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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [0, 31], "expectation_value": -11.456529401810952, "params": [0.4454, 2.0494, -0.3085, 1.0201, -0.914, 1.4799, 0.2793, 1.0158, -0.9141, 0.8992, -0.151, 1.4931, -0.9003, 0.9693, -0.1136, 1.2059, 0.10540000000000001, 0.020300000000000002, -0.1686, 0.7862, -0.7035, 0.9481, -0.1839, 1.0132, 0.064, 1.5161, -0.495... | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 6 | 6 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4454) q[0];
rz(2.0494) q[0];
rx(-0.914) q[1];
rz(1.4799) q[1];
rx(-0.9141) q[2];
rz(0.8992) q[2];
rx(-0.9003) q[3];
rz(0.9693) q[3];
rx(0.1054) q[4];
rz(0.0203) q[4];
rx(-0.7035) q[5];
rz(0.9481) q[5];
crx(-0.2583) q[5], q[4];
crx(1.0605) q[5], q[3];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
-167842880635178175 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4, 6], [1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 2, 5], [0, 1, 3, 4, 5], [0, 2, 6], [0, 1, 2, 4]]} | {"states": [107, 103], "expectation_value": -1.7755257644998639, "params": null, "bitstrings": ["0010100", "0011000"], "total_optimization_steps": 38, "probabilities": [0.04150358134049673, 0.8918498931770037], "optimization_time": 52.53043031692505} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.18333333333333335 * (Z(1) @ Z(4)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333334, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5344) q[0];
ry(1.1961) q[1];
cry(-0.5597) q[5], q[2];
ry(0.7036) q[5];
cry(-0.6569) q[6], q[2];
ry(0.6907) q[6];
cry(-0.4586) q[1], q[2];
cry(0.584) q[0], q[5];
cry(0.4844) q[5], q[6];
cry(-0.3497) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5344) q[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", "... |
e91a01b38119efcb59e125ef6c2859d5 | 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": [773, 901], "expectation_value": -118.4934091825649, "params": [0.6768000000000001, 0.0017000000000000001, -0.0024000000000000002, 0.0053, 2.8996, 0.0014, 2.9057, 0.0051, 1.6323, 0.0053, 1.4683000000000002, 0.0017000000000000001, -0.0024000000000000002, 0.0059, -0.0026000000000000003, 0.0059, 0.7702, 0.00180... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(0) @ Z(9)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(10) @ Z(11)) + 7.5 * Z(2) + -4.5 * Z(1) + 12.5 * Z(5) + 8.0 * Z(4) + 14.5 * Z(3) + 4.0 * ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-138.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -131.0, "smallest_bitstrings": ["110001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6768) q[0];
rz(0.0017) q[0];
rx(-0.0024) q[1];
rz(0.0053) q[1];
rx(2.8996) q[2];
rz(0.0014) q[2];
rx(2.9057) q[3];
rz(0.0051) q[3];
rx(1.6323) q[4];
rz(0.0053) q[4];
rx(1.4683) q[5];
rz(0.0017) q[5];
rx(-0.0024) q[6];
rz(0.0059) q[6];
rx(-0.0026) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -10.553896131914492, "params": [[[-0.0006000000000000001, -0.1017], [-0.0022, 0.0009000000000000001], [-0.0035, -0.0018000000000000002], [-0.008, 0.0022], [-0.0004, -0.0023], [0.0001, -0.0024000000000000002], [0.0013000000000000002, 0.0341], [1.6787, 0.0132]], [[0.1051, -1.65... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 15 | 8 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0006) q[0];
ry(-0.0022) q[1];
ry(-0.0035) q[2];
ry(-0.008) q[3];
ry(-0.0004) q[4];
ry(0.0001) q[5];
ry(0.0013) q[6];
ry(1.6787) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4c0921da90f8e1162eac6dc7a8c0035a | 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": 3, "source": 0, "target": 9}, {"capacity": 2, "source": 1, "target": 2}, {"capac... | {"states": [1022, 511], "expectation_value": -17.038857978232215, "params": [[[-0.0046, -0.0005], [0.0038, 0.8282], [-0.0024000000000000002, -0.0017000000000000001], [-0.0026000000000000003, 0.0018000000000000002], [-0.0024000000000000002, -0.0027], [-0.0028, 0.0021000000000000003], [-0.0021000000000000003, -0.00260000... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0046) q[0];
ry(0.0038) q[1];
ry(-0.0024) q[2];
ry(-0.0026) q[3];
ry(-0.0024) q[4];
ry(-0.0028) q[5];
ry(-0.0021) q[6];
ry(0.0031) q[7];
ry(-1.0638) q[8];
ry(0.6517) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
cb3c7c022cb9712afc36cb282644505f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -1.0679501176826793, "params": [[0.0579, 0.055900000000000005, 0.0661], [-0.0538, -0.0441, -0.055400000000000005]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 10, "probabilities": [0.008227682378977605, 0.008594268324919049], "optimization_time": 10.9489... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0579) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.0579) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0579) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.1447) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [15, 7], "expectation_value": -2.7535398176785475, "params": [[[-0.0053, -0.4685], [-0.0036000000000000003, 0.4675], [0.7231000000000001, -0.0465], [0.8500000000000001, -0.0019], [0.9124, 0.0011], [0.9063, -0.0011]], [[-0.006500000000000001, 0.0002], [-0.0054, 0.0098], [0.7200000000000001, 0.0048000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0053) q[0];
rz(-0.4685) q[0];
rx(-0.0036) q[1];
rz(0.4675) q[1];
rx(0.7231) q[2];
rz(-0.0465) q[2];
rx(0.85) q[3];
rz(-0.0019) q[3];
rx(0.9124) q[4];
rz(0.0011) q[4];
rx(0.9063) q[5];
rz(-0.0011) q[5];
rx(-0.0065) q[0];
rz(0.0002) q[0];
rx(-0.0054) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ffec7a0ab344b923f33f7859704e9a2a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1788], "expectation_value": -12.564341413642973, "params": [0.33390000000000003, 0.3446, 0.36210000000000003, 0.5983, 0.30720000000000003, 0.5557, 0.2117, 0.5269, -0.0041, 0.5116, -0.0002, 0.5599000000000001, 0.3523, 0.6334000000000001, 0.3148, 0.5021, 0.28350000000000003, 0.228, 0.2225, 0.1345, -0.2489,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5... | 6 | 11 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3339) q[0];
rz(0.3446) q[0];
rx(0.3072) q[1];
rz(0.5557) q[1];
rx(-0.0041) q[2];
rz(0.5116) q[2];
rx(0.3523) q[3];
rz(0.6334) q[3];
rx(0.2835) q[4];
rz(0.228) q[4];
rx(-0.2489) q[5];
rz(1.0132) q[5];
rx(0.3208) q[6];
rz(0.1864) q[6];
rx(0.3405) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 10} | {"circuits": [], "gradients": []} |
-703801527920103777 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 4], [0, 1], [0, 3], [3, 4], [2, 3], [0, 5]]} | {"states": [34, 42], "expectation_value": -1.4255281574437921, "params": null, "bitstrings": ["011101", "010101"], "total_optimization_steps": 32, "probabilities": [0.2538117048015308, 0.26463363785263305], "optimization_time": 27.9727783203125} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -0.5, "smallest_bitstrings": ["001101", "101000", "101010", "100010", "101100", "011101", "011011", "011001", "110010", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[4], q[3];
cry(-1.0342) q[0], q[5];
ry(1.0293) q[0];
ry(-0.6992) q[5];
cry(-0.6534) q[2], q[3];
ry(0.9979) q[4];
cry(-0.405) q[0], q[3];
cry(0.4207) q[4], q[0];
cry(0.3556) q[0], q[4];
cry(-0.2663) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
3991188741565982595 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 6, 7], [0, 4], [1, 6], [2, 6], [2, 5]]} | {"states": [30, 31], "expectation_value": -2.203242092293006, "params": [0.0029000000000000002, 0.003, -0.002, 0.0027, 0.002, 0.0081, 0.503, 0.0039000000000000003, 3.1395, 0.0034000000000000002, 3.1395, 0.0037, 3.1437, 0.0014, 3.1437, 0.0047, 1.5733000000000001, 0.005200000000000001, 0.0068000000000000005, 0.0072000000... | 0.08333333333333333 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.12... | 16 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["000011100", "111100000", "111000010", "111000001", "011010001", "011110000", "011010010", "100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(0.003) q[0];
rx(-0.002) q[1];
rz(0.0027) q[1];
rx(0.002) q[2];
rz(0.0081) q[2];
rx(0.503) q[3];
rz(0.0039) q[3];
rx(3.1395) q[4];
rz(0.0034) q[4];
rx(3.1395) q[5];
rz(0.0037) q[5];
rx(3.1437) q[6];
rz(0.0014) q[6];
rx(3.1437) q[7];
rz(0.004... | OPENQASM 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": []} |
9800d678f4921072509903db27fda1fd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [426, 435], "expectation_value": -2.109438828204445, "params": [[[-0.1928, -0.2489, 0.0005, 0.0074], [-0.07730000000000001, -0.3739, 0.6862, -0.12660000000000002], [0.1247, 0.018500000000000003, -0.0448, -0.006500000000000001], [0.3312, -0.037700000000000004, 0.5214, -0.0896], [0.0539, 0.541, -0.1481, 0.2304... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 11 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100001001", "1100010001", "1100010010", "1100011000", "1100110000", "1000110100", "1001001100", "1101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.1928) q[0];
rz(-0.2489) q[0];
ry(-0.0773) q[1];
rz(-0.3739) q[1];
ry(0.1247) q[2];
rz(0.0185) q[2];
ry(0.3312) q[3];
rz(-0.0377) q[3];
ry(0.0539) q[4];
rz(0.541) q[4];
ry(0.1733) q[5];
rz(-0.3494) q[5];
ry(0.4945) q[6];
rz(0.1285) q[6];
ry(0.4171) 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [2, 3], "expectation_value": -11.50148559846987, "params": [[[0.17830000000000001, -0.2245], [0.14800000000000002, -0.2285], [0.15180000000000002, 0.2306], [0.17800000000000002, 0.22440000000000002], [0.5907, 0.0011], [0.5898, -0.0011]], [[0.1756, -0.2245], [0.1459, -0.2288], [0.15130000000000002, -0.2316], ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1783) q[0];
rz(-0.2245) q[0];
rx(0.148) q[1];
rz(-0.2285) q[1];
rx(0.1518) q[2];
rz(0.2306) q[2];
rx(0.178) q[3];
rz(0.2244) q[3];
rx(0.5907) q[4];
rz(0.0011) q[4];
rx(0.5898) q[5];
rz(-0.0011) q[5];
rx(0.1756) q[0];
rz(-0.2245) q[0];
rx(0.1459) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [34, 38], "expectation_value": -1.986201167370918, "params": [1.6097000000000001, 0.0067, 0.5284, 0.0013000000000000002, 0.0026000000000000003, 0.0036000000000000003, 1.6088, 0.0044, 1.614, 0.001, 0.0021000000000000003, 0.0016, 0.006500000000000001, 0.0025, 0.0047, 0.0024000000000000002, 0.0016], "bitstrings... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 3 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6097) q[0];
rz(0.0067) q[0];
rx(0.5284) q[1];
rz(0.0013) q[1];
rx(0.0026) q[2];
rz(0.0036) q[2];
rx(1.6088) q[3];
rz(0.0044) q[3];
rx(1.614) q[4];
rz(0.001) q[4];
rx(0.0021) q[5];
rz(0.0016) q[5];
crz(0.0016) q[5], q[4];
crz(0.0024) q[4], q[3];
crz(0.0047... | OPENQASM 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": []} |
1052590213244010121 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 3], [0, 1], [1, 4], [1, 2]]} | {"states": [10, 21], "expectation_value": -0.03434113059781674, "params": [[-0.0485], [0.0599]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.032704453814387954, 0.032704453814387954], "optimization_time": 0.4189639091491699} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"]} | 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[4], q[3];
rz(-0.0485) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(-0.0485) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(-0.0485) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(-0.0485) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0485) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -3.4608409239057014, "params": [[0.0585, 0.061500000000000006, 0.0308], [-0.0567, -0.06280000000000001, -0.0383]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.030849551926445007, 0.03193073387964017], "optimization_time": 4.87925982475... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 12 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2048) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2048) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2048) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.234) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2048)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 34], "expectation_value": -3.4116322463037734, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.06012643125725526, 0.7888196926387847], "optimization_time": 14.065133094787598} | 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 | 1 | {"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];
ry(-1.5708) q[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[5];
cry(-1.0342) q[4], q[1];
ry(0.7003) q[0];
ry(0.7003) q[4];
ry(-0.4549) q[5];
ry(-0.4549) q[1];
cry(0.4578) q[4], q[0];
cry(0.4515) q[0], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0897b31d9a82279b7ba3c27721e1c7dd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [81, 67], "expectation_value": -4.999862355032983, "params": null, "bitstrings": ["0101110", "0111100"], "total_optimization_steps": 32, "probabilities": [1.7184705868459562e-05, 0.9999312201793686], "optimization_time": 28.382476806640625} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0111100"]} | 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(-1.4449) q[2];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[0];
ry(1.4384) q[6];
ry(1.4384) q[5];
cry(-0.1259) q[6], q[3];
cry(-0.1259) q[6], q[4];
cry(-0.1259) q[5], q[2];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -0.1673772081972455, "params": [[0.0599, 0.0495, -0.0122, 0.0261], [-0.0597, -0.060700000000000004, -0.0222, -0.0268]], "bitstrings": ["11010", "10110"], "total_optimization_steps": 10, "probabilities": [0.038196784122927874, 0.03819678412292791], "optimization_time": 4.208231210... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "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[2], q[1];
rz(0.0599) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.03) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.03) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.03) q[1];
cx q[4], q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(-0.03... | OPENQASM 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1, 3], "expectation_value": -12.508491074663006, "params": [[[0.08990000000000001, -0.20420000000000002], [0.08310000000000001, -0.2218], [0.0757, 0.22540000000000002], [0.0922, 0.2051], [0.46190000000000003, -0.0011], [0.49250000000000005, 0.0012000000000000001]], [[0.0935, -0.2039], [0.0813, -0.2229000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0899) q[0];
rz(-0.2042) q[0];
rx(0.0831) q[1];
rz(-0.2218) q[1];
rx(0.0757) q[2];
rz(0.2254) q[2];
rx(0.0922) q[3];
rz(0.2051) q[3];
rx(0.4619) q[4];
rz(-0.0011) q[4];
rx(0.4925) q[5];
rz(0.0012) q[5];
rx(0.0935) q[0];
rz(-0.2039) q[0];
rx(0.0813) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8b0c84408b94941ace9bd7196ec38318 | 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": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [122, 186], "expectation_value": -2.397819243074513, "params": [0.19740000000000002, 0.0443, 0.2028, 0.048, 0.2015, 0.049100000000000005, 0.19890000000000002, 0.0538, 0.20020000000000002, -0.0022, 0.20570000000000002, 0.0002, 0.20520000000000002, 0.0023, 0.1966, -0.0013000000000000002, 0.20450000000000002, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(7) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) | 7 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000101", "01000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1974) q[0];
rz(0.0443) q[0];
rx(0.2015) q[1];
rz(0.0491) q[1];
rx(0.2002) q[2];
rz(-0.0022) q[2];
rx(0.2052) q[3];
rz(0.0023) q[3];
rx(0.2045) q[4];
rz(-0.0034) q[4];
rx(0.1137) q[5];
rz(-0.0491) q[5];
rx(0.2062) q[6];
rz(-0.0036) q[6];
rx(-0.006) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
884324ba5e82ca18b66de7a9e58af5dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [290, 306], "expectation_value": -2.4006750651674955, "params": [[[1.6015000000000001, 0.0006000000000000001, 0.009000000000000001, 0.0013000000000000002], [-0.0013000000000000002, -0.1569, 0.0015, 0.0036000000000000003], [0.5281, 0.0009000000000000001, 0.0028, 0.0047], [1.5675000000000001, 0.003100000000000... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(7) @ Z(6)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(7... | 12 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.375, "smallest_bitstrings": ["011011001", "011000111", "011010011", "100111001", "011001101", "100101101", "010101101", "100110011", "010111001", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.6015) q[0];
rz(0.0006) q[0];
ry(-0.0013) q[1];
rz(-0.1569) q[1];
ry(0.5281) q[2];
rz(0.0009) q[2];
ry(1.5675) q[3];
rz(0.0031) q[3];
ry(1.5991) q[4];
rz(0.0042) q[4];
ry(0.0027) q[5];
rz(0.6976) q[5];
ry(0.2676) q[6];
rz(0.0008) q[6];
ry(0.4482) 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": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [0, 29], "expectation_value": -7.033085407743446, "params": [[[-0.0368, -0.2044, 0.0057, 0.009300000000000001], [-0.0017000000000000001, -0.0733, 0.0112, 0.7651], [-0.0034000000000000002, 1.1796, -0.0029000000000000002, -0.1341], [0.1635, -0.22440000000000002, 0.0009000000000000001, -0.3309], [0.002600000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 11 | 6 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0368) q[0];
rz(-0.2044) q[0];
ry(-0.0017) q[1];
rz(-0.0733) q[1];
ry(-0.0034) q[2];
rz(1.1796) q[2];
ry(0.1635) q[3];
rz(-0.2244) q[3];
ry(0.0026) q[4];
rz(0.8137) q[4];
ry(0.0022) q[5];
rz(0.4599) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
cff27a3576fe0b6b8465ef6c1f1fffb6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1500, 1501], "expectation_value": -2.2409218728302154, "params": [0.1797, 0.1807, 0.18380000000000002, 0.1814, 0.4878, 0.0478, 0.4918, 0.022600000000000002, 0.08270000000000001, 0.19390000000000002, 0.0782, 0.1975, 0.4918, 0.0246, 0.49920000000000003, 0.0165, 0.4899, 0.0009000000000000001, 0.4867, 0.0044, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 7 | 12 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues"... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1797) q[0];
rz(0.1807) q[0];
rx(0.4878) q[1];
rz(0.0478) q[1];
rx(0.0827) q[2];
rz(0.1939) q[2];
rx(0.4918) q[3];
rz(0.0246) q[3];
rx(0.4899) q[4];
rz(0.0009) q[4];
rx(0.376) q[5];
rz(0.0008) q[5];
rx(0.0501) q[6];
rz(0.2451) q[6];
rx(0.4978) 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... | null | {"circuits": [], "gradients": []} |
f66a982a183ade09db0d8bd37adec82b | 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": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 9}, {"weight": 2, "source": 2, "target": 3}, {"weight": ... | {"states": [337, 345], "expectation_value": -70.15115073736503, "params": [[[-0.0028, 1.5163], [1.5698, -0.003], [-0.0024000000000000002, 1.4939], [1.5721, -0.0022], [-0.0028, 1.4988000000000001], [1.5757, -0.0022], [-0.7971, -0.0061], [0.0023, 1.0453000000000001], [-0.0028, -1.1116000000000001], [1.5705, 0.002]], [[-0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + -3.0 * Z(1) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["1010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0028) q[0];
rz(1.5163) q[0];
rx(1.5698) q[1];
rz(-0.003) q[1];
rx(-0.0024) q[2];
rz(1.4939) q[2];
rx(1.5721) q[3];
rz(-0.0022) q[3];
rx(-0.0028) q[4];
rz(1.4988) q[4];
rx(1.5757) q[5];
rz(-0.0022) q[5];
rx(-0.7971) q[6];
rz(-0.0061) q[6];
rx(0.0023) 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\": 10}"} | {"circuits": [], "gradients": []} |
-6872618285117660885 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [8, 6], [1, 2], [2, 3], [5, 7], [0, 6], [0, 7], [1, 4], [0, 1], [1, 6]]} | {"states": [70, 198], "expectation_value": -0.3810246549869962, "params": [0.6893, 0.0713, 0.6724, 0.0035, 0.7010000000000001, -0.020900000000000002, 0.7021000000000001, 0.0089, 0.6992, -0.0217, 0.6961, 0.0046, 0.7004, 0.046400000000000004, 0.6714, 0.0073, 0.6978000000000001, 0.0068000000000000005, 0.6993, 0.0018000000... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001001", "011000011", "001000110", "110111001", "100111001", "100111100", "110101001", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6893) q[0];
rz(0.0713) q[0];
rx(0.701) q[1];
rz(-0.0209) q[1];
rx(0.6992) q[2];
rz(-0.0217) q[2];
rx(0.7004) q[3];
rz(0.0464) q[3];
rx(0.6978) q[4];
rz(0.0068) q[4];
rx(0.7085) q[5];
rz(0.0327) q[5];
rx(0.7039) q[6];
rz(-0.0306) q[6];
rx(0.7098) 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": []} |
501477738601b9a56009fb34d8274268 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [27, 31], "expectation_value": -4.891461038695923, "params": null, "bitstrings": ["100100", "100000"], "total_optimization_steps": 35, "probabilities": [0.3657088066685248, 0.36574086973498815], "optimization_time": 23.754973888397217} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[1];
cry(1.5708) q[1], q[2];
cry(1.4449) q[5], q[4];
cry(1.0462) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2312) q[4], q[0];
ry(0.2588) q[0];
ry(0.0977) q[5];
ry(0.1418) q[4];
cry(0.0503) q[1], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
ee1205bd74dfee0fb5e9d23196a23f92 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1015], "expectation_value": -2.6709749699890843, "params": [[0.0799], [-0.0845]], "bitstrings": ["0000000000", "0000001000"], "total_optimization_steps": 10, "probabilities": [0.0020665507471992906, 0.0021227316709640696], "optimization_time": 0.8030893802642822} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.4794) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1598) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3196) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.4794) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 7} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.473733379112567, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 15, "probabilities": [0.07350741985248108, 0.9006631074695891], "optimization_time": 10.184012174606323} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "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];
ry(-1.5486) q[0];
ry(-1.5486) q[3];
ry(1.4448) q[4];
cry(-1.0344) q[1], q[2];
ry(0.7001) q[1];
ry(-0.4548) q[2];
cry(0.4963) q[4], q[1];
cry(-0.3788) q[4], q[2];
cry(0.1073) q[1], q[4];
cry(-0.0222) q[4], q[0];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
27c408f36f3749a0af3ff77dddb9a6ea | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [67, 28], "expectation_value": -0.21810406491157436, "params": [[-0.0666], [0.0718]], "bitstrings": ["0111100", "1100011"], "total_optimization_steps": 10, "probabilities": [0.008973234854813763, 0.008973234854813765], "optimization_time": 1.5288748741149902} | 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(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100011", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0666) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0666) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0666) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0666) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
c5cca6e2fc9363804e6a93c5d6983658 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 171], "expectation_value": -62.66600677959247, "params": [0.9972000000000001, 0.2437, 0.1617, 0.5428000000000001, 0.9993000000000001, 0.13240000000000002, -0.002, 0.6088, 0.9931000000000001, 0.1834, 0.5531, 0.4043, 0.9877, 0.3305, 0.9870000000000001, -0.0045000000000000005, 0.9937, 0.29600000000000004,... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 12.5 * Z(2) + 1.0 * Z(1) + 11.5 * Z(0) + -3.5 * Z(3) + 20.0 * Z(4) + 15.5 * Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["01010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9972) q[0];
rz(0.2437) q[0];
rx(0.1617) q[1];
rz(0.5428) q[1];
rx(0.9993) q[2];
rz(0.1324) q[2];
rx(-0.002) q[3];
rz(0.6088) q[3];
rx(0.9931) q[4];
rz(0.1834) q[4];
rx(0.5531) q[5];
rz(0.4043) q[5];
rx(0.9877) q[6];
rz(0.3305) q[6];
rx(0.987) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
53fd70b7ce4659cd92d050c8100f2208 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -0.17736151844448417, "params": [[0.0666], [-0.061900000000000004]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022498954789202637, 0.0022826092219125835], "optimization_time": 2.3850722312927246} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000000", "110001000", "110011010", "110001010"]} | 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(-0.0333) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0666) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0666) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0666) q[5];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
3203e6b5b42395ee244d3c25a0a78bc8 | 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": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.23433059237509793, "params": [[-0.2685], [0.2666]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.73796531778864e-05, 3.737965317788642e-05], "optimization_time": 14.539669036865234} | 0.25 * (Z(0) @ Z(1)) + -0.0005208333333333333 * (Z(2) @ Z(0)) + -0.0005208333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00078125 * (Z(6) @ Z(0))... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023958333333308], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023958333333261, "smallest_bitstrings": ["0101010110101010"]} | 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(-0.1343) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0003) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0003) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26487, 26483], "expectation_value": -6.822506659114362, "params": [[[1.5587, 0.0012000000000000001], [1.5243, -0.0026000000000000003], [0.6936, 0.4874], [0.5596, -0.5748], [1.5201, 0.0036000000000000003], [1.5851000000000002, 0.0007], [1.5367000000000002, 0.0018000000000000002], [0.7077, -0.4644000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * ... | 1 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999968], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999943, "smallest_bitstrings": ["001100010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.5587) q[0];
rz(0.0012) q[0];
rx(1.5243) q[1];
rz(-0.0026) q[1];
rx(0.6936) q[2];
rz(0.4874) q[2];
rx(0.5596) q[3];
rz(-0.5748) q[3];
rx(1.5201) q[4];
rz(0.0036) q[4];
rx(1.5851) q[5];
rz(0.0007) q[5];
rx(1.5367) q[6];
rz(0.0018) q[6];
rx(0.7077) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [256, 1], "expectation_value": -14.833682395599547, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 28, "probabilities": [0.15232491526839836, 0.8167377775335217], "optimization_time": 37.397825479507446} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
cry(-1.5708) q[8], q[0];
ry(1.1112) q[8];
ry(-0.5795) q[0];
ry(-1.5486) q[2];
ry(-1.3681) q[4];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
a1d9899df34936ad9ddd849ff23271ff | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [464, 448], "expectation_value": -16.753411989612307, "params": null, "bitstrings": ["000101111", "000111111"], "total_optimization_steps": 100, "probabilities": [0.20497905116317053, 0.26939394227737173], "optimization_time": 232.1522626876831} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(3)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5709) q[7];
ry(-0.2329) q[4];
cry(-1.3345) q[8], q[4];
ry(-1.5276) q[6];
ry(-0.0576) q[5];
cry(-1.2092) q[8], q[5];
ry(-1.5348) q[3];
ry(-1.133) q[8];
cry(-0.5194) q[2], q[4];
cry(-0... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
38e885136b61a9f1ca579183e1abfbc6 | 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": [2854, 2598], "expectation_value": -84.09091294795778, "params": [1.1937, 0.007500000000000001, 0.4228, 0.47750000000000004, 1.2046000000000001, 0.2204, 0.7439, 0.42160000000000003, 0.0027, 0.8724000000000001, 0.6598, 0.43570000000000003, 1.1997, 0.2861, 0.7191000000000001, 0.2228, 0.0026000000000000003, 0.7... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 16.0 * Z(0) + 0.5 * Z(1) + 13.5 * Z(2) + 5.0 * Z(3) + 10.0 * Z(6) + 4.0 * Z... | 16 | 12 | 2 | {"smallest_eigenvalues": [-136.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -114.0, "smallest_bitstrings": ["010111011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.1937) q[0];
rz(0.0075) q[0];
rx(0.4228) q[1];
rz(0.4775) q[1];
rx(1.2046) q[2];
rz(0.2204) q[2];
rx(0.7439) q[3];
rz(0.4216) q[3];
rx(0.0027) q[4];
rz(0.8724) q[4];
rx(0.6598) q[5];
rz(0.4357) q[5];
rx(1.1997) q[6];
rz(0.2861) q[6];
rx(0.7191) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
b47fdd7a1ac759d5f2fd5e5836290d98 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [335, 334], "expectation_value": -86.79118319050622, "params": [0.5401, 0.5471, 0.1613, 0.1678, 0.5401, 0.5373, 0.0054, -0.0028, 0.0119, 0.0077, 0.5317000000000001, 0.525, 0.462, 0.4717, 0.4773, 0.39990000000000003, 0.1695, 0.1713, 0.5345, 0.5221, 0.16440000000000002, 0.15990000000000001, 0.5438000000000001,... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(4) @ Z(7)) + 11.0 * Z(1) + 12.5 * Z(2) + 16.0 *... | 14 | 9 | 3 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5401) q[0];
ry(0.1613) q[1];
ry(0.5401) q[2];
ry(0.0054) q[3];
ry(0.0119) q[4];
ry(0.5317) q[5];
ry(0.462) q[6];
ry(0.4773) q[7];
ry(0.1695) q[8];
crx(0.0118) q[8], q[0];
crx(-0.3534) q[7], q[8];
crx(0.0149) q[6], q[7];
crx(0.1004) q[5], q[6];
crx(0.5479)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
45dad34824e595317431e0fe268b75a1 | 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": 1, "target": 2}, {"s... | {"states": [8191, 2047], "expectation_value": -27.081206649807246, "params": [[[0.0023, 0.0035], [1.6122, 0.009600000000000001], [0.0023, 0.006900000000000001], [0.0024000000000000002, 0.0051], [0.0023, 0.0034000000000000002], [-0.0016, 0.0023], [0.0026000000000000003, 0.0044], [0.0022, 0.007200000000000001], [-0.00180... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(... | 2 | 13 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["1100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0023) q[0];
rz(0.0035) q[0];
rx(1.6122) q[1];
rz(0.0096) q[1];
rx(0.0023) q[2];
rz(0.0069) q[2];
rx(0.0024) q[3];
rz(0.0051) q[3];
rx(0.0023) q[4];
rz(0.0034) q[4];
rx(-0.0016) q[5];
rz(0.0023) q[5];
rx(0.0026) q[6];
rz(0.0044) q[6];
rx(0.0022) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
63502e11a201c8f253d63daf92a64090 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [383, 63], "expectation_value": -7.736284653653385, "params": [[-0.14730000000000001], [0.1636]], "bitstrings": ["11010000000", "11111000000"], "total_optimization_steps": 20, "probabilities": [0.004014070757710843, 0.004196277094044089], "optimization_time": 4.6440019607543945} | 0.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(5)) + -2.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["11111000000"]} | 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(-0.1473) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2946) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1473) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.5892)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 1} | {"circuits": [], "gradients": []} |
fa93b2dabe9fb7de7eb6d59e4bf6bfd4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 10}, {"capacity": 1, "source": 0, "target": 11}, {"capacity": 5, "source"... | {"states": [2048, 2047], "expectation_value": -29.31920953828989, "params": [[[-0.0007, -0.1269], [0.0018000000000000002, -0.0031000000000000003], [0.0005, -0.0029000000000000002], [0.0014, -0.003], [0.0024000000000000002, -0.0029000000000000002], [0.0024000000000000002, -0.0028], [0.0021000000000000003, -0.0028], [0.0... | -0.25 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -2.75 * (Z(6) @ Z(1)) + -1.0 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -2.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(10)) + -1.75 * (Z(5) @ Z(4)) + -1.0 * (Z(8)... | 15 | 12 | 2 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0007) q[0];
ry(0.0018) q[1];
ry(0.0005) q[2];
ry(0.0014) q[3];
ry(0.0024) q[4];
ry(0.0024) q[5];
ry(0.0021) q[6];
ry(0.0015) q[7];
ry(-0.0038) q[8];
ry(-0.013) q[9];
ry(0.0037) q[10];
ry(-1.7583) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [49, 51], "expectation_value": -4.411056008133856, "params": [-0.0054, 0.17420000000000002, -0.0103, 0.1724, 0.307, 0.048400000000000006, 0.3063, 0.0155, 0.2908, 0.0128, 0.2886, 0.018600000000000002, 0.0426, -0.1492, 0.0359, -0.14070000000000002, 0.0027, 0.1814, -0.0012000000000000001, 0.18050000000000002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0054) q[0];
rz(0.1742) q[0];
rx(0.307) q[1];
rz(0.0484) q[1];
rx(0.2908) q[2];
rz(0.0128) q[2];
rx(0.0426) q[3];
rz(-0.1492) q[3];
rx(0.0027) q[4];
rz(0.1814) q[4];
rx(0.2918) q[5];
rz(0.016) q[5];
rx(0.308) q[6];
rz(0.0297) q[6];
crz(0.0209) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
201840321855623910 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [1, 7], [0, 4, 7], [3, 7], [0, 2], [0, 6, 7], [0, 5, 6]]} | {"states": [218, 47], "expectation_value": -1.200048930364935, "params": [[-0.4384], [0.42150000000000004]], "bitstrings": ["00100101", "11010000"], "total_optimization_steps": 50, "probabilities": [0.022600462666681607, 0.022779935818807055], "optimization_time": 2.305771589279175} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9999999999999996, "smallest_bitstrings": ["11010000"]} | 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[2];
rz(-0.4384) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(-0.4384) q[7];
cx q[3], q[7];
cx q[7], q[1];
rz(-0.4384) q[1];
cx q[7], q[1];
cx q[2], q[0];
rz(-0.4384) q[0];
cx q[2], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[7], q... | null | {"circuits": [], "gradients": []} |
486cc20bea42c1ab6a6365c5d3b03f44 | 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": [340, 372], "expectation_value": -105.81529842359427, "params": [[[1.5813000000000001, -0.0045000000000000005], [1.4773, -0.0176], [-0.0056, 0.0061], [1.5276, 1.3809], [0.3956, 1.3643], [1.5386, 1.3578000000000001], [-0.0016, 1.3851], [1.0733000000000001, 0.5594], [0.28190000000000004, 1.0171000000000001], [... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(7)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(7)) + 23.0 * Z(3) + 3.0 * Z(2) + 16.0 * ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5813) q[0];
ry(1.4773) q[1];
ry(-0.0056) q[2];
ry(1.5276) q[3];
ry(0.3956) q[4];
ry(1.5386) q[5];
ry(-0.0016) q[6];
ry(1.0733) q[7];
ry(0.2819) q[8];
ry(-0.3275) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
2553861740513251655 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 4, 5, 6], [0, 1, 2, 3, 5, 6], [0, 1, 2, 3, 4, 5]]} | {"states": [109, 47], "expectation_value": -0.010982658700554936, "params": [[-0.0475], [0.059300000000000005]], "bitstrings": ["0010010", "1010000"], "total_optimization_steps": 10, "probabilities": [0.007894886668027287, 0.00789488666802729], "optimization_time": 0.776390790939331} | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.8, -0.8, -0.8], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.7666666666666667, "smallest_bitstrings": ["1010000", "0010010", "1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0127) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0095) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0095) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0095) q[4];
cx q[2], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
e6eaddd0655a3c19d097fc05e021d9a7 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [2031, 2047], "expectation_value": -16.868584034325448, "params": null, "bitstrings": ["00000010000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.03980867761987537, 0.1970373345771063], "optimization_time": 327.8888189792633} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(8)) + -3.5 * (Z(10) @ Z(4)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[3], q[4];
cry(1.4058) q[4], q[7];
cry(0.0788) q[4], q[8];
cry(0.119) q[7], q[8];
ry(-0.3211) q[3];
cry(0.0428) q[4], q[3];
cry(0.0314) q[7], q[3];
cry(0.52... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
d45a5bc179495544dab1e6a4ef51a643 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [6, 68], "expectation_value": -5.472903235056413, "params": null, "bitstrings": ["1111001", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07435629520385204, 0.89903260700947], "optimization_time": 15.562230348587036} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110111", "1111100", "1011101", "1101110", "1111001", "0101111", "0111011"]} | 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(-1.5708) q[3];
ry(-1.4449) q[6];
ry(-1.4449) q[2];
ry(1.4384) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4962) q[4], q[0];
cry(-0.3778) q[4], q[5];
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", ... |
ab957251534d09507f870c3a6ef42154 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [40, 23], "expectation_value": -0.2580221961900197, "params": [[-0.0366, 0.049100000000000005, 0.0693, 0.0494], [0.07490000000000001, 0.0021000000000000003, -0.0492, -0.0424]], "bitstrings": ["010111", "101000"], "total_optimization_steps": 10, "probabilities": [0.019591446445051126, 0.021166516789236183], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0366) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0366) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0366) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.0366) q[2];
cx q[1], q[2];
cx q[4], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
574f37e8ebeb372ca7f28db174f5ec6a | 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": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 20, "source": 1, "tar... | {"states": [374, 230], "expectation_value": -10.09429729162504, "params": [[0.05], [-0.07060000000000001]], "bitstrings": ["010001001", "100011001"], "total_optimization_steps": 10, "probabilities": [0.004217889992676347, 0.004692642315386773], "optimization_time": 1.7601990699768066} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 8.5 * Z(0) + 17.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["100011001"]} | 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(0.45) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.45) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.45) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.45) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [250, 122], "expectation_value": -58.541536742692365, "params": [0.7709, -0.5068, 1.5651000000000002, 0.00030000000000000003, 1.5689000000000002, -0.0029000000000000002, 1.5683, -0.0044, 1.7818, 0.33490000000000003, 0.325, 0.7282000000000001, 1.7618, 0.29050000000000004, 0.6852, 0.6281, 0.7753, 0.00520000000... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7709) q[0];
rz(-0.5068) q[0];
rx(1.5651) q[1];
rz(0.0003) q[1];
rx(1.5689) q[2];
rz(-0.0029) q[2];
rx(1.5683) q[3];
rz(-0.0044) q[3];
rx(1.7818) q[4];
rz(0.3349) q[4];
rx(0.325) q[5];
rz(0.7282) q[5];
rx(1.7618) q[6];
rz(0.2905) q[6];
rx(0.6852) 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [3, 19], "expectation_value": -0.6217075677944194, "params": [[0.0545, 0.0512, 0.0502, 0.0308], [-0.0463, -0.0454, -0.0449, -0.0345]], "bitstrings": ["11100", "01100"], "total_optimization_steps": 10, "probabilities": [0.04047088348301889, 0.047829925961153166], "optimization_time": 3.9562995433807373} | 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(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"]} | 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(0.0545) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0545) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0545) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0545) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0545) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
cc934fd375b609eaec4d51e90aa88a3f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [33, 96], "expectation_value": -3.7816003578421666, "params": [[0.23], [-0.23600000000000002]], "bitstrings": ["1011110", "0011111"], "total_optimization_steps": 30, "probabilities": [0.027626522743503207, 0.027626522743503232], "optimization_time": 2.2213234901428223} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["0011111", "1101011", "1011110", "1110101", "1100111"]} | 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(0.23) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.23) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.23) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.23) q[4];
cx q[3], q[4];
cx q[2], q[5];
rz(0.23) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [125, 121], "expectation_value": -10.827915423653913, "params": [[0.0281, -0.0066, -0.043500000000000004], [-0.0434, -0.0263, 0.0167]], "bitstrings": ["10000010", "10000110"], "total_optimization_steps": 10, "probabilities": [0.006473251751132539, 0.007047945761599335], "optimization_time": 5.83165168762207} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2248) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2248) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2248) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2248) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 25.189091205596924} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[5];
cry(1.5486) q[5], q[1];
ry(1.5681) q[6];
ry(-1.5706) q[0];
ry(-1.5486) q[3];
cry(-1.5681) q[5], q[4];
cry(-0.0222) q[6], q[3];
ry(0.0222) q[1];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[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", "... |
bce5ca5986693901af184e18507446b4 | 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": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.544086894280143, "params": [0.0036000000000000003, 0.4486, 0.0028, 0.543, 0.0028, 0.607, 0.0024000000000000002, 0.605, 0.0027, 0.6022000000000001, 0.0025, 0.5376000000000001, 0.6124, -0.0001, 0.8069000000000001, -0.0035, 0.0034000000000000002, 0.0086, 0.0028, 0.003, 0.0028, 0... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 3 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0036) q[0];
rz(0.4486) q[0];
rx(0.0028) q[1];
rz(0.543) q[1];
rx(0.0028) q[2];
rz(0.607) q[2];
rx(0.0024) q[3];
rz(0.605) q[3];
rx(0.0027) q[4];
rz(0.6022) q[4];
rx(0.0025) q[5];
rz(0.5376) q[5];
rx(0.6124) q[6];
rz(-0.0001) q[6];
rx(0.8069) 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": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [413, 245], "expectation_value": -0.35000654336493847, "params": [[-0.048100000000000004, -0.017400000000000002], [0.0609, 0.0323]], "bitstrings": ["001100010", "100001010"], "total_optimization_steps": 10, "probabilities": [0.00232916327993523, 0.002329163279935231], "optimization_time": 7.207292795181274} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0481) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0481) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0481) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0481) q[3];
cx q[0], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
8104382a3fee69a4734398f4b3837d9d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "... | {"states": [4095, 4087], "expectation_value": -31.514853060973017, "params": [[[-0.002, 3.1441000000000003], [0.0019, -0.0019], [-0.0032, -0.0027], [-0.0021000000000000003, -0.0025], [-0.002, 0.0019], [-0.0032, -0.0025], [-0.0027, -0.0029000000000000002], [-0.0028, -0.0031000000000000003], [1.6016000000000001, 0.0022],... | -2.0 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + -3.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + 1.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.0, -32.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["000000001000", "000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.002) q[0];
ry(0.0019) q[1];
ry(-0.0032) q[2];
ry(-0.0021) q[3];
ry(-0.002) q[4];
ry(-0.0032) q[5];
ry(-0.0027) q[6];
ry(-0.0028) q[7];
ry(1.6016) q[8];
ry(-0.0028) q[9];
ry(-0.0029) q[10];
ry(-0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [427, 238], "expectation_value": -1.573516702696399, "params": [[-0.0375, -0.0413, -0.045700000000000005, -0.0437], [0.0505, 0.044500000000000005, 0.0519, 0.0519]], "bitstrings": ["001010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.004062017769343894, 0.004062017769343902], "optimi... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[2];
rz(-0.0375) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(-0.0375) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0375) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0375) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
99ca3b0801e4a76b2f575f8916c36cce | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [255, 4095], "expectation_value": -0.2614870701513159, "params": [[-0.0303], [0.0228]], "bitstrings": ["111100000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00027054295023913345, 0.00027192673014962194], "optimization_time": 3.1150426864624023} | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.1515) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1212) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1212) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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... | {"node": 4} | {"circuits": [], "gradients": []} |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [31, 11], "expectation_value": -1.6080332039033696, "params": [[0.1463, 0.1563], [-0.1399, -0.1449]], "bitstrings": ["100000", "110100"], "total_optimization_steps": 20, "probabilities": [0.044590282273861276, 0.04887166900868924], "optimization_time": 4.064510345458984} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1463) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1463) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0732) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0732) q[2];
cx q[1], q[2];
cx q[3], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [98, 63], "expectation_value": -5.249823514138566, "params": [[0.0024000000000000002, -0.0027, 0.0024000000000000002, 0.5921000000000001, -0.0035, -0.0027, 0.0022], [0.0028, 0.0024000000000000002, -0.0025, -1.196, 0.0028, -0.0035, 1.5742], [0.002, 0.5748, -0.7897000000000001, 1.5686, -0.8201, 1.1245, 1.1832]... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 9 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0024) q[0];
rx(-0.0027) q[1];
rx(0.0024) q[2];
rx(0.5921) q[3];
rx(-0.0035) q[4];
rx(-0.0027) q[5];
rx(0.0022... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-6720237912220311308 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5, 6, 7], [8, 7], [1, 3, 4, 6, 7, 9], [0, 6, 7, 9, 10], [10, 4, 5], [8, 10, 3, 4], [0, 2, 3, 4, 6], [8, 3, 5, 6], [1, 4, 8, 10, 11], [8, 0], [11, 1, 3, 7], [1, 2, 3, 5, 9], [8, 2], [0, 1, 2, 4, 7, 9], [0, 2, 10, 7], [3, 5, 8, 9, 10, 11], [8, 9, 11, 4]... | {"states": [2903, 2935], "expectation_value": -6.2679708818808795, "params": [1.5682, 0.0025, 1.5681, 0.0032, 0.0056, 1.2915, 0.0018000000000000002, 1.6807, 1.5705, 0.0022, 1.5667, 0.0097, 1.9031, -0.0024000000000000002, 1.2333, -0.2893, -0.0373, -0.0031000000000000003, 0.342, 0.001, 3.0601000000000003, 0.0044, 0.08560... | 0.3 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.11666666666666667 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + 0.39999999999999997 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(7) @ Z(6)) + 0.11666666666666667 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.300000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.233333333333334, "smallest_bitstrings": ["010010001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5682) q[0];
rz(0.0025) q[0];
rx(0.0056) q[1];
rz(1.2915) q[1];
rx(1.5705) q[2];
rz(0.0022) q[2];
rx(1.9031) q[3];
rz(-0.0024) q[3];
rx(-0.0373) q[4];
rz(-0.0031) q[4];
rx(3.0601) q[5];
rz(0.0044) q[5];
rx(0.9092) q[6];
rz(0.9156) q[6];
rx(1.7115) 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": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [200, 232], "expectation_value": -1.1606277734556216, "params": [0.497, 0.0024000000000000002, 0.4954, 0.0001, 0.4894, 0.0006000000000000001, -0.0034000000000000002, 0.3669, 0.5068, 0.015600000000000001, 0.2745, 0.13140000000000002, 0.2686, 0.1232, 0.267, 0.12430000000000001, 0.49050000000000005, 0.0095, 0.4... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 18 | 8 | 4 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.497) q[0];
rz(0.0024) q[0];
rx(0.4954) q[1];
rz(0.0001) q[1];
rx(0.4894) q[2];
rz(0.0006) q[2];
rx(-0.0034) q[3];
rz(0.3669) q[3];
rx(0.5068) q[4];
rz(0.0156) q[4];
rx(0.2745) q[5];
rz(0.1314) q[5];
rx(0.2686) q[6];
rz(0.1232) q[6];
rx(0.267) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
847083b10922884c06975a23450a6e62 | 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": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [509, 508], "expectation_value": -17.969558671804112, "params": [[[-0.0028, 2.7012], [-0.0034000000000000002, -0.0028], [-0.0028, -0.0031000000000000003], [-0.0028, -0.003], [-0.0031000000000000003, -0.0031000000000000003], [-0.002, -0.0027], [-0.0021000000000000003, 0.002], [1.6372, 1.6371], [-0.00240000000... | -3.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0028) q[0];
ry(-0.0034) q[1];
ry(-0.0028) q[2];
ry(-0.0028) q[3];
ry(-0.0031) q[4];
ry(-0.002) q[5];
ry(-0.0021) q[6];
ry(1.6372) q[7];
ry(-0.0024) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"node": 7} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [2, 1], "expectation_value": -9.363444202838483, "params": null, "bitstrings": ["1101", "1110"], "total_optimization_steps": 18, "probabilities": [0.174792396062558, 0.6619641889393559], "optimization_time": 7.9058427810668945} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 10 | 4 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5729) q[0];
ry(-1.5508) q[1];
cry(-0.9979) q[3], q[0];
cry(-1.5708) q[3], q[2];
ry(0.5867) q[3];
ry(-0.3578) q[2];
cry(-0.8698) q[2], q[0];
cry(-0.3548) q[0], q[3];
cry(-0.1705) q[0], q[2];
cry(-0.02) q[3], q[1];
cry(-0.02... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [629, 637], "expectation_value": -0.8007816337336128, "params": [0.9927, 0.6132000000000001, 0.5884, 0.5232, 0.5459, 0.2599, 1.0052, 0.0325, 1.0057, -0.00030000000000000003, 0.9996, -0.0007, 0.8403, -0.059800000000000006, 1.0046, -0.1723, 0.5951000000000001, -0.2336, 0.9997, -0.041800000000000004, 0.89640000... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9927) q[0];
rz(0.6132) q[0];
rx(0.5884) q[1];
rz(0.5232) q[1];
rx(0.5459) q[2];
rz(0.2599) q[2];
rx(1.0052) q[3];
rz(0.0325) q[3];
rx(1.0057) q[4];
rz(-0.0003) q[4];
rx(0.9996) q[5];
rz(-0.0007) q[5];
rx(0.8403) q[6];
rz(-0.0598) q[6];
rx(1.0046) 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": []} |
a6dd2f9f8614a73a5e62284b2a0737f1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [356, 358], "expectation_value": -31.87064793834973, "params": [[[0.48260000000000003, 0.2676], [0.2706, 0.2207], [0.3206, 0.4944], [0.393, 0.3524], [0.2864, 0.3413], [0.3428, 0.1446], [0.0821, 0.506], [0.48950000000000005, 0.4944], [0.3962, 0.1154]], [[0.49420000000000003, 0.20600000000000002], [0.2446, 0.2... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 14.5 * Z(0) + 8.5 * Z(1) + 14.0 * Z(2) + 9.0 * Z(3) + 1.0 * Z(4) + -3.0 * Z(5) + 2.5 * Z(6) + 9.5 * Z(7) + -2.5 * Z(8) | 15 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4826) q[0];
ry(0.2706) q[1];
ry(0.3206) q[2];
ry(0.393) q[3];
ry(0.2864) q[4];
ry(0.3428) q[5];
ry(0.0821) q[6];
ry(0.4895) q[7];
ry(0.3962) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
4e1e131ba2ff0afb42d5840cf309482d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 9], "expectation_value": -3.2566299576450213, "params": [[-0.06420000000000001, -0.048], [0.0731, 0.06470000000000001]], "bitstrings": ["10000000", "11110110"], "total_optimization_steps": 10, "probabilities": [0.01042928044090604, 0.012484302441297212], "optimization_time": 7.01665186882019} | -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... | 1 | 8 | 2 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.1605) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.2568) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.1284) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0321) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
-6947061010794180714 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 7], [0, 1, 4, 5, 7], [8, 1, 5, 6], [0, 1, 2, 4, 6, 7, 8], [0, 8, 5, 1], [0, 1, 3, 4], [0, 1, 3, 8]]} | {"states": [430, 494], "expectation_value": -1.7100239068595906, "params": null, "bitstrings": ["001010001", "000010001"], "total_optimization_steps": 58, "probabilities": [0.21759058195594896, 0.7340022607648243], "optimization_time": 165.45021390914917} | 0.041666666666666664 * (Z(0) @ Z(2)) + 0.05119047619047619 * (Z(3) @ Z(2)) + 0.18452380952380953 * (Z(3) @ Z(0)) + 0.075 * (Z(4) @ Z(2)) + 0.175 * (Z(4) @ Z(0)) + 0.13452380952380952 * (Z(4) @ Z(3)) + 0.05119047619047619 * (Z(5) @ Z(2)) + 0.1511904761904762 * (Z(5) @ Z(0)) + 0.05119047619047619 * (Z(5) @ Z(3)) + 0.1011... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7357142857142858], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7154761904761897, "smallest_bitstrings": ["000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5494) q[1];
ry(1.1255) q[0];
ry(0.6029) q[7];
cry(0.4334) q[1], q[7];
cry(-0.4219) q[5], q[8];
cry(0.3251) q[1], q[0];
ry(0.4838) q[6];
cry(-0.3819) q[6], q[8];
cry(0.4367) q[1], q[6]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5494) 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] = m... |
fb6267fe9e00f958431b621d7db08da1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [11, 1], "expectation_value": -4.752857727781846, "params": null, "bitstrings": ["1110100", "1111110"], "total_optimization_steps": 20, "probabilities": [0.06683590605431504, 0.9171841330013739], "optimization_time": 16.61454463005066} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "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(-1.5681) q[1];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
cry(1.0357) q[3], q[5];
ry(-0.9388) q[5];
ry(-0.969) q[3];
cry(-0.8995) q[6], q[5];
ry(-1.5606) q[4];
cry(-0.5227) q[6], q[3];
ry(-1.4153) q[2];... | 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(-1.5681) 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", ... |
5352a77ee8029c0a1cc2f13dec084536 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [255, 252], "expectation_value": -0.4402790542191333, "params": [[0.063], [-0.0669]], "bitstrings": ["00000000", "00000011"], "total_optimization_steps": 10, "probabilities": [0.0050252936798599445, 0.005025293679859947], "optimization_time": 1.6951768398284912} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000", "00000011"]} | 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(-0.189) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.189) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.063) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.189) q[3];
cx q[4], q[3];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q... | {"node": 7} | {"circuits": [], "gradients": []} |
fa93b2dabe9fb7de7eb6d59e4bf6bfd4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 10}, {"capacity": 1, "source": 0, "target": 11}, {"capacity": 5, "source"... | {"states": [0, 2047], "expectation_value": -29.352880363747897, "params": [[[0.0066, -0.0059], [-0.0036000000000000003, 0.8293], [-0.0027, 0.003], [-0.0032, 0.0022], [-0.0026000000000000003, -0.0013000000000000002], [-0.0028, -0.0022], [-0.0026000000000000003, -0.0025], [-0.0025, 0.0014], [-0.0022, 0.003100000000000000... | -0.25 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -2.75 * (Z(6) @ Z(1)) + -1.0 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -2.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(10)) + -1.75 * (Z(5) @ Z(4)) + -1.0 * (Z(8)... | 15 | 12 | 3 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0066) q[0];
ry(-0.0036) q[1];
ry(-0.0027) q[2];
ry(-0.0032) q[3];
ry(-0.0026) q[4];
ry(-0.0028) q[5];
ry(-0.0026) q[6];
ry(-0.0025) q[7];
ry(-0.0022) q[8];
ry(0.0042) q[9];
ry(-0.9963) q[10];
ry(-0.5542) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [0, 142], "expectation_value": -1.179881094715133, "params": [[[0.4025, -0.0085], [0.405, 0.005], [0.0437, -0.0058000000000000005], [0.33430000000000004, -0.09050000000000001], [0.40650000000000003, 0.4017], [0.4025, 0.40640000000000004], [0.4033, 0.39680000000000004], [0.4076, 0.3957]], [[-0.0076, -0.0019],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100110", "00110110", "00110011", "01110001", "00111001", "10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4025) q[0];
ry(0.405) q[1];
ry(0.0437) q[2];
ry(0.3343) q[3];
ry(0.4065) q[4];
ry(0.4025) q[5];
ry(0.4033) q[6];
ry(0.4076) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2840456929365522092 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 3], [3, 4], [0, 5], [3, 5], [0, 6], [2, 3], [0, 4], [1, 6]]} | {"states": [122, 114], "expectation_value": -0.001721074157243166, "params": [[[1.5921, 0.0068000000000000005], [1.6081, 0.0043], [1.6165, 0.0083], [1.5528000000000002, 0.001], [1.5515, 0.0059], [1.599, 0.0049], [1.5471000000000001, 0.005200000000000001]]], "bitstrings": ["0000101", "0001101"], "total_optimization_step... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0000111", "1101000", "0010111", "0001111", "1110000", "1110010", "0001101", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.5921) q[0];
rz(0.0068) q[0];
rx(1.6081) q[1];
rz(0.0043) q[1];
rx(1.6165) q[2];
rz(0.0083) q[2];
rx(1.5528) q[3];
rz(0.001) q[3];
rx(1.5515) q[4];
rz(0.0059) q[4];
rx(1.599) q[5];
rz(0.0049) q[5];
rx(1.5471) q[6];
rz(0.0052) q[6];
c[0] = measure q[0];
c[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
1434096e59219230a9a448bfa214dbb8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.7289682416716032, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 40, "probabilities": [0.09667736587704383, 0.740450720865255], "optimization_time": 26.60245132446289} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5486) q[3], q[4];
cry(1.259) q[2], q[3];
ry(1.5308) q[1];
cry(1.0863) q[4], q[2];
ry(0.4497) q[3];
cry(0.6501) q[2], q[4];
cry(0.1769) q[4], q[3];
cry(0.4604) q[3], q[2];
ry(-0.3386) q[2];
cry(-0.1431) q[1]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.2063865661621094} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5486) q[0];
ry(-1.4449) q[1];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... |
adf83a7a772b7f772a66d54f36fd7522 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.8221821272274102, "params": [[0.0582, 0.056900000000000006, 0.0451, -0.0228], [-0.040100000000000004, -0.053200000000000004, -0.0504, -0.0205]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00823402289403422, 0.008855262842965... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0291) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1164) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0291) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.1164) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [174, 122], "expectation_value": -11.336999750028323, "params": [[-0.0396], [0.0751]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007228636152974015, 0.008485729063462807], "optimization_time": 1.928907871246338} | 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "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(-0.3168) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3168) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3168) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3168) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [125, 109], "expectation_value": -54.520044204733644, "params": [0.339, 0.2366, 0.8974000000000001, 0.0002, 0.9033, -0.0661, 0.4973, -0.2082, 0.8973000000000001, -0.0041, 0.8916000000000001, 0.06430000000000001, 0.4723, 0.2659, 0.8998, 0.0819, 0.334, 0.24980000000000002, 0.8986000000000001, -0.0057, 0.9012, ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.339) q[0];
rz(0.2366) q[0];
rx(0.8974) q[1];
rz(0.0002) q[1];
rx(0.9033) q[2];
rz(-0.0661) q[2];
rx(0.4973) q[3];
rz(-0.2082) q[3];
rx(0.8973) q[4];
rz(-0.0041) q[4];
rx(0.8916) q[5];
rz(0.0643) q[5];
rx(0.4723) q[6];
rz(0.2659) q[6];
rx(0.8998) 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": []} |
1f4bbfe7446d68943a04b00ebacd5a62 | 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": 5}, {"source": 0, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]} | {"states": [54, 59], "expectation_value": -4.240627747574594, "params": null, "bitstrings": ["1001001", "1000100"], "total_optimization_steps": 36, "probabilities": [0.08262566223498526, 0.8263846024562964], "optimization_time": 31.944228172302246} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
cry(-1.4449) q[6], q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[5];
ry(0.8256) q[6];
ry(-0.5508) q[4];
cry(1.321) q[6], q[3];
cry(0.4133) q[5], q[6];
cry(-0.1332) q[3], q[4];
ry(... | 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", ... |
4d9c0a679165a8428113584eee3a2f8b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [24, 56], "expectation_value": -3.445458744915952, "params": [0.3821, -0.024800000000000003, 0.00030000000000000003, 0.22760000000000002, 0.392, 0.0955, 0.39580000000000004, 0.0036000000000000003, 0.4022, -0.0018000000000000002, 0.0656, 0.2182, 0.115, -0.1217, 0.060000000000000005, -0.17700000000000002, 0.38... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(7) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111001", "11101001", "10110110", "01010111", "11000111", "11010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3821) q[0];
rz(-0.0248) q[0];
rx(0.0003) q[1];
rz(0.2276) q[1];
rx(0.392) q[2];
rz(0.0955) q[2];
rx(0.3958) q[3];
rz(0.0036) q[3];
rx(0.4022) q[4];
rz(-0.0018) q[4];
rx(0.0656) q[5];
rz(0.2182) q[5];
rx(0.115) q[6];
rz(-0.1217) q[6];
rx(0.06) 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": []} |
f736cdcdd3e9fab7057c0068d5117a32 | 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": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [348, 244], "expectation_value": -11.48894752191741, "params": [[0.0425, -0.012100000000000001], [-0.0485, -0.020300000000000002]], "bitstrings": ["010100011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00384452526506177, 0.004319676227788245], "optimization_time": 7.4709320068359375} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "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(0.3825) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3825) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3825) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3825) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
9e3fd441307ea46e321a51e29b173f1a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -15.642131759604682, "params": null, "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.10389550088160228, 0.6207979075228155], "optimization_time": 288.25103878974915} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 2 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-0.0267) q[5];
ry(0.4144) q[8];
cry(1.0551) q[8], q[5];
cry(0.9107) q[3], q[5];
cry(1.0479) q[5], q[8];
ry(1.5708) q[4];
cry(1.5708) q[4], q[10];
cry(1.5444) q[2], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-0.0267) 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] = m... |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 12.115156412124634} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[1];
cry(1.4449) q[4], q[2];
cry(-1.3016) q[4], q[0];
cry(0.909) q[2], q[4];
cry(-0.5426) q[2], q[0];
ry(0.167) q[4];
ry(0.1793) q[2];
cry(0.4711) q[1], q[3];
ry(0.3841) q[3];
cry(0.1949) q[3], q[0];
cry(0.27... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
dcc91cdbd34687cb4cde0159b3b69295 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -1.4555255081901703, "params": [[0.0531, 0.0429], [-0.044500000000000005, -0.0413]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.0225708209728112, 0.026810465857586025], "optimization_time": 3.1237754821777344} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.1593) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.1062) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0531) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.2921) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-6973000024119512029 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 3], [4, 7], [2, 5], [3, 6], [8, 6]]} | {"states": [412, 468], "expectation_value": -0.012699420799828665, "params": [[0.0334], [-0.0318]], "bitstrings": ["001100011", "000101011"], "total_optimization_steps": 10, "probabilities": [0.002003180198433427, 0.002003180198433427], "optimization_time": 1.9033501148223877} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["101000110", "011110001", "000101011", "010111001", "100001110", "001100011", "111010100", "110011100"]} | 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[1];
rz(0.0334) q[1];
cx q[7], q[1];
cx q[3], q[0];
rz(0.0334) q[0];
cx q[3], q[0];
cx q[7], q[4];
rz(0.0334) q[4];
cx q[7], q[4];
cx q[5], q[2];
rz(0.0334) q[2];
cx q[5], q[2];
... | 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[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];... | null | {"circuits": [], "gradients": []} |
6f1f8daa017121276619f2bc791c1351 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -42.53120438315535, "params": [0.0036000000000000003, 0.2258, -0.0036000000000000003, -0.1978, 0.0043, 0.26890000000000003, 0.0032, 0.2768, 0.0014, 0.30760000000000004, 0.004, 0.29860000000000003, 0.4027, 0.0035, 0.40030000000000004, 0.0021000000000000003, 0.0015, 0.3164, 0.002... | -1.25 * (Z(0) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -1.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(9)) + -2.0 * (Z(6) @ Z(1)) + -1.0 * (Z(11) @ Z(4)) + -2.25 * (Z(11) @ Z(9)) + -2.25 * (Z(11) @ Z(1)) + 3.5 * (Z... | 6 | 12 | 2 | {"smallest_eigenvalues": [-43.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0036) q[0];
rz(0.2258) q[0];
rx(0.0043) q[1];
rz(0.2689) q[1];
rx(0.0014) q[2];
rz(0.3076) q[2];
rx(0.4027) q[3];
rz(0.0035) q[3];
rx(0.0015) q[4];
rz(0.3164) q[4];
rx(0.0024) q[5];
rz(0.314) q[5];
rx(0.0042) q[6];
rz(0.2554) q[6];
rx(0.0038) 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": 11} | {"circuits": [], "gradients": []} |
41f5d14198a8f768cc0b3d505e40e1f6 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [76, 77], "expectation_value": -5.642413994983866, "params": [0.0025, 0.7233, 0.0025, 0.004200000000000001, 1.2023000000000001, 0.034800000000000005, 1.2054, 0.00030000000000000003, -0.0014, -0.42650000000000005, 0.0015, 0.0058000000000000005, -0.0025, 0.7248, -0.0025, 0.0057, 1.1561000000000001, 0.034800000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0025) q[0];
rz(0.7233) q[0];
rx(1.2023) q[1];
rz(0.0348) q[1];
rx(-0.0014) q[2];
rz(-0.4265) q[2];
rx(-0.0025) q[3];
rz(0.7248) q[3];
rx(1.1561) q[4];
rz(0.0348) q[4];
rx(1.1979) q[5];
rz(0.0336) q[5];
rx(0.0037) q[6];
rz(-0.7086) q[6];
rx(0.8596) 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": []} |
-3577728562633297950 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 5], [1, 6], [2, 4, 5], [1, 2], [3, 4], [0, 6]]} | {"states": [19, 27], "expectation_value": -0.896196178508498, "params": [0.9587, 0.39530000000000004, 0.8345, 0.0002, 0.534, 0.42700000000000005, 0.4934, 0.0059, 1.1063, 0.1386, 1.1067, 0.0027, 1.0986, -0.32730000000000004, 0.9049, 0.006900000000000001, 1.0914000000000001, -0.36710000000000004, 0.877, 0.0025, 1.0925, 0... | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9587) q[0];
rz(0.3953) q[0];
rx(0.534) q[1];
rz(0.427) q[1];
rx(1.1063) q[2];
rz(0.1386) q[2];
rx(1.0986) q[3];
rz(-0.3273) q[3];
rx(1.0914) q[4];
rz(-0.3671) q[4];
rx(1.0925) q[5];
rz(0.1674) q[5];
rx(1.0959) q[6];
rz(0.2099) q[6];
crz(-0.1858) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 22.358836889266968} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[0];
ry(0.8457) q[3];
ry(-0.3698) q[2];
ry(-0.338) q[0];
cry(0.3839) q[3], q[4];
cry(-0.219) q[3], q[2];
cry(0.3173) q[4], q[3];
cry(-0.2306... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [123, 127], "expectation_value": -9.535691942848088, "params": null, "bitstrings": ["110000100", "110000000"], "total_optimization_steps": 58, "probabilities": [0.39358510964877785, 0.39358510964877785], "optimization_time": 72.86594605445862} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.57) q[1];
ry(1.5708) q[7];
cry(1.5706) q[8], q[2];
cry(1.5681) q[7], q[5];
cry(1.5486) q[5], q[3];
cry(1.4449) q[5], q[4];
cry(-1.0342) q[2], q[0];
ry(0.3867) q[8];
ry(0.2115) q[2];
... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) q[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] = me... |
9ebf73db5d267bdba1dcbb1966f3363d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1022, 2047], "expectation_value": -18.21327956631472, "params": [[[-1.1136000000000001, 1.2086000000000001], [0.0568, 1.2028], [0.0026000000000000003, 0.5501], [0.0019, 0.0023], [0.0024000000000000002, 0.0026000000000000003], [0.0015, 0.0018000000000000002], [0.0022, 0.0019], [0.0016, 0.1418], [0.0023, -0.0... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["11000000000", "00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.1136) q[0];
ry(0.0568) q[1];
ry(0.0026) q[2];
ry(0.0019) q[3];
ry(0.0024) q[4];
ry(0.0015) q[5];
ry(0.0022) q[6];
ry(0.0016) q[7];
ry(0.0023) q[8];
ry(-0.1004) q[9];
ry(0.0038) 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] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [48, 9], "expectation_value": -1.737879372650061, "params": [[0.0596, 0.07, 0.0727, 0.0738], [-0.0342, -0.0611, -0.0683, -0.0683]], "bitstrings": ["001111", "110110"], "total_optimization_steps": 10, "probabilities": [0.029387866573755257, 0.03442664066736113], "optimization_time": 5.462731838226318} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"]} | 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(0.0596) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0596) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0596) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0596) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0596... | OPENQASM 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": []} |
9654c545357abbe9e95dba48af827af6 | 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}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -25.45358723797304, "params": [[0.0325, 0.0154, 0.0018000000000000002, -0.020800000000000003], [-0.0724, -0.06380000000000001, -0.0488, -0.028900000000000002]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01704932721429417, 0.01... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.26) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.26) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.26) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(0.26) q[5];
cx q[2], q[5];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
49997f91d015305c9a05c6fd1748e146 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [65, 322], "expectation_value": -5.614296840831886, "params": [[0.48750000000000004, 0.3771, 0.6056, 0.1584, -0.0051, -0.0064, -0.0094, 0.47750000000000004, 0.5451], [0.4737, 0.38720000000000004, 0.6048, 0.1337, -0.0051, -0.00030000000000000003, -0.019100000000000002, 0.5967, 0.5403], [0.5024000000000001, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.5, "smallest_bitstrings": ["110111001", "110111100", "001111101", "011001111", "101011011", "011101101", "101011110", "111110100", "001011111", "101111100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4875) q[0];
ry(0.3771) q[1];
ry(0.6056) q[2];
ry(0.1584) q[3];
ry(-0.0051) q[4];
ry(-0.0064) q[5];
ry(-0.0094) q[6];
ry(0.4775) q[7];
ry(0.5451) 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];... | OPENQASM 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": []} |
1fc21af19f39ef7e600197f0903292a1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [8816, 8944], "expectation_value": -7.405355004797189, "params": [[[0.8017000000000001, 0.0004, 0.0034000000000000002, 0.0077], [0.0037, 1.5021, 0.0022, 0.0014], [0.005200000000000001, 0.73, 0.0026000000000000003, 0.7261000000000001], [-0.0135, 0.5696, 0.0044, 0.0004], [0.7837000000000001, 0.0026000000000000... | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 12 | 14 | 4 | {"smallest_eigenvalues": [-8.666666666666625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666607, "smallest_bitstrings": ["01110100001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.8017) q[0];
rz(0.0004) q[0];
ry(0.0037) q[1];
rz(1.5021) q[1];
ry(0.0052) q[2];
rz(0.73) q[2];
ry(-0.0135) q[3];
rz(0.5696) q[3];
ry(0.7837) q[4];
rz(0.0026) q[4];
ry(0.0029) q[5];
rz(0.6758) q[5];
ry(0.29) q[6];
rz(-0.6323) q[6];
ry(0.1335) 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": 6} | {"circuits": [], "gradients": []} |
b10e647670f759bc4f3dd1387515cbab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [73, 75], "expectation_value": -1.249216368161155, "params": [1.6011, 0.004, 0.5557, 0.001, -0.0027, 0.008700000000000001, 1.6057000000000001, 0.0033, 1.2721, 0.0061, 1.5985, 0.0002, 1.6018000000000001, 0.0007, 0.0025, 0.0022, 0.0025, 0.0013000000000000002, 0.0001, 0.0012000000000000001, 0.006200000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(4)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(0) @ Z(5... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["0110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6011) q[0];
rz(0.004) q[0];
rx(0.5557) q[1];
rz(0.001) q[1];
rx(-0.0027) q[2];
rz(0.0087) q[2];
rx(1.6057) q[3];
rz(0.0033) q[3];
rx(1.2721) q[4];
rz(0.0061) q[4];
rx(1.5985) q[5];
rz(0.0002) q[5];
rx(1.6018) q[6];
rz(0.0007) q[6];
crz(0.0025) 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": []} |
f736cdcdd3e9fab7057c0068d5117a32 | 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": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [461, 244], "expectation_value": -31.943007162855732, "params": null, "bitstrings": ["000110010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.04759182583258912, 0.11524234187856296], "optimization_time": 190.61533045768738} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "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];
ry(0.1246) q[3];
ry(23.2852) q[4];
ry(-25.9147) q[1];
ry(6.6126) q[0];
ry(0.1645) q[5];
ry(3.6791) q[2];
cry(62.8422) q[5], q[0];
cry(5.894) q[0], q[5];
cry(62.9658) q[0], q[3];
ry(22.4691... | 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(0.1246) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.9999611311231182, "params": [0.01, 0.49710000000000004, -0.49410000000000004, -0.0477, -0.0046, 0.7956000000000001, -0.0026000000000000003, 0.7773, -0.011300000000000001, 0.8148000000000001, -0.4143, -0.1832, 0.0078000000000000005, 0.7603000000000001, 0.0054, 0.814900000000000... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 18 | 4 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.01) q[0];
rz(0.4971) q[0];
rx(-0.4941) q[1];
rz(-0.0477) q[1];
rx(-0.0046) q[2];
rz(0.7956) q[2];
rx(-0.0026) q[3];
rz(0.7773) q[3];
crz(-0.7699) q[3], q[0];
crz(-0.7842) q[2], q[3];
crz(0.071) q[1], q[2];
crz(-0.4626) q[0], q[1];
rx(-0.0113) q[0];
rz(0.8... | OPENQASM 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": 2} | {"circuits": [], "gradients": []} |
267f594e5cb21532a1a860c7d4e0717d | 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}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [230, 118], "expectation_value": -14.996187032276328, "params": [[-0.0188, 0.0183, 0.0229, 0.0122], [0.0317, -0.0239, -0.0485, -0.040400000000000005]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008256067019078267, 0.008901416687200042], "optimization_time": 9... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1504) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1504) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1504) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1504) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
fae46be849bbc94b9f1dd33f8196a5ab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"sour... | {"states": [0, 181], "expectation_value": -4.116051584062446, "params": [0.1701, -0.0006000000000000001, 0.1008, 0.0079, 0.6032000000000001, 0.0033, 0.6101, 0.0073, 0.595, 0.0004, 0.3693, 0.0083, 0.6045, -0.0011, 0.6068, 0.0036000000000000003, 0.6056, -0.0039000000000000003, 0.6044, 0.0008, 0.4307, -0.0007, 0.276900000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -2.5 * Z(0) + -1.5 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101101000", "101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1701) q[0];
rz(-0.0006) q[0];
rx(0.6032) q[1];
rz(0.0033) q[1];
rx(0.595) q[2];
rz(0.0004) q[2];
rx(0.6045) q[3];
rz(-0.0011) q[3];
rx(0.6056) q[4];
rz(-0.0039) q[4];
rx(0.4307) q[5];
rz(-0.0007) q[5];
rx(0.6056) q[6];
rz(0.0028) q[6];
rx(0.6052) 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": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.