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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2353079fa286d356ce3844ef645b5899 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.090397326161539, "params": [[-0.0507, -0.055900000000000005, -0.0695], [0.0528, 0.0651, 0.0699]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008975789489499125, 0.009132485208909297], "optimization_time": 5.378702163696289} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0507) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.0507) q[1];
cx q[2], q[1];
cx q[0], q[7];
rz(-0.0761) q[7];
cx q[0], q[7];
cx q[1], q[7];
rz(0.0254) q[7];
cx q[1], q[7];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4243f02c605bbdbed3a1b13ecb63eadb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 320], "expectation_value": -26.407200847416835, "params": [-0.0029000000000000002, -0.5201, -0.0029000000000000002, 0.001, 0.0023, -0.5740000000000001, 0.0023, 0.0056, 0.8064, 0.07250000000000001, 0.8055, 0.0055000000000000005, 0.0022, -0.5760000000000001, 0.0022, 0.006, 0.8002, 0.0746, 0.8013, 0.0038,... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + 2.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(9)) + -0.75 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["11010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0029) q[0];
rz(-0.5201) q[0];
rx(0.0023) q[1];
rz(-0.574) q[1];
rx(0.8064) q[2];
rz(0.0725) q[2];
rx(0.0022) q[3];
rz(-0.576) q[3];
rx(0.8002) q[4];
rz(0.0746) q[4];
rx(0.0022) q[5];
rz(-0.5952) q[5];
rx(0.0023) q[6];
rz(-0.4349) q[6];
rx(0.0025) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.655678050444996, "params": [0.0013000000000000002, -0.1778, 0.0033, 0.3171, 0.0054, 0.2265, 0.0028, 0.3025, 0.0008, 0.30720000000000003, 0.0022, 0.30970000000000003, 0.018600000000000002, 0.11670000000000001, 0.4102, -0.0018000000000000002, 0.0057, -0.2457, -0.0001, 0.3173, -0... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 4 | 8 | 4 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0013) q[0];
rz(-0.1778) q[0];
rx(0.0033) q[1];
rz(0.3171) q[1];
rx(0.0054) q[2];
rz(0.2265) q[2];
rx(0.0028) q[3];
rz(0.3025) q[3];
rx(0.0008) q[4];
rz(0.3072) q[4];
rx(0.0022) q[5];
rz(0.3097) q[5];
rx(0.0186) q[6];
rz(0.1167) q[6];
rx(0.4102) 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": 7} | {"circuits": [], "gradients": []} |
-503644790904809796 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 9, 10, 11], [1, 3, 4, 8, 9], [1, 3, 5, 8, 9], [0, 2, 3, 7, 11], [0, 11, 4, 5], [1, 4, 5, 8, 9], [1, 4, 6, 7, 8], [9, 7], [0, 2, 4, 5, 9], [8, 0, 2], [0, 9, 4, 6], [10, 3, 6], [0, 1, 6, 8, 9, 10, 11]]} | {"states": [491, 507], "expectation_value": -3.147255748554196, "params": [0.0025, 0.0025, 3.1439000000000004, 3.1449000000000003, -0.0026000000000000003, -0.0026000000000000003, 1.5388000000000002, 1.5978, 1.5670000000000002, 1.5693000000000001, 1.5775000000000001, 1.5593000000000001, 1.5749, 1.572, -0.8847, -0.8827, ... | 0.023809523809523808 * (Z(1) @ Z(4)) + 0.07380952380952381 * (Z(6) @ Z(4)) + 0.1738095238095238 * (Z(6) @ Z(1)) + 0.07380952380952381 * (Z(7) @ Z(4)) + 0.12380952380952381 * (Z(7) @ Z(1)) + 0.20714285714285713 * (Z(7) @ Z(6)) + 0.07380952380952381 * (Z(11) @ Z(4)) + 0.1976190476190476 * (Z(11) @ Z(1)) + 0.2571428571428... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0690476190476197, "smallest_bitstrings": ["111000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0025) q[0];
ry(3.1439) q[1];
ry(-0.0026) q[2];
ry(1.5388) q[3];
ry(1.567) q[4];
ry(1.5775) q[5];
ry(1.5749) q[6];
ry(-0.8847) q[7];
ry(1.5621) q[8];
ry(-0.0025) q[9];
ry(1.5676) q[10];
ry(1.569) q[11];
crz(0.0022) q[11], q[0];
crz(-0.0022) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -26.951653216490552, "params": [[0.027200000000000002, 0.0023, -0.0161, 0.0097], [-0.06770000000000001, -0.057800000000000004, -0.0388, -0.0419]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0073291211145099225, 0.008563610740... | 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(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2448) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2448) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2448) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2448) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5d24358bf33b0fea3dae672970cf9db0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 4}, {"weight": 19, "sourc... | {"states": [465, 401], "expectation_value": -56.79473721605645, "params": [[[1.3050000000000002, -0.0016], [0.897, 0.0916], [0.7173, -0.28350000000000003], [-0.0029000000000000002, 0.9519000000000001], [1.3059, 0.0018000000000000002], [-0.0021000000000000003, 0.7091000000000001], [0.08850000000000001, 0.5877], [-0.0022... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + -1.0 * Z(1) + 4.5 * Z(0) + 2.5 * Z(2) + -14.5 * Z(3) + -5.5 * Z(5) + -0.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.305) q[0];
rz(-0.0016) q[0];
rx(0.897) q[1];
rz(0.0916) q[1];
rx(0.7173) q[2];
rz(-0.2835) q[2];
rx(-0.0029) q[3];
rz(0.9519) q[3];
rx(1.3059) q[4];
rz(0.0018) q[4];
rx(-0.0021) q[5];
rz(0.7091) q[5];
rx(0.0885) q[6];
rz(0.5877) q[6];
rx(-0.0022) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
0b5f0e96c66f1fe8afca6f37edd06ab2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3413, 3445], "expectation_value": -3.2893782029564855, "params": [[[0.6625, 0.0149, 0.0023, 0.0017000000000000001], [0.17550000000000002, -0.014400000000000001, 0.657, 0.0006000000000000001], [0.0039000000000000003, -0.35550000000000004, 0.0009000000000000001, -0.3569], [0.3361, -0.0053, 0.3373, 0.0027], [-... | 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 * (... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6625) q[0];
rz(0.0149) q[0];
ry(0.1755) q[1];
rz(-0.0144) q[1];
ry(0.0039) q[2];
rz(-0.3555) q[2];
ry(0.3361) q[3];
rz(-0.0053) q[3];
ry(-0.0842) q[4];
rz(-0.0024) q[4];
ry(0.5174) q[5];
rz(0.034) q[5];
ry(-0.1244) q[6];
rz(-0.0118) q[6];
ry(0.5969) 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... | null | {"circuits": [], "gradients": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 28.584506034851074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
cry(-1.0343) q[4], q[2];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[3], q[4];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a18c3f06d92936730b6359d47cfc0d48 | 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": [349, 333], "expectation_value": -104.47453023316467, "params": [0.1553, 0.15610000000000002, -0.0054, -0.0041, 0.5017, 0.4978, 0.0936, 0.0981, 0.5004000000000001, 0.49660000000000004, 0.0898, 0.0853, 0.2617, 0.2569, 0.4922, 0.4884, 0.4888, 0.47990000000000005, 0.0012000000000000001, 0.0097, 0.4918, 0.5001, ... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 9.5 * Z(2) + 9.5 * Z(4) + 1.5 * Z(5) + 1... | 14 | 11 | 3 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1553) q[0];
ry(-0.0054) q[1];
ry(0.5017) q[2];
ry(0.0936) q[3];
ry(0.5004) q[4];
ry(0.0898) q[5];
ry(0.2617) q[6];
ry(0.4922) q[7];
ry(0.4888) q[8];
ry(0.0012) q[9];
ry(0.4918) q[10];
crx(0.2507) q[10], q[0];
crx(0.3561) q[9], q[10];
crx(-0.0683) q[8], ... | 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], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
eb532b3fe9f318ccb3658a6712436b91 | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -0.8531655603936796, "params": [[-0.0323, -0.07060000000000001], [0.015000000000000001, 0.06570000000000001]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0059012867931115135, 0.006159449601888244], "optimization_time": 3.3938128948... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | 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(0.0323) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0323) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0485) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0162) q[4];
cx q[0], q[4];
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": []} |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 28], "expectation_value": -0.34441672376124755, "params": [[0.051800000000000006, 0.0412, 0.0626, 0.0342], [-0.0451, -0.0315, -0.049600000000000005, -0.038]], "bitstrings": ["11001", "00011"], "total_optimization_steps": 10, "probabilities": [0.04025254493201501, 0.043036946306377624], "optimization_time... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0518) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0518) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0518) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0518) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.0518) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
06d1453a803eab917f2a75bdec826274 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -0.7280529062875183, "params": [[0.0745], [-0.0818]], "bitstrings": ["000011", "000000"], "total_optimization_steps": 10, "probabilities": [0.020251941516777963, 0.02120138773942698], "optimization_time": 0.9093008041381836} | -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + 1.0 * Z(0) + -1.5 * Z(3) + 1.0 * Z(1) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["000000"]} | 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[0], q[3];
rz(-0.298) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.0745) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3725) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0745) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0.22... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(x1) q[1];
c... | {"node": 0} | {"circuits": [], "gradients": []} |
155388a51f67e78b5cb4ef00a89a070e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [71, 85], "expectation_value": -3.4991049506313137, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 34, "probabilities": [0.06552859477802893, 0.9338463427814478], "optimization_time": 23.44927191734314} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101010", "0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[6];
ry(1.4417) q[0];
ry(1.4417) q[4];
cry(-1.0342) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4963) q[6], q[2];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -4.096692403969087, "params": [[0.0625, 0.052500000000000005, 0.0553], [-0.0688, -0.0531, -0.0468]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01862858815475063, 0.02768715708439064], "optimization_time": 6.723688364028931} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1875) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.125) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.125) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0625) 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] 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": []} |
6259e2b8b64788961e56db85ed516abe | 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": [361, 362], "expectation_value": -86.62787257453692, "params": [-0.0007, 1.5341, 1.4056, 0.3225, -0.0031000000000000003, 0.9686, 1.0602, 0.013900000000000001, 1.0493000000000001, 0.2564, 0.0004, 1.4020000000000001, 1.0410000000000001, 0.09390000000000001, -0.0026000000000000003, 0.9811000000000001, 1.0679, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(8) @ Z(9)) + -6.0 * Z(0) + 7.0 * Z(1) + 6.5 * Z(3) + 11.0 * Z(2) + 15.0 * Z(4) + 1.5 * Z(5) + 14.5 * Z(6) + -4.5 ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0007) q[0];
rz(1.5341) q[0];
rx(1.4056) q[1];
rz(0.3225) q[1];
rx(-0.0031) q[2];
rz(0.9686) q[2];
rx(1.0602) q[3];
rz(0.0139) q[3];
rx(1.0493) q[4];
rz(0.2564) q[4];
rx(0.0004) q[5];
rz(1.402) q[5];
rx(1.041) q[6];
rz(0.0939) q[6];
rx(-0.0026) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
533fcd480a5175680493f52fe07173d6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -5.4940024530007845, "params": [[0.2169], [-0.2528]], "bitstrings": ["11111110", "11011010"], "total_optimization_steps": 30, "probabilities": [0.02526760621121323, 0.02959281184459715], "optimization_time": 2.557800769805908} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.5423) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.1085) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.1085) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.2169) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 185.93269109725952} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-7.2777) q[3];
ry(30.9012) q[6];
ry(0.864) q[5];
ry(14.6983) q[2];
cry(10.2049) q[2], q[6];
cry(-33.552) q[5], q[6];
ry(0.171) q[7];
ry(-0.197) q[0];
cry(-0.2929) q[2], q[0];
cry(0.2135... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
117d5eadcb002c843d1e10097e462227 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -0.074194133809619, "params": [[-0.045200000000000004], [0.0557]], "bitstrings": ["101000", "110000"], "total_optimization_steps": 10, "probabilities": [0.016562100939423965, 0.01656210093942397], "optimization_time": 0.9667747020721436} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | 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[1], q[2];
rz(-0.0452) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0452) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0452) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
802a7e7b8f68c01830884a162c692944 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 8}, {"sour... | {"states": [278, 150], "expectation_value": -5.049293923657902, "params": [[0.6371, 0.6468, 0.003, 0.0001, 0.8428, 0.8917, 0.040600000000000004, 0.8953000000000001, -0.0], [0.6087, 0.6102000000000001, 0.0032, 0.0036000000000000003, 0.5172, 0.4791, 0.8995000000000001, 0.9029, -0.0049], [0.6459, 0.638, 0.0031000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101100", "100110011", "101110001", "011110100", "011101001", "101101001", "011110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6371) q[0];
ry(0.6468) q[1];
ry(0.003) q[2];
ry(0.0001) q[3];
ry(0.8428) q[4];
ry(0.8917) q[5];
ry(0.0406) q[6];
ry(0.8953) q[7];
ry(0) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target"... | {"states": [14325, 14261], "expectation_value": -7.738645698648622, "params": [[[0.7841, 0.39], [1.5767, 0.0009000000000000001], [1.5766, -0.0009000000000000001], [0.7872, 0.3896], [1.572, -0.0019], [1.5743, 0.0004], [1.5482, -0.0013000000000000002], [1.3568, -0.0061], [0.7994, -0.3788], [1.4703000000000002, -0.0004], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 2 | {"smallest_eigenvalues": [-10.249999999999952], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999945, "smallest_bitstrings": ["100100001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.7841) q[0];
rz(0.39) q[0];
rx(1.5767) q[1];
rz(0.0009) q[1];
rx(1.5766) q[2];
rz(-0.0009) q[2];
rx(0.7872) q[3];
rz(0.3896) q[3];
rx(1.572) q[4];
rz(-0.0019) q[4];
rx(1.5743) q[5];
rz(0.0004) q[5];
rx(1.5482) q[6];
rz(-0.0013) q[6];
rx(1.3568) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 60.67778253555298} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "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];
cry(1.5706) q[1], q[5];
cry(1.5693) q[4], q[2];
ry(1.1546) q[4];
ry(0.5862) q[2];
ry(0.8993) q[1];
ry(0.5002) q[5];
cry(0.3333) q[2], q[4];
cry(0.5525) q[5], q[1];
cry(1.3684) q[4], q[3];
cry(1.2566) q[5]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5706) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
117d5eadcb002c843d1e10097e462227 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [15, 23], "expectation_value": -0.42588560529772834, "params": [[0.0724, 0.0717], [-0.0757, -0.0721]], "bitstrings": ["110000", "101000"], "total_optimization_steps": 10, "probabilities": [0.021328680772785966, 0.021328680772785966], "optimization_time": 2.1160504817962646} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | 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[0], q[2];
rz(0.0724) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0724) q[3];
cx q[0], q[3];
cx q[0], 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": []} |
77760a3072423fe2d8d9fc0c2352593a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.556122475159675, "params": [-0.0018000000000000002, 0.1348, -0.0005, 0.13140000000000002, 0.001, 0.16040000000000001, 0.0039000000000000003, 0.1631, 0.2008, -0.0024000000000000002, 0.19770000000000001, 0.0026000000000000003, 0.0059, 0.1155, 0.0048000000000000004, 0.12240000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(6... | 7 | 11 | 4 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111", "11011111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0018) q[0];
rz(0.1348) q[0];
rx(0.001) q[1];
rz(0.1604) q[1];
rx(0.2008) q[2];
rz(-0.0024) q[2];
rx(0.0059) q[3];
rz(0.1155) q[3];
rx(-0.0016) q[4];
rz(0.1534) q[4];
rx(-0.0001) q[5];
rz(0.1526) q[5];
rx(0.0044) q[6];
rz(0.1644) q[6];
rx(0.0014) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 22.067090034484863} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[5];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[4];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[1];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
b06e27961007262f3a2ecbf8aba20c59 | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [1003, 1002], "expectation_value": -1.8575798491839959, "params": [[[0.4027, -0.09330000000000001], [0.5994, 0.0008], [0.6011000000000001, -0.0017000000000000001], [0.6072000000000001, 0.0029000000000000002], [0.6027, -0.0039000000000000003], [0.601, -0.0039000000000000003], [-0.0001, 0.42360000000000003], [... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4027) q[0];
rz(-0.0933) q[0];
rx(0.5994) q[1];
rz(0.0008) q[1];
rx(0.6011) q[2];
rz(-0.0017) q[2];
rx(0.6072) q[3];
rz(0.0029) q[3];
rx(0.6027) q[4];
rz(-0.0039) q[4];
rx(0.601) q[5];
rz(-0.0039) q[5];
rx(-0.0001) q[6];
rz(0.4236) q[6];
rx(0.6052) 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -0.08903722387580545, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0323, -0.0443, -0.033800000000000004]], "bitstrings": ["011", "110"], "total_optimization_steps": 10, "probabilities": [0.13281745343537082, 0.13281745343537085], "optimization_time": 2.3171043395996094} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0462) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0462) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0462) q[1];
cx q[2], q[1];
rz(-0.0462) q[0];
rz(-0.0462) q[1];
rz(-0.0462) q[2];
h q[0];
rz(-0.0646) q[0];
h q[0];
h 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [192, 248], "expectation_value": -11.393624086651965, "params": [1.5812000000000002, 1.2636, 0.39030000000000004, -0.49760000000000004, 1.0883, 0.8653000000000001, 0.1278, -0.0716, 0.3759, -0.3526, -0.0026000000000000003, -0.0022, -0.0025, -0.0025, 0.004200000000000001, -0.009000000000000001, 0.882, -0.3372,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 14 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5812) q[0];
ry(0.3903) q[1];
ry(1.0883) q[2];
ry(0.1278) q[3];
ry(0.3759) q[4];
ry(-0.0026) q[5];
ry(-0.0025) q[6];
ry(0.0042) q[7];
crx(0.882) q[7], q[0];
crx(1.5023) q[6], q[7];
crx(-0.6845) q[5], q[6];
crx(0.0017) q[4], q[5];
crx(1.4695) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -6.017376324730655, "params": [[-0.0719, -0.0398], [0.0804, 0.07060000000000001]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017868181727045972, 0.019592855762311033], "optimization_time": 6.516535520553589} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.3236) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3236) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3236) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3236) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"k": 4} | {"circuits": [], "gradients": []} |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 21.967628002166748} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5681) q[6], q[0];
ry(1.1478) q[6];
ry(-1.5681) q[3];
ry(-1.5708) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-0.6096) q[0];
cry(0.3083) q[5], q[6];
cry(-0.1297) q[5], q[0];
cry(-0.0019) q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
8ea4bcc4df3e10de0c557d9b64e2ab10 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -17.13257141966297, "params": [0.1867, -0.052700000000000004, 0.0485, -0.4007, 0.0085, 0.45940000000000003, 0.044500000000000005, 0.4823, 0.2766, 0.0724, 0.2888, 0.2828, 0.2755, 0.0668, 0.2732, 0.1806, -0.0539, 0.46690000000000004, 0.0269, 0.5333, -0.06670000000000001, 0.445300... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1867) q[0];
rz(-0.0527) q[0];
rx(0.0085) q[1];
rz(0.4594) q[1];
rx(0.2766) q[2];
rz(0.0724) q[2];
rx(0.2755) q[3];
rz(0.0668) q[3];
rx(-0.0539) q[4];
rz(0.4669) q[4];
rx(-0.0667) q[5];
rz(0.4453) q[5];
rx(-0.0327) q[6];
rz(0.3502) q[6];
rx(-0.0865) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
43feb36a4722febdeeb68ef4ea14502b | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [578, 594], "expectation_value": -9.530361466523564, "params": [[0.812, -0.016, 0.1892, 0.8039000000000001, 0.19210000000000002, 0.7969, 0.0005, -0.005200000000000001, 0.8057000000000001, 0.1752], [0.8094, 0.010700000000000001, 0.1168, 0.8097000000000001, 0.0344, 0.7891, 0.0033, 0.0098, 0.8106, 0.7772]], "bi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0110101101", "0110111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.812) q[0];
ry(-0.016) q[1];
ry(0.1892) q[2];
ry(0.8039) q[3];
ry(0.1921) q[4];
ry(0.7969) q[5];
ry(0.0005) q[6];
ry(-0.0052) q[7];
ry(0.8057) q[8];
ry(0.1752) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [15, 31], "expectation_value": -21.40894795289721, "params": [-0.0009000000000000001, 0.7029000000000001, 0.0048000000000000004, 0.8256, -0.0029000000000000002, 1.2385000000000002, 0.5847, 0.2247, 1.0634000000000001, -0.0033, 1.0431000000000001, 0.0303, -1.0569, 0.27740000000000004, 1.0241, -0.001, -0.0061, ... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0009) q[0];
rz(0.7029) q[0];
rx(0.0048) q[1];
rz(0.8256) q[1];
rx(-0.0029) q[2];
rz(1.2385) q[2];
rx(0.5847) q[3];
rz(0.2247) q[3];
rx(1.0634) q[4];
rz(-0.0033) q[4];
rx(1.0431) q[5];
rz(0.0303) q[5];
rx(-1.0569) q[6];
rz(0.2774) q[6];
rx(1.0241) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
5590387662697888090 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 12, 5, 6], [0, 3, 4], [2, 3], [2, 4, 5], [3, 5], [10, 5], [8, 9, 7], [1, 12, 9], [2, 4, 7], [11, 5], [0, 9, 4], [9, 12, 4], [8, 1, 11, 4], [1, 3], [0, 1, 12, 5], [8, 9, 5, 6], [8, 3], [2, 11], [10, 6], [8, 2, 7], [10, 4], [8, 11, 7], [1, 2, 12, 5]... | {"states": [7640, 3544], "expectation_value": -7.79285355313407, "params": [0.8403, -0.7100000000000001, 0.8404, 0.0063, 1.1413, 0.0137, 1.3465, 0.0142, 1.5728, -0.0027, 1.5743, 0.005200000000000001, 0.0026000000000000003, -1.11, 0.0029000000000000002, -0.9299000000000001, 1.5717, -0.0019, 1.5648, 0.006500000000000001,... | 0.16666666666666666 * (Z(0) @ Z(12)) + 0.25 * (Z(5) @ Z(12)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(12)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(12)) + 0.333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-7.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.750000000000002, "smallest_bitstrings": ["1001000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.8403) q[0];
rz(-0.71) q[0];
rx(1.1413) q[1];
rz(0.0137) q[1];
rx(1.5728) q[2];
rz(-0.0027) q[2];
rx(0.0026) q[3];
rz(-1.11) q[3];
rx(1.5717) q[4];
rz(-0.0019) q[4];
rx(1.4699) q[5];
rz(0.0037) q[5];
rx(1.5753) q[6];
rz(-0.0031) q[6];
rx(0.0251) 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": []} |
-3149244787070552550 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 3], [10, 7], [3, 7], [0, 5], [1, 6], [2, 5], [9, 6], [11, 5], [0, 11], [0, 2], [9, 1], [10, 5], [0, 1], [8, 4], [8, 6], [0, 3]]} | {"states": [2070, 2071], "expectation_value": -0.10912322405997826, "params": [[[1.6929, 0.0045000000000000005], [1.4941, 0.0094], [1.3847, 0.0057], [1.4051, 0.009600000000000001], [1.4025, 0.0098], [1.4598, 0.0067], [1.4187, 0.006900000000000001], [1.735, 0.0089], [1.4689, 0.009000000000000001], [1.7256, 0.0071], [1.7... | 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["011111000010", "011111101000", "100000010111", "100000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6929) q[0];
rz(0.0045) q[0];
rx(1.4941) q[1];
rz(0.0094) q[1];
rx(1.3847) q[2];
rz(0.0057) q[2];
rx(1.4051) q[3];
rz(0.0096) q[3];
rx(1.4025) q[4];
rz(0.0098) q[4];
rx(1.4598) q[5];
rz(0.0067) q[5];
rx(1.4187) q[6];
rz(0.0069) q[6];
rx(1.735) 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": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [19, 3], "expectation_value": -23.83163057505398, "params": [[[0.2559, 0.0083], [0.5358, 0.0068000000000000005], [1.5588000000000002, 0.0074], [0.2818, 0.0025], [0.273, 0.0059], [1.6031, 0.0022], [1.6068, 0.0045000000000000005]]], "bitstrings": ["1101100", "1111100"], "total_optimization_steps": 160, "probab... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2559) q[0];
rz(0.0083) q[0];
rx(0.5358) q[1];
rz(0.0068) q[1];
rx(1.5588) q[2];
rz(0.0074) q[2];
rx(0.2818) q[3];
rz(0.0025) q[3];
rx(0.273) q[4];
rz(0.0059) q[4];
rx(1.6031) q[5];
rz(0.0022) q[5];
rx(1.6068) q[6];
rz(0.0045) 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... | {"k": 5} | {"circuits": [], "gradients": []} |
60668963da06e834e19f76557703de50 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [958, 702], "expectation_value": -18.717965563128597, "params": [-0.0035, 0.9732000000000001, -0.0025, -0.3518, -0.0024000000000000002, 0.9494, 1.2984, 0.2447, 0.9676, 0.5683, 1.1833, 0.4601, -0.0026000000000000003, 0.9667, 1.3004, -0.0021000000000000003, 1.3034000000000001, 0.0033, 1.292, 0.0031000000000000... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 18 | 13 | 2 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110010000000", "1110100000000", "1110011000001", "1110101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0035) q[0];
rz(0.9732) q[0];
rx(-0.0025) q[1];
rz(-0.3518) q[1];
rx(-0.0024) q[2];
rz(0.9494) q[2];
rx(1.2984) q[3];
rz(0.2447) q[3];
rx(0.9676) q[4];
rz(0.5683) q[4];
rx(1.1833) q[5];
rz(0.4601) q[5];
rx(-0.0026) q[6];
rz(0.9667) q[6];
rx(1.3004) 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": 6} | {"circuits": [], "gradients": []} |
b03062475f1287ad31bf0aaec748b841 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 963], "expectation_value": -0.863041690378769, "params": [[-0.0437], [0.0526]], "bitstrings": ["0000000000", "0000111100"], "total_optimization_steps": 10, "probabilities": [0.0013904368624017072, 0.0014092206378056855], "optimization_time": 1.906139612197876} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1311) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1311) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1311) q[3];
cx q[0], q[3];
cx q[5], q[4];
rz(0.2185) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 7} | {"circuits": [], "gradients": []} |
74f1544741d8dc33405b84be7c29f907 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -3.9368798246897247, "params": [[-0.0815], [0.0772]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009139301078758131, 0.009371022822119015], "optimization_time": 4.107667446136475} | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.489) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.489) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.489) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(0.489) q[5];
cx q[2], q[5];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q... | {"node": 0} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [41, 57], "expectation_value": -0.6940426433757956, "params": [1.0859, 0.0018000000000000002, 2.1, 0.0002, 1.6229, 0.0, 2.1085000000000003, 0.0027, 1.0947, 0.009600000000000001, 0.49200000000000005, 0.0058000000000000005, 2.1066000000000003, 0.0057, 0.0022, 0.0095, 0.0045000000000000005, 0.0085, 0.007, 0.003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0859) q[0];
rz(0.0018) q[0];
rx(2.1) q[1];
rz(0.0002) q[1];
rx(1.6229) q[2];
rz(0) q[2];
rx(2.1085) q[3];
rz(0.0027) q[3];
rx(1.0947) q[4];
rz(0.0096) q[4];
rx(0.492) q[5];
rz(0.0058) q[5];
rx(2.1066) q[6];
rz(0.0057) q[6];
crz(0.0022) q[6], q[0];
crz(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": []} |
f81bf46cca70ad09ada391580bab0628 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [197, 133], "expectation_value": -4.980348227999455, "params": [[[0.5038, 0.0014], [0.3164, -0.06770000000000001], [0.0053, 0.0918], [-0.0098, 0.25730000000000003], [0.0007, -0.28090000000000004], [0.5088, 0.0025], [-0.00030000000000000003, 0.2732], [0.4698, 0.0011]], [[0.5044000000000001, 0.0014], [0.3175, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111101", "00111011", "10110011", "01111010", "11010011", "11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5038) q[0];
rz(0.0014) q[0];
rx(0.3164) q[1];
rz(-0.0677) q[1];
rx(0.0053) q[2];
rz(0.0918) q[2];
rx(-0.0098) q[3];
rz(0.2573) q[3];
rx(0.0007) q[4];
rz(-0.2809) q[4];
rx(0.5088) q[5];
rz(0.0025) q[5];
rx(-0.0003) q[6];
rz(0.2732) q[6];
rx(0.4698) 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": []} |
3eae9571be99206e8d251c5f1caa9c72 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [399, 511], "expectation_value": -0.29374859807505804, "params": [[0.042800000000000005], [-0.0398]], "bitstrings": ["001110000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0022166669682420473, 0.002229704116136633], "optimization_time": 1.5799617767333984} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000000000"]} | 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(-0.0856) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1284) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.1712) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0428) q[4];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2... | {"node": 4} | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [115, 123], "expectation_value": -4.4185923870685855, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 59, "probabilities": [0.16476189183352727, 0.6119730066251393], "optimization_time": 66.27852272987366} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5681) q[5];
cry(-1.5681) q[7], q[0];
ry(1.0378) q[7];
ry(-0.5147) q[0];
cry(1.5071) q[7], q[6];
cry(0.289) q[6], q[7];
cry(1.3559) q[7], q[1];
cry(0.9679) q[6], q[2];
cry(0.9384) q[2], q[3];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
3928188676e428b6c75c7255e5b5e044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -12.954368081351323, "params": null, "bitstrings": ["111101110", "101100110"], "total_optimization_steps": 60, "probabilities": [0.1936060412929956, 0.6096660806695061], "optimization_time": 92.32723927497864} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.57) q[3];
cry(-1.5708) q[8], q[0];
ry(1.0258) q[8];
ry(-1.5708) q[6];
ry(-0.0646) q[0];
cry(1.5705) q[8], q[4];
cry(-0.0988) q[4], q[0];
cry(1.5642) q[1], q[5];
cry(1.2307) q[5], q[1... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 18.70163917541504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | 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[5];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -3.8253352362448494, "params": [[[-0.0181, -0.0142], [-0.0046, 0.41540000000000005], [-0.003, -0.0045000000000000005], [-0.0026000000000000003, -0.0033], [-0.0006000000000000001, -0.0024000000000000002], [-0.0029000000000000002, 0.0023], [-1.2464, -0.0005], [0.5616, -0.0035]]... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0181) q[0];
ry(-0.0046) q[1];
ry(-0.003) q[2];
ry(-0.0026) q[3];
ry(-0.0006) q[4];
ry(-0.0029) q[5];
ry(-1.2464) q[6];
ry(0.5616) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
eba59f50c284ea491834da7e16fa8fc7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [217, 214], "expectation_value": -16.422170377636373, "params": [[-0.0453, -0.0179], [0.075, 0.068]], "bitstrings": ["100100110", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007429652028324171, 0.009201917583240331], "optimization_time": 3.476325035095215} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 3.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["100101001"]} | 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(-0.4077) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4077) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.4077) q[3];
cx q[4], q[3];
cx q[1], q[5];
rz(-0.4077) q[5];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.41619083626600806, "params": [[-0.060500000000000005, -0.060500000000000005, -0.043500000000000004], [0.0737, 0.0741, 0.0658]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.02346211060616598, 0.02534425489239304], "optimization_time"... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | 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(0.0303) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0605) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0605) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0303) q[3];
cx q[2], q[3];
cx q[0], q[5];
rz(-0.121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 5} | {"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": [17, 9], "expectation_value": -1.1060844320613539, "params": [0.4093, 0.2685, 0.4142, 0.3055, 0.0847, -0.20370000000000002, 0.09620000000000001, 0.2679, 0.4394, 0.13090000000000002, 0.4016, 0.2874, 0.4062, 0.3085, 0.085, -0.2011, 0.09050000000000001, 0.28140000000000004, 0.43220000000000003, 0.1451, 0.387, 0... | 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) | 3 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.4093) q[0];
rz(0.2685) q[0];
rx(0.4142) q[1];
rz(0.3055) q[1];
rx(0.0847) q[2];
rz(-0.2037) q[2];
rx(0.0962) q[3];
rz(0.2679) q[3];
rx(0.4394) q[4];
rz(0.1309) q[4];
crz(0.3038) q[4], q[3];
crz(-0.2517) q[3], q[2];
crz(0.2149) q[2], q[1];
crz(0.3199) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
317507523039185204 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [7, 6], "expectation_value": -0.003769500384377872, "params": [[[1.5463, 0.0032], [1.5089000000000001, 0.0022], [1.608, 0.009000000000000001], [1.6334000000000002, 0.0061], [1.5583, 0.001]]], "bitstrings": ["11000", "11001"], "total_optimization_steps": 170, "probabilities": [0.03699410619761597, 0.037931783... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.5463) q[0];
rz(0.0032) q[0];
rx(1.5089) q[1];
rz(0.0022) q[1];
rx(1.608) q[2];
rz(0.009) q[2];
rx(1.6334) q[3];
rz(0.0061) q[3];
rx(1.5583) q[4];
rz(0.001) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = me... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.3087521295029627, "params": [[-0.0707, -0.0422], [0.0811, 0.0713]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.019924769105886246, 0.02151549165935894], "optimization_time": 2.1251425743103027} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0707) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0707) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(-0.0707) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(-0.0707) q[5];
cx q[1], q[5];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 24.055025339126587} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | 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[0];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[2];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[3];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4ffbc852e1de75038cf19c57ac0e724b | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [0, 3], "expectation_value": -17.58192810596511, "params": [-0.0017000000000000001, 0.0027, -0.0025, 0.0039000000000000003, -0.0024000000000000002, 0.0027, -0.0027, 0.0077, -0.0025, 0.0049, -0.0023, 0.0098, 0.0023, 0.0099, -0.0021000000000000003, 0.8447, 0.8101, 0.0013000000000000002, -1.6562000000000001, 0.... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + 2.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-18.75, -18.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.75, "smallest_bitstrings": ["1111111100", "1110111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0017) q[0];
rz(0.0027) q[0];
rx(-0.0025) q[1];
rz(0.0039) q[1];
rx(-0.0024) q[2];
rz(0.0027) q[2];
rx(-0.0027) q[3];
rz(0.0077) q[3];
rx(-0.0025) q[4];
rz(0.0049) q[4];
rx(-0.0023) q[5];
rz(0.0098) q[5];
rx(0.0023) q[6];
rz(0.0099) q[6];
rx(-0.0021) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
9800d678f4921072509903db27fda1fd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [239, 207], "expectation_value": -3.0272938256796316, "params": [-0.0011, -0.0741, 0.059000000000000004, 0.6767000000000001, 1.4031, 0.3145, 1.3991, 0.0023, 0.7651, 0.3911, -0.0161, 0.9159, 1.0604, 0.8181, 1.3956000000000002, -0.0102, 1.3903, 0.0008, 1.3911, -0.0037, 0.005, 0.0057, 0.059500000000000004, 0.00... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100001001", "1100010001", "1100010010", "1100011000", "1100110000", "1000110100", "1001001100", "1101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0011) q[0];
rz(-0.0741) q[0];
rx(0.059) q[1];
rz(0.6767) q[1];
rx(1.4031) q[2];
rz(0.3145) q[2];
rx(1.3991) q[3];
rz(0.0023) q[3];
rx(0.7651) q[4];
rz(0.3911) q[4];
rx(-0.0161) q[5];
rz(0.9159) q[5];
rx(1.0604) q[6];
rz(0.8181) q[6];
rx(1.3956) 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": []} |
af56ef2bee9fa35379eebfd165c008bc | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [715, 1739], "expectation_value": -2.786901881788303, "params": [[[0.808, 0.009000000000000001, 0.001, 0.0082], [-0.0048000000000000004, 0.3119, 0.6218, 0.0058000000000000005], [0.7976000000000001, 0.056900000000000006, 0.008400000000000001, 0.0626], [0.0531, 0.0412, 0.2374, 0.005], [0.8055, -0.0013000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.6875, "smallest_bitstrings": ["11000000110", "00011001100", "01000100101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.808) q[0];
rz(0.009) q[0];
ry(-0.0048) q[1];
rz(0.3119) q[1];
ry(0.7976) q[2];
rz(0.0569) q[2];
ry(0.0531) q[3];
rz(0.0412) q[3];
ry(0.8055) q[4];
rz(-0.0013) q[4];
ry(-0.0005) q[5];
rz(-0.2685) q[5];
ry(0.1119) q[6];
rz(-0.3315) q[6];
ry(0.3719) 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": []} |
-8156297579877937853 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 6], [4, 5], [1, 4], [1, 2, 3, 5, 6], [0, 1, 2], [0, 6]]} | {"states": [61, 59], "expectation_value": -2.061804019284396, "params": null, "bitstrings": ["1000010", "1000100"], "total_optimization_steps": 48, "probabilities": [0.05153777404921172, 0.8291791902580595], "optimization_time": 67.33195900917053} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.033333333333334, "smallest_bitstrings": ["0100011", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.0792) q[3];
cry(-1.0061) q[5], q[4];
ry(1.3809) q[1];
cry(-0.511) q[1], q[4];
ry(1.1546) q[5];
ry(-0.4439) q[4];
cry(-1.0301) q[6], q[0];
ry(0.9224) q[6];
ry(-0.6278) q[0];
cry(0.4539) q[1], q[6];
cr... | 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(1.0792) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
1950899674174661020 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 2, 4], [2, 6], [3, 7], [4, 5], [0, 1, 4, 7], [3, 6], [2, 5]]} | {"states": [71, 248], "expectation_value": -1.2686098824391718, "params": [[-0.42850000000000005], [0.41590000000000005]], "bitstrings": ["10111000", "00000111"], "total_optimization_steps": 50, "probabilities": [0.022091865367378817, 0.02319798148691696], "optimization_time": 2.910275936126709} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["00000111"]} | 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(-0.2143) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.1428) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.1428) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.1428) q[2];
cx q[1], 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;
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... | null | {"circuits": [], "gradients": []} |
80414d2e2eb4a15dac1e8a7f58be727c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [36, 52], "expectation_value": -3.5605821551040915, "params": [0.0017000000000000001, -0.1993, 0.4091, -0.0047, 0.40290000000000004, 0.0018000000000000002, 0.1316, 0.0507, 0.40590000000000004, 0.0022, 0.1061, 0.1514, -0.0001, 0.223, 0.0014, -0.1991, 0.4098, -0.0129, 0.3986, 0.0005, 0.128, 0.0555, 0.4078, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0011110", "1101001", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0017) q[0];
rz(-0.1993) q[0];
rx(0.4091) q[1];
rz(-0.0047) q[1];
rx(0.4029) q[2];
rz(0.0018) q[2];
rx(0.1316) q[3];
rz(0.0507) q[3];
rx(0.4059) q[4];
rz(0.0022) q[4];
rx(0.1061) q[5];
rz(0.1514) q[5];
rx(-0.0001) q[6];
rz(0.223) q[6];
crz(0.0095) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f3b0c5d606fee9f65f1e76c663e7b394 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target":... | {"states": [0, 255], "expectation_value": -9.460841286902731, "params": [0.0641, 2.579, 0.14350000000000002, 0.0038, -0.36150000000000004, 3.3585000000000003, -0.0229, 0.0024000000000000002, -0.6714, -2.6498, -0.7175, 0.0029000000000000002, -0.8867, 0.9583, -0.3057, 0.008400000000000001, 0.9796, 1.7429000000000001, -0.... | -1.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0641) q[0];
rz(2.579) q[0];
rx(-0.3615) q[1];
rz(3.3585) q[1];
rx(-0.6714) q[2];
rz(-2.6498) q[2];
rx(-0.8867) q[3];
rz(0.9583) q[3];
rx(0.9796) q[4];
rz(1.7429) q[4];
rx(1.0267) q[5];
rz(2.1798) q[5];
rx(1.0119) q[6];
rz(2.1336) q[6];
rx(0.2789) 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[... | {"node": 1} | {"circuits": [], "gradients": []} |
4ffbc852e1de75038cf19c57ac0e724b | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [3, 67], "expectation_value": -17.958639660302055, "params": [-0.0023, 0.3901, 0.007200000000000001, 0.1453, -0.004200000000000001, 0.5249, -0.0024000000000000002, 0.4894, -0.0009000000000000001, 0.5089, -0.0064, 0.516, 0.3564, -0.0085, 0.33180000000000004, 0.007500000000000001, -0.0006000000000000001, 0.474... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + 2.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-18.75, -18.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.75, "smallest_bitstrings": ["1110111100", "1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0023) q[0];
rz(0.3901) q[0];
rx(-0.0042) q[1];
rz(0.5249) q[1];
rx(-0.0009) q[2];
rz(0.5089) q[2];
rx(0.3564) q[3];
rz(-0.0085) q[3];
rx(-0.0006) q[4];
rz(0.4747) q[4];
rx(-0.0031) q[5];
rz(0.5254) q[5];
rx(-0.0047) q[6];
rz(0.5021) q[6];
rx(-0.0014) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4afda69c42a222bc9f2115981fa30ba0 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [112, 496], "expectation_value": -14.124753296005634, "params": null, "bitstrings": ["110001111", "000001111"], "total_optimization_steps": 73, "probabilities": [0.18597431690580388, 0.5605242675031897], "optimization_time": 115.84993958473206} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -2.0 * Z(8) + -1.5 * Z(5) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[8];
ry(-1.2796) q[6];
ry(-1.5709) q[5];
cry(1.5681) q[4], q[3];
cry(1.231) q[3], q[4];
cry(1.57) q[3], q[2];
cry(-0.2912) q[2], q[6];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0]... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
d56c975033dd057e743f83adc19a7c34 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [37, 75], "expectation_value": -0.858238373917541, "params": [[-0.065, -0.045700000000000005, -0.0375, -0.019200000000000002], [0.078, 0.0651, 0.057800000000000004, 0.0497]], "bitstrings": ["1011010", "0110100"], "total_optimization_steps": 10, "probabilities": [0.014247210807955504, 0.015269223968595324], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100"]} | 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(-0.065) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.065) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.065) q[5];
cx q[1], q[5];
cx q[4], q[5];
rz(-0.065) q[5];
cx q[4], q[5];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3777179041850289675 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 6], [0, 4, 5, 7, 8], [8, 1, 5, 7], [0, 1, 3], [0, 2, 7], [2, 3], [6, 7], [0, 3, 6], [3, 5], [8, 1, 5, 0], [8, 0, 3], [0, 1, 4, 6], [0, 1, 2, 5], [8, 0, 6], [8, 1, 2, 5]]} | {"states": [477, 349], "expectation_value": -2.593131170691066, "params": [1.0013, -0.0, 0.9986, 0.009300000000000001, 1.0061, -0.0029000000000000002, 1.0017, 0.0057, 1.0052, -0.0004, 0.9919, 0.0028, 0.7844, 0.0001, 0.6521, 0.0021000000000000003, 1.0036, 0.0043, 0.9880000000000001, 0.0041, 1.0044, -0.004500000000000000... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["010100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0013) q[0];
rz(0) q[0];
rx(1.0061) q[1];
rz(-0.0029) q[1];
rx(1.0052) q[2];
rz(-0.0004) q[2];
rx(0.7844) q[3];
rz(0.0001) q[3];
rx(1.0036) q[4];
rz(0.0043) q[4];
rx(1.0044) q[5];
rz(-0.0045) q[5];
rx(1.0044) q[6];
rz(-0.0011) q[6];
rx(0.9974) 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": []} |
ae05ce72b7df15983d820553f894fc63 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [0, 223], "expectation_value": -4.195738873968627, "params": [-0.5209, 0.7964, 0.0195, 0.7377, -0.5464, 1.0862, -0.20040000000000002, 0.6132000000000001, -0.4827, 0.19340000000000002, 0.4939, 1.1949, 0.5521, 0.765, -0.2437, 0.8694000000000001, 0.5973, 0.9927, -0.44430000000000003, 0.8015, 0.5798, 1.1169, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 6 | 8 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.5209) q[0];
rz(0.7964) q[0];
rx(-0.5464) q[1];
rz(1.0862) q[1];
rx(-0.4827) q[2];
rz(0.1934) q[2];
rx(0.5521) q[3];
rz(0.765) q[3];
rx(0.5973) q[4];
rz(0.9927) q[4];
rx(0.5798) q[5];
rz(1.1169) q[5];
rx(0.6203) q[6];
rz(1.1733) q[6];
rx(0.6169) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
fbeca3287c88ac656e8f44e35837a20d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [173, 109], "expectation_value": -33.36837699923367, "params": null, "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.0674883042215478, 0.26759242894517665], "optimization_time": 150.84268927574158} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[4];
ry(63.0262) q[5];
ry(63.114) q[2];
cry(1.4809) q[2], q[4];
ry(0.3263) q[7];
cry(0.3699) q[4], q[2];
cry(-0.122) q[4], q[7];
cry(0.2335) q[2], q[7];
cry(-1.4492) q[7], q[6];
cry(1.... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) 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[... |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -8.53069187764905, "params": [[-0.052000000000000005], [0.0762]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007901743206444243, 0.008219266383650089], "optimization_time": 1.6506361961364746} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.416) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.416) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.416) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.416) q[2];
cx q[3], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
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": [1967, 1965], "expectation_value": -4.994903655594172, "params": [1.5502, 0.0018000000000000002, 3.0302000000000002, 0.0002, 1.7082000000000002, 0.0, 1.6279000000000001, 0.0027, 3.0444, 0.009600000000000001, 1.5509000000000002, 0.0058000000000000005, 3.0359000000000003, 0.0057, 1.5489000000000002, 0.0095, 3.... | 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 | 1 | {"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": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5502) q[0];
rz(0.0018) q[0];
rx(3.0302) q[1];
rz(0.0002) q[1];
rx(1.7082) q[2];
rz(0) q[2];
rx(1.6279) q[3];
rz(0.0027) q[3];
rx(3.0444) q[4];
rz(0.0096) q[4];
rx(1.5509) q[5];
rz(0.0058) q[5];
rx(3.0359) q[6];
rz(0.0057) q[6];
rx(1.5489) q[7];
rz(0.009... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
6520583511281792185 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 6], [2, 4, 5, 6, 7], [0, 2, 5, 6, 7, 8], [0, 3, 4, 5, 6], [0, 2, 3, 4, 6, 8], [0, 1, 3, 6, 7], [0, 1, 3, 5], [2, 3, 6, 7, 8], [0, 1, 2, 3, 4, 6], [8, 0, 2, 1], [0, 3, 4, 5, 8], [0, 1, 5, 8], [0, 1, 3, 4, 8], [0, 1, 2, 3, 7]]} | {"states": [365, 251], "expectation_value": -2.090006756906493, "params": [[0.36200000000000004], [-0.35300000000000004]], "bitstrings": ["010010010", "100000100"], "total_optimization_steps": 40, "probabilities": [0.007634995216093289, 0.008912128548042027], "optimization_time": 6.70564603805542} | 0.3833333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.2 * (Z(2) @ Z(8)) + 0.2 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.11666666666666667 * (Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666667, "smallest_bitstrings": ["100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(0.2775) q[8];
cx q[1], q[8];
cx q[1], q[6];
rz(0.181) q[6];
cx q[1], q[6];
cx q[8], q[6];
rz(0.2051) q[6];
cx q[8], q[6];
cx q[1], q[2];
rz(0.1207) q[2];
cx q[1], q[2];
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": []} |
b92c16178f977d94a04901a5809941e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.49851258807808, "params": [0.0032, 0.0043, -0.0029000000000000002, 1.0181, 1.6091, 0.006200000000000001, 0.002, 0.002, 0.0026000000000000003, 0.0048000000000000004, 0.0022, 0.0089, 0.0024000000000000002, 0.0077, 0.0023, 0.0051, 0.0022, 0.003, -0.0026000000000000003, 0.0082,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 4 | 11 | 1 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0032) q[0];
rz(0.0043) q[0];
rx(-0.0029) q[1];
rz(1.0181) q[1];
rx(1.6091) q[2];
rz(0.0062) q[2];
rx(0.002) q[3];
rz(0.002) q[3];
rx(0.0026) q[4];
rz(0.0048) q[4];
rx(0.0022) q[5];
rz(0.0089) q[5];
rx(0.0024) q[6];
rz(0.0077) q[6];
rx(0.0023) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
5034f358b60bb2416ead39a148c379a9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [4, 20], "expectation_value": -3.5192408522555043, "params": [0.4471, -0.1751, 0.0023, -0.4063, 0.0023, 0.606, 0.0028, 0.5978, 0.0026000000000000003, 0.5987, 0.8102, 0.0086, 0.002, 0.454, 0.7998000000000001, 0.46440000000000003, 0.7908000000000001, 0.3195, 0.0028, 0.6069, 0.4441, 0.0031000000000000003, 0.002... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 18 | 10 | 2 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111101011", "1111000011", "1111000101", "1110100011", "1110100101"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4471) q[0];
rz(-0.1751) q[0];
rx(0.0023) q[1];
rz(-0.4063) q[1];
rx(0.0023) q[2];
rz(0.606) q[2];
rx(0.0028) q[3];
rz(0.5978) q[3];
rx(0.0026) q[4];
rz(0.5987) q[4];
rx(0.8102) q[5];
rz(0.0086) q[5];
rx(0.002) q[6];
rz(0.454) q[6];
rx(0.7998) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [44, 39], "expectation_value": -0.05635356014449264, "params": [[0.0334], [-0.0347]], "bitstrings": ["1010011", "1011000"], "total_optimization_steps": 10, "probabilities": [0.008049241813544697, 0.00815783086184726], "optimization_time": 1.4868805408477783} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"]} | 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(0.0334) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0334) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0334) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0334) q[5];
cx q[0], q[5];
cx q[3], q[5];
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [112, 97], "expectation_value": -3.4890655849039938, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 29, "probabilities": [0.06023653945128992, 0.8645368914475874], "optimization_time": 24.05322027206421} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[1];
cry(-1.0343) q[0], q[3];
cry(-1.0343) q[6], q[2];
ry(0.7003) q[0];
ry(0.7003) q[6];
ry(-0.4549) q[3];
cry(0.4963) q[1], q[0];
ry(-0.4549) q[2];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4816d8f1ff3fcf1f26d33946dcce79cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [172, 170], "expectation_value": -4.23695139008782, "params": [0.8981, 0.0025, 0.09190000000000001, 0.3951, 0.9024000000000001, -0.0023, -0.0031000000000000003, 0.3165, 0.9064000000000001, 0.0011, 0.8149000000000001, 0.0109, 0.8993, -0.0233, 0.5954, -0.1236, 0.904, 0.0771, 0.0796, 0.4244, 0.9007000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(3) + -1.0 * Z(7) + ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8981) q[0];
rz(0.0025) q[0];
rx(0.0919) q[1];
rz(0.3951) q[1];
rx(0.9024) q[2];
rz(-0.0023) q[2];
rx(-0.0031) q[3];
rz(0.3165) q[3];
rx(0.9064) q[4];
rz(0.0011) q[4];
rx(0.8149) q[5];
rz(0.0109) q[5];
rx(0.8993) q[6];
rz(-0.0233) q[6];
rx(0.5954) 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": []} |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 151.13090014457703} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.5995) q[2];
ry(29.8457) q[5];
ry(-0.6383) q[7];
ry(63.1298) q[6];
cry(62.5925) q[6], q[2];
ry(30.31) q[3];
cry(62.811) q[4], q[2];
cry(62.821) q[1], q[2];
cry(18.6858) q[2], q[6];
cry(1.1124)... | 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(0.5995) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
ebd69c09281f87c62725144285e9ce8c | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [402, 434], "expectation_value": -5.111421075554775, "params": [0.2999, 0.30210000000000004, 0.3052, 0.303, 0.0016, -0.0045000000000000005, 0.3017, 0.29810000000000003, 0.301, 0.30820000000000003, 0.012700000000000001, 0.0188, 0.231, 0.2056, 0.3042, 0.2993, -0.005, -0.0058000000000000005, 0.3062, 0.3028, 0.3... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(5) + -0.5 * Z(0) + -1.5 *... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001001101", "011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2999) q[0];
ry(0.3052) q[1];
ry(0.0016) q[2];
ry(0.3017) q[3];
ry(0.301) q[4];
ry(0.0127) q[5];
ry(0.231) q[6];
ry(0.3042) q[7];
ry(-0.005) q[8];
crx(-0.0994) q[8], q[0];
crx(-0.1559) q[7], q[8];
crx(0.2918) q[6], q[7];
crx(0.2019) q[5], q[6];
crx(-0.0071... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [2773, 2709], "expectation_value": -0.13495094347248074, "params": [0.3956, 0.0079, 0.3977, 0.0059, 0.37460000000000004, -0.020900000000000002, 0.3672, -0.028200000000000003, 0.3972, 0.0008, 0.3971, 0.0012000000000000001, 0.31970000000000004, 0.027, 0.31120000000000003, 0.0159, 0.4011, 0.004, 0.3932, 0.002, ... | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 6 | 12 | 2 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3956) q[0];
rz(0.0079) q[0];
rx(0.3746) q[1];
rz(-0.0209) q[1];
rx(0.3972) q[2];
rz(0.0008) q[2];
rx(0.3197) q[3];
rz(0.027) q[3];
rx(0.4011) q[4];
rz(0.004) q[4];
rx(0.3949) q[5];
rz(-0.0006) q[5];
rx(0.3985) q[6];
rz(0.0055) q[6];
rx(0.3968) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
351f46008c2fa6d2dfb6c8e40fb9b957 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [185, 697], "expectation_value": -2.710290491584449, "params": [0.3509, 0.1051, 0.3491, 0.1423, 0.24200000000000002, 0.30910000000000004, 0.17550000000000002, 0.3074, 0.4153, 0.0235, 0.42160000000000003, 0.1105, 0.14450000000000002, -0.19990000000000002, 0.1484, -0.20550000000000002, 0.4577, -0.0443, 0.4515,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 7 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001100", "0011000110", "0011000101", "0010011100", "0101000110", "10100011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3509) q[0];
rz(0.1051) q[0];
rx(0.242) q[1];
rz(0.3091) q[1];
rx(0.4153) q[2];
rz(0.0235) q[2];
rx(0.1445) q[3];
rz(-0.1999) q[3];
rx(0.4577) q[4];
rz(-0.0443) q[4];
rx(0.5262) q[5];
rz(0.0006) q[5];
rx(0.3909) q[6];
rz(-0.0004) q[6];
rx(0) q[7];
rz(0.3... | 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": []} |
8b93e94e7d120e46148ad446833ed9fa | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [2040, 2047], "expectation_value": -1.8165921271323469, "params": [[0.0545], [-0.0495]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0007828729468063189, 0.0007895266899638682], "optimization_time": 0.9872074127197266} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.109) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.327) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0545) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.327) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 11} | {"circuits": [], "gradients": []} |
e1d1d966936db8b0a168f391b43f0ca9 | 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": [1122, 1126], "expectation_value": -87.57144485254547, "params": [2.7042, 0.004200000000000001, 0.5177, 0.007, -0.0019, 0.0017000000000000001, -0.0024000000000000002, 0.0077, 2.6981, 0.0038, 2.708, 0.0082, 1.4789, 0.0022, 1.3754, 0.0043, 1.5806, 0.0083, 2.7069, 0.00030000000000000003, -0.0025, 0.003400000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 5.5 * Z(0) + 15.0 * Z(5) + -6.0 * Z(2) + 11.0 * Z(6) + 13.0 * Z(4... | 18 | 11 | 1 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["01110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.7042) q[0];
rz(0.0042) q[0];
rx(0.5177) q[1];
rz(0.007) q[1];
rx(-0.0019) q[2];
rz(0.0017) q[2];
rx(-0.0024) q[3];
rz(0.0077) q[3];
rx(2.6981) q[4];
rz(0.0038) q[4];
rx(2.708) q[5];
rz(0.0082) q[5];
rx(1.4789) q[6];
rz(0.0022) q[6];
rx(1.3754) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
c8cf809fba905d2efd77771dd1d79347 | 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": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [196, 204], "expectation_value": -4.366488145460275, "params": [0.39840000000000003, -0.0049, 0.39930000000000004, -0.0044, 0.4035, -0.00030000000000000003, 0.404, -0.0001, 0.0027, 0.2142, -0.00030000000000000003, 0.2124, -0.0167, 0.229, -0.0187, 0.22970000000000002, 0.35660000000000003, 0.001200000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z(3) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110001", "00110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3984) q[0];
rz(-0.0049) q[0];
rx(0.4035) q[1];
rz(-0.0003) q[1];
rx(0.0027) q[2];
rz(0.2142) q[2];
rx(-0.0167) q[3];
rz(0.229) q[3];
rx(0.3566) q[4];
rz(0.0012) q[4];
rx(0.4026) q[5];
rz(0.0004) q[5];
rx(0.0355) q[6];
rz(0.1784) q[6];
rx(-0.0153) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
56c0c0bc0b849747ea8b27c6bdb966f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"sour... | {"states": [142, 174], "expectation_value": -3.980414954136813, "params": [1.5752000000000002, -0.0011, 1.6119, 0.0035, 0.5398000000000001, 0.0029000000000000002, 1.6128, -0.0028, 0.8277, -0.5972000000000001, 1.5995000000000001, 0.0013000000000000002, 1.5986, 0.0036000000000000003, 1.601, -0.5694, 0.0029000000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(7) + -1.5 * Z(8) + -1.0 * Z(2) + -0.5 * Z... | 4 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5752) q[0];
rz(-0.0011) q[0];
rx(1.6119) q[1];
rz(0.0035) q[1];
rx(0.5398) q[2];
rz(0.0029) q[2];
rx(1.6128) q[3];
rz(-0.0028) q[3];
rx(0.8277) q[4];
rz(-0.5972) q[4];
rx(1.5995) q[5];
rz(0.0013) q[5];
rx(1.5986) q[6];
rz(0.0036) q[6];
rx(1.601) 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": []} |
dad38620d773633bef63523b985cc4e3 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [127, 63], "expectation_value": -18.518819671713327, "params": [[[-1.61, 0.0082], [0.0024000000000000002, 0.008400000000000001], [0.0023, 0.0098], [0.0025, 0.0098], [0.0023, 0.0074], [0.0023, 0.0028], [3.1619, 0.003]]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 320, "probabilities": [... | -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.5 ... | 2 | 7 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-1.61) q[0];
rz(0.0082) q[0];
rx(0.0024) q[1];
rz(0.0084) q[1];
rx(0.0023) q[2];
rz(0.0098) q[2];
rx(0.0025) q[3];
rz(0.0098) q[3];
rx(0.0023) q[4];
rz(0.0074) q[4];
rx(0.0023) q[5];
rz(0.0028) q[5];
rx(3.1619) q[6];
rz(0.003) q[6];
cx q[6], q[5];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} |
a238ea382c7dc73ed8f6a6edbed535c4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -7.244037652133843, "params": [-0.0345, -0.0267, -0.0235, -0.0109, -0.007200000000000001, 0.19790000000000002, -0.0002, 0.2323, 0.3017, 0.0004, 0.3005, 0.0005, -0.0025, 0.23650000000000002, -0.0031000000000000003, 0.2361, -0.0017000000000000001, 0.2074, -0.0031000000000000003, ... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(10)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["11010010110", "11011111111", "11010010111", "11000010110", "11011110110", "11011110111", "11011111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0345) q[0];
rz(-0.0267) q[0];
rx(-0.0072) q[1];
rz(0.1979) q[1];
rx(0.3017) q[2];
rz(0.0004) q[2];
rx(-0.0025) q[3];
rz(0.2365) q[3];
rx(-0.0017) q[4];
rz(0.2074) q[4];
rx(-0.0025) q[5];
rz(0.1769) q[5];
rx(0.0006) q[6];
rz(0.2339) q[6];
rx(-0.0009) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
4ce3f767ff46d68a338dc8273a45916a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"source": 2, "target": 10}, {"source":... | {"states": [0, 768], "expectation_value": -1.1071250684267877, "params": [[0.0367], [-0.025]], "bitstrings": ["1111111111", "0011111111"], "total_optimization_steps": 10, "probabilities": [0.0012044791562776799, 0.0012132588567563716], "optimization_time": 1.1049811840057373} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(2)) + -3.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(8)) + -3.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(9)) + 1.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(8)) + -4.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["0011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0734) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2202) q[2];
cx q[3], q[2];
cx q[3], q[8];
rz(-0.2569) q[8];
cx q[3], q[8];
cx q[2], q[8];
rz(-0.2569) q[8];
c... | 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": 9} | {"circuits": [], "gradients": []} |
475b2f0a232bb0d3ab64793dc24452cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 28], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1110001", "1100011"], "total_optimization_steps": 24, "probabilities": [0.0670089640007756, 0.929746062324705], "optimization_time": 27.44840908050537} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[6];
ry(1.4449) q[3];
ry(1.4417) q[4];
cry(-1.0398) q[2], q[5];
ry(0.7022) q[2];
ry(-0.4578) q[5];
cry(0.497) q[3], q[2];
cry(-0.3761) q[3], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-5645140833631158210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 4], [1, 10], [5, 6], [0, 2], [2, 7], [4, 6], [11, 6], [5, 7], [9, 10], [10, 6], [9, 6], [10, 5], [8, 3], [2, 5], [8, 0], [8, 5], [8, 11], [0, 1], [0, 7], [8, 10], [9, 11], [1, 4], [10, 11], [9, 4]]} | {"states": [2497, 2499], "expectation_value": -0.3636158768041979, "params": [[[1.8212000000000002, 0.0088], [1.3497000000000001, 0.0057], [1.3529, 0.0091], [1.7517, 0.0016], [1.7909000000000002, 0.0083], [1.8211000000000002, 0.0097], [1.3444, 0.0034000000000000002], [1.3189, 0.006500000000000001], [1.3652, 0.0023], [1... | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["011000111100", "100111000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8212) q[0];
rz(0.0088) q[0];
rx(1.3497) q[1];
rz(0.0057) q[1];
rx(1.3529) q[2];
rz(0.0091) q[2];
rx(1.7517) q[3];
rz(0.0016) q[3];
rx(1.7909) q[4];
rz(0.0083) q[4];
rx(1.8211) q[5];
rz(0.0097) q[5];
rx(1.3444) q[6];
rz(0.0034) q[6];
rx(1.3189) 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": []} |
9e7016c164f10697b0206c1127149a76 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -3.881367808458391, "params": [[0.0635], [-0.0666]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.021024357776157538, 0.021303626116948738], "optimization_time": 2.7063491344451904} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | 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(0.2858) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2858) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2858) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2858) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2858... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 4} | {"circuits": [], "gradients": []} |
2600781715020844595 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 4], [0, 3], [0, 11], [3, 5], [10, 3], [8, 11], [8, 10], [9, 7], [9, 10], [1, 9], [8, 3], [8, 9], [1, 10], [9, 6], [10, 7], [8, 6], [2, 7]]} | {"states": [3390, 3134], "expectation_value": -0.005971424241197551, "params": [1.5889, 0.0004, 1.6289, 0.0044, 1.5298, 0.0074, 1.5664, 0.0055000000000000005, 1.5039, 0.0089, 1.566, 0.0008, 1.5923, 0.0012000000000000001, 1.617, 0.0055000000000000005, 1.5938, 0.008700000000000001, 1.6232, 0.004, 1.5945, 0.0023, 1.5485, ... | 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(2)) + 0.5... | 16 | 12 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["110000111110", "101010010011", "110000110110", "001111001001", "010101101100", "001111000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5889) q[0];
rz(0.0004) q[0];
rx(1.6289) q[1];
rz(0.0044) q[1];
rx(1.5298) q[2];
rz(0.0074) q[2];
rx(1.5664) q[3];
rz(0.0055) q[3];
rx(1.5039) q[4];
rz(0.0089) q[4];
rx(1.566) q[5];
rz(0.0008) q[5];
rx(1.5923) q[6];
rz(0.0012) q[6];
rx(1.617) 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": []} |
13897d244e0881b4447dd2a9a298bf14 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [123, 118], "expectation_value": -23.980552378747923, "params": [[0.0328, 0.0112, -0.0023, -0.0031000000000000003], [-0.0658, -0.0584, -0.042, -0.042300000000000004]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015315879038231006, 0.02001454980219623], "optimi... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 1 | 8 | 4 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2624) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2624) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2624) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2624) q[3];
cx q[0], 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
2ef120a5f38973e3e190ac7733ed0216 | 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": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [894, 878], "expectation_value": -1.1221768730015547, "params": [[[0.7219, 0.0023], [1.8869, 0.0095], [1.9007, 0.0025], [0.6962, 0.0026000000000000003], [1.9043, 0.0083], [1.8976000000000002, 0.0043], [1.5013, 0.0055000000000000005], [1.9108, 0.0068000000000000005], [1.9058000000000002, 0.0097], [1.905, 0.00... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100000101", "10010010001", "01010101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7219) q[0];
rz(0.0023) q[0];
rx(1.8869) q[1];
rz(0.0095) q[1];
rx(1.9007) q[2];
rz(0.0025) q[2];
rx(0.6962) q[3];
rz(0.0026) q[3];
rx(1.9043) q[4];
rz(0.0083) q[4];
rx(1.8976) q[5];
rz(0.0043) q[5];
rx(1.5013) q[6];
rz(0.0055) q[6];
rx(1.9108) 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": []} |
89d2568fe7c642f4bbe0504cad32fa0e | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1901, 877], "expectation_value": -2.3668304770013826, "params": [[[0.47700000000000004, -0.1013], [0.7013, 0.0005], [0.6984, -0.0006000000000000001], [0.21960000000000002, -0.2391], [0.7050000000000001, -0.0012000000000000001], [0.7028, 0.0006000000000000001], [0.053500000000000006, -0.327], [0.7018, 0.0003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(7)) + ... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["01010100010", "10010010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.477) q[0];
rz(-0.1013) q[0];
rx(0.7013) q[1];
rz(0.0005) q[1];
rx(0.6984) q[2];
rz(-0.0006) q[2];
rx(0.2196) q[3];
rz(-0.2391) q[3];
rx(0.705) q[4];
rz(-0.0012) q[4];
rx(0.7028) q[5];
rz(0.0006) q[5];
rx(0.0535) q[6];
rz(-0.327) q[6];
rx(0.7018) 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": []} |
9155746045207150288 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2], [4, 5, 6], [0, 1, 4], [1, 3, 5], [0, 2, 4], [0, 2, 5]]} | {"states": [61, 54], "expectation_value": -0.06345275409249927, "params": [[0.07100000000000001], [-0.0748]], "bitstrings": ["1000010", "1001001"], "total_optimization_steps": 10, "probabilities": [0.00825914189917948, 0.008316501040766628], "optimization_time": 0.622450590133667} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0473) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0237) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.071) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0237) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
6d3ac8777508c3ce14be216c4e1f05a6 | 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": 0, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [831, 319], "expectation_value": -8.38897340355047, "params": [[-0.1255], [0.2675]], "bitstrings": ["0011000000", "1011000000"], "total_optimization_steps": 30, "probabilities": [0.008174618544730203, 0.0081896466933061], "optimization_time": 2.785252571105957} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -3.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1011000000"]} | 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(-0.1255) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1255) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1255) q[3];
cx q[0], q[3];
cx q[5], q[4];
rz(0.502) q[4];
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;
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(... | {"node": 0} | {"circuits": [], "gradients": []} |
38980211450f7282c15e0ab435ff2cd6 | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -4.578787309197593, "params": [[[0.0033, 0.4242], [0.0022, 0.6039], [0.0028, 0.5978], [0.0025, 0.5938], [0.0024000000000000002, 0.4786], [0.8058000000000001, -0.0038]], [[0.0038, 0.009600000000000001], [0.0022, 0.0004], [0.0028, 0.0051], [0.0025, 0.0068000000000000005], [0.0022, ... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0033) q[0];
rz(0.4242) q[0];
rx(0.0022) q[1];
rz(0.6039) q[1];
rx(0.0028) q[2];
rz(0.5978) q[2];
rx(0.0025) q[3];
rz(0.5938) q[3];
rx(0.0024) q[4];
rz(0.4786) q[4];
rx(0.8058) q[5];
rz(-0.0038) q[5];
rx(0.0038) q[0];
rz(0.0096) q[0];
rx(0.0022) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.1749240019709307, "params": [[-0.0368, 0.0543, 0.0704, 0.0653], [0.0799, -0.0051, -0.0454, -0.054400000000000004]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.077866340067406, 0.077866340067406], "optimization_time": 2.3792150020599365} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0368) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0368) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0368) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0368) q[1];
cx q[3], q[1];
rz(0.0368) q[0];
rz(0.0368) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
c31960310eb284d493a369e45529e3bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -18.514209659497563, "params": [[-0.0281, -0.0196], [0.0543, 0.0659]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0059054835172070936, 0.006623541905821077], "optimization_time": 3.530367851257324} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 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(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2529) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2529) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2529) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2529) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f27f895781baa6e2730634ac306954bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [187, 155], "expectation_value": -3.9777559082048284, "params": [[[-0.0177, -0.3099], [0.6015, -0.0023], [-0.016900000000000002, -0.31220000000000003], [0.49210000000000004, -0.057], [0.6006, -0.004], [0.5675, 0.0009000000000000001], [-0.0067, 0.315], [0.6007, 0.0038], [0.6046, 0.0033]], [[-0.014700000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -2.0 * Z(6) + -0.5 * Z(8) + 0.0 * Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["001100101", "101100100", "110100100", "101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0177) q[0];
rz(-0.3099) q[0];
rx(0.6015) q[1];
rz(-0.0023) q[1];
rx(-0.0169) q[2];
rz(-0.3122) q[2];
rx(0.4921) q[3];
rz(-0.057) q[3];
rx(0.6006) q[4];
rz(-0.004) q[4];
rx(0.5675) q[5];
rz(0.0009) q[5];
rx(-0.0067) q[6];
rz(0.315) q[6];
rx(0.6007) 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": []} |
f873cf0048fc44701f70d0f09e6d1420 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [85, 87], "expectation_value": -7.981229824185594, "params": [[0.1096, 0.0682, 0.111, 0.11280000000000001], [-0.2707, -0.19640000000000002, -0.1487, -0.1622]], "bitstrings": ["10101010", "10101000"], "total_optimization_steps": 30, "probabilities": [0.06037593525418859, 0.06113154038494095], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10101010", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.1096) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(-0.2192) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(-0.274) q[1];
cx q[3], q[1];
cx q[1], q[6];
rz(-0.2192) q[6];
cx q[1], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [237, 236], "expectation_value": -2.0112667594124685, "params": [0.5051, -0.0007, 0.5021, 0.0009000000000000001, 0.49660000000000004, 0.0, -0.0027, 0.3784, 0.5045000000000001, 0.0056, 0.5071, 0.0009000000000000001, -0.0026000000000000003, -0.35250000000000004, 0.30010000000000003, 0.10010000000000001, 0.5081... | 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... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5051) q[0];
rz(-0.0007) q[0];
rx(0.5021) q[1];
rz(0.0009) q[1];
rx(0.4966) q[2];
rz(0) q[2];
rx(-0.0027) q[3];
rz(0.3784) q[3];
rx(0.5045) q[4];
rz(0.0056) q[4];
rx(0.5071) q[5];
rz(0.0009) q[5];
rx(-0.0026) q[6];
rz(-0.3525) q[6];
rx(0.3001) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"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": -1.2142980620402244, "params": [[-0.0522, -0.0308, -0.0512, -0.0572], [0.07690000000000001, 0.039400000000000004, 0.0579, 0.058]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.03442377350020129, 0.03544807343479692], "optimization_time"... | -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 | 4 | {"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];
cx q[1], q[0];
rz(0.0522) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0522) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0522) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.1305) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.1305... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -9.263029517599936, "params": [[0.0495], [-0.0653]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.007237145381496668, 0.007914526487729681], "optimization_time": 1.8874170780181885} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"]} | 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(0.396) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.396) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.396) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.396) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
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