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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5dad688a93671469362a3d3d00961b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.35116073606872633, "params": [[-0.06810000000000001, -0.066, -0.06860000000000001], [0.0757, 0.0753, 0.07640000000000001]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.04524866654955206, 0.04524866654955209], "optimization_time": 3.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0681) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0681) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0341) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.0341) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0.0341) 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... | null | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.9959815914125336, "params": null, "bitstrings": ["11111", "11011"], "total_optimization_steps": 10, "probabilities": [0.003927302792350724, 0.9960139005851092], "optimization_time": 5.785515785217285} | 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(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"]} | 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(-1.5486) q[0];
ry(-1.5486) q[4];
ry(-1.4449) q[1];
ry(-1.4449) q[3];
ry(1.4449) q[2];
cry(-0.1187) q[2], q[3];
cry(-0.1187) q[2], q[1];
cry(-0.021) q[2], q[4];
cry(-0.021) q[2], q[0];
c[0] = measure q[0];
c[1] = measu... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
01879f4c1200654f9c183f51d4d1496e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [0, 1792], "expectation_value": -72.88078952474305, "params": [-0.0019, -0.5775, -0.9887, 0.0015, -1.4915, 0.0, -0.0025, 0.017400000000000002, -0.0025, 0.0066, -0.0025, 0.0099, -0.0025, 0.0309, -0.0024000000000000002, 0.0049, -0.0025, 0.006900000000000001, -0.0025, 0.0054, -0.0025, 0.0035, 3.1396, -2.1466000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -4.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -4.0 * (Z(9) @ Z(5)) + -4.5 * (Z(9) @ Z(3)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(7)) + 2.0 * (Z(10) @ Z(5)) + -4... | 4 | 11 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0019) q[0];
rz(-0.5775) q[0];
rx(-0.9887) q[1];
rz(0.0015) q[1];
rx(-1.4915) q[2];
rz(0) q[2];
rx(-0.0025) q[3];
rz(0.0174) q[3];
rx(-0.0025) q[4];
rz(0.0066) q[4];
rx(-0.0025) q[5];
rz(0.0099) q[5];
rx(-0.0025) q[6];
rz(0.0309) q[6];
rx(-0.0024) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [121, 61], "expectation_value": -13.284046088691824, "params": [[-0.035300000000000005, -0.0105, -0.019200000000000002, -0.0287], [0.057, 0.022000000000000002, 0.0274, 0.0395]], "bitstrings": ["0000110", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01996163134543896, 0.024277549922647655],... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"]} | 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(-0.2118) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2118) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2118) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2118) q[3];
cx q[0], q[3];
cx q[0], 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": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
4d1240ef072f6b149c3e83e07e8a9609 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -4.939190126299254, "params": [[0.07150000000000001, 0.054, 0.0522], [-0.0828, -0.051800000000000006, -0.0495]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.015535856362085985, 0.01666732713237451], "optimization_time": 4.569441556... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"]} | 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(-0.143) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1788) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0358) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1073) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 26.0309739112854} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[1];
cry(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
cry(-1.4868) q[6], q[0];
cry(1.121) q[4], q[6];
cry(-0.505) q[4], q[0];
ry(-1.2139) q[5];
cry(0.2304) q[2], q[6];
cry(-0.183) q[1], q[0];
c... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[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", "... |
7e286c90f17ff7394c4075cb20f3e88f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -14.965597769697663, "params": [[-0.040100000000000004, -0.0195], [0.0693, 0.055400000000000005]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0064716041210281135, 0.007814498352186769], "optimization_time": 3.549750804901123} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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[3], q[0];
rz(-0.3609) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.3609) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.3609) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.3609) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d972279ded7f316374e6dacb276633a3 | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [127, 63], "expectation_value": -8.246022690664965, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 92, "probabilities": [0.20212563034862113, 0.47108249525079704], "optimization_time": 145.9586317539215} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "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];
cry(1.5706) q[6], q[2];
ry(1.5706) q[3];
cry(-1.5681) q[7], q[0];
ry(1.1301) q[7];
cry(1.566) q[2], q[5];
cry(1.5707) q[5], q[4];
cry(-0.4046) q[3], q[0];
cry(0.2748) q[3], q[7];
ry(-0.2427) 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];\ncry(1.5706) q[6], 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] = mea... |
fd959b015d7c5b50b2cd05831ed95a60 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [87, 61], "expectation_value": -0.19183537028072492, "params": [[0.0694, 0.0816], [-0.0575, -0.08]], "bitstrings": ["10101000", "11000010"], "total_optimization_steps": 10, "probabilities": [0.005723771276665393, 0.0057237712766653945], "optimization_time": 6.380656957626343} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0347) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0347) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0347) q[2];
cx q[3], q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.0347) q[1];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
570afb120ac224dc3123b6884272022a | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 24.22397494316101} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(-0.4578) q[6];
cry(0.497) q[4], q[0];
cry(-0.3761) q[4], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
461a504b9826e7d1bfc1c6f1845a3d83 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -0.79376826777694, "params": [[0.0775, 0.0775], [-0.08170000000000001, -0.0826]], "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 10, "probabilities": [0.012021543888002792, 0.012021543888002792], "optimization_time": 3.4216666221618652} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"]} | 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(0.0775) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0775) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0775) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0775) q[6];
cx q[0], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5]... | null | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [182, 190], "expectation_value": -1.7589970073048433, "params": [0.1497, 0.5602, 0.8003, -0.0482, 0.1174, -0.3256, 0.797, -0.061900000000000004, 0.7963, 0.0175, 0.6278, 0.0105, 0.8053, -0.0436, 0.8035, -0.14150000000000001, 0.4601, -0.1391, 0.1348, 0.5689000000000001, 0.8053, 0.0285, 0.11620000000000001, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1497) q[0];
rz(0.5602) q[0];
rx(0.8003) q[1];
rz(-0.0482) q[1];
rx(0.1174) q[2];
rz(-0.3256) q[2];
rx(0.797) q[3];
rz(-0.0619) q[3];
rx(0.7963) q[4];
rz(0.0175) q[4];
rx(0.6278) q[5];
rz(0.0105) q[5];
rx(0.8053) q[6];
rz(-0.0436) q[6];
rx(0.8035) 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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -1.0974577677449557, "params": [[0.0565], [-0.0511]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.018018164092794872, 0.018295409059341076], "optimization_time": 2.003917694091797} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1978) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1978) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1978) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.226) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1978)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
24ec85ceb3f94374e977a871ddcf35bc | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 37], "expectation_value": -3.4965156417764884, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 22, "probabilities": [0.06700895329534473, 0.9297461640990027], "optimization_time": 16.59984588623047} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[2];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.497) q[0], q[3];
cry(-0.3761) q[0], q[4];
cry(0.2474) q[5], q[3];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.949138542934727, "params": [[0.0707, 0.06470000000000001, 0.040600000000000004], [-0.0741, -0.0649, -0.044000000000000004]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013991814966072755, 0.014637787113130376], "optimization_tim... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0353) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0707) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0707) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.1061) q[1];
cx q[3], q[1];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -5.733049319544223, "params": [[0.043300000000000005], [-0.0413]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.005888786336852479, 0.006077884991083448], "optimization_time": 2.6192798614501953} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3464) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3464) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.3464) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.3464) q[4];
cx q[1], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f83a24061b1538365ea5863841ae1bf9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -9.116239364968525, "params": [[0.050800000000000005], [-0.06760000000000001]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.004315139579360417, 0.004544613500568406], "optimization_time": 4.247614860534668} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"]} | 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(0.4572) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4572) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.4572) q[1];
cx q[0], q[1];
cx q[0], q[4];
rz(0.4572) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
7eb25a4a5508592aaee9c259cef8964d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 223], "expectation_value": -0.7946313763264728, "params": [[-0.06620000000000001], [0.0751]], "bitstrings": ["00000000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.0056050925597688536, 0.005717280090622767], "optimization_time": 2.632676839828491} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -0.5 * Z(2) | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00100000"]} | 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(0.1324) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(0.1986) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.2648) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.2648) q[5];
cx q[3], q[5];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3]... | {"node": 2} | {"circuits": [], "gradients": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [128, 9], "expectation_value": -5.372874733577534, "params": [[0.136, 0.0839, 0.0082, 0.0114], [-0.1484, -0.1472, -0.15230000000000002, -0.1371]], "bitstrings": ["01111111", "11110110"], "total_optimization_steps": 20, "probabilities": [0.03608635816356883, 0.04001968877024378], "optimization_time": 6.615555... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["11110110", "11110100", "11110000", "10010000", "11100000", "11100100", "11100110", "10000000", "10100000", "11000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.204) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(0.272) q[7];
cx q[0], q[7];
cx q[2], q[4];
rz(-0.204) q[4];
cx q[2], q[4];
cx q[7], q[4];
rz(-0.272) q[4];
cx q[7], q[4];
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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
36bc612e0322886e175cda5a18a8b6d9 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [144, 176], "expectation_value": -2.890020244631932, "params": [[[0.6067, 0.0028], [0.1636, 0.23290000000000002], [0.6032000000000001, 0.0013000000000000002], [0.6055, 0.0032], [0.0021000000000000003, 0.45980000000000004], [0.0048000000000000004, 0.4238], [0.1686, 0.23170000000000002], [0.0009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0625, "smallest_bitstrings": ["10001111", "01001111", "01101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6067) q[0];
rz(0.0028) q[0];
rx(0.1636) q[1];
rz(0.2329) q[1];
rx(0.6032) q[2];
rz(0.0013) q[2];
rx(0.6055) q[3];
rz(0.0032) q[3];
rx(0.0021) q[4];
rz(0.4598) q[4];
rx(0.0048) q[5];
rz(0.4238) q[5];
rx(0.1686) q[6];
rz(0.2317) q[6];
rx(0.0009) 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": []} |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [44, 60], "expectation_value": -1.5707264156630263, "params": [0.0012000000000000001, 0.46190000000000003, 0.6008, -0.0023, 0.5981000000000001, -0.0013000000000000002, 0.5978, -0.0007, 0.6069, -0.0734, 0.3174, -0.1295, 0.16110000000000002, 0.23470000000000002, 0.0029000000000000002, 0.44630000000000003, 0.60... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0012) q[0];
rz(0.4619) q[0];
rx(0.6008) q[1];
rz(-0.0023) q[1];
rx(0.5981) q[2];
rz(-0.0013) q[2];
rx(0.5978) q[3];
rz(-0.0007) q[3];
rx(0.6069) q[4];
rz(-0.0734) q[4];
rx(0.3174) q[5];
rz(-0.1295) q[5];
rx(0.1611) q[6];
rz(0.2347) q[6];
crz(-0.2264) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
319cf79193dd12504081b946bd90da21 | 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": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [2047, 1023], "expectation_value": -16.5177654106231, "params": [[[-1.6088, 0.0034000000000000002], [0.0024000000000000002, 0.0058000000000000005], [0.0025, 0.0025], [-0.0026000000000000003, 0.0099], [0.0023, 0.0051], [0.0025, 0.0035], [0.0024000000000000002, 0.0073], [-0.0027, 0.005], [0.0028, 0.00390000000... | -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-1.6088) q[0];
rz(0.0034) q[0];
rx(0.0024) q[1];
rz(0.0058) q[1];
rx(0.0025) q[2];
rz(0.0025) q[2];
rx(-0.0026) q[3];
rz(0.0099) q[3];
rx(0.0023) q[4];
rz(0.0051) q[4];
rx(0.0025) q[5];
rz(0.0035) q[5];
rx(0.0024) q[6];
rz(0.0073) q[6];
rx(-0.0027) 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] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} |
8bd549bac35fc0555b3d70370196edc2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [224, 226], "expectation_value": -4.171831836869386, "params": [1.4081000000000001, 0.0007, 1.3999000000000001, 0.0038, 1.4014, -0.40090000000000003, -0.0106, 0.3982, 0.0427, -0.0027, 1.3982, -0.0012000000000000001, 1.4133, -0.0028, 0.7711, 0.00030000000000000003, 1.3816000000000002, 1.3787, -0.2256000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(7) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4081) q[0];
rz(0.0007) q[0];
rx(1.3999) q[1];
rz(0.0038) q[1];
rx(1.4014) q[2];
rz(-0.4009) q[2];
rx(-0.0106) q[3];
rz(0.3982) q[3];
rx(0.0427) q[4];
rz(-0.0027) q[4];
rx(1.3982) q[5];
rz(-0.0012) q[5];
rx(1.4133) q[6];
rz(-0.0028) q[6];
rx(0.7711) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6836854440805596965 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 0], [8, 4], [0, 3, 6, 7], [0, 1, 4], [0, 8, 5], [2, 3, 4, 7], [1, 3, 5, 7], [0, 2, 4], [0, 9, 3, 5], [4, 6]]} | {"states": [629, 628], "expectation_value": -2.6667225621479616, "params": [1.3938000000000001, -0.0034000000000000002, 0.8583000000000001, 0.0017000000000000001, 1.4002000000000001, -0.00030000000000000003, 1.3932, 0.01, 1.4012, 0.0022, 1.3967, 0.0038, 1.3901000000000001, 0.0012000000000000001, 1.3542, 0.0033, 1.385, ... | 0.08333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3938) q[0];
rz(-0.0034) q[0];
rx(1.4002) q[1];
rz(-0.0003) q[1];
rx(1.4012) q[2];
rz(0.0022) q[2];
rx(1.3901) q[3];
rz(0.0012) q[3];
rx(1.385) q[4];
rz(0.0019) q[4];
rx(1.2374) q[5];
rz(-0.0029) q[5];
rx(0.7797) q[6];
rz(-0.0036) q[6];
rx(1.392) 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": []} |
d55d504e597705d8581d37ec0d2e41ca | 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": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.432798842612188, "params": [[0.0325, 0.0405, 0.051300000000000005, 0.069], [-0.0224, -0.0342, -0.0352, -0.0454]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011368347507614174, 0.01230132939791539], "optimization_time": 5.131809... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "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];
cx q[1], q[0];
rz(-0.0163) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0488) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0325) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(-0.0325) q[5];
cx q[1], q[5];
cx q[5], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 156.75846529006958} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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(-1.1871) q[6], q[3];
ry(1.1774) q[5];
cry(-0.5926) q[7], q[1];
ry(1.0634) q[4];
cry(-0.549) q[0], q[3];
cry(-0.8071) q[1], q[7];
ry(0.6521) q[6];
cry(0.8749) q[6], q[0];
ry(-0.3249) q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.1871) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
cc89497833504b7849e07f8e2862e02c | 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": [335, 327], "expectation_value": -78.91511988861478, "params": [0.9979, 0.1736, 0.33390000000000003, 0.3924, 0.9991000000000001, 0.0017000000000000001, 0.0029000000000000002, -0.6333000000000001, -0.0064, -0.4973, 0.5159, 0.265, 0.9998, -0.0009000000000000001, 0.9898, 0.0178, 0.9908, -0.0001, 0.9902000000000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 13.5 * Z(2) + 4.0 * Z(1) + 27.5 * Z(0) + -2.5 * Z(4) + 6... | 18 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9979) q[0];
rz(0.1736) q[0];
rx(0.3339) q[1];
rz(0.3924) q[1];
rx(0.9991) q[2];
rz(0.0017) q[2];
rx(0.0029) q[3];
rz(-0.6333) q[3];
rx(-0.0064) q[4];
rz(-0.4973) q[4];
rx(0.5159) q[5];
rz(0.265) q[5];
rx(0.9998) q[6];
rz(-0.0009) q[6];
rx(0.9898) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
e9cd4f16fca9474ca53962a2c5c7dd8e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [412, 508], "expectation_value": -0.7164177777915877, "params": [[-0.08850000000000001], [0.0818]], "bitstrings": ["001100011", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003201748371238032, 0.003378230615284589], "optimization_time": 1.2270619869232178} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -1.0 * Z(8) + -1.0 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.177) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.177) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(0.2655) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.2655) q[6];
cx q[5], q[6];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x1) ... | {"node": 8} | {"circuits": [], "gradients": []} |
1182903072159831991 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9], [1, 12], [9, 12], [2, 3], [5, 7], [9, 7], [0, 1], [2, 11], [1, 7], [1, 11], [1, 3], [12, 5], [8, 3], [3, 6], [4, 12], [0, 3], [8, 7], [0, 5], [8, 10], [10, 5], [0, 7], [8, 2], [10, 2], [12, 6], [0, 11], [9, 3], [10, 3], [11, 12], [3, 12], [8, ... | {"states": [4056, 3544], "expectation_value": -0.9193371840806631, "params": [0.6163000000000001, 0.6145, 0.9649000000000001, 0.9629000000000001, 0.9554, 0.9572, 0.6959000000000001, 0.7031000000000001, 0.9576, 0.9640000000000001, 0.9903000000000001, 0.9845, 0.9485, 0.9545, 0.6068, 0.6056, 0.9496, 0.9491, 0.9576, 0.9562... | 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(1)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(12)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110111011000", "1001000100111", "0110111011000", "0001000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6163) q[0];
ry(0.9649) q[1];
ry(0.9554) q[2];
ry(0.6959) q[3];
ry(0.9576) q[4];
ry(0.9903) q[5];
ry(0.9485) q[6];
ry(0.6068) q[7];
ry(0.9496) q[8];
ry(0.9576) q[9];
ry(0.5889) q[10];
ry(0.6638) q[11];
ry(0.6043) q[12];
crz(-0.1972) q[12], q[0];
crz(0.19... | OPENQASM 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": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 13.94535517692566} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "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];
ry(-1.4449) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[5], q[0];
ry(0.7022) q[5];
cry(-0.1259) q[3], q[2];
ry(-0.4578) q[0];
cry(0.4969) q[3], q[5];
cry(-0.3761) q[3], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-7621616970208835945 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 7], [1, 9], [9, 4, 5], [0, 3, 7], [2, 6], [1, 2, 7], [1, 2, 4], [0, 5, 7], [0, 6], [1, 6, 7], [4, 5, 7], [8, 6, 7], [8, 4]]} | {"states": [237, 109], "expectation_value": -3.65394369454269, "params": [0.0025, 0.0025, -0.0145, 0.0193, 0.7008, 0.7559, 2.3338, 0.8678, 2.0593, 1.028, 2.2113, 0.9884000000000001, 1.4061000000000001, 1.7485000000000002, 1.5729, 1.5730000000000002, 1.4458, 1.7002000000000002, 1.4552, 1.6894, -0.0022, 1.563200000000000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(7))... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["1110010010", "1010000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0025) q[0];
ry(-0.0145) q[1];
ry(0.7008) q[2];
ry(2.3338) q[3];
ry(2.0593) q[4];
ry(2.2113) q[5];
ry(1.4061) q[6];
ry(1.5729) q[7];
ry(1.4458) q[8];
ry(1.4552) q[9];
crx(-0.0022) q[9], q[0];
crx(0.1105) q[8], q[9];
crx(0.0046) q[7], q[8];
crx(0.5132) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [96, 97], "expectation_value": -4.019895872518813, "params": [[[0.8105, 0.001], [0.8041, 0.0005], [0.0016, 0.39440000000000003], [0.0021000000000000003, -0.4179], [0.1568, -0.3204], [0.7475, -0.024200000000000003], [0.7917000000000001, -0.0035]], [[0.8051, 0.0074], [0.8058000000000001, 0.002], [0.0038, 0.005... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8105) q[0];
rz(0.001) q[0];
rx(0.8041) q[1];
rz(0.0005) q[1];
rx(0.0016) q[2];
rz(0.3944) q[2];
rx(0.0021) q[3];
rz(-0.4179) q[3];
rx(0.1568) q[4];
rz(-0.3204) q[4];
rx(0.7475) q[5];
rz(-0.0242) q[5];
rx(0.7917) q[6];
rz(-0.0035) q[6];
rx(0.8051) 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[... | null | {"circuits": [], "gradients": []} |
-8752934659124691113 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 4, 5, 7, 9], [5, 6, 7, 8, 10, 11], [0, 4, 7, 9, 10], [2, 6, 7, 8, 9, 11], [0, 2, 6, 9, 10, 11], [8, 0, 4, 7], [0, 2, 8, 9, 11], [1, 10, 2, 4], [1, 2, 3, 5, 7, 10], [0, 3, 4, 5, 8, 9], [0, 2, 4, 8, 9], [0, 11, 4], [2, 3, 4, 5, 11], [3, 5, 7, 9, 11],... | {"states": [1781, 3828], "expectation_value": -4.639757066284738, "params": [[1.6009, -0.0023, 2.7764, 0.0022, 1.4857, 0.0023, -0.0021000000000000003, 2.7816, 0.0018000000000000002, 1.5582, -0.0025, 1.4588], [0.23190000000000002, 3.1443000000000003, 0.3688, 0.0022, 1.651, 3.1395, 3.1436, 0.3639, -0.0129, 1.577300000000... | 0.11666666666666667 * (Z(2) @ Z(3)) + 0.15 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.2 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(4)) + 0.15 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333333333334 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(5)) + 0... | 10 | 12 | 1 | {"smallest_eigenvalues": [-4.783333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.533333333333333, "smallest_bitstrings": ["000100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.6009) q[0];
ry(-0.0023) q[1];
ry(2.7764) q[2];
ry(0.0022) q[3];
ry(1.4857) q[4];
ry(0.0023) q[5];
ry(-0.0021) q[6];
ry(2.7816) q[7];
ry(0.0018) q[8];
ry(1.5582) q[9];
ry(-0.0025) q[10];
ry(1.4588) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
addce8ebbb7a38bf4f3d8f2e9c4914fc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 2044], "expectation_value": -23.576742767383415, "params": [[[0.0024000000000000002, 3.003], [0.0019, 0.0021000000000000003], [0.002, 0.0019], [0.0018000000000000002, 0.0019], [-0.0023, 0.0018000000000000002], [0.0025, 0.9798], [0.002, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0025, 0... | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2... | 15 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0024) q[0];
ry(0.0019) q[1];
ry(0.002) q[2];
ry(0.0018) q[3];
ry(-0.0023) q[4];
ry(0.0025) q[5];
ry(0.002) q[6];
ry(0.0021) q[7];
ry(0.0025) q[8];
ry(1.4247) q[9];
ry(0.0025) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
ry(x0) q[0];
ry(... | {"node": 9} | {"circuits": [], "gradients": []} |
bef0417311034f9a136e6c27306ac85d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [286, 31], "expectation_value": -79.29116991982407, "params": [[[1.1238000000000001, 0.0036000000000000003], [0.1071, -0.006], [-0.0159, -0.0025], [0.7882, 0.0188], [-0.1228, 0.057800000000000004], [0.6634, -0.15860000000000002], [0.14830000000000002, -0.0427], [0.1638, 1.3357], [-0.08940000000000001, 0.33]]... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 14.5 * Z(4) + 12.0 * Z(0) + 8.0 * Z(5) + 4.5 * Z(3) + 20.0 * Z(7) + 17.0 * Z(6) + 14.0 * Z(8) + -12.... | 15 | 9 | 4 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1238) q[0];
ry(0.1071) q[1];
ry(-0.0159) q[2];
ry(0.7882) q[3];
ry(-0.1228) q[4];
ry(0.6634) q[5];
ry(0.1483) q[6];
ry(0.1638) q[7];
ry(-0.0894) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -4.170416275888219, "params": [[-0.13570000000000002, -0.0868, -0.09920000000000001], [0.16870000000000002, 0.136, 0.1589]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.023254447042791473, 0.03481804889899907], "optimization_time"... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.1357) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.1357) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.1086) q[1];
cx q[0], q[1];
cx q[4], q[5];
rz(-0.1357) q[5];
cx q[4], 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
184be31d5cef7a0df96adb60f009b8f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [728, 730], "expectation_value": -0.8358685363373943, "params": [0.8037000000000001, 0.802, 0.6673, 0.6746, 0.8038000000000001, 0.8022, 0.8062, 0.809, 0.5515, 0.5584, 0.8038000000000001, 0.8041, 0.804, 0.8003, 0.6568, 0.6598, 0.8024, 0.8013, 0.0017000000000000001, 0.0025, 0.5536, 0.0091, 0.002400000000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.625, "smallest_bitstrings": ["0100011001", "0010100101", "0001100101", "0100101001", "0110100001", "0100100011", "1000010101", "1000100101", "0100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8037) q[0];
ry(0.6673) q[1];
ry(0.8038) q[2];
ry(0.8062) q[3];
ry(0.5515) q[4];
ry(0.8038) q[5];
ry(0.804) q[6];
ry(0.6568) q[7];
ry(0.8024) q[8];
ry(0.0017) q[9];
crz(0.5536) q[9], q[0];
crz(0.0037) q[8], q[9];
crz(-0.0109) q[7], q[8];
crz(-0.0306) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
581d87e3cabe14048d51a5c509a1e910 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [233, 249], "expectation_value": -4.047955731367114, "params": [[[0.0026000000000000003, 0.00030000000000000003], [-0.0031000000000000003, 0.0034000000000000002], [3.1396, 0.008], [3.1393, 0.005200000000000001], [3.1387, 0.0014], [1.6669, 0.0012000000000000001], [3.1394, 0.007], [0.0026000000000000003, 0.005... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010010100", "1100000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(0.0003) q[0];
rx(-0.0031) q[1];
rz(0.0034) q[1];
rx(3.1396) q[2];
rz(0.008) q[2];
rx(3.1393) q[3];
rz(0.0052) q[3];
rx(3.1387) q[4];
rz(0.0014) q[4];
rx(1.6669) q[5];
rz(0.0012) q[5];
rx(3.1394) q[6];
rz(0.007) q[6];
rx(0.0026) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
4e8fbb5ffb8307d7998c34a9ebb74e7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [368, 370], "expectation_value": -7.992139194143718, "params": [[[-0.003, 0.00030000000000000003, 0.0012000000000000001, 0.0038], [1.0466, -0.0027, 1.0518, 0.0022], [0.0022, 0.009300000000000001, 0.0082, 0.0025], [1.0441, -0.0027, 1.0532000000000001, 0.0037], [1.6066, 0.0015, 0.0071, 0.004200000000000001], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.003) q[0];
rz(0.0003) q[0];
ry(1.0466) q[1];
rz(-0.0027) q[1];
ry(0.0022) q[2];
rz(0.0093) q[2];
ry(1.0441) q[3];
rz(-0.0027) q[3];
ry(1.6066) q[4];
rz(0.0015) q[4];
ry(0.382) q[5];
rz(-0.0128) q[5];
ry(0.003) q[6];
rz(0.0069) q[6];
ry(-0.0019) 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": []} |
7c460bc18626c899079572daae6e6ba8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [340, 372], "expectation_value": -6.138710696892868, "params": [[[1.0514000000000001, 0.0019], [0.0032, 0.7572], [1.0522, 0.0019], [0.616, 0.0007], [1.0541, 0.0019], [-0.0017000000000000001, 0.5959], [1.054, 0.002], [-0.0041, -0.6188], [0.0021000000000000003, -0.7431]], [[1.0487, 0.0019], [0.0031000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(8) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0514) q[0];
rz(0.0019) q[0];
rx(0.0032) q[1];
rz(0.7572) q[1];
rx(1.0522) q[2];
rz(0.0019) q[2];
rx(0.616) q[3];
rz(0.0007) q[3];
rx(1.0541) q[4];
rz(0.0019) q[4];
rx(-0.0017) q[5];
rz(0.5959) q[5];
rx(1.054) q[6];
rz(0.002) 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
90688ea9c6b60209b27f6df8a67f5344 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [0, 2047], "expectation_value": -15.283362904839809, "params": [[[-0.0025, -0.30660000000000004], [0.0045000000000000005, 0.0022], [0.0048000000000000004, 0.0019], [0.0066, 0.002], [0.005200000000000001, 0.002], [0.0031000000000000003, 0.0021000000000000003], [0.0055000000000000005, 0.002], [-0.0003000000000... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(9) @ Z(5)) + -1.25 * (Z(9) @ Z(0)) + 1.75 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(3)) + -0.5 * (Z(11) @ Z(1)) + -1.5 * (Z(10) @ Z(9)) + -1.25 * (Z(10) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (... | 15 | 12 | 2 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["100000000000", "100000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0025) q[0];
ry(0.0045) q[1];
ry(0.0048) q[2];
ry(0.0066) q[3];
ry(0.0052) q[4];
ry(0.0031) q[5];
ry(0.0055) q[6];
ry(-0.0003) q[7];
ry(0.0041) q[8];
ry(0.0024) q[9];
ry(0.0044) q[10];
ry(1.5901) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276598, 0.5537970536213181], "optimization_time": 473.5482933521271} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 2 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] 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];
ry(0.4397) q[7];
ry(1.0965) q[6];
ry(1.2796) q[3];
cry(1.1291) q[3], q[7];
cry(1.5708) q[4], q[11];
ry(0.9929) q[4];
cry(0.4739) q[7], q[6];
cry(0.4718... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
882dd39c5db48ed25643d787db9c5a72 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [207, 205], "expectation_value": -141.34489370633761, "params": [-0.0021000000000000003, 0.0395, -0.0024000000000000002, -1.1142, -0.0026000000000000003, -1.7921, 1.5464, 0.0029000000000000002, 2.9911000000000003, 0.003, 3.1462000000000003, 0.0105, -0.0027, 0.33630000000000004, 0.0032, -0.8853000000000001, 2... | 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(5) @ Z(3)) + 8.5 * (Z(7) @ Z(4)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(9) @ Z(7)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(2) @ Z(8)) + 8.5 * (Z(0) @ Z(11)) + 26.5 * Z(4) + 4.5 * Z(3) + 16.0 * Z(5) + 5.0 * Z(7) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-154.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -142.0, "smallest_bitstrings": ["111100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0021) q[0];
rz(0.0395) q[0];
rx(-0.0024) q[1];
rz(-1.1142) q[1];
rx(-0.0026) q[2];
rz(-1.7921) q[2];
rx(1.5464) q[3];
rz(0.0029) q[3];
rx(2.9911) q[4];
rz(0.003) q[4];
rx(3.1462) q[5];
rz(0.0105) q[5];
rx(-0.0027) q[6];
rz(0.3363) q[6];
rx(0.0032) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 46], "expectation_value": -0.5098890988888081, "params": [[-0.07060000000000001, -0.0729, -0.0747], [0.0761, 0.0758, 0.0752]], "bitstrings": ["011100", "010001"], "total_optimization_steps": 10, "probabilities": [0.0254126203526419, 0.026772722735765215], "optimization_time": 2.6670567989349365} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | 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(-0.0706) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0706) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(-0.0706) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(-0.0706) q[2];
cx q[5], q[2];
cx q[5], 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;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -25.006757304339256, "params": [[[0.0505, 0.2813], [0.1245, -0.26180000000000003], [0.40840000000000004, 0.0347], [0.0448, 0.2808], [0.0385, 0.28040000000000004], [0.6037, -0.0034000000000000002], [0.5945, 0.0023]], [[0.0478, -0.281], [0.126, -0.26180000000000003], [0.40690000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0505) q[0];
rz(0.2813) q[0];
rx(0.1245) q[1];
rz(-0.2618) q[1];
rx(0.4084) q[2];
rz(0.0347) q[2];
rx(0.0448) q[3];
rz(0.2808) q[3];
rx(0.0385) q[4];
rz(0.2804) q[4];
rx(0.6037) q[5];
rz(-0.0034) q[5];
rx(0.5945) q[6];
rz(0.0023) q[6];
rx(0.0478) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | 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": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 200.42834782600403} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(18.1327) q[1];
ry(5.7993) q[6];
ry(12.9792) q[3];
ry(-12.9356) q[4];
ry(62.3287) q[0];
cry(62.8089) q[7], q[3];
cry(62.4059) q[2], q[3];
ry(10.4457) q[2];
cry(12.7337) q[5], q[3];
cry(24.2262) ... | 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(18.1327) 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... |
aeb9345fdefd7ae77e17ff9bcecf0be8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [181, 183], "expectation_value": -4.716120892598623, "params": [[-0.12250000000000001], [0.12200000000000001]], "bitstrings": ["101001010", "101001000"], "total_optimization_steps": 20, "probabilities": [0.006237600333668948, 0.0072207427931280125], "optimization_time": 2.4626004695892334} | -1.75 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(8)) + -1.0 * (Z(3) @ Z(4)) + -2.25 * (Z(3) @ Z(5)) + -1.75 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.4288) q[0];
cx q[2], q[0];
cx q[4], q[1];
rz(0.6125) q[1];
cx q[4], q[1];
cx q[2], q[5];
rz(0.6125) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.3675) q[5];
cx q[1], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
df682e2d7fb98a289acacc6990a57f8a | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [203, 201], "expectation_value": -4.207902057084681, "params": [0.4066, -0.0007, 0.4096, 0.0009000000000000001, 0.4005, -0.009300000000000001, 0.4055, -0.0031000000000000003, 0.0541, -0.0663, 0.1587, 0.0007, 0.263, 0.0044, 0.2411, -0.0022, 0.4021, -0.0026000000000000003, 0.40590000000000004, -0.0015, 0.3143,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(3) + -1.0 * Z(... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["00101011", "01110100", "01101001", "00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4066) q[0];
rz(-0.0007) q[0];
rx(0.4005) q[1];
rz(-0.0093) q[1];
rx(0.0541) q[2];
rz(-0.0663) q[2];
rx(0.263) q[3];
rz(0.0044) q[3];
rx(0.4021) q[4];
rz(-0.0026) q[4];
rx(0.3143) q[5];
rz(0.0041) q[5];
rx(0.3695) q[6];
rz(0.0561) q[6];
rx(0.4025) 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": []} |
-4396407114571332043 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 6], [4, 5], [0, 1, 2], [2, 5], [2, 3, 4], [0, 1, 3], [4, 6], [1, 4], [0, 6, 7], [0, 5], [3, 6], [2, 6], [2, 7], [0, 3, 4]]} | {"states": [170, 184], "expectation_value": -0.21531488583092384, "params": [[-0.0884], [0.08170000000000001]], "bitstrings": ["01010101", "01000111"], "total_optimization_steps": 10, "probabilities": [0.004768130054145144, 0.004818900314639883], "optimization_time": 0.8375616073608398} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(4) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333335, "smallest_bitstrings": ["01000111"]} | 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(-0.0884) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(-0.0295) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0589) q[7];
cx q[0], q[7];
cx q[3], q[1];
rz(-0.0295) q[1];
cx q[3], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7]... | null | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 208.56891012191772} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-7.2777) q[3];
ry(30.9012) q[6];
ry(0.864) q[5];
ry(14.6983) q[2];
cry(10.2049) q[2], q[6];
cry(-33.552) q[5], q[6];
ry(0.171) q[7];
ry(-0.197) q[0];
cry(-0.2929) q[2], q[0];
cry(0.2135... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) 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] = ... |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 60], "expectation_value": -7.768527152817817, "params": [0.47340000000000004, 0.32380000000000003, 0.227, 0.20600000000000002, 0.48350000000000004, 0.4494, 0.3386, 0.6681, 0.5317000000000001, 0.9289000000000001, 0.3416, 1.1269, 0.4736, 0.8309000000000001, 0.4237, 1.1395, 0.4516, 0.463, 0.3959000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 6 | 6 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4734) q[0];
rz(0.3238) q[0];
rx(0.4835) q[1];
rz(0.4494) q[1];
rx(0.5317) q[2];
rz(0.9289) q[2];
rx(0.4736) q[3];
rz(0.8309) q[3];
rx(0.4516) q[4];
rz(0.463) q[4];
rx(-0.4373) q[5];
rz(0.7533) q[5];
crx(0.1242) q[5], q[4];
crx(0.3704) q[5], q[3];
crx(0.62... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 117.4541916847229} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [17, 3], "expectation_value": -5.069158825492042, "params": [[0.053200000000000004], [-0.044700000000000004]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01004148114529492, 0.010237088959945616], "optimization_time": 2.857025384902954} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2926) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2926) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2926) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2926) 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;
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]... | {"k": 5} | {"circuits": [], "gradients": []} |
9d0fda9991561362ccfc12e66c38b9f5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 15, "source": 1, "target": 3}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1... | {"states": [190, 122], "expectation_value": -29.721205993589127, "params": [[0.0268, -0.0027, 0.0002, 0.0024000000000000002], [-0.0634, -0.046400000000000004, -0.0396, -0.0285]], "bitstrings": ["01000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010907545227189362, 0.013475219527477045], "optim... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(4)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(2) @ Z(4)) + 3.5 * (Z(2) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1876) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1876) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1876) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.1876) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [192, 204], "expectation_value": -1.53162684953539, "params": [[[0.39480000000000004, -0.0531, 0.009600000000000001, 0.0077], [0.24750000000000003, 0.11460000000000001, 0.396, 0.1453], [0.0762, 0.0089, 0.0173, -0.08750000000000001], [0.0519, -0.0534, 0.23900000000000002, -0.2223], [0.384, 0.0626, 0.259300000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100110", "00110110", "00110011", "01110001", "00111001", "10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3948) q[0];
rz(-0.0531) q[0];
ry(0.2475) q[1];
rz(0.1146) q[1];
ry(0.0762) q[2];
rz(0.0089) q[2];
ry(0.0519) q[3];
rz(-0.0534) q[3];
ry(0.384) q[4];
rz(0.0626) q[4];
ry(0.1823) q[5];
rz(0.0647) q[5];
ry(-0.0334) q[6];
rz(0.3255) q[6];
ry(0.3955) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
a13dff7348d1aef0dcc3ad8789289a06 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 10}, {"capacity": 2, "source": 2, "target"... | {"states": [1024, 1023], "expectation_value": -18.310324731576202, "params": [[[-0.0002, 0.0056], [0.0083, 0.0014], [0.0048000000000000004, 0.0023], [0.0063, 0.0023], [0.0106, 0.0023], [-0.0018000000000000002, 0.0023], [-0.0015, -0.0026000000000000003], [0.0092, 0.002], [0.0076, 0.0027], [-0.001, 0.0047], [1.7295, -0.0... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.25 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(7) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0002) q[0];
ry(0.0083) q[1];
ry(0.0048) q[2];
ry(0.0063) q[3];
ry(0.0106) q[4];
ry(-0.0018) q[5];
ry(-0.0015) q[6];
ry(0.0092) q[7];
ry(0.0076) q[8];
ry(-0.001) q[9];
ry(1.7295) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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": 10} | {"circuits": [], "gradients": []} |
b2987b745cb916df3f5a63553d1bb231 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [1428, 1492], "expectation_value": -7.396049882584585, "params": [[[0.8895000000000001, -0.0033, 0.006, 0.0026000000000000003], [0.7607, 0.015700000000000002, 0.8748, 0.0167], [0.2461, 0.2616, 0.1691, -0.3136], [0.031, -0.20520000000000002, -0.0412, 0.6996], [0.5014000000000001, -0.5146000000000001, 0.286000... | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 11 | 11 | 4 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000101011", "01000100111", "10000100111", "10000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.8895) q[0];
rz(-0.0033) q[0];
ry(0.7607) q[1];
rz(0.0157) q[1];
ry(0.2461) q[2];
rz(0.2616) q[2];
ry(0.031) q[3];
rz(-0.2052) q[3];
ry(0.5014) q[4];
rz(-0.5146) q[4];
ry(-0.2662) q[5];
rz(0.0255) q[5];
ry(0.0503) q[6];
rz(0.1644) q[6];
ry(-0.0408) 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": 6} | {"circuits": [], "gradients": []} |
090005524f806d159c59e0ceeba589fb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [50, 51], "expectation_value": -8.166778301496198, "params": [0.48040000000000005, 0.0098, -0.0021000000000000003, 0.0076, 0.0015, 0.0061, 1.7137, 0.0024000000000000002, 1.7033, 0.0085, -0.0015, 0.0037, -0.003, 0.0092, 1.7005000000000001, 0.0048000000000000004, 1.6374000000000002, 0.006500000000000001, 0.001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["111001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4804) q[0];
rz(0.0098) q[0];
rx(-0.0021) q[1];
rz(0.0076) q[1];
rx(0.0015) q[2];
rz(0.0061) q[2];
rx(1.7137) q[3];
rz(0.0024) q[3];
rx(1.7033) q[4];
rz(0.0085) q[4];
rx(-0.0015) q[5];
rz(0.0037) q[5];
rx(-0.003) q[6];
rz(0.0092) q[6];
rx(1.7005) 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 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [9, 26], "expectation_value": -1.2480078738348195, "params": [[0.07540000000000001, 0.0775, 0.0723, 0.0763], [-0.06760000000000001, -0.0708, -0.0596, -0.0601]], "bitstrings": ["110110", "100101"], "total_optimization_steps": 10, "probabilities": [0.03227770494421979, 0.03625594477800361], "optimization_time"... | 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 | 4 | {"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];
cx q[1], q[0];
rz(0.0754) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0754) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0754) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0754) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(0.0754... | OPENQASM 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": []} |
-3005348631704612420 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 5, 0], [0, 1, 5, 7, 8], [0, 2, 3, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5], [1, 4, 6, 7], [0, 1, 2, 3, 4, 7, 8, 9], [2, 3, 4, 5, 7, 8, 9], [1, 3, 4, 6], [1, 2, 3, 5, 6, 7]]} | {"states": [765, 637], "expectation_value": -1.7722862872029572, "params": [1.7709000000000001, 0.0436, 1.296, 0.007500000000000001, 0.9172, 0.6576000000000001, 0.8432000000000001, 0.0031000000000000003, 1.0964, -0.20220000000000002, 0.6805, 0.0063, 1.7555, -0.0708, 1.2965, 0.0047, 1.7757, -0.1061, 1.2989000000000002, ... | 0.125 * (Z(8) @ Z(9)) + 0.10714285714285714 * (Z(5) @ Z(9)) + 0.18095238095238095 * (Z(5) @ Z(8)) + 0.10119047619047619 * (Z(0) @ Z(9)) + 0.175 * (Z(0) @ Z(8)) + 0.19047619047619047 * (Z(0) @ Z(5)) + 0.017857142857142856 * (Z(1) @ Z(9)) + 0.06785714285714287 * (Z(1) @ Z(8)) + 0.11666666666666667 * (Z(1) @ Z(5)) + 0.101... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.8916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8440476190476187, "smallest_bitstrings": ["0110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.7709) q[0];
rz(0.0436) q[0];
rx(0.9172) q[1];
rz(0.6576) q[1];
rx(1.0964) q[2];
rz(-0.2022) q[2];
rx(1.7555) q[3];
rz(-0.0708) q[3];
rx(1.7757) q[4];
rz(-0.1061) q[4];
rx(1.7624) q[5];
rz(0.0097) q[5];
rx(1.7568) q[6];
rz(-0.1026) q[6];
rx(1.7621) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -1.921343640288522, "params": [[-0.07830000000000001], [0.0756]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.020919396163999543, 0.021308250698260752], "optimization_time": 2.7692787647247314} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2741) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2741) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2741) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.3132) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 3} | {"circuits": [], "gradients": []} |
87ba346715d7ffd469182fcb7e9830c2 | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 34.126993894577026} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"]} | 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(1.2796) q[2];
cry(1.5708) q[2], q[6];
cry(-1.5708) q[6], q[0];
ry(-1.5708) q[1];
ry(-0.9755) q[3];
cry(-0.0456) q[6], q[3];
cry(-0.0561) q[2], q[3];
ry(-1.5707) q[4];
cry(-0.4949) q[5], q[3];
cry(0.056... | 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(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [4, 12], "expectation_value": -3.546055991576769, "params": [[[0.0545, -0.13140000000000002], [-0.011300000000000001, -0.20040000000000002], [0.4062, 0.0015], [0.4068, 0.0007], [0.049100000000000005, -0.1451], [0.0819, -0.099]], [[0.0575, -0.1308], [-0.0151, -0.2], [0.40230000000000005, 0.0014], [0.407000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0545) q[0];
rz(-0.1314) q[0];
rx(-0.0113) q[1];
rz(-0.2004) q[1];
rx(0.4062) q[2];
rz(0.0015) q[2];
rx(0.4068) q[3];
rz(0.0007) q[3];
rx(0.0491) q[4];
rz(-0.1451) q[4];
rx(0.0819) q[5];
rz(-0.099) q[5];
rx(0.0575) q[0];
rz(-0.1308) q[0];
rx(-0.0151) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
96ccbb83c354723a5662bdaecab6064e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 256], "expectation_value": -7.280512574980536, "params": [-0.2546, 0.0145, -0.0906, -0.0025, 0.0039000000000000003, 0.2652, 0.0011, 0.29660000000000003, 0.39990000000000003, -0.0008, 0.403, -0.0004, -0.0004, 0.3118, 0.0055000000000000005, 0.3106, -0.0013000000000000002, 0.2569, 0.0051, 0.2987, -0.0012000... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.75, "smallest_bitstrings": ["11000111011", "11011111111", "10000010010", "10000010000", "10000000000", "11001111011", "10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.2546) q[0];
rz(0.0145) q[0];
rx(0.0039) q[1];
rz(0.2652) q[1];
rx(0.3999) q[2];
rz(-0.0008) q[2];
rx(-0.0004) q[3];
rz(0.3118) q[3];
rx(-0.0013) q[4];
rz(0.2569) q[4];
rx(-0.0012) q[5];
rz(0.3126) q[5];
rx(0.0031) q[6];
rz(0.2948) q[6];
rx(0.0038) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 5.731884956359863} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["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];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4416) q[3];
ry(1.4416) q[0];
cry(-0.1259) q[3], q[1];
cry(0.1218) q[3], q[0];
cry(0.1214) q[0], q[3];
cry(-0.0222) q[3], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.999822148185713, "params": [0.0007, 0.0824, -0.0015, 0.0921, -0.006500000000000001, 0.0883, -0.007, 0.09680000000000001, 0.0006000000000000001, 0.09620000000000001, 0.0027, 0.0859, -0.0024000000000000002, 0.0713, -0.0058000000000000005, 0.0064, 0.0014, 0.0094, 0.00520000000000... | -1.0 * Z(0) | 5 | 1 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
rx(0.0007) q[0];
rz(0.0824) q[0];
rx(-0.0015) q[0];
rz(0.0921) q[0];
rx(-0.0065) q[0];
rz(0.0883) q[0];
rx(-0.007) q[0];
rz(0.0968) q[0];
rx(0.0006) q[0];
rz(0.0962) q[0];
rx(0.0027) q[0];
rz(0.0859) q[0];
rx(-0.0024) q[0];
rz(0.0713) q[0];
rx(-0.0058) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} |
d1602a48db0b9ddd29f550e6862bbc0a | 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": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -32.58508503524043, "params": [[-0.0386, -0.0026000000000000003, 0.005200000000000001, -0.0006000000000000001], [0.08080000000000001, 0.069, 0.055, 0.0502]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.019535085204585134, 0.0233... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"]} | 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[3];
rz(-0.3474) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.3474) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3474) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.3474) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
d28a325d7efce07d7a6fc9416e839afe | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [1582, 1598], "expectation_value": -4.004121376355427, "params": [1.4054, 1.4064, 1.4012, 1.3999000000000001, -0.0221, -0.017400000000000002, 0.0031000000000000003, 0.0031000000000000003, 0.3855, 0.3916, 1.4021000000000001, 1.4012, 0.7865000000000001, 0.785, 1.3956000000000002, 1.3988, 1.4075, 1.4052, 1.4060... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(4) @ Z(7) @ Z(8)) + 0.125 * (Z(0) @ Z(3)... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["00111000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.4054) q[0];
ry(1.4012) q[1];
ry(-0.0221) q[2];
ry(0.0031) q[3];
ry(0.3855) q[4];
ry(1.4021) q[5];
ry(0.7865) q[6];
ry(1.3956) q[7];
ry(1.4075) q[8];
ry(1.406) q[9];
ry(0.003) q[10];
crz(1.0078) q[10], q[0];
crz(-0.001) q[9], q[10];
crz(0.0012) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
216fa3ac5e9f09e597390a38dc3f522d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [724, 756], "expectation_value": -2.388111364866106, "params": [[0.9834, -0.0091, 1.2031, 1.1883000000000001, 0.5176000000000001, 1.1911, 0.335, 1.1924000000000001, 0.0019, -0.0013000000000000002], [1.185, -0.034, 0.5289, -0.2078, 0.1637, 0.4219, 0.1164, 0.7785000000000001, 0.0044, 0.0058000000000000005], [0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100001011", "0010101001", "0001001110", "0001100110", "0100010011", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9834) q[0];
ry(-0.0091) q[1];
ry(1.2031) q[2];
ry(1.1883) q[3];
ry(0.5176) q[4];
ry(1.1911) q[5];
ry(0.335) q[6];
ry(1.1924) q[7];
ry(0.0019) q[8];
ry(-0.0013) q[9];
cz q[9], 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... | OPENQASM 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": []} |
d3afc618b7dbe8b32f310fdf84749e1a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [88, 84], "expectation_value": -0.16530946220433215, "params": [[-0.037700000000000004, -0.0344], [0.0444, 0.0342]], "bitstrings": ["0100111", "0101011"], "total_optimization_steps": 10, "probabilities": [0.008542737517352808, 0.008542737517352812], "optimization_time": 7.007018089294434} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "0100111", "1100110", "0101011"]} | 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(-0.0377) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0377) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.0377) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0377) q[6];
cx q[0], q[6];
cx q[5], q[6... | 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": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.3955910205841} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "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];
ry(1.5706) q[8];
ry(1.5706) q[1];
cry(1.5681) q[1], q[3];
cry(-1.0342) q[7], q[4];
cry(1.4138) q[1], q[5];
cry(1.067) q[8], q[7];
cry(-0.9143) q[5], q[4];
cry(-1.416) q[0], q[2];
cry(-1.38... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
9489ce4d26b81338a996936b33ca51e5 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 255], "expectation_value": -0.9516297769806766, "params": [[-0.0337], [0.0285]], "bitstrings": ["0000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.0012155273823521995, 0.0012340318340751837], "optimization_time": 1.0009524822235107} | -1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1011) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(0.2359) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0674) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.1685) q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 1} | {"circuits": [], "gradients": []} |
ee5003dbca1fdbcbd88181869b242caf | 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": [1328, 1330], "expectation_value": -52.20735634329675, "params": [[[0.48650000000000004, 0.1052], [0.1492, 0.0945], [0.5046, 0.48460000000000003], [0.047, 0.5021], [-0.14780000000000001, 0.2853], [0.24130000000000001, 0.4943], [0.3114, 0.4702], [0.2252, 0.5006], [-0.0509, 0.45030000000000003], [0.4998, 0.5],... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(9)) + 9.0 * Z(1) + 5.5 * Z(0) + 13.0 * Z(2) + -3.5 * Z(3) + 3.5 * Z(7) + 6.5 * Z(5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-105.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["01011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4865) q[0];
ry(0.1492) q[1];
ry(0.5046) q[2];
ry(0.047) q[3];
ry(-0.1478) q[4];
ry(0.2413) q[5];
ry(0.3114) q[6];
ry(0.2252) q[7];
ry(-0.0509) q[8];
ry(0.4998) q[9];
ry(0.4906) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
dca74c4464ee5c0862a21e9a873391f9 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [14, 28], "expectation_value": -2.989091462326524, "params": null, "bitstrings": ["1110001", "1100011"], "total_optimization_steps": 30, "probabilities": [0.06071911057783971, 0.8639380535374453], "optimization_time": 20.6330246925354} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1101010", "1100011", "1110001", "0110101", "0011101", "0101110", "0100111", "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[1];
ry(-1.4449) q[6];
ry(1.4417) q[3];
cry(-1.0398) q[2], q[5];
cry(-1.0342) q[4], q[0];
ry(0.7022) q[2];
ry(0.7003) q[4];
ry(-0.4578) q[5];
cry(0.4969) q[3], q[2];
ry(-0.4549) q[0];
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[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", ... |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 26.73444128036499} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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];
ry(1.5486) q[1];
cry(1.5681) q[1], q[2];
cry(1.5626) q[3], q[4];
cry(1.2164) q[4], q[3];
cry(1.4448) q[1], q[5];
cry(-1.5148) q[5], q[0];
cry(0.0891) q[2], q[5];
cry(-0.0583) q[1], q[0];
cry(0.0117) q[2], q[1];
r... | 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(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
-9222355336606288812 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1], [0, 6], [3, 4], [0, 2], [0, 7], [4, 7], [8, 1], [2, 5], [8, 7], [8, 6], [3, 6], [5, 7], [8, 3], [0, 3], [1, 3], [8, 5], [1, 5]]} | {"states": [230, 281], "expectation_value": -0.16965490552764798, "params": [[0.07200000000000001], [-0.0712]], "bitstrings": ["100011001", "011100110"], "total_optimization_steps": 10, "probabilities": [0.002415837808113856, 0.002415837808113856], "optimization_time": 2.442521095275879} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011001", "011100110"]} | 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(0.072) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(0.072) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0.072) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.072) 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] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];... | null | {"circuits": [], "gradients": []} |
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": -58.38359034263035, "params": [0.4716, 0.2554, 0.8946000000000001, 0.005, 0.8949, 0.0013000000000000002, 0.8995000000000001, 0.22260000000000002, 0.25930000000000003, 0.4413, 0.8983000000000001, 0.19540000000000002, 0.42750000000000005, 0.4707, 0.894, 0.0102, 0.0038, -0.4993,... | 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 | 3 | {"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(0.4716) q[0];
rz(0.2554) q[0];
rx(0.8946) q[1];
rz(0.005) q[1];
rx(0.8949) q[2];
rz(0.0013) q[2];
rx(0.8995) q[3];
rz(0.2226) q[3];
rx(0.2593) q[4];
rz(0.4413) q[4];
rx(0.8983) q[5];
rz(0.1954) q[5];
rx(0.4275) q[6];
rz(0.4707) q[6];
rx(0.894) q[7];
rz(0.01... | OPENQASM 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": []} |
9c63a6179c0b5e6ec2eaed70107cee42 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [245, 117], "expectation_value": -48.931203978753445, "params": [0.4782, 0.28300000000000003, 0.9002, 0.08750000000000001, 0.8941, 0.0018000000000000002, 0.8981, 0.2024, 0.41240000000000004, 0.41250000000000003, 0.8949, 0.1547, 0.3408, 0.3382, 0.8979, 0.066, 0.47540000000000004, 0.2528, 0.8926000000000001, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 7.5 * Z(0) + 9.0 * Z(1) + 16.0 * Z(2) + 5.5 * Z(3) + 3.5 * Z(4) + 13.5 * Z(7) + 14.5 * Z(5) + 3.0 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4782) q[0];
rz(0.283) q[0];
rx(0.9002) q[1];
rz(0.0875) q[1];
rx(0.8941) q[2];
rz(0.0018) q[2];
rx(0.8981) q[3];
rz(0.2024) q[3];
rx(0.4124) q[4];
rz(0.4125) q[4];
rx(0.8949) q[5];
rz(0.1547) q[5];
rx(0.3408) q[6];
rz(0.3382) q[6];
rx(0.8979) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
29e20e1b5f946c33b32370f6ba5b02af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.272499181074988, "params": [-0.0049, -0.0048000000000000004, 0.0006000000000000001, 0.0022, 0.0006000000000000001, 0.0027, 0.2008, 0.198, -0.0038, 0.0045000000000000005, 0.0008, 0.003, 0.0054, 0.0011, 0.1547, 0.1738, 0.0043, 0.0015, 0.0137, 0.0173, 0.00030000000000000003, 0... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0049) q[0];
ry(0.0006) q[1];
ry(0.0006) q[2];
ry(0.2008) q[3];
ry(-0.0038) q[4];
ry(0.0008) q[5];
ry(0.0054) q[6];
ry(0.1547) q[7];
ry(0.0043) q[8];
ry(0.0137) q[9];
ry(0.0003) q[10];
ry(0.0055) q[11];
crx(0.1237) q[11], q[0];
crx(0.0571) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
4d778fc08d555f5d794c80ebdd4cf032 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -13.107522665180664, "params": [0.006200000000000001, 0.3008, 0.0034000000000000002, 0.4595, 0.0055000000000000005, 0.27090000000000003, 0.0025, 0.46480000000000005, 0.0035, 0.42360000000000003, 0.0007, 0.433, 0.0021000000000000003, 0.4534, 0.0038, 0.4434, 0.6066, -0.0041, 0.0033... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0062) q[0];
rz(0.3008) q[0];
rx(0.0034) q[1];
rz(0.4595) q[1];
rx(0.0055) q[2];
rz(0.2709) q[2];
rx(0.0025) q[3];
rz(0.4648) q[3];
rx(0.0035) q[4];
rz(0.4236) q[4];
rx(0.0007) q[5];
rz(0.433) q[5];
rx(0.0021) q[6];
rz(0.4534) q[6];
rx(0.0038) q[7];
rz(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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1544988c6452fa79840159cabec617a0 | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [131, 3], "expectation_value": -12.709926169926845, "params": null, "bitstrings": ["1101111100", "1111111100"], "total_optimization_steps": 53, "probabilities": [0.21045043570102925, 0.3695999998291817], "optimization_time": 86.30240058898926} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"]} | 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(1.5709) q[8];
cry(-1.5708) q[8], q[2];
cry(-1.5709) q[8], q[5];
cry(-1.5708) q[9], q[0];
ry(1.1916) q[9];
cry(-0.5893) q[8], q[0];
cry(-1.5706) q[8], q[1];
cry(0.2779) q[8], q... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) q[8];\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]... |
533fcd480a5175680493f52fe07173d6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [61, 37], "expectation_value": -3.7330385997197912, "params": [[-0.0021000000000000003, -0.0017000000000000001, 0.0008, 0.7778, 0.7684000000000001, 0.0004, -0.0018000000000000002, -0.002], [-0.0017000000000000001, -0.0045000000000000005, 0.0019, 0.7802, 0.7714000000000001, -0.0018000000000000002, -0.00390000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0021) q[0];
rx(-0.0017) q[1];
rx(0.0008) q[2];
rx(0.7778) q[3];
rx(0.7684) q[4];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 5], "expectation_value": -6.692731374408554, "params": [0.0047, 0.4203, -0.0034000000000000002, 0.6604, -0.0036000000000000003, 0.6616000000000001, -0.0033, -0.6557000000000001, -0.0061, 0.5719000000000001, 0.4938, 0.0061, -0.0021000000000000003, 0.5918, 0.7861, 0.0026000000000000003, 0.0004, 0.5492, -0.... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0047) q[0];
rz(0.4203) q[0];
rx(-0.0034) q[1];
rz(0.6604) q[1];
rx(-0.0036) q[2];
rz(0.6616) q[2];
rx(-0.0033) q[3];
rz(-0.6557) q[3];
rx(-0.0061) q[4];
rz(0.5719) q[4];
rx(0.4938) q[5];
rz(0.0061) q[5];
rx(-0.0021) q[6];
rz(0.5918) q[6];
rx(0.7861) 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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 80.7170557975769} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[2];
ry(0.7848) q[5];
cry(-1.5708) q[4], q[1];
ry(0.8233) q[4];
ry(-0.4144) q[0];
ry(-0.3107) q[1];
cry(0.4137) q[5], q[3];
ry(-0.2673) q[2];
cry(0.35... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
73924d088e12a6d78414c437d1cb8fbe | 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": [2962, 2834], "expectation_value": -120.60342880839943, "params": [[0.6423, 0.0106, 0.8489, 0.2376, 0.40990000000000004, 0.0006000000000000001, -0.0587, 0.6261, -0.0029000000000000002, -0.0291, 0.7093, 0.037200000000000004], [0.6427, -0.0098, 0.44380000000000003, -0.1048, 0.27540000000000003, -0.003600000000... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(4)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(9) @ Z(2)) + 8.5 * (Z(10) @ Z(2)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(10)) + -0.5 * Z(0) + -4.0 * Z(1) + 5.0 * Z(4) + 26.5 * Z(2) + 17.5 * Z(3) + 6.5 ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -134.5, "smallest_bitstrings": ["010011101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6423) q[0];
ry(0.0106) q[1];
ry(0.8489) q[2];
ry(0.2376) q[3];
ry(0.4099) q[4];
ry(0.0006) q[5];
ry(-0.0587) q[6];
ry(0.6261) q[7];
ry(-0.0029) q[8];
ry(-0.0291) q[9];
ry(0.7093) q[10];
ry(0.0372) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
b03062475f1287ad31bf0aaec748b841 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [832, 963], "expectation_value": -21.442702010841483, "params": [0.8092, 0.2516, 0.5688, 0.5852, 0.6679, 0.557, 0.53, 0.7227, 0.8888, 1.0688, -0.7771, 0.7110000000000001, 0.8428, 1.4266, 0.5764, 0.6981, 0.0006000000000000001, 0.6664, 0.0018000000000000002, 1.3528, -0.0021000000000000003, 0.7789, -0.006200000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8092) q[0];
rz(0.2516) q[0];
rx(0.6679) q[1];
rz(0.557) q[1];
rx(0.8888) q[2];
rz(1.0688) q[2];
rx(0.8428) q[3];
rz(1.4266) q[3];
rx(0.0006) q[4];
rz(0.6664) q[4];
rx(-0.0021) q[5];
rz(0.7789) q[5];
rx(-0.0055) q[6];
rz(0.5818) q[6];
rx(0.0039) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
b72451fd8beb69606a84f4be9a392c11 | 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": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.24985956669714, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 27.396448135375977} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5709) q[6];
cry(-1.5708) q[7], q[0];
ry(1.092) q[7];
ry(-0.5035) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.553) q[2];
cry(-0.1745) q[0], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
26d7f56e59bfdf48052023802b40605b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [9, 3], "expectation_value": -1.477628649142227, "params": [[-0.0171, -0.029300000000000003, -0.004200000000000001, 0.07200000000000001], [0.0073, 0.0337, 0.035500000000000004, -0.0397]], "bitstrings": ["10110", "11100"], "total_optimization_steps": 10, "probabilities": [0.03745912410989647, 0.03806091277626... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0599) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0599) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0684) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0684) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.263233464376844, "params": [-0.0027, 0.006200000000000001, -0.0023, 0.003, -1.5973000000000002, 0.0027, -0.0024000000000000002, 0.0081, 3.1445000000000003, 0.0039000000000000003, 3.1439000000000004, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 1 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0027) q[0];
rz(0.0062) q[0];
rx(-0.0023) q[1];
rz(0.003) q[1];
rx(-1.5973) q[2];
rz(0.0027) q[2];
rx(-0.0024) q[3];
rz(0.0081) q[3];
rx(3.1445) q[4];
rz(0.0039) q[4];
rx(3.1439) q[5];
rz(0.0034) q[5];
crz(0.0065) q[5], q[0];
crz(0.0047) q[4], q[5];
crz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [991, 989], "expectation_value": -6.957379226004055, "params": [0.3934, 0.024300000000000002, 0.3645, 0.0194, 0.30770000000000003, 0.0227, 0.3059, 0.025400000000000002, 0.31320000000000003, 0.0161, 0.306, 0.017400000000000002, 0.2967, -0.007500000000000001, 0.32530000000000003, -0.0241, 0.2726, -0.0045000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 6 | 11 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3934) q[0];
rz(0.0243) q[0];
rx(0.3077) q[1];
rz(0.0227) q[1];
rx(0.3132) q[2];
rz(0.0161) q[2];
rx(0.2967) q[3];
rz(-0.0075) q[3];
rx(0.2726) q[4];
rz(-0.0045) q[4];
rx(0.343) q[5];
rz(0.0503) q[5];
rx(0.2145) q[6];
rz(-0.0909) q[6];
rx(0.3488) 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
b2edf981a9c05ff141b468ab5531d2c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [69, 85], "expectation_value": -1.392554243900398, "params": [0.7052, 0.24680000000000002, 0.0674, 0.42100000000000004, 0.5252, -0.12090000000000001, 0.2326, -0.2525, 0.7084, 0.14800000000000002, 0.2513, 0.2816, 0.5778, 0.0442, 0.7005, 0.2383, 0.064, 0.436, 0.5357000000000001, -0.1761, 0.2326, -0.26480000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101010", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7052) q[0];
rz(0.2468) q[0];
rx(0.0674) q[1];
rz(0.421) q[1];
rx(0.5252) q[2];
rz(-0.1209) q[2];
rx(0.2326) q[3];
rz(-0.2525) q[3];
rx(0.7084) q[4];
rz(0.148) q[4];
rx(0.2513) q[5];
rz(0.2816) q[5];
rx(0.5778) q[6];
rz(0.0442) q[6];
crz(-0.0067) q[6], 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": []} |
d535fd6dace549a08fd67ed2297bdcfa | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [8175, 8167], "expectation_value": -15.622423537171516, "params": [[[-1.0421, 2.1991], [0.0019, 0.9327000000000001], [-0.0029000000000000002, -0.0018000000000000002], [0.0028, -0.003], [0.0022, 0.0029000000000000002], [0.0022, 0.0016], [0.0021000000000000003, 0.0019], [-0.0024000000000000002, 0.0021000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["0000000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-1.0421) q[0];
ry(0.0019) q[1];
ry(-0.0029) q[2];
ry(0.0028) q[3];
ry(0.0022) q[4];
ry(0.0022) q[5];
ry(0.0021) q[6];
ry(-0.0024) q[7];
ry(-1.6443) q[8];
ry(-1.6378) q[9];
ry(0.0023) q[10];
ry(0.0039) q[11];
ry(-0.0021) 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[... | {"node": 10} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.12293923688952649, "params": [[0.0636], [-0.0521]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.016888803039765397, 0.017088471416208895], "optimization_time": 1.3921797275543213} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.0636) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0636) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0636) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.0636) q[2];
cx q[1], q[2];
cx q[5], q[3];
rz(0.0636... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5... | null | {"circuits": [], "gradients": []} |
94b4685949b0232e6f45bdcd5b80e7ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [294, 358], "expectation_value": -2.1275638939927526, "params": [[[0.5916, -0.0199], [0.18080000000000002, -0.016900000000000002], [0.5975, 0.1242], [0.6038, 0.1265], [-0.1814, 0.1177], [0.038700000000000005, -0.4576], [0.37970000000000004, 0.6076], [0.5901000000000001, 0.5987], [0.5912000000000001, -0.0859]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5916) q[0];
ry(0.1808) q[1];
ry(0.5975) q[2];
ry(0.6038) q[3];
ry(-0.1814) q[4];
ry(0.0387) q[5];
ry(0.3797) q[6];
ry(0.5901) q[7];
ry(0.5912) 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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4ab3a9f98a5ea141820b159d6cb4ba53 | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.5882854007745819, "params": [[-0.0849], [0.07730000000000001]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005351444465481105, 0.005731462729092626], "optimization_time": 4.637930870056152} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0849) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0425) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.1698) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.0849) q[1];
cx q[4], q[1];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
836c884d7f0cabd4f561d6ff6961863c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [0, 125], "expectation_value": -13.511351751517946, "params": [[[-0.0041, -0.0051], [-0.0036000000000000003, 1.6117000000000001], [0.0026000000000000003, 0.0027], [0.0026000000000000003, -0.0029000000000000002], [0.0027, 0.0027], [0.0025, 0.0021000000000000003], [0.4787, 0.0001], [-0.0019, -0.0011]], [[0.000... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 15 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0041) q[0];
ry(-0.0036) q[1];
ry(0.0026) q[2];
ry(0.0026) q[3];
ry(0.0027) q[4];
ry(0.0025) q[5];
ry(0.4787) q[6];
ry(-0.0019) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
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": 7} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 49], "expectation_value": -0.06202515197428636, "params": [[-0.0463], [0.056600000000000004]], "bitstrings": ["101001", "001110"], "total_optimization_steps": 10, "probabilities": [0.01644987110280313, 0.016449871102803132], "optimization_time": 0.9538674354553223} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0463) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0463) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0463) q[4];
cx q[0], q[4];
cx q[0], q[3];
rz(-0.0463) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx ... | null | {"circuits": [], "gradients": []} |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [3, 1], "expectation_value": -0.14706638153619983, "params": [[-0.056400000000000006], [0.0587]], "bitstrings": ["1111111100", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.001179402528098473, 0.0012330717887591334], "optimization_time": 3.5466248989105225} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0564) q[0];
cx q[1], q[0];
cx q[1], q[7];
rz(0.0564) q[7];
cx q[1], q[7];
cx q[0], q[7];
rz(0.0564) q[7];
cx q[0], q[7];
cx q[0], q[9];
rz(-0.141) q[9];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.2153907466587811, "params": [[-0.07300000000000001], [0.0674]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009228854455877206, 0.009376975611227741], "optimization_time": 1.789376974105835} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"]} | 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(0.073) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.146) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.0365) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.073) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c8cc4a98ae2322198d431f79e7c08f2a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [725, 757], "expectation_value": -1.7474734269465688, "params": [[0.3166, 1.5863, -0.005, 1.1925000000000001, 0.3699, 0.0074, 1.5743, 0.1709, 1.5898, 0.42450000000000004, 1.3606], [0.15940000000000001, 1.5772000000000002, 0.8175, 1.5904, 1.6004, 1.5956000000000001, 1.5795000000000001, 0.7874, 1.4636, 0.7508,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(2) @ Z(8)) ... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["10001110000", "01010100001", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3166) q[0];
ry(1.5863) q[1];
ry(-0.005) q[2];
ry(1.1925) q[3];
ry(0.3699) q[4];
ry(0.0074) q[5];
ry(1.5743) q[6];
ry(0.1709) q[7];
ry(1.5898) q[8];
ry(0.4245) q[9];
ry(1.3606) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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