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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [427, 245], "expectation_value": -0.4692885822136954, "params": [[0.07930000000000001], [-0.0864]], "bitstrings": ["001010100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.002477061851309573, 0.0024770618513095736], "optimization_time": 3.042877435684204} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 1 | {"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;
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[2];
rz(0.0793) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.0793) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.0793) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0793) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -17.105097116723595, "params": [[-0.035300000000000005, -0.0077], [0.06910000000000001, 0.0727]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006338369499371222, 0.008410261573641388], "optimization_time": 3.4045233726501465} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3177) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3177) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.3177) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(-0.3177) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-639020489791202921 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 5, 6], [0, 2], [2, 3]]} | {"states": [77, 53], "expectation_value": -0.18092982339160468, "params": [[[1.6502000000000001, 0.0067], [1.4784000000000002, 0.0013000000000000002], [1.7028, 0.0036000000000000003], [1.5994000000000002, 0.0044], [1.7125000000000001, 0.001], [1.6983000000000001, 0.0016], [1.7063000000000001, 0.0025]]], "bitstrings": [... | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) | 2 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0010010", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6502) q[0];
rz(0.0067) q[0];
rx(1.4784) q[1];
rz(0.0013) q[1];
rx(1.7028) q[2];
rz(0.0036) q[2];
rx(1.5994) q[3];
rz(0.0044) q[3];
rx(1.7125) q[4];
rz(0.001) q[4];
rx(1.6983) q[5];
rz(0.0016) q[5];
rx(1.7063) q[6];
rz(0.0025) q[6];
cx q[6], q[5];
cx 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] 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": []} |
23f356e4fc2150c1153c4d85ead8a085 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 17, "source": 0, "target": 7}, {"weight":... | {"states": [444, 428], "expectation_value": -90.95810374275169, "params": [0.183, 0.28190000000000004, 0.1791, 0.2827, 0.5954, 0.0252, 0.5948, -0.0286, 0.5913, -0.0131, 0.5911000000000001, -0.0238, 0.17800000000000002, -0.1872, 0.18150000000000002, -0.19210000000000002, 0.5967, -0.0117, 0.5969, -0.0292, 0.3594, 0.2586,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.5 * ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.183) q[0];
rz(0.2819) q[0];
rx(0.5954) q[1];
rz(0.0252) q[1];
rx(0.5913) q[2];
rz(-0.0131) q[2];
rx(0.178) q[3];
rz(-0.1872) q[3];
rx(0.5967) q[4];
rz(-0.0117) q[4];
rx(0.3594) q[5];
rz(0.2586) q[5];
rx(0.5912) q[6];
rz(0.0145) q[6];
rx(0.5928) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
b3dcb53c8b4774df946153af64089e6d | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6},... | {"states": [31, 1567], "expectation_value": -27.54442776829012, "params": [[[0.0023, 0.0068000000000000005], [1.6156000000000001, 0.0053], [0.0025, 0.0082], [0.0025, 0.0009000000000000001], [0.0025, 0.009600000000000001], [-3.1564, 0.0063], [0.0024000000000000002, 0.0059], [0.0025, 0.0059], [0.0025, 0.0074], [0.0024000... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["00111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0023) q[0];
rz(0.0068) q[0];
rx(1.6156) q[1];
rz(0.0053) q[1];
rx(0.0025) q[2];
rz(0.0082) q[2];
rx(0.0025) q[3];
rz(0.0009) q[3];
rx(0.0025) q[4];
rz(0.0096) q[4];
rx(-3.1564) q[5];
rz(0.0063) q[5];
rx(0.0024) q[6];
rz(0.0059) q[6];
rx(0.0025) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 3} | {"circuits": [], "gradients": []} |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [0, 509], "expectation_value": -5.078062561903261, "params": [[[0.0441, -0.1711], [0.0162, 0.5845], [0.0028, 0.0045000000000000005], [0.0028, 0.0024000000000000002], [0.0332, 0.0024000000000000002], [0.0028, 0.0029000000000000002], [0.0021000000000000003, 0.0028], [0.018000000000000002, 0.001], [0.1164, -0.3... | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0441) q[0];
ry(0.0162) q[1];
ry(0.0028) q[2];
ry(0.0028) q[3];
ry(0.0332) q[4];
ry(0.0028) q[5];
ry(0.0021) q[6];
ry(0.018) q[7];
ry(0.1164) q[8];
ry(0.1123) 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[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
668f90355fba57bcb4fb60386433c90f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [149, 157], "expectation_value": -2.4939324211335174, "params": [0.8091, 0.0354, 0.3049, 0.4829, 0.0813, 0.4693, 0.807, 0.2811, 0.8078000000000001, -0.0009000000000000001, 0.8101, -0.0013000000000000002, 0.0862, 0.45130000000000003, 0.8017000000000001, 0.2617, 0.8039000000000001, 0.0023, 0.29810000000000003,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(7) + -0.5 * Z(3) + 0.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8091) q[0];
rz(0.0354) q[0];
rx(0.3049) q[1];
rz(0.4829) q[1];
rx(0.0813) q[2];
rz(0.4693) q[2];
rx(0.807) q[3];
rz(0.2811) q[3];
rx(0.8078) q[4];
rz(-0.0009) q[4];
rx(0.8101) q[5];
rz(-0.0013) q[5];
rx(0.0862) q[6];
rz(0.4513) q[6];
rx(0.8017) 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": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 161.67207169532776} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "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];
ry(9.9081) q[1];
ry(-2.3419) q[5];
ry(-5.0407) q[6];
ry(-0.8504) q[2];
cry(4.7697) q[6], q[1];
ry(24.6247) q[7];
ry(26.1061) q[3];
cry(-14.5576) q[3], q[1];
cry(-9.982) q[6], q[7];
cry(-15.5863) q... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[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[... |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -3.060426192187042, "params": [[-0.26880000000000004], [0.2787]], "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 30, "probabilities": [0.017243611506596413, 0.01724361150659642], "optimization_time": 2.929234027862549} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.2688) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.2688) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(0.2688) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(0.2688) q[2];
cx q[5], q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
fcba12f78dbb04a944afdfe31d032329 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -1.3384522738900042, "params": [[0.0673, 0.0732, 0.07100000000000001], [-0.056100000000000004, -0.0637, -0.058600000000000006]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.010968821077789, 0.012027059125748297], "optimization_time... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | 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(-0.0673) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0673) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0673) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0673) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6502104399488242620 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [1, 4], [0, 2, 5], [1, 2, 3], [0, 2, 4], [0, 3], [1, 5], [3, 5], [0, 4, 5]]} | {"states": [14, 30], "expectation_value": -1.5514117219392844, "params": [[[0.5877, 1.3898000000000001], [-0.2149, 0.22460000000000002], [-1.5777, 1.5882], [-0.0001, 1.588], [0.17800000000000002, 0.0403], [-0.4491, 0.37560000000000004], [0.7552, 0.8462000000000001]]], "bitstrings": ["1110001", "1100001"], "total_optimi... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @... | 15 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.500000000000001, "smallest_bitstrings": ["1100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.5877) q[0];
ry(-0.2149) q[1];
ry(-1.5777) q[2];
ry(-0.0001) q[3];
ry(0.178) q[4];
ry(-0.4491) q[5];
ry(0.7552) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.3898) q[0];
ry(0.2246) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
9085778131698867843 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 5, 7, 8], [0, 1, 2, 5, 6, 7, 8], [1, 4, 6], [1, 2, 3, 4, 5, 7, 8], [0, 2, 4, 5, 6, 8], [3, 6], [0, 1, 2, 3, 5, 7]]} | {"states": [143, 497], "expectation_value": -0.04088628584519743, "params": [[0.07250000000000001], [-0.0659]], "bitstrings": ["101110000", "000001110"], "total_optimization_steps": 10, "probabilities": [0.0020469602515713566, 0.0020479089006414652], "optimization_time": 4.217590570449829} | 0.08095238095238094 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(3) @ Z(1)) + 0.05714285714285714 * (Z(3) @ Z(0)) + 0.21428571428571427 * (Z(4) @ Z(1)) + 0.05714285714285714 * (Z(4) @ Z(0)) + 0.047619047619047616 * (Z(4) @ Z(3)) + 0.10476190476190475 * (Z(5) @ Z(1)) + 0.11428571428571427 * (Z(5) @ Z(0)) + 0.0809523809523... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7571428571428565], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7238095238095241, "smallest_bitstrings": ["000001110"]} | 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(0.0117) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0117) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0083) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0311) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.61270499229431} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[2];
ry(1.2953) q[5];
ry(1.0363) q[4];
cry(-0.9078) q[0], q[3];
ry(0.7172) q[0];
cry(-0.5348) q[4], q[3];
cry(0.5333) q[5], q[0];
cry(-0.1259) q[5], q[1];
cry(0.4013) q[5], q[4];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
73234867a8d73902463f648150631001 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [125, 63], "expectation_value": -3.7498871464474246, "params": [[0.0027, 0.0026000000000000003, 0.0015, -0.0296, 0.44630000000000003, 0.0027, 1.5682], [0.8917, 0.0034000000000000002, 0.0026000000000000003, 0.6145, 0.0026000000000000003, 0.44970000000000004, 1.5686], [-1.6563, 0.0354, 0.596, 1.568, 1.1913, 1.... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "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];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0027) q[0];
rx(0.0026) q[1];
rx(0.0015) q[2];
rx(-0.0296) q[3];
rx(0.4463) q[4];
rx(0.0027) q[5];
rx(1.5682) ... | OPENQASM 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": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [30, 15], "expectation_value": -4.7499153204374736, "params": [[1.5710000000000002, -0.0032, 0.4334, 0.0024000000000000002, -0.0028], [2.3474, 1.4856, 1.5684, 0.4358, -0.0027], [-0.0028, 0.0025, 1.5684, -0.003, 1.5759]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 380, "probabilities": [0.2... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 9 | 5 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | 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];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.571) q[0];
rx(-0.0032) q[1];
rx(0.4334) q[2];
rx(0.0024) q[3];
rx(-0.0028) q[4];
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
162fe25b85864244a9d036e97bb77681 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 8}, {"weight": 20, "source": 0, "target": 3}, {"weight": 17, "sourc... | {"states": [249, 244], "expectation_value": -19.263652754648504, "params": [[-0.032600000000000004, 0.0033], [0.0753, 0.0703]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0059581342444756024, 0.00786526298342101], "optimization_time": 3.302461862564087} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 7.5 * Z(2) + 10.5 * Z(0) + 15.0 * Z(1) + 17.5 * Z(3) + 1... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "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[2], q[0];
rz(-0.326) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.326) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.326) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.326) 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[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
a6c93ef13bc1ab87098804f7a4182b4e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"sour... | {"states": [278, 406], "expectation_value": -4.081701221481746, "params": [[[0.4091, 0.0032], [0.39840000000000003, -0.0001], [0.1582, 0.1317], [0.0028, -0.2015], [0.40040000000000003, -0.0002], [0.17200000000000001, -0.1233], [0.4061, -0.0019], [0.4056, 0.0007], [-0.018500000000000003, 0.2154]], [[0.39940000000000003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + -1... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["000111001", "011100001", "001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4091) q[0];
rz(0.0032) q[0];
rx(0.3984) q[1];
rz(-0.0001) q[1];
rx(0.1582) q[2];
rz(0.1317) q[2];
rx(0.0028) q[3];
rz(-0.2015) q[3];
rx(0.4004) q[4];
rz(-0.0002) q[4];
rx(0.172) q[5];
rz(-0.1233) q[5];
rx(0.4061) q[6];
rz(-0.0019) q[6];
rx(0.4056) 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": []} |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [41, 42], "expectation_value": -0.4696316687055926, "params": null, "bitstrings": ["010110", "010101"], "total_optimization_steps": 35, "probabilities": [0.06093874768610953, 0.320435824215351], "optimization_time": 23.313288688659668} | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 5 | 6 | 1 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "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];
cry(-0.6059) q[0], q[1];
cry(-0.5978) q[4], q[5];
cry(-0.5969) q[2], q[3];
cry(-0.379) q[1], q[0];
ry(0.3465) q[0];
cry(-0.3755) q[3], q[2];
ry(0.3598) q[2];
cry(-0.3755) q[5], q[4];
ry(0.3591) q[4];
cry(0.1336) ... | null | {"communities_size": 2, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-0.6059) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
b35b67be6f13e1c7d0fe900b84e9f3d0 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [83, 90], "expectation_value": -0.3586171315657727, "params": [[0.0528, 0.0693], [-0.030100000000000002, -0.0572]], "bitstrings": ["0101100", "0100101"], "total_optimization_steps": 10, "probabilities": [0.009826650754594381, 0.010077653704147843], "optimization_time": 2.8345789909362793} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0528) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.0528) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.0528) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(0.0528) q[3];
cx q[4], q[3];
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] 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];... | null | {"circuits": [], "gradients": []} |
b06e27961007262f3a2ecbf8aba20c59 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [38, 166], "expectation_value": -3.776659398146403, "params": [1.6054000000000002, 0.005200000000000001, 0.0118, -0.4534, 1.6107, -0.0033, 0.34450000000000003, 0.4656, 1.5987, -0.0016, 1.5494, -0.0036000000000000003, 1.6039, 0.0028, 0.8225, 0.0026000000000000003, -1.5301, -0.018500000000000003, -1.5828, 0.65... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011001", "01010110", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6054) q[0];
rz(0.0052) q[0];
rx(0.0118) q[1];
rz(-0.4534) q[1];
rx(1.6107) q[2];
rz(-0.0033) q[2];
rx(0.3445) q[3];
rz(0.4656) q[3];
rx(1.5987) q[4];
rz(-0.0016) q[4];
rx(1.5494) q[5];
rz(-0.0036) q[5];
rx(1.6039) q[6];
rz(0.0028) q[6];
rx(0.8225) 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": []} |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -5.749999999986026, "params": null, "bitstrings": ["10100", "10110"], "total_optimization_steps": 17, "probabilities": [0.49999999999767164, 0.49999999999767164], "optimization_time": 7.5881030559539795} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5706) q[1];
ry(-1.5706) q[2];
ry(-1.5708) q[0];
ry(1.5708) q[4];
cry(-0.0002) q[4], q[2];
cry(0.0002) q[4], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = measure q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
647de892521e2aa63be27d4c6c55af2d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [127, 126], "expectation_value": -0.6322881975348642, "params": [[0.0767], [-0.0668]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.010566734025198905, 0.010784628259019964], "optimization_time": 1.124762773513794} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0000001"]} | 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(-0.3068) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3068) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2301) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3068) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
1907147209910039680 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6, 7], [1, 2, 3, 5, 6, 7], [1, 2, 3, 4, 7], [0, 1, 2, 3, 4, 5, 6], [0, 2, 3, 7], [2, 3, 4, 5, 6, 7]]} | {"states": [171, 235], "expectation_value": -1.0663455648073006, "params": [1.6887, 0.003, 1.6386, 0.0027, 3.1449000000000003, 0.0081, 0.7649, 0.0039000000000000003, 3.1397, 0.0034000000000000002, 0.7959, 0.0037, 3.1385, 0.0014, 3.1442, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0... | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.1738095238095238 * (Z(6) @ Z(3)) + 0.10714285714285714 * (Z(6) @ Z(0)) + 0.2833333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.15 * (Z(7) @ Z(6)) + 0.10714285714285715 * (Z(1) @ Z(3)) + 0.023809523809523808 * (Z(1) @ Z(0)) + 0.05714285714285714 * (Z(1) @ Z(... | 16 | 8 | 1 | {"smallest_eigenvalues": [-1.2904761904761903, -1.2904761904761903], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2571428571428571, "smallest_bitstrings": ["00100010", "00010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6887) q[0];
rz(0.003) q[0];
rx(1.6386) q[1];
rz(0.0027) q[1];
rx(3.1449) q[2];
rz(0.0081) q[2];
rx(0.7649) q[3];
rz(0.0039) q[3];
rx(3.1397) q[4];
rz(0.0034) q[4];
rx(0.7959) q[5];
rz(0.0037) q[5];
rx(3.1385) q[6];
rz(0.0014) q[6];
rx(3.1442) 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": []} |
5a72f9b916a73a48e6cf7a8b539a43a1 | 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": [591, 589], "expectation_value": -48.190434326768624, "params": [1.4872, 0.009000000000000001, 2.0052000000000003, 0.0013000000000000002, 0.14020000000000002, 0.0028, 0.37460000000000004, 0.0046, 2.0132, 0.0067, -0.0031000000000000003, 0.0001, 1.3657000000000001, 0.0036000000000000003, 2.0077000000000003, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(9)) + 15.0 * Z(1) + 2.5 * Z(0) + -4.0 * Z(2) + -3.0 * Z(3) + 10.0 * Z(4) + -6.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["10110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4872) q[0];
rz(0.009) q[0];
rx(2.0052) q[1];
rz(0.0013) q[1];
rx(0.1402) q[2];
rz(0.0028) q[2];
rx(0.3746) q[3];
rz(0.0046) q[3];
rx(2.0132) q[4];
rz(0.0067) q[4];
rx(-0.0031) q[5];
rz(0.0001) q[5];
rx(1.3657) q[6];
rz(0.0036) q[6];
rx(2.0077) 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, 14]}"} | {"circuits": [], "gradients": []} |
-6508177323496590703 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [114, 226], "expectation_value": -3.061369057878479, "params": null, "bitstrings": ["10001101", "00011101"], "total_optimization_steps": 71, "probabilities": [0.06407489709276876, 0.717702386310324], "optimization_time": 113.45228791236877} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[6], q[7];
ry(1.3762) q[2];
cry(-0.7081) q[5], q[7];
ry(1.0162) q[6];
cry(-0.7081) q[1], q[4];
ry(1.0536) q[1];
cry(-1.2325) q[1], q[5];
cry(-1.1674) q[0], 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];\ncry(-1.0342) 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[6] = me... |
38d3fa2976b5708749ef569b176bf86a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.43311581286588385, "params": [[0.0664], [-0.0692]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03712682592225945, 0.03826665230669546], "optimization_time": 0.9758679866790771} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -2.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(3) + -0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0996) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1992) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.3652) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0664) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.1328) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.29908051445781, "params": [-0.0034000000000000002, 0.8366, 1.0509, -0.0025, 0.003, 0.8687, 0.5349, -0.0129, 0.0028, 0.8699, -0.0004, 0.8913000000000001, 1.0532000000000001, 0.007500000000000001, -0.0025, 0.8446, 1.0498, 0.0027, 0.0029000000000000002, 0.8136, 0.5357000000000... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 3 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0034) q[0];
rz(0.8366) q[0];
rx(1.0509) q[1];
rz(-0.0025) q[1];
rx(0.003) q[2];
rz(0.8687) q[2];
rx(0.5349) q[3];
rz(-0.0129) q[3];
rx(0.0028) q[4];
rz(0.8699) q[4];
rx(-0.0004) q[5];
rz(0.8913) q[5];
rx(1.0532) q[6];
rz(0.0075) q[6];
crz(0.0103) q[6], 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": 6} | {"circuits": [], "gradients": []} |
-8380126326215405259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 5, 7, 10], [8, 9, 10, 4], [2, 3, 7, 8, 9, 10, 11], [6, 7, 8, 9, 10], [8, 1, 7], [3, 2, 11, 6], [0, 1, 2, 9, 10, 11], [0, 9, 10, 7], [1, 2, 6, 8, 9], [1, 2, 5, 9, 10], [0, 2, 6, 7, 8, 9, 11], [0, 1, 3, 6, 8], [11, 4, 5, 6], [0, 3, 5, 9, 11], [0, 1, ... | {"states": [1911, 1399], "expectation_value": -3.205620452676214, "params": [[[1.4264000000000001, 0.008, 0.0059, 0.0019], [0.0002, 0.0267, 1.5734000000000001, 0.002], [1.4736, 0.0023, 0.0044, 0.0098], [-0.0161, -0.0037, 1.5771000000000002, 0.0017000000000000001], [0.5725, 0.0041, 0.0074, 0.008400000000000001], [1.2096... | 0.07380952380952381 * (Z(0) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.28095238095238095 * (Z(5) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.23095238095238094 * (Z(7) @ Z(0)) + 0.07380952380952381 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(10) @ Z(4)) + 0.26666666666666666 * (Z(10) @ Z(0)) + 0.18333333333333335 * (Z(10) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.133333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1190476190476195, "smallest_bitstrings": ["101010001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.4264) q[0];
rz(0.008) q[0];
ry(0.0002) q[1];
rz(0.0267) q[1];
ry(1.4736) q[2];
rz(0.0023) q[2];
ry(-0.0161) q[3];
rz(-0.0037) q[3];
ry(0.5725) q[4];
rz(0.0041) q[4];
ry(1.2096) q[5];
rz(0.0022) q[5];
ry(2.0944) q[6];
rz(0.0018) q[6];
ry(0.0021) 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": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.21414492696127096, "params": [[-0.0327, -0.0453, -0.026000000000000002], [0.0122, 0.052500000000000005, 0.0308]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010030448444510872, 0.010342642591909432], "optimization_time": 3.61782... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "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[4], q[0];
rz(0.0163) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.0163) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.0327) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.049) q[1];
cx q[4], q[1];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
404057c7f12171487b8e4c0dec61ffa3 | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -1.0006924340228576, "params": [[0.0636, 0.0723, 0.07440000000000001, 0.0641], [-0.0334, -0.0614, -0.0717, -0.063]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.03406784147413414, 0.03456755155420338], "optimization_time": 3.827561616... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | 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(-0.0318) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0636) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0636) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(-0.0318) q[1];
cx q[5], q[1];
cx q[2], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
9963c266c8ee556cddb5b688a938b2f1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [15487, 16255], "expectation_value": -1.9363375194395178, "params": [[-0.0782], [0.0785]], "bitstrings": ["00001110000000", "00000010000000"], "total_optimization_steps": 10, "probabilities": [0.00013849483060290185, 0.0001415364846968086], "optimization_time": 39.95785880088806} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(10))... | 10 | 14 | 1 | {"smallest_eigenvalues": [-22.999999999999915], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.999999999999883, "smallest_bitstrings": ["00000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(0.3128) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1564) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3128) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(x0) ... | {"node": 5} | {"circuits": [], "gradients": []} |
8197999484372226377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 4, 6], [0, 2, 4], [4, 5]]} | {"states": [103, 231], "expectation_value": -1.106594759918099, "params": [[[1.5508000000000002, 0.0063], [0.3294, 0.0029000000000000002], [2.8868, 0.006200000000000001], [0.26280000000000003, 0.0035], [2.8922000000000003, 0.0098], [1.0075, 0.005], [0.2758, 0.0037], [2.8909000000000002, 0.0082]]], "bitstrings": ["10011... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666... | 2 | 8 | 1 | {"smallest_eigenvalues": [-1.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["00011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5508) q[0];
rz(0.0063) q[0];
rx(0.3294) q[1];
rz(0.0029) q[1];
rx(2.8868) q[2];
rz(0.0062) q[2];
rx(0.2628) q[3];
rz(0.0035) q[3];
rx(2.8922) q[4];
rz(0.0098) q[4];
rx(1.0075) q[5];
rz(0.005) q[5];
rx(0.2758) q[6];
rz(0.0037) q[6];
rx(2.8909) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -0.92845736893802, "params": [[0.0068000000000000005, 0.0468, 0.009600000000000001], [0.0125, -0.0412, -0.027700000000000002]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005817441985030184, 0.00589702697778665], "optimization_tim... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | 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(-0.0034) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0204) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0204) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0068) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
88525e42a6b52b1310ef85f16cc3cc65 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [159, 143], "expectation_value": -55.41463622479437, "params": [0.9912000000000001, 0.004, -0.0029000000000000002, 0.6644, 0.3008, 0.3603, 0.4893, -0.2353, 0.9911000000000001, 0.10200000000000001, 0.9895, -0.012, 0.9943000000000001, 0.0238, 0.9735, 0.1589, 0.9939, -0.0063, -0.0038, 0.6692, 0.2997, 0.3613, 0.... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 21.0 * Z(0) + -5.5 * Z(1) + 10.0 * Z(3) + 5.5 * Z(4) + 3.5 * Z(2) + 7.5 * Z(5) + 15.5 * Z(6) + 12.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["01110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9912) q[0];
rz(0.004) q[0];
rx(-0.0029) q[1];
rz(0.6644) q[1];
rx(0.3008) q[2];
rz(0.3603) q[2];
rx(0.4893) q[3];
rz(-0.2353) q[3];
rx(0.9911) q[4];
rz(0.102) q[4];
rx(0.9895) q[5];
rz(-0.012) q[5];
rx(0.9943) q[6];
rz(0.0238) q[6];
rx(0.9735) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -9.495006119839367, "params": [[0.057], [-0.07490000000000001]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.01370641605359119, 0.014668888744638514], "optimization_time": 2.1534671783447266} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"]} | 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(0.342) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.342) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.342) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.342) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.9030415441186825, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 100.38166093826294} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.4894) q[2], q[1];
ry(-1.5708) q[4];
ry(-1.5706) q[0];
cry(1.5708) q[1], q[7];
cry(1.5706) q[6], q[3];
cry(0.6139) q[1], q[6];
cry(0.2813) q[1], q[3];
cry(0.7223) q[3], q[6];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
16db80e23401221151a1d98fc21253cf | 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": [490, 234], "expectation_value": -45.81474542423631, "params": [1.5694000000000001, 0.005200000000000001, 2.4077, 0.009600000000000001, 2.3914, 0.0011, 2.4043, 0.007500000000000001, 0.9404, 0.0094, 2.4099, 0.004, 1.3765, 0.0015, 2.4049, 0.0066, -0.002, 0.001, 0.005, 0.0058000000000000005, 0.00240000000000000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 13.0 * Z(1) + 12.5 * Z(2) + 5.0 * Z(0) + 8.5 * Z(3) + 12.0 * Z(5) + 1.0 * Z(4) + 10.0 * Z(7) + 4.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5694) q[0];
rz(0.0052) q[0];
rx(2.4077) q[1];
rz(0.0096) q[1];
rx(2.3914) q[2];
rz(0.0011) q[2];
rx(2.4043) q[3];
rz(0.0075) q[3];
rx(0.9404) q[4];
rz(0.0094) q[4];
rx(2.4099) q[5];
rz(0.004) q[5];
rx(1.3765) q[6];
rz(0.0015) q[6];
rx(2.4049) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 1011], "expectation_value": -0.15398234103693248, "params": [[0.0364], [-0.0362]], "bitstrings": ["0000000000", "0000001100"], "total_optimization_steps": 10, "probabilities": [0.0010772562052295774, 0.0010772562052295783], "optimization_time": 1.5027375221252441} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 5 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | 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(-0.0728) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.1092) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0364) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.1092) q[5];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4]... | {"node": 6} | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 157.27636003494263} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "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];
ry(34.778) q[3];
ry(0.0048) q[2];
ry(0.0002) q[1];
ry(1.2274) q[5];
cry(0.5783) q[5], q[2];
cry(-8.4103) q[5], q[3];
cry(62.4025) q[3], q[2];
ry(4.311) q[6];
cry(2.041) q[5], q[1];
cry(62.9164) q[... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) 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[... |
f222dfb2324275edf5e9240be57dcb14 | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [44, 116], "expectation_value": -0.20484855651502, "params": [[-0.0234, -0.0529], [0.0218, 0.0526]], "bitstrings": ["1010011", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008747060220678664, 0.008763464509337272], "optimization_time": 2.879378318786621} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"]} | 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(-0.0234) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0234) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(-0.0234) q[1];
cx q[5], q[1];
cx q[3], q[6];
rz(-0.0234) q[6];
cx q[3], q[6];
cx q[5], 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;
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(x0) q[... | null | {"circuits": [], "gradients": []} |
7203b0dd22c47919131561d597fd7a8a | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -9.24249072502262, "params": [-0.0029000000000000002, -0.0716, -0.0034000000000000002, -0.06720000000000001, 0.0032, -0.16140000000000002, 0.0033, -0.1618, 0.0017000000000000001, -0.1595, 0.0008, -0.1653, 0.006, -0.0927, -0.0017000000000000001, -0.14880000000000002, 0.0235, 0.100... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0029) q[0];
rz(-0.0716) q[0];
rx(0.0032) q[1];
rz(-0.1614) q[1];
rx(0.0017) q[2];
rz(-0.1595) q[2];
rx(0.006) q[3];
rz(-0.0927) q[3];
rx(0.0235) q[4];
rz(0.1009) q[4];
rx(0.002) q[5];
rz(-0.1517) q[5];
rx(0.0036) q[6];
rz(-0.1558) q[6];
rx(-0.0009) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c76cc7fae6b2b79c3a2e42661a89d7e4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [1016, 1019], "expectation_value": -0.7862096657313686, "params": [[0.064], [-0.0645]], "bitstrings": ["0000000111", "0000000100"], "total_optimization_steps": 10, "probabilities": [0.0014118732869435001, 0.0014334819124027633], "optimization_time": 1.7627289295196533} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["0000000100", "0000000111"]} | 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[2], q[0];
rz(-0.192) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.192) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.064) q[1];
cx q[0], q[1];
cx q[5], q[3];
rz(-0.256) q[3];
cx q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
... | {"node": 10} | {"circuits": [], "gradients": []} |
6079455971109850391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2], [0, 3], [0, 4], [0, 5], [1, 7]]} | {"states": [126, 124], "expectation_value": -2.1567044244642957, "params": [0.4032, 0.6244000000000001, 0.3425, 0.0008, 1.2936, 0.1029, 1.2927, 0.0027, 1.2968, -0.1385, 1.3038, 0.0016, 1.2995, -0.1053, 1.2908000000000002, 0.0015, 1.2951000000000001, -0.10600000000000001, 1.2908000000000002, 0.0035, 1.3030000000000002, ... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000000", "00111101", "10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4032) q[0];
rz(0.6244) q[0];
rx(1.2936) q[1];
rz(0.1029) q[1];
rx(1.2968) q[2];
rz(-0.1385) q[2];
rx(1.2995) q[3];
rz(-0.1053) q[3];
rx(1.2951) q[4];
rz(-0.106) q[4];
rx(1.303) q[5];
rz(-0.1047) q[5];
rx(1.0801) q[6];
rz(-0.2595) q[6];
rx(0.4716) 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": []} |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 21.541810989379883} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[4], q[3];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[4], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2e176b1388169c31718c374b42e0c725 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 54.81309247016907} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5486) q[4];
cry(1.5626) q[2], q[3];
cry(1.2279) q[3], q[2];
ry(1.5158) q[5];
cry(-1.0348) q[6], q[0];
cry(0.9797) q[3], q[6];
cry(1.2085) q[2], q[1];
cry(-0.6038) q[3], q[0];
cry(0.4593) q[2], q[6];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-6715739738485015248 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 2], [4, 5]]} | {"states": [42, 14], "expectation_value": -1.4459077414127894, "params": null, "bitstrings": ["010101", "110001"], "total_optimization_steps": 31, "probabilities": [0.051759288924156245, 0.7900196277016767], "optimization_time": 15.779792785644531} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["110010", "110001", "101010", "101001", "001110", "001101", "010110", "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];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[3], q[0];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[4];
ry(0.7003) q[3];
ry(0.7003) q[2];
ry(-0.4549) q[1];
ry(-0.4549) q[0];
ry(-0.4549) q[5];
cry(0.4578) q[3], q[4];
cry(0.47... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
edcfb23bce20006c9068dffaa56954c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 9}, {"weight": 16, "source": 1, "target": 8}, {"weight"... | {"states": [427, 426], "expectation_value": -84.80845781581715, "params": [0.16440000000000002, -0.11280000000000001, 0.7802, 0.011300000000000001, 0.7916000000000001, 0.0055000000000000005, 0.2612, 0.056100000000000004, 0.7893, 0.0031000000000000003, 0.3584, -0.2701, 0.7894, -0.0022, 0.1316, 0.020300000000000002, 0.77... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 18.5 * Z(1) + 5.0 * Z(0) + 8.0 * Z... | 4 | 10 | 4 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1644) q[0];
rz(-0.1128) q[0];
rx(0.7802) q[1];
rz(0.0113) q[1];
rx(0.7916) q[2];
rz(0.0055) q[2];
rx(0.2612) q[3];
rz(0.0561) q[3];
rx(0.7893) q[4];
rz(0.0031) q[4];
rx(0.3584) q[5];
rz(-0.2701) q[5];
rx(0.7894) q[6];
rz(-0.0022) q[6];
rx(0.1316) q[7];
... | 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
e877d3b2f9804d2377a79bff7b887b67 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [203, 110], "expectation_value": -36.69061979915625, "params": null, "bitstrings": ["00110100", "10010001"], "total_optimization_steps": 100, "probabilities": [0.21089202198921272, 0.27726799749448156], "optimization_time": 149.84754395484924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "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(7.7632) q[1];
ry(63.0918) q[5];
cry(62.8231) q[1], q[5];
ry(9.3208) q[6];
cry(-7.1584) q[1], q[6];
ry(0.383) q[2];
cry(-1.1224) q[6], q[5];
cry(-1.118) q[1], q[2];
ry(26.0153) q[0];
ry(-1.8761)... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... |
6440352897ae715b0d3a7f54566e1380 | 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": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -25.327021181815557, "params": [[0.022000000000000002, 0.0106, -0.0086, 0.0024000000000000002], [-0.0521, -0.0654, -0.057100000000000005, -0.059300000000000005]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013638812398526944, 0... | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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];
cx q[1], q[0];
rz(0.176) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.176) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.176) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.176) q[3];
cx q[1], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
884c33f1fbfdb3489190b99b10954c8f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [512, 1], "expectation_value": -25.827460804750107, "params": null, "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 38, "probabilities": [0.2892268051818045, 0.6070108989081892], "optimization_time": 66.9370048046112} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "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(-1.57) q[3];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
cry(-1.5708) q[9], q[0];
ry(-1.5708) q[7];
ry(-1.5577) q[2];
ry(-1.5577) q[4];
ry(-1.5708) q[5];
ry(-1.5708) q[8];
ry(0.4105) ... | 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(-1.57) 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];... |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [24, 9], "expectation_value": -0.708278276343486, "params": [[-0.08080000000000001, -0.07930000000000001, -0.0653], [0.0781, 0.07880000000000001, 0.0728]], "bitstrings": ["00111", "10110"], "total_optimization_steps": 10, "probabilities": [0.0476830700843724, 0.04768307008437241], "optimization_time": 2.5833... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "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[3], q[0];
rz(-0.0808) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0808) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0808) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0808) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0808) 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] 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": []} |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -3.2956904391609854, "params": [[0.0724, 0.07440000000000001, 0.0734], [-0.0631, -0.0644, -0.0634]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.01438743867890528, 0.018152358805241728], "optimization_time": 3.382805585861206} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.181) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.1448) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.362) q[7];
cx q[0], q[7];
cx q[3], q[2];
rz(-0.2172) q[2];
cx q[3], q[2];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e9e1c3bad7671d416f508c960af260f6 | max_flow | 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": [2997, 4021], "expectation_value": -11.335457761776276, "params": [[[1.5746, 1.864], [0.0028, -1.2873], [1.0173, 0.0027], [-0.050300000000000004, -0.0026000000000000003], [1.5751000000000002, 1.0082], [-0.0027, 1.0052], [-0.9881000000000001, -0.0031000000000000003], [0.0016, -0.0031000000000000003], [1.6975,... | 0.5 * (Z(4) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(4)) + 1.0 * (Z(10) @ Z(8)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(5)) ... | 15 | 13 | 2 | {"smallest_eigenvalues": [-12.200000000000003, -12.200000000000003, -12.200000000000003, -12.200000000000003], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.000000000000002, "smallest_bitstrings": ["1000001001001", "1000000001000", "1000011001100", "1000001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5746) q[0];
ry(0.0028) q[1];
ry(1.0173) q[2];
ry(-0.0503) q[3];
ry(1.5751) q[4];
ry(-0.0027) q[5];
ry(-0.9881) q[6];
ry(0.0016) q[7];
ry(1.6975) q[8];
ry(-0.5905) q[9];
ry(-0.2165) q[10];
ry(-0.1611) q[11];
ry(1.0171) q[12];
cx q[12], q[0];
cx q[11], 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": 6} | {"circuits": [], "gradients": []} |
e60297b909a5ba9a1b43addfacb68a9e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [748, 620], "expectation_value": -116.59290330731582, "params": [-0.0028, 0.4959, 0.7004, 0.1265, 0.09920000000000001, 0.3015, 0.29760000000000003, -0.171, 0.6959000000000001, 0.011600000000000001, 0.7011000000000001, 0.0056, -0.0022, 0.3643, 0.7005, -0.0045000000000000005, 0.6930000000000001, 0.113, 0.2504,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 0.5 * Z(2) + 16.5 * Z(1) + 16.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-140.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["10110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0028) q[0];
rz(0.4959) q[0];
rx(0.7004) q[1];
rz(0.1265) q[1];
rx(0.0992) q[2];
rz(0.3015) q[2];
rx(0.2976) q[3];
rz(-0.171) q[3];
rx(0.6959) q[4];
rz(0.0116) q[4];
rx(0.7011) q[5];
rz(0.0056) q[5];
rx(-0.0022) q[6];
rz(0.3643) q[6];
rx(0.7005) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
155388a51f67e78b5cb4ef00a89a070e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [26, 10], "expectation_value": -2.87004574440299, "params": [0.0041, 0.4264, 0.5172, 0.049800000000000004, 0.6039, 0.0073, 0.002, 0.453, 0.5528000000000001, -0.0036000000000000003, 0.0011, 0.3951, -0.0026000000000000003, 0.42160000000000003, 0.5169, 0.0497, 0.6071000000000001, 0.0082, 0.0015, 0.445, 0.5483, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5) | 18 | 6 | 3 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111", "110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0041) q[0];
rz(0.4264) q[0];
rx(0.5172) q[1];
rz(0.0498) q[1];
rx(0.6039) q[2];
rz(0.0073) q[2];
rx(0.002) q[3];
rz(0.453) q[3];
rx(0.5528) q[4];
rz(-0.0036) q[4];
rx(0.0011) q[5];
rz(0.3951) q[5];
crz(-0.3887) q[5], q[0];
crz(0.0191) q[4], q[5];
crz(-0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -26.95783215482855, "params": [[-0.0363, 0.0012000000000000001, 0.0129], [0.0785, 0.065, 0.0637]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01349818778159668, 0.016960834465058416], "optimization_time": 9.397437810897827} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "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(-0.2904) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2904) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2904) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2904) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"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": -10.853058880807433, "params": [[-0.0145, -0.012100000000000001, 0.0378, 0.0251], [0.0128, 0.0178, -0.0315, -0.0334]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0036294732059556955, 0.004263247370488369], "optimization_time"... | 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 | 4 | {"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(-0.1305) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1305) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1305) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.1305) 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": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.059456772420078935, "params": [[0.050300000000000004, 0.0175], [-0.042100000000000005, -0.0244]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.01679928591834917, 0.016810881056744872], "optimization_time": 2.9997751712799072} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0503) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0503) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(0.0503) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.0503) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(0.0503... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [112, 97], "expectation_value": -3.4890655849039938, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 29, "probabilities": [0.06023653945128992, 0.8645368914475874], "optimization_time": 17.858749866485596} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[1];
cry(-1.0343) q[0], q[3];
cry(-1.0343) q[6], q[2];
ry(0.7003) q[0];
ry(0.7003) q[6];
ry(-0.4549) q[3];
cry(0.4963) q[1], q[0];
ry(-0.4549) q[2];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -0.30405677564269173, "params": [[-0.063, -0.0579, -0.0437], [0.0747, 0.0719, 0.067]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.07812706715084677, 0.0864286489093529], "optimization_time": 1.844092607498169} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.063) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.063) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.063) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0945) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(0.063) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 52], "expectation_value": -2.543568773503321, "params": [0.40650000000000003, -0.0015, 0.4001, 0.0034000000000000002, -0.004, 0.22080000000000002, 0.3921, 0.0111, -0.008, 0.1874, 0.39080000000000004, 0.08410000000000001, 0.39890000000000003, -0.0009000000000000001, 0.4073, -0.0009000000000000001, -0.000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4065) q[0];
rz(-0.0015) q[0];
rx(0.4001) q[1];
rz(0.0034) q[1];
rx(-0.004) q[2];
rz(0.2208) q[2];
rx(0.3921) q[3];
rz(0.0111) q[3];
rx(-0.008) q[4];
rz(0.1874) q[4];
rx(0.3908) q[5];
rz(0.0841) q[5];
crz(0.1964) q[5], q[4];
crz(-0.1807) q[4], q[3];
crz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e877d3b2f9804d2377a79bff7b887b67 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -29.62344284122343, "params": [[-0.0383, -0.006, 0.0029000000000000002, 0.0137], [0.07300000000000001, 0.0695, 0.0692, 0.062]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.021144555844544437, 0.02332617321522402], "optimization_... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "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];
cx q[1], q[0];
rz(-0.3447) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3447) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3447) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3447) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
80a46f0a5cedb0a8ae3935f071dccc0f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [509, 1020], "expectation_value": -13.51645263592028, "params": [[[-1.5689000000000002, 1.5844], [0.0035, 1.5635000000000001], [-0.0015, -0.0013000000000000002], [-0.0024000000000000002, 0.0178], [0.002, -0.0023], [-0.0029000000000000002, -0.002], [-0.0032, -0.0029000000000000002], [-0.003, -0.00290000000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(0) + 0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.5689) q[0];
ry(0.0035) q[1];
ry(-0.0015) q[2];
ry(-0.0024) q[3];
ry(0.002) q[4];
ry(-0.0029) q[5];
ry(-0.0032) q[6];
ry(-0.003) q[7];
ry(-0.8372) q[8];
ry(-0.8698) 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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 9} | {"circuits": [], "gradients": []} |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 19.121500492095947} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "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[3];
ry(-1.5706) q[5];
cry(1.5486) q[6], q[4];
cry(1.228) q[4], q[6];
ry(1.5158) q[1];
cry(-1.4869) q[6], q[0];
ry(-1.3848) q[2];
cry(-0.1701) q[1], q[2];
ry(-0.0831) q[0];
cry(0.048) q[4], q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
cf63e2458a0741acd2ef8c128602eb3a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [11, 67], "expectation_value": -4.996515541748847, "params": null, "bitstrings": ["1110100", "0111100"], "total_optimization_steps": 24, "probabilities": [0.06700896507643245, 0.9297460583131163], "optimization_time": 26.49716281890869} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[2];
ry(-1.4449) q[4];
ry(1.4449) q[5];
ry(1.4417) q[6];
cry(-1.0398) q[0], q[3];
ry(0.7022) q[0];
ry(-0.4578) q[3];
cry(0.497) q[5], q[0];
cry(-0.3761) q[5], q[3];
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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
1909115557766259076 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 6], [0, 3, 4, 5, 6], [0, 2, 5, 6], [1, 4], [0, 1]]} | {"states": [85, 93], "expectation_value": -1.613746472076448, "params": null, "bitstrings": ["0101010", "0100010"], "total_optimization_steps": 39, "probabilities": [0.10864596978185331, 0.8194020951567323], "optimization_time": 49.00988578796387} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.1333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6166666666666667, "smallest_bitstrings": ["0100010"]} | 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(1.2599) q[6];
cry(-0.9675) q[4], q[1];
ry(1.1686) q[0];
cry(-0.5159) q[0], q[1];
ry(1.14) q[4];
ry(-0.4514) q[1];
cry(0.3642) q[4], q[0];
cry(0.3436) q[0], q[4];
cry(-0.1096) q[6], q[1];
cry(0.4185) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2599) 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", "... |
4f469c7e46eb2af0afcc0adf37eb51e5 | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [57, 25], "expectation_value": -2.856322274415921, "params": [0.0021000000000000003, 0.298, 0.0029000000000000002, 0.2997, 0.2364, 0.2359, 0.2401, 0.21380000000000002, 0.5021, 0.0059, 0.4995, 0.0071, 0.4466, -0.031100000000000003, 0.449, 0.0013000000000000002, 0.0021000000000000003, 0.28700000000000003, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.25 * Z(6) | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100110", "0110110", "1001011", "1001110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0021) q[0];
rz(0.298) q[0];
rx(0.2364) q[1];
rz(0.2359) q[1];
rx(0.5021) q[2];
rz(0.0059) q[2];
rx(0.4466) q[3];
rz(-0.0311) q[3];
rx(0.0021) q[4];
rz(0.287) q[4];
rx(-0.0006) q[5];
rz(0.2423) q[5];
rx(0.4375) q[6];
rz(-0.0067) q[6];
crz(0.0921) q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c62624d83c69449427f98082791e1151 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, {"sour... | {"states": [41, 169], "expectation_value": -3.640776980118839, "params": [0.7356, 0.051000000000000004, 0.734, 0.0055000000000000005, 0.8077000000000001, 0.0081, 0.8114, 0.0022, 0.7555000000000001, -0.055600000000000004, 0.753, 0.0077, 0.8583000000000001, -0.0045000000000000005, 0.859, 0.0017000000000000001, 0.70090000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(6) + -1.0 * Z(0) + -1.0 * Z(7) + -1.0 * Z(8) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.5, "smallest_bitstrings": ["110010110", "001100111", "001010111", "101010110", "010010111", "101100101", "010100111", "110100110", "110100101", "101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7356) q[0];
rz(0.051) q[0];
rx(0.8077) q[1];
rz(0.0081) q[1];
rx(0.7555) q[2];
rz(-0.0556) q[2];
rx(0.8583) q[3];
rz(-0.0045) q[3];
rx(0.7009) q[4];
rz(0.0648) q[4];
rx(0.9052) q[5];
rz(0.002) q[5];
rx(-0.002) q[6];
rz(0.4869) q[6];
rx(0) q[7];
rz(-0.3603... | OPENQASM 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": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [152, 153], "expectation_value": -2.9047602657837923, "params": [3.1437, 0.0005, -0.0026000000000000003, 0.0053, -0.0024000000000000002, 0.0034000000000000002, 3.1438, 0.0049, 3.1445000000000003, 0.004200000000000001, 0.0027, 0.0082, -0.020300000000000002, 0.0068000000000000005, -1.6308, 0.0067, 0.0042000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(6) @ Z(0) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(0)) + -0.125 * (Z(4)... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10100110", "10100101", "01100110", "01101001", "10101001", "01101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(3.1437) q[0];
rz(0.0005) q[0];
rx(-0.0026) q[1];
rz(0.0053) q[1];
rx(-0.0024) q[2];
rz(0.0034) q[2];
rx(3.1438) q[3];
rz(0.0049) q[3];
rx(3.1445) q[4];
rz(0.0042) q[4];
rx(0.0027) q[5];
rz(0.0082) q[5];
rx(-0.0203) q[6];
rz(0.0068) q[6];
rx(-1.6308) 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": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | 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": [207, 199], "expectation_value": -1.308780918298839, "params": [0.5886, 0.0432, 0.6771, 0.1405, 0.0911, 0.3008, 0.09040000000000001, 0.30510000000000004, 0.36860000000000004, 0.3184, 0.5951000000000001, 0.006500000000000001, 0.6637000000000001, -0.0969, 0.6454000000000001, 0.0029000000000000002, 0.5807, 0.01... | 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)... | 18 | 8 | 4 | {"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;
rx(0.5886) q[0];
rz(0.0432) q[0];
rx(0.6771) q[1];
rz(0.1405) q[1];
rx(0.0911) q[2];
rz(0.3008) q[2];
rx(0.0904) q[3];
rz(0.3051) q[3];
rx(0.3686) q[4];
rz(0.3184) q[4];
rx(0.5951) q[5];
rz(0.0065) q[5];
rx(0.6637) q[6];
rz(-0.0969) q[6];
rx(0.6454) 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": []} |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [19, 26], "expectation_value": -0.7854157215831217, "params": [[0.0733, 0.078], [-0.0553, -0.0651]], "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 10, "probabilities": [0.010859911832200876, 0.011243150640920827], "optimization_time": 3.1052072048187256} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0733) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0733) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0733) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0733) 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] 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": []} |
da6f888553e0928bf84cb7c24eceee80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.184502088555178, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 62.63357353210449} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(1.5708) q[4];
cry(1.5706) q[4], q[2];
cry(1.5486) q[4], q[6];
cry(1.5485) q[4], q[5];
cry(-1.0343) q[7], q[0];
ry(1.067) q[7];
cry(1.3882) q[6], q[3];
cry(-0.7227) q[4], q[0];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 1], "expectation_value": -4.845334286173559, "params": [[[0.0011, 0.262], [0.0027, 0.6028], [0.0025, 0.6125], [0.0023, 0.6095], [0.609, -0.0053], [0.602, 0.0], [0.7999, 0.0036000000000000003]], [[0.0043, 0.005200000000000001], [0.0027, 0.006500000000000001], [0.0025, 0.00030000000000000003], [0.0023, 0.0... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0011) q[0];
rz(0.262) q[0];
rx(0.0027) q[1];
rz(0.6028) q[1];
rx(0.0025) q[2];
rz(0.6125) q[2];
rx(0.0023) q[3];
rz(0.6095) q[3];
rx(0.609) q[4];
rz(-0.0053) q[4];
rx(0.602) q[5];
rz(0) q[5];
rx(0.7999) q[6];
rz(0.0036) q[6];
rx(0.0043) q[0];
rz(0.0052) 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": 6} | {"circuits": [], "gradients": []} |
59c7593c47cfd4ca2ab0ec4e9d99b357 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -4.205475412921601, "params": [[-0.051800000000000006, -0.0388, -0.021400000000000002, 0.08], [0.0751, 0.0653, 0.056400000000000006, -0.0358]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.015521324491351577, 0.016306352646179995],... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.1036) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.1036) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(-0.1295) q[7];
cx q[0], q[7];
cx q[6], q[1];
rz(0.1295) q[1];
cx q[6], q[1];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 139.15215182304382} | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"]} | 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(-1.4868) q[0];
cry(-1.3016) q[4], q[6];
cry(-1.3016) q[1], q[2];
ry(1.2941) q[3];
ry(1.2938) q[5];
ry(0.7825) q[4];
ry(-0.6333) q[6];
ry(0.7818) q[1];
ry(-0.633) q[2];
cry(1.1588) q[4], q[7];
c... | 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(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
416a6399d97d76097b004d7d10dbde6a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [3, 15], "expectation_value": -10.000081451777167, "params": null, "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 37, "probabilities": [0.18748173671670215, 0.5625385282288473], "optimization_time": 38.52861189842224} | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -2.0 * Z(3) + -2.0 * Z(0) + -2.0 * Z(1) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[2];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.5708) q[3];
cry(1.5486) q[6], q[7];
cry(1.2305) q[7], q[6];
cry(1.5486) q[5], q[4];
cry(1.2305) q[4], q[5];
ry(0.0163) q[7];
ry(0.0163) ... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | 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": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.2720219731347546, "params": [0.8052, 0.0057, 0.0028, -0.4058, 0.0025, 0.5595, 0.0018000000000000002, -0.5349, 0.8097000000000001, 0.0034000000000000002, 0.0028, 0.0037, 0.0025, 0.0014, 0.0018000000000000002, 0.0047, 0.5374, 0.001, 0.40750000000000003, -0.5375, 0.00580000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 18 | 4 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.8052) q[0];
rz(0.0057) q[0];
rx(0.0028) q[1];
rz(-0.4058) q[1];
rx(0.0025) q[2];
rz(0.5595) q[2];
rx(0.0018) q[3];
rz(-0.5349) q[3];
crz(0.5374) q[3], q[0];
crz(-0.5375) q[2], q[3];
crz(0.4075) q[1], q[2];
crz(0.001) q[0], q[1];
rx(0.8097) q[0];
rz(0.0034... | OPENQASM 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": []} |
c0497b20d0e680cacc77174a13e8b8b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [246, 118], "expectation_value": -60.77250361197841, "params": [0.5108, -0.2419, 0.992, 0.0079, 0.9899, 0.0008, 0.9926, 0.084, 0.5309, 0.2571, 0.9981000000000001, -0.0079, 0.9961000000000001, 0.1766, 0.17220000000000002, 0.4037, 0.5167, -0.2464, 0.9978, 0.0142, 0.9954000000000001, 0.0024000000000000002, 0.99... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5108) q[0];
rz(-0.2419) q[0];
rx(0.992) q[1];
rz(0.0079) q[1];
rx(0.9899) q[2];
rz(0.0008) q[2];
rx(0.9926) q[3];
rz(0.084) q[3];
rx(0.5309) q[4];
rz(0.2571) q[4];
rx(0.9981) q[5];
rz(-0.0079) q[5];
rx(0.9961) q[6];
rz(0.1766) q[6];
rx(0.1722) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.15221638592799827, "params": [[-0.0375, -0.0412, -0.0455, -0.0434], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.08276654567746805, 0.08276654567746805], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0375) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0375) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0375) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.0375) q[3];
cx q[2], q[3];
rz(0) q[1];
rz(0) q[0];
rz(0) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
18312d59afcaa473ce6d4f831ea41fc6 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [127, 2047], "expectation_value": -1.327300335221502, "params": [[0.0747], [-0.059000000000000004]], "bitstrings": ["11110000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0008717892007815067, 0.0008946077862035548], "optimization_time": 2.422053813934326} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"]} | 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(-0.2988) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0747) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2241) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.2988)... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | {"node": 2} | {"circuits": [], "gradients": []} |
feaf30b79c91a036f216c182772bdb1d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [60, 252], "expectation_value": -11.269149988230225, "params": [[[-0.0028, 0.0089], [1.4787000000000001, 0.0007], [-0.0022, 0.0076], [-0.002, 0.0095], [-0.0019, 0.0], [1.6998, 0.0046], [-0.0018000000000000002, 0.0018000000000000002], [-0.0041, 0.008700000000000001]]], "bitstrings": ["11000011", "00000011"], ... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 2 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0028) q[0];
rz(0.0089) q[0];
rx(1.4787) q[1];
rz(0.0007) q[1];
rx(-0.0022) q[2];
rz(0.0076) q[2];
rx(-0.002) q[3];
rz(0.0095) q[3];
rx(-0.0019) q[4];
rz(0) q[4];
rx(1.6998) q[5];
rz(0.0046) q[5];
rx(-0.0018) q[6];
rz(0.0018) q[6];
rx(-0.0041) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 7} | {"circuits": [], "gradients": []} |
3d48be966ec63d77ff020a1223ab7d08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [1, 33], "expectation_value": -12.045247806135277, "params": [0.0029000000000000002, 1.2281, 0.0029000000000000002, 1.3229, 0.0026000000000000003, 1.2723, 0.8302, -0.0081, 0.0027, 1.2969000000000002, -0.010700000000000001, 1.2081, 0.0027, 1.3065, 0.003, 1.3237, 1.5706, -0.0032, 0.0029000000000000002, -0.0411... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(1.2281) q[0];
rx(0.0029) q[1];
rz(1.3229) q[1];
rx(0.0026) q[2];
rz(1.2723) q[2];
rx(0.8302) q[3];
rz(-0.0081) q[3];
rx(0.0027) q[4];
rz(1.2969) q[4];
rx(-0.0107) q[5];
rz(1.2081) q[5];
rx(0.0027) q[6];
rz(1.3065) q[6];
rx(0.003) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9654c545357abbe9e95dba48af827af6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -15.791544673141255, "params": [[0.0478, 0.009000000000000001], [-0.0787, -0.0489]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011450411501235817, 0.012510704427173999], "optimization_time": 2.838926076889038} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "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(0.3824) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3824) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3824) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(0.3824) q[5];
cx q[2], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.6319733601828863, "params": [[0.040400000000000005, 0.0649, 0.08080000000000001], [-0.0009000000000000001, -0.0388, -0.0664]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.02223221115706916, 0.023985768039598822], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(0.0404) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0404) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0404) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0404) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0404... | OPENQASM 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": []} |
100d4b419d8da1535c186f77ffcb30e8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [346, 345], "expectation_value": -53.19801140965906, "params": [[[0.512, 0.1134], [0.0678, 0.16010000000000002], [0.5971000000000001, 0.2596], [0.1723, 0.318], [0.18180000000000002, 0.5932000000000001], [0.2581, 0.3315], [0.1438, 0.6034], [0.5971000000000001, 0.5974], [0.4161, 0.1444]], [[0.6004, 0.159100000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(3)) + 5.5 * Z(0) + 7.5 * Z(1) + 21.0 * Z(2) + 6.5 * Z(3) + 14.5 * Z(4) + 3.5 * Z(6) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.512) q[0];
ry(0.0678) q[1];
ry(0.5971) q[2];
ry(0.1723) q[3];
ry(0.1818) q[4];
ry(0.2581) q[5];
ry(0.1438) q[6];
ry(0.5971) q[7];
ry(0.4161) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
87108f1cd6bfa60484f137381a2192df | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 2, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [94, 90], "expectation_value": -2.6489482210501367, "params": [[[0.0034000000000000002, 0.3572], [0.6024, -0.0023], [0.0038, 0.3266], [0.5959, -0.0037], [0.5983, 0.0038], [0.4939, 0.0562], [0.6028, -0.0041], [0.15810000000000002, -0.229]], [[0.0018000000000000002, 0.3049], [0.6037, -0.0023], [0.0011, 0.4179]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0034) q[0];
rz(0.3572) q[0];
rx(0.6024) q[1];
rz(-0.0023) q[1];
rx(0.0038) q[2];
rz(0.3266) q[2];
rx(0.5959) q[3];
rz(-0.0037) q[3];
rx(0.5983) q[4];
rz(0.0038) q[4];
rx(0.4939) q[5];
rz(0.0562) q[5];
rx(0.6028) q[6];
rz(-0.0041) q[6];
rx(0.1581) 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": []} |
5fc8ddd9b490928efab5d46a7fda09a4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -24.633788108195034, "params": [[0.0236, 0.009300000000000001, -0.0004, 0.0028], [-0.0757, -0.0799, -0.06280000000000001, -0.0509]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01812111605112541, 0.020444414016226556], "optimiza... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "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];
cx q[0], q[2];
rz(0.2124) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.2124) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.2124) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.2124) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [59227, 59355], "expectation_value": -17.101486318113, "params": [0.5275000000000001, 0.5282, 0.2967, 0.3005, 0.5389, 0.5386000000000001, 0.1908, 0.1822, 0.19590000000000002, 0.1951, 0.5324, 0.5319, 0.2891, 0.2901, 0.5456, 0.5422, 0.2775, 0.27080000000000004, 0.5343, 0.5294, 0.249, 0.24480000000000002, 0.535... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 13 | 16 | 3 | {"smallest_eigenvalues": [-20.500000000000053], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999986, "smallest_bitstrings": ["0001100000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5275) q[0];
ry(0.2967) q[1];
ry(0.5389) q[2];
ry(0.1908) q[3];
ry(0.1959) q[4];
ry(0.5324) q[5];
ry(0.2891) q[6];
ry(0.5456) q[7];
ry(0.2775) q[8];
ry(0.5343) q[9];
ry(0.249) q[10];
ry(0.5352) q[11];
ry(0.5456) q[12];
ry(0.1874) q[13];
ry(0.5254) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
9bb7c8f4c259342949cf44cd598c318f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [133, 389], "expectation_value": -4.944709937487379, "params": [[0.1895, 1.5814000000000001, -0.0098, -0.0024000000000000002, -0.0017000000000000001, 0.0035, 1.5845, 0.3673, 1.5809], [1.6111, 1.5853000000000002, 0.318, -0.0025, 0.008, -0.0021000000000000003, 1.5785, 0.0021000000000000003, 1.5793000000000001]... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1... | 10 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["011100011", "000110111", "000111110", "000111101", "001111010", "001110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1895) q[0];
ry(1.5814) q[1];
ry(-0.0098) q[2];
ry(-0.0024) q[3];
ry(-0.0017) q[4];
ry(0.0035) q[5];
ry(1.5845) q[6];
ry(0.3673) q[7];
ry(1.5809) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [19849, 20105], "expectation_value": -11.598652961531725, "params": [[0.082, 0.2179, -0.38170000000000004, -0.43610000000000004], [-0.5087, -0.1592, 0.126, 0.0761]], "bitstrings": ["1011001001110110", "1011000101110110"], "total_optimization_steps": 90, "probabilities": [0.0010018860883299731, 0.001001886088... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 1 | 16 | 4 | {"smallest_eigenvalues": [-14.499999999999776], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999976, "smallest_bitstrings": ["1011000101110110"]} | 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[4], q[11];
rz(-0.082) q[11];
cx q[4], q[11];
cx q[4], q[5];
rz(0.164) q[5];
cx q[4], q[5];
cx q[11], q[5];
rz(-0.082) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 65.12812900543213} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5706) q[3];
cry(1.5706) q[3], q[5];
cry(1.4449) q[3], q[1];
cry(1.4433) q[1], q[4];
cry(1.4424) q[4], q[6];
ry(1.4449) q[2];
cry(-1.0342) q[3], q[0];
cry(1.4106) q[6], q[7];
cry(-0.5042) q[7]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) 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[... |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 25.95556950569153} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
cry(-1.5708) q[5], q[0];
ry(1.148) q[5];
ry(-0.6079) q[0];
cry(1.5707) q[1], q[3];
ry(1.056) q[1];
ry(0.48) q[3];
cry(0.3875) q[3], q[1];
cry(0.3392) q[1], q[5];
cry(-0.1428) q[1], q[0];
ry(-1.0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7f4c1e2c9bad0a6e0605fae9471bc9cf | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [80, 89], "expectation_value": -6.999934073606576, "params": null, "bitstrings": ["0101111", "0100110"], "total_optimization_steps": 35, "probabilities": [1.3834091991385583e-05, 0.9999481838476324], "optimization_time": 34.39470028877258} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(4) + 0.0 * Z(0) + -2.0 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(1.4449) q[0];
ry(1.4449) q[6];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(0.1187) q[3], q[6];
cry(0.1188) q[6], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.4054499508990128, "params": [[0.0678, 0.0661], [-0.0661, -0.0623]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.022166337427573755, 0.022166337427573762], "optimization_time": 2.4232475757598877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0678) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0678) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0678) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0678) q[1];
cx q[3], q[1];
cx q[1], q[5];
rz(0.0678... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
c... | null | {"circuits": [], "gradients": []} |
3796afa0473620b48d81bea69c86f42d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [58, 60], "expectation_value": -5.999899063456074, "params": null, "bitstrings": ["1000101", "1000011"], "total_optimization_steps": 33, "probabilities": [1.6414457491051694e-05, 0.9999303761353533], "optimization_time": 32.28088140487671} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 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(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z(5) + -2.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[6];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[4];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [11, 35], "expectation_value": -0.2630220608834692, "params": [[-0.0471, -0.0684], [0.050800000000000005, 0.0716]], "bitstrings": ["110100", "011100"], "total_optimization_steps": 10, "probabilities": [0.01967856388778643, 0.01967856388778643], "optimization_time": 2.324580669403076} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0471) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0471) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0471) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(-0.0471) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} |
-5270866512951824941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 2], [0, 4, 5, 6], [0, 4, 7], [2, 3]]} | {"states": [441, 431], "expectation_value": -0.5975773171183827, "params": [[0.3403], [-0.3296]], "bitstrings": ["001000110", "001010000"], "total_optimization_steps": 40, "probabilities": [0.004981877943508974, 0.004992886199590452], "optimization_time": 2.174550771713257} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.0833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.8333333333333337, "smallest_bitstrings": ["100100001", "001000110", "001010000", "... | 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(0.1134) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1134) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1134) q[2];
cx q[0], q[2];
cx q[2], q[8];
rz(0.3403) q[8];
cx q[2], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | null | {"circuits": [], "gradients": []} |
163a4227bb600344653e9b8f9a095692 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [322, 323], "expectation_value": -4.5740734544023605, "params": [[[1.4839, 0.0022], [1.6371, 0.004], [-0.0053, 0.0066], [1.7059, 0.0013000000000000002], [1.5231000000000001, 0.0017000000000000001], [1.4884000000000002, 0.0092], [-0.0029000000000000002, 0.0061], [-0.0024000000000000002, 0.0032], [1.6406, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.5, "smallest_bitstrings": ["1110101100", "1110001101", "1101101100", "1010111001", "1010011101", "0110001111", "0010111110", "0110101110", "0010011111", "11... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4839) q[0];
rz(0.0022) q[0];
rx(1.6371) q[1];
rz(0.004) q[1];
rx(-0.0053) q[2];
rz(0.0066) q[2];
rx(1.7059) q[3];
rz(0.0013) q[3];
rx(1.5231) q[4];
rz(0.0017) q[4];
rx(1.4884) q[5];
rz(0.0092) q[5];
rx(-0.0029) q[6];
rz(0.0061) q[6];
rx(-0.0024) 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": []} |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -9.201997931814816, "params": [[[-0.0037, 0.389], [0.0017000000000000001, 0.3851], [0.0005, 0.4464], [0.0025, 0.4595], [0.0036000000000000003, 0.4456], [0.46690000000000004, -0.0054], [0.5979, -0.0026000000000000003]], [[-0.0012000000000000001, 0.3773], [0.0048000000000000004, 0.... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0037) q[0];
rz(0.389) q[0];
rx(0.0017) q[1];
rz(0.3851) q[1];
rx(0.0005) q[2];
rz(0.4464) q[2];
rx(0.0025) q[3];
rz(0.4595) q[3];
rx(0.0036) q[4];
rz(0.4456) q[4];
rx(0.4669) q[5];
rz(-0.0054) q[5];
rx(0.5979) q[6];
rz(-0.0026) q[6];
rx(-0.0012) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [7, 1], "expectation_value": -0.0017842301158576684, "params": [[-0.0162], [0.0063]], "bitstrings": ["1000", "1110"], "total_optimization_steps": 10, "probabilities": [0.06258922635438546, 0.0625892263543855], "optimization_time": 1.7971811294555664} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0081) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0162) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0162) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0081) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0324) q[3];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x1) ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
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