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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
01c509cf41fe904ef36f9c73fa58f4df | 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": 4, "source": 0, "t... | {"states": [206, 110], "expectation_value": -16.476907733765216, "params": [[-0.038400000000000004, 0.0789], [0.0813, -0.0477]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010260684755651823, 0.011970242041450706], "optimization_time": 3.084613084793091} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3456) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3456) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3456) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(-0.3456) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
75b2b49bf8a153c97d838ff6c1f36ee5 | 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": 5, "source": 0, "t... | {"states": [123, 109], "expectation_value": -34.29038027272148, "params": [[-0.0342, -0.0064, 0.0018000000000000002, 0.0031000000000000003], [0.0762, 0.0737, 0.0664, 0.0499]], "bitstrings": ["10000100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.021461455485440626, 0.025813053294713496], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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(-0.3078) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3078) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3078) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
e7bc699c35b1120df8b5c2c20348ae08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [272, 276], "expectation_value": -19.585973149668497, "params": [0.004, 0.0016, -0.0045000000000000005, 0.0026000000000000003, 0.00030000000000000003, -0.006900000000000001, -0.39530000000000004, -0.3905, -0.0002, -0.0047, -0.0008, -0.0068000000000000005, -0.0028, -0.0024000000000000002, 0.3909, 0.3806, -0.0... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(4)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.5 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(8)) + -1.5 * (Z(2) @ Z(4)) + 2.25 * (Z(3) @ Z(0)) + -0.75 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["111011101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.004) q[0];
ry(-0.0045) q[1];
ry(0.0003) q[2];
ry(-0.3953) q[3];
ry(-0.0002) q[4];
ry(-0.0008) q[5];
ry(-0.0028) q[6];
ry(0.3909) q[7];
ry(-0.0001) q[8];
ry(-0.2889) q[9];
ry(0.0009) q[10];
ry(-0.0044) q[11];
crx(-0.0258) q[11], q[0];
crx(-0.552) q[10], ... | 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": []} |
-7794803646253637882 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 7, 8, 9], [0, 2, 3, 6, 7, 9], [0, 4, 6, 7, 8]]} | {"states": [509, 381], "expectation_value": -0.7417628447790627, "params": [-0.0025, -0.0025, 1.1158000000000001, 2.0198, 0.7492000000000001, 0.7408, 1.5724, 1.574, 1.5694000000000001, 1.5671000000000002, 1.5768, 1.5698, 1.5674000000000001, 1.5699, 1.5736, 1.5726, 0.09870000000000001, -0.0689, 1.5731000000000002, 1.563... | 0.07103174603174603 * (Z(0) @ Z(3)) + 0.037698412698412696 * (Z(5) @ Z(3)) + 0.037698412698412696 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(6) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(0)) + 0.023809523809523808 * (Z(6) @ Z(5)) + 0.07103174603174603 * (Z(7) @ Z(3)) + 0.12103174603174603 * (Z(7) @ Z(0)) + 0.03769841269... | 13 | 10 | 1 | {"smallest_eigenvalues": [-0.7571428571428575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.7571428571428572, "smallest_bitstrings": ["1010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0025) q[0];
ry(1.1158) q[1];
ry(0.7492) q[2];
ry(1.5724) q[3];
ry(1.5694) q[4];
ry(1.5768) q[5];
ry(1.5674) q[6];
ry(1.5736) q[7];
ry(0.0987) q[8];
ry(1.5731) q[9];
crz(0.0057) q[9], q[0];
crz(1.6366) q[8], q[9];
crz(0.002) q[7], q[8];
crz(-0.002) 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": []} |
50803b752054f0512687e537ee7368f9 | 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": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 11], "expectation_value": -0.4317248481500889, "params": [[0.0718, 0.067, 0.046900000000000004, 0.0413], [-0.08080000000000001, -0.07690000000000001, -0.0526, -0.0405]], "bitstrings": ["001011", "110100"], "total_optimization_steps": 10, "probabilities": [0.02691055183477197, 0.02691055183477204], "opti... | 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 | 4 | {"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];
cx q[5], q[0];
rz(0.0718) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(0.0718) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0718) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0718) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0718... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
1e8eda70963a542719de9c9e93de4b5d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": ... | {"states": [258, 262], "expectation_value": -18.460920464820084, "params": [0.0005, -0.0029000000000000002, -0.0059, -0.0076, -0.0082, -0.0019, 0.3027, 0.3049, -0.0044, -0.0016, 0.00030000000000000003, -0.0039000000000000003, -0.0044, 0.0022, -0.0028, -0.0053, -0.0027, 0.0011, 0.2896, 0.2968, 0.2908, 0.2865000000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) ... | 14 | 12 | 3 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["111011111001", "111011111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0005) q[0];
ry(-0.0059) q[1];
ry(-0.0082) q[2];
ry(0.3027) q[3];
ry(-0.0044) q[4];
ry(0.0003) q[5];
ry(-0.0044) q[6];
ry(-0.0028) q[7];
ry(-0.0027) q[8];
ry(0.2896) q[9];
ry(0.2908) q[10];
ry(-0.0029) q[11];
crx(0.2419) q[11], q[0];
crx(-0.0054) q[10], ... | 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": []} |
-4405714036867385194 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 6, 8, 10, 11], [1, 5, 7, 8, 9, 10], [1, 2, 3, 4, 5, 8, 9, 10, 11], [0, 1, 4, 5, 8, 9, 11], [1, 6, 7, 10, 11], [8, 1, 2, 7], [1, 2, 3, 4, 5, 6, 8, 9], [0, 5, 7, 8, 9, 10, 11], [0, 2, 3, 7, 8, 9, 10, 11], [0, 9, 3, 4], [1, 3, 5, 6, 7, 8, 10], [0, ... | {"states": [383, 511], "expectation_value": -2.5759400075526413, "params": [0.2008, 0.19410000000000002, 0.2127, 0.2132, 0.18130000000000002, 0.18580000000000002, 1.4616, 1.6708, 0.8297, 0.8256, 1.0289000000000001, 1.0616, 1.5993000000000002, 1.5472000000000001, 1.5729, 1.5724, 1.5724, 1.5725, 1.5669000000000002, 1.570... | 0.09722222222222221 * (Z(1) @ Z(6)) + 0.07936507936507936 * (Z(7) @ Z(6)) + 0.1365079365079365 * (Z(7) @ Z(1)) + 0.08333333333333331 * (Z(8) @ Z(6)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.06547619047619047 * (Z(8) @ Z(7)) + 0.10317460317460317 * (Z(10) @ Z(6)) + 0.2198412698412698 * (Z(10) @ Z(1)) + 0.16031746031746... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.751190476190475], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7035714285714283, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2008) q[0];
ry(0.2127) q[1];
ry(0.1813) q[2];
ry(1.4616) q[3];
ry(0.8297) q[4];
ry(1.0289) q[5];
ry(1.5993) q[6];
ry(1.5729) q[7];
ry(1.5724) q[8];
ry(1.5669) q[9];
ry(1.588) q[10];
ry(1.596) q[11];
crz(-0.0315) q[11], q[0];
crz(-0.0054) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
43783f0d102db45430e0e9cc0abd5421 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -0.5483487918143782, "params": [[-0.067], [0.0743]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0029620647270232445, 0.0029656667670999244], "optimization_time": 2.623067617416382} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111110", "111111010"]} | 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(0.0335) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0335) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1005) q[2];
cx q[0], q[2];
cx q[1], q[7];
rz(0.1005) q[7];
cx q[1], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2cd9688dd7e6e70fe4c6359393ef8382 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -7.3192775969859145, "params": [0.0016, 0.37620000000000003, -0.0005, -0.10360000000000001, 0.0022, 0.5918, -0.0026000000000000003, 0.6068, -0.0013000000000000002, -0.0145, 0.0059, -0.0018000000000000002, -0.058, 0.1189, 0.0022, 0.5601, 0.8058000000000001, -0.0016, 0.0005, -0.002... | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 4 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0016) q[0];
rz(0.3762) q[0];
rx(-0.0005) q[1];
rz(-0.1036) q[1];
rx(0.0022) q[2];
rz(0.5918) q[2];
rx(-0.0026) q[3];
rz(0.6068) q[3];
rx(-0.0013) q[4];
rz(-0.0145) q[4];
rx(0.0059) q[5];
rz(-0.0018) q[5];
rx(-0.058) q[6];
rz(0.1189) q[6];
rx(0.0022) 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": 8} | {"circuits": [], "gradients": []} |
7972250492454166773 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 5, 6, 7], [0, 1, 6, 7, 8, 9], [0, 2, 3, 5, 6, 7, 8]]} | {"states": [459, 475], "expectation_value": -0.8366358126669301, "params": [[[0.44680000000000003, 0.0045000000000000005], [3.1434, 0.001], [3.1390000000000002, 0.006500000000000001], [3.1386000000000003, 0.0086], [0.4087, 0.00030000000000000003], [1.6233000000000002, 0.0047], [3.1385, 0.0036000000000000003], [0.487000... | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.2238095238095238 * (Z(6) @ Z(1)) + 0.05714285714285714 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(0) @ Z(6)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(6)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.023809523809... | 1 | 10 | 1 | {"smallest_eigenvalues": [-0.9142857142857145, -0.9142857142857145, -0.9142857142857145, -0.9142857142857145], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.9142857142857144, "smallest_bitstrings": ["1000110001", "0000110101", "0001100101", "1000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4468) q[0];
rz(0.0045) q[0];
rx(3.1434) q[1];
rz(0.001) q[1];
rx(3.139) q[2];
rz(0.0065) q[2];
rx(3.1386) q[3];
rz(0.0086) q[3];
rx(0.4087) q[4];
rz(0.0003) q[4];
rx(1.6233) q[5];
rz(0.0047) q[5];
rx(3.1385) q[6];
rz(0.0036) q[6];
rx(0.487) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [2911, 2907], "expectation_value": -5.4737835459597655, "params": [1.0446, -0.012700000000000001, 0.5471, 0.4152, 1.0311000000000001, 0.306, 1.0404, -0.0381, 0.5328, 0.3875, 1.0241, 0.375, 0.546, 0.38070000000000004, 1.0407, 0.14350000000000002, 1.0122, 0.1453, 0.5685, 0.37320000000000003, 1.036, 0.1432, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0446) q[0];
rz(-0.0127) q[0];
rx(0.5471) q[1];
rz(0.4152) q[1];
rx(1.0311) q[2];
rz(0.306) q[2];
rx(1.0404) q[3];
rz(-0.0381) q[3];
rx(0.5328) q[4];
rz(0.3875) q[4];
rx(1.0241) q[5];
rz(0.375) q[5];
rx(0.546) q[6];
rz(0.3807) q[6];
rx(1.0407) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] 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 floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.05131794490105, "params": [0.8193, 0.4197, 0.6022000000000001, 0.0032, 0.8530000000000001, 0.4818, 0.7935, 0.0099, 0.3321, -0.44730000000000003, 0.2429, 0.006500000000000001, 0.2546, 0.48140000000000005, 0.23900000000000002, 0.0016, 0.8530000000000001, -0.0132, 0.8061, 0.002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.8193) q[0];
rz(0.4197) q[0];
rx(0.853) q[1];
rz(0.4818) q[1];
rx(0.3321) q[2];
rz(-0.4473) q[2];
rx(0.2546) q[3];
rz(0.4814) q[3];
rx(0.853) q[4];
rz(-0.0132) q[4];
crz(0.3733) q[4], q[3];
crz(-0.5146) q[4], q[2];
crz(0.5162) q[4], q[1];
crz(0.4154) q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9863354793997835, "params": [[0.0791], [-0.0792]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0055919758321717585, 0.005765038310773846], "optimization_time": 2.1028695106506348} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1582) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.0791) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(-0.1582) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.2769) q[7];
cx q[0], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5872145575389226923 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [8, 2], [2, 3], [4, 6], [1, 4], [0, 7], [2, 7], [3, 7]]} | {"states": [460, 492], "expectation_value": -2.6614044608565117, "params": null, "bitstrings": ["000110011", "000010011"], "total_optimization_steps": 77, "probabilities": [0.10170069014457656, 0.5661804283998666], "optimization_time": 128.24145245552063} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["011001110", "100110001", "010100111", "101011000", "001011010", "111001100", "110100101", "111101100", "000110011", "000010011",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[3], q[7];
cry(-1.0342) q[6], q[4];
cry(-1.0342) q[2], q[8];
ry(1.0293) q[2];
cry(-0.8214) q[5], q[8];
cry(1.1655) q[2], q[5];
ry(-0.3465) q[8];
cry(-0.6534) q[0], q[7];
ry(1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
e8d596808c64f05cb47f0ff36b159db4 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -41.45778593407355, "params": [[[0.0011, 1.6087], [0.0029000000000000002, 0.0038], [0.0028, -0.0029000000000000002], [0.0021000000000000003, 0.0026000000000000003], [0.0021000000000000003, 0.0022], [0.0018000000000000002, 0.002], [0.0023, 0.0024000000000000002], [0.0023, 0.543... | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -4.0 * (Z(3) @ Z(6)) + -3.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(6)) + -3... | 15 | 12 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.5, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0011) q[0];
ry(0.0029) q[1];
ry(0.0028) q[2];
ry(0.0021) q[3];
ry(0.0021) q[4];
ry(0.0018) q[5];
ry(0.0023) q[6];
ry(0.0023) q[7];
ry(0.0018) q[8];
ry(0.0016) q[9];
ry(-0.0036) q[10];
ry(0.0025) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 38.07285022735596} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5486) q[1];
ry(-1.4449) q[4];
ry(1.0341) q[2];
cry(-1.2415) q[6], q[5];
ry(1.2907) q[0];
ry(0.7971) q[6];
cry(-0.6796) q[2], q[5];
cry(1.3184) q[6], q[3];
cry(0.472) q[0], q[2];
cry(0.4452) q[2], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
edc3bac605c0e8fb4f027513dd92e8fb | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 117], "expectation_value": -0.05482536377409942, "params": [[0.049300000000000004, 0.035], [-0.047900000000000005, -0.034800000000000005]], "bitstrings": ["00110001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.004322262802382607, 0.004322262802382612], "optimization_time": 9.58461... | 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 | 2 | {"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];
cx q[1], q[0];
rz(0.0247) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0247) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0247) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0247) q[0];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
-4670749010918333584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [0, 2, 4, 5, 6], [0, 1, 2, 4, 7], [2, 3, 4]]} | {"states": [181, 119], "expectation_value": -0.23949233980550028, "params": [[-0.2594], [0.2751]], "bitstrings": ["01001010", "10001000"], "total_optimization_steps": 30, "probabilities": [0.0053582480052228685, 0.005358490005365805], "optimization_time": 3.599477529525757} | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(0)) + 0.02380952380... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.9238095238095236, "smallest_bitstrings":... | 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(-0.0383) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0124) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0124) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0383) q[4];
cx q[1], q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 25.220879554748535} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
cry(-1.5681) q[5], q[0];
ry(1.1029) q[5];
ry(-0.5495) q[0];
cry(1.5626) q[4], q[3];
cry(1.2298) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(0.3619) q[2], q[5];
ry(-0.4373) q[2];
cry(0.4548) q[4], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
84dcff3fa5f1cb1271083d4a9838c54d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [0, 511], "expectation_value": -26.511464379590734, "params": [[[0.0023, -0.22890000000000002], [0.0049, -0.0027], [-0.0026000000000000003, -0.0029000000000000002], [0.005, 0.0028], [0.0034000000000000002, 0.0023], [0.0048000000000000004, 0.0019], [0.0025, 0.0019], [0.0014, 0.0026000000000000003], [0.0022, 0... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0023) q[0];
ry(0.0049) q[1];
ry(-0.0026) q[2];
ry(0.005) q[3];
ry(0.0034) q[4];
ry(0.0048) q[5];
ry(0.0025) q[6];
ry(0.0014) q[7];
ry(0.0022) q[8];
ry(1.5593) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | 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": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 22.453867435455322} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "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(1.5708) q[3];
cry(1.5158) q[5], q[4];
ry(1.3013) q[2];
cry(1.0459) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2314) q[4], q[0];
ry(0.2593) q[0];
cry(0.2354) q[3], q[2];
ry(0.0828) q[5];
ry(0.0793) q[4];
cry(0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
a43d49479c18c4b079779bf0388b8725 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [424, 426], "expectation_value": -31.551839983171956, "params": [[[-1.1713, 1.1300000000000001], [0.3481, 2.0551], [0.6917, -0.0745], [1.7036, -0.006], [1.3043, 0.9739000000000001], [2.1532, 0.5623], [2.1619, 1.9563000000000001], [-0.5678000000000001, 0.9653], [0.2155, 2.1945], [1.0007000000000001, 1.2631000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(9)) + 0.5 * Z(0) + 14.5 * Z(1) + 13.0 * Z(4) + 6.5 * Z(3) + 11... | 15 | 10 | 1 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.1713) q[0];
ry(0.3481) q[1];
ry(0.6917) q[2];
ry(1.7036) q[3];
ry(1.3043) q[4];
ry(2.1532) q[5];
ry(2.1619) q[6];
ry(-0.5678) q[7];
ry(0.2155) q[8];
ry(1.0007) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 48615], "expectation_value": -15.691807511481068, "params": [[-0.09860000000000001, -0.07010000000000001, -0.0746, -0.06720000000000001], [0.1145, 0.0937, 0.1136, 0.134]], "bitstrings": ["0100000100101000", "0100001000011000"], "total_optimization_steps": 20, "probabilities": [0.001866869652866769, 0... | 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(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0100001000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[2], q[0];
rz(-0.0986) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0986) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0986) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} |
d2ab62c933304b5c3d761f042e65d199 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1581, 1613], "expectation_value": -8.457547078904769, "params": [[[0.0004, 1.369, 0.007, 0.008], [-0.1463, 1.2412, -0.009300000000000001, 0.0079], [0.8768, -0.0158, 0.0092, -0.0118], [0.21610000000000001, -0.0161, 0.9576, 0.0097], [0.0021000000000000003, 1.3337, 0.0095, 1.3365], [-0.013900000000000001, 0.27... | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 12 | 13 | 4 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0004) q[0];
rz(1.369) q[0];
ry(-0.1463) q[1];
rz(1.2412) q[1];
ry(0.8768) q[2];
rz(-0.0158) q[2];
ry(0.2161) q[3];
rz(-0.0161) q[3];
ry(0.0021) q[4];
rz(1.3337) q[4];
ry(-0.0139) q[5];
rz(0.2727) q[5];
ry(0.691) q[6];
rz(0.0112) q[6];
ry(0.0162) 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... | {"source": 0, "sink": 5} | {"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": [920, 921], "expectation_value": -2.7046049522256905, "params": [0.38520000000000004, 0.3806, 0.395, 0.3899, 0.3941, 0.38780000000000003, -0.0012000000000000001, -0.0041, 0.0604, 0.0623, 0.3996, 0.3931, 0.39390000000000003, 0.39440000000000003, -0.0039000000000000003, 0.004, 0.0009000000000000001, 0.0083, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 14 | 10 | 4 | {"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(0.3852) q[0];
ry(0.395) q[1];
ry(0.3941) q[2];
ry(-0.0012) q[3];
ry(0.0604) q[4];
ry(0.3996) q[5];
ry(0.3939) q[6];
ry(-0.0039) q[7];
ry(0.0009) q[8];
ry(0.1963) q[9];
crx(0.2532) q[9], q[0];
crx(0.0742) q[8], q[9];
crx(-0.0834) q[7], q[8];
crx(-0.0324) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-115130958860663335 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [4, 6], [3, 4], [0, 7], [0, 3], [0, 1], [1, 5], [8, 6], [1, 3], [6, 7], [0, 8], [8, 5], [8, 7], [0, 2], [2, 6], [3, 7], [2, 5], [4, 7], [1, 4], [3, 6], [8, 3]]} | {"states": [270, 284], "expectation_value": -4.994832683105009, "params": null, "bitstrings": ["011110001", "011100011"], "total_optimization_steps": 87, "probabilities": [0.08712374490381103, 0.7807994958910319], "optimization_time": 201.8070375919342} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011100", "011100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[3];
cry(-1.0342) q[6], q[2];
ry(1.0293) q[6];
cry(1.4052) q[6], q[5];
cry(-0.9035) q[5], q[2];
cry(1.5176) q[5], q[0];
cry(-1.3552) q[5], q[8];
cry(-1.5449) q[5], q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
d9691fcf746f1d3057f71d50dcf6c27b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [680, 682], "expectation_value": -17.312041848661647, "params": [[[0.4918, 0.6691], [0.2891, 0.4772], [0.7086, 0.6913], [-0.0806, 0.6901], [0.7070000000000001, 0.6979000000000001], [0.2589, 0.7077], [0.7048, 0.6991], [0.18910000000000002, 0.7023], [0.7001000000000001, 0.6959000000000001], [0.7039000000000001... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(9)) + 8.5 * Z(0) + 5.0 * Z(1) + 7.0 * Z(2) + -4.0 * Z(3) + 7.0 * Z(4) + 15.0 * Z(6) + 3.5 * Z(5) + 4.5 * Z(9) + 10.0 * Z(8) + -1... | 15 | 10 | 2 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["0101010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4918) q[0];
ry(0.2891) q[1];
ry(0.7086) q[2];
ry(-0.0806) q[3];
ry(0.707) q[4];
ry(0.2589) q[5];
ry(0.7048) q[6];
ry(0.1891) q[7];
ry(0.7001) q[8];
ry(0.7039) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-3173261753743397568 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [1, 5], [2, 3], [3, 5]]} | {"states": [22, 54], "expectation_value": -1.6055805587157261, "params": null, "bitstrings": ["101001", "001001"], "total_optimization_steps": 34, "probabilities": [0.15341133558520725, 0.740717130081814], "optimization_time": 31.220186948776245} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010100", "001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[5];
ry(1.2415) q[1];
cry(-0.5023) q[1], q[5];
ry(1.1385) q[3];
cry(-1.3465) q[3], q[2];
ry(-0.4317) q[5];
cry(0.2758) q[1], q[3];
cry(0.3077) q[3], q[1];
ry(0.5496) q[4];
cry(0.4145) q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
0cfc31894cbb21dc81348893cd71afd2 | 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": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [383, 1023], "expectation_value": -1.5930485556805631, "params": [[0.0356], [-0.0368]], "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001399250511538278, 0.001399250511538278], "optimization_time": 3.4412288665771484} | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + -4.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-42.0, -42.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -41.0, "smallest_bitstrings": ["0000000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(-0.1068) q[0];
cx q[2], q[0];
cx q[5], q[3];
rz(-0.178) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(0.0356) q[6];
cx q[5], q[6];
cx q[3], q[6];
rz(-0.2492) 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;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 1} | {"circuits": [], "gradients": []} |
1b25290ab1e43a1b592d31250319712f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [509, 1020], "expectation_value": -16.900730143297306, "params": [[[-1.247, 2.2027], [-0.002, 0.8375], [0.0019, 0.0019], [0.002, 0.0017000000000000001], [-0.0026000000000000003, 0.0017000000000000001], [0.0023, 0.0022], [0.0021000000000000003, 0.0021000000000000003], [0.0027, 0.0026000000000000003], [0.6398,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 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) + 0.5 * Z(7) + -1.0 * Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.247) q[0];
ry(-0.002) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(-0.0026) q[4];
ry(0.0023) q[5];
ry(0.0021) q[6];
ry(0.0027) q[7];
ry(0.6398) q[8];
ry(0.8332) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} |
cd55386261459e93e7dcecce946f4932 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 8}, {"weight": ... | {"states": [235, 234], "expectation_value": -84.40159744994446, "params": [-0.0035, -0.3647, -0.00030000000000000003, -0.3682, 0.2696, -0.09530000000000001, 0.2679, -0.108, 0.4894, 0.0838, 0.4914, 0.0658, 0.4994, 0.1047, 0.499, 0.0443, 0.4973, 0.0838, 0.4964, 0.0316, 0.1913, -0.137, 0.1915, -0.1504, 0.4978, 0.0804, 0.4... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 18.0 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0035) q[0];
rz(-0.3647) q[0];
rx(0.2696) q[1];
rz(-0.0953) q[1];
rx(0.4894) q[2];
rz(0.0838) q[2];
rx(0.4994) q[3];
rz(0.1047) q[3];
rx(0.4973) q[4];
rz(0.0838) q[4];
rx(0.1913) q[5];
rz(-0.137) q[5];
rx(0.4978) q[6];
rz(0.0804) q[6];
rx(0.0937) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.5241021493496307, "params": [[0.0757, 0.07780000000000001, 0.0738], [-0.0777, -0.0821, -0.07780000000000001]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.05107992963620889, 0.054879876199215], "optimization_time": 2.662358045578003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | 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(0.0757) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0757) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0757) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0757) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.0757) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.53182564352058, "params": [[[-0.0027, -0.23090000000000002], [-0.0031000000000000003, -0.20550000000000002], [-0.0086, 0.19720000000000001], [0.39590000000000003, -0.001]], [[-0.0022, -0.22660000000000002], [0.0011, 0.1882], [-0.0048000000000000004, 0.1967], [0.396900000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.0027) q[0];
rz(-0.2309) q[0];
rx(-0.0031) q[1];
rz(-0.2055) q[1];
rx(-0.0086) q[2];
rz(0.1972) q[2];
rx(0.3959) q[3];
rz(-0.001) q[3];
rx(-0.0022) q[0];
rz(-0.2266) q[0];
rx(0.0011) q[1];
rz(0.1882) q[1];
rx(-0.0048) q[2];
rz(0.1967) q[2];
rx(0.3969) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 1.4054861068725586} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[1];
ry(-1.5708) q[2];
ry(-1.5642) q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nry(-1.5708)... |
7612844348063935763 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [0, 2, 4], [3, 5, 7], [0, 1], [5, 6, 7], [1, 6]]} | {"states": [179, 155], "expectation_value": -0.032660448262948026, "params": [[-0.0545], [0.059300000000000005]], "bitstrings": ["01001100", "01100100"], "total_optimization_steps": 10, "probabilities": [0.004109777679188441, 0.004109777679188443], "optimization_time": 0.6255435943603516} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.1666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.0182) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.0363) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.0182) q[6];
cx q[0], q[6];
cx q[0], q[2];
rz(-0.0182) 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] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [127, 61], "expectation_value": -1.2645619088686884, "params": [[-0.17550000000000002], [0.1694]], "bitstrings": ["10000000", "11000010"], "total_optimization_steps": 20, "probabilities": [0.01112082770711658, 0.011590283617444113], "optimization_time": 2.610971689224243} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"]} | 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(0.1755) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.2633) q[7];
cx q[0], q[7];
cx q[1], q[5];
rz(0.0878) q[5];
cx q[1], q[5];
cx q[7], q[5];
rz(0.1755) q[5];
cx q[7], q[5];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | 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": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.04888337459173561, "params": [[-0.0358], [0.045000000000000005]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00826988086582255, 0.008322244307761668], "optimization_time": 1.9763152599334717} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0358) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0179) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.0358) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.0358) q[4];
cx q[2], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b2ad92d1453e889b732cbfcfd082cd41 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [138, 142], "expectation_value": -4.102782167415909, "params": [[0.5943, -0.012400000000000001, -0.0077, 0.0066, 0.7982, 0.3492, 0.79, 0.15080000000000002], [0.7246, -0.0037, -0.0043, 0.0004, 0.5904, -0.201, 0.7424000000000001, 0.07010000000000001], [0.5239, 0.0029000000000000002, -0.0047, 0.0053, 0.79870000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01110001", "10001110", "11100100", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5943) q[0];
ry(-0.0124) q[1];
ry(-0.0077) q[2];
ry(0.0066) q[3];
ry(0.7982) q[4];
ry(0.3492) q[5];
ry(0.79) q[6];
ry(0.1508) 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];
cz q[0], q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [175, 239], "expectation_value": -1.6383077204310175, "params": [0.8033, -0.0026000000000000003, 0.7991, -0.0017000000000000001, 0.8043, 0.008400000000000001, 0.0022, -0.5152, 0.8081, 0.0036000000000000003, 0.8064, -0.0035, 0.8091, -0.0036000000000000003, 0.8083, 0.0036000000000000003, 0.8075, 0.005200000000... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8033) q[0];
rz(-0.0026) q[0];
rx(0.7991) q[1];
rz(-0.0017) q[1];
rx(0.8043) q[2];
rz(0.0084) q[2];
rx(0.0022) q[3];
rz(-0.5152) q[3];
rx(0.8081) q[4];
rz(0.0036) q[4];
rx(0.8064) q[5];
rz(-0.0035) q[5];
rx(0.8091) q[6];
rz(-0.0036) q[6];
rx(0.8083) 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": 3} | {"circuits": [], "gradients": []} |
7665cfac8ba5e6744a93d2876ad51618 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"sour... | {"states": [85, 93], "expectation_value": -6.016674631112511, "params": [[0.0021000000000000003, 0.0034000000000000002, 1.5877000000000001, 0.0033, 1.5834000000000001, 0.0466, 1.5836000000000001, 0.0029000000000000002, 1.5815000000000001], [0.0022, 0.0019, 1.5876000000000001, 0.0016, 1.5857, 1.6081, 1.5848, -0.003, 1.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + -1.5 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -... | 10 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0021) q[0];
ry(0.0034) q[1];
ry(1.5877) q[2];
ry(0.0033) q[3];
ry(1.5834) q[4];
ry(0.0466) q[5];
ry(1.5836) q[6];
ry(0.0029) q[7];
ry(1.5815) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.908572527452257, "params": [-0.5651, 0.3121, -0.4964, 0.6971, -0.5191, 0.8854000000000001, -0.3546, 0.9934000000000001, -0.46330000000000005, 0.8434, -0.4116, 0.9808, -0.523, -0.3347, -0.5283, 0.0361, 0.01, 0.533, -0.007500000000000001, 0.797, -0.0066, 0.5231, -0.0004, 0.78... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.5651) q[0];
rz(0.3121) q[0];
rx(-0.5191) q[1];
rz(0.8854) q[1];
rx(-0.4633) q[2];
rz(0.8434) q[2];
rx(-0.523) q[3];
rz(-0.3347) q[3];
rx(0.01) q[4];
rz(0.533) q[4];
rx(-0.0066) q[5];
rz(0.5231) q[5];
rx(-0.0073) q[6];
rz(0.3777) q[6];
rx(0.0058) 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": []} |
-3897479232097662972 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 6], [0, 1, 2, 4], [1, 2, 5, 6], [1, 3, 4], [0, 4, 5, 6], [2, 3, 4, 5, 6]]} | {"states": [107, 122], "expectation_value": -0.06471978293674173, "params": [[-0.0873], [0.08080000000000001]], "bitstrings": ["0010100", "0000101"], "total_optimization_steps": 10, "probabilities": [0.008244956501754113, 0.008245126041503677], "optimization_time": 0.781447172164917} | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["0000101"]} | 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(-0.0233) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0175) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0087) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.032) q[4];
cx q[2], 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] 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": []} |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 69], "expectation_value": -1.0242660484580108, "params": [[0.049600000000000005, 0.066, 0.07100000000000001], [-0.0308, -0.045700000000000005, -0.051800000000000006]], "bitstrings": ["0011101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.012081074414828566, 0.012083110969224622], "op... | 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 | 3 | {"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;
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(0.0496) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0496) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0496) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0496) q[1];
cx q[2], q[1];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
621c775e3dd2297f9f74eee0214c8452 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [120, 122], "expectation_value": -3.3386741989610416, "params": [0.1149, -0.194, 0.5021, -0.004, 0.49970000000000003, 0.002, 0.5044000000000001, 0.0051, 0.5044000000000001, 0.0017000000000000001, 0.44830000000000003, 0.0033, 0.5021, -0.0123, 0.2464, -0.116, 0.1184, -0.12430000000000001, 0.5057, 0.0132, 0.509... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + -1.5 * Z(5) + -0.5 * Z(4) + -1.0 * Z(7) + -0.5 * Z(6) | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1149) q[0];
rz(-0.194) q[0];
rx(0.5021) q[1];
rz(-0.004) q[1];
rx(0.4997) q[2];
rz(0.002) q[2];
rx(0.5044) q[3];
rz(0.0051) q[3];
rx(0.5044) q[4];
rz(0.0017) q[4];
rx(0.4483) q[5];
rz(0.0033) q[5];
rx(0.5021) q[6];
rz(-0.0123) q[6];
rx(0.2464) 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": []} |
7937964206068771899 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [0, 4, 6], [0, 2, 4, 5, 8], [8, 1, 2, 4], [8, 5, 7], [0, 1, 2, 4], [0, 7]]} | {"states": [429, 493], "expectation_value": -1.900388211975884, "params": [1.4821, -0.0567, 1.4451, 0.0026000000000000003, 1.4845000000000002, 0.0931, 1.4829, 0.003, 1.3835000000000002, -0.30970000000000003, 0.8156, 0.005, 1.4899, 0.0971, 1.4897, 0.008, 0.9537, -0.3748, 0.8510000000000001, 0.0051, 1.5004000000000002, 0... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.116666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1166666666666663, "smallest_bitstrings": ["000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4821) q[0];
rz(-0.0567) q[0];
rx(1.4845) q[1];
rz(0.0931) q[1];
rx(1.3835) q[2];
rz(-0.3097) q[2];
rx(1.4899) q[3];
rz(0.0971) q[3];
rx(0.9537) q[4];
rz(-0.3748) q[4];
rx(1.5004) q[5];
rz(0.0182) q[5];
rx(1.4836) q[6];
rz(0.0784) q[6];
rx(0.411) 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": []} |
c50c35688e3077b743569b2e8fe6823e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [12, 268], "expectation_value": -6.516086304773114, "params": [[[1.604, -0.0054, 0.0038, 0.009000000000000001], [0.0125, -0.006200000000000001, -0.018000000000000002, 0.0012000000000000001], [0.4716, 0.0031000000000000003, -0.47790000000000005, 0.006500000000000001], [0.0032, -0.3946, 0.0031000000000000003, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) ... | 11 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101111", "010101111", "011110011", "011100111", "111100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.604) q[0];
rz(-0.0054) q[0];
ry(0.0125) q[1];
rz(-0.0062) q[1];
ry(0.4716) q[2];
rz(0.0031) q[2];
ry(0.0032) q[3];
rz(-0.3946) q[3];
ry(-0.0144) q[4];
rz(0.0023) q[4];
ry(-0.0029) q[5];
rz(0.0494) q[5];
ry(1.5863) q[6];
rz(0.0017) q[6];
ry(-0.9227) 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": []} |
-5786968754667279962 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 3, 8, 12], [0, 1, 2, 3, 5, 10], [1, 2, 5, 6, 8, 11], [11, 12], [2, 3, 5, 9, 10, 12], [1, 3, 4, 5, 7, 10, 11], [2, 4], [0, 3, 6, 9, 11], [0, 1, 3, 4, 5, 7, 8, 10], [0, 1, 2, 6, 9], [11, 1, 10, 2], [1, 2, 7, 8, 11], [12, 6, 7], [0, 1, 3, 4, 6, 8,... | {"states": [3834, 5882], "expectation_value": -5.6436820156234235, "params": [0.1519, -0.0227, 0.4702, 0.0002, 1.9052, -0.0575, 1.593, 0.037000000000000005, 1.5728, -0.0024000000000000002, 1.5632000000000001, 0.0083, 1.5669000000000002, 0.0022, 1.5799, -0.0021000000000000003, -0.0218, -0.0037, 0.026600000000000002, 0.0... | 0.275 * (Z(0) @ Z(1)) + 0.22261904761904763 * (Z(3) @ Z(1)) + 0.17500000000000002 * (Z(3) @ Z(0)) + 0.275 * (Z(8) @ Z(1)) + 0.18928571428571428 * (Z(8) @ Z(0)) + 0.22499999999999998 * (Z(8) @ Z(3)) + 0.1 * (Z(12) @ Z(1)) + 0.1 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(3)) + 0.23333333333333334 * (Z(12) @ Z(8)) + 0.35 * (Z(2... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.689285714285714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.651190476190474, "smallest_bitstrings": ["0100100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.1519) q[0];
rz(-0.0227) q[0];
rx(1.9052) q[1];
rz(-0.0575) q[1];
rx(1.5728) q[2];
rz(-0.0024) q[2];
rx(1.5669) q[3];
rz(0.0022) q[3];
rx(-0.0218) q[4];
rz(-0.0037) q[4];
rx(1.8941) q[5];
rz(-0.0857) q[5];
rx(1.5669) q[6];
rz(0.003) q[6];
rx(1.1516) 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": []} |
a6494651245db8e763406aada5f3f79f | 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": [966, 710], "expectation_value": -116.52893384047856, "params": [[[0.801, 0.2225], [0.783, 0.3109], [0.3517, 0.1746], [0.5364, 0.1784], [0.7767000000000001, 0.34140000000000004], [-0.1534, 0.1825], [0.2998, 0.0188], [0.09140000000000001, 0.1809], [-0.0334, 0.7921], [-0.09920000000000001, 0.498], [0.2525, 0.0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 0.5 * Z(0) +... | 15 | 11 | 4 | {"smallest_eigenvalues": [-134.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["10100111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.801) q[0];
ry(0.783) q[1];
ry(0.3517) q[2];
ry(0.5364) q[3];
ry(0.7767) q[4];
ry(-0.1534) q[5];
ry(0.2998) q[6];
ry(0.0914) q[7];
ry(-0.0334) q[8];
ry(-0.0992) q[9];
ry(0.2525) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
a72353b3f3d39b66b1e7bcbe39a68bf2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [496, 510], "expectation_value": -12.48813634668828, "params": null, "bitstrings": ["000001111", "000000001"], "total_optimization_steps": 100, "probabilities": [0.06587773099345184, 0.5128983846247117], "optimization_time": 214.92418122291565} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[2], q[3];
cry(1.5708) q[3], q[0];
cry(0.7959) q[0], q[2];
cry(1.5709) q[0], q[1];
cry(-0.7959) q[0], q[3];
cry(-0.0448) q[1], q[3];
ry(-0.1289) q[3];
cry(1.2567) q[8], q[3];
... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 29], "expectation_value": -6.805638553473974, "params": [-0.0043, 1.3061, 0.224, 1.0334, 0.44, 1.3229, 0.7170000000000001, 1.2064000000000001, 0.0007, 2.0147, 1.0428, -0.0021000000000000003, 0.0058000000000000005, 1.6583, -0.065, 0.8469, -0.021500000000000002, 0.9428000000000001, 0.7229, 2.6118, -0.00030... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 4 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0043) q[0];
rz(1.3061) q[0];
rx(0.224) q[1];
rz(1.0334) q[1];
rx(0.44) q[2];
rz(1.3229) q[2];
rx(0.717) q[3];
rz(1.2064) q[3];
rx(0.0007) q[4];
rz(2.0147) q[4];
rx(1.0428) q[5];
rz(-0.0021) q[5];
crx(-0.0064) q[5], q[4];
crx(-1.4296) q[4], q[3];
crx(1.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
16d309fbf50eb3de0ab671378ee18bce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -4.50377296006913, "params": [[0.075, 0.0699, 0.0712], [-0.07930000000000001, -0.0606, -0.0673]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.016654761915947447, 0.016941715988418045], "optimization_time": 5.113134860992432} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0375) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0375) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.225) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.2625) 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] 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": []} |
e087bb7a2ab5b6cd6822b49db98164ad | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [11, 63], "expectation_value": -2.3054282545983416, "params": [[0.0729, 0.06960000000000001, 0.0766, 0.06420000000000001], [-0.0742, -0.0632, -0.07390000000000001, -0.0614]], "bitstrings": ["1110100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.023670498256622843, 0.023763610221330073], "... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "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[4], q[0];
rz(-0.0729) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0729) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.1823) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.1094) q[2];
cx q[4], q[2];
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": []} |
d5c9e2c60adcce2a7bd44a74474e515b | 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": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [187, 185], "expectation_value": -1.1468682165527913, "params": [0.0995, 0.1044, 1.0007000000000001, 0.9984000000000001, 0.1194, 0.1153, 0.9995, 1.0012, 0.9994000000000001, 0.993, 1.0068000000000001, 1.0039, 0.35700000000000004, 0.3567, 0.7618, 0.7615000000000001, 0.9991000000000001, 0.9979, 0.2378, 0.005800... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ 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(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0995) q[0];
ry(1.0007) q[1];
ry(0.1194) q[2];
ry(0.9995) q[3];
ry(0.9994) q[4];
ry(1.0068) q[5];
ry(0.357) q[6];
ry(0.7618) q[7];
ry(0.9991) q[8];
crz(0.2378) q[8], q[0];
crz(-0.2458) q[7], q[8];
crz(0.2888) q[6], q[7];
crz(-0.3054) q[5], q[6];
crz(-0.298... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [18, 26], "expectation_value": -1.9791315645858256, "params": [0.0019, -0.1562, 0.0025, -0.1549, 0.20120000000000002, 0.0049, 0.2049, 0.001, 0.2056, -0.0038, 0.19690000000000002, -0.006500000000000001, 0.0036000000000000003, -0.1527, 0.0022, -0.1471, 0.2033, -0.0026000000000000003, 0.2036, -0.0076, 0.1158, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 5 | 6 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0019) q[0];
rz(-0.1562) q[0];
rx(0.2012) q[1];
rz(0.0049) q[1];
rx(0.2056) q[2];
rz(-0.0038) q[2];
rx(0.0036) q[3];
rz(-0.1527) q[3];
rx(0.2033) q[4];
rz(-0.0026) q[4];
rx(0.1158) q[5];
rz(0.0714) q[5];
crz(-0.0122) q[5], q[4];
crz(-0.0222) q[5], q[3];
cr... | 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": []} |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.7952086341846248, "params": [[-0.0465, -0.0448, -0.0492, -0.0456], [0.058600000000000006, 0.0577, 0.0557, 0.0563]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.0535982021485611, 0.05814828281732292], "optimization_time": 4.0107042789... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.0232) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0232) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0465) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.1395) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0232) 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553516, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 33.085434675216675} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(1.5708) q[3];
cry(-1.5708) q[5], q[0];
ry(1.1112) q[5];
cry(-0.5795) q[3], q[0];
cry(1.5705) q[5], q[1];
cry(0.266) q[1], q[5];
cry(1.4945) q[3], q[2];
cry(-0.0917) q[1], q[0];
cry(-0.0613) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9d1382902993d8e771af3489e0021226 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [250, 467], "expectation_value": -0.14224853850194324, "params": [[-0.0517, -0.0606], [0.06470000000000001, 0.0719]], "bitstrings": ["100000101", "000101100"], "total_optimization_steps": 10, "probabilities": [0.0026313572892423687, 0.00263135728924237], "optimization_time": 6.810373544692993} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | 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(-0.0129) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0129) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0129) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0129) q[1];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
-6452688707045364778 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3], [1, 2, 4], [0, 2, 5], [5, 6], [2, 6], [4, 6], [2, 3]]} | {"states": [54, 86], "expectation_value": -0.03954704895140543, "params": [[0.0597], [-0.0575]], "bitstrings": ["1001001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008261413699479738, 0.008261413699479747], "optimization_time": 1.863466739654541} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001001", "0101001", "1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0199) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0199) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0199) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0199) q[2];
cx q[1], q[2];
cx q[0], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
d2d6210032a3bac3f87e7e8b6a950d90 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.1263769269142882, "params": [[0.0109, -0.0363], [-0.0334, 0.0298]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0021744251784107144, 0.00218380861172426], "optimization_time": 10.262633800506592} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.0054) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0163) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0054) q[5];
cx q[0], q[5];
cx q[3], q[7];
rz(-0.0054) q[7];
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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
eea3b85f6c338196bfcd99350b0e2d9a | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [9, 73], "expectation_value": -4.04439593078436, "params": [0.4017, 0.0091, 0.1613, 0.2106, -0.015700000000000002, 0.225, 0.40590000000000004, 0.11270000000000001, 0.15380000000000002, 0.22340000000000002, -0.0149, 0.224, 0.4057, 0.10350000000000001, 0.4062, 0.0188, 0.1623, 0.223, -0.0152, 0.2325, 0.4027, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(5) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110110", "1010110", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4017) q[0];
rz(0.0091) q[0];
rx(0.1613) q[1];
rz(0.2106) q[1];
rx(-0.0157) q[2];
rz(0.225) q[2];
rx(0.4059) q[3];
rz(0.1127) q[3];
rx(0.1538) q[4];
rz(0.2234) q[4];
rx(-0.0149) q[5];
rz(0.224) q[5];
rx(0.4057) q[6];
rz(0.1035) q[6];
crz(0.1987) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
34667f924e7bb7a2c34c990114b7b4c9 | 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": [231, 199], "expectation_value": -62.119872373169684, "params": [0.0021000000000000003, 0.4147, 0.3758, 0.1174, 0.5965, 0.0045000000000000005, 0.5954, -0.0049, 0.3815, -0.095, 0.38420000000000004, -0.10360000000000001, -0.0007, 0.36100000000000004, 0.5975, 0.1721, 0.5957, 0.028200000000000003, 0.5953, 0.0054... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(5)) + 16.5 * Z(3) + 24.5 * Z(2) + 4.5 * Z(1) + 4.5 * Z(5) + -7.0 * Z(6) + 7.0 * Z(7) + 5.0 * Z(4) + 9.5 * ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1100111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0021) q[0];
rz(0.4147) q[0];
rx(0.3758) q[1];
rz(0.1174) q[1];
rx(0.5965) q[2];
rz(0.0045) q[2];
rx(0.5954) q[3];
rz(-0.0049) q[3];
rx(0.3815) q[4];
rz(-0.095) q[4];
rx(0.3842) q[5];
rz(-0.1036) q[5];
rx(-0.0007) q[6];
rz(0.361) q[6];
rx(0.5975) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
3517103073386853469 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 4, 5], [1, 2, 3, 4, 5], [0, 1], [0, 2, 3]]} | {"states": [30, 39], "expectation_value": -0.025006237056847194, "params": [[0.0666], [-0.07010000000000001]], "bitstrings": ["100001", "011000"], "total_optimization_steps": 10, "probabilities": [0.016188909377542894, 0.016223501840575635], "optimization_time": 2.097963571548462} | 0.25 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(5)) + 0.21666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["011000"]} | 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(0.0333) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0178) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0111) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.0178) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0111... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
1536b63d241483fb5dc02588be4ba19b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [446, 318], "expectation_value": -1.3545514207072056, "params": [0.17370000000000002, 0.1743, 0.9055000000000001, 0.9107000000000001, 0.7557, 0.5760000000000001, 0.6581, 0.5217, 0.9095000000000001, 0.9023, 0.9026000000000001, 0.9053, 0.9083, 0.8997, 0.8998, 0.899, 0.9047000000000001, 0.9087000000000001, 0.29... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1001001001", "1110000001", "1001010001", "1010010001", "1001001100", "1001001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1737) q[0];
ry(0.9055) q[1];
ry(0.7557) q[2];
ry(0.6581) q[3];
ry(0.9095) q[4];
ry(0.9026) q[5];
ry(0.9083) q[6];
ry(0.8998) q[7];
ry(0.9047) q[8];
ry(0.2914) q[9];
crx(0.2383) q[9], q[0];
crx(-0.0043) q[8], q[9];
crx(0.615) q[7], q[8];
crx(0.884) 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": []} |
93b5fdbd1569d891d55cdc3dac937bfb | 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": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [134, 198], "expectation_value": -1.7051052602259682, "params": [0.20320000000000002, 0.2054, 0.20550000000000002, 0.1971, 0.029300000000000003, 0.036500000000000005, 0.11760000000000001, 0.1179, 0.1315, 0.132, 0.19870000000000002, 0.2039, 0.20470000000000002, 0.20220000000000002, 0.11720000000000001, 0.1173... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(6) + -0.5 * Z(4) + 0.0 * Z(5) | 13 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101001", "00111001", "00110101", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2032) q[0];
ry(0.2055) q[1];
ry(0.0293) q[2];
ry(0.1176) q[3];
ry(0.1315) q[4];
ry(0.1987) q[5];
ry(0.2047) q[6];
ry(0.1172) q[7];
crz(-0.0896) q[7], q[0];
crz(-0.0907) q[6], q[7];
crz(-0.0593) q[5], q[6];
crz(0.0461) q[4], q[5];
crz(0.0195) q[3], q[4];
c... | 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": []} |
0df4df25c74ca38eb293288a64f6d090 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 180.9265842437744} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[5];
ry(-5.0831) q[3];
ry(0.2364) q[4];
cry(0.3246) q[5], q[4];
ry(0.0001) q[7];
cry(0.0011) q[5], q[7];
ry(0.0002) q[1];
cry(0.001) q[5], q[1];
cry(0.1278) q[3], q[7];
cry(0.1327) q[3... | 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(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
cad641d981f27f8814cde398a8be85de | 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}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [152, 156], "expectation_value": -39.659653490943214, "params": [[[0.9006000000000001, -0.0023], [0.2781, 0.30920000000000003], [0.16870000000000002, 0.3743], [0.9012, 0.0007], [0.8975000000000001, 0.0036000000000000003], [0.5395, 0.0117], [0.0869, 0.39330000000000004], [-0.0023, 0.6568]], [[0.9018, 0.0023],... | 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(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 2.5 * Z(0) + 3.0 * Z(3) + 1.5 * Z(1) + -1.0 * Z(2) + -2.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-48.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.0, "smallest_bitstrings": ["01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9006) q[0];
rz(-0.0023) q[0];
rx(0.2781) q[1];
rz(0.3092) q[1];
rx(0.1687) q[2];
rz(0.3743) q[2];
rx(0.9012) q[3];
rz(0.0007) q[3];
rx(0.8975) q[4];
rz(0.0036) q[4];
rx(0.5395) q[5];
rz(0.0117) q[5];
rx(0.0869) q[6];
rz(0.3933) q[6];
rx(-0.0023) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
2150338244522249270 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2]]} | {"states": [2, 10], "expectation_value": -0.45665024088846684, "params": null, "bitstrings": ["1101", "0101"], "total_optimization_steps": 17, "probabilities": [0.09375511611924202, 0.44013947087863636], "optimization_time": 8.885868072509766} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666666, "smallest_bitstrings": ["0101"]} | 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(1.2292) q[2];
cry(-0.3842) q[0], q[1];
cry(-0.3842) q[0], q[3];
ry(0.346) q[0];
cry(-0.2438) q[3], q[0];
cry(-0.2229) q[1], q[0];
cry(0.1795) q[2], q[0];
cry(-0.1834) q[2], q[1];
cry(-0.182) q[2], q[3];
cry(0.1318) q[0], 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(1.2292) 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];\n... |
9106470436006913530 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]} | {"states": [18, 22], "expectation_value": -2.1957919952703504, "params": null, "bitstrings": ["101101", "101001"], "total_optimization_steps": 38, "probabilities": [0.39745165547516664, 0.41973806078770864], "optimization_time": 36.96464276313782} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101001", "100101", "010010", "101101", "010110", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[1], q[2];
cry(-1.0342) q[4], q[5];
ry(1.0293) q[4];
cry(1.0886) q[4], q[1];
cry(-0.9157) q[4], q[2];
cry(-0.8992) q[1], q[5];
cry(-1.3336) q[4], q[0];
ry(0.3925) q[1];
cry(0.2781) q[1], q[4];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[1], 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];\n", "OPENQASM 3.0;\ninclude ... |
21fdcfba9f355063e6fbbfbffe2b9aba | 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": [238, 234], "expectation_value": -75.99742576025656, "params": [0.6709, 0.343, 1.3926, 0.0017000000000000001, 1.3986, 0.0011, 1.3892, 0.2134, 0.3804, 0.5231, 1.3995, 0.21960000000000002, 0.7533000000000001, 0.43970000000000004, 1.3965, 0.07200000000000001, 0.0027, 1.0402, 0.674, 0.0016, 1.3988, 0.00030000000... | 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 8.0 * Z(0) + 14.0 * Z(3) + 25.0 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6709) q[0];
rz(0.343) q[0];
rx(1.3926) q[1];
rz(0.0017) q[1];
rx(1.3986) q[2];
rz(0.0011) q[2];
rx(1.3892) q[3];
rz(0.2134) q[3];
rx(0.3804) q[4];
rz(0.5231) q[4];
rx(1.3995) q[5];
rz(0.2196) q[5];
rx(0.7533) q[6];
rz(0.4397) q[6];
rx(1.3965) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.7286648454919866, "params": [[-0.036500000000000005, -0.0247, -0.0514], [0.0449, 0.0262, 0.051500000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0058851011219851045, 0.0061563638334826394], "optimization_time": 4.... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0183) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0913) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0183) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0548) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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": [36, 26], "expectation_value": -0.08720587508398578, "params": [[-0.045200000000000004], [0.054400000000000004]], "bitstrings": ["011011", "100101"], "total_optimization_steps": 10, "probabilities": [0.016399730267398847, 0.01655901211340782], "optimization_time": 1.1186316013336182} | 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 | 1 | {"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(-0.0452) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0452) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0452) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0452) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
e406f122c9b00528f4ddd8dd03d61067 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [844, 846], "expectation_value": -3.1283728611352015, "params": [0.49620000000000003, 0.496, 0.49570000000000003, 0.4973, 0.10060000000000001, 0.098, 0.49470000000000003, 0.4884, 0.0303, 0.030500000000000003, -0.0006000000000000001, -0.004200000000000001, 0.49610000000000004, 0.49660000000000004, 0.501, 0.49... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 13 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["0100110001", "0010110001", "0010110010", "0101010001", "1000110001", "0011010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4962) q[0];
ry(0.4957) q[1];
ry(0.1006) q[2];
ry(0.4947) q[3];
ry(0.0303) q[4];
ry(-0.0006) q[5];
ry(0.4961) q[6];
ry(0.501) q[7];
ry(0.3127) q[8];
ry(0.0518) q[9];
crz(0.2666) q[9], q[0];
crz(0.191) q[8], q[9];
crz(0.007) q[7], q[8];
crz(-0.0175) q[6],... | 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": []} |
1434096e59219230a9a448bfa214dbb8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.06437833802837876, "params": [[-0.0422], [0.051300000000000005]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01656401341859387, 0.016710151523457565], "optimization_time": 1.8724417686462402} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.0211) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(0.0211) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(0.0422) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.1055) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.084... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6e27c825b578bdc34d46b278685ce298 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [41, 169], "expectation_value": -22.975764125821065, "params": [[[-0.00030000000000000003, 1.6132, 0.006500000000000001, 0.0012000000000000001], [0.0175, 0.6433, -0.0086, 0.0037], [0.5731, 1.0559, 0.0002, 1.0509], [-0.0024000000000000002, 0.9405, -0.0029000000000000002, 0.0089], [1.05, 0.0111, 0.001300000000... | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 12 | 10 | 3 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0003) q[0];
rz(1.6132) q[0];
ry(0.0175) q[1];
rz(0.6433) q[1];
ry(0.5731) q[2];
rz(1.0559) q[2];
ry(-0.0024) q[3];
rz(0.9405) q[3];
ry(1.05) q[4];
rz(0.0111) q[4];
ry(0.0016) q[5];
rz(0.9753) q[5];
ry(1.1453) q[6];
rz(-0.0364) q[6];
ry(0.0056) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d7c6790c5da24a95b7d7ccc603696be1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.5849026141990534, "params": [[[0.7070000000000001, -0.0011], [0.6969000000000001, -0.0007], [0.7051000000000001, 0.0018000000000000002], [-0.00030000000000000003, 0.4922], [0.6954, -0.0008], [0.6987, -0.001], [0.6953, -0.0022], [0.29560000000000003, -0.1957], [0.4828, -0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 12 | 3 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.707) q[0];
rz(-0.0011) q[0];
rx(0.6969) q[1];
rz(-0.0007) q[1];
rx(0.7051) q[2];
rz(0.0018) q[2];
rx(-0.0003) q[3];
rz(0.4922) q[3];
rx(0.6954) q[4];
rz(-0.0008) q[4];
rx(0.6987) q[5];
rz(-0.001) q[5];
rx(0.6953) q[6];
rz(-0.0022) q[6];
rx(0.2956) 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": []} |
199774378666556344 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 3], [1, 5], [3, 5], [3, 4], [4, 5], [0, 4]]} | {"states": [31, 26], "expectation_value": -2.0903417501757064, "params": null, "bitstrings": ["100000", "100101"], "total_optimization_steps": 36, "probabilities": [0.041574363371893394, 0.8350337070730959], "optimization_time": 30.802338361740112} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[4], q[0];
ry(1.0293) q[4];
ry(-0.6992) q[0];
cry(-0.6534) q[2], q[3];
ry(1.0459) q[2];
cry(1.1977) q[2], q[1];
cry(-0.4454) q[1], q[3];
cry(0.4357) q[2], q[4];
cry(-1.1161)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.26679279366858516, "params": [[0.0135, 0.0386, 0.049300000000000004], [-0.009000000000000001, -0.033100000000000004, -0.0397]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.01751558738613566, 0.018259826929363787], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | 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(0.0135) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0135) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0135) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.0135) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0.0135... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
5ca04f1f68578073d0992d728781edf5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [243, 247], "expectation_value": -13.499798208610281, "params": [[[-0.0026000000000000003, 3.1387], [-0.0028, -0.0032], [-0.0025, -0.003], [-0.0028, -0.0027], [-1.5868, -0.0025], [-1.5672000000000001, -0.0021000000000000003], [-0.0025, -0.0021000000000000003], [-0.0026000000000000003, -0.0024000000000000002]... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 1.0 *... | 15 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000100", "00001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0026) q[0];
ry(-0.0028) q[1];
ry(-0.0025) q[2];
ry(-0.0028) q[3];
ry(-1.5868) q[4];
ry(-1.5672) q[5];
ry(-0.0025) q[6];
ry(-0.0026) 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[... | 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 4} | {"circuits": [], "gradients": []} |
6317467715134932870 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]} | {"states": [116, 124], "expectation_value": -1.334217877300633, "params": null, "bitstrings": ["0001011", "0000011"], "total_optimization_steps": 35, "probabilities": [0.06370605825678542, 0.8904076893324525], "optimization_time": 46.29720640182495} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3666666666666665, -1.3666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["0000011", "0000100"]} | 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(1.5344) q[4];
ry(0.4455) q[3];
cry(-0.3926) q[2], q[6];
ry(0.4929) q[0];
cry(-0.475) q[0], q[6];
cry(0.4661) q[4], q[0];
cry(-0.3475) q[3], q[6];
ry(0.4765) q[2];
cry(-0.3285) q[4], q[6];
cry(0.4617) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5344) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [9, 11], "expectation_value": -4.47009519176241, "params": [[[-0.0056, 0.7802], [-0.0032, 0.9645], [-0.4944, 0.042300000000000004], [-0.0044, 0.9597], [-0.4927, 0.11800000000000001], [0.7793, -0.0009000000000000001]], [[-0.0012000000000000001, 0.9054000000000001], [-0.0002, 0.9640000000000001], [-0.4917, 0.1... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0056) q[0];
rz(0.7802) q[0];
rx(-0.0032) q[1];
rz(0.9645) q[1];
rx(-0.4944) q[2];
rz(0.0423) q[2];
rx(-0.0044) q[3];
rz(0.9597) q[3];
rx(-0.4927) q[4];
rz(0.118) q[4];
rx(0.7793) q[5];
rz(-0.0009) q[5];
rx(-0.0012) q[0];
rz(0.9054) q[0];
rx(-0.0002) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1979379391338381979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 3], [0, 2, 4], [1, 2], [5, 7], [0, 2, 6], [1, 6, 7]]} | {"states": [214, 222], "expectation_value": -0.05762344434819007, "params": [[-0.06720000000000001], [0.0729]], "bitstrings": ["00101001", "00100001"], "total_optimization_steps": 10, "probabilities": [0.004267599829586582, 0.004293873824633466], "optimization_time": 5.4587860107421875} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00100001"]} | 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[1];
rz(-0.0224) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(-0.0224) q[7];
cx q[3], q[7];
cx q[1], q[7];
rz(-0.0448) q[7];
cx q[1], q[7];
cx q[3], q[2];
rz(-0.0672) q[2];
cx q[3], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
-2032378522809974974 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7], [0, 1, 10, 7], [1, 4, 5, 6, 8, 10], [0, 3, 5, 8, 9], [0, 1, 2, 5, 6, 9], [1, 2, 3, 4, 5, 7, 8, 9], [10, 2, 5, 7], [9, 10, 1, 6], [8, 10, 3], [0, 3, 5, 7, 9], [0, 2, 4, 5, 9, 10], [8, 9, 4, 6], [1, 3, 4, 5, 6], [0... | {"states": [1243, 1499], "expectation_value": -3.3842543107660257, "params": [1.0813000000000001, -0.4733, 0.9988, 0.0059, 0.4937, -0.6633, 0.48650000000000004, 0.009000000000000001, 0.8027000000000001, 0.467, 0.9904000000000001, 0.0064, 1.5802, 0.0591, 1.5749, 0.0053, 1.5969, -0.048100000000000004, 1.5625, 0.001200000... | 0.16785714285714287 * (Z(0) @ Z(2)) + 0.06904761904761905 * (Z(3) @ Z(2)) + 0.1511904761904762 * (Z(3) @ Z(0)) + 0.06904761904761905 * (Z(4) @ Z(2)) + 0.05119047619047619 * (Z(4) @ Z(0)) + 0.16904761904761906 * (Z(4) @ Z(3)) + 0.08452380952380953 * (Z(6) @ Z(2)) + 0.16785714285714287 * (Z(6) @ Z(0)) + 0.317857142857142... | 7 | 11 | 1 | {"smallest_eigenvalues": [-3.877380952380952], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7964285714285695, "smallest_bitstrings": ["01000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.0813) q[0];
rz(-0.4733) q[0];
rx(0.4937) q[1];
rz(-0.6633) q[1];
rx(0.8027) q[2];
rz(0.467) q[2];
rx(1.5802) q[3];
rz(0.0591) q[3];
rx(1.5969) q[4];
rz(-0.0481) q[4];
rx(0.5268) q[5];
rz(-0.652) q[5];
rx(1.5837) q[6];
rz(0.0001) q[6];
rx(1.5924) 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": []} |
5bfd79024282ae69c62758a244a2de56 | 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": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [44, 42], "expectation_value": -0.34007140810953007, "params": [[0.0724, 0.0709], [-0.079, -0.0775]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.020069244219739903, 0.020868763024292723], "optimization_time": 2.0417287349700928} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"]} | 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(0.0724) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0724) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0724) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.0724) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0724... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
7d377871db785144e96b2ab337be680a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [4095, 3855], "expectation_value": -0.4681259310716204, "params": [[-0.028900000000000002], [0.0364]], "bitstrings": ["000000000000", "000011110000"], "total_optimization_steps": 10, "probabilities": [0.0002873817267148682, 0.00028912654755855574], "optimization_time": 2.6871228218078613} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.1156) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0578) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1156) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 4} | {"circuits": [], "gradients": []} |
544944462949192911 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [2, 6], [3, 6], [4, 7]]} | {"states": [177, 188], "expectation_value": -0.004257721770502515, "params": [[-0.0172], [0.024800000000000003]], "bitstrings": ["01001110", "01000011"], "total_optimization_steps": 10, "probabilities": [0.003939609878950537, 0.003939609878950537], "optimization_time": 1.2456674575805664} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01111100", "10000011", "10001110", "01110001", "01001110", "01000011", "10111100", "10110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.0172) q[5];
cx q[7], q[5];
cx q[1], q[0];
rz(-0.0172) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(-0.0172) q[2];
cx q[6], q[2];
cx q[6], q[3];
rz(-0.0172) q[3];
cx q[6], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6]... | null | {"circuits": [], "gradients": []} |
4ca1393616004ac480be815837cf0f97 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target":... | {"states": [838, 870], "expectation_value": -4.025383945555113, "params": [0.8725, 0.0035, 0.8708, 0.0055000000000000005, 0.8991, -0.0001, 0.9029, 0.0022, 0.16090000000000002, 0.3768, 0.1583, 0.0077, 0.91, 0.1119, 0.9106000000000001, 0.0017000000000000001, 0.868, -0.0033, 0.867, 0.0053, -0.0021000000000000003, 0.468, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(... | 7 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010011001", "1000110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8725) q[0];
rz(0.0035) q[0];
rx(0.8991) q[1];
rz(-0.0001) q[1];
rx(0.1609) q[2];
rz(0.3768) q[2];
rx(0.91) q[3];
rz(0.1119) q[3];
rx(0.868) q[4];
rz(-0.0033) q[4];
rx(-0.0021) q[5];
rz(0.468) q[5];
rx(0.2274) q[6];
rz(0.3242) q[6];
rx(0.9106) 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": []} |
bfcc016c6d32554855d911056b5152b6 | 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": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 84.48646450042725} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "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];
ry(-0.4397) q[6];
ry(1.57) q[7];
ry(-0.4766) q[0];
cry(0.1919) q[7], q[6];
cry(-0.0991) q[7], q[0];
cry(-1.323) q[2], q[6];
ry(-1.5708) q[5];
cry(-0.9942) q[4], q[0];
cry(-0.6984) q[1], q[6];
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(-0.4397) 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... |
339a57bb1c23f4470580bb80982f1c3f | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [74, 90], "expectation_value": -3.3487518161477463, "params": [[[0.9115000000000001, -0.0024000000000000002], [0.2189, -0.34890000000000004], [0.8607, 0.0039000000000000003], [0.9042, 0.0011], [0.1272, -0.3845], [0.9036000000000001, 0.0006000000000000001], [0.0029000000000000002, 0.4923]], [[0.9051, 0.0089],... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9115) q[0];
rz(-0.0024) q[0];
rx(0.2189) q[1];
rz(-0.3489) q[1];
rx(0.8607) q[2];
rz(0.0039) q[2];
rx(0.9042) q[3];
rz(0.0011) q[3];
rx(0.1272) q[4];
rz(-0.3845) q[4];
rx(0.9036) q[5];
rz(0.0006) q[5];
rx(0.0029) q[6];
rz(0.4923) q[6];
rx(0.9051) 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": []} |
cb2d5cacc34fdd8ea2bb854f18413d55 | 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": [3228, 3224], "expectation_value": -161.14195889519772, "params": [0.6927, 0.0018000000000000002, 0.7018, 0.1389, 0.1282, 0.30810000000000004, -0.0047, 0.3879, 0.6976, 0.006500000000000001, -0.0037, 0.4274, 0.0978, 0.2853, 0.6933, 0.0047, 0.7051000000000001, -0.018500000000000003, 0.33330000000000004, -0.176... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10)... | 18 | 12 | 4 | {"smallest_eigenvalues": [-178.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["001101100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6927) q[0];
rz(0.0018) q[0];
rx(0.7018) q[1];
rz(0.1389) q[1];
rx(0.1282) q[2];
rz(0.3081) q[2];
rx(-0.0047) q[3];
rz(0.3879) q[3];
rx(0.6976) q[4];
rz(0.0065) q[4];
rx(-0.0037) q[5];
rz(0.4274) q[5];
rx(0.0978) q[6];
rz(0.2853) q[6];
rx(0.6933) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
5656897463763334713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5, 6], [0, 2, 4, 5, 6], [3, 4, 5, 6], [2, 3, 4, 5], [0, 1, 4, 5]]} | {"states": [39, 55], "expectation_value": -1.080074248643988, "params": [[[0.2409, 0.00030000000000000003], [1.85, 0.0036000000000000003], [1.602, 0.0002], [0.2306, 0.004], [3.1438, 0.001], [3.1438, 0.008700000000000001], [3.1444, 0.0033]]], "bitstrings": ["1011000", "1001000"], "total_optimization_steps": 400, "probab... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2, -1.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0000010", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2409) q[0];
rz(0.0003) q[0];
rx(1.85) q[1];
rz(0.0036) q[1];
rx(1.602) q[2];
rz(0.0002) q[2];
rx(0.2306) q[3];
rz(0.004) q[3];
rx(3.1438) q[4];
rz(0.001) q[4];
rx(3.1438) q[5];
rz(0.0087) q[5];
rx(3.1444) q[6];
rz(0.0033) q[6];
c[0] = measure q[0];
c[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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.350371316744017, "params": [-0.3796, 1.1635, -0.065, 0.6474000000000001, -0.5167, 1.2610000000000001, 0.33490000000000003, 0.7592, -0.5574, 1.0823, -0.4529, 1.5689000000000002, -0.6910000000000001, 1.1691, -0.7030000000000001, 1.4375, 0.3645, 1.0409000000000002, -0.1019, 1.... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.3796) q[0];
rz(1.1635) q[0];
rx(-0.5167) q[1];
rz(1.261) q[1];
rx(-0.5574) q[2];
rz(1.0823) q[2];
rx(-0.691) q[3];
rz(1.1691) q[3];
rx(0.3645) q[4];
rz(1.0409) q[4];
rx(-0.0055) q[5];
rz(1.034) q[5];
rx(0.003) q[6];
rz(1.2912) q[6];
rx(0.0064) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 209.53301453590393} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 10 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.2982) q[3];
ry(-0.7275) q[4];
cry(-1.2688) q[6], q[3];
cry(-0.8374) q[7], q[4];
cry(-0.7943) q[5], q[0];
cry(-1.5708) q[1], q[2];
ry(1.391) q[5];
cry(-0.3522) q[7], q[0];
c... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-4845368803742552712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 6], [0, 2, 3, 4, 7, 9], [8, 1, 2, 5], [4, 6], [9, 3, 4, 1], [9, 2, 5, 7], [9, 2, 3, 5], [1, 5, 6, 7, 8, 9], [1, 2, 3], [0, 1, 3, 5, 8], [0, 2, 3, 4, 8, 9]]} | {"states": [758, 246], "expectation_value": -2.4535322091700102, "params": [1.2914, -0.3729, 0.6914, 0.0057, 1.0570000000000002, -0.31720000000000004, 0.7513000000000001, 0.0071, 1.3005, 0.1082, 1.1013, 0.0001, 1.2889000000000002, 0.1442, 1.2877, 0.0025, 1.2947, 0.1495, 1.2953000000000001, 0.0057, 1.2988, 0.1265, 0.975... | 0.5 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(0) @ Z(3)) + 0.31666666666666665 * (Z(2) @ Z(3)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.15 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.9499999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9333333333333345, "smallest_bitstrings": ["1100001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2914) q[0];
rz(-0.3729) q[0];
rx(1.057) q[1];
rz(-0.3172) q[1];
rx(1.3005) q[2];
rz(0.1082) q[2];
rx(1.2889) q[3];
rz(0.1442) q[3];
rx(1.2947) q[4];
rz(0.1495) q[4];
rx(1.2988) q[5];
rz(0.1265) q[5];
rx(0.879) q[6];
rz(0.1249) q[6];
rx(1.2977) 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": []} |
498e6455e0b42f4419f3d681ee1f87f9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [92, 94], "expectation_value": -4.469267975165732, "params": [-0.0057, -0.0068000000000000005, 0.0004, -0.0246, -0.0071, -0.0004, 0.9018, 0.9058, 0.7131000000000001, 0.7099000000000001, 0.8986000000000001, 0.8991, 0.9051, 0.906, 0.9048, 0.9091, 0.8540000000000001, 0.8547, 0.0771, 0.0858, -0.4333, 0.0088, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.5 * Z(0) + 0.0 * ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010110001", "1110000011", "1010010011", "1110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0057) q[0];
ry(0.0004) q[1];
ry(-0.0071) q[2];
ry(0.9018) q[3];
ry(0.7131) q[4];
ry(0.8986) q[5];
ry(0.9051) q[6];
ry(0.9048) q[7];
ry(0.854) q[8];
ry(0.0771) q[9];
crz(-0.4333) q[9], q[0];
crz(0.2026) q[8], q[9];
crz(0.0089) q[7], q[8];
crz(-0.0008) 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": []} |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [3, 55], "expectation_value": -3.182294119113326, "params": [[0.1145], [-0.1173]], "bitstrings": ["11111100", "11001000"], "total_optimization_steps": 20, "probabilities": [0.00925763770739904, 0.00935225866771337], "optimization_time": 2.274662494659424} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.229) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.4007) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.1145) q[5];
cx q[0], q[5];
cx q[0], q[7];
rz(0.4007) q[7];
cx q[0], q[7];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b6e0c3c301837e1bade2ecec75b88187 | 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": [77, 79], "expectation_value": -71.0084695879996, "params": [0.0534, 0.0603, 0.1907, 0.1897, 0.5062, 0.5025000000000001, -0.0063, -0.0126, 0.0049, 0.0001, 0.5197, 0.5369, 0.4636, 0.4863, 0.42060000000000003, 0.4559, 0.4812, 0.39490000000000003, 0.039900000000000005, 0.0492, 0.18710000000000002, 0.1814, 0.510... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 9.5 * Z(2) + -3.0 * Z(3) + 14.5 * Z(5) + 1.5 * Z(6) + -6.5 * Z(0) + 12.5 * Z(7) + 15.0 * Z(8) + -13.0 * Z(4) | 14 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0534) q[0];
ry(0.1907) q[1];
ry(0.5062) q[2];
ry(-0.0063) q[3];
ry(0.0049) q[4];
ry(0.5197) q[5];
ry(0.4636) q[6];
ry(0.4206) q[7];
ry(0.4812) q[8];
crx(0.094) q[8], q[0];
crx(-0.2222) q[7], q[8];
crx(0.354) q[6], q[7];
crx(0.1856) q[5], q[6];
crx(0.2799)... | 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] x11;
input float[64] x12;
inp... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
97e359edb03931ec167922719eaf9db2 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [38314, 21930], "expectation_value": -2.0003548111784375, "params": [[[3.1619, 0.0043], [-1.6134000000000002, 0.0071], [3.1608, 0.0032], [-1.6196000000000002, 0.006], [3.1602, 0.0001], [1.6178000000000001, 0.0066], [3.1617, 0.002], [1.0869, 0.0031000000000000003], [3.1614, 0.0063], [1.6288, 0.0043], [3.15840... | 0.25 * (Z(0) @ Z(1)) + -0.00075 * (Z(2) @ Z(0)) + -0.00075 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ Z(0)) + -0.00050000000000000... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.023249999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0232499999999027, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1619) q[0];
rz(0.0043) q[0];
rx(-1.6134) q[1];
rz(0.0071) q[1];
rx(3.1608) q[2];
rz(0.0032) q[2];
rx(-1.6196) q[3];
rz(0.006) q[3];
rx(3.1602) q[4];
rz(0.0001) q[4];
rx(1.6178) q[5];
rz(0.0066) q[5];
rx(3.1617) q[6];
rz(0.002) q[6];
rx(1.0869) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-1124985461874017844 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 6], [0, 2, 5, 6, 8], [0, 1, 3, 4, 7], [8, 1, 3, 0], [1, 4, 5], [1, 2, 4], [8, 1, 2], [8, 3, 4, 5], [8, 1, 0, 7], [8, 0, 2, 4], [1, 3, 4, 6], [8, 2, 6, 7]]} | {"states": [492, 494], "expectation_value": -0.3887313522295103, "params": [0.794, 0.0039000000000000003, 0.7933, 0.0019, 0.7994, -0.0031000000000000003, 0.8015, 0.0073, 0.8067000000000001, 0.003, 0.8032, 0.0085, 0.8061, -0.004, 0.8049000000000001, 0.0004, 0.7951, 0.0041, 0.7988000000000001, 0.0064, 0.7983, -0.00310000... | 0.41666666666666663 * (Z(8) @ Z(1)) + 0.55 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(0) @ Z(8)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(6)) + 0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.900000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.733333333333334, "smallest_bitstrings": ["000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.794) q[0];
rz(0.0039) q[0];
rx(0.7994) q[1];
rz(-0.0031) q[1];
rx(0.8067) q[2];
rz(0.003) q[2];
rx(0.8061) q[3];
rz(-0.004) q[3];
rx(0.7951) q[4];
rz(0.0041) q[4];
rx(0.7983) q[5];
rz(-0.0031) q[5];
rx(0.8012) q[6];
rz(-0.0035) q[6];
rx(0.8076) 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": []} |
b41a0246ac934e385375b4178d6ede58 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [488, 1016], "expectation_value": -18.785389774678674, "params": null, "bitstrings": ["1000010111", "0000000111"], "total_optimization_steps": 100, "probabilities": [0.13893553839146439, 0.4157025084894632], "optimization_time": 266.13934803009033} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[4], q[3];
ry(1.0079) q[4];
cry(1.5708) q[5], q[0];
ry(1.1003) q[5];
cry(1.5708) q[0], q[1];
cry(0.6965) q[1], q[2];
cry(0.128) q[0], q[2];
ry(-1.0352) q[0];
cry(0.1... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[4], 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] = measu... |
64af4c2b79332f45cc93f4adbc07969b | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [48, 56], "expectation_value": -2.2994206142034477, "params": [[[0.9948, 0.0059], [1.6124, 0.0057], [1.6057000000000001, 0.007], [1.6034000000000002, 0.0097], [0.0025, 0.0016], [0.0023, 0.00030000000000000003], [0.0022, 0.008400000000000001]]], "bitstrings": ["1001111", "1000111"], "total_optimization_steps"... | 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)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9948) q[0];
rz(0.0059) q[0];
rx(1.6124) q[1];
rz(0.0057) q[1];
rx(1.6057) q[2];
rz(0.007) q[2];
rx(1.6034) q[3];
rz(0.0097) q[3];
rx(0.0025) q[4];
rz(0.0016) q[4];
rx(0.0023) q[5];
rz(0.0003) q[5];
rx(0.0022) q[6];
rz(0.0084) q[6];
c[0] = measure q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
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