1.2953000000000001, 0.0074, 1.2984, -0.006200000000000001, 1.294... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.526) q[0];
rz(0.0122) q[0];
rx(1.2983) q[1];
rz(-0.0037) q[1];
rx(0.5117) q[2];
rz(-0.0018) q[2];
rx(1.295) q[3];
rz(-0.0054) q[3];
rx(1.2984) q[4];
rz(-0.0062) q[4];
rx(1.3005) q[5];
rz(-0.0043) q[5];
rx(1.2601) q[6];
rz(0.0417) q[6];
rx(1.2916) 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": []} |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -1.3038458230157262, "params": [[-0.0322, -0.0419, -0.0125, 0.0117], [0.0357, 0.0563, 0.0291, 0.0091]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.0069079036180419015, 0.007554837762418273], "optimization_time": 11.160608530044556... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | 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(0.0805) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0644) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.161) q[7];
cx q[0], q[7];
cx q[3], q[2];
rz(0.0966) q[2];
cx q[3], q[2];
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": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 6.49834942817688} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[0];
cry(-0.1259) q[2], q[3];
cry(0.1217) q[2], q[0];
cry(0.1214) q[0], q[2];
cry(-0.0027) q[2], q[4];
cry(-0.0027) q[2], q[1];
c[0] = me... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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]... |
-3527975737942692035 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 6], [2, 6], [0, 4, 5], [1, 7], [3, 11, 6], [9, 10, 11], [1, 6], [9, 4, 6], [0, 2, 11], [0, 8, 4], [8, 6], [3, 11, 5], [8, 3, 7], [1, 10, 3, 9], [8, 1, 11, 5]]} | {"states": [3981, 1933], "expectation_value": -4.673323589728002, "params": [[[1.5304, 0.006200000000000001, 0.0054, 0.0006000000000000001], [-0.0026000000000000003, -1.3121, 1.5733000000000001, 0.0035], [3.1398, 0.005200000000000001, 0.0094, 0.0059], [-0.0025, 1.462, 1.5732000000000002, 0.0047], [3.1396, 0.0051, 0.006... | 0.41666666666666663 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333334, "smallest_bitstrings": ["100001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5304) q[0];
rz(0.0062) q[0];
ry(-0.0026) q[1];
rz(-1.3121) q[1];
ry(3.1398) q[2];
rz(0.0052) q[2];
ry(-0.0025) q[3];
rz(1.462) q[3];
ry(3.1396) q[4];
rz(0.0051) q[4];
ry(0.9806) q[5];
rz(0.0025) q[5];
ry(0.002) q[6];
rz(0.0078) q[6];
ry(0.0029) 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": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 81.48418688774109} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | 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[5];
ry(1.5486) q[4];
ry(1.5485) q[2];
ry(1.5681) q[1];
cry(1.5708) q[1], q[3];
cry(1.5681) q[1], q[6];
cry(-1.4449) q[6], q[0];
cry(-0.1188) q[3], q[0];
cry(0.0223) q[1], q[2];
cry(0.0222) 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(1.5486) 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", "... |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [31, 15], "expectation_value": -0.7024591228723734, "params": [[0.07640000000000001], [-0.0724]], "bitstrings": ["100000", "110000"], "total_optimization_steps": 10, "probabilities": [0.02029270609501812, 0.020532952490297175], "optimization_time": 1.5210094451904297} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | 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(-0.191) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0764) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.1528) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.3056) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.1... | 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": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [1, 11], "expectation_value": -2.111497204216022, "params": [[0.0456, 0.069, 0.060700000000000004], [-0.0219, -0.050100000000000006, -0.0557]], "bitstrings": ["111110", "110100"], "total_optimization_steps": 10, "probabilities": [0.024591463422222383, 0.026452808748604523], "optimization_time": 4.63251852989... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"]} | 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[4], q[0];
rz(0.0456) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1824) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0912) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.0456) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.0228... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 96.2808985710144} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"]} | 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[2];
cry(1.5706) q[2], q[4];
cry(1.5681) q[2], q[1];
cry(1.5706) q[4], q[3];
cry(1.5706) q[7], q[6];
ry(0.6996) q[7];
ry(0.4046) q[6];
cry(0.4829) q[1], q[7];
cry(0.2183) q[1], q[6];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
23c6590e387f05fe94993d0724eddf92 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -9.89574625390106, "params": [[0.039], [-0.060700000000000004]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003504416572470273, 0.004262772754018852], "optimization_time": 2.1319706439971924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "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(0.351) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.351) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.351) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.351) q[2];
cx q[3], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [3499, 2931], "expectation_value": -0.6787771287022821, "params": [[0.0611, 0.046900000000000004], [-0.048600000000000004, -0.044000000000000004]], "bitstrings": ["001001010100", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.00033868986108222563, 0.000338689861082226], "optimization_ti... | 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0611) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0611) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0611) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 10], "expectation_value": -2.2411769032567657, "params": [[0.0736, 0.07250000000000001, 0.0751, 0.0653], [-0.0741, -0.0718, -0.0757, -0.06380000000000001]], "bitstrings": ["111010", "110101"], "total_optimization_steps": 10, "probabilities": [0.03638087169953598, 0.03929322801611881], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | 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(0.0736) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0736) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0736) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0736) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0736... | 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": []} |
c34d168b40cedac8c51b4bc41709aff9 | 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": [169, 167], "expectation_value": -30.889125721432986, "params": [[[0.4897, 0.1893], [0.49960000000000004, 0.2637], [0.44820000000000004, 0.2655], [0.49520000000000003, 0.34490000000000004], [0.2923, 0.4948], [0.16440000000000002, 0.48000000000000004], [0.43060000000000004, 0.4686], [0.32, 0.4892], [0.4852, 0... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(0) @ Z(6)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 7.0 * Z(1) + 5.0 * Z(2) + 9.0 * Z(3) + 1.5 * Z(4) + 20.5 * Z(6) + 0.5 * Z(0) +... | 15 | 9 | 4 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4897) q[0];
ry(0.4996) q[1];
ry(0.4482) q[2];
ry(0.4952) q[3];
ry(0.2923) q[4];
ry(0.1644) q[5];
ry(0.4306) q[6];
ry(0.32) q[7];
ry(0.4852) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
4788755b9046cb997ec5043a21f8c9e6 | 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": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 215.64504265785217} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | 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(-9.1684) q[1];
ry(12.5337) q[5];
ry(34.5353) q[3];
ry(-6.435) q[6];
cry(37.3365) q[8], q[5];
cry(-63.431) q[8], q[1];
cry(-24.685) q[4], q[1];
cry(-62.9289) q[4], q[3];
cry(-35.6433) q[... | 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(-9.1684) 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] = ... |
03f82c0f8c82b2c5cf523b36fcfe2388 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [60, 63], "expectation_value": -2.5637007044973226, "params": [[-0.0845], [0.07780000000000001]], "bitstrings": ["1111000011", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.002112101587104251, 0.0022182743915383583], "optimization_time": 4.3031041622161865} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -2.0 * Z(1) + 2.0 * Z(0)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["1111000000"]} | 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[1], q[0];
rz(0.4225) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.4225) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.4225) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.4225) 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;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | {"node": 1} | {"circuits": [], "gradients": []} |
01c79553cd838cd252f6e60dedff49e5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 124.67371153831482} | -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 | 4 | {"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];
ry(1.5708) q[5];
cry(1.5706) q[6], q[3];
ry(0.7237) q[6];
ry(1.5698) q[2];
ry(1.5677) q[1];
cry(1.5695) q[3], q[4];
cry(0.5072) q[3], q[6];
cry(0.2743) q[4], q[3];
cry(1.4449) q[2], q[7];
cry(-1.4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a1d9899df34936ad9ddd849ff23271ff | 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": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [449, 448], "expectation_value": -3.3349227616861508, "params": [[-0.08320000000000001], [0.0785]], "bitstrings": ["000111110", "000111111"], "total_optimization_steps": 10, "probabilities": [0.003874412194703896, 0.00403878351443536], "optimization_time": 0.8017654418945312} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(3)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000111111"]} | 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(0.2496) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2496) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0832) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.5824) q[3];
cx q[6], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} |
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": [0, 127], "expectation_value": -8.43581671513732, "params": [[0.0809, 0.1983, -0.3584, -0.32380000000000003], [-0.49810000000000004, -0.1933, 0.2671, 0.1792]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 70, "probabilities": [0.10555315412253907, 0.10956156509402912], "optimization_ti... | -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 | 4 | {"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(-0.0404) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(-0.1213) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.2022) q[7];
cx q[0], q[7];
cx q[1], q[5];
rz(-0.1618) q[5];
cx q[1], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9ddcebaaa376040d7f40e787f62c4ee2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [92, 86], "expectation_value": -4.999899060659704, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 33, "probabilities": [1.641480323199846e-05, 0.9999303742100574], "optimization_time": 25.50068974494934} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["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(-1.5708) q[6];
ry(-1.5681) q[1];
ry(-1.4449) q[3];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[0], q[2];
cry(0.1216) q[2], q[5];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
4d7848bbad7b19d9302a5e47a96a2582 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -12.757867317908778, "params": [-0.0005, 0.20470000000000002, -0.0029000000000000002, 0.20450000000000002, -0.0026000000000000003, 0.2313, -0.0041, 0.2313, -0.0025, 0.2311, -0.0068000000000000005, 0.2432, 0.30820000000000003, 0.0046, 0.30860000000000004, -0.00030000000000000003... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -0.5 * (Z(11) @ Z(8)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(6) ... | 7 | 12 | 3 | {"smallest_eigenvalues": [-14.25, -14.25, -14.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.25, "smallest_bitstrings": ["110011111011", "111011111111", "111011111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0005) q[0];
rz(0.2047) q[0];
rx(-0.0026) q[1];
rz(0.2313) q[1];
rx(-0.0025) q[2];
rz(0.2311) q[2];
rx(0.3082) q[3];
rz(0.0046) q[3];
rx(-0.0048) q[4];
rz(0.2328) q[4];
rx(-0.0021) q[5];
rz(0.2374) q[5];
rx(-0.0046) q[6];
rz(0.2273) q[6];
rx(-0.0048) q[... | 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": 11} | {"circuits": [], "gradients": []} |
bbb18bb73753a73666e5ad52487ead16 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 1660], "expectation_value": -4.801813990985263, "params": [[0.07050000000000001], [-0.060200000000000004]], "bitstrings": ["11111111111", "00110000011"], "total_optimization_steps": 10, "probabilities": [0.0013177296486793378, 0.0013479703864665699], "optimization_time": 3.3832147121429443} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + 2.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + 2.0 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["00110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.4935) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.4935) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.4935) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.4935... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 8} | {"circuits": [], "gradients": []} |
5d4156bcf03d96be249adb6f40939435 | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [474, 218], "expectation_value": -37.69906869074651, "params": [[-0.0359, -0.005, 0.0039000000000000003, 0.0011], [0.0771, 0.0718, 0.065, 0.0589]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.014260137286072307, 0.018002240659986537], "optimization_time": 7.9... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 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(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "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];
cx q[1], q[0];
rz(-0.3231) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3231) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3231) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3231) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d33e4c0d2974592d2ca25f21d0fc0575 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 179], "expectation_value": -39.152883962085234, "params": [[[0.7917000000000001, 0.4405], [0.2748, 0.4781], [0.6933, 0.43010000000000004], [0.20220000000000002, 0.5586], [0.096, 0.783], [-0.0029000000000000002, 0.3514], [0.40650000000000003, 0.6226], [0.5308, -0.167]], [[0.7548, -0.0013000000000000002]... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(1)) + 17.5 * Z(2) + 11.0 * Z(1) + 17.5 * Z(0) + 8.5 * Z(4) + 1... | 15 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["01001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7917) q[0];
ry(0.2748) q[1];
ry(0.6933) q[2];
ry(0.2022) q[3];
ry(0.096) q[4];
ry(-0.0029) q[5];
ry(0.4065) q[6];
ry(0.5308) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(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, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} |
dc3cbe21e61f9483869115ba11272c4d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [74, 90], "expectation_value": -6.766540940609298, "params": [[[0.0018000000000000002, 0.0051, 0.0001, 0.0064], [0.0028, 1.3773, 0.0027, 0.007], [2.1073, 0.0037, 0.002, 0.00030000000000000003], [-0.0039000000000000003, -0.6605000000000001, 0.0032, 0.0068000000000000005], [1.5934000000000001, 0.00260000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) ... | 12 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["110110010", "110010110", "110100011", "110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0018) q[0];
rz(0.0051) q[0];
ry(0.0028) q[1];
rz(1.3773) q[1];
ry(2.1073) q[2];
rz(0.0037) q[2];
ry(-0.0039) q[3];
rz(-0.6605) q[3];
ry(1.5934) q[4];
rz(0.0026) q[4];
ry(0.0311) q[5];
rz(-0.0153) q[5];
ry(0.0026) q[6];
rz(0.0042) q[6];
ry(1.425) 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": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -5.478908410349426, "params": [[0.0395, 0.0057], [-0.038, -0.0201]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005147024422084704, 0.005318290693736362], "optimization_time": 6.803450107574463} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 5 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | 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(0.2172) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2172) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2172) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2172) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} |
3d348eb12d2c4daa7c8a912bc458fb31 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 206], "expectation_value": -114.43398156960912, "params": [-0.0012000000000000001, -0.47300000000000003, 0.0019, -0.43210000000000004, 0.2426, 0.2933, 0.79, -0.0074, 0.7886000000000001, 0.0031000000000000003, 0.0045000000000000005, 0.562, 0.1671, 0.3819, 0.7865000000000001, -0.0143, 0.786, 0.0214000000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 22.0 * Z(3) + 10.0 * Z(2) + 17... | 18 | 11 | 4 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["11100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0012) q[0];
rz(-0.473) q[0];
rx(0.0019) q[1];
rz(-0.4321) q[1];
rx(0.2426) q[2];
rz(0.2933) q[2];
rx(0.79) q[3];
rz(-0.0074) q[3];
rx(0.7886) q[4];
rz(0.0031) q[4];
rx(0.0045) q[5];
rz(0.562) q[5];
rx(0.1671) q[6];
rz(0.3819) q[6];
rx(0.7865) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-5860608191676456208 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [3, 4, 5, 6], [2, 3], [0, 3, 5, 6], [2, 5], [0, 4, 6], [1, 4, 5, 6], [1, 3, 5, 6], [0, 1, 3]]} | {"states": [75, 78], "expectation_value": -2.7962190620772795, "params": null, "bitstrings": ["0110100", "0110001"], "total_optimization_steps": 32, "probabilities": [0.0251146977594373, 0.9320165832938395], "optimization_time": 37.42567038536072} | 0.41666666666666663 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0110001"]} | 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(1.5405) q[3];
cry(-1.4448) q[3], q[2];
ry(1.5479) q[5];
ry(0.761) q[4];
cry(-0.9166) q[4], q[6];
cry(0.5034) q[5], q[4];
cry(-0.5163) q[0], q[6];
cry(0.7555) q[5], q[0];
cry(-0.9097) q[0], q[1];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5405) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
fc004364023d9de40312a47332ff3203 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [17, 34], "expectation_value": -1.3496294097088517, "params": [[0.059000000000000004, 0.055200000000000006, 0.061200000000000004, 0.0786], [-0.0553, -0.044700000000000004, -0.042800000000000005, -0.0641]], "bitstrings": ["101110", "011101"], "total_optimization_steps": 10, "probabilities": [0.027379813152114... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "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[1], q[0];
rz(0.059) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.059) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.059) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.059) q[5];
cx q[3], q[5];
cx q[1], q[4];
rz(0.059) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d030c61aecb3e0005b1eeeae4c1beaf6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [123, 127], "expectation_value": -14.932140630926707, "params": [-0.0025, -0.0024000000000000002, 0.002, -0.0022, -0.0038, -0.0012000000000000001, -1.0258, -1.0247, -0.0027, -0.0028, -0.0029000000000000002, -0.0029000000000000002, -0.0026000000000000003, -0.0023, -0.7043, 0.5979, -1.5244, 1.6115000000000002,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + -1.0 * Z(0) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0025) q[0];
ry(0.002) q[1];
ry(-0.0038) q[2];
ry(-1.0258) q[3];
ry(-0.0027) q[4];
ry(-0.0029) q[5];
ry(-0.0026) q[6];
ry(-0.7043) q[7];
ry(-1.5244) q[8];
ry(-1.5734) q[9];
crx(-0.0025) q[9], q[0];
crx(1.7698) q[8], q[9];
crx(0.996) q[7], q[8];
crx(-3.0... | 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[... | {"node": 0} | {"circuits": [], "gradients": []} |
bc9c43e07717e061a702258caa354cb1 | 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": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [35, 51], "expectation_value": -3.0327332244093768, "params": [0.3024, -0.3156, 0.3055, 0.0038, 0.7961, 0.3111, 0.7985, 0.009600000000000001, 0.8105, 0.0915, 0.8053, 0.0005, 0.802, 0.2417, 0.8004, 0.0009000000000000001, -0.013000000000000001, 0.4043, -0.0102, 0.0031000000000000003, -0.0083, 0.409900000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(7) + -0.5 * Z(0) + 0.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001110", "11001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3024) q[0];
rz(-0.3156) q[0];
rx(0.7961) q[1];
rz(0.3111) q[1];
rx(0.8105) q[2];
rz(0.0915) q[2];
rx(0.802) q[3];
rz(0.2417) q[3];
rx(-0.013) q[4];
rz(0.4043) q[4];
rx(-0.0083) q[5];
rz(0.4099) q[5];
rx(0.8017) q[6];
rz(0.3127) q[6];
rx(0.8053) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [206, 214], "expectation_value": -6.139051509921674, "params": [[-0.15660000000000002, -0.1193], [0.1792, 0.1671]], "bitstrings": ["100110001", "100101001"], "total_optimization_steps": 20, "probabilities": [0.013701382510980013, 0.013701382510980025], "optimization_time": 7.1146557331085205} | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100101001", "100110001"]} | 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[4], q[0];
rz(0.1566) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.3132) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.1566) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(-0.1566) q[6];
cx q[4], 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": 4} | {"circuits": [], "gradients": []} |
452721255938076845 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [5, 7], [0, 7], [2, 3], [0, 4], [2, 6]]} | {"states": [228, 214], "expectation_value": -2.6239581346999725, "params": null, "bitstrings": ["00011011", "00101001"], "total_optimization_steps": 60, "probabilities": [0.04904773182646255, 0.6981358048581305], "optimization_time": 74.23603773117065} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100100", "00011011", "11010110", "00101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[7];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[0], q[4];
ry(1.0293) q[0];
ry(-0.6992) q[4];
cry(-0.6534) q[1], q[7];
ry(0.9979) q[5];
cry(1.1473) q[5], q[1];
ry(-0.5076) q[7];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[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] = me... |
a580428593ca2a54e0f078f27f8703fa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [117, 125], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10001010", "10000010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 49.377166986465454} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"]} | 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(-1.5709) q[6];
ry(1.5706) q[1];
cry(1.5708) q[1], q[5];
cry(1.5681) q[5], q[3];
cry(1.4449) q[3], q[2];
cry(1.4433) q[5], q[7];
cry(-1.4448) q[7], q[0];
ry(0.0903) q[7];
cry(-0.1223) q[5], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
8083958203227597675 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4], [3, 5], [1, 11], [0, 9, 2], [0, 10], [8, 6], [0, 7]]} | {"states": [489, 2536], "expectation_value": -1.1569061269333862, "params": [[[1.3993, 1.3873], [-0.011600000000000001, 0.9864], [-0.7145, 1.405], [-0.1245, 1.4023], [0.8351000000000001, 0.6848000000000001], [0.5924, 0.7065], [-0.22610000000000002, 0.5861000000000001], [1.4002000000000001, 1.4065], [1.4076, 0.4118], [1... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(10) @ Z(8)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.3993) q[0];
ry(-0.0116) q[1];
ry(-0.7145) q[2];
ry(-0.1245) q[3];
ry(0.8351) q[4];
ry(0.5924) q[5];
ry(-0.2261) q[6];
ry(1.4002) q[7];
ry(1.4076) q[8];
ry(1.4041) q[9];
ry(1.4082) q[10];
ry(1.3978) 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[... | null | {"circuits": [], "gradients": []} |
-8124382677448939960 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 2], [0, 4], [0, 2, 3], [2, 5, 6], [1, 3, 4, 5], [1, 3, 4, 6], [0, 3, 5], [2, 4], [1, 2, 6]]} | {"states": [29, 89], "expectation_value": -2.472307205273711, "params": null, "bitstrings": ["1100010", "0100110"], "total_optimization_steps": 36, "probabilities": [0.11321800552382247, 0.8552738274237115], "optimization_time": 48.312758684158325} | 0.3333333333333333 * (Z(2) @ Z(3)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333326, "smallest_bitstrings": ["0100110"]} | 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(1.5592) q[2];
ry(1.3603) q[3];
cry(-1.4055) q[0], q[4];
ry(0.5582) q[0];
cry(-0.4174) q[2], q[4];
cry(0.5194) q[2], q[0];
ry(-0.2489) q[4];
cry(-0.7833) q[3], q[5];
ry(0.9519) q[6];
cry(-0.6159) q[6], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5592) 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", "... |
-2952389905029746833 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 7], [4, 5], [2, 5], [2, 4], [6, 7], [3, 5], [0, 4], [1, 4], [1, 6], [0, 5], [0, 6], [4, 6], [0, 8], [8, 5], [0, 2], [2, 7], [1, 2], [8, 7], [3, 7], [2, 3]]} | {"states": [425, 433], "expectation_value": -3.983016347764897, "params": null, "bitstrings": ["001010110", "001001110"], "total_optimization_steps": 83, "probabilities": [0.04469900839034747, 0.6966552398067123], "optimization_time": 141.19086861610413} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110101", "110001010", "001001110", "001001101", "110110010", "110110001"]} | 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(-1.0342) q[4], q[5];
cry(-1.0342) q[8], q[7];
ry(1.0293) q[8];
cry(1.4052) q[8], q[3];
cry(-0.9035) q[3], q[7];
cry(-0.7688) q[8], q[5];
ry(1.2466) q[4];
cry(-0.2421) q[3], q[5];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
e25375c2d0d05abe9c971ec0baf3e172 | 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": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -31.85622066615722, "params": [[-0.0256, -0.0228, 0.0098, 0.0083], [0.0478, 0.0671, 0.060200000000000004, 0.059300000000000005]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.012145480398275135, 0.015002830004120487], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "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(-0.2304) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.2304) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.2304) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(-0.2304) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
fd2b2d58ede740098c365e8851760db1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 1023], "expectation_value": -22.05438476042677, "params": [[[0.0025, 0.0032], [-0.0024000000000000002, 0.0095], [-1.6134000000000002, 0.008400000000000001], [0.0024000000000000002, 0.0098], [-0.12480000000000001, 0.009000000000000001], [0.0023, 0.0029000000000000002], [0.0022, 0.0053], [0.0022, 0.0074... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(12) @ Z(10)) + -1.5 * (Z(12) @ Z(9)) + -2.0 * (Z(11) @ Z(10... | 2 | 13 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0025) q[0];
rz(0.0032) q[0];
rx(-0.0024) q[1];
rz(0.0095) q[1];
rx(-1.6134) q[2];
rz(0.0084) q[2];
rx(0.0024) q[3];
rz(0.0098) q[3];
rx(-0.1248) q[4];
rz(0.009) q[4];
rx(0.0023) q[5];
rz(0.0029) q[5];
rx(0.0022) q[6];
rz(0.0053) q[6];
rx(0.0022) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
-1317166650248583423 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [1, 3, 7], [3, 6], [1, 4], [5, 7]]} | {"states": [212, 153], "expectation_value": -0.02977193099916054, "params": [[-0.0608], [0.060200000000000004]], "bitstrings": ["00101011", "01100110"], "total_optimization_steps": 10, "probabilities": [0.0041373705722043425, 0.004137370572204344], "optimization_time": 0.5610899925231934} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["11000110", "01100110", "00101011", "00011100", "10001011"]} | 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(-0.0203) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0203) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0203) q[3];
cx q[0], q[3];
cx q[3], q[1];
rz(-0.0203) q[1];
cx q[3], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 181.26462483406067} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 10 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | 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(-0.197) q[2];
ry(-0.3559) q[1];
ry(-0.2317) q[0];
ry(-0.5045) q[3];
cry(-1.2391) q[6], q[2];
cry(-1.2069) q[7], q[1];
cry(-1.066) q[5], q[3];
cry(-1.3391) q[4], q[0];
ry(1.1901) q[5];
cry(-0.44... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.36882508372196054, "params": [[0.0553, 0.060200000000000004, 0.0634], [-0.045000000000000005, -0.0489, -0.057]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.02252124940235579, 0.022521249402355798], "optimization_time": 2.824726581... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "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];
cx q[4], q[0];
rz(0.0553) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0553) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(0.0553) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(0.0553) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(0.0553... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
2ad6d55856f69d2786e314d4b42f7213 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [2047, 2043], "expectation_value": -17.022289882699702, "params": [[[0.0028, 3.1618], [0.0035, -0.0029000000000000002], [0.0019, 0.0026000000000000003], [0.002, 0.002], [0.0019, 0.0019], [0.0021000000000000003, 0.0019], [0.002, 0.0021000000000000003], [-0.0028, 0.0021000000000000003], [1.6181, 0.002900000000... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(9)) + -2.0 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(9)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0028) q[0];
ry(0.0035) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0019) q[4];
ry(0.0021) q[5];
ry(0.002) q[6];
ry(-0.0028) q[7];
ry(1.6181) q[8];
ry(0.0024) 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];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 7} | {"circuits": [], "gradients": []} |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -6.559863739882617, "params": [-0.0007, -0.0737, 0.0026000000000000003, 0.5214, 0.0029000000000000002, 0.5878, 0.0026000000000000003, 0.5984, -0.0014, 0.0053, 0.0024000000000000002, 0.5656, 0.0025, 0.5657, -0.0006000000000000001, -0.25980000000000003, 0.808, -0.0037, 0.0066, 0.00... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0007) q[0];
rz(-0.0737) q[0];
rx(0.0026) q[1];
rz(0.5214) q[1];
rx(0.0029) q[2];
rz(0.5878) q[2];
rx(0.0026) q[3];
rz(0.5984) q[3];
rx(-0.0014) q[4];
rz(0.0053) q[4];
rx(0.0024) q[5];
rz(0.5656) q[5];
rx(0.0025) q[6];
rz(0.5657) q[6];
rx(-0.0006) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d1a7b7cf714c6ef8e95d1c5632642a08 | 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": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [191, 959], "expectation_value": -9.838181984579476, "params": null, "bitstrings": ["1101000000", "0001000000"], "total_optimization_steps": 100, "probabilities": [0.13524956309819766, 0.44795159802916706], "optimization_time": 154.9801561832428} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"]} | 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(1.5706) q[9], q[7];
ry(1.056) q[9];
cry(1.5708) q[7], q[8];
cry(0.4026) q[8], q[7];
cry(1.5705) q[7], q[2];
cry(1.5681) q[5], q[6];
ry(1.0829) q[5];
cry(1.5701) q[6], q[4];
c... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[9], 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... |
-7569537366820539295 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11, 6, 7], [9, 10, 3, 5], [1, 2, 11, 4], [1, 10], [8, 11, 7], [2, 5], [8, 6], [1, 11, 4, 6], [8, 1, 7], [10, 4], [11, 4, 5, 7], [1, 4, 9], [0, 9, 7], [0, 11, 3, 5], [8, 4], [8, 0, 2, 3], [2, 6], [5, 6], [0, 10], [9, 3, 5, 1], [10, 2], [0, 2, 4], [0, 1... | {"states": [3565, 3475], "expectation_value": -5.69952509068883, "params": [[[3.1409000000000002, 0.0032], [3.1445000000000003, -0.0026000000000000003], [-0.003, 0.0022], [0.0015, 3.1388000000000003], [0.0024000000000000002, -0.0024000000000000002], [-0.004200000000000001, 1.6327], [0.0026000000000000003, 0.00290000000... | 0.25 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(9)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.083333333333332, "smallest_bitstrings": ["001001101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(3.1409) q[0];
ry(3.1445) q[1];
ry(-0.003) q[2];
ry(0.0015) q[3];
ry(0.0024) q[4];
ry(-0.0042) q[5];
ry(0.0026) q[6];
ry(3.1441) q[7];
ry(-0.0023) q[8];
ry(0.0037) q[9];
ry(1.8764) q[10];
ry(-0.0013) 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[... | null | {"circuits": [], "gradients": []} |
-4004897454765257894 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 6, 7], [3, 5, 6, 8, 9, 10, 11], [0, 1, 2, 3, 5, 7, 8, 11], [9, 2, 5, 6], [0, 2, 3, 4, 6, 8], [1, 9], [9, 6, 7], [1, 3, 4, 5, 6, 8, 10, 11], [2, 11, 4, 6], [0, 1, 2, 5, 6, 7, 10, 11], [0, 1, 2, 3, 4, 5, 10], [0, 3, 4, 5, 6], [0, 1, 4, 7, 10], [5,... | {"states": [1694, 1758], "expectation_value": -2.5694694015530883, "params": [0.5942000000000001, 0.5928, 0.9836, 0.9794, 1.5803, 1.5753000000000001, 0.5773, 0.5777, 1.4653, 1.4658, 0.8633000000000001, 0.8484, 0.6489, 0.6439, 1.5774000000000001, 1.5748, 1.5746, 1.5717, 1.5859, 1.582, 1.4522000000000002, 1.4425000000000... | 0.14166666666666666 * (Z(1) @ Z(6)) + 0.22499999999999998 * (Z(7) @ Z(6)) + 0.12738095238095237 * (Z(7) @ Z(1)) + 0.23452380952380952 * (Z(8) @ Z(6)) + 0.08571428571428572 * (Z(8) @ Z(1)) + 0.24285714285714283 * (Z(8) @ Z(7)) + 0.18333333333333335 * (Z(9) @ Z(6)) + 0.13571428571428573 * (Z(9) @ Z(1)) + 0.20238095238095... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.263095238095238, "smallest_bitstrings": ["100100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.5942) q[0];
ry(0.9836) q[1];
ry(1.5803) q[2];
ry(0.5773) q[3];
ry(1.4653) q[4];
ry(0.8633) q[5];
ry(0.6489) q[6];
ry(1.5774) q[7];
ry(1.5746) q[8];
ry(1.5859) q[9];
ry(1.4522) q[10];
ry(0.3806) q[11];
crz(-0.5771) q[11], q[0];
crz(0.5798) q[10], q[11];
... | 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": []} |
533fcd480a5175680493f52fe07173d6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -13.149650203866983, "params": [-0.015000000000000001, 0.010700000000000001, -0.0019, -0.0002, -1.1095000000000002, -0.9316000000000001, -0.0025, -0.0019, 0.002, 0.0028, 0.0049, 0.0053, -0.0206, 0.0048000000000000004, 0.5167, 0.5164, -0.0021000000000000003, -0.002900000000000000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 14 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.015) q[0];
ry(-0.0019) q[1];
ry(-1.1095) q[2];
ry(-0.0025) q[3];
ry(0.002) q[4];
ry(0.0049) q[5];
ry(-0.0206) q[6];
ry(0.5167) q[7];
crx(0.0017) q[7], q[0];
crx(-0.1422) q[6], q[7];
crx(0.7188) q[5], q[6];
crx(1.3101) q[4], q[5];
crx(-1.1967) q[3], q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
95cd968028de95e9bd1f0d835e513284 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [88, 38], "expectation_value": -0.1022745007047373, "params": [[0.057300000000000004], [-0.0465]], "bitstrings": ["0100111", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008359612830765573, 0.008448468148346561], "optimization_time": 2.6224846839904785} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "0100111", "1100011", "1011001"]} | 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(0.0573) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0573) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0573) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0573) q[6];
cx q[0], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
5c98350c1bcf1da2fcaddbe60b0ac381 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [69, 197], "expectation_value": -3.2750530918517513, "params": [0.48560000000000003, 0.00030000000000000003, 0.4798, 0.0001, 0.509, -0.0031000000000000003, 0.5068, -0.0018000000000000002, 0.0014, 0.2587, -0.0004, 0.2661, 0.0551, 0.3064, 0.0505, 0.3078, 0.030600000000000002, 0.2892, 0.0341, 0.2975, 0.5062, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(4) + 0.0 * Z(1) + -1.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(7) | 7 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101100", "10101010", "00111010", "01110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4856) q[0];
rz(0.0003) q[0];
rx(0.509) q[1];
rz(-0.0031) q[1];
rx(0.0014) q[2];
rz(0.2587) q[2];
rx(0.0551) q[3];
rz(0.3064) q[3];
rx(0.0306) q[4];
rz(0.2892) q[4];
rx(0.5062) q[5];
rz(0.0097) q[5];
rx(0.0801) q[6];
rz(0.2889) q[6];
rx(0.5092) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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