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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -0.32681153681077235, "params": [[0.0799], [-0.0862]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.017856541151625282, 0.018328971654848876], "optimization_time": 1.2150506973266602} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0799) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0799) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0799) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0799) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0799... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} |
-7856415917632805201 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [3, 7], [0, 7], [0, 4], [1, 2], [3, 6], [2, 3], [0, 6], [4, 5], [2, 4]]} | {"states": [75, 180], "expectation_value": -0.07359015545549627, "params": [[-0.053700000000000005], [0.0632]], "bitstrings": ["10110100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.004394321810964351, 0.004394321810964351], "optimization_time": 1.6800744533538818} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110100", "01001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.0537) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(-0.0537) q[0];
cx q[7], q[0];
cx q[0], q[1];
rz(-0.0537) q[1];
cx q[0], q[1];
cx q[7], q[3];
rz(-0.0537) q[3];
cx q[7], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -0.0471966487591467, "params": [[-0.0477], [0.058800000000000005]], "bitstrings": ["10111", "10110"], "total_optimization_steps": 10, "probabilities": [0.03213071209231233, 0.033189212514172256], "optimization_time": 1.0050289630889893} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(4) @ Z(1)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(4) + -1.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0477) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.0477) q[3];
cx q[4], q[3];
cx q[1], q[2];
rz(-0.0238) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0238) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.0238) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[2];... | null | {"circuits": [], "gradients": []} |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [243, 218], "expectation_value": -19.50566688911472, "params": [[-0.035500000000000004, 0.0037], [0.07440000000000001, 0.0695]], "bitstrings": ["100001100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006105720582101916, 0.008529786538508827], "optimization_time": 6.423518896102905} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3195) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3195) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3195) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.3195) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f5d94ed048c28683c088d45a2d452aca | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 46], "expectation_value": -2.938232711322447, "params": [0.5016, 0.001, 1.6025, 0.0016, 0.4828, 0.0025, 1.6073000000000002, 0.0024000000000000002, 1.5908, 0.0011, 1.6097000000000001, 0.0014, 0.0031000000000000003, 0.0037, 0.0082, 0.001, 0.008400000000000001, 0.001, 0.0098, 0.0047], "bitstrings": ["10101... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5016) q[0];
rz(0.001) q[0];
rx(1.6025) q[1];
rz(0.0016) q[1];
rx(0.4828) q[2];
rz(0.0025) q[2];
rx(1.6073) q[3];
rz(0.0024) q[3];
rx(1.5908) q[4];
rz(0.0011) q[4];
rx(1.6097) q[5];
rz(0.0014) q[5];
rx(0.0031) q[6];
rz(0.0037) q[6];
crz(0.0047) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
8868119259763015765 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [15, 14], "expectation_value": -1.207219192651824, "params": [1.0546, 0.0031000000000000003, 1.1558000000000002, 0.0025, 1.8952, -0.0017000000000000001, 1.9007, -0.0032, 1.9118000000000002, -0.0029000000000000002, 1.2574, 0.0037, 1.8698000000000001, -1.1259000000000001, 1.2784, 1.2758, 1.2788000000000002], "... | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 4 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.0546) q[0];
rz(0.0031) q[0];
rx(1.1558) q[1];
rz(0.0025) q[1];
rx(1.8952) q[2];
rz(-0.0017) q[2];
rx(1.9007) q[3];
rz(-0.0032) q[3];
rx(1.9118) q[4];
rz(-0.0029) q[4];
rx(1.2574) q[5];
rz(0.0037) q[5];
crx(1.2788) q[5], q[4];
crx(1.2758) q[4], q[3];
crx(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
18eef7556e7c99f2056daf5370482c12 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -23.919252306982884, "params": [[-0.0292, -0.0187, 0.0297, 0.057100000000000005], [0.0579, 0.0546, 0.0135, -0.038900000000000004]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007606851544149024, 0.01033901779117083], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2628) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2628) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2628) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2628) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
cb984281b01d8ac3329105d04300364b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 511], "expectation_value": -60.65384383144777, "params": [[[0.0025, 0.0061], [0.0024000000000000002, 0.0014], [0.0023, 0.0025], [-1.6096000000000001, 0.0064], [-0.0025, 0.0053], [0.0025, 0.00030000000000000003], [0.0025, 0.0068000000000000005], [0.0025, 0.0013000000000000002], [0.0023, 0.0013000000000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(4)) + 1.0 * (Z(11) @ Z(6)) + -4.0 * (Z(11) @ Z(4)) + 1.5 * (Z(11) @ Z(9)) + 1.0 * (Z(12) @ Z(6)) + -3.0 * (Z(12) @ Z(4)) +... | 2 | 13 | 1 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["1111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0025) q[0];
rz(0.0061) q[0];
rx(0.0024) q[1];
rz(0.0014) q[1];
rx(0.0023) q[2];
rz(0.0025) q[2];
rx(-1.6096) q[3];
rz(0.0064) q[3];
rx(-0.0025) q[4];
rz(0.0053) q[4];
rx(0.0025) q[5];
rz(0.0003) q[5];
rx(0.0025) q[6];
rz(0.0068) q[6];
rx(0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 3} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [5, 42], "expectation_value": -0.6102952549598027, "params": [[0.0707, 0.06720000000000001, 0.0665, 0.06430000000000001], [-0.07590000000000001, -0.07060000000000001, -0.0664, -0.065]], "bitstrings": ["111010", "010101"], "total_optimization_steps": 10, "probabilities": [0.02729335509650066, 0.03390150482863... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0353) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0353) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.0353) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0353) q[0];
cx q[1], q[0];
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[... | null | {"circuits": [], "gradients": []} |
e0fbfdc4371baa71c9cf42bf0f74a8f2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [50, 54], "expectation_value": -4.972793244410635, "params": [0.3824, 0.0131, 0.2773, -0.0179, 0.15910000000000002, 0.0456, 0.17220000000000002, 0.0012000000000000001, 0.4071, -0.0, 0.39980000000000004, 0.0005, 0.4031, -0.002, 0.4043, 0.0004, 0.1905, 0.0334, 0.2615, -0.0155, 0.41040000000000004, -0.0011, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3824) q[0];
rz(0.0131) q[0];
rx(0.1591) q[1];
rz(0.0456) q[1];
rx(0.4071) q[2];
rz(0) q[2];
rx(0.4031) q[3];
rz(-0.002) q[3];
rx(0.1905) q[4];
rz(0.0334) q[4];
rx(0.4104) q[5];
rz(-0.0011) q[5];
rx(0.4015) q[6];
rz(-0.0006) q[6];
rx(0.0562) q[7];
rz(-0.16... | OPENQASM 3.0;
include "stdgates.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": []} |
2551666545296015213 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 3, 4, 5], [1, 2, 3, 4], [1, 2, 3, 5], [0, 1, 3, 4], [0, 1, 2]]} | {"states": [27, 53], "expectation_value": -0.8332362009301694, "params": [[-0.33840000000000003], [0.34840000000000004]], "bitstrings": ["100100", "001010"], "total_optimization_steps": 40, "probabilities": [0.030878253117201535, 0.03127505419139818], "optimization_time": 3.4798994064331055} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["001010"]} | 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(-0.1692) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1692) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1128) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.1128) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [27, 1], "expectation_value": -3.046958766101097, "params": [[0.0724], [-0.0799]], "bitstrings": ["11100100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007491888541335661, 0.009034152206607797], "optimization_time": 2.0790867805480957} | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2534) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4706) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2534) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2172) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
dd366ccc38fc70c5a69a002af9076c01 | 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": [339, 333], "expectation_value": -74.77497851776202, "params": [[[1.0974000000000002, 0.3623], [0.048, 0.3448], [1.0854000000000001, 0.3403], [0.5653, 0.4787], [0.5364, 0.5109], [0.4823, 0.6405000000000001], [0.7218, 0.2864], [0.1554, 1.0845], [0.0777, 1.0983], [0.26830000000000004, 0.4592], [-0.3885, 0.2441... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(10) @ Z(5)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 15.0 * Z(2) + 2.5 * Z(0) + 1.5 * Z(3) + 6.5 * Z(4) + ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["11010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0974) q[0];
ry(0.048) q[1];
ry(1.0854) q[2];
ry(0.5653) q[3];
ry(0.5364) q[4];
ry(0.4823) q[5];
ry(0.7218) q[6];
ry(0.1554) q[7];
ry(0.0777) q[8];
ry(0.2683) q[9];
ry(-0.3885) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
fa1aa02644db6485d126884facd8fbe5 | 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": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.13632605644447607, "params": [[-0.047900000000000005, -0.032100000000000004], [0.061700000000000005, 0.0468]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008992970611253242, 0.009187135307270599], "optimization_time": 1.9561815... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0479) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0479) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0479) q[3];
cx q[0], q[3];
cx q[5], q[1];
rz(-0.0479) q[1];
cx q[5], q[1];
cx q[3], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
6358d823634816a230e720ca61b6d85c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [14, 74], "expectation_value": -3.4963293579105, "params": null, "bitstrings": ["1110001", "0110101"], "total_optimization_steps": 25, "probabilities": [0.06705253209922088, 0.9295353182577965], "optimization_time": 19.97945499420166} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + -1.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(5) | 1 | 7 | 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": ["1011010", "0100111", "0110101", "1110001", "1110010", "1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[1];
ry(-1.4449) q[2];
ry(-1.4449) q[6];
ry(1.4449) q[3];
ry(1.4384) q[5];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4963) q[3], q[0];
cry(-0.3778) q[3], q[4];
cry(-0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
3536030517596435129 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [94, 110], "expectation_value": -1.6583588609687643, "params": [[0.26730000000000004], [-0.27290000000000003]], "bitstrings": ["10100001", "10010001"], "total_optimization_steps": 30, "probabilities": [0.010421431636268151, 0.010619896478954286], "optimization_time": 1.7763044834136963} | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[2];
rz(0.1693) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(0.1247) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(0.1693) q[6];
cx q[2], q[6];
cx q[5], q[7];
rz(0.2049) q[7];
cx q[5], q[7];
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[... | null | {"circuits": [], "gradients": []} |
3453868770478524081 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3, 5], [1, 2, 4], [2, 3, 4, 5], [0, 3], [0, 1, 2]]} | {"states": [29, 28], "expectation_value": -1.5081344926072824, "params": null, "bitstrings": ["100010", "100011"], "total_optimization_steps": 28, "probabilities": [0.06881461225840445, 0.8316146684607693], "optimization_time": 30.03285503387451} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.583333333333333, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4977) q[2];
cry(-1.0336) q[3], q[0];
ry(0.8505) q[3];
cry(-0.5761) q[2], q[0];
cry(0.4795) q[2], q[3];
ry(-0.3349) q[0];
ry(0.5531) q[1];
cry(-0.6895) q[1], q[4];
cry(0.491) q[2], q[1];
cry(-0.5193) q[2], 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];\nry(1.4977) 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 \"stdgat... |
903e48fe1c017d89c939e864aea4e4cc | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [95, 127], "expectation_value": -21.12490700014785, "params": null, "bitstrings": ["111110100000", "111110000000"], "total_optimization_steps": 100, "probabilities": [0.1117895472494035, 0.24079956370423292], "optimization_time": 278.4687123298645} | 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(0) @ Z(2)) + -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(10) @ Z(6)) + -3.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["111110000000"]} | 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[2], q[0];
ry(-1.5708) q[3];
cry(1.5708) q[5], q[8];
cry(1.5668) q[8], q[6];
cry(-0.0114) q[6], q[5];
ry(-0.2374) q[5];
cry(0.2374) q[8], q[5];
cry... | null | {"node": 0} | {"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[2], 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... |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [69, 38], "expectation_value": -0.2565658587834587, "params": [[0.0639, -0.0027], [-0.0584, -0.027600000000000003]], "bitstrings": ["0111010", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008941805342332238, 0.00894180534233224], "optimization_time": 2.810978889465332} | 0.5 * (Z(0) @ 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(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"]} | 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(0.0639) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0639) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0639) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(0.0639) q[3];
cx q[5], 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;
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": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423466, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 123.3744626045227} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[4];
cry(1.5708) q[4], q[3];
cry(1.5626) q[7], q[6];
cry(1.2309) q[6], q[7];
cry(1.5486) q[3], q[5];
cry(1.5486) q[6], q[2];
cry(1.5626) q[5], q[1];
cry(-1.3016) q[7], q[0];
cry(0.7966... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
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": -9.805998596850246, "params": [-0.057100000000000005, 1.3596000000000001, 0.1555, 0.3597, 0.761, 0.6006, 0.16640000000000002, 1.7999, 0.8147000000000001, 1.1864000000000001, 0.0709, 1.3617000000000001, 0.8153, 0.9865, -0.1109, 1.4474, 0.012100000000000001, 1.1537, 0.00060000000... | -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 | 2 | {"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(-0.0571) q[0];
rz(1.3596) q[0];
rx(0.761) q[1];
rz(0.6006) q[1];
rx(0.8147) q[2];
rz(1.1864) q[2];
rx(0.8153) q[3];
rz(0.9865) q[3];
rx(0.0121) q[4];
rz(1.1537) q[4];
rx(0.0069) q[5];
rz(1.1148) q[5];
rx(0.8351) q[6];
rz(1.0268) q[6];
rx(0.8432) q[7];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
-5282272642115059184 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 4], [1, 4], [1, 3]]} | {"states": [7, 28], "expectation_value": -0.4419861651180388, "params": [[0.3763], [-0.35860000000000003]], "bitstrings": ["11000", "00011"], "total_optimization_steps": 40, "probabilities": [0.06557769166850058, 0.06610798440741435], "optimization_time": 0.8243005275726318} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.1254) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.1254) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.1254) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.3763) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.3763) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[4], q[... | null | {"circuits": [], "gradients": []} |
c9c78c5b8e0c734df7d98b4ae5d6e5a1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.080642830306987, "params": [0.0913, 0.050100000000000006, 0.0424, 0.0222, -0.002, 0.3104, 0.006, 0.316, -0.0006000000000000001, 0.31, 0.0077, 0.2816, 0.4091, -0.0016, 0.4058, -0.0014, 0.005, 0.30410000000000004, -0.0024000000000000002, 0.3057, 0.0025, 0.30860000000000004, 0.... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0913) q[0];
rz(0.0501) q[0];
rx(-0.002) q[1];
rz(0.3104) q[1];
rx(-0.0006) q[2];
rz(0.31) q[2];
rx(0.4091) q[3];
rz(-0.0016) q[3];
rx(0.005) q[4];
rz(0.3041) q[4];
rx(0.0025) q[5];
rz(0.3086) q[5];
rx(0.0111) q[6];
rz(0.2491) q[6];
rx(0.0067) 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": []} |
9c35af834c4afdbeb26c716a2c76ebbb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1352, 1864], "expectation_value": -135.00715914793668, "params": [[[0.5676, 0.0013000000000000002], [1.5912000000000002, 0.2871], [0.8764000000000001, 0.4262], [1.5804, 1.0551000000000001], [0.0029000000000000002, 0.9973000000000001], [0.037000000000000005, 1.2815], [-0.17550000000000002, 1.5779], [-0.09230... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -157.5, "smallest_bitstrings": ["100010110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.5676) q[0];
ry(1.5912) q[1];
ry(0.8764) q[2];
ry(1.5804) q[3];
ry(0.0029) q[4];
ry(0.037) q[5];
ry(-0.1755) q[6];
ry(-0.0923) q[7];
ry(-0.0066) q[8];
ry(-0.0672) q[9];
ry(-0.2074) q[10];
ry(0.0869) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 46], "expectation_value": -0.06417498315301556, "params": [[0.0621], [-0.058300000000000005]], "bitstrings": ["011100", "010001"], "total_optimization_steps": 10, "probabilities": [0.01675152591553067, 0.016772464811943194], "optimization_time": 0.8996658325195312} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0621) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0621) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.0621) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(0.0621) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.0621... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [115, 123], "expectation_value": -4.4185923870685855, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 59, "probabilities": [0.16476189183352727, 0.6119730066251393], "optimization_time": 75.08746433258057} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5681) q[5];
cry(-1.5681) q[7], q[0];
ry(1.0378) q[7];
ry(-0.5147) q[0];
cry(1.5071) q[7], q[6];
cry(0.289) q[6], q[7];
cry(1.3559) q[7], q[1];
cry(0.9679) q[6], q[2];
cry(0.9384) q[2], q[3];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
4710468829905425980 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 6, 8, 9], [0, 3, 4, 6, 8, 9], [0, 1, 4, 5, 6, 8], [0, 2, 4, 6, 7, 8], [0, 9, 2], [1, 3, 5, 6], [0, 2, 3, 6, 7, 8], [0, 2, 3, 4, 5, 6, 7], [0, 1, 4, 6, 8, 9], [1, 2, 4, 5, 6, 7, 8], [8, 2, 3, 4], [1, 4, 5, 8, 9]]} | {"states": [1005, 493], "expectation_value": -1.8135355303606795, "params": [1.2375, 0.2664, 0.9753000000000001, 0.0079, 1.2425000000000002, 0.1403, 1.1964000000000001, 0.006900000000000001, 1.2468000000000001, 0.21680000000000002, 1.0917000000000001, 0.0053, 1.2178, 0.1404, 1.1976, 0.0025, 1.2535, 0.17300000000000001,... | 0.07380952380952381 * (Z(1) @ Z(2)) + 0.16428571428571428 * (Z(6) @ Z(2)) + 0.22380952380952382 * (Z(6) @ Z(1)) + 0.2238095238095238 * (Z(8) @ Z(2)) + 0.19047619047619047 * (Z(8) @ Z(1)) + 0.24047619047619045 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(9) @ Z(2)) + 0.13333333333333336 * (Z(9) @ Z(1)) + 0.116666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.5142857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4642857142857144, "smallest_bitstrings": ["1000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2375) q[0];
rz(0.2664) q[0];
rx(1.2425) q[1];
rz(0.1403) q[1];
rx(1.2468) q[2];
rz(0.2168) q[2];
rx(1.2178) q[3];
rz(0.1404) q[3];
rx(1.2535) q[4];
rz(0.173) q[4];
rx(1.1355) q[5];
rz(-0.1557) q[5];
rx(1.2445) q[6];
rz(0.2243) q[6];
rx(1.2178) 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": []} |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 19.597529888153076} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
cry(-0.1188) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 54], "expectation_value": -1.5695145518136733, "params": [0.0025, 0.006900000000000001, 1.6127, 0.0071, 1.6022, 0.0048000000000000004, 0.9871000000000001, 0.0036000000000000003, 1.613, 0.0092, 1.6022, 0.0034000000000000002, 0.0021000000000000003, 0.009600000000000001, 0.0015, 0.0026000000000000003, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0025) q[0];
rz(0.0069) q[0];
rx(1.6127) q[1];
rz(0.0071) q[1];
rx(1.6022) q[2];
rz(0.0048) q[2];
rx(0.9871) q[3];
rz(0.0036) q[3];
rx(1.613) q[4];
rz(0.0092) q[4];
rx(1.6022) q[5];
rz(0.0034) q[5];
rx(0.0021) q[6];
rz(0.0096) q[6];
crz(0.0015) q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8ea4bcc4df3e10de0c557d9b64e2ab10 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -17.0209815190807, "params": [-0.062400000000000004, -0.2018, 0.0853, -0.1398, -0.0105, 0.9343, 0.0099, 0.9577, 0.45780000000000004, 0.10980000000000001, 0.4803, -0.16970000000000002, -0.4157, 1.0804, 0.4333, 0.536, -0.0367, 0.5364, 0.0187, 0.7911, -0.0673, 0.42600000000000005,... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 2 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0624) q[0];
rz(-0.2018) q[0];
rx(-0.0105) q[1];
rz(0.9343) q[1];
rx(0.4578) q[2];
rz(0.1098) q[2];
rx(-0.4157) q[3];
rz(1.0804) q[3];
rx(-0.0367) q[4];
rz(0.5364) q[4];
rx(-0.0673) q[5];
rz(0.426) q[5];
rx(-0.1048) q[6];
rz(0.5264) q[6];
rx(-0.0488) 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": []} |
da3c81488557dc57e6e1f0bd43d65336 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [36, 37], "expectation_value": -1.4685910951701948, "params": [[[1.6621000000000001, 0.0013000000000000002], [0.4441, 0.0029000000000000002], [0.4259, 0.0059], [1.6707, 0.0083], [0.441, 0.0068000000000000005], [1.6498000000000002, 0.0074]]], "bitstrings": ["011011", "011010"], "total_optimization_steps": 180... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6621) q[0];
rz(0.0013) q[0];
rx(0.4441) q[1];
rz(0.0029) q[1];
rx(0.4259) q[2];
rz(0.0059) q[2];
rx(1.6707) q[3];
rz(0.0083) q[3];
rx(0.441) q[4];
rz(0.0068) q[4];
rx(1.6498) q[5];
rz(0.0074) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
-1730963572985351310 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 3], [1, 3]]} | {"states": [1, 14], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1110", "0001"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898925], "optimization_time": 10.979207515716553} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 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... |
3cfba9b8e6135f1a74b155ada7fa97bf | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [1919, 4095], "expectation_value": -17.176888712489095, "params": null, "bitstrings": ["100010000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.06626711431908476, 0.3707380330674401], "optimization_time": 248.8274416923523} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "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[2], q[3];
ry(1.0383) q[2];
cry(1.5708) q[4], q[0];
ry(1.1477) q[4];
ry(0.5061) q[3];
cry(1.5708) q[6], q[7];
cry(1.5708) q[7], q[5];
cry(1.14) q[5... | null | {"node": 7} | {"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[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
e92ce8fa25db39ba04f721102646d9a7 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [214, 198], "expectation_value": -4.434741594539258, "params": [0.8894000000000001, -0.006900000000000001, 0.8389000000000001, -0.0463, 0.1804, -0.26, 0.48750000000000004, -0.24600000000000002, 0.043000000000000003, -0.3089, 0.8344, -0.0, 0.8978, 0.0013000000000000002, -0.0027, -0.5075000000000001, 0.8931, -... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + -1.5 * Z(7) + 0.0 * Z(6) + -0.5... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01101001", "01001011", "00111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8894) q[0];
rz(-0.0069) q[0];
rx(0.8389) q[1];
rz(-0.0463) q[1];
rx(0.1804) q[2];
rz(-0.26) q[2];
rx(0.4875) q[3];
rz(-0.246) q[3];
rx(0.043) q[4];
rz(-0.3089) q[4];
rx(0.8344) q[5];
rz(0) q[5];
rx(0.8978) q[6];
rz(0.0013) q[6];
rx(-0.0027) q[7];
rz(-0.50... | OPENQASM 3.0;
include "stdgates.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": []} |
351f46008c2fa6d2dfb6c8e40fb9b957 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [21, 28], "expectation_value": -4.496398053155684, "params": null, "bitstrings": ["1101010", "1100011"], "total_optimization_steps": 31, "probabilities": [0.06635227233402181, 0.930326732686416], "optimization_time": 21.976420640945435} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0110101", "1010101", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[5];
ry(-1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-1.0343) q[3], q[6];
ry(0.7003) q[3];
cry(-0.1259) q[4], q[0];
ry(-0.4549) q[6];
cry(0.4962) q[4], q[3];
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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e0219859fe5323da900386888c160b89 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1937, 1681], "expectation_value": -77.44296029065399, "params": [-0.0046, 0.3831, 0.6047, -0.0009000000000000001, 0.5977, 0.0682, 0.3608, 0.1481, 0.6008, -0.0489, 0.3478, -0.1058, -0.020200000000000003, 0.38530000000000003, 0.6011000000000001, 0.09770000000000001, -0.013800000000000002, 0.3285, 0.3272, -0.0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(5)) + 7.5 * (Z(10) @ Z(11)) + 6.0 * Z(1) + -5.0 * Z(0) + 3.5 * Z(3) + 15.5 * Z(2) + 15.0 * Z(4) + 3.0 * Z... | 18 | 12 | 4 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["100101101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0046) q[0];
rz(0.3831) q[0];
rx(0.6047) q[1];
rz(-0.0009) q[1];
rx(0.5977) q[2];
rz(0.0682) q[2];
rx(0.3608) q[3];
rz(0.1481) q[3];
rx(0.6008) q[4];
rz(-0.0489) q[4];
rx(0.3478) q[5];
rz(-0.1058) q[5];
rx(-0.0202) q[6];
rz(0.3853) q[6];
rx(0.6011) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
3004355c8615a6969336e2d6fce36811 | 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": [1857, 835], "expectation_value": -37.943045223615144, "params": [[[0.3433, 0.2837], [0.49560000000000004, 0.4509], [0.5032, 0.3027], [0.1666, 0.49100000000000005], [0.5019, 0.49100000000000005], [0.16, 0.4868], [-0.029, 0.2807], [0.438, 0.39490000000000003], [-0.0926, 0.28190000000000004], [0.4995, 0.474500... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(0) + 8.5 * Z(1) + 6.0 * Z(2) + 5.0 * Z(3) + 1... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["10010111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3433) q[0];
ry(0.4956) q[1];
ry(0.5032) q[2];
ry(0.1666) q[3];
ry(0.5019) q[4];
ry(0.16) q[5];
ry(-0.029) q[6];
ry(0.438) q[7];
ry(-0.0926) q[8];
ry(0.4995) q[9];
ry(0.4949) 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], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
5617504790336931541 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1, 2], [2, 5, 6], [0, 1, 4, 6], [3, 4, 5, 6], [1, 4, 5, 6], [2, 3, 5]]} | {"states": [54, 93], "expectation_value": -0.7290144981064014, "params": [[-0.2871], [0.2791]], "bitstrings": ["1001001", "0100010"], "total_optimization_steps": 30, "probabilities": [0.017315693063646657, 0.017673514786791203], "optimization_time": 1.2710022926330566} | 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["0100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(-0.2871) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.1436) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0957) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0.0957) q[2];
cx q[1], q[2];
cx q[0], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | 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": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1382, 2713], "expectation_value": -0.014792273269996664, "params": [[0.07200000000000001], [-0.0694]], "bitstrings": ["101010011001", "010101100110"], "total_optimization_steps": 10, "probabilities": [0.00025905640627190335, 0.0002590564062719034], "optimization_time": 5.112097501754761} | 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.... | 5 | 12 | 1 | {"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;
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(0.036) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) 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": []} |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -0.2850508130426134, "params": [[0.07540000000000001], [-0.0825]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010158541925407836, 0.010259355915978818], "optimization_time": 1.6660678386688232} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "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];
cx q[4], q[0];
rz(-0.1131) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0754) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.1131) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0377) q[2];
cx q[5], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -14.431357271173743, "params": [[-0.037200000000000004, 0.055600000000000004], [0.0726, -0.030000000000000002]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004779558129099949, 0.005301211721685024], "optimization_time": 3.371... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3348) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3348) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3348) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -9.244736010326054, "params": [0.0028, 0.3745, 0.004, 0.46230000000000004, 0.0014, 0.4475, 0.0016, 0.45570000000000005, 0.0038, 0.4324, 0.0031000000000000003, 0.45030000000000003, 0.0024000000000000002, 0.385, 0.6091, -0.001, 0.0024000000000000002, -0.2841, 0.0009000000000000001,... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.3745) q[0];
rx(0.004) q[1];
rz(0.4623) q[1];
rx(0.0014) q[2];
rz(0.4475) q[2];
rx(0.0016) q[3];
rz(0.4557) q[3];
rx(0.0038) q[4];
rz(0.4324) q[4];
rx(0.0031) q[5];
rz(0.4503) q[5];
rx(0.0024) q[6];
rz(0.385) q[6];
rx(0.6091) q[7];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2e72b2edf6aca865187ef12ca566f747 | 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": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2},... | {"states": [2032, 2039], "expectation_value": -3.2827826529372564, "params": [[-0.061000000000000006], [0.0752]], "bitstrings": ["00000001111", "00000001000"], "total_optimization_steps": 10, "probabilities": [0.001005545368432861, 0.0010357081403543963], "optimization_time": 4.088111400604248} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + -3.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.0, "smallest_bitstrings": ["00000001000"]} | 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(0.366) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.366) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.366) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | {"node": 9} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [988, 1623], "expectation_value": -0.1641171975453024, "params": [[0.0201, -0.0439], [-0.0368, 0.038900000000000004]], "bitstrings": ["10000100011", "00110101000"], "total_optimization_steps": 10, "probabilities": [0.0005250590516025817, 0.0005250590516025817], "optimization_time": 8.50637674331665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
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(0.0201) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0201) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0201) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0201) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
-3515313468648920549 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2], [0, 1], [2, 3]]} | {"states": [10, 9], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["0101", "0110"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 7.86807656288147} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[3], q[2];
cry(-1.0342) q[0], q[1];
ry(1.0293) q[0];
ry(-0.6992) q[1];
ry(0.7003) q[3];
cry(-0.795) q[0], q[2];
cry(0.668) q[0], q[3];
cry(0.3724) q[3], q[0];
ry(-0.1994) q[2];
cry(-0.2465) q[3], q[1];
cry(0.0825) ... | 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[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
4e1e131ba2ff0afb42d5840cf309482d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -17.736353996513056, "params": [0.0053, 0.33940000000000003, -0.0024000000000000002, -0.23820000000000002, 0.0009000000000000001, 0.4617, 0.0016, 0.4539, 0.5959, 0.007, 0.0009000000000000001, 0.43960000000000005, 0.0018000000000000002, 0.44260000000000005, 0.6012000000000001, 0.0... | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0053) q[0];
rz(0.3394) q[0];
rx(-0.0024) q[1];
rz(-0.2382) q[1];
rx(0.0009) q[2];
rz(0.4617) q[2];
rx(0.0016) q[3];
rz(0.4539) q[3];
rx(0.5959) q[4];
rz(0.007) q[4];
rx(0.0009) q[5];
rz(0.4396) q[5];
rx(0.0018) q[6];
rz(0.4426) q[6];
rx(0.6012) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
18eef7556e7c99f2056daf5370482c12 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [202, 234], "expectation_value": -42.98247639219426, "params": null, "bitstrings": ["100110101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.17712296465766092, 0.21581777408593364], "optimization_time": 184.19712209701538} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | 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(23.9941) q[2];
ry(63.0778) q[5];
ry(13.1571) q[3];
ry(13.4204) q[1];
cry(1.7253) q[1], q[5];
cry(-17.8181) q[5], q[3];
ry(4.1019) q[6];
ry(-0.2246) q[7];
cry(2.5876) q[3], q[7];
cry(-41... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
06224520ded029e940b1fde3f5ab3e3b | 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": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.01157318900472452, "params": [[0.06860000000000001], [-0.0567]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00025582157692673337, 0.0002558215769267334], "optimization_time": 5.9070775508880615} | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "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(0.0343) 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": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -0.14297769136888366, "params": [[0.0603], [-0.0487]], "bitstrings": ["110001", "110010"], "total_optimization_steps": 10, "probabilities": [0.01673984073783348, 0.016918409773562914], "optimization_time": 1.695958137512207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0603) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0603) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0603) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0603) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0603... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} |
c5b30b94cad3afd2b2d3cf8b55cce16a | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 88.46178579330444} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[6];
ry(1.5709) q[5];
cry(1.5708) q[6], q[7];
cry(-1.5708) q[7], q[0];
cry(-1.5708) q[5], q[2];
cry(-1.2886) q[5], q[1];
ry(-0.0628) q[1];
cry(-1.1102) q[7], q[6];
cry(0.007) q[5], q[6... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) 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[... |
-7816867425149819707 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [5, 6], [0, 3], [3, 6], [4, 5], [0, 4], [0, 5], [1, 3], [1, 4], [0, 6], [2, 3]]} | {"states": [13, 14], "expectation_value": -2.6365746207913268, "params": null, "bitstrings": ["1110010", "1110001"], "total_optimization_steps": 54, "probabilities": [0.15725874064604306, 0.5627815425972087], "optimization_time": 61.12922692298889} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110010", "0001110", "0001101", "1001100", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[0];
cry(-1.0342) q[4], q[1];
ry(1.0293) q[4];
cry(1.4052) q[4], q[3];
cry(-0.9035) q[3], q[1];
cry(-1.5332) q[4], q[2];
cry(-0.9281) q[5], q[6];
cry(0.2549) q[3], q[4];
ry(0.1433) q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
c69798a15730b7afdff62476bc09c790 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [1007, 903], "expectation_value": -16.509144921796146, "params": null, "bitstrings": ["0000010000", "0001111000"], "total_optimization_steps": 100, "probabilities": [0.14357376377727366, 0.4187150195263199], "optimization_time": 212.17908310890198} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(6)) + -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(2) + -2.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0001111000"]} | 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[6], q[3];
cry(1.5708) q[6], q[4];
ry(-0.9828) q[4];
ry(-0.4106) q[3];
ry(-1.5708) q[5];
cry(-0.5515) q[9], q[4];
cry(-0.7968) q[9], q[3];
cry(-0.6428) q[9], q[6];
c... | null | {"node": 3} | {"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[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
5922738481475965753 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [1, 2], [5, 6], [3, 4], [2, 5], [4, 5], [2, 3], [0, 5]]} | {"states": [117, 85], "expectation_value": -2.686894901017727, "params": null, "bitstrings": ["0001010", "0101010"], "total_optimization_steps": 53, "probabilities": [0.31052353342838934, 0.5188283099138324], "optimization_time": 55.47326970100403} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110101", "0001010", "0101010", "1010101"]} | 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(-1.0342) q[6], q[5];
cry(-1.0342) q[4], q[3];
ry(1.0293) q[4];
cry(1.4052) q[4], q[2];
cry(-0.9035) q[2], q[3];
cry(-0.7688) q[4], q[5];
ry(1.2466) q[6];
cry(1.3682) q[6], q[0];
ry(-0.2413) q[5];
cry(... | 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];\ncry(-1.0342) 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[6] = measure q[6... |
d609fb0bdfb5a6750e8877837b4fffb7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [59, 63], "expectation_value": -25.550543335805298, "params": [-0.0024000000000000002, 0.0054, -0.0024000000000000002, 0.0046, -0.0025, 0.00030000000000000003, -0.0024000000000000002, 0.0013000000000000002, -0.0024000000000000002, 1.4228, 0.0028, 0.5907, 0.0025, 0.5658000000000001, 2.2204, 0.9926, 0.81470000... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.... | 4 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0024) q[0];
rz(0.0054) q[0];
rx(-0.0024) q[1];
rz(0.0046) q[1];
rx(-0.0025) q[2];
rz(0.0003) q[2];
rx(-0.0024) q[3];
rz(0.0013) q[3];
rx(-0.0024) q[4];
rz(1.4228) q[4];
rx(0.0028) q[5];
rz(0.5907) q[5];
rx(0.0025) q[6];
rz(0.5658) q[6];
rx(2.2204) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
7864173975676994353 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2], [1, 3], [0, 4], [5, 6], [5, 7]]} | {"states": [108, 60], "expectation_value": -2.8132981794124596, "params": null, "bitstrings": ["10010011", "11000011"], "total_optimization_steps": 51, "probabilities": [0.05601950316019832, 0.7992381227549947], "optimization_time": 43.64392685890198} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010011", "01101100", "00111100", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[4], q[0];
ry(1.3762) q[2];
cry(-0.5042) q[2], q[0];
ry(1.1464) q[4];
ry(-0.4336) q[0];
cry(-0.5042) q[2], q[6];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[7];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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] = me... |
1594755842983474305 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4], [1, 2, 4], [0, 2, 5, 7, 9], [0, 3, 6], [0, 5, 6, 8, 11], [8, 10, 7], [2, 3, 4, 7, 8], [10, 11, 4, 7], [1, 2, 5, 6, 11], [0, 3, 4, 5, 7, 8, 9]]} | {"states": [943, 1007], "expectation_value": -2.3527668797724437, "params": [[[0.4597, 0.0001], [0.41450000000000004, 0.0053], [3.1443000000000003, 0.0071], [3.1433, 0.0088], [3.1398, 0.001], [1.6700000000000002, 0.0051], [3.1438, 0.0081], [0.46240000000000003, 0.008], [3.1438, 0.0002], [3.1394, 0.0064], [2.6616, 0.005... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.24047619047619048 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.19047619047619047 * (Z(0) @ Z(3)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.023809... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.5738095238095235, -2.5738095238095235, -2.5738095238095235], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.526190476190477, "smallest_bitstrings": ["010000110100", "001101000010", "110000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4597) q[0];
rz(0.0001) q[0];
rx(0.4145) q[1];
rz(0.0053) q[1];
rx(3.1443) q[2];
rz(0.0071) q[2];
rx(3.1433) q[3];
rz(0.0088) q[3];
rx(3.1398) q[4];
rz(0.001) q[4];
rx(1.67) q[5];
rz(0.0051) q[5];
rx(3.1438) q[6];
rz(0.0081) q[6];
rx(0.4624) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243198, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348414, 0.6769882732250436], "optimization_time": 494.8954541683197} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 2 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[11];
ry(0.4397) q[8];
cry(1.0878) q[8], q[11];
cry(0.0908) q[11], q[8];
ry(1.5708) q[6];
cry(0.9428) q[6], q[8];
ry(1.5707) q[5];
cry(1.56... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
1408234504470828730 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [59, 452], "expectation_value": -0.08936544795734949, "params": [[-0.046900000000000004], [0.057]], "bitstrings": ["111000100", "000111011"], "total_optimization_steps": 10, "probabilities": [0.002145895679097773, 0.002145895679097773], "optimization_time": 2.175330400466919} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"]} | 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[5], q[3];
rz(-0.0469) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(-0.0469) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(-0.0469) q[2];
cx q[3], q[2];
cx q[3], q[8];
rz(-0.0469) q[8];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];... | null | {"circuits": [], "gradients": []} |
9d210320770659afd6c4df9432851dd5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 1021], "expectation_value": -6.947116426117911, "params": [-0.39230000000000004, 0.27840000000000004, 0.5783, 0.006900000000000001, -0.7571, 0.3387, 0.7214, 0.0091, -0.8156, 0.33330000000000004, 0.7527, 0.006, 0.7707, 0.5321, -0.097, 0.0079, 0.7816000000000001, 0.7256, -0.10020000000000001, 0.0067, 0.784... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 6 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.3923) q[0];
rz(0.2784) q[0];
rx(-0.7571) q[1];
rz(0.3387) q[1];
rx(-0.8156) q[2];
rz(0.3333) q[2];
rx(0.7707) q[3];
rz(0.5321) q[3];
rx(0.7816) q[4];
rz(0.7256) q[4];
rx(0.784) q[5];
rz(0.8826) q[5];
rx(0.9017) q[6];
rz(1.0488) q[6];
rx(0.8855) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
2176076778769383379 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 5], [0, 1, 5, 8, 9], [0, 9, 2, 4], [2, 6], [0, 4, 6], [0, 5, 6], [9, 7], [1, 6, 7], [0, 2, 5]]} | {"states": [998, 1012], "expectation_value": -1.1881367099930416, "params": [[0.3677], [-0.3683]], "bitstrings": ["0000011001", "0000001011"], "total_optimization_steps": 40, "probabilities": [0.003988895149771623, 0.00399191115243624], "optimization_time": 5.876968860626221} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(8)) + 0.3833333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(8)) + 0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6999999999999993, "smallest_bitstrings": ["0000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[8];
rz(0.0613) q[8];
cx q[2], q[8];
cx q[2], q[3];
rz(0.0613) q[3];
cx q[2], q[3];
cx q[8], q[3];
rz(0.0613) q[3];
cx q[8], q[3];
cx q[2], q[5];
rz(0.1839) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [628, 596], "expectation_value": -5.32648008624771, "params": [0.7954, 0.0064, 0.0036000000000000003, 0.5867, 0.0027, 0.5944, 0.7937000000000001, 0.4877, 0.7676000000000001, 0.44170000000000004, 0.8022, 0.012, -0.0004, 0.5022, 0.7926000000000001, 0.2311, 0.7877000000000001, 0.3426, 0.0025, 0.6053000000000001... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 18 | 10 | 3 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7954) q[0];
rz(0.0064) q[0];
rx(0.0036) q[1];
rz(0.5867) q[1];
rx(0.0027) q[2];
rz(0.5944) q[2];
rx(0.7937) q[3];
rz(0.4877) q[3];
rx(0.7676) q[4];
rz(0.4417) q[4];
rx(0.8022) q[5];
rz(0.012) q[5];
rx(-0.0004) q[6];
rz(0.5022) q[6];
rx(0.7926) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
78f89ba37e1e52ef320c2e0609cedde3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [83, 215], "expectation_value": -3.184889683730556, "params": [[1.5728, 0.002, 0.0345, -1.5677, 0.003, -1.5696, 0.027600000000000003, 0.0021000000000000003, -0.9578000000000001], [-1.5677, -0.0302, 0.002, 1.1652, -0.007, -0.9022, -0.002, -0.0217, 1.5728], [1.5728, -0.0033, -1.1592, 1.5729, 0.0028, 1.5729, 0.... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 9 | 9 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"]} | 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];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5728) q[0];
rx(0.002) q[1];
rx(0.0345) q[2];
rx(-1.5677) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-641285898737926161 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [0, 6], [2, 5, 7], [0, 7], [4, 5, 6, 7], [2, 4, 6, 7], [3, 4, 7], [3, 6, 7], [2, 5, 6], [0, 1]]} | {"states": [83, 115], "expectation_value": -0.02260219454976049, "params": [[-0.027600000000000003], [0.0362]], "bitstrings": ["10101100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.00399995767772004, 0.004009392350838799], "optimization_time": 2.478250741958618} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666665, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0276) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0276) q[5];
cx q[3], q[5];
cx q[3], q[6];
rz(-0.0092) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0276) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
aea6a89d3c3579868a0840a59a53452a | 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": [933, 805], "expectation_value": -53.36494870527222, "params": [[[1.0054, 0.5507000000000001], [1.0034, 0.2692], [1.0047000000000001, 0.1753], [0.5798, 0.3773], [0.1822, 0.36610000000000004], [1.0064, 0.9284], [-0.2566, 0.9945], [-0.3966, 0.7708], [0.3791, 1.0018], [0.1068, 0.5632], [-0.2278, 0.041]], [[0.99... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + -2.0 * Z(0) + 14.0 * Z(1) + 7.0 * Z(3) + 8.5 * Z(2) + 3.0 * Z(4) + 7.0 * Z(5... | 15 | 11 | 2 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0054) q[0];
ry(1.0034) q[1];
ry(1.0047) q[2];
ry(0.5798) q[3];
ry(0.1822) q[4];
ry(1.0064) q[5];
ry(-0.2566) q[6];
ry(-0.3966) q[7];
ry(0.3791) q[8];
ry(0.1068) q[9];
ry(-0.2278) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.5340002097863652, "params": [[-0.0761], [0.07]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03721980656495729, 0.03923601908391587], "optimization_time": 1.0397534370422363} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2283) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1522) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.2663) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.1142) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1903) q[3];... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -21.698547955782388, "params": [[0.0374, 0.01], [-0.0847, -0.0704]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007634836666007287, 0.009563424265851345], "optimization_time": 3.2717785835266113} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3366) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3366) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.3366) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.3366) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
ee3d1657115ac7fe63817a76eff6e74f | 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": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [190, 174], "expectation_value": -76.69053467813194, "params": [-0.0024000000000000002, 0.4937, 0.7894, 0.0063, 0.0032, 0.45880000000000004, 0.7855000000000001, 0.0692, 0.3841, 0.1905, 0.7862, -0.0026000000000000003, 0.782, 0.0035, 0.7865000000000001, 0.0984, 0.38720000000000004, 0.19740000000000002, -0.0004... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0024) q[0];
rz(0.4937) q[0];
rx(0.7894) q[1];
rz(0.0063) q[1];
rx(0.0032) q[2];
rz(0.4588) q[2];
rx(0.7855) q[3];
rz(0.0692) q[3];
rx(0.3841) q[4];
rz(0.1905) q[4];
rx(0.7862) q[5];
rz(-0.0026) q[5];
rx(0.782) q[6];
rz(0.0035) q[6];
rx(0.7865) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.7325580373052829, "params": [[-0.0724, -0.065, -0.0813], [0.07590000000000001, 0.0703, 0.0757]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.028330906118990685, 0.030178731793406084], "optimization_time": 2.8536839485168457} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"]} | 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(0.1086) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0724) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0362) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.0362) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.144... | OPENQASM 3.0;
include "stdgates.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": []} |
a91613587e2e3ed31c854337981da9dd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.025095818576479204, "params": [[-0.0216], [0.0111]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.003964409337440532, 0.003969922669235478], "optimization_time": 3.4452006816864014} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0108) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.0216) q[7];
cx q[0], q[7];
cx q[1], q[2];
rz(0.054) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0108) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1ab76c2cb297d60b963c98d94aac7ce1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [646, 647], "expectation_value": -90.51479914234302, "params": [[[0.9965, 0.0028], [-0.0161, 0.008700000000000001], [0.9871000000000001, 0.6198], [-0.0119, 0.6675], [0.00030000000000000003, -0.0035], [0.18330000000000002, -0.0032], [-0.1111, -0.0471], [-0.0459, 0.8395], [0.42860000000000004, 0.49200000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(9) @ Z(1)) + 20.5 * Z(0) + 1.0 * Z(1) + 22.0 * Z(2) + 3.5 * Z(3) + 10.0 * Z(5) + 7.5 * Z(7)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["0101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9965) q[0];
ry(-0.0161) q[1];
ry(0.9871) q[2];
ry(-0.0119) q[3];
ry(0.0003) q[4];
ry(0.1833) q[5];
ry(-0.1111) q[6];
ry(-0.0459) q[7];
ry(0.4286) q[8];
ry(0.5807) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
3c25f4733a6ff92642f47c1f75f8c86b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 55], "expectation_value": -85.08512868891482, "params": [0.0039000000000000003, 0.0029000000000000002, -0.0106, -0.0056, -0.0011, -0.0097, 0.5274, 0.5235000000000001, 0.4409, 0.39080000000000004, 0.1774, 0.17320000000000002, 0.5112, 0.5131, 0.3793, 0.4219, 0.3744, 0.3644, 0.0015, -0.0018000000000000002,... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 12.5 * Z(3) + 0.5 * Z(2) + 21.5 * Z(6) + 2.0 * Z(1) + 15.5 * Z(4) + 13.5 * Z(5... | 14 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0039) q[0];
ry(-0.0106) q[1];
ry(-0.0011) q[2];
ry(0.5274) q[3];
ry(0.4409) q[4];
ry(0.1774) q[5];
ry(0.5112) q[6];
ry(0.3793) q[7];
ry(0.3744) q[8];
crx(-0.0028) q[8], q[0];
crx(0.1026) q[7], q[8];
crx(0.0335) q[6], q[7];
crx(0.262) q[5], q[6];
crx(-0.34... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
a61196a27e9d77181b30595d54711c88 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -17.119111871237784, "params": [0.0034000000000000002, 0.43360000000000004, 0.006, 0.031900000000000005, 0.0053, 0.1144, 0.0026000000000000003, 0.5836, 0.0023, 0.5940000000000001, 0.0022, 0.5233, 0.0023, 0.5945, 0.0025, 0.5953, 0.8081, 0.0033, 0.0039000000000000003, 0.0073, -0.00... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0034) q[0];
rz(0.4336) q[0];
rx(0.006) q[1];
rz(0.0319) q[1];
rx(0.0053) q[2];
rz(0.1144) q[2];
rx(0.0026) q[3];
rz(0.5836) q[3];
rx(0.0023) q[4];
rz(0.594) q[4];
rx(0.0022) q[5];
rz(0.5233) q[5];
rx(0.0023) q[6];
rz(0.5945) q[6];
rx(0.0025) q[7];
rz(0.59... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 33.8033812046051} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
cry(1.5486) q[1], q[4];
cry(1.2165) q[4], q[1];
cry(-1.5158) q[6], q[0];
ry(1.0305) q[6];
ry(-0.4218) q[0];
cry(1.3539) q[6], q[5];
cry(0.2656) q[5], q[6];
cry(-0.2013) q[5], q[0];
cry(0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a524fb9bbf4c04d4c6f1ca508b56ffce | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [1023, 1007], "expectation_value": -34.28185950252369, "params": [[[-0.007, 0.0034000000000000002], [0.0015, 0.0032], [-0.004, 0.0031000000000000003], [0.0123, -0.0023], [0.011600000000000001, -0.0022], [0.0239, -0.0021000000000000003], [-0.5642, -0.0028], [0.0179, 0.0032], [-0.0011, 0.0025], [-1.7515, 0.003... | -1.75 * (Z(0) @ Z(6)) + -1.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(8)) + -1.0 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(10)) + -1.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -1.5 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -1.75 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-34.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.75, "smallest_bitstrings": ["10000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.007) q[0];
ry(0.0015) q[1];
ry(-0.004) q[2];
ry(0.0123) q[3];
ry(0.0116) q[4];
ry(0.0239) q[5];
ry(-0.5642) q[6];
ry(0.0179) q[7];
ry(-0.0011) q[8];
ry(-1.7515) q[9];
ry(0.0004) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
3365959570703551875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4], [0, 1, 7], [2, 4, 7], [3, 1, 2, 10], [1, 4, 7], [8, 9, 4, 5], [9, 10], [0, 1, 10], [8, 4, 6, 7]]} | {"states": [958, 954], "expectation_value": -1.9137347364233155, "params": [0.6564, -0.4007, 0.6506000000000001, 0.003, 1.2934, 0.1193, 1.3011000000000001, 0.007200000000000001, 1.2979, -0.1187, 1.2924, 0.0066, 1.2969000000000002, -0.07400000000000001, 1.1041, 0.004, 0.8914000000000001, 0.19340000000000002, 0.885400000... | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.41666666666666663 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)... | 5 | 11 | 1 | {"smallest_eigenvalues": [-2.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6564) q[0];
rz(-0.4007) q[0];
rx(1.2934) q[1];
rz(0.1193) q[1];
rx(1.2979) q[2];
rz(-0.1187) q[2];
rx(1.2969) q[3];
rz(-0.074) q[3];
rx(0.8914) q[4];
rz(0.1934) q[4];
rx(1.2889) q[5];
rz(0.0111) q[5];
rx(1.3019) q[6];
rz(-0.0814) q[6];
rx(1.2929) 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": []} |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [86, 85], "expectation_value": -1.0069131746002355, "params": [0.0067, -0.0224, 0.39790000000000003, 0.40440000000000004, 0.0135, 0.0167, 0.3896, 0.3981, 0.006, 0.003, 0.3935, 0.3921, 0.374, 0.33030000000000004, -0.6064, -0.7352000000000001, 0.0074, 0.0089, 0.39790000000000003, 0.3927, -0.0281, 0.00180000000... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 13 | 8 | 4 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0067) q[0];
ry(0.3979) q[1];
ry(0.0135) q[2];
ry(0.3896) q[3];
ry(0.006) q[4];
ry(0.3935) q[5];
ry(0.374) q[6];
ry(-0.6064) q[7];
crz(-0.9393) q[7], q[0];
crz(-0.6399) q[6], q[7];
crz(0.0334) q[5], q[6];
crz(-0.4371) q[4], q[5];
crz(0.0703) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 2, "number_of_communities": 2} | {"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": -2.8239020171244906, "params": [-0.0017000000000000001, 0.662, -0.0024000000000000002, 0.6226, 0.9034000000000001, 0.0004, 0.8962, -0.0053, 0.8992, -0.039400000000000004, 0.6091, -0.0189, 0.5761000000000001, -0.0419, -0.0017000000000000001, -0.34, -0.0029000000000000002, 0.4583... | 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... | 4 | 7 | 2 | {"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(-0.0017) q[0];
rz(0.662) q[0];
rx(-0.0024) q[1];
rz(0.6226) q[1];
rx(0.9034) q[2];
rz(0.0004) q[2];
rx(0.8962) q[3];
rz(-0.0053) q[3];
rx(0.8992) q[4];
rz(-0.0394) q[4];
rx(0.6091) q[5];
rz(-0.0189) q[5];
rx(0.5761) q[6];
rz(-0.0419) q[6];
crx(-0.8481) 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": []} |
94aec64b8094758f81cf5e43d797f28b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [1022, 1023], "expectation_value": -22.501409239667364, "params": [[[0.0028, -0.0031000000000000003], [0.0019, 0.0026000000000000003], [0.0023, 0.0022], [0.0023, 3.0063], [0.002, 0.0022], [0.0018000000000000002, 0.0019], [0.0033, 0.0023], [0.0026000000000000003, -0.003], [0.0026000000000000003, 0.00310000000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(8) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0028) q[0];
ry(0.0019) q[1];
ry(0.0023) q[2];
ry(0.0023) q[3];
ry(0.002) q[4];
ry(0.0018) q[5];
ry(0.0033) q[6];
ry(0.0026) q[7];
ry(0.0026) q[8];
ry(0.0033) q[9];
ry(0.0023) q[10];
ry(1.5968) q[11];
ry(0.0025) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 2} | {"circuits": [], "gradients": []} |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [106, 43], "expectation_value": -9.239155916146645, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 44, "probabilities": [0.08729663983404472, 0.7841655267931145], "optimization_time": 40.6218638420105} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
cry(-1.5708) q[6], q[0];
ry(1.1303) q[6];
ry(-1.5708) q[2];
ry(-0.5502) q[0];
cry(1.5687) q[6], q[5];
cry(1.5647) q[5], q[1];
cry(0.2397) q[5], q[6];
cry(-0.1186) q[5], q[0];
cry(0.8971)... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
598a895484db1dd124dda8633fc7a99c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [121, 109], "expectation_value": -8.528805015687565, "params": [[-0.0465], [0.0697]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00725984268630492, 0.007457980338517295], "optimization_time": 1.6634438037872314} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.4185) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.4185) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.4185) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.4185) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(x0) q[2];
cx q[0],... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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": 5}, {"source": 2, "target"... | {"states": [16, 1], "expectation_value": -7.251766393906057, "params": [[0.06720000000000001, 0.030000000000000002], [-0.07440000000000001, -0.0523]], "bitstrings": ["01111", "11110"], "total_optimization_steps": 10, "probabilities": [0.05779089218985731, 0.05988144873569312], "optimization_time": 2.295846700668335} | 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)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.3024) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3024) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3024) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3024) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3024) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
eb3145611a4d787d1081ee1c864efa16 | 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": [918, 406], "expectation_value": -83.80916086679979, "params": [0.1829, 0.2046, 0.18030000000000002, 0.2021, 0.5257000000000001, 0.038400000000000004, 0.5335, 0.033, 0.5279, -0.004, 0.5231, -0.0027, -0.0031000000000000003, 0.34450000000000003, -0.0043, 0.3453, 0.12560000000000002, 0.2644, 0.1272, 0.2674, 0.5... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(0)) + 5.5 * (Z(8) @ Z(9)) + 10.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(1) + -4.0 * Z(3) + 4.5 * Z(4) + 8.5 * Z(5... | 7 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["1001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1829) q[0];
rz(0.2046) q[0];
rx(0.5257) q[1];
rz(0.0384) q[1];
rx(0.5279) q[2];
rz(-0.004) q[2];
rx(-0.0031) q[3];
rz(0.3445) q[3];
rx(0.1256) q[4];
rz(0.2644) q[4];
rx(0.5263) q[5];
rz(0.0796) q[5];
rx(0.054) q[6];
rz(0.3052) q[6];
rx(0.5295) 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": []} |
014aa6382d0a3729060055c7790c69a9 | 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": [335, 334], "expectation_value": -79.67601665809164, "params": [0.0025, 0.9762000000000001, 1.4058000000000002, 0.030100000000000002, 0.0018000000000000002, 0.7907000000000001, 1.3937000000000002, 0.41910000000000003, 0.5782, 0.6044, 0.0024000000000000002, 1.0426, 1.3995, -0.022000000000000002, 1.3812, -0.19... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(2) @ Z(8)) + -2.5 * Z(0) + 6.5 * Z(1) + 4.5 * Z(4) + 7.5 * Z(3) + 15.5 * Z(6) + 11.0 * Z(9)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0025) q[0];
rz(0.9762) q[0];
rx(1.4058) q[1];
rz(0.0301) q[1];
rx(0.0018) q[2];
rz(0.7907) q[2];
rx(1.3937) q[3];
rz(0.4191) q[3];
rx(0.5782) q[4];
rz(0.6044) q[4];
rx(0.0024) q[5];
rz(1.0426) q[5];
rx(1.3995) q[6];
rz(-0.022) q[6];
rx(1.3812) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
2ee51013acda191f703ffb893493c226 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1, 3], "expectation_value": -8.617761095600986, "params": [-0.0368, -0.0262, -0.016, 0.0048000000000000004, -0.0034000000000000002, 0.23470000000000002, 0.0009000000000000001, 0.2432, -0.0029000000000000002, 0.2336, -0.0021000000000000003, 0.2421, 0.0008, 0.22890000000000002, -0.0008, 0.22940000000000002, -... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 6 | 10 | 3 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111100", "1111111110", "1110101100", "1110101110", "1111101100", "1111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0368) q[0];
rz(-0.0262) q[0];
rx(-0.0034) q[1];
rz(0.2347) q[1];
rx(-0.0029) q[2];
rz(0.2336) q[2];
rx(0.0008) q[3];
rz(0.2289) q[3];
rx(-0.0022) q[4];
rz(0.223) q[4];
rx(-0.0874) q[5];
rz(0.0928) q[5];
rx(-0.0045) q[6];
rz(0.2366) q[6];
rx(-0.0042) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
2566007007992469752 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 2], [0, 5], [1, 7], [0, 4], [5, 6], [0, 6], [8, 3], [3, 6], [2, 3], [2, 7], [6, 7], [0, 8, 7]]} | {"states": [221, 290], "expectation_value": -0.023347867368926814, "params": [[0.0281], [-0.0334]], "bitstrings": ["100100010", "011011101"], "total_optimization_steps": 20, "probabilities": [0.0020133597685630536, 0.0020157957349411465], "optimization_time": 3.1167824268341064} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["011011101"]} | 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[7], q[5];
rz(0.0281) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(0.0094) q[8];
cx q[7], q[8];
cx q[7], q[2];
rz(0.0281) q[2];
cx q[7], q[2];
cx q[8], q[2];
rz(0.0281) q[2];
cx q[8], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(x1) q[8];
cx q[7], q[8];
cx q[7], q[2];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [11, 15], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1110100", "1110000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 14.477359294891357} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(1.5681) q[5], q[6];
cry(-1.4449) q[6], q[0];
cry(1.4449) q[6], q[3];
cry(-0.1188) q[5], q[0];
ry(0.1188) q[3];
cry(-0.0067) q[3], q[0];
cry(0.0015) q[3], q[6];
c[0] = measure q[0];
c[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [218, 122], "expectation_value": -35.55725359744606, "params": [[-0.0408, -0.0001, 0.008, 0.0089], [0.0729, 0.0666, 0.0654, 0.0611]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02051091596496697, 0.02353676643941231], "optimization_time": 9.992207288742065} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3264) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3264) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3264) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3264) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5f85a0b039a3b9284ffdbae62e0705cd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 7}, {"weight":... | {"states": [444, 412], "expectation_value": -80.37092915291478, "params": [0.3906, 0.1366, 0.3931, 0.14800000000000002, 0.3768, 0.0468, 0.38770000000000004, 0.0507, 0.3891, -0.044500000000000005, 0.3936, -0.0298, -0.257, -0.0095, -0.2889, -0.0022, 0.39680000000000004, -0.0229, 0.39780000000000004, -0.034300000000000004... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 16.5 * Z(1) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1001100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3906) q[0];
rz(0.1366) q[0];
rx(0.3768) q[1];
rz(0.0468) q[1];
rx(0.3891) q[2];
rz(-0.0445) q[2];
rx(-0.257) q[3];
rz(-0.0095) q[3];
rx(0.3968) q[4];
rz(-0.0229) q[4];
rx(0.392) q[5];
rz(-0.0055) q[5];
rx(0.3897) q[6];
rz(-0.033) q[6];
rx(0.3868) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
1371a8d233ceedbf3a9ec9931886713d | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.02561167356792108, "params": [[0.07930000000000001], [-0.08220000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6910232761477026e-05, 1.691023276147703e-05], "optimization_time": 16.1895310878753... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0193181818181323], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0193181818181247, "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];
cx q[1], q[0];
rz(0.0397) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
13897d244e0881b4447dd2a9a298bf14 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [119, 118], "expectation_value": -51.6629767909195, "params": [0.46830000000000005, 0.2793, 0.9933000000000001, -0.005, 0.9976, -0.0005, 0.9995, 0.09770000000000001, 0.3951, 0.2747, 0.9907, -0.0008, 0.9915, -0.0534, 0.49570000000000003, -0.2464, 0.46330000000000005, 0.2666, 0.9946, -0.0125, 0.9955, -0.001, 0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 18 | 8 | 3 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4683) q[0];
rz(0.2793) q[0];
rx(0.9933) q[1];
rz(-0.005) q[1];
rx(0.9976) q[2];
rz(-0.0005) q[2];
rx(0.9995) q[3];
rz(0.0977) q[3];
rx(0.3951) q[4];
rz(0.2747) q[4];
rx(0.9907) q[5];
rz(-0.0008) q[5];
rx(0.9915) q[6];
rz(-0.0534) q[6];
rx(0.4957) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 28.548307418823242} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [0, 103], "expectation_value": -4.405427377827216, "params": [-0.2316, 0.4176, 0.5322, 1.2518, -0.5633, 0.8439000000000001, 0.5473, 1.2517, -0.0016, 0.9853000000000001, -0.0032, 1.0142, -0.0017000000000000001, 1.1092, -0.0011, 1.1132, -0.5305, -0.1593, -0.48510000000000003, -0.09680000000000001, 0.5723, 1.22... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.2316) q[0];
rz(0.4176) q[0];
rx(-0.5633) q[1];
rz(0.8439) q[1];
rx(-0.0016) q[2];
rz(0.9853) q[2];
rx(-0.0017) q[3];
rz(1.1092) q[3];
rx(-0.5305) q[4];
rz(-0.1593) q[4];
rx(0.5723) q[5];
rz(1.22) q[5];
rx(0.5721) q[6];
rz(1.1854) q[6];
crx(1.1526) 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[... | {"node": 3} | {"circuits": [], "gradients": []} |
da62bff661bc86873d0aee1ded709754 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [25, 89], "expectation_value": -4.536652153420556, "params": [[[0.0021000000000000003, 0.6383], [0.4083, 0.0066], [0.0019, 0.507], [0.7799, -0.0018000000000000002], [0.7863, -0.0019], [-0.0004, -0.5375], [-0.0024000000000000002, 0.5297000000000001], [0.7779, 0.0018000000000000002]], [[0.0038, 0.6391], [0.414... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(3) + 0.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101110", "10100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0021) q[0];
rz(0.6383) q[0];
rx(0.4083) q[1];
rz(0.0066) q[1];
rx(0.0019) q[2];
rz(0.507) q[2];
rx(0.7799) q[3];
rz(-0.0018) q[3];
rx(0.7863) q[4];
rz(-0.0019) q[4];
rx(-0.0004) q[5];
rz(-0.5375) q[5];
rx(-0.0024) q[6];
rz(0.5297) q[6];
rx(0.7779) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8103573777467907719 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2], [1, 3, 4], [0, 6, 7], [1, 3, 6], [2, 5]]} | {"states": [471, 215], "expectation_value": -0.9692050878888501, "params": [0.9836, -0.0004, 0.8239000000000001, 0.009600000000000001, 0.9924000000000001, -0.0019, 0.9913000000000001, 0.0063, 0.996, 0.0015, 1.0006000000000002, 0.005, 0.9963000000000001, 0.0044, 1.0031, 0.0088, 1.0058, -0.0028, 0.9814, 0.002400000000000... | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.166666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["100101000", "110001000", "001010100", "011000010", "001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9836) q[0];
rz(-0.0004) q[0];
rx(0.9924) q[1];
rz(-0.0019) q[1];
rx(0.996) q[2];
rz(0.0015) q[2];
rx(0.9963) q[3];
rz(0.0044) q[3];
rx(1.0058) q[4];
rz(-0.0028) q[4];
rx(1.0022) q[5];
rz(0.004) q[5];
rx(0.994) q[6];
rz(-0.0021) q[6];
rx(1.001) 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": []} |
277123102782c73f1874fb7822bb402d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [72, 73], "expectation_value": -4.952338789615161, "params": [[[0.19690000000000002, 0.0985, 0.0099, 0.0012000000000000001], [0.2914, 0.009300000000000001, 0.2797, 0.0076], [-0.0064, -0.19640000000000002, 0.0019, -0.2011], [-0.0041, -0.2001, -0.007, 0.004200000000000001], [0.4083, 0.0028, 0.00090000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["01111001", "10110110", "01110011", "11110010", "11100110", "10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.1969) q[0];
rz(0.0985) q[0];
ry(0.2914) q[1];
rz(0.0093) q[1];
ry(-0.0064) q[2];
rz(-0.1964) q[2];
ry(-0.0041) q[3];
rz(-0.2001) q[3];
ry(0.4083) q[4];
rz(0.0028) q[4];
ry(-0.0384) q[5];
rz(0.1502) q[5];
ry(0.0005) q[6];
rz(0.0742) q[6];
ry(0.4094) 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": []} |
438c76f1f561a3749d812e1ceae369b5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [270, 271], "expectation_value": -57.77060095350638, "params": [[[0.369, -0.0002], [0.15180000000000002, -0.001], [0.3234, 0.0114], [0.0505, 0.0302], [-0.042, 0.5816], [-0.33130000000000004, 1.5923], [0.0005, 1.332], [0.37670000000000003, 1.5695000000000001], [0.7815000000000001, 1.4823000000000002]], [[-0.3... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(2) @ Z(7)) + 7.0 * (Z(8) @ Z(1)) + 13.5 * Z(0) + 2.5 * Z(1) + 0.5 * Z(3) + 9.5 * Z(5) + 1.5 * Z(6) + -4.0 * Z(4) + 2.0 * Z(7) + -5.5 * Z(2) + 1.5 * Z(8) | 15 | 9 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.369) q[0];
ry(0.1518) q[1];
ry(0.3234) q[2];
ry(0.0505) q[3];
ry(-0.042) q[4];
ry(-0.3313) q[5];
ry(0.0005) q[6];
ry(0.3767) q[7];
ry(0.7815) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -1.4481092819146364, "params": [[-0.0685, -0.0655, -0.055200000000000006, -0.0609], [0.0767, 0.07400000000000001, 0.0653, 0.0689]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.03174463417453563, 0.03450486283765994], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 4 | {"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": ["111100", "001111", "101011", "110011", "101110", "011101"]} | 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(-0.0685) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0685) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0685) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0685) q[5];
cx q[0], q[5];
cx q[3], q[5];
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": []} |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [20, 24], "expectation_value": -0.14464847265409048, "params": [[-0.0767], [0.0782]], "bitstrings": ["01011", "00111"], "total_optimization_steps": 10, "probabilities": [0.03392064873529255, 0.03392064873529257], "optimization_time": 0.8302552700042725} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0767) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0767) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0767) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0767) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0767) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} |
04943d12be9331cc9245456617bb8845 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [506, 442], "expectation_value": -29.370360811478076, "params": [-0.006500000000000001, -0.015000000000000001, 0.0007, 0.0029000000000000002, 0.0046, 0.0008, 0.007500000000000001, 0.0012000000000000001, 0.2121, 0.256, 0.4405, 0.43870000000000003, 0.4163, 0.43720000000000003, 0.40230000000000005, 0.3986, 0.22... | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 14 | 13 | 4 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0065) q[0];
ry(0.0007) q[1];
ry(0.0046) q[2];
ry(0.0075) q[3];
ry(0.2121) q[4];
ry(0.4405) q[5];
ry(0.4163) q[6];
ry(0.4023) q[7];
ry(0.2265) q[8];
ry(0.4148) q[9];
ry(0.4078) q[10];
ry(0.4433) q[11];
ry(-0.0254) q[12];
crx(0.2017) q[12], q[0];
crx(0.0... | 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": 5} | {"circuits": [], "gradients": []} |
984069cd50d39f7e5d4b40fb03f5527d | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [50, 116], "expectation_value": -0.16659873698080405, "params": [[0.0728], [-0.07590000000000001]], "bitstrings": ["1001101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008788201743684297, 0.009140362643533155], "optimization_time": 2.8388402462005615} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0728) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(0.0728) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.0728) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0728) q[1];
cx q[6], q[1];
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;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
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