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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4eebe9a8a97a840077f78c3a170e65f1 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.4274390209679027, "params": [[-0.050800000000000005, -0.0629], [0.0659, 0.0694]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011773018907917748, 0.012456613523512624], "optimization_time": 4.686901092529297} | -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 | 2 | {"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];
cx q[1], q[0];
rz(0.0508) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0254) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0762) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0508) q[2];
cx q[5], q[2];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5427330770951355531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 4, 6], [8, 0, 3, 6], [8, 2], [6, 7], [9, 2, 4, 5], [1, 3, 7], [0, 4, 5], [0, 1, 4], [0, 9], [2, 3, 6], [8, 9, 1], [2, 3, 7], [8, 9, 5, 7], [0, 1, 6], [0, 8, 4, 6], [9, 2, 3, 5], [0, 2, 4, 7], [8, 1, 4, 7]]} | {"states": [509, 505], "expectation_value": -3.7537565926496117, "params": [0.0742, 0.0757, 1.6132, 1.5250000000000001, 1.1114, 1.2878, 1.7015, 1.356, 1.5313, 1.6259000000000001, 1.8849, 1.155, 1.2744, 1.3283, 1.8721, 1.2939, 1.2887, 1.848, 1.6596000000000002, 1.4774, 0.0603, 1.8748, 1.3241, -0.3431, 0.1114, 1.4086, 0.... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.49999999999999994 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0)... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.583333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.416666666666667, "smallest_bitstrings": ["1000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0742) q[0];
ry(1.6132) q[1];
ry(1.1114) q[2];
ry(1.7015) q[3];
ry(1.5313) q[4];
ry(1.8849) q[5];
ry(1.2744) q[6];
ry(1.8721) q[7];
ry(1.2887) q[8];
ry(1.6596) q[9];
crx(0.0603) q[9], q[0];
crx(-0.1646) q[8], q[9];
crx(-0.4442) q[7], q[8];
crx(0.5133) 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": []} |
238da0afcff22b3cc95b712a7ad70447 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [369, 371], "expectation_value": -1.0743222684104616, "params": [0.5709000000000001, 0.12390000000000001, 0.30720000000000003, 0.2111, 0.6979000000000001, -0.001, 0.7031000000000001, -0.038900000000000004, 0.6997, 0.29910000000000003, 0.3274, 0.36510000000000004, 0.2823, 0.2051, 0.5592, -0.000300000000000000... | 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)) + 0.5 * (Z(4... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5709) q[0];
rz(0.1239) q[0];
rx(0.3072) q[1];
rz(0.2111) q[1];
rx(0.6979) q[2];
rz(-0.001) q[2];
rx(0.7031) q[3];
rz(-0.0389) q[3];
rx(0.6997) q[4];
rz(0.2991) q[4];
rx(0.3274) q[5];
rz(0.3651) q[5];
rx(0.2823) q[6];
rz(0.2051) q[6];
rx(0.5592) 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": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 108.57985663414001} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.5926) q[6], q[3];
ry(0.8622) q[4];
cry(-0.8963) q[5], q[3];
ry(0.8608) q[0];
cry(-1.1915) q[1], q[2];
cry(0.6159) q[4], q[0];
ry(0.7334) q[5];
cry(-0.4569) q[4], q[3];
cry(0.9004) q[5], q[6... | 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(-0.5926) q[6], 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] = me... |
1c80f3c75b1022b250456b9adb4d4588 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [1023, 4095], "expectation_value": -0.5251832487317649, "params": [[-0.0392], [0.0415]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00030480041775892124, 0.0003048004177589214], "optimization_time": 6.205612421035767} | -1.5 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["110000000000", "000000000000"]} | 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[0], q[1];
rz(0.1176) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.1176) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0392) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[0], q[1];
rz(x0... | {"node": 0} | {"circuits": [], "gradients": []} |
cab05bbaa5c9bc16d2f9a258ea5a953c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [67, 83], "expectation_value": -6.509604610735069, "params": [0.0018000000000000002, -0.0044, -0.0012000000000000001, -0.0004, 0.0005, -0.0002, 0.8087000000000001, 0.8007000000000001, 0.33790000000000003, 0.3099, 0.8011, 0.8064, 0.1388, 0.1431, 0.1918, 0.1933, 0.8043, 0.8043, 0.807, 0.8037000000000001, -0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1110101100", "1110011100", "1111011000", "0111111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0018) q[0];
ry(-0.0012) q[1];
ry(0.0005) q[2];
ry(0.8087) q[3];
ry(0.3379) q[4];
ry(0.8011) q[5];
ry(0.1388) q[6];
ry(0.1918) q[7];
ry(0.8043) q[8];
ry(0.807) q[9];
crz(-0.0035) q[9], q[0];
crz(-0.004) q[8], q[9];
crz(-0.2182) q[7], q[8];
crz(0.3082) 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": []} |
a51181bafa7bcb3e3b3a50a4cac69c67 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [504, 507], "expectation_value": -12.75513341362285, "params": null, "bitstrings": ["000000111", "000000100"], "total_optimization_steps": 100, "probabilities": [0.13571569807323755, 0.48685738156686026], "optimization_time": 215.72942876815796} | -2.0 * (Z(0) @ Z(4)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[3], q[4];
ry(1.0258) q[3];
cry(1.5708) q[1], q[2];
ry(1.1135) q[1];
cry(1.5708) q[1], q[5];
ry(0.4431) q[4];
cry(-0.6222) q[5], q[3];
cry(-0.0389) q[4], q[3];
cry(0.3121) q[1... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], 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... |
b1983a1e4f06f774f7ec1ed4bb689b87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3542, 1495], "expectation_value": -2.692407714970666, "params": [[[0.6647000000000001, 0.0081], [0.8991, 0.0034000000000000002], [0.1681, 0.0071], [0.9042, 0.10110000000000001], [0.5952000000000001, 0.1835], [0.8982, 0.2212], [0.0495, 0.1328], [0.8854000000000001, 0.35650000000000004], [0.28900000000000003,... | 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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.9375, "smallest_bitstrings": ["010001101000", "001100100010", "001100100001", "010100100001",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6647) q[0];
ry(0.8991) q[1];
ry(0.1681) q[2];
ry(0.9042) q[3];
ry(0.5952) q[4];
ry(0.8982) q[5];
ry(0.0495) q[6];
ry(0.8854) q[7];
ry(0.289) q[8];
ry(0.0589) q[9];
ry(0.4317) q[10];
ry(0.579) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [121, 118], "expectation_value": -8.788921213791863, "params": [[0.045000000000000005, -0.0374], [-0.0614, -0.0021000000000000003]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0067442083829207895, 0.007595923798325183], "optimization_time": 4.183308839797974} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | 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(0.36) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.36) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.36) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.36) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [9, 3], "expectation_value": -11.977103392676792, "params": [[-0.048100000000000004, -0.0223, 0.0424], [0.0679, 0.0592, 0.0034000000000000002]], "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01674186468223937, 0.01764184558691632], "optimization_time": 7.2232935428... | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 14 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.2646) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2646) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2646) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2646) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
120bed499187e0b77564ccc1defdb812 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [104, 232], "expectation_value": -5.330108098298064, "params": [0.8417, 0.0001, 0.8053, 0.0038, 0.9045000000000001, 0.0489, 0.9058, 0.0068000000000000005, 0.9019, 0.26990000000000003, 0.9002, 0.0016, 0.3452, -0.4312, 0.2862, 0.0018000000000000002, 0.9082, 0.0477, 0.9108, 0.007200000000000001, -0.002900000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(3) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8417) q[0];
rz(0.0001) q[0];
rx(0.9045) q[1];
rz(0.0489) q[1];
rx(0.9019) q[2];
rz(0.2699) q[2];
rx(0.3452) q[3];
rz(-0.4312) q[3];
rx(0.9082) q[4];
rz(0.0477) q[4];
rx(-0.0029) q[5];
rz(0.5441) q[5];
rx(0.0266) q[6];
rz(0.5877) q[6];
rx(-0.0124) 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": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [415, 413], "expectation_value": -5.035185063556209, "params": [0.42400000000000004, 0.0184, 0.42310000000000003, 0.0024000000000000002, 0.36560000000000004, 0.0267, 0.3659, 0.0059, 0.20770000000000002, -0.1273, 0.2084, -0.1403, 0.18910000000000002, -0.1547, 0.1832, -0.1661, 0.4138, 0.0234, 0.4189, 0.0056, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.424) q[0];
rz(0.0184) q[0];
rx(0.3656) q[1];
rz(0.0267) q[1];
rx(0.2077) q[2];
rz(-0.1273) q[2];
rx(0.1891) q[3];
rz(-0.1547) q[3];
rx(0.4138) q[4];
rz(0.0234) q[4];
rx(0.4249) q[5];
rz(0.0182) q[5];
rx(0.4232) q[6];
rz(0.0192) q[6];
rx(0.2159) 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
a369690b9b65e00c6c142199e68049c1 | 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": [63, 47], "expectation_value": -73.68700387381577, "params": [0.3481, 0.5923, -0.0059, -0.6962, 1.3979000000000001, -0.1772, 0.7793, -0.4037, 1.4023, -0.0045000000000000005, 1.3936000000000002, 0.1154, 1.3994, -0.0019, 1.3951, 0.3126, 0.34490000000000004, 0.0032, -0.0119, 0.0046, 1.3984, 0.0077, 0.7708, 0.00... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + -1.5 * Z(1) + 23.0 * Z(2) + 14.5 * Z(4) + 1.5 * Z(0) + 1... | 18 | 8 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3481) q[0];
rz(0.5923) q[0];
rx(-0.0059) q[1];
rz(-0.6962) q[1];
rx(1.3979) q[2];
rz(-0.1772) q[2];
rx(0.7793) q[3];
rz(-0.4037) q[3];
rx(1.4023) q[4];
rz(-0.0045) q[4];
rx(1.3936) q[5];
rz(0.1154) q[5];
rx(1.3994) q[6];
rz(-0.0019) q[6];
rx(1.3951) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} |
5149137613144097099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5, 6, 7], [0, 2, 3, 4, 6], [1, 6], [2, 3, 6, 7], [0, 1, 2, 3, 4, 7], [2, 5], [0, 1, 3, 5, 7]]} | {"states": [31, 241], "expectation_value": -0.8237449007653712, "params": [[0.3744], [-0.35800000000000004]], "bitstrings": ["11100000", "00001110"], "total_optimization_steps": 40, "probabilities": [0.011446218199208198, 0.011450810504334831], "optimization_time": 2.0575640201568604} | 0.18333333333333335 * (Z(0) @ Z(3)) + 0.1 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.13333333333333336 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.95, "smallest_bitstrings": ["00001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.1373) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0749) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0749) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.1373) q[6];
cx q[3], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -3.4784307577825633, "params": [[[0.7022, 0.0078000000000000005], [0.8540000000000001, 0.0098], [0.8513000000000001, 0.0046], [1.6053000000000002, 0.0012000000000000001], [1.6033000000000002, 0.0014]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 160, "probabili... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.7022) q[0];
rz(0.0078) q[0];
rx(0.854) q[1];
rz(0.0098) q[1];
rx(0.8513) q[2];
rz(0.0046) q[2];
rx(1.6053) q[3];
rz(0.0012) q[3];
rx(1.6033) q[4];
rz(0.0014) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} |
e136dd3cea407d3fe443210f8cf0dea7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 8, "source": 2, "target": 3}, {"weight": 16, "sourc... | {"states": [229, 197], "expectation_value": -55.61646099645227, "params": [[[0.0028, 1.0285], [1.4046, -0.0012000000000000001], [1.4009, -0.0017000000000000001], [0.7466, 0.30860000000000004], [-0.0026000000000000003, 0.6701], [0.0018000000000000002, -0.7829], [1.0474, -0.0193], [0.0032, 0.9803000000000001], [1.3979000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 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(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 0.5 * Z(1) + -10.0 * Z(0) + 6.0 * Z(2) + 3.0 * Z(3) + -3... | 1 | 9 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0028) q[0];
rz(1.0285) q[0];
rx(1.4046) q[1];
rz(-0.0012) q[1];
rx(1.4009) q[2];
rz(-0.0017) q[2];
rx(0.7466) q[3];
rz(0.3086) q[3];
rx(-0.0026) q[4];
rz(0.6701) q[4];
rx(0.0018) q[5];
rz(-0.7829) q[5];
rx(1.0474) q[6];
rz(-0.0193) q[6];
rx(0.0032) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | 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": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [51, 54], "expectation_value": -4.499861120048025, "params": null, "bitstrings": ["1001100", "1001001"], "total_optimization_steps": 32, "probabilities": [1.7113027027474555e-05, 0.9999110896043665], "optimization_time": 30.132447242736816} | 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(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001001"]} | 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[3];
ry(-1.4449) q[0];
ry(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[2];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[6];
cry(-0.1259) q[4], q[0];
cry(0.1243) q[5], q[4];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e840bd3ec781deb729460bc3f6760492 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [165, 181], "expectation_value": -72.8654474513898, "params": [[[0.7887000000000001, 0.0363], [0.29150000000000004, 0.038700000000000005], [-0.1767, 0.3138], [-0.0019, 1.5187000000000002], [1.5770000000000002, 1.4742000000000002], [-0.0022, -0.09230000000000001], [0.0027, 1.5727], [-0.781, -0.002600000000000... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 24.0 * Z(3) + 15.5 * Z(1) + 17.0 * Z(4) + 12.0 * Z(2) + 4.5 * Z(5) + 7.0 * Z(6) + 3.5 * Z(7) + -0.5 ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7887) q[0];
ry(0.2915) q[1];
ry(-0.1767) q[2];
ry(-0.0019) q[3];
ry(1.577) q[4];
ry(-0.0022) q[5];
ry(0.0027) q[6];
ry(-0.781) q[7];
ry(-0.002) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
ccfaf6bcbef4d9a1584b2236770a9125 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [7, 135], "expectation_value": -3.9509193695970257, "params": [0.8023, -0.0031000000000000003, -0.0134, 0.4893, 0.29810000000000003, -0.191, 0.1794, -0.2982, -0.013800000000000002, 0.4525, 0.8051, 0.23850000000000002, 0.8097000000000001, 0.0017000000000000001, 0.8045, 0.0024000000000000002, 0.802, 0.00960000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8023) q[0];
rz(-0.0031) q[0];
rx(-0.0134) q[1];
rz(0.4893) q[1];
rx(0.2981) q[2];
rz(-0.191) q[2];
rx(0.1794) q[3];
rz(-0.2982) q[3];
rx(-0.0138) q[4];
rz(0.4525) q[4];
rx(0.8051) q[5];
rz(0.2385) q[5];
rx(0.8097) q[6];
rz(0.0017) q[6];
rx(0.8045) 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": []} |
5da6b1a543b3f492255d9f7e7c7c2e8c | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [156, 28], "expectation_value": -4.176657818521687, "params": [0.7351000000000001, -0.0342, 0.5869, 0.0901, 0.0025, 0.533, 0.8451000000000001, 0.2559, 0.9101, -0.0006000000000000001, 0.9046000000000001, 0.0015, 0.0027, 0.5967, -0.003, 0.6038, 0.7273000000000001, 0.0063, 0.5831000000000001, 0.0049, 0.0037, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.5 * ... | 3 | 8 | 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": ["00110111", "10100111", "11100011", "01110011", "01110101", "01011101", "01011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7351) q[0];
rz(-0.0342) q[0];
rx(0.5869) q[1];
rz(0.0901) q[1];
rx(0.0025) q[2];
rz(0.533) q[2];
rx(0.8451) q[3];
rz(0.2559) q[3];
rx(0.9101) q[4];
rz(-0.0006) q[4];
rx(0.9046) q[5];
rz(0.0015) q[5];
rx(0.0027) q[6];
rz(0.5967) q[6];
rx(-0.003) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b537d46c95ff0b70fb1b318ff43c65b2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [44, 46], "expectation_value": -5.067057207348913, "params": [-0.008700000000000001, 0.4606, -0.0051, 0.46780000000000005, 0.0022, 0.6393, 0.0034000000000000002, 0.6397, 0.7815000000000001, 0.0026000000000000003, 0.7814, 0.1087, -0.0027, 0.6182000000000001, -0.0018000000000000002, 0.6252, 0.7889, -0.00120000... | 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -0.5 * Z(2) + -1.5 * Z... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["11010001", "10110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0087) q[0];
rz(0.4606) q[0];
rx(0.0022) q[1];
rz(0.6393) q[1];
rx(0.7815) q[2];
rz(0.0026) q[2];
rx(-0.0027) q[3];
rz(0.6182) q[3];
rx(0.7889) q[4];
rz(-0.0012) q[4];
rx(0.7793) q[5];
rz(-0.0027) q[5];
rx(0.4235) q[6];
rz(-0.0037) q[6];
rx(0.0041) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9a3a3414616c79e03b68e777bcdd167d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [3871, 3967], "expectation_value": -0.6030260765838156, "params": [[0.0472], [-0.0413]], "bitstrings": ["000011100000", "000010000000"], "total_optimization_steps": 10, "probabilities": [0.00031937435234438266, 0.0003217730457273389], "optimization_time": 2.6215133666992188} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(10) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000010000000", "000011100000"]} | 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(-0.1888) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1888) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0472) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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(x0... | {"node": 4} | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [252, 126], "expectation_value": -1.952027494355063, "params": null, "bitstrings": ["100000011", "110000001"], "total_optimization_steps": 78, "probabilities": [0.11524148036605318, 0.4593589650678186], "optimization_time": 235.66005611419678} | 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... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | 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(1.0342) q[5];
ry(0.6657) q[2];
cry(-1.037) q[7], q[8];
cry(0.7283) q[5], q[2];
cry(0.4059) q[2], q[5];
cry(-0.4638) q[8], q[7];
cry(-0.5654) q[6], q[0];
ry(0.8039) q[3];
cry(-0.8766) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.0342) 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] = m... |
d41e3eacf3834dd0b9753433ef423092 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [509, 508], "expectation_value": -25.006842027945357, "params": [[[-0.0024000000000000002, 2.7142], [-0.0027, -0.0023], [-0.0036000000000000003, -0.003], [-0.0031000000000000003, -0.0031000000000000003], [0.002, -0.0024000000000000002], [-0.0021000000000000003, -0.0019], [-0.0022, 0.0021000000000000003], [1.... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(6)) + -2.5 * (Z(5) @ Z(1)) + 1.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0024) q[0];
ry(-0.0027) q[1];
ry(-0.0036) q[2];
ry(-0.0031) q[3];
ry(0.002) q[4];
ry(-0.0021) q[5];
ry(-0.0022) q[6];
ry(1.6441) q[7];
ry(-0.0024) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 9} | {"circuits": [], "gradients": []} |
7213bcdac492d012065ef417f31c81b5 | 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": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 206.42032074928284} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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];
ry(3.0513) q[6];
ry(0.0779) q[1];
ry(5.229) q[5];
ry(20.2391) q[3];
cry(12.6506) q[3], q[6];
cry(21.6605) q[3], q[1];
cry(-13.8669) q[1], q[6];
ry(1.2595) q[2];
cry(10.0669) q[2], q[6];
cr... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) 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] = m... |
f9bee249f44c25e9cf092d52cb18e2af | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 5}, {"weight": 15, "sourc... | {"states": [490, 234], "expectation_value": -67.67366295659582, "params": [0.1885, 0.10200000000000001, 0.1879, 0.09620000000000001, 0.389, -0.0155, 0.3975, -0.0206, 0.39730000000000004, 0.0172, 0.3966, 0.0159, 0.38770000000000004, -0.0091, 0.3942, -0.015600000000000001, 0.0056, 0.22940000000000002, 0.0032, 0.2564, 0.3... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(1) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1885) q[0];
rz(0.102) q[0];
rx(0.389) q[1];
rz(-0.0155) q[1];
rx(0.3973) q[2];
rz(0.0172) q[2];
rx(0.3877) q[3];
rz(-0.0091) q[3];
rx(0.0056) q[4];
rz(0.2294) q[4];
rx(0.3964) q[5];
rz(0.0079) q[5];
rx(0.1732) q[6];
rz(-0.0958) q[6];
rx(0.3912) 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] 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [359, 355], "expectation_value": -6.089491235992701, "params": [-0.44830000000000003, -0.001, 0.3629, 0.0097, 0.49250000000000005, 0.0027, -0.4001, 0.0049, 0.6881, 0.0036000000000000003, -0.6814, 0.0054, 0.8086, -0.0019, 0.8043, 0.0068000000000000005, 0.4169, -0.006200000000000001, -0.2838, 0.0046, 0.8076, -... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 6 | 12 | 1 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.4483) q[0];
rz(-0.001) q[0];
rx(0.4925) q[1];
rz(0.0027) q[1];
rx(0.6881) q[2];
rz(0.0036) q[2];
rx(0.8086) q[3];
rz(-0.0019) q[3];
rx(0.4169) q[4];
rz(-0.0062) q[4];
rx(0.8076) q[5];
rz(-0.0037) q[5];
rx(0.8082) q[6];
rz(-0.0008) q[6];
rx(0.7959) 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": 5} | {"circuits": [], "gradients": []} |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [7, 455], "expectation_value": -16.690092870094336, "params": [-0.0026000000000000003, -0.2091, 0.0025, 0.38330000000000003, -1.6227, -0.0, 0.0025, 0.010400000000000001, 0.0024000000000000002, 0.012, 0.0023, 0.9632000000000001, 0.0026000000000000003, 0.3254, 0.0022, -0.4566, -1.6458000000000002, 0.0089, 3.13... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 4 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0026) q[0];
rz(-0.2091) q[0];
rx(0.0025) q[1];
rz(0.3833) q[1];
rx(-1.6227) q[2];
rz(0) q[2];
rx(0.0025) q[3];
rz(0.0104) q[3];
rx(0.0024) q[4];
rz(0.012) q[4];
rx(0.0023) q[5];
rz(0.9632) q[5];
rx(0.0026) q[6];
rz(0.3254) q[6];
rx(0.0022) q[7];
rz(-0.45... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [17, 20], "expectation_value": -0.5342904083054252, "params": [[0.07350000000000001, 0.0733, 0.0648, 0.0592], [-0.0702, -0.0722, -0.0587, -0.0516]], "bitstrings": ["01110", "01011"], "total_optimization_steps": 10, "probabilities": [0.04985234709936551, 0.04985234709936552], "optimization_time": 3.9371623992... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "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];
cx q[1], q[0];
rz(0.0735) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0735) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0735) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.0735) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0735) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [109, 110], "expectation_value": -2.9952854066618197, "params": null, "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 54, "probabilities": [0.07769502901641709, 0.7755989784923617], "optimization_time": 88.64602494239807} | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"]} | 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(-1.5158) q[3];
cry(-1.3016) q[6], q[7];
ry(0.7835) q[6];
ry(-0.532) q[7];
ry(1.0334) q[4];
cry(-1.2414) q[5], q[0];
ry(1.29) q[1];
cry(0.5007) q[1], q[4];
cry(-0.5429) q[2], q[0];
ry(0.9089) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5158) 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... |
5244847474872220778 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 4], [8, 4], [0, 1, 2, 3, 6], [0, 2, 7], [3, 6, 7], [9, 7], [5, 7], [0, 2, 3, 8, 9], [0, 2, 3, 5], [0, 1, 2, 5], [0, 1, 6, 8, 9], [9, 5, 6], [1, 7], [1, 2, 3, 4, 6], [0, 9, 2, 5], [0, 3, 7], [0, 1, 3, 8, 9], [0, 3, 5, 8, 9], [0, 1, 2, 9]]} | {"states": [1017, 889], "expectation_value": -4.084105509632029, "params": [1.3876000000000002, 0.07, 1.3827, 0.0031000000000000003, 1.3925, 0.0641, 1.3956000000000002, 0.004, 1.1046, -0.217, 0.931, 0.0014, 1.3874, 0.0616, 1.3876000000000002, 0.004, 1.3976000000000002, 0.0742, 1.3907, 0.0056, 1.3819000000000001, 0.0775... | 0.3833333333333333 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.05 * (Z(8) @ Z(2)) + 0.2 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.6 * (Z(0) @ Z(2)) + 0.36666666666666664 * (Z(0) @ Z(9)) + 0.2 * (Z(0) @ Z(8)) + 0.26666666666666666 * (Z(1) @ Z(2)) + 0.18333333333333335 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.199999999999999, "smallest_bitstrings": ["0010000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3876) q[0];
rz(0.07) q[0];
rx(1.3925) q[1];
rz(0.0641) q[1];
rx(1.1046) q[2];
rz(-0.217) q[2];
rx(1.3874) q[3];
rz(0.0616) q[3];
rx(1.3976) q[4];
rz(0.0742) q[4];
rx(1.3819) q[5];
rz(0.0775) q[5];
rx(1.3377) q[6];
rz(0.0754) q[6];
rx(0.5008) 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": []} |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [65, 3], "expectation_value": -13.719773328639574, "params": [[0.047, 0.020300000000000002], [-0.08170000000000001, -0.0704]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.018158808237055388, 0.01979314009611477], "optimization_time": 4.330473899841309} | 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... | 18 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(0.2585) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2585) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2585) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2585) 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": 5} | {"circuits": [], "gradients": []} |
abfc65dd279c9be0771666a7af1df613 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [512, 1], "expectation_value": -19.861328366155988, "params": null, "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 32, "probabilities": [0.15439554960726937, 0.8264426054076872], "optimization_time": 49.33715343475342} | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"]} | 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];
ry(-1.5708) q[1];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(-1.5708) q[8];
cry(-1.5708) q[9], q[0];
ry(1.1805) q[9];
ry(-0.5715) q[0];
ry(-1.5708) q[4];
ry(-1.5706) q[7];
ry(-1.5708... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[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... |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -9.037032181056668, "params": [[[-0.0032, 0.007500000000000001], [0.0025, 0.0005], [0.0023, 0.0029000000000000002], [0.0024000000000000002, 0.0006000000000000001], [0.0023, 0.0001], [0.0027, 0.0098], [0.0023, 0.0018000000000000002], [1.6079, 0.0058000000000000005]]], "bitstrings"... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0032) q[0];
rz(0.0075) q[0];
rx(0.0025) q[1];
rz(0.0005) q[1];
rx(0.0023) q[2];
rz(0.0029) q[2];
rx(0.0024) q[3];
rz(0.0006) q[3];
rx(0.0023) q[4];
rz(0.0001) q[4];
rx(0.0027) q[5];
rz(0.0098) q[5];
rx(0.0023) q[6];
rz(0.0018) q[6];
rx(1.6079) 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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [311, 190], "expectation_value": -0.1777067727528618, "params": [[0.0704, 0.0789], [-0.0507, -0.07400000000000001]], "bitstrings": ["011001000", "101000001"], "total_optimization_steps": 10, "probabilities": [0.0028408578051010124, 0.0028415277753374266], "optimization_time": 11.467004537582397} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"]} | 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(0.0704) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0352) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0352) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0352) q[3];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
8448130467815427345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 5], [1, 2, 4], [1, 6, 7], [0, 1, 4, 5], [1, 3, 4, 5], [1, 2, 5, 7]]} | {"states": [205, 77], "expectation_value": -1.824313166574322, "params": null, "bitstrings": ["00110010", "10110010"], "total_optimization_steps": 51, "probabilities": [0.2672763235516098, 0.5254531367791095], "optimization_time": 75.21194696426392} | 0.5 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(0)) + 0.3 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(5)) + 0.05 * (Z(3) @ Z(0)) + 0.1333333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666665, "smallest_bitstrings": ["10110010"]} | 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(1.5567) q[1];
cry(-1.0342) q[5], q[6];
ry(0.9817) q[5];
cry(-0.6683) q[1], q[6];
cry(0.4284) q[1], q[5];
ry(-0.2875) q[6];
cry(0.5535) q[5], q[7];
cry(-0.5497) q[4], q[2];
ry(0.4759) q[7];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5567) 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[... |
dcaf4af6d02916eda9058c67c3edc444 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [0, 509], "expectation_value": -8.682799499199024, "params": [[[-0.0629, 0.6085], [-0.404, -0.2909], [0.0013000000000000002, 0.1228], [0.0024000000000000002, -0.0035], [0.0027, 0.0022], [0.0027, 0.0037], [-0.0015, 0.0034000000000000002], [0.0021000000000000003, -0.0031000000000000003], [-0.099, -0.0511], [-0... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0629) q[0];
ry(-0.404) q[1];
ry(0.0013) q[2];
ry(0.0024) q[3];
ry(0.0027) q[4];
ry(0.0027) q[5];
ry(-0.0015) q[6];
ry(0.0021) q[7];
ry(-0.099) q[8];
ry(-0.0144) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
53fd70b7ce4659cd92d050c8100f2208 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [119, 255], "expectation_value": -5.244644214570055, "params": null, "bitstrings": ["110001000", "100000000"], "total_optimization_steps": 90, "probabilities": [0.20272249624966215, 0.7922762665124301], "optimization_time": 174.95294952392578} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000000", "110001000", "110011010", "110001010"]} | 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[2];
cry(1.4449) q[2], q[4];
cry(1.4433) q[4], q[7];
cry(1.4449) q[2], q[8];
cry(-1.5481) q[8], q[0];
cry(1.0342) q[2], q[3];
cry(1.4119) q[2], q[6];
ry(0.5045) q[3];
cry(1.031... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
7088493197993040929 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 4], [3, 5], [1, 5], [2, 4], [2, 5], [2, 6]]} | {"states": [7, 120], "expectation_value": -0.058817215805108264, "params": [[-0.061200000000000004], [0.0698]], "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008762949021033506, 0.008762949021033506], "optimization_time": 0.47312188148498535} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0000111", "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[6], q[0];
rz(-0.0612) q[0];
cx q[6], q[0];
cx q[4], q[1];
rz(-0.0612) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(-0.0612) q[5];
cx q[1], q[5];
cx q[5], q[3];
rz(-0.0612) q[3];
cx q[5], q[3];
cx q[6], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[3];
... | null | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.8487835766038252, "params": [[0.0507, 0.0629, 0.0698, 0.07440000000000001], [-0.0118, -0.0425, -0.054900000000000004, -0.059000000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022905841375989642, 0.026168746144262678], "... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 4 | {"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(-0.1014) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0761) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0507) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5443717092947875189 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [4, 7], [4, 6], [2, 5], [6, 7], [5, 6], [0, 1, 2], [0, 2, 6], [2, 3], [3, 5]]} | {"states": [218, 165], "expectation_value": -0.12336091219444457, "params": [[0.07830000000000001], [-0.0862]], "bitstrings": ["00100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.0044472187204365006, 0.004447945150065832], "optimization_time": 2.211134672164917} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665, -2.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["00100101", "01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(0.0783) q[2];
cx q[4], q[2];
cx q[4], q[7];
rz(0.0783) q[7];
cx q[4], q[7];
cx q[4], q[6];
rz(0.0783) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(0.0261) q[6];
cx q[2], q[6];
cx q[7],... | 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];
cx q[4], q... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 7], "expectation_value": -2.6385510616543555, "params": [[[-0.0022, 0.0004], [-0.0034000000000000002, 0.009600000000000001], [1.5018, 0.0063], [1.6225, 0.0058000000000000005], [1.7064000000000001, 0.0047], [1.7096, 0.0034000000000000002]]], "bitstrings": ["111100", "111000"], "total_optimization_steps": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0022) q[0];
rz(0.0004) q[0];
rx(-0.0034) q[1];
rz(0.0096) q[1];
rx(1.5018) q[2];
rz(0.0063) q[2];
rx(1.6225) q[3];
rz(0.0058) q[3];
rx(1.7064) q[4];
rz(0.0047) q[4];
rx(1.7096) q[5];
rz(0.0034) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
5d3a7f0fc0229f8fe840773b48e2ac4d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [104, 22], "expectation_value": -0.24616316249827086, "params": [[-0.0176, 0.0678], [0.043300000000000005, -0.046900000000000004]], "bitstrings": ["0010111", "1101001"], "total_optimization_steps": 10, "probabilities": [0.008553155443979714, 0.00876785541969111], "optimization_time": 3.879244089126587} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0176) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0176) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0176) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0176) q[1];
cx q[2], q[1];
cx q[4], 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;
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": []} |
6772526944045849440 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3], [5, 7], [0, 1], [3, 4], [9, 6], [8, 7]]} | {"states": [643, 691], "expectation_value": -0.16357931264554942, "params": [0.8023, 0.8034, 0.8001, 0.8031, 0.7998000000000001, 0.7958000000000001, 0.793, 0.7925000000000001, 0.7965, 0.7954, 0.7757000000000001, 0.7739, 0.6885, 0.623, 0.7731, 0.7736000000000001, 0.7785000000000001, 0.772, 0.799, 0.8001, 0.7833, 0.774, ... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(8) | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010111010", "0101001100", "1001011010", "0110100101", "1001010011", "1001001100", "0110111010", "010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8023) q[0];
ry(0.8001) q[1];
ry(0.7998) q[2];
ry(0.793) q[3];
ry(0.7965) q[4];
ry(0.7757) q[5];
ry(0.6885) q[6];
ry(0.7731) q[7];
ry(0.7785) q[8];
ry(0.799) q[9];
crx(0.7833) q[9], q[0];
crx(0.7836) q[8], q[9];
crx(-0.4885) q[7], q[8];
crx(0.7788) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
917f40919ed5cce8c36c9746617c7a98 | 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": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [241, 124], "expectation_value": -26.748568789374836, "params": [[-0.0328, 0.0048000000000000004], [0.07150000000000001, 0.07200000000000001]], "bitstrings": ["100001110", "110000011"], "total_optimization_steps": 10, "probabilities": [0.006236740327111536, 0.007326621737774165], "optimization_time": 3.94059... | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(-0.2952) q[2];
cx q[5], q[2];
cx q[5], q[1];
rz(-0.2952) q[1];
cx q[5], q[1];
cx q[2], q[1];
rz(-0.2952) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(-0.2952) q[4];
cx q[5], 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": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.9712063553189134, "params": [[[0.198, -0.1676], [0.20400000000000001, -0.1645], [0.1056, -0.1971], [0.4973, 0.0007], [0.4117, 0.016]], [[0.2076, -0.16770000000000002], [0.20980000000000001, -0.1646], [0.0989, -0.1971], [0.4955, 0.0008], [0.4118, 0.016]], [[0.20500000000000002,... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (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)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.198) q[0];
rz(-0.1676) q[0];
rx(0.204) q[1];
rz(-0.1645) q[1];
rx(0.1056) q[2];
rz(-0.1971) q[2];
rx(0.4973) q[3];
rz(0.0007) q[3];
rx(0.4117) q[4];
rz(0.016) q[4];
rx(0.2076) q[0];
rz(-0.1677) q[0];
rx(0.2098) q[1];
rz(-0.1646) q[1];
rx(0.0989) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
-708269976254587279 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5], [8, 5], [5, 7], [9, 3], [9, 2], [3, 5], [0, 3], [8, 3], [0, 1], [5, 6], [2, 4]]} | {"states": [460, 563], "expectation_value": -0.041474657097004985, "params": [[-0.0408], [0.0466]], "bitstrings": ["1000110011", "0111001100"], "total_optimization_steps": 10, "probabilities": [0.0010443215943902835, 0.0010443215943902835], "optimization_time": 1.7982282638549805} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(9) + 0.0 * Z(3) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111001110", "0111001100", "1000110011", "1000110001"]} | 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[5], q[2];
rz(-0.0408) q[2];
cx q[5], q[2];
cx q[5], q[8];
rz(-0.0408) q[8];
cx q[5], q[8];
cx q[5], q[7];
rz(-0.0408) q[7];
cx q[5], q[7];
cx q[2], q[9];
rz(-0.0408) q[9];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[7];
rz(x0) q[7];
cx q... | null | {"circuits": [], "gradients": []} |
422319ba04d136ad73513dac1d0065c7 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1653, 1789], "expectation_value": -8.543395388613492, "params": [[-0.19260000000000002], [0.36100000000000004]], "bitstrings": ["100110001010", "100100000010"], "total_optimization_steps": 40, "probabilities": [0.0032343993275677115, 0.003234399327567712], "optimization_time": 6.911730527877808} | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | 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[4], q[8];
rz(0.3852) q[8];
cx q[4], q[8];
cx q[4], q[5];
rz(-0.1926) q[5];
cx q[4], q[5];
cx q[8], q[5];
rz(0.1926) q[5];
cx q[8], q[5];
cx q[4], q[6];
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];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [239, 495], "expectation_value": -7.619818828368839, "params": [1.0594000000000001, -0.2957, 0.6719, -0.3108, 1.1618000000000002, -0.2212, 1.0058, -0.1433, -0.7014, -0.3005, -0.642, -0.061200000000000004, -0.6638000000000001, -0.18730000000000002, -0.5801000000000001, -0.1218, 0.2353, -0.5974, 0.219800000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0594) q[0];
rz(-0.2957) q[0];
rx(1.1618) q[1];
rz(-0.2212) q[1];
rx(-0.7014) q[2];
rz(-0.3005) q[2];
rx(-0.6638) q[3];
rz(-0.1873) q[3];
rx(0.2353) q[4];
rz(-0.5974) q[4];
rx(0.6346) q[5];
rz(-0.3667) q[5];
rx(0.7248) q[6];
rz(-0.3919) q[6];
rx(0.7683) 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... | {"node": 5} | {"circuits": [], "gradients": []} |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [19, 98], "expectation_value": -0.08066981305619429, "params": [[-0.024300000000000002, -0.022500000000000003], [0.029500000000000002, 0.029400000000000003]], "bitstrings": ["1101100", "0011101"], "total_optimization_steps": 10, "probabilities": [0.00824320000524712, 0.008309668517705524], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0243) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0243) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0243) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0243) q[6];
cx q[0], q[6];
cx q[4], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [607, 671], "expectation_value": -2.9913074541787337, "params": null, "bitstrings": ["0110100000", "0101100000"], "total_optimization_steps": 83, "probabilities": [0.039195353000280514, 0.6667044491494435], "optimization_time": 335.01449942588806} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"]} | 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(-1.1871) q[2], q[3];
ry(1.2944) q[7];
cry(-1.1871) q[0], q[1];
ry(1.1825) q[8];
ry(1.0039) q[9];
cry(-0.5505) q[5], q[3];
cry(-0.5423) q[6], q[1];
cry(0.4917) q[7], q[9];
ry(... | null | null | {"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(-1.1871) q[2], 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] = meas... |
53752fa69bf385aa63f4a12c0f296bc6 | 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": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [233, 203], "expectation_value": -15.561237181212823, "params": [[-0.030000000000000002, -0.0229], [0.058100000000000006, 0.0745]], "bitstrings": ["100010110", "100110100"], "total_optimization_steps": 10, "probabilities": [0.006774578627211435, 0.007186930694376017], "optimization_time": 3.14095139503479} | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(2) + 12.0 * Z(1) + 4.0 * Z(0) + -1.0 * Z(4) + 7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.3) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(-0.3) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-0.3) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.3) q[4];
cx q[1], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -1.4960387657262855, "params": null, "bitstrings": ["10", "11"], "total_optimization_steps": 3, "probabilities": [0.003959394488014906, 0.9960387873231064], "optimization_time": 0.8016207218170166} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
c[0] = measure q[0];
c[1] = measure q[1]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = mea... |
266260d621043cabf37512f90b4b26ac | 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": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 42.43559718132019} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | 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[3];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[5];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [27, 11], "expectation_value": -2.1831872164107886, "params": [[-0.057300000000000004, -0.0489], [0.062200000000000005, 0.0658]], "bitstrings": ["1100100", "1110100"], "total_optimization_steps": 10, "probabilities": [0.014893434164247519, 0.015000774321684316], "optimization_time": 2.697324514389038} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | 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(0.1719) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0287) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1433) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1433) q[4];
cx q[0], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [8, 1], "expectation_value": -4.489927472337257, "params": [[-0.0678], [0.0673]], "bitstrings": ["10111", "11110"], "total_optimization_steps": 10, "probabilities": [0.04128764030005051, 0.04307902279304696], "optimization_time": 1.4140326976776123} | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.3051) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3051) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3051) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3051) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3051) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 4} | {"circuits": [], "gradients": []} |
cae8556c03d0ff054ffa82259456ae81 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [41, 169], "expectation_value": -4.819212902375835, "params": [0.5248, 0.0022, -0.0064, 0.3078, 0.6066, 0.0009000000000000001, 0.1983, -0.023700000000000002, 0.6038, -0.0028, 0.0026000000000000003, 0.2844, -0.0073, -0.3068, 0.6073000000000001, -0.001, 0.5321, -0.002, -0.0056, 0.3168, 0.6075, -0.0001, 0.17930... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 *... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5248) q[0];
rz(0.0022) q[0];
rx(-0.0064) q[1];
rz(0.3078) q[1];
rx(0.6066) q[2];
rz(0.0009) q[2];
rx(0.1983) q[3];
rz(-0.0237) q[3];
rx(0.6038) q[4];
rz(-0.0028) q[4];
rx(0.0026) q[5];
rz(0.2844) q[5];
rx(-0.0073) q[6];
rz(-0.3068) q[6];
rx(0.6073) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5256643626592844956 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 7, 9, 10], [8, 1, 10, 9], [4, 7], [5, 7], [2, 6]]} | {"states": [1779, 1271], "expectation_value": -0.926146472628424, "params": [[-0.5698], [0.4097]], "bitstrings": ["00100001100", "01100001000"], "total_optimization_steps": 60, "probabilities": [0.0024591484361467172, 0.002459148436146718], "optimization_time": 4.4042909145355225} | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.03333333333333333 * (Z(9) @ Z(2)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.03333333333333... | 1 | 11 | 1 | {"smallest_eigenvalues": [-1.9500000000000002, -1.9500000000000002, -1.9500000000000002], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.95, "smallest_bitstrings": ["11000011000", "01100001000", "01010011000"]} | 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[2], q[0];
rz(-0.038) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.038) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.038) q[3];
cx q[0], q[3];
cx q[2], q[7];
rz(-0.038) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
-4590945136126999460 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1], [0, 2], [3, 7], [0, 4], [5, 7], [0, 7], [3, 5], [2, 7], [2, 5], [0, 3], [6, 7]]} | {"states": [77, 178], "expectation_value": -0.1593945072959921, "params": [[0.08070000000000001], [-0.0855]], "bitstrings": ["10110010", "01001101"], "total_optimization_steps": 10, "probabilities": [0.004574725346714704, 0.004574725346714704], "optimization_time": 2.5951411724090576} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["10000110", "01001101", "10001110", "10000101", "01101001", "10110010", "01110001", "01110010", "10001101", "10010110", "01111010... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(0.0807) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.0807) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.0807) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0807) q[1];
cx q[0], q[1];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0]... | null | {"circuits": [], "gradients": []} |
e9e1c3bad7671d416f508c960af260f6 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [1, 33], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1111110", "1011110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 12.16510820388794} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | 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(1.5706) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(-1.5486) q[3];
ry(-1.5708) q[5];
cry(-0.0222) q[6], q[3];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[4];
c[0] = measure q[0];
c... | 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(1.5706) 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", "... |
c5d57071b024d109c38c43678d62eaf1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -2.878077382958071, "params": [[[0.001, 0.4803], [-0.0012000000000000001, 0.016800000000000002], [0.8059000000000001, -0.0011]], [[0.0011, 0.0039000000000000003], [0.0066, 0.0034000000000000002], [0.8076, 0.0037]]], "bitstrings": ["111", "110"], "total_optimization_steps": 80, "p... | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.001) q[0];
rz(0.4803) q[0];
rx(-0.0012) q[1];
rz(0.0168) q[1];
rx(0.8059) q[2];
rz(-0.0011) q[2];
rx(0.0011) q[0];
rz(0.0039) q[0];
rx(0.0066) q[1];
rz(0.0034) q[1];
rx(0.8076) q[2];
rz(0.0037) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measur... | OPENQASM 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[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
4002e7c825d905d476562dd2a4250026 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [40, 85], "expectation_value": -0.16150840844745076, "params": [[-0.0229, 0.031, 0.046], [0.042300000000000004, -0.0165, -0.0352]], "bitstrings": ["1010111", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008434891378705124, 0.008625871840842753], "optimization_time": 9.668365955352783} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0229) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0229) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0229) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.0229) q[1];
cx q[5], q[1];
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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [1, 55], "expectation_value": -0.7674231141155231, "params": [[0.0678, 0.061500000000000006], [-0.075, -0.0651]], "bitstrings": ["111111110", "111001000"], "total_optimization_steps": 10, "probabilities": [0.003279217071495617, 0.003279434117389036], "optimization_time": 3.0390124320983887} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["111011110", "111001010", "111001000", "111111110", "111111010", "111011010"]} | 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(-0.0339) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0339) q[2];
cx q[0], q[2];
cx q[0], q[8];
rz(0.1017) q[8];
cx q[0], q[8];
cx q[1], q[5];
rz(-0.1695) q[5];
cx q[1], 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-8688763616674854855 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [21, 42], "expectation_value": -0.07158144781041077, "params": [[-0.0737], [0.0711]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.01727794237746734, 0.01727794237746734], "optimization_time": 1.2553679943084717} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0737) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.0737) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.0737) q[4];
cx q[1], q[4];
cx q[0], q[5];
rz(-0.0737) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
3c9c101d3ca31818a58dc6d661f912ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [17, 1], "expectation_value": -16.999999966619765, "params": null, "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 30, "probabilities": [8.327888962579199e-09, 0.999999991661064], "optimization_time": 57.014681339263916} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"]} | 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];
ry(1.5708) q[9];
ry(-1.5708) q[0];
ry(-1.5708) q[7];
ry(-1.5708) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.5706) q[5];
ry(-1.5708) q[8];
ry(-1.5708) q[3];
ry(-1.5681) q[6];... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
a91613587e2e3ed31c854337981da9dd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.039444281765562, "params": [0.0041, 0.3982, 0.0028, 0.5901000000000001, -0.0025, 0.5955, 0.0026000000000000003, 0.6015, 0.0024000000000000002, 0.6048, 0.6078, 0.2514, 0.0024000000000000002, -0.5749000000000001, 0.801, 0.0054, 0.0032, 0.0032, 0.0028, 0.0056, -0.0025, 0.00580000... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0041) q[0];
rz(0.3982) q[0];
rx(0.0028) q[1];
rz(0.5901) q[1];
rx(-0.0025) q[2];
rz(0.5955) q[2];
rx(0.0026) q[3];
rz(0.6015) q[3];
rx(0.0024) q[4];
rz(0.6048) q[4];
rx(0.6078) q[5];
rz(0.2514) q[5];
rx(0.0024) q[6];
rz(-0.5749) q[6];
rx(0.801) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
0b5f0e96c66f1fe8afca6f37edd06ab2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3506, 3509], "expectation_value": -3.4332560530545004, "params": [[[0.028900000000000002, 0.003, 0.008400000000000001, 0.0043], [-0.0027, -0.263, 1.0908, 0.023200000000000002], [1.233, -0.6051000000000001, 1.1373, -1.0874000000000001], [0.0048000000000000004, -0.8575, 0.0033, -1.2441], [0.1396, -0.0098, -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)) + 0.0625 * (... | 11 | 12 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0289) q[0];
rz(0.003) q[0];
ry(-0.0027) q[1];
rz(-0.263) q[1];
ry(1.233) q[2];
rz(-0.6051) q[2];
ry(0.0048) q[3];
rz(-0.8575) q[3];
ry(0.1396) q[4];
rz(-0.0098) q[4];
ry(-0.0014) q[5];
rz(-1.0171) q[5];
ry(0.9392) q[6];
rz(-0.096) q[6];
ry(0.0025) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fe730bb1674e126efa753a18eada3bbc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [2006, 1494], "expectation_value": -3.068625577786814, "params": [2.7061, 0.0099, 1.4894, 0.005200000000000001, 1.8964, 0.0047, 2.6967000000000003, 0.0089, 2.6363000000000003, 0.0038, -0.0024000000000000002, 0.002, 2.6963, 0.0032, 0.47750000000000004, 0.0028, 2.7110000000000003, 0.001, 2.7064, 0.005500000000... | 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... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.875, "smallest_bitstrings": ["00001111000", "01000101001", "01000100011", "10000101001", "00010101001", "000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.7061) q[0];
rz(0.0099) q[0];
rx(1.4894) q[1];
rz(0.0052) q[1];
rx(1.8964) q[2];
rz(0.0047) q[2];
rx(2.6967) q[3];
rz(0.0089) q[3];
rx(2.6363) q[4];
rz(0.0038) q[4];
rx(-0.0024) q[5];
rz(0.002) q[5];
rx(2.6963) q[6];
rz(0.0032) q[6];
rx(0.4775) 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": []} |
77dce16e2c6e790ed7c91ee5956c7b72 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "s... | {"states": [3, 1], "expectation_value": -0.557338280863003, "params": [[0.0366], [-0.037700000000000004]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002420942099490477, 0.002454522282611717], "optimization_time": 2.4706857204437256} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * (Z(6) @ Z(4)) + 3.75 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["111111110", "111111100"]} | 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(-0.0549) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0915) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0732) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0366) q[4];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1660286489679715573 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9], [1, 4], [8, 6], [3, 5], [10, 7], [8, 10], [6, 7], [1, 10], [1, 5], [2, 7], [10, 6], [2, 6], [0, 7], [9, 6], [0, 6], [11, 6], [5, 7], [8, 1], [2, 4], [4, 6]]} | {"states": [3148, 1100], "expectation_value": -0.10444280530384951, "params": [[[1.5, 0.0034000000000000002], [1.7158, 0.0023], [1.4188, 0.0047], [1.4434, 0.0053], [1.4643000000000002, 0.0041], [1.7117, 0.0027], [1.4481000000000002, 0.0038], [1.4236, 0.0085], [1.7019000000000002, 0.0013000000000000002], [1.7031, 0.0036... | 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["101110110010", "101110110011", "010001001101", "010001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5) q[0];
rz(0.0034) q[0];
rx(1.7158) q[1];
rz(0.0023) q[1];
rx(1.4188) q[2];
rz(0.0047) q[2];
rx(1.4434) q[3];
rz(0.0053) q[3];
rx(1.4643) q[4];
rz(0.0041) q[4];
rx(1.7117) q[5];
rz(0.0027) q[5];
rx(1.4481) q[6];
rz(0.0038) q[6];
rx(1.4236) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
af458648554de42d1265969eb5319ca5 | 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": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.582391879035416, "params": [-0.0114, -0.0043, 0.0114, 0.0097, 0.0028, 0.598, 0.0028, 0.0035, 0.0028, 0.49570000000000003, 0.0029000000000000002, 0.0079, 0.8091, 0.0025, 0.8028000000000001, 0.0046, 0.0027, 0.5995, 0.0028, 0.0073, 0.002, -0.2356, 0.0018000000000000002, 0.0024... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000000", "100000000001", "111011011111", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0114) q[0];
rz(-0.0043) q[0];
rx(0.0028) q[1];
rz(0.598) q[1];
rx(0.0028) q[2];
rz(0.4957) q[2];
rx(0.8091) q[3];
rz(0.0025) q[3];
rx(0.0027) q[4];
rz(0.5995) q[4];
rx(0.002) q[5];
rz(-0.2356) q[5];
rx(-0.7534) q[6];
rz(0.0074) q[6];
rx(0.0021) 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": 11} | {"circuits": [], "gradients": []} |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 15.926916122436523} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0343) q[5], q[0];
ry(0.7003) q[5];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[5];
cry(-0.3789) q[2], q[0];
cry(0.2489) q[1], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
bd53ef77fd6623e9c326cf57ce2d586e | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1008], "expectation_value": -27.08930551881618, "params": [[[0.0024000000000000002, 0.005], [-0.0027, 0.0056], [0.0022, 0.006200000000000001], [0.0025, 0.0016], [-0.003, 0.0008], [1.6006, 0.0063], [0.0015, 0.0094], [0.0027, 0.0073], [0.0025, 0.0031000000000000003], [0.0017000000000000001, 0.0044]]], "bit... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.0... | 2 | 10 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0024) q[0];
rz(0.005) q[0];
rx(-0.0027) q[1];
rz(0.0056) q[1];
rx(0.0022) q[2];
rz(0.0062) q[2];
rx(0.0025) q[3];
rz(0.0016) q[3];
rx(-0.003) q[4];
rz(0.0008) q[4];
rx(1.6006) q[5];
rz(0.0063) q[5];
rx(0.0015) q[6];
rz(0.0094) q[6];
rx(0.0027) 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] x2;
input float[64] x3;
input float[6... | {"node": 7} | {"circuits": [], "gradients": []} |
60ee24e75d296768891909bb6838839e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43605, 21930], "expectation_value": -0.015113255495348544, "params": [[-0.057800000000000004], [0.0661]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.621392799755729e-05, 1.6213927997557293e-05], "optimization_time": 13.454726696014404} | 0.25 * (Z(0) @ Z(1)) + -0.0008136094674556214 * (Z(2) @ Z(0)) + -0.0008136094674556214 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0003698224852071006 * (Z(4) @ Z(0)) + 0.00014792899408284027 * (Z(4) @ Z(2)) + -0.0003698224852071006 * (Z(5) @ Z(1)) + 0.00014792899408284027 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0164201183431687], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0164201183431087, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0289) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-3186683080804824916 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 4, 5, 6, 7, 8, 9], [1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 6, 7, 8], [9, 2, 4, 7], [1, 2, 5, 8, 9], [1, 4, 5], [0, 1, 4, 7, 8, 9], [0, 1, 2, 3, 4, 6, 7], [3, 4, 5, 6, 9], [8, 9, 2, 7]]} | {"states": [1003, 939], "expectation_value": -2.0696943197120055, "params": [[[2.3842000000000003, 0.8108000000000001, 0.0026000000000000003, 0.0095], [-0.0025, -0.8099000000000001, -0.0025, 0.0023], [1.568, 0.0023, 1.5683, 0.0047], [1.473, -0.45020000000000004, 0.274, 0.0039000000000000003], [1.5682, 0.0023, 1.5735000... | 0.10476190476190475 * (Z(0) @ Z(4)) + 0.24047619047619045 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.12142857142857143 * (Z(6) @ Z(4)) + 0.07142857142857142 * (Z(6) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z(5)) + 0.18809523809523807 * (Z(7) @ Z(4)) + 0.10476190476190475 * (Z(7) @ Z(0)) + 0.0238095238095... | 11 | 10 | 1 | {"smallest_eigenvalues": [-2.1714285714285717, -2.1714285714285717], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.157142857142858, "smallest_bitstrings": ["0001010100", "1010010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(2.3842) q[0];
rz(0.8108) q[0];
ry(-0.0025) q[1];
rz(-0.8099) q[1];
ry(1.568) q[2];
rz(0.0023) q[2];
ry(1.473) q[3];
rz(-0.4502) q[3];
ry(1.5682) q[4];
rz(0.0023) q[4];
ry(1.9432) q[5];
rz(-0.002) q[5];
ry(1.5678) q[6];
rz(-0.0031) q[6];
ry(1.9038) 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": []} |
a77eb5d2d5d9ffe0797bdf910ce4dc93 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -10.950160552808155, "params": [-0.3121, 0.0045000000000000005, -0.0746, 0.0028, 0.0016, 0.3114, 0.0033, 0.3141, 0.40130000000000005, -0.0027, 0.40590000000000004, -0.0031000000000000003, 0.0011, 0.3002, 0.0019, 0.29560000000000003, 0.0027, 0.3008, 0.0029000000000000002, 0.3044... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["11011111110", "11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.3121) q[0];
rz(0.0045) q[0];
rx(0.0016) q[1];
rz(0.3114) q[1];
rx(0.4013) q[2];
rz(-0.0027) q[2];
rx(0.0011) q[3];
rz(0.3002) q[3];
rx(0.0027) q[4];
rz(0.3008) q[4];
rx(-0.0025) q[5];
rz(0.2614) q[5];
rx(0.0218) q[6];
rz(-0.0125) q[6];
rx(0.0099) 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": 10} | {"circuits": [], "gradients": []} |
209492d0ebde0c4941c69f20876abb8e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 169.97273540496826} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "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];
ry(9.9081) q[2];
ry(-12.7539) q[7];
ry(-12.7539) q[4];
ry(16.6112) q[5];
ry(0.1443) q[0];
ry(5.4653) q[1];
ry(38.8597) q[6];
cry(2.3822) q[6], q[7];
cry(1.2053) q[6], q[4];
cry(-12.7085) q... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
cdb1ebb70ff63dada49563c8267249d6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [1000, 992], "expectation_value": -20.949201978828707, "params": null, "bitstrings": ["0000010111", "0000011111"], "total_optimization_steps": 100, "probabilities": [0.10098101994676163, 0.4717518700673992], "optimization_time": 255.4518666267395} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000011111"]} | 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];
ry(-1.5708) q[9];
ry(-0.4397) q[6];
cry(-1.1307) q[8], q[6];
ry(-1.5708) q[5];
ry(-1.4356) q[8];
ry(-1.5708) q[7];
cry(-0.311) q[4], q[6];
cry(-0.2276) q[3], q[6];
cry(1.5708) q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [137, 153], "expectation_value": -2.7680921819888087, "params": [[0.0703, 0.0795], [-0.0504, -0.0697]], "bitstrings": ["101110110", "101100110"], "total_optimization_steps": 10, "probabilities": [0.005044260640258286, 0.005112365032983947], "optimization_time": 3.3351004123687744} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101110110", "101100110", "101000100", "101000110", "101010100", "101010110"]} | 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(-0.1406) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.1406) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.2109) q[6];
cx q[0], q[6];
cx q[2], q[8];
rz(-0.0703) q[8];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
319cf79193dd12504081b946bd90da21 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5},... | {"states": [2035, 2019], "expectation_value": -3.5105987903069513, "params": [[0.17700000000000002], [-0.1814]], "bitstrings": ["00000001100", "00000011100"], "total_optimization_steps": 20, "probabilities": [0.0029956301792347347, 0.003277415690741075], "optimization_time": 3.207991600036621} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.5 * Z(7) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00000011100"]} | 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(-0.354) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.708) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.177) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.531) 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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
b86265187bfb2c2bd15ec1f4006924d5 | 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": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [55, 247], "expectation_value": -9.287635275913692, "params": [[[-0.1414, -0.36460000000000004, 0.009600000000000001, 0.009600000000000001], [-0.0077, 0.3942, -0.0724, 0.25780000000000003], [-0.0111, -1.9038000000000002, 0.027100000000000003, -0.9201], [-0.0021000000000000003, -1.3573000000000002, -0.0067, 0... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 11 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.1414) q[0];
rz(-0.3646) q[0];
ry(-0.0077) q[1];
rz(0.3942) q[1];
ry(-0.0111) q[2];
rz(-1.9038) q[2];
ry(-0.0021) q[3];
rz(-1.3573) q[3];
ry(-0.0028) q[4];
rz(2.319) q[4];
ry(-0.0022) q[5];
rz(-0.0374) q[5];
ry(-0.0028) q[6];
rz(-2.0295) q[6];
ry(-0.0029)... | OPENQASM 3.0;
include "stdgates.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": []} |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 44.85672402381897} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(1.5708) q[6];
ry(-1.57) q[0];
cry(-1.5708) q[6], q[2];
cry(1.5486) q[6], q[1];
cry(1.0342) q[3], q[4];
cry(1.0518) q[4], q[3];
cry(0.2248) q[6], q[4];
cry(0.1574) q[1], q[3];
ry(0.146... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 205.48138999938965} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(34.778) q[4];
ry(26.0857) q[7];
cry(2.9975) q[7], q[4];
ry(-3.4811) q[5];
ry(11.8178) q[2];
cry(-2.9363) q[7], q[5];
ry(1.6193) q[1];
cry(20.6965) q[1], q[4];
cry(-0.0103) q[7], q[6];
c... | 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(34.778) 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] = m... |
4421c497e819297a0c75498974257550 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [238, 236], "expectation_value": -63.67347909831952, "params": [0.2924, 0.4233, 1.0645, -0.0078000000000000005, 1.0721, -0.0038, 1.0749, 0.0656, 0.2982, 0.4335, 1.0678, -0.0039000000000000003, 1.0674000000000001, 0.2175, 0.4803, 0.38570000000000004, 0.271, 0.4203, 0.2868, 0.4032, 1.0721, -0.0071, 1.0664, -0.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 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(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2924) q[0];
rz(0.4233) q[0];
rx(1.0645) q[1];
rz(-0.0078) q[1];
rx(1.0721) q[2];
rz(-0.0038) q[2];
rx(1.0749) q[3];
rz(0.0656) q[3];
rx(0.2982) q[4];
rz(0.4335) q[4];
rx(1.0678) q[5];
rz(-0.0039) q[5];
rx(1.0674) q[6];
rz(0.2175) q[6];
rx(0.4803) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e05275d14653e116f32640e6b82829a5 | 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": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [342, 244], "expectation_value": -22.662175057211602, "params": [[-0.031200000000000002, -0.013000000000000001, 0.0791], [0.058300000000000005, 0.0618, -0.0468]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007719775001548535, 0.010796815446594795], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | 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(-0.2808) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2808) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2808) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2808) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 19.128244638442993} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5709) q[6];
ry(-1.57) q[0];
ry(-1.4894) q[3];
ry(-1.5708) q[2];
ry(-1.5706) q[4];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
cry(0.5085) q[6], q[3];
cry(0.4107) q[6], q[0];
cry(-0.3036) q[3], q[0];
cry(-0.0... | 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(1.5709) 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[6];\n", "... |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [4, 20], "expectation_value": -2.4635777699893517, "params": [1.6071, 0.0041, 0.002, 0.0048000000000000004, 1.6113000000000002, 0.0056, 0.5334, 0.0014, 0.002, 0.0054, 0.0033, 0.0015, 0.0016, 0.0013000000000000002, 0.0058000000000000005], "bitstrings": ["11011", "01011"], "total_optimization_steps": 160, "pro... | 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) | 18 | 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;
rx(1.6071) q[0];
rz(0.0041) q[0];
rx(0.002) q[1];
rz(0.0048) q[1];
rx(1.6113) q[2];
rz(0.0056) q[2];
rx(0.5334) q[3];
rz(0.0014) q[3];
rx(0.002) q[4];
rz(0.0054) q[4];
crz(0.0033) q[4], q[0];
crz(0.0058) q[3], q[4];
crz(0.0013) q[2], q[3];
crz(0.0016) q[1], 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] 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... | null | {"circuits": [], "gradients": []} |
4d9ac715337d62f02411db1f75f87fba | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1103, 1101], "expectation_value": -76.74007684769913, "params": [0.8094, -0.003, -0.0006000000000000001, 0.5586, 0.3397, -0.1879, 0.005, 0.5901000000000001, 0.8034, 0.0074, -0.0064, 0.5797, 0.378, -0.1617, 0.807, -0.1085, 0.804, 0.0041, 0.4985, 0.2555, 0.8048000000000001, 0.10550000000000001, 0.809800000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(2) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + -5.0 * Z(1) + -1.0 * Z(0) + -3.5 * Z(5) + 1.5 * Z(4) + 17.0 * Z(7) + 1.0 * Z(2) + 2.0 * Z(6) + 1... | 16 | 11 | 3 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["01110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.8094) q[0];
rz(-0.003) q[0];
rx(-0.0006) q[1];
rz(0.5586) q[1];
rx(0.3397) q[2];
rz(-0.1879) q[2];
rx(0.005) q[3];
rz(0.5901) q[3];
rx(0.8034) q[4];
rz(0.0074) q[4];
rx(-0.0064) q[5];
rz(0.5797) q[5];
rx(0.378) q[6];
rz(-0.1617) q[6];
rx(0.807) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
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": [1783, 1781], "expectation_value": -5.923076398172945, "params": [0.7725000000000001, 0.4469, 1.4307, 0.32730000000000004, 1.4281000000000001, 0.11560000000000001, 0.7739, 0.5012, 1.4313, 0.3013, 1.4661000000000002, 0.0655, 1.5749, -0.0397, 1.5725, 0.23450000000000001, 0.8218000000000001, 0.4561, 1.5801, 0.1... | 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 | 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": ["001001100010", "100100001010", "001001010100", "010010100001", "010010001100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7725) q[0];
rz(0.4469) q[0];
rx(1.4307) q[1];
rz(0.3273) q[1];
rx(1.4281) q[2];
rz(0.1156) q[2];
rx(0.7739) q[3];
rz(0.5012) q[3];
rx(1.4313) q[4];
rz(0.3013) q[4];
rx(1.4661) q[5];
rz(0.0655) q[5];
rx(1.5749) q[6];
rz(-0.0397) q[6];
rx(1.5725) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-5863800654377472865 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [8, 0, 3], [8, 2, 7], [8, 5], [8, 3, 6], [1, 2], [3, 5, 6, 7], [3, 4, 6], [0, 6, 7], [0, 3, 6]]} | {"states": [371, 378], "expectation_value": -3.333565016431522, "params": null, "bitstrings": ["010001100", "010000101"], "total_optimization_steps": 68, "probabilities": [0.07367030076991843, 0.8643302938502379], "optimization_time": 106.61919832229614} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.1666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010000101"]} | 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(1.5547) q[3];
ry(1.3016) q[7];
cry(-1.4375) q[7], q[1];
ry(1.4389) q[2];
cry(-1.2219) q[5], q[8];
ry(0.6938) q[5];
cry(-0.4752) q[3], q[8];
cry(0.5112) q[3], q[5];
ry(-0.3059) q[8];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5547) 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] = m... |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -6.3709382339516765, "params": [0.004, 0.343, 0.6036, 0.1262, 0.0028, 0.5894, 0.0026000000000000003, -0.5524, 0.0023, 0.43360000000000004, 0.0024000000000000002, 0.5890000000000001, 0.0028, 0.5779000000000001, 0.8091, 0.0007, 0.0025, 0.0094, 0.6034, 0.008700000000000001, 0.0028, ... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.004) q[0];
rz(0.343) q[0];
rx(0.6036) q[1];
rz(0.1262) q[1];
rx(0.0028) q[2];
rz(0.5894) q[2];
rx(0.0026) q[3];
rz(-0.5524) q[3];
rx(0.0023) q[4];
rz(0.4336) q[4];
rx(0.0024) q[5];
rz(0.589) q[5];
rx(0.0028) q[6];
rz(0.5779) q[6];
rx(0.8091) 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] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8470a505a235a52c7e040d2c2783df5f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"sourc... | {"states": [0, 32767], "expectation_value": -58.17617778088242, "params": [[[0.0022, 1.6102], [0.0025, 0.0021000000000000003], [0.0023, 0.002], [0.0017000000000000001, 0.0022], [-0.0035, 0.0027], [-0.004, 0.0031000000000000003], [0.002, 0.0025], [0.0016, 0.0019], [0.0026000000000000003, 0.0022], [-0.0023, -0.0026000000... | -3.0 * (Z(0) @ Z(1)) + -3.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.0 * (Z(10) @ Z(1)) + -3.0 * (Z(10) @ Z(0)) + -3.5 * (Z(10) @ Z(8)) + -3.5 * (Z(11) @ Z(1)) + 1.5 * (Z(11) @ Z(0)) + -4.0 * (Z(11) @ Z(8)) + -3.5 * (Z(11) @ Z(10)) + -3.0 * (Z(12) @ Z(1)) + 1.5 * (Z(12) @ Z(0)) + -3.5 * (Z(12) @ Z(8)) + -3.0 * (Z(12... | 15 | 15 | 1 | {"smallest_eigenvalues": [-62.49999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.49999999999986, "smallest_bitstrings": ["000000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0022) q[0];
ry(0.0025) q[1];
ry(0.0023) q[2];
ry(0.0017) q[3];
ry(-0.0035) q[4];
ry(-0.004) q[5];
ry(0.002) q[6];
ry(0.0016) q[7];
ry(0.0026) q[8];
ry(-0.0023) q[9];
ry(0.002) q[10];
ry(0.0021) q[11];
ry(0.0021) q[12];
ry(0.0021) q[13];
ry(0.0028) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 13} | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -1.8684626100390385, "params": [[0.059300000000000005, 0.06330000000000001, 0.061000000000000006], [-0.042300000000000004, -0.0524, -0.047]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 10, "probabilities": [0.03308914153155576, 0.03344064927043276], "optimi... | -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 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0297) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1186) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.1483) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.089) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d84f9d44a9dfbf26b97835693b75dc35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [3, 11], "expectation_value": -10.86205513992682, "params": [[[0.0025, 0.7247], [-0.0031000000000000003, 0.8264], [-0.0013000000000000002, 0.8224], [0.5875, -0.0012000000000000001], [-0.0034000000000000002, 0.7974], [0.9781000000000001, 0.0004], [1.0651000000000002, -0.0012000000000000001]], [[0.0044, 0.7491... | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0025) q[0];
rz(0.7247) q[0];
rx(-0.0031) q[1];
rz(0.8264) q[1];
rx(-0.0013) q[2];
rz(0.8224) q[2];
rx(0.5875) q[3];
rz(-0.0012) q[3];
rx(-0.0034) q[4];
rz(0.7974) q[4];
rx(0.9781) q[5];
rz(0.0004) q[5];
rx(1.0651) q[6];
rz(-0.0012) q[6];
rx(0.0044) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2ee51013acda191f703ffb893493c226 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [3, 1], "expectation_value": -0.34515837231637103, "params": [[0.07540000000000001], [-0.0649]], "bitstrings": ["1111111100", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0013199428633027933, 0.0013293515668019694], "optimization_time": 2.9201722145080566} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"]} | 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(-0.0377) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0377) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0377) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.1131) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | 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": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [0, 511], "expectation_value": -11.385835345793772, "params": [0.006500000000000001, -1.8452000000000002, -0.0089, 0.0017000000000000001, 0.0018000000000000002, 1.3576000000000001, 0.0016, 0.0014, -0.2627, 0.6116, 0.6069, 0.0053, -0.7709, 0.46180000000000004, 0.7114, 0.0059, 0.8062, 1.3204, 0.2712, 0.0018000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0065) q[0];
rz(-1.8452) q[0];
rx(0.0018) q[1];
rz(1.3576) q[1];
rx(-0.2627) q[2];
rz(0.6116) q[2];
rx(-0.7709) q[3];
rz(0.4618) q[3];
rx(0.8062) q[4];
rz(1.3204) q[4];
rx(-0.8053) q[5];
rz(1.5316) q[5];
rx(0.8017) q[6];
rz(1.6401) q[6];
rx(0.8126) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61437, 61438], "expectation_value": -20.53590645648977, "params": null, "bitstrings": ["0001000000000010", "0001000000000001"], "total_optimization_steps": 100, "probabilities": [0.07492382283023072, 0.5484021995089197], "optimization_time": 803.2017002105713} | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.999999999999908], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999595, "smallest_bitstrings": ["0001000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(0.4397) q[5];
ry(0.6859) q[4];
ry(1.5607) q[7];
cry(0.925) q[7], q[5];
cry(0.8511) q[7], q[4];
ry(1.5708) q[6];
cry(1.570... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(0.4397) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
9549964f1bad9d8041c30a1733d66104 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 2047], "expectation_value": -33.07165956503553, "params": [[[0.0022, 1.5998], [0.0022, 0.0025], [0.0018000000000000002, 0.0021000000000000003], [0.0024000000000000002, 0.002], [-0.0043, 0.0023], [0.0035, 0.003], [-0.0017000000000000001, -0.0027], [0.0024000000000000002, 0.0023], [0.0019, 0.002], [0.00210... | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -4.0 * (Z(10) @ Z(7)) + -3.0 * (Z(10) @ Z(6)) + -3.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(10)) + -3.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 1.5 * (Z(2) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0022) q[0];
ry(0.0022) q[1];
ry(0.0018) q[2];
ry(0.0024) q[3];
ry(-0.0043) q[4];
ry(0.0035) q[5];
ry(-0.0017) q[6];
ry(0.0024) q[7];
ry(0.0019) q[8];
ry(0.0021) q[9];
ry(0.0025) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
678308485f35da941d402fc5065b7236 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [399, 1935], "expectation_value": -1.4550941928964414, "params": [[-0.0854], [0.08]], "bitstrings": ["11001110000", "00001110000"], "total_optimization_steps": 10, "probabilities": [0.0009957293904844337, 0.0010476961076048288], "optimization_time": 1.7759463787078857} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["00001110000"]} | 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(0.1708) q[0];
cx q[1], q[0];
cx q[5], q[4];
rz(0.3416) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.3416) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.3416) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5... | {"node": 3} | {"circuits": [], "gradients": []} |
5fcc80649738bc6ebb5e6ed34bbe4c7e | 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": [235, 218], "expectation_value": -2.4338814863615115, "params": [[0.0173], [-0.0151]], "bitstrings": ["100010100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0021427046908223195, 0.0021786555494247577], "optimization_time": 2.0453062057495117} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(0.1557) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(0.1557) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.1557) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.1557) q[2];
cx q[4], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
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