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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8bfdc67b849fbd87b046066dfe87fda5 | 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": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"sour... | {"states": [202, 458], "expectation_value": -3.73838262024786, "params": [0.2871, 0.2898, 0.3015, 0.29860000000000003, 0.2995, 0.2998, -0.006500000000000001, -0.005200000000000001, -0.013800000000000002, -0.0078000000000000005, 0.3013, 0.29910000000000003, -0.0137, -0.0178, 0.298, 0.29910000000000003, 0.096, 0.09870000... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5) | 13 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["000010111", "000110101", "100010110", "100110100", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2871) q[0];
ry(0.3015) q[1];
ry(0.2995) q[2];
ry(-0.0065) q[3];
ry(-0.0138) q[4];
ry(0.3013) q[5];
ry(-0.0137) q[6];
ry(0.298) q[7];
ry(0.096) q[8];
crz(-0.1205) q[8], q[0];
crz(-0.0907) q[7], q[8];
crz(-0.1592) q[6], q[7];
crz(0.0058) q[5], q[6];
crz(0.1... | 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": []} |
-2259529078783254842 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [1, 3], [1, 2], [6, 7], [0, 2], [1, 7], [3, 6], [1, 5]]} | {"states": [389, 404], "expectation_value": -0.03990821974826607, "params": [[0.054900000000000004], [-0.0458]], "bitstrings": ["001111010", "001101011"], "total_optimization_steps": 10, "probabilities": [0.002112933501588339, 0.002112933501588339], "optimization_time": 1.5261952877044678} | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010100", "110000101", "001111010", "001101011"]} | 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[4], q[8];
rz(0.0549) q[8];
cx q[4], q[8];
cx q[3], q[1];
rz(0.0549) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.0549) q[2];
cx q[1], q[2];
cx q[3], q[6];
rz(0.0549) q[6];
cx q[3], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[8];
rz(x0) q[8];
cx q[4], q[8];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];... | null | {"circuits": [], "gradients": []} |
6546007efe380a6404e96465ab5a20ad | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [183, 181], "expectation_value": -61.287239674957924, "params": [0.0211, 0.0111, 0.49560000000000004, 0.4903, 0.075, 0.0767, 0.4974, 0.49860000000000004, 0.4919, 0.4954, 0.1903, 0.1778, 0.4938, 0.4899, 0.1872, 0.1908, 0.4902, 0.49300000000000005, -0.0054, -0.0064, 0.49520000000000003, 0.4979, 0.0841000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + -3.5 * Z(0) + 6.5 * Z(1) + 0.5 * Z(2) + 8.5 * Z(3) + 7.0 * Z(4) + 4.5 * Z(5) + 16.5 * Z(8) + 5.0 * Z(7) + 7.0 * Z(6) | 14 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0211) q[0];
ry(0.4956) q[1];
ry(0.075) q[2];
ry(0.4974) q[3];
ry(0.4919) q[4];
ry(0.1903) q[5];
ry(0.4938) q[6];
ry(0.1872) q[7];
ry(0.4902) q[8];
crx(-0.048) q[8], q[0];
crx(-0.3478) q[7], q[8];
crx(-0.3768) q[6], q[7];
crx(0.4921) q[5], q[6];
crx(-0.058... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 150.32854199409485} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 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(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "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(63.0918) q[1];
ry(37.6583) q[5];
ry(-0.8066) q[7];
ry(63.1203) q[2];
ry(11.4534) q[6];
cry(63.0215) q[2], q[5];
cry(30.0723) q[1], q[5];
ry(10.6781) q[4];
ry(3.4165) q[0];
cry(-5.2002) q[1], q[... | 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(63.0918) 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... |
d5e68b7cb40e3e00186b17cefd0000ce | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "ta... | {"states": [1941, 1429], "expectation_value": -2.847051075641541, "params": [[[1.106, 0.0008], [0.7859, -0.1573], [0.8115, 0.1393], [1.0984, -0.0008], [-0.0063, -0.0021000000000000003], [-0.0027, 0.6887], [1.0988, 0.0014], [0.49460000000000004, 0.2944], [1.1058000000000001, 0.0007], [-0.0018000000000000002, 0.7709], [1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -3.3125, "smallest_bitstrings": ["01001100011", "00101100110", "01101100010", "00101101010", "00011101010", "10001101010", "01001101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.106) q[0];
rz(0.0008) q[0];
rx(0.7859) q[1];
rz(-0.1573) q[1];
rx(0.8115) q[2];
rz(0.1393) q[2];
rx(1.0984) q[3];
rz(-0.0008) q[3];
rx(-0.0063) q[4];
rz(-0.0021) q[4];
rx(-0.0027) q[5];
rz(0.6887) q[5];
rx(1.0988) q[6];
rz(0.0014) q[6];
rx(0.4946) 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": []} |
7580317451882973347 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1, 3]]} | {"states": [5, 9], "expectation_value": -0.009929420119190086, "params": [[-0.051300000000000005], [0.0653]], "bitstrings": ["1010", "0110"], "total_optimization_steps": 10, "probabilities": [0.06374690224188839, 0.06374690224188839], "optimization_time": 0.31993579864501953} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"]} | 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[3], q[2];
rz(-0.0513) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0171) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0171) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0171) q[1];
cx q[0], q[1];
rz(-0.0171) q[3];
rz(0) q[2];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x... | null | {"circuits": [], "gradients": []} |
0f27b0294b78fd0567c1bda61bfa82fd | 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": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [210, 242], "expectation_value": -3.4596958811217506, "params": [[[0.1898, 0.3551], [0.9101, 0.003], [0.9064000000000001, -0.004], [0.8704000000000001, -0.0035], [0.9106000000000001, -0.0019], [0.0748, -0.4156], [-0.0058000000000000005, -0.463], [0.9104000000000001, -0.0022], [0.19390000000000002, 0.3435]], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(8) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1898) q[0];
rz(0.3551) q[0];
rx(0.9101) q[1];
rz(0.003) q[1];
rx(0.9064) q[2];
rz(-0.004) q[2];
rx(0.8704) q[3];
rz(-0.0035) q[3];
rx(0.9106) q[4];
rz(-0.0019) q[4];
rx(0.0748) q[5];
rz(-0.4156) q[5];
rx(-0.0058) q[6];
rz(-0.463) q[6];
rx(0.9104) 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": []} |
a07625cca84d78086a82f53802ed13a6 | 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": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -10.87180168154755, "params": [0.0039000000000000003, -0.2404, 0.0019, -0.2652, 0.0026000000000000003, -0.29200000000000004, 0.0041, -0.2761, 0.0055000000000000005, -0.2639, 0.0006000000000000001, -0.2506, 0.0007, -0.2795, 0.0045000000000000005, -0.2807, 0.0019, -0.2931, 0.003400... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z... | 5 | 10 | 2 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0039) q[0];
rz(-0.2404) q[0];
rx(0.0026) q[1];
rz(-0.292) q[1];
rx(0.0055) q[2];
rz(-0.2639) q[2];
rx(0.0007) q[3];
rz(-0.2795) q[3];
rx(0.0019) q[4];
rz(-0.2931) q[4];
rx(0.002) q[5];
rz(-0.2856) q[5];
rx(0.0052) q[6];
rz(-0.2602) q[6];
rx(0.0017) 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": 9} | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | 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": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1366, 1382], "expectation_value": -1.5079150241595862, "params": [-0.0079, -0.0014, 0.7895000000000001, 0.7861, -0.007500000000000001, 0.004200000000000001, 0.7844, 0.7814, -0.0088, 0.0167, 0.7847000000000001, 0.7806000000000001, -1.1294, -0.6588, 0.7276, 0.7078, -0.0053, 0.0027, 0.7916000000000001, 0.7852,... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["101010011001", "010101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0079) q[0];
ry(0.7895) q[1];
ry(-0.0075) q[2];
ry(0.7844) q[3];
ry(-0.0088) q[4];
ry(0.7847) q[5];
ry(-1.1294) q[6];
ry(0.7276) q[7];
ry(-0.0053) q[8];
ry(0.7916) q[9];
ry(0.7872) q[10];
ry(0.0141) q[11];
crz(-1.2847) q[11], q[0];
crz(-0.3007) q[10], 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 15.268057584762573} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "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];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
cry(-1.0342) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[0];
ry(-0.4549) q[1];
ry(-0.4549) q[2];
cry(0.4578) q[4], q[0];
cry(0.4515) q[0], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9189925126353498498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 7], [2, 5], [8, 3, 6], [0, 1, 3, 6], [4, 5]]} | {"states": [427, 399], "expectation_value": -0.8618942344592744, "params": [[-0.5424], [0.4187]], "bitstrings": ["001010100", "001110000"], "total_optimization_steps": 60, "probabilities": [0.008189817319274944, 0.008189817319274945], "optimization_time": 7.273372173309326} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["001110000", "100001001", "000101010"]} | 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(-0.0904) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(-0.0904) q[4];
cx q[1], q[4];
cx q[8], q[4];
rz(-0.0904) q[4];
cx q[8], q[4];
cx q[1], q[7];
rz(-0.0904) q[7];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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(x0) q[8];
... | null | {"circuits": [], "gradients": []} |
9756af23cb7c589059b7e2308fee7505 | 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": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [2047, 2046], "expectation_value": -0.6993802361491643, "params": [[0.0756], [-0.08070000000000001]], "bitstrings": ["00000000000", "00000000001"], "total_optimization_steps": 10, "probabilities": [0.000797884637870983, 0.0008174956517128061], "optimization_time": 2.3233249187469482} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + -0.5 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000000001"]} | 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(-0.1512) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1512) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.2268) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.2268... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} |
-2269746105006951689 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 5, 6, 7], [0, 1, 3, 4], [0, 4, 5, 6, 7], [0, 2, 5, 6, 7]]} | {"states": [173, 189], "expectation_value": -0.7213287180223523, "params": null, "bitstrings": ["01010010", "01000010"], "total_optimization_steps": 57, "probabilities": [0.12103693503412256, 0.2555418379125776], "optimization_time": 109.20618081092834} | 0.023809523809523808 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.0238095238... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.8404761904761902, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2129) q[0];
ry(0.8017) q[7];
ry(0.5648) q[4];
cry(0.3871) q[0], q[4];
cry(0.3108) q[0], q[7];
cry(-0.2862) q[5], q[6];
cry(0.2552) q[7], q[4];
cry(-0.2558) q[6], q[5];
cry(0.221) q[4], q[7];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2129) 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[... |
c5d64ed1606b01b0449fbdbfaa48958e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [470, 469], "expectation_value": -2.0986731025377328, "params": [[[0.6302, 0.049300000000000004], [0.6994, 0.0439], [0.6985, 0.0795], [0.7070000000000001, 0.07680000000000001], [0.1174, 0.0454], [0.5317000000000001, 0.051300000000000005], [0.3894, 0.1015], [0.6053000000000001, 0.1332], [0.057600000000000005,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010001", "0100111000", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6302) q[0];
ry(0.6994) q[1];
ry(0.6985) q[2];
ry(0.707) q[3];
ry(0.1174) q[4];
ry(0.5317) q[5];
ry(0.3894) q[6];
ry(0.6053) q[7];
ry(0.0576) q[8];
ry(0.2339) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -7.794050000805612, "params": [0.1101, 0.26430000000000003, 0.1948, 0.2579, 0.19920000000000002, 0.2639, 0.1955, 0.26990000000000003, 0.5334, 0.1111, 0.5181, 0.16870000000000002, 0.523, 0.1296, 0.1063, 0.2651, 0.1895, 0.2581, 0.1956, 0.2624, 0.1917, 0.266, 0.5363, 0.1369, 0.5212,... | 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(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 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 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1101) q[0];
rz(0.2643) q[0];
rx(0.1948) q[1];
rz(0.2579) q[1];
rx(0.1992) q[2];
rz(0.2639) q[2];
rx(0.1955) q[3];
rz(0.2699) q[3];
rx(0.5334) q[4];
rz(0.1111) q[4];
rx(0.5181) q[5];
rz(0.1687) q[5];
rx(0.523) q[6];
rz(0.1296) q[6];
crz(0.2456) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -9.799394804005196, "params": [0.5119, 0.9816, -0.2205, 0.7021000000000001, -0.5526, 0.7743, 0.43970000000000004, 0.8951, -0.5605, 0.8635, 0.4053, 1.2922, -0.6205, 0.913, 0.48600000000000004, 1.29, -0.0008, 0.4116, -0.010700000000000001, 0.9751000000000001, -0.002, 0.266, -0.00... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5119) q[0];
rz(0.9816) q[0];
rx(-0.5526) q[1];
rz(0.7743) q[1];
rx(-0.5605) q[2];
rz(0.8635) q[2];
rx(-0.6205) q[3];
rz(0.913) q[3];
rx(-0.0008) q[4];
rz(0.4116) q[4];
rx(-0.002) q[5];
rz(0.266) q[5];
rx(-0.5326) q[6];
rz(0.748) q[6];
rx(-0.5196) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_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": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 13.66724157333374} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[1];
cry(1.4449) q[4], q[2];
cry(-1.3016) q[4], q[0];
cry(0.909) q[2], q[4];
cry(-0.5426) q[2], q[0];
ry(0.167) q[4];
ry(0.1793) q[2];
cry(0.4711) q[1], q[3];
ry(0.3841) q[3];
cry(0.1949) q[3], q[0];
cry(0.27... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
f8645113517905e1df1749520352d679 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [252, 220], "expectation_value": -60.99776290813843, "params": [0.3371, 0.28550000000000003, 0.787, -0.0037, 0.795, 0.0828, 0.3593, 0.2571, 0.791, -0.005, 0.7929, 0.0037, 0.7855000000000001, -0.0975, 0.2843, -0.22790000000000002, 0.0887, 0.3659, 0.34550000000000003, 0.28400000000000003, 0.7897000000000001, -... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 18 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3371) q[0];
rz(0.2855) q[0];
rx(0.787) q[1];
rz(-0.0037) q[1];
rx(0.795) q[2];
rz(0.0828) q[2];
rx(0.3593) q[3];
rz(0.2571) q[3];
rx(0.791) q[4];
rz(-0.005) q[4];
rx(0.7929) q[5];
rz(0.0037) q[5];
rx(0.7855) q[6];
rz(-0.0975) q[6];
rx(0.2843) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-7739610040534451971 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 3], [11, 7], [0, 2, 4, 5, 7, 8, 9, 10], [9, 2, 11], [1, 7], [4, 5, 6, 9, 10, 11], [9, 1], [0, 6, 9, 10, 11], [0, 1, 3, 4], [0, 1, 3, 5, 8, 11], [0, 6, 8, 10, 11], [0, 4, 5, 8, 10, 11], [8, 3, 4, 5], [1, 10, 11], [0, 4, 6, 9, 11], [0, 2, 11], [8, 2, 5,... | {"states": [2814, 2782], "expectation_value": -3.6652978685421687, "params": [[[2.3944, 0.0011, 0.0054, 0.0064], [-0.0013000000000000002, -0.011300000000000001, -0.0005, 0.0016], [2.3975, 0.006900000000000001, 0.0007, 0.006900000000000001], [0.9640000000000001, -0.002, 0.40180000000000005, 0.005], [2.3976, 0.0006000000... | 0.5 * (Z(9) @ Z(3)) + 0.03333333333333333 * (Z(11) @ Z(3)) + 0.3 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.017857142857142856 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.11666666666666667 * (Z(0) @ Z(3)) + 0.11785714285714287 * (Z(0) @ Z(9)) + 0.3833333333333333 * (Z(0) @ Z(11)) + 0.017857142857142856 *... | 12 | 12 | 1 | {"smallest_eigenvalues": [-5.066666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0214285714285705, "smallest_bitstrings": ["010100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(2.3944) q[0];
rz(0.0011) q[0];
ry(-0.0013) q[1];
rz(-0.0113) q[1];
ry(2.3975) q[2];
rz(0.0069) q[2];
ry(0.964) q[3];
rz(-0.002) q[3];
ry(2.3976) q[4];
rz(0.0006) q[4];
ry(0.0032) q[5];
rz(-0.0343) q[5];
ry(1.5484) q[6];
rz(0.0036) q[6];
ry(-0.0039) 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": []} |
-2549676127264746355 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [0, 2, 5], [3, 5], [1, 5, 6], [0, 6], [2, 4], [5, 7], [1, 2, 6], [2, 7], [0, 1, 4]]} | {"states": [204, 228], "expectation_value": -3.193346483475417, "params": null, "bitstrings": ["00110011", "00011011"], "total_optimization_steps": 48, "probabilities": [0.06853446448148866, 0.7711196315917994], "optimization_time": 62.897284507751465} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["00011011"]} | 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(1.4449) q[1];
ry(1.2317) q[0];
cry(-1.4308) q[0], q[6];
cry(-1.2187) q[2], q[4];
ry(0.9915) q[2];
cry(-1.3604) q[5], q[7];
ry(-0.6565) q[4];
cry(0.4719) q[1], q[2];
ry(0.8499) q[5];
cry(-0.6148... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.0783222700994679, "params": [[0.0054, 0.056400000000000006, -0.0439], [0.012100000000000001, -0.049100000000000005, -0.0055000000000000005]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.016583959724581106, 0.016782677982603807], "o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "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];
cx q[3], q[0];
rz(0.0054) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0054) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0054) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0054) q[5];
cx q[4], q[5];
cx q[0], q[1];
rz(0.0054... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
c298bac9f7b945ca2464c36aeeff588d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target":... | {"states": [82, 594], "expectation_value": -4.664522482114679, "params": [0.8516, 0.8463, 0.6832, 0.6869000000000001, 0.7095, 0.7051000000000001, 0.9043, 0.9108, 0.0009000000000000001, -0.0007, 0.8553000000000001, 0.8646, 0.0036000000000000003, 0.0006000000000000001, 0.004, 0.0039000000000000003, 0.8907, 0.888400000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["1110001101", "0010101111", "0110101101", "0110111100", "1010001111", "1100101101", "0010111110", "1000101111", "0110110110", "10001111... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8516) q[0];
ry(0.6832) q[1];
ry(0.7095) q[2];
ry(0.9043) q[3];
ry(0.0009) q[4];
ry(0.8553) q[5];
ry(0.0036) q[6];
ry(0.004) q[7];
ry(0.8907) q[8];
ry(0.6971) q[9];
crz(0.0506) q[9], q[0];
crz(-0.0121) q[8], q[9];
crz(-0.5196) q[7], q[8];
crz(0.4853) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [18, 28], "expectation_value": -0.5259502625929598, "params": [[0.06720000000000001, 0.0728, 0.0711], [-0.053000000000000005, -0.0568, -0.054]], "bitstrings": ["101101", "100011"], "total_optimization_steps": 10, "probabilities": [0.021729917923366694, 0.024905486987074472], "optimization_time": 3.1206734180... | 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 | 3 | {"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];
cx q[1], q[0];
rz(0.0672) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0672) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0672) q[5];
cx q[1], q[5];
cx q[2], q[4];
rz(0.0672) q[4];
cx q[2], q[4];
cx q[5], q[4];
rz(0.0672... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
-7580555022610608366 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [1, 2, 3, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 4, 6]]} | {"states": [190, 182], "expectation_value": -1.1016226945409535, "params": [1.3896000000000002, 0.012700000000000001, 1.3887, 0.0023, 0.7483000000000001, -0.0122, 0.5899, 0.0054, 1.3903, 0.2721, 0.8546, 0.0077, 1.3934, 0.0119, 1.391, 0.0085, 1.1893, -0.3068, 0.7768, 0.0056, 1.3884, 0.019, 1.3938000000000001, 0.00310000... | 0.05 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.2833333333333334, -1.2833333333333334, -1.2833333333333334, -1.2833333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2000000000000006, "smallest_bitstrings": ["10000100", "01001001", "00001101", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.3896) q[0];
rz(0.0127) q[0];
rx(0.7483) q[1];
rz(-0.0122) q[1];
rx(1.3903) q[2];
rz(0.2721) q[2];
rx(1.3934) q[3];
rz(0.0119) q[3];
rx(1.1893) q[4];
rz(-0.3068) q[4];
rx(1.3884) q[5];
rz(0.019) q[5];
rx(1.3926) q[6];
rz(0.0176) q[6];
rx(1.0901) 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": []} |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 34.089616775512695} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.57) q[3], q[4];
ry(0.845) q[3];
ry(0.4428) q[4];
cry(0.5798) q[4], q[3];
cry(1.3016) q[2], q[1];
cry(1.0285) q[4], q[2];
cry(0.6445) q[4], q[1];
cry(1.29) q[4], q[5];
cry(-1.4709) q[5], q[0];
cry(0.1972) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... |
e104f31aaff273b4fa5fa538ba3fde4a | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [17, 81], "expectation_value": -9.499997356645254, "params": null, "bitstrings": ["111101110", "110101110"], "total_optimization_steps": 34, "probabilities": [5.247783531652035e-07, 0.9999981334971454], "optimization_time": 39.337066650390625} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111111110", "110101110", "110111110", "111101110"]} | 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[4];
ry(1.5706) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
cry(1.5681) q[4], q[2];
ry(-1.4449) q[6];
cry(-1.4417) q[2], q[5];
cry(-1.5479) q[2], q[3];
ry(-1.4448) q[7];
cry(-0.1... | 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(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
864f213918e4b694952e53439a24874e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [280, 281], "expectation_value": -6.4845089372221585, "params": [0.0022, -0.3512, 0.0043, -0.34850000000000003, 0.6168, 0.25880000000000003, 0.6451, 0.0303, -0.0017000000000000001, -0.46290000000000003, -0.0057, -0.5006, -0.0008, -0.5141, -0.0053, -0.5019, -0.002, -0.4801, -0.006, -0.507, 0.6382, 0.2384, 0.6... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 5 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0022) q[0];
rz(-0.3512) q[0];
rx(0.6168) q[1];
rz(0.2588) q[1];
rx(-0.0017) q[2];
rz(-0.4629) q[2];
rx(-0.0008) q[3];
rz(-0.5141) q[3];
rx(-0.002) q[4];
rz(-0.4801) q[4];
rx(0.6382) q[5];
rz(0.2384) q[5];
rx(0.6063) q[6];
rz(0.2446) q[6];
rx(-0.0017) 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": []} |
0266001b380421646053f35d123ce5b5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [7, 135], "expectation_value": -4.112839215066281, "params": [0.561, -0.09190000000000001, 0.3517, -0.4098, 0.0432, 0.4838, -0.0091, 0.4269, 0.0874, 0.0286, 0.8149000000000001, 0.0059, 0.8745, 0.1044, 0.893, 0.0006000000000000001, 0.5563, -0.014, 0.3185, -0.3874, 0.0183, 0.4602, -0.0123, 0.4012, 0.0645, -0.0... | 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(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + 0.0 * Z(7) + -0.5 * Z(6) + -0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.561) q[0];
rz(-0.0919) q[0];
rx(0.3517) q[1];
rz(-0.4098) q[1];
rx(0.0432) q[2];
rz(0.4838) q[2];
rx(-0.0091) q[3];
rz(0.4269) q[3];
rx(0.0874) q[4];
rz(0.0286) q[4];
rx(0.8149) q[5];
rz(0.0059) q[5];
rx(0.8745) q[6];
rz(0.1044) q[6];
rx(0.893) 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": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -1.0974277414934006, "params": [[0.0722, 0.0589, 0.0468, 0.0654], [-0.0771, -0.0539, -0.0405, -0.052500000000000005]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.02681846768219295, 0.030832939675047338], "optimization_time": 4.696439... | 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 | 4 | {"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];
cx q[1], q[0];
rz(0.0722) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0722) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0722) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0722) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0722... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
e9d9b91bfd2b1be4702d219d04bf78f1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [254, 1022], "expectation_value": -12.874616259047771, "params": null, "bitstrings": ["1100000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.137712771426357, 0.44165581213915794], "optimization_time": 207.61189675331116} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[7], q[8];
cry(1.5708) q[8], q[5];
cry(1.5689) q[5], q[6];
cry(1.2087) q[5], q[7];
cry(-0.6314) q[5], q[8];
cry(-0.0377) q[6], q[8];
ry(-0.1321) q[8];
cry(1.2013) q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[7], 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] = measu... |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 18.743741989135742} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[1], q[5];
cry(-0.3789) q[1], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
91fd701868951eab612ba86420778b2e | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 74.81123471260071} | 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)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "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];
ry(-0.0019) q[3];
ry(-0.1501) q[0];
ry(-0.2661) q[1];
ry(-0.5343) q[2];
cry(-1.2939) q[5], q[1];
cry(-1.4207) q[4], q[0];
cry(-1.0365) q[3], q[2];
cry(-1.3374) q[5], q[3];
ry(0.6128) q[5];
cry(-0.4857) q[4], q[1]... | null | {"k": 4} | {"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(-0.0019) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-4647981197735598989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 9], [3, 4, 6, 7, 9], [9, 10, 7], [0, 1, 10, 8], [1, 2, 3, 6, 7], [8, 9, 5], [1, 2, 5], [8, 3, 5], [8, 2], [0, 8, 1, 7], [1, 3, 4, 9, 10], [0, 1, 3, 6, 7, 10], [1, 3, 4, 6, 9], [1, 3, 4, 6, 7, 8, 10], [0, 2, 3, 4, 10], [1, 3, 4, 5, 7]]} | {"states": [765, 637], "expectation_value": -3.089079348838961, "params": [0.6817000000000001, 0.7667, 1.5702, 1.5821, 0.2818, 0.2155, 0.9734, 0.7772, 1.5772000000000002, 1.58, 1.5834000000000001, 1.5771000000000002, 1.4352, 1.3771, 1.5826, 1.5466, 1.2522, 1.2054, 1.5845, 1.5727, 1.5815000000000001, 1.5703, 0.5333, 1.5... | 0.25 * (Z(0) @ Z(1)) + 0.3071428571428571 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(3) @ Z(0)) + 0.22380952380952385 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.3238095238095238 * (Z(4) @ Z(3)) + 0.15000000000000002 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.2 * (Z(9) @ Z(3)) + 0.2 * (Z(9) @ Z(4)) + 0.15714285714285717 ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.6761904761904765], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6261904761904775, "smallest_bitstrings": ["10110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6817) q[0];
ry(1.5702) q[1];
ry(0.2818) q[2];
ry(0.9734) q[3];
ry(1.5772) q[4];
ry(1.5834) q[5];
ry(1.4352) q[6];
ry(1.5826) q[7];
ry(1.2522) q[8];
ry(1.5845) q[9];
ry(1.5815) q[10];
crx(0.5333) q[10], q[0];
crx(0.1734) q[9], q[10];
crx(0.918) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [4, 3], "expectation_value": -0.13457589767501352, "params": [[-0.0873], [0.08020000000000001]], "bitstrings": ["1011", "1100"], "total_optimization_steps": 10, "probabilities": [0.0660681116567475, 0.06953469981498338], "optimization_time": 0.6419968605041504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"]} | 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(-0.0873) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0873) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0873) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0873) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0873) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x... | null | {"circuits": [], "gradients": []} |
ef8f22f83fe0492ffe205e283ddd4791 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [470, 214], "expectation_value": -55.13775910030395, "params": [[[0.5938, 0.5762], [0.3769, 0.5855], [0.5931000000000001, 0.5701], [-0.0092, 0.5122], [0.5977, 0.3089], [0.0507, 0.37070000000000003], [0.18510000000000001, 0.468], [0.1782, 0.5111], [0.2391, 0.36150000000000004]], [[0.5902000000000001, 0.1579],... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 16.5 * Z(1) + 15.0 * Z(2) + 8.0 * Z(4) + 1.5 * Z(3) + 16.5 * Z(6)... | 15 | 9 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5938) q[0];
ry(0.3769) q[1];
ry(0.5931) q[2];
ry(-0.0092) q[3];
ry(0.5977) q[4];
ry(0.0507) q[5];
ry(0.1851) q[6];
ry(0.1782) q[7];
ry(0.2391) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -2.3812232611146418, "params": [[0.0641, 0.0587], [-0.061900000000000004, -0.0594]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009876783840772637, 0.010196700211712439], "optimization_time": 2.970672369003296} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0321) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1923) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1923) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0641) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
20d26dc41a8e85134d92019f0849fe23 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [236, 205], "expectation_value": -10.265733076089436, "params": [[0.041100000000000005], [-0.0703]], "bitstrings": ["100010011", "100110010"], "total_optimization_steps": 10, "probabilities": [0.004247975670964319, 0.0046574858974975895], "optimization_time": 1.7850689888000488} | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 10.5 * Z(2) + 18.0 * Z(1) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.411) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(0.411) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.411) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.411) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
4e25283e9474f6784f895048b0f76821 | 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": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [111, 495], "expectation_value": -9.812824169557388, "params": null, "bitstrings": ["110010000", "000010000"], "total_optimization_steps": 89, "probabilities": [0.13323584901428293, 0.39974580157491263], "optimization_time": 149.5929205417633} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5708) q[5], q[6];
ry(1.115) q[5];
ry(0.556) q[6];
ry(0.5144) q[8];
cry(0.402) q[8], q[7];
cry(0.3605) q[6], q[5];
cry(1.5486) q[2], q[3];
cry(... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[7], 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... |
-6129269027980007855 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 3], [0, 2, 4], [1, 3, 4]]} | {"states": [23, 7], "expectation_value": -0.7876650088378412, "params": null, "bitstrings": ["01000", "11000"], "total_optimization_steps": 22, "probabilities": [0.02469006670555666, 0.8989843833441964], "optimization_time": 20.063164234161377} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.166666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666663, "smallest_bitstrings": ["01100", "10010", "00110", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.2292) q[4];
ry(0.6331) q[3];
cry(0.4062) q[4], q[3];
cry(-0.5197) q[3], q[1];
ry(0.4912) q[2];
cry(-0.5233) q[2], q[0];
cry(0.4729) q[4], q[2];
cry(-0.4303) q[4], q[1];
cry(0.3394) q[2], q[3];
cry(-0.3103) q[2], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 13.994834661483765} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"]} | 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[2];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[1];
cry(-1.0398) q[4], q[3];
ry(0.7022) q[4];
ry(-0.4578) q[3];
cry(0.497) q[0], q[4];
cry(-0.3761) q[0], q[3];
cry(0.2474) q[1], q[4];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-2032701358618028654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 3]]} | {"states": [1, 14], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1110", "0001"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898925], "optimization_time": 11.261407613754272} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
ry(0.7003) q[2];
cry(-0.7092) q[1], q[3];
cry(1.1516) q[2], q[1];
cry(1.2546) q[1], q[0];
cry(-0.4071) q[0], q[3];
cry(0.5798) q[1], q[2];
cry(0.2651) q[2], q[0];
cry(0.2195) q[0], q[1];
cry(-0.2418) q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
b2309033b6624415ccab4ec6991f5bce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [9, 24], "expectation_value": -5.411632246303773, "params": null, "bitstrings": ["1110110", "1100111"], "total_optimization_steps": 22, "probabilities": [0.06012643125725533, 0.7888196926387847], "optimization_time": 18.519410371780396} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 1 | {"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": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
ry(-1.5681) q[5];
cry(-1.0343) q[2], q[6];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[2];
ry(0.7003) q[3];
ry(-0.4549) q[6];
ry(-0.4549) q[1];
cry(0.4578) q[3], q[2];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b9167b0dbead0ec78749403f79eff77a | 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": [470, 214], "expectation_value": -71.1172188549611, "params": [0.0027, -0.8768, 0.7763, -0.18030000000000002, 1.2064000000000001, -0.001, 1.2033, -0.0038, -0.0016, -0.7207, 1.2049, 0.26780000000000004, 0.0032, 0.7119000000000001, 1.2027, 0.20950000000000002, 1.1948, 0.35450000000000004, 0.7716000000000001, 0... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 8.5 * Z(1) + 16.0 * Z(3) + -6.0 * Z(4) + 10.0 * Z(5) + -4.0 * Z(6) + 8.0 * Z(9) + 9.5 ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0027) q[0];
rz(-0.8768) q[0];
rx(0.7763) q[1];
rz(-0.1803) q[1];
rx(1.2064) q[2];
rz(-0.001) q[2];
rx(1.2033) q[3];
rz(-0.0038) q[3];
rx(-0.0016) q[4];
rz(-0.7207) q[4];
rx(1.2049) q[5];
rz(0.2678) q[5];
rx(0.0032) q[6];
rz(0.7119) q[6];
rx(1.2027) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
763530b40aee1551d1361e570f18aa92 | 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": 4}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -11.54118879234939, "params": [0.0071, 2.0955, -0.7061000000000001, 0.003, -0.9469000000000001, 0.935, 0.8275, 0.0094, 0.0006000000000000001, 2.3067, 0.002, 0.007500000000000001, 0.0031000000000000003, 2.3080000000000003, 0.0028, 0.0045000000000000005, 0.9883000000000001, 1.514... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(7) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0071) q[0];
rz(2.0955) q[0];
rx(-0.9469) q[1];
rz(0.935) q[1];
rx(0.0006) q[2];
rz(2.3067) q[2];
rx(0.0031) q[3];
rz(2.308) q[3];
rx(0.9883) q[4];
rz(1.5148) q[4];
rx(-0.9886) q[5];
rz(1.58) q[5];
rx(-0.9944) q[6];
rz(1.8716) q[6];
rx(-0.946) q[7];
rz(2.0... | 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
-4776994046118170535 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 7], [2, 4, 7], [0, 2, 5, 7], [1, 2, 4], [0, 1, 2, 6], [4, 5, 7], [8, 3]]} | {"states": [238, 207], "expectation_value": -1.0621163520072523, "params": [[0.381], [-0.3835]], "bitstrings": ["100010001", "100110000"], "total_optimization_steps": 40, "probabilities": [0.006839362162887683, 0.007029772760294935], "optimization_time": 2.8003668785095215} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.41666666666666663 * (Z(7) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["100110000"]} | 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(0.0635) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(0.1905) q[4];
cx q[1], q[4];
cx q[8], q[4];
rz(0.0635) q[4];
cx q[8], q[4];
cx q[1], q[7];
rz(0.0635) q[7];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [38, 7], "expectation_value": -4.175686961420978, "params": [[-0.0684, -0.0631, -0.020300000000000002], [0.0786, 0.0805, 0.0627]], "bitstrings": ["011001", "111000"], "total_optimization_steps": 10, "probabilities": [0.036929630880566985, 0.03849057257873844], "optimization_time": 6.392212152481079} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2394) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2394) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2394) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2736) q[3];
cx q[1], q[3];
cx q[0], q[3];
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] 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... | {"k": 3} | {"circuits": [], "gradients": []} |
1d5830a984622eead42a5eae40078f2f | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -0.06630867483750476, "params": [[0.0526], [-0.0441]], "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008216548045016687, 0.008287274098419091], "optimization_time": 1.2389106750488281} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0526) q[0];
cx q[6], q[0];
cx q[0], q[2];
rz(0.0526) q[2];
cx q[0], q[2];
cx q[2], q[1];
rz(0.0526) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0526) q[3];
cx q[2], q[3];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
da1b1c85f8e653b867f6f4bdba638afa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3, 7], "expectation_value": -4.135572213772959, "params": [0.1012, 0.0976, -0.0015, -0.0041, 0.0613, 0.054400000000000004, 0.0034000000000000002, 0.0048000000000000004, 0.20670000000000002, 0.20400000000000001, 0.1993, 0.2034, 0.19890000000000002, 0.1965, 0.0952, 0.0944, -0.0054, -0.0027, 0.0541, 0.0567, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001", "0111001", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.1012) q[0];
ry(-0.0015) q[1];
ry(0.0613) q[2];
ry(0.0034) q[3];
ry(0.2067) q[4];
ry(0.1993) q[5];
ry(0.1989) q[6];
crx(-0.0061) q[6], q[0];
crx(0.1826) q[5], q[6];
crx(0.158) q[4], q[5];
crx(0.1293) q[3], q[4];
crx(0.072) q[2], q[3];
crx(-0.0072) q[1], 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810101, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 22.77186870574951} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5708) q[3], q[1];
cry(1.5706) q[3], q[2];
cry(0.9505) q[2], q[3];
cry(1.5701) q[3], q[4];
cry(-1.5651) q[4], q[0];
ry(-0.3015) q[2];
cry(0.4049) q[2], q[1];
cry(0.2513) q[1], q[2];
cry(-0.1436) q[4], q[2];
cry(-0.5... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [0, 1], "expectation_value": -2.841785383007359, "params": [[[0.0027, 0.343], [0.0025, 0.43210000000000004], [0.6037, -0.0005], [0.8064, -0.0037]], [[0.0044, 0.0034000000000000002], [0.0032, 0.0037], [0.6085, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 80, "probab... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0027) q[0];
rz(0.343) q[0];
rx(0.0025) q[1];
rz(0.4321) q[1];
rx(0.6037) q[2];
rz(-0.0005) q[2];
rx(0.8064) q[3];
rz(-0.0037) q[3];
rx(0.0044) q[0];
rz(0.0034) q[0];
rx(0.0032) q[1];
rz(0.0037) q[1];
rx(0.6085) q[2];
rz(0.0014) q[2];
rx(0.8103) q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [15, 111], "expectation_value": -4.999617773725913, "params": null, "bitstrings": ["1110000", "0010000"], "total_optimization_steps": 46, "probabilities": [0.1406142897994426, 0.42182337484238264], "optimization_time": 24.77440905570984} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 5 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"]} | 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(1.5486) q[5], q[6];
cry(1.2305) q[6], q[5];
cry(1.5486) q[3], q[4];
cry(1.2305) q[4], q[3];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[2];
cry(-0.1101) q[5], q[2];
ry(0.0163) q[0];
... | null | {"node": 3} | {"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(1.5486) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
45466ddcbcd55abeab47b3eb1e9b72c1 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 7},... | {"states": [1921, 1920], "expectation_value": -2.7741809770481822, "params": [[-0.06330000000000001], [0.0688]], "bitstrings": ["00001111110", "00001111111"], "total_optimization_steps": 10, "probabilities": [0.0009279263725701736, 0.0009500038918577767], "optimization_time": 1.6159231662750244} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + -3.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["00001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(0.1899) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0633) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2532) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.0633) ... | 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": 7} | {"circuits": [], "gradients": []} |
64b81587301614454a8e204aef648a08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [111, 65], "expectation_value": -0.8743969090352179, "params": [[-0.0721], [0.06860000000000001]], "bitstrings": ["10010000", "10111110"], "total_optimization_steps": 10, "probabilities": [0.005612733910037082, 0.005728556164064099], "optimization_time": 1.9726645946502686} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.036) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.2163) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.1081) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(0.1802) q[7];
cx q[1], q[7];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1836f56c6aacade8d2873047a951421e | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [408, 410], "expectation_value": -1.5009084252284488, "params": [[[1.6003, 0.005], [1.6124, 0.004200000000000001], [0.002, 0.0059], [0.9901000000000001, 0.007200000000000001], [1.6101, 0.0073], [1.5996000000000001, 0.0045000000000000005], [0.547, 0.0039000000000000003], [1.5984, 0.0079], [0.9843000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6003) q[0];
rz(0.005) q[0];
rx(1.6124) q[1];
rz(0.0042) q[1];
rx(0.002) q[2];
rz(0.0059) q[2];
rx(0.9901) q[3];
rz(0.0072) q[3];
rx(1.6101) q[4];
rz(0.0073) q[4];
rx(1.5996) q[5];
rz(0.0045) q[5];
rx(0.547) q[6];
rz(0.0039) q[6];
rx(1.5984) q[7];
rz(0.007... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 23.990872621536255} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[3];
cry(1.5158) q[5], q[4];
ry(1.3013) q[2];
cry(1.0459) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2314) q[4], q[0];
ry(0.2593) q[0];
cry(0.2354) q[3], q[2];
ry(0.0828) q[5];
ry(0.0793) q[4];
cry(0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [0, 38], "expectation_value": -2.367625096279643, "params": [[[0.1459, 0.02], [0.3921, -0.0392], [0.08610000000000001, -0.17420000000000002], [0.3904, 0.3972], [0.39640000000000003, 0.39880000000000004], [0.4021, 0.1937]], [[-0.3854, 0.0212], [0.396, -0.020200000000000003], [0.11710000000000001, 0.0249000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.1459) q[0];
ry(0.3921) q[1];
ry(0.0861) q[2];
ry(0.3904) q[3];
ry(0.3964) q[4];
ry(0.4021) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.02) q[0];
ry(-0.0392) q[1];
ry(-0.1742) q[2];
ry(0.3972) 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": []} |
f02486e620079ab47aa57a305823b7d3 | 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": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 7}, {"sour... | {"states": [461, 453], "expectation_value": -4.089917733511046, "params": [[0.9168000000000001, 0.0033, 1.58, 0.003, -0.10200000000000001, 0.038200000000000005, 1.5694000000000001, -0.0029000000000000002, 0.5776], [1.7017, 1.5989, 1.5742, -0.0017000000000000001, 0.09040000000000001, 1.5536, 1.5712000000000002, -0.00290... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(7) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(8) + -0.5 * Z(6) + 0.0 * Z(4) | 10 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["010100110", "000111010", "010110010", "000101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9168) q[0];
ry(0.0033) q[1];
ry(1.58) q[2];
ry(0.003) q[3];
ry(-0.102) q[4];
ry(0.0382) q[5];
ry(1.5694) q[6];
ry(-0.0029) q[7];
ry(0.5776) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
0782d3cd57e18fd1ecafaa7e981038f9 | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [22186, 21930], "expectation_value": -1.7021193037448914, "params": null, "bitstrings": ["1010100101010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12101273070670106, 0.2642822029339899], "optimization_time": 899.1992011070251} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.019214876032997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.019214876032984, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5953) q[14], q[15];
cry(-0.5938) q[12], q[13];
cry(-0.5939) q[10], q[11];
cry(-0.5936) q[5], q[4];
cry(-0.594) q[3], ... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5953) q[14], q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
0a1e4f1eedff6ecec9c663580d739dcf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [240, 112], "expectation_value": -3.363714737647923, "params": [[[1.5253, 0.0026000000000000003], [2.8365, 0.0073], [1.8477000000000001, 0.0022], [2.8524000000000003, 0.009600000000000001], [-0.0025, 0.006500000000000001], [-0.0025, 0.0028], [-0.0019, 0.0031000000000000003], [-0.0024000000000000002, 0.009000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.875, "smallest_bitstrings": ["01011101", "01001111", "00101111", "00011111", "10001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5253) q[0];
rz(0.0026) q[0];
rx(2.8365) q[1];
rz(0.0073) q[1];
rx(1.8477) q[2];
rz(0.0022) q[2];
rx(2.8524) q[3];
rz(0.0096) q[3];
rx(-0.0025) q[4];
rz(0.0065) q[4];
rx(-0.0025) q[5];
rz(0.0028) q[5];
rx(-0.0019) q[6];
rz(0.0031) q[6];
rx(-0.0024) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888257, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 64.63121581077576} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
ry(1.5708) q[6];
cry(1.5681) q[6], q[1];
cry(-1.5486) q[7], q[0];
ry(1.035) q[7];
cry(-0.4546) q[6], q[0];
cry(1.4449) q[6], q[4];
cry(0.323) q[1], q[7];
cry(-0.2109) q[5], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [13, 18], "expectation_value": -0.2213855609128371, "params": [[0.0253, -0.0603], [-0.0558, 0.0553]], "bitstrings": ["110010", "101101"], "total_optimization_steps": 10, "probabilities": [0.016887823979165658, 0.017128798798512576], "optimization_time": 2.9172523021698} | 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(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | 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(0.0253) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0253) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0253) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0253) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.0253... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_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": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 9.610477924346924} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.4449) q[2];
cry(1.5481) q[2], q[1];
cry(-1.3016) q[4], q[0];
ry(1.0708) q[4];
ry(-0.6818) q[0];
cry(0.39) q[1], q[4];
cry(-0.1878) q[1], q[0];
cry(0.089) q[1], q[2];
cry(0.087) q[2], q[4];
cry(-0.0399) q[2], q[0];
r... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [90, 74], "expectation_value": -2.532920441041799, "params": [0.2068, 0.0002, 0.2076, 0.00030000000000000003, 0.1966, -0.0035, 0.1882, -0.0033, 0.1844, -0.0031000000000000003, 0.1819, -0.0035, 0.2023, -0.0015, 0.2028, -0.0017000000000000001, 0.1444, 0.0011, 0.1427, -0.0019, 0.20720000000000002, -0.002, 0.201... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(5) | 6 | 7 | 4 | {"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": ["1101100", "0110011", "1001101", "0111100", "0110101", "1100101", "0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2068) q[0];
rz(0.0002) q[0];
rx(0.1966) q[1];
rz(-0.0035) q[1];
rx(0.1844) q[2];
rz(-0.0031) q[2];
rx(0.2023) q[3];
rz(-0.0015) q[3];
rx(0.1444) q[4];
rz(0.0011) q[4];
rx(0.2072) q[5];
rz(-0.002) q[5];
rx(0.1929) q[6];
rz(-0.0031) q[6];
crx(0.1041) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [20, 28], "expectation_value": -2.6325204735746675, "params": [[[-0.0031000000000000003, 0.004], [1.7084000000000001, 0.0016], [1.6561000000000001, 0.0015], [1.7087, 0.007], [0.2756, 0.0043], [0.2832, 0.004]]], "bitstrings": ["101011", "100011"], "total_optimization_steps": 170, "probabilities": [0.142235767... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0031) q[0];
rz(0.004) q[0];
rx(1.7084) q[1];
rz(0.0016) q[1];
rx(1.6561) q[2];
rz(0.0015) q[2];
rx(1.7087) q[3];
rz(0.007) q[3];
rx(0.2756) q[4];
rz(0.0043) q[4];
rx(0.2832) q[5];
rz(0.004) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.10883615159711289, "params": [[-0.050300000000000004], [0.0551]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.016506033357871763, 0.01684371534168045], "optimization_time": 1.5281388759613037} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0503) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0503) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0503) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0503) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0... | null | {"circuits": [], "gradients": []} |
7f0d2bfc05909744663b2bcae9f287f1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 4}, {"source": 1, "ta... | {"states": [42, 106], "expectation_value": -6.056065206726576, "params": [[-0.0033, 0.5938, 0.8001, 0.003, 0.6249, 0.0297, 0.6309, -0.014400000000000001], [-0.0055000000000000005, -0.038200000000000005, 0.29410000000000003, 0.0028, 0.6251, -0.0132, 0.6364000000000001, -0.0056], [-0.001, 0.6043000000000001, 0.8633000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0033) q[0];
ry(0.5938) q[1];
ry(0.8001) q[2];
ry(0.003) q[3];
ry(0.6249) q[4];
ry(0.0297) q[5];
ry(0.6309) q[6];
ry(-0.0144) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -0.5025111668418274, "params": [[-0.0408, -0.0369, 0.0506], [0.0512, 0.0478, -0.011600000000000001]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.02002388075115598, 0.021108320612243332], "optimization_time": 3.4822566509246826} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | 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(0.0816) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0612) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0612) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0612) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0612... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
5ff13daf48c5dfc8657b57cf7715e1fc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4092, 4095], "expectation_value": -14.811934093273413, "params": null, "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.12192779733864502, 0.36541708316385607], "optimization_time": 235.43962121009827} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[5];
cry(1.5706) q[6], q[8];
ry(1.056) q[6];
cry(1.5707) q[6], q[9];
cry(1.5701) q[8], q[7];
cry(0.4073) q[7], q[8];
... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
53fe6021db3e1b033580a90e7918c571 | 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": [1609, 587], "expectation_value": -69.760645008685, "params": [[[0.2933, 0.182], [0.5995, 0.34040000000000004], [0.0424, 0.19440000000000002], [0.17420000000000002, 0.1202], [0.6013000000000001, 0.5561], [0.0641, 0.4949], [-0.024300000000000002, 0.0741], [0.5994, 0.5203], [-0.014, 0.5959], [0.5872, 0.5506], ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(2) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 3.5 * Z(0) + 15.0 * Z(1) + 8.5 * Z(3) + 10.0 * Z(4) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["10110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2933) q[0];
ry(0.5995) q[1];
ry(0.0424) q[2];
ry(0.1742) q[3];
ry(0.6013) q[4];
ry(0.0641) q[5];
ry(-0.0243) q[6];
ry(0.5994) q[7];
ry(-0.014) q[8];
ry(0.5872) q[9];
ry(0.5986) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
7fbf61ffa47f199b4de407a2a49d3fbd | 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": [378, 346], "expectation_value": -84.53917149763242, "params": [0.1129, 0.0636, 0.7811, 0.0465, 0.228, 0.0577, 0.6695, 0.0999, 0.7932, 0.1865, 0.7517, 0.12490000000000001, 0.7887000000000001, -0.1553, 0.2479, -0.301, 0.7905000000000001, -0.041, 0.14850000000000002, -0.1427, 0.11960000000000001, 0.0162, 0.785... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 4.0 * Z(0) + 8.0 * Z(1) + 15.5 * Z(3) + -1.0 * Z(2) + 10... | 4 | 10 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1129) q[0];
rz(0.0636) q[0];
rx(0.7811) q[1];
rz(0.0465) q[1];
rx(0.228) q[2];
rz(0.0577) q[2];
rx(0.6695) q[3];
rz(0.0999) q[3];
rx(0.7932) q[4];
rz(0.1865) q[4];
rx(0.7517) q[5];
rz(0.1249) q[5];
rx(0.7887) q[6];
rz(-0.1553) q[6];
rx(0.2479) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 22.510522603988647} | 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)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[5];
cry(-1.3016) q[3], q[1];
ry(1.2881) q[2];
ry(1.0231) q[4];
cry(-0.992) q[4], q[0];
ry(0.6597) q[3];
ry(-0.5017) q[0];
cry(0.435) q[2], q[4];
cry(-0.1259) q[4], q[5];
cry(0.258) q[4], q[2];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[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... |
11bc780ee0dea252ffa14ebfc46f89b7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -23.174439858182442, "params": [-0.0036000000000000003, 0.1899, 0.0002, 0.21150000000000002, -0.0039000000000000003, 0.20670000000000002, 0.0007, 0.23870000000000002, -0.0034000000000000002, 0.2449, 0.0009000000000000001, 0.24480000000000002, 0.3015, 0.0054, 0.2993, 0.002100000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(9)) + -0.75 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(9)) + -1.25 * (Z... | 7 | 12 | 3 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0036) q[0];
rz(0.1899) q[0];
rx(-0.0039) q[1];
rz(0.2067) q[1];
rx(-0.0034) q[2];
rz(0.2449) q[2];
rx(0.3015) q[3];
rz(0.0054) q[3];
rx(-0.0007) q[4];
rz(0.2245) q[4];
rx(-0.002) q[5];
rz(0.2282) q[5];
rx(0.0013) q[6];
rz(0.2021) q[6];
rx(0) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-776429237694210839 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 10, 7], [8, 4, 7], [8, 5], [8, 9], [0, 3, 4, 5, 7], [1, 3, 4, 5, 6], [0, 2, 5, 6, 10], [0, 9], [8, 1, 3], [1, 2, 3, 6], [9, 3, 7], [8, 2], [2, 4, 5, 7, 9], [10, 4, 5, 7], [1, 3, 5, 7, 10], [0, 1, 4, 8], [0, 8, 10, 3]]} | {"states": [1017, 1009], "expectation_value": -3.448110362121425, "params": [[[1.5677, 1.5253], [3.0021, -1.5277], [3.0116, 0.4333], [2.1562, 0.9713], [1.5727, 1.5725], [-0.0023, 1.5685], [-0.0022, 0.0025], [-1.5806, 1.5250000000000001], [3.1584000000000003, 1.5311000000000001], [1.5735000000000001, 1.5691000000000002]... | 0.21666666666666667 * (Z(3) @ Z(2)) + 0.3 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.35 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(9)) + 0.183333333333333... | 15 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.466666666666666, "smallest_bitstrings": ["10000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5677) q[0];
ry(3.0021) q[1];
ry(3.0116) q[2];
ry(2.1562) q[3];
ry(1.5727) q[4];
ry(-0.0023) q[5];
ry(-0.0022) q[6];
ry(-1.5806) q[7];
ry(3.1584) q[8];
ry(1.5735) q[9];
ry(1.5736) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [44, 42], "expectation_value": -0.07355692926471977, "params": [[-0.0582], [0.0584]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.01648586041577934, 0.016686268545433057], "optimization_time": 1.3344309329986572} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0582) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0582) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0582) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.0582) q[3];
cx q[4], q[3];
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;
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[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
6520969199120361675 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 6, 8], [0, 2, 4, 6, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 4, 8], [8, 2, 7], [2, 3, 5, 6], [0, 1, 2, 3, 5], [2, 3, 4, 5, 8], [0, 1, 4, 6, 7, 8], [2, 3, 4, 6, 7], [0, 1, 4, 5, 6], [0, 1, 3, 4, 7], [0, 1, 2, 3, 4, 6]]} | {"states": [249, 245], "expectation_value": -2.719122120281277, "params": null, "bitstrings": ["100000110", "100001010"], "total_optimization_steps": 46, "probabilities": [0.015075522246266636, 0.9234110595371102], "optimization_time": 91.94878673553467} | 0.3 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666669 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(1)) + 0.13333333333333336 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7166666666666663, "smallest_bitstrings": ["100001010"]} | 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(1.5665) q[4];
ry(1.5017) q[2];
ry(1.2886) q[1];
cry(-0.4714) q[8], q[7];
cry(0.2503) q[4], q[1];
cry(-0.4004) q[3], q[0];
ry(0.483) q[8];
cry(-0.4285) q[6], q[0];
cry(0.3722) q[4], q[8]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5665) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 3], "expectation_value": -10.360290515759939, "params": [[[0.5820000000000001, 0.0028], [0.4907, 0.008400000000000001], [0.5096, 0.008400000000000001], [1.5456, 0.004], [1.6013000000000002, 0.0016], [1.5985, 0.0015]]], "bitstrings": ["111000", "111100"], "total_optimization_steps": 160, "probabilities": ... | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.582) q[0];
rz(0.0028) q[0];
rx(0.4907) q[1];
rz(0.0084) q[1];
rx(0.5096) q[2];
rz(0.0084) q[2];
rx(1.5456) q[3];
rz(0.004) q[3];
rx(1.6013) q[4];
rz(0.0016) q[4];
rx(1.5985) q[5];
rz(0.0015) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} |
58927404864b316a7a7c3805d96a54c5 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [157, 29], "expectation_value": -14.722399739696694, "params": null, "bitstrings": ["101100010", "111100010"], "total_optimization_steps": 74, "probabilities": [0.24918865048918773, 0.47078443278394794], "optimization_time": 111.32958340644836} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["101100010", "111100110", "111100010"]} | 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(1.5577) q[5];
cry(1.5708) q[5], q[4];
cry(-1.5708) q[4], q[3];
ry(-1.5709) q[2];
cry(1.5708) q[4], q[6];
cry(-1.5706) q[8], q[0];
ry(1.231) q[8];
cry(-0.6436) q[6], q[0];
cry(0.281) q[4... | 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(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
5685d04b4306b22ae56a2bbc733b9334 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [446, 442], "expectation_value": -2.9530577826358444, "params": [-0.0029000000000000002, -0.0029000000000000002, 1.4984000000000002, 1.5001, 1.4951, 1.4995, 0.0091, -0.0025, 1.5028000000000001, 1.4971, 1.489, 1.4912, 1.4846000000000001, 1.4895, 1.4924000000000002, 0.9909, 1.496, 1.5007000000000001, 0.0763, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.06... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110011000", "1010011000", "1000101001", "1101000001"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0029) q[0];
ry(1.4984) q[1];
ry(1.4951) q[2];
ry(0.0091) q[3];
ry(1.5028) q[4];
ry(1.489) q[5];
ry(1.4846) q[6];
ry(1.4924) q[7];
ry(1.496) q[8];
ry(0.0763) q[9];
crx(-0.0028) q[9], q[0];
crx(-0.1246) q[8], q[9];
crx(0.0596) q[7], q[8];
crx(0.537) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.0958138558304596, "params": [[-0.0375, -0.0412, -0.0455, -0.0434], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.1393476231651742, 0.14919449338632151], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0375) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0375) q[1];
cx q[2], q[1];
rz(0.0375) q[2];
rz(0) q[0];
rz(0) q[1];
h q[0];
rz(0.1012) q[0];
h q[0];
h q[1];
rz(0.1012) q[1];
h q[1];
h q[2];
rz(0.1012) q[2];
h q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 136.68535017967224} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | 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(1.5577) q[1];
ry(0.7408) q[5];
cry(-0.0006) q[1], q[5];
cry(0.8301) q[7], q[5];
ry(1.5708) q[3];
ry(1.4645) q[7];
cry(-1.5353) q[3], q[5];
cry(2.0225) q[2], q[5];
cry(-1.5708) q[7], q[0];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) 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[... |
5191363103344540931 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 4, 5], [2, 4], [0, 3], [3, 4], [2, 5, 7], [1, 6], [0, 4, 5], [0, 8], [0, 2, 7], [3, 7], [8, 1, 3], [0, 6]]} | {"states": [474, 410], "expectation_value": -3.602540487371839, "params": [1.4899, -0.07, 1.4441000000000002, 0.0066, 1.4871, -0.0732, 1.4387, 0.007500000000000001, 0.9711000000000001, 0.39580000000000004, 0.8019000000000001, 0.0002, 0.8092, 0.015600000000000001, 0.2826, 0.0031000000000000003, 1.4949000000000001, 0.079... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.166666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4899) q[0];
rz(-0.07) q[0];
rx(1.4871) q[1];
rz(-0.0732) q[1];
rx(0.9711) q[2];
rz(0.3958) q[2];
rx(0.8092) q[3];
rz(0.0156) q[3];
rx(1.4949) q[4];
rz(0.0795) q[4];
rx(1.4851) q[5];
rz(-0.0937) q[5];
rx(0.462) q[6];
rz(-0.0302) q[6];
rx(1.4906) 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": []} |
455f6f23bf51d98ac570bfc0b0837643 | 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": 1, "target": 2}, {"source": ... | {"states": [1015, 992], "expectation_value": -2.243932236431913, "params": [[0.0632], [-0.058300000000000005]], "bitstrings": ["0000001000", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0018090566560628215, 0.0018696932118134747], "optimization_time": 3.121070623397827} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.316) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.316) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2528) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.316) q[3];
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": []} |
7d24aa80c4b1d40dd561c6b6bccbf7db | 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": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "ta... | {"states": [34, 38], "expectation_value": -3.55981818649225, "params": [[[0.0017000000000000001, 0.5882000000000001], [0.8069000000000001, -0.0037], [0.0027, 0.5002], [0.0024000000000000002, 0.5801000000000001], [0.8019000000000001, -0.0027], [0.8063, -0.0021000000000000003], [0.0017000000000000001, 0.5933]], [[0.00170... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0017) q[0];
rz(0.5882) q[0];
rx(0.8069) q[1];
rz(-0.0037) q[1];
rx(0.0027) q[2];
rz(0.5002) q[2];
rx(0.0024) q[3];
rz(0.5801) q[3];
rx(0.8019) q[4];
rz(-0.0027) q[4];
rx(0.8063) q[5];
rz(-0.0021) q[5];
rx(0.0017) q[6];
rz(0.5933) q[6];
rx(0.0017) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1933e8b73d4f27169594b5a37f23f4e2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1526, 1398], "expectation_value": -1.4883637478878256, "params": [1.9732, 0.0077, 0.9816, 0.0079, 2.2119, 0.0011, 1.5425, 0.0067, 2.1949, 0.004, 2.2018, 0.001, 1.8065, 0.0011, 0.0024000000000000002, 0.0089, 2.1984, 0.0049, 2.1188000000000002, 0.0081, 0.9863000000000001, 0.0082, 0.0071, 0.0085, 0.003, 0.0027... | 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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.9732) q[0];
rz(0.0077) q[0];
rx(0.9816) q[1];
rz(0.0079) q[1];
rx(2.2119) q[2];
rz(0.0011) q[2];
rx(1.5425) q[3];
rz(0.0067) q[3];
rx(2.1949) q[4];
rz(0.004) q[4];
rx(2.2018) q[5];
rz(0.001) q[5];
rx(1.8065) q[6];
rz(0.0011) q[6];
rx(0.0024) 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": []} |
532d7b9840f324faf47e567c6a0fdd6f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.923696628338167, "params": [0.0005, 0.3593, 0.0059, 0.4696, -0.0011, 0.2081, -0.0119, 0.3311, 0.0135, 0.3733, -0.0055000000000000005, 0.48700000000000004, 0.0005, 0.3765, 0.011000000000000001, 0.5152, -0.0039000000000000003, 0.6336, -0.0019, 0.5655, 0.4328, 0.0206, 0.41500000... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0005) q[0];
rz(0.3593) q[0];
rx(-0.0011) q[1];
rz(0.2081) q[1];
rx(0.0135) q[2];
rz(0.3733) q[2];
rx(0.0005) q[3];
rz(0.3765) q[3];
rx(-0.0039) q[4];
rz(0.6336) q[4];
rx(0.4328) q[5];
rz(0.0206) q[5];
rx(-0.3771) q[6];
rz(0.3917) q[6];
rx(0.3919) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -13.881832024549562, "params": [[-0.16290000000000002, -0.1274], [0.169, 0.16140000000000002]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 20, "probabilities": [0.0010230566363833668, 0.0010230842466120277], "optimization_time": 25... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.1629) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1629) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1629) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 194.45790648460388} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[3];
ry(0.0048) q[2];
ry(0.0002) q[1];
ry(1.2274) q[5];
cry(0.5783) q[5], q[2];
cry(-8.4103) q[5], q[3];
cry(62.4025) q[3], q[2];
ry(4.311) q[6];
cry(2.041) q[5], q[1];
cry(62.9164) q[... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
13897d244e0881b4447dd2a9a298bf14 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [37, 27], "expectation_value": -0.4967751506891742, "params": [[0.056100000000000004, 0.045000000000000005, 0.0405, 0.027600000000000003], [-0.0601, -0.045200000000000004, -0.0368, -0.0258]], "bitstrings": ["1011010", "1100100"], "total_optimization_steps": 10, "probabilities": [0.011642223754178407, 0.01222... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"]} | 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(0.0561) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0561) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0561) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0561) q[1];
cx q[2], q[1];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
a4daa78eacadb4897b1342c199df0ce1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [30, 28], "expectation_value": -3.1330201874935812, "params": [[[-0.0012000000000000001, 0.4721], [-0.0057, 0.6016], [0.7133, -0.0031000000000000003], [0.7273000000000001, -0.0034000000000000002], [0.4867, 0.0855], [0.3766, -0.2068], [-0.0033, 0.5245000000000001]], [[-0.0045000000000000005, 0.5772], [-0.0008... | 0.5 * (Z(2) @ Z(0)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100110", "1101001", "1100101", "1100011", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0012) q[0];
rz(0.4721) q[0];
rx(-0.0057) q[1];
rz(0.6016) q[1];
rx(0.7133) q[2];
rz(-0.0031) q[2];
rx(0.7273) q[3];
rz(-0.0034) q[3];
rx(0.4867) q[4];
rz(0.0855) q[4];
rx(0.3766) q[5];
rz(-0.2068) q[5];
rx(-0.0033) q[6];
rz(0.5245) q[6];
rx(-0.0045) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -5.922577493450172, "params": [[[0.2661, 0.23670000000000002], [0.2523, -0.2318], [0.29460000000000003, -0.2127], [0.2924, 0.2149], [0.6437, -0.001], [0.6057, -0.0019], [0.6404000000000001, -0.0012000000000000001]], [[0.26330000000000003, 0.2369], [0.25370000000000004, -0.2318], ... | 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(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 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 ... | 1 | 7 | 3 | {"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;
rx(0.2661) q[0];
rz(0.2367) q[0];
rx(0.2523) q[1];
rz(-0.2318) q[1];
rx(0.2946) q[2];
rz(-0.2127) q[2];
rx(0.2924) q[3];
rz(0.2149) q[3];
rx(0.6437) q[4];
rz(-0.001) q[4];
rx(0.6057) q[5];
rz(-0.0019) q[5];
rx(0.6404) q[6];
rz(-0.0012) q[6];
rx(0.2633) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
-3614464490941379586 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 2, 4, 5], [2, 3, 5, 6, 7], [4, 6, 7], [0, 7], [1, 3]]} | {"states": [71, 103], "expectation_value": -0.790661632241955, "params": [[0.3378], [-0.326]], "bitstrings": ["10111000", "10011000"], "total_optimization_steps": 40, "probabilities": [0.013486347581968504, 0.013775484736972252], "optimization_time": 1.7649850845336914} | 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.783333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7, "smallest_bitstrings": ["10011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.3378) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(0.0338) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(0.3378) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.0563) q[1];
cx q[5], q[1];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
71e10f6a07412051601a17c1aaab540b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [124, 127], "expectation_value": -9.644451342338048, "params": null, "bitstrings": ["110000011", "110000000"], "total_optimization_steps": 87, "probabilities": [0.14054948102121503, 0.4201051956107943], "optimization_time": 98.88493275642395} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5681) q[6], q[5];
cry(1.231) q[5], q[6];
cry(1.57) q[5], q[4];
ry(-1.5681) q[1];
ry(-1.5708) q[0];
cry(1.5486) q[7], q[8];
cry(1.2305) q[8], q[7];
cry(1.5486) q[3], q[2];
cry(1.2305)... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5681) q[6], 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... |
833c89e8aca800e5707fb47ea63f9088 | community_detection | qaoa | {"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": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.01159356447505321, "params": [[0.06570000000000001], [-0.0594]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00025584239486879645, 0.0002558423948687965], "optimization_time": 5.629540681838989} | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.0017499999999999998 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.0017499999999999998 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5205000000000006, -1.5205000000000006], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5095000000000005, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0329) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
e9c462a1bd32b66e47c042d7665c8b8c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [19, 73], "expectation_value": -0.5301007710345683, "params": [[-0.0648, -0.0625], [0.0675, 0.061900000000000004]], "bitstrings": ["1101100", "0110110"], "total_optimization_steps": 10, "probabilities": [0.010860091186140395, 0.010929046319300185], "optimization_time": 3.1507890224456787} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + -1.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1001101", "0110110"]} | 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(-0.0648) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0648) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0648) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.0648) q[6];
cx q[1], q[6];
cx q[2], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 31.72909641265869} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "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];
cry(-1.3016) q[2], q[5];
cry(-1.3016) q[4], q[1];
cry(-1.1919) q[3], q[0];
ry(0.6705) q[2];
ry(-0.4657) q[5];
ry(0.6671) q[4];
ry(-0.4281) q[1];
cry(0.654) q[2], q[3];
cry(0.4958) q[2], q[4];
cry(0.4877) q[4], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.3016) q[2], 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 ... |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1779, 1791], "expectation_value": -7.9996494743438555, "params": null, "bitstrings": ["00100001100", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.07910048219878302, 0.2372423641888326], "optimization_time": 194.27559757232666} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + -0.5 * Z(2) | 1 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00100000000"]} | 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];
cry(1.5486) q[9], q[10];
cry(1.2305) q[10], q[9];
cry(1.5486) q[7], q[8];
cry(1.2305) q[8], q[7];
cry(1.5486) q[5], q[6];
cry(1.2305) q[6], q[5];
cry(1.5486) q[3], q[4];... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5486) q[9], q[10];\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... |
e9af1a9f112f5a53fb57fbd0d9beb1bf | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -0.40137069935245506, "params": [[-0.078], [0.07830000000000001]], "bitstrings": ["000000", "000001"], "total_optimization_steps": 10, "probabilities": [0.02063475150711548, 0.02114233833057013], "optimization_time": 1.080653429031372} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000001"]} | 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(0.234) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.234) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.234) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.156) q[3];
cx q[4], q[3];
rz(-0.078) q[1];
rz(-0.078) ... | 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]... | {"node": 6} | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -13.299660892050884, "params": [[0.0429, 0.0119], [-0.053200000000000004, -0.0402]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008980243281017947, 0.010192103327297372], "optimization_time": 4.1084372997283936} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3003) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3003) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3003) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3003) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
ebb45b3c08de8547137b1f8188eda7e0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [195, 995], "expectation_value": -15.772315374063933, "params": null, "bitstrings": ["1100111100", "0000011100"], "total_optimization_steps": 100, "probabilities": [0.10942044457445269, 0.47709736314229806], "optimization_time": 243.4365406036377} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[4], q[0];
cry(1.5708) q[0], q[1];
cry(1.1127) q[1], q[4];
cry(0.229) q[1], q[0];
ry(-1.5708) q[7];
cry(1.5708) q[3], q[2];
ry(1.1264) q[3];
ry(0.5462) q[2];
ry(-1.5... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[4], q[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] = measu... |
b2987b745cb916df3f5a63553d1bb231 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [472, 984], "expectation_value": -8.443417269271935, "params": null, "bitstrings": ["11000100111", "10000100111"], "total_optimization_steps": 93, "probabilities": [0.1901059049618924, 0.5178144530445998], "optimization_time": 213.86995697021484} | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 1 | 11 | 4 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"]} | 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];
ry(1.5708) q[4];
ry(1.5708) q[3];
cry(1.5708) q[3], q[6];
cry(1.4449) q[10], q[7];
cry(-1.4449) q[6], q[9];
cry(-1.4433) q[2], q[5];
cry(-0.9598) q[4], q[10];
cry(-0.813... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
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