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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
294512af72c0fecd4cefe8fd6a356b5c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -6.343782596893934, "params": [[-0.0179, -0.0419], [0.0098, 0.0558]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007200680089044565, 0.007531153787564515], "optimization_time": 2.8515524864196777} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.1611) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.1611) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.1611) q[1];
cx q[2], q[1];
cx q[3], q[4];
rz(-0.1611) q[4];
cx q[3], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [105, 60], "expectation_value": -0.07447597098431269, "params": [[-0.0391, 0.0074, 0.0682], [0.0609, 0.0317, -0.0405]], "bitstrings": ["0010110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.008828682040082789, 0.008828699433096384], "optimization_time": 4.048388957977295} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"]} | 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(-0.0196) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0196) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0196) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0196) q[0];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | 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": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2044, 2047], "expectation_value": -13.148906417620456, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.10317576632914877, 0.39529417814210344], "optimization_time": 219.29726815223694} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (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)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000000011"]} | 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(1.5706) q[9], q[10];
cry(1.5681) q[7], q[8];
cry(1.5708) q[8], q[6];
cry(1.2536) q[6], q[7];
cry(0.4771) q[6], q[8];
cry(1.5681) q[5], q[4];
ry(1.0829) q[5];
cry(1.5... | null | {"node": 11} | {"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(1.5706) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... |
b2a86e79e509d0d76748a475959a4d60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -29.455126403452056, "params": [[-0.0308, -0.0122, 0.0001, 0.01], [0.0575, 0.0574, 0.0655, 0.060200000000000004]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.019555518043758584, 0.025243058181052064], "optimization_time": 6.540... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2464) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2464) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2464) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.2464) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
2245322243908922616 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 5, 6, 7], [3, 5, 8, 9, 10], [0, 2, 3, 5, 6, 9], [1, 4, 7, 8, 10], [0, 2, 3, 4, 6, 7], [9, 4, 5, 7], [8, 1, 2], [3, 6, 7, 8, 9, 10], [1, 6], [0, 10, 6, 7], [0, 2, 4, 5, 10], [10, 4, 5, 6], [1, 10, 3, 5], [2, 3, 4, 5, 6, 8]]} | {"states": [509, 445], "expectation_value": -2.0856646559784684, "params": [[[1.5542, 0.0066], [0.9809, 0.008400000000000001], [2.7973000000000003, 0.0044], [2.7804, 0.0094], [1.5703, 0.0036000000000000003], [2.5097, 0.0048000000000000004], [1.7347000000000001, 0.0053], [2.7872000000000003, 0.0086], [2.7962000000000002... | 0.15000000000000002 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.15 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.1833333... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2166666666666672, "smallest_bitstrings": ["11001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5542) q[0];
rz(0.0066) q[0];
rx(0.9809) q[1];
rz(0.0084) q[1];
rx(2.7973) q[2];
rz(0.0044) q[2];
rx(2.7804) q[3];
rz(0.0094) q[3];
rx(1.5703) q[4];
rz(0.0036) q[4];
rx(2.5097) q[5];
rz(0.0048) q[5];
rx(1.7347) q[6];
rz(0.0053) q[6];
rx(2.7872) 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": []} |
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -10.002515709217175, "params": [-0.7475, -0.002, 0.45330000000000004, 0.003, 0.9928, 0.0033, 0.9884000000000001, 0.0006000000000000001, 0.9994000000000001, 0.0105, 0.9868, 0.005200000000000001, -0.9207000000000001, 0.003, 0.6727000000000001, 0.0032, 1.0034, 0.0111, 1.0042, ... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.7475) q[0];
rz(-0.002) q[0];
rx(0.9928) q[1];
rz(0.0033) q[1];
rx(0.9994) q[2];
rz(0.0105) q[2];
rx(-0.9207) q[3];
rz(0.003) q[3];
rx(1.0034) q[4];
rz(0.0111) q[4];
rx(0.9923) q[5];
rz(0.0024) q[5];
rx(0.9909) q[6];
rz(0.0081) q[6];
rx(1.0004) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-9064799015260102294 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [2, 3], [0, 1, 4], [5, 6], [3, 5], [0, 6, 7]]} | {"states": [156, 154], "expectation_value": -2.3253157497653634, "params": null, "bitstrings": ["01100011", "01100101"], "total_optimization_steps": 46, "probabilities": [0.053189606354859434, 0.8274649856975778], "optimization_time": 61.15325665473938} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["10100100", "00011010", "01100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[0];
cry(-1.0342) q[6], q[5];
cry(-1.0342) q[3], q[2];
ry(1.0293) q[3];
ry(-0.6992) q[2];
cry(0.4036) q[0], q[3];
ry(0.7029) q[6];
cry(-0.7999) q[3], q[5];
cry(0.6619) q[0], q[6];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[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[... |
62d59a2c57c5a5e03bc57aa993d43fe2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 45], "expectation_value": -2.876548937244532, "params": [[[-0.1826, 0.0058000000000000005], [-0.0022, 0.005200000000000001], [0.9025000000000001, 0.0318], [-0.0378, 0.045700000000000005], [0.28350000000000003, -0.3104], [0.36410000000000003, -0.4748], [-0.1809, -0.7366], [-0.7553000000000001, 0.8766]], ... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(7... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "11010001", "11001100", "11011000", "11010010", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.1826) q[0];
ry(-0.0022) q[1];
ry(0.9025) q[2];
ry(-0.0378) q[3];
ry(0.2835) q[4];
ry(0.3641) q[5];
ry(-0.1809) q[6];
ry(-0.7553) 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[... | null | {"circuits": [], "gradients": []} |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [0, 127], "expectation_value": -3.8100375286424057, "params": [[[-0.0035, 0.4353], [-0.003, -0.0023], [-0.0029000000000000002, -0.003], [-0.0023, -0.0029000000000000002], [-0.0014, 0.0026000000000000003], [-0.0021000000000000003, -0.0026000000000000003], [-0.004, -0.1116], [1.6277000000000001, 0.0041]], [[-0... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0035) q[0];
ry(-0.003) q[1];
ry(-0.0029) q[2];
ry(-0.0023) q[3];
ry(-0.0014) q[4];
ry(-0.0021) q[5];
ry(-0.004) q[6];
ry(1.6277) 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": []} |
1be342b7b9f0ab3ab6191bfa0f86ee00 | 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": [175, 173], "expectation_value": -74.24721416491872, "params": [0.3632, 0.3816, 0.9917, 0.0035, -0.0033, 0.6906, 1.0037, -0.11320000000000001, 0.2932, -0.3461, 0.9918, -0.0099, 0.9915, 0.1051, 0.5538000000000001, 0.257, 0.9881000000000001, 0.2606, 0.3613, 0.3448, 1.0012, -0.0039000000000000003, -0.0003000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 15.0 * Z(1) + 4.5 * Z(0) + -5.5 * Z(2) + 3.0 * Z(3) + 3.... | 18 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3632) q[0];
rz(0.3816) q[0];
rx(0.9917) q[1];
rz(0.0035) q[1];
rx(-0.0033) q[2];
rz(0.6906) q[2];
rx(1.0037) q[3];
rz(-0.1132) q[3];
rx(0.2932) q[4];
rz(-0.3461) q[4];
rx(0.9918) q[5];
rz(-0.0099) q[5];
rx(0.9915) q[6];
rz(0.1051) q[6];
rx(0.5538) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -0.1163610445907387, "params": [[-0.0811], [0.0738]], "bitstrings": ["011100", "010101"], "total_optimization_steps": 10, "probabilities": [0.017526150682755814, 0.017526150682755818], "optimization_time": 0.9649279117584229} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0811) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.0811) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.0811) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0811) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [25, 88], "expectation_value": -3.9890916346515803, "params": null, "bitstrings": ["1100110", "0100111"], "total_optimization_steps": 32, "probabilities": [0.0607191660472404, 0.8639381839616302], "optimization_time": 26.875593662261963} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
cry(-1.0398) q[0], q[6];
cry(-1.0342) q[2], q[1];
ry(0.7022) q[0];
ry(0.7003) q[2];
ry(-0.4578) q[6];
cry(0.4969) q[3], q[0];
ry(-0.4549) q[1];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4201747125381448037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 3, 6], [1, 2, 6], [1, 10, 7], [8, 1, 7], [1, 3], [0, 2, 5], [9, 4, 6], [8, 10, 4], [8, 3, 7], [0, 4, 5], [0, 9], [9, 3], [8, 0, 3], [8, 0, 10], [9, 7], [2, 3, 6], [9, 10, 4], [8, 10, 3], [0, 8, 5], [2, 7], [3, 5, 6]]} | {"states": [1847, 823], "expectation_value": -3.5792203950448767, "params": [0.637, 0.6613, 1.0472000000000001, 1.073, 1.4537, 1.4915, 0.45740000000000003, 0.4539, 0.6578, 0.6782, 1.4857, 1.4934, 1.482, 1.4887000000000001, 0.2836, 0.27940000000000004, 1.4941, 1.4948000000000001, 0.5691, 0.7185, 1.4867000000000001, 1.48... | 0.3333333333333333 * (Z(10) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.1666666... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666668, "smallest_bitstrings": ["10011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.637) q[0];
ry(1.0472) q[1];
ry(1.4537) q[2];
ry(0.4574) q[3];
ry(0.6578) q[4];
ry(1.4857) q[5];
ry(1.482) q[6];
ry(0.2836) q[7];
ry(1.4941) q[8];
ry(0.5691) q[9];
ry(1.4867) q[10];
crx(0.809) q[10], q[0];
crx(0.5905) q[9], q[10];
crx(0.4397) q[8], q[9];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -1.3315052041467408, "params": [[0.0545, 0.06860000000000001, 0.0721, 0.069], [-0.0235, -0.0534, -0.062200000000000005, -0.0562]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.023124580006688714, 0.023510492334724634], "optimization_t... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0818) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0545) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0818) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0272) q[2];
cx q[5], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
6bafdfefe9c58b49ec570eb8d3c23bdb | 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": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": ... | {"states": [500, 372], "expectation_value": -94.63137476051108, "params": [0.0018000000000000002, 0.4464, 0.0053, 0.4489, 0.6963, 0.0786, 0.6974, 0.0402, 0.41340000000000005, -0.1602, 0.4189, -0.1704, 0.6964, 0.1124, 0.6998000000000001, 0.0896, 0.6977, 0.1222, 0.6929000000000001, 0.1023, 0.6948000000000001, 0.1212, 0.6... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0018) q[0];
rz(0.4464) q[0];
rx(0.6963) q[1];
rz(0.0786) q[1];
rx(0.4134) q[2];
rz(-0.1602) q[2];
rx(0.6964) q[3];
rz(0.1124) q[3];
rx(0.6977) q[4];
rz(0.1222) q[4];
rx(0.6948) q[5];
rz(0.1212) q[5];
rx(0.2912) q[6];
rz(-0.1917) q[6];
rx(0.7017) 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[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 61], "expectation_value": -2.9463793507031726, "params": [0.0006000000000000001, 0.6545000000000001, 0.10890000000000001, 0.5052, 0.796, 0.0241, 0.7283000000000001, 0.0533, 0.4451, 0.020300000000000002, 0.7885000000000001, -0.0045000000000000005, -0.004200000000000001, -0.455, 0.7807000000000001, 0.0066... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0006) q[0];
rz(0.6545) q[0];
rx(0.1089) q[1];
rz(0.5052) q[1];
rx(0.796) q[2];
rz(0.0241) q[2];
rx(0.7283) q[3];
rz(0.0533) q[3];
rx(0.4451) q[4];
rz(0.0203) q[4];
rx(0.7885) q[5];
rz(-0.0045) q[5];
rx(-0.0042) q[6];
rz(-0.455) q[6];
rx(0.7807) 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": []} |
-9116500539204960892 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 10], [8, 11, 5], [0, 4], [1, 11], [3, 11], [1, 6], [1, 7], [9, 11], [12, 5]]} | {"states": [5362, 5346], "expectation_value": -3.6355681113130887, "params": [1.3899000000000001, 1.3903, 0.1841, 0.1825, 1.3496000000000001, 1.3435000000000001, 0.1968, 0.1937, 0.1826, 0.18480000000000002, 1.3953, 1.4018000000000002, 1.3908, 1.3896000000000002, 1.3902, 1.3892, 0.7537, 0.7586, 0.1897, 0.197, 0.2348, 0.... | 0.5 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(8) @ Z(11)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(12) @ Z(5)) + 0.0 * Z(10) + 0.0 * Z(2... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.3899) q[0];
ry(0.1841) q[1];
ry(1.3496) q[2];
ry(0.1968) q[3];
ry(0.1826) q[4];
ry(1.3953) q[5];
ry(1.3908) q[6];
ry(1.3902) q[7];
ry(0.7537) q[8];
ry(0.1897) q[9];
ry(0.2348) q[10];
ry(1.3966) q[11];
ry(0.1856) q[12];
crz(0.5906) q[12], q[0];
crz(-0.00... | OPENQASM 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": []} |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [42410, 21930], "expectation_value": -2.0007156183776384, "params": [[[3.1590000000000003, 0.006200000000000001], [-1.6147, 0.003], [3.1620000000000004, 0.0027], [-1.6108, 0.0081], [3.161, 0.0039000000000000003], [1.619, 0.0034000000000000002], [3.1602, 0.0037], [-0.0154, 0.0014], [3.1588000000000003, 0.0047... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000375 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.000375 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.022999999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999999313, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.159) q[0];
rz(0.0062) q[0];
rx(-1.6147) q[1];
rz(0.003) q[1];
rx(3.162) q[2];
rz(0.0027) q[2];
rx(-1.6108) q[3];
rz(0.0081) q[3];
rx(3.161) q[4];
rz(0.0039) q[4];
rx(1.619) q[5];
rz(0.0034) q[5];
rx(3.1602) q[6];
rz(0.0037) q[6];
rx(-0.0154) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
69f8cd3d82c8c8a705ea1003fa425ab5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 7},... | {"states": [2047, 2046], "expectation_value": -3.247209049236396, "params": [[-0.0879], [0.0814]], "bitstrings": ["00000000000", "00000000001"], "total_optimization_steps": 10, "probabilities": [0.0012055388842396337, 0.0012403520137599425], "optimization_time": 1.3773202896118164} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -2.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(0.3516) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0879) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2637) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.2637) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 11} | {"circuits": [], "gradients": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 91.00595569610596} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[6];
ry(-1.5708) q[3];
cry(-1.57) q[7], q[0];
ry(1.5681) q[5];
cry(1.2279) q[2], q[7];
cry(1.3023) q[7], q[2];
cry(1.5543) q[2], q[4];
cry(1.562) q[5], q[1];
cry(-0.3926) q[2], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
726a5ae01318539d56f80c3be6bbd791 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1242, 1502], "expectation_value": -2.985694493513399, "params": null, "bitstrings": ["01100100101", "01000100001"], "total_optimization_steps": 100, "probabilities": [0.06306196579520189, 0.6625597524668825], "optimization_time": 425.42706966400146} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 11 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"]} | 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(-1.1871) q[9], q[5];
ry(1.1774) q[6];
ry(1.0342) q[7];
ry(1.0231) q[0];
cry(-0.5442) q[4], q[5];
ry(0.5608) q[9];
cry(-0.8972) q[2], q[10];
cry(0.7468) q[9], q[4];
c... | null | null | {"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(-1.1871) q[9], 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... |
9b8c0ccb32d0f88d964f624767035a96 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -3.215516246148923, "params": [[-0.0631, -0.053700000000000005, -0.0707, -0.0637], [0.0713, 0.0572, 0.0663, 0.0648]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.018377062125514564, 0.021209927482517796], "optimization_time": 5.2888... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "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[1], q[0];
rz(0.0947) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0631) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0947) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(0.1578) q[2];
cx q[1], q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3066191854966720140 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5], [2, 3, 4, 6], [0, 1, 4, 6], [1, 2, 5]]} | {"states": [121, 87], "expectation_value": -0.420709009410916, "params": [[0.3806], [-0.38420000000000004]], "bitstrings": ["0000110", "0101000"], "total_optimization_steps": 40, "probabilities": [0.014288288738491979, 0.014342478937909237], "optimization_time": 5.083229064941406} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.1666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["0101000"]} | 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(0.1015) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0381) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0381) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.1015) q[4];
cx q[1], q[4];
cx q[0], q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
ab0784fbffbb4b626ba9d99841d2b14f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1372, 1404], "expectation_value": -4.139873027788769, "params": [[[1.0469, -0.0018000000000000002], [-0.001, 0.9466], [1.0452000000000001, 0.0027], [0.10110000000000001, 0.5807], [1.0453000000000001, 0.0023], [0.5613, -0.010100000000000001], [1.0318, -0.0038], [1.0406, -0.0021000000000000003], [1.0432000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["01000110010", "01000101100", "01010000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.0469) q[0];
rz(-0.0018) q[0];
rx(-0.001) q[1];
rz(0.9466) q[1];
rx(1.0452) q[2];
rz(0.0027) q[2];
rx(0.1011) q[3];
rz(0.5807) q[3];
rx(1.0453) q[4];
rz(0.0023) q[4];
rx(0.5613) q[5];
rz(-0.0101) q[5];
rx(1.0318) q[6];
rz(-0.0038) q[6];
rx(1.0406) 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": []} |
9d0fda9991561362ccfc12e66c38b9f5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [19, 50], "expectation_value": -2.998868606127394, "params": [[[1.5583, 0.0028], [1.6544, -0.0029000000000000002], [-0.0019, -0.0022], [0.055600000000000004, -0.0316], [0.4892, -0.4889], [1.6007, 1.5590000000000002]]], "bitstrings": ["101100", "001101"], "total_optimization_steps": 170, "probabilities": [0.2... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.5583) q[0];
ry(1.6544) q[1];
ry(-0.0019) q[2];
ry(0.0556) q[3];
ry(0.4892) q[4];
ry(1.6007) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0028) q[0];
ry(-0.0029) q[1];
ry(-0.0022) q[2];
ry(-0.0316) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.15126941323902643, "params": [[0.0651], [-0.060500000000000005]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.0090640022300942, 0.009182982691056312], "optimization_time": 2.0049283504486084} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0326) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0651) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0651) q[1];
cx q[6], q[1];
cx q[3], q[2];
rz(-0.0326) q[2];
cx q[3], q[2];
cx q[1], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-5747535397863514016 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3], [3, 5, 6, 9, 10], [0, 8], [1, 12], [3, 4], [10, 7], [2, 11]]} | {"states": [5288, 855], "expectation_value": -1.483059611385195, "params": [[[1.3960000000000001, 1.3965], [1.0857, 1.3987], [0.1696, 0.7896000000000001], [-0.614, 1.4034], [-0.6256, 1.3682], [1.4023, 1.3962], [1.3931, 1.4047], [1.4108, 1.4048], [1.4098000000000002, 0.743], [1.3995, 1.3907], [1.4036, 1.0246], [1.4109, ... | 0.5 * (Z(5) @ Z(6)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(9) @ Z(6)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(12) @ Z(6)) + 0.05 * (Z(12) @ Z(8)) + 0.05 * (Z(12) @ Z(9)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(8)) + 0.05 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(12)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.396) q[0];
ry(1.0857) q[1];
ry(0.1696) q[2];
ry(-0.614) q[3];
ry(-0.6256) q[4];
ry(1.4023) q[5];
ry(1.3931) q[6];
ry(1.4108) q[7];
ry(1.4098) q[8];
ry(1.3995) q[9];
ry(1.4036) q[10];
ry(1.4109) q[11];
ry(1.3753) q[12];
cx q[12], q[0];
cx q[11], q[12];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [56947, 56955], "expectation_value": -16.2042739989409, "params": [1.5769, 1.5743, 1.5716, 1.5656, 0.6766, 0.6778000000000001, 0.8775000000000001, 0.8806, 1.5714000000000001, 1.5693000000000001, 1.5948, 1.588, 0.9352, 0.928, 0.6908000000000001, 0.6811, 0.6941, 0.6890000000000001, 0.9114000000000001, 0.907600... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 13 | 16 | 1 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5769) q[0];
ry(1.5716) q[1];
ry(0.6766) q[2];
ry(0.8775) q[3];
ry(1.5714) q[4];
ry(1.5948) q[5];
ry(0.9352) q[6];
ry(0.6908) q[7];
ry(0.6941) q[8];
ry(0.9114) q[9];
ry(1.5889) q[10];
ry(1.5773) q[11];
ry(0.8748) q[12];
ry(0.6919) q[13];
ry(1.5739) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [104, 105], "expectation_value": -1.6054997040431827, "params": [0.5057, 0.0035, 0.5048, 0.020800000000000003, 0.197, -0.0879, 0.5008, 0.0256, 0.22440000000000002, 0.29200000000000004, -0.0009000000000000001, 0.376, 0.4238, 0.007200000000000001, 0.5029, 0.005200000000000001, 0.5033, -0.003, 0.1932, -0.111300... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 16 | 7 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5057) q[0];
rz(0.0035) q[0];
rx(0.5048) q[1];
rz(0.0208) q[1];
rx(0.197) q[2];
rz(-0.0879) q[2];
rx(0.5008) q[3];
rz(0.0256) q[3];
rx(0.2244) q[4];
rz(0.292) q[4];
rx(-0.0009) q[5];
rz(0.376) q[5];
rx(0.4238) q[6];
rz(0.0072) q[6];
crz(0.0128) q[1], 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": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [430, 374], "expectation_value": -0.0433897478535743, "params": [[0.0664], [-0.054400000000000004]], "bitstrings": ["001010001", "010001001"], "total_optimization_steps": 10, "probabilities": [0.0021664908695188958, 0.0021664908695188992], "optimization_time": 9.033059120178223} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"]} | 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(0.0166) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0166) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0166) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0166) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | null | {"circuits": [], "gradients": []} |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -10.356852588465852, "params": [[0.0334, 0.026600000000000002], [-0.037200000000000004, -0.0419]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007598200079574721, 0.0085970988075054], "optimization_time": 3.8951563835144043} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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(0.2338) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2338) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2338) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2338) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
-4339936397662410778 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 5], [1, 2, 3, 4, 5, 6], [0, 1, 3, 4, 6, 7], [1, 2, 4, 7], [0, 2, 3, 4, 6, 7], [0, 1, 2, 3, 6, 7]]} | {"states": [217, 203], "expectation_value": -0.5571339161264204, "params": [[-0.28340000000000004], [0.2625]], "bitstrings": ["00100110", "00110100"], "total_optimization_steps": 30, "probabilities": [0.007624242670657123, 0.007624242670657125], "optimization_time": 39.03433179855347} | 0.5 * (Z(5) @ Z(7)) + 0.1 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.15 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.15 * (Z(2) @ Z(7)) + 0.03333333333333333 * (Z(2) @ Z(5)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.15 * (Z(2) @ Z(1)) + 0.1 * (Z(3) @ Z(7)) + 0.033333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666659, "smallest_bitstrings": ["00110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.2834) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(-0.0567) q[0];
cx q[7], q[0];
cx q[5], q[0];
rz(-0.2834) q[0];
cx q[5], q[0];
cx q[7], q[1];
rz(-0.085) q[1];
cx q[7], q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [61, 59], "expectation_value": -5.039686247725103, "params": [[[0.0022, 0.0016], [0.0051, -0.0063], [-0.6907, 2.2989], [1.5621, 1.5292000000000001], [0.5873, 1.5284], [2.2968, 0.37410000000000004], [-1.5691000000000002, 1.5665], [0.0025, 1.5751000000000002]]], "bitstrings": ["11000010", "11000100"], "total_o... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0022) q[0];
ry(0.0051) q[1];
ry(-0.6907) q[2];
ry(1.5621) q[3];
ry(0.5873) q[4];
ry(2.2968) q[5];
ry(-1.5691) q[6];
ry(0.0025) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e592ce7faa840b360149bc8638b2e9c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -34.56603027755544, "params": [[[0.0073, 0.0027], [0.0012000000000000001, 0.0026000000000000003], [-0.0066, -0.0028], [0.007500000000000001, 0.0022], [0.0048000000000000004, 0.0022], [0.0051, 0.0021000000000000003], [0.006500000000000001, 0.0019], [0.0056, 0.002400000000000... | -0.5 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(1)) + -1.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + -2.75 * (Z(9) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(6)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-35.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0073) q[0];
ry(0.0012) q[1];
ry(-0.0066) q[2];
ry(0.0075) q[3];
ry(0.0048) q[4];
ry(0.0051) q[5];
ry(0.0065) q[6];
ry(0.0056) q[7];
ry(0.007) q[8];
ry(0.0061) q[9];
ry(1.774) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
3c43fad289ff6d9c1e98931284c05895 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [51, 179], "expectation_value": -4.9006031298686255, "params": [0.6025, 0.0009000000000000001, -0.004200000000000001, -0.26890000000000003, 0.5994, 0.0013000000000000002, 0.6017, 0.0023, 0.004200000000000001, -0.2564, 0.1942, -0.11280000000000001, 0.6, 0.0028, 0.6092000000000001, -0.004200000000000001, 0.608... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6025) q[0];
rz(0.0009) q[0];
rx(-0.0042) q[1];
rz(-0.2689) q[1];
rx(0.5994) q[2];
rz(0.0013) q[2];
rx(0.6017) q[3];
rz(0.0023) q[3];
rx(0.0042) q[4];
rz(-0.2564) q[4];
rx(0.1942) q[5];
rz(-0.1128) q[5];
rx(0.6) q[6];
rz(0.0028) q[6];
rx(0.6092) 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": []} |
0b5f0e96c66f1fe8afca6f37edd06ab2 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [21, 22], "expectation_value": -5.499900322692359, "params": null, "bitstrings": ["1101010", "1101001"], "total_optimization_steps": 30, "probabilities": [1.7187860834351576e-05, 0.9999500705847443], "optimization_time": 38.21472787857056} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(-1.4449) q[6];
ry(1.4417) q[2];
ry(1.4417) q[4];
ry(1.4384) q[5];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[4], q[3];
cry(0.1246) q[4], q[5];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -10.558672701754881, "params": [[0.0517, -0.0088], [-0.054, -0.0204]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.014690513416184579, 0.015093142378734983], "optimization_time": 3.4825973510742188} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["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[1], q[0];
rz(0.3102) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3102) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3102) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3102) q[3];
cx q[1], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
6e27c825b578bdc34d46b278685ce298 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [41, 169], "expectation_value": -22.874367707939538, "params": [[[-0.0026000000000000003, 1.597, 0.0002, 0.0018000000000000002], [0.0029000000000000002, 1.3501, -0.0027, 0.0079], [-0.8296, 1.0113, 0.0055000000000000005, 1.0050000000000001], [0.0063, 1.5343, 0.002, 0.0026000000000000003], [2.0259, -0.00450000... | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 12 | 10 | 2 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0026) q[0];
rz(1.597) q[0];
ry(0.0029) q[1];
rz(1.3501) q[1];
ry(-0.8296) q[2];
rz(1.0113) q[2];
ry(0.0063) q[3];
rz(1.5343) q[3];
ry(2.0259) q[4];
rz(-0.0045) q[4];
ry(0.002) q[5];
rz(1.5123) q[5];
ry(1.5569) q[6];
rz(-0.0023) q[6];
ry(-0.0018) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -44.22549334142625, "params": [[-0.027800000000000002, 0.0038, 0.0029000000000000002, -0.0064], [0.07780000000000001, 0.0786, 0.0639, 0.0516]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.010177855095099553, 0.0124565515752303... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"]} | 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(-0.2502) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2502) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2502) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2502) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
bc0e661f197725267ce5e0973269ca51 | 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": [469, 405], "expectation_value": -120.9518452171742, "params": [[[1.5689000000000002, 0.8669], [0.0555, 0.8703000000000001], [1.3722, 0.16870000000000002], [0.8703000000000001, 0.18710000000000002], [0.6564, 0.2652], [-0.0594, 0.1563], [0.9174, 0.3532], [0.0829, 0.933], [0.0067, 1.4440000000000002], [-0.0048... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 29.5 * Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11001101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5689) q[0];
ry(0.0555) q[1];
ry(1.3722) q[2];
ry(0.8703) q[3];
ry(0.6564) q[4];
ry(-0.0594) q[5];
ry(0.9174) q[6];
ry(0.0829) q[7];
ry(0.0067) q[8];
ry(-0.0048) q[9];
ry(0.0852) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
5352a77ee8029c0a1cc2f13dec084536 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [0, 252], "expectation_value": -6.646064727536553, "params": [0.4811, 0.8280000000000001, 0.34090000000000004, 1.0469, -0.2938, 0.7258, 0.3687, 0.6055, 0.44580000000000003, 0.8508, 0.38730000000000003, 0.9105000000000001, -0.49910000000000004, 1.1954, 0.4277, 1.0603, -0.47740000000000005, 1.1320000000000001,... | -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) | 6 | 8 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000011", "00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4811) q[0];
rz(0.828) q[0];
rx(-0.2938) q[1];
rz(0.7258) q[1];
rx(0.4458) q[2];
rz(0.8508) q[2];
rx(-0.4991) q[3];
rz(1.1954) q[3];
rx(-0.4774) q[4];
rz(1.132) q[4];
rx(-0.4519) q[5];
rz(1.2313) q[5];
rx(0.0998) q[6];
rz(0.9723) q[6];
rx(0.4738) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
-4593296184882121000 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 6], [1, 2, 4, 5, 7], [4, 6], [0, 1, 5, 6, 7], [3, 4, 5, 7], [0, 3, 6, 7], [0, 1, 3, 4, 5], [0, 1, 2, 3, 5], [2, 3, 7], [1, 2, 3, 4, 5], [0, 2, 4, 7]]} | {"states": [211, 217], "expectation_value": -2.6955090169602043, "params": null, "bitstrings": ["00101100", "00100110"], "total_optimization_steps": 42, "probabilities": [0.0568412435392702, 0.9128627280000604], "optimization_time": 58.10403633117676} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.18333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4666666666666677, "smallest_bitstrings": ["00100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5471) q[7];
ry(1.4635) q[1];
ry(0.989) q[3];
cry(-1.0137) q[4], q[6];
ry(0.7538) q[4];
ry(-0.4964) q[6];
cry(0.4954) q[7], q[4];
cry(-0.3743) q[7], q[6];
cry(-0.7919) q[3], q[5];
ry(1.0245) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5471) 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] = measure q[... |
1087628691529607799 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [2, 7], [0, 4], [4, 5], [5, 7], [0, 1], [0, 6]]} | {"states": [23, 151], "expectation_value": -0.38557137087181714, "params": [0.6807000000000001, 0.6851, 0.8068000000000001, 0.8958, 0.5017, 0.49000000000000005, 0.6001000000000001, 0.5431, 0.9016000000000001, 0.9026000000000001, 0.6338, 0.6124, 0.8941, 0.887, 0.8995000000000001, 0.8982, 0.9023, 0.8988, 0.66980000000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101101000", "101001001", "010010111", "010110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6807) q[0];
ry(0.8068) q[1];
ry(0.5017) q[2];
ry(0.6001) q[3];
ry(0.9016) q[4];
ry(0.6338) q[5];
ry(0.8941) q[6];
ry(0.8995) q[7];
ry(0.9023) q[8];
crx(0.6698) q[8], q[0];
crx(0.8887) q[7], q[8];
crx(0.8859) q[6], q[7];
crx(0.8884) q[5], q[6];
crx(-0.4769... | OPENQASM 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": []} |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [94, 93], "expectation_value": -17.52930818743147, "params": [[-0.046900000000000004, 0.013800000000000002, -0.0307], [0.07930000000000001, 0.0239, 0.0514]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.012765421158963432, 0.01710088799803983], "optimization_tim... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3752) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3752) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.3752) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.3752) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
ca80e7bc065a00b914c2c9d06f44ffa1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [1023, 511], "expectation_value": -21.25036093821919, "params": [[[0.0029000000000000002, -0.0054], [0.0027, 0.0027], [0.008, 0.0023], [0.012400000000000001, 0.0024000000000000002], [0.0034000000000000002, 0.0022], [0.006200000000000001, 0.0023], [0.0057, 0.0023], [0.0025, 0.0024000000000000002], [0.0008, 0.... | -0.5 * (Z(0) @ Z(1)) + -1.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0029) q[0];
ry(0.0027) q[1];
ry(0.008) q[2];
ry(0.0124) q[3];
ry(0.0034) q[4];
ry(0.0062) q[5];
ry(0.0057) q[6];
ry(0.0025) q[7];
ry(0.0008) q[8];
ry(1.5736) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
6451792423400178014 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 2, 3], [0, 2, 4, 5], [1, 4], [3, 4]]} | {"states": [11, 53], "expectation_value": -0.017990043785172452, "params": [[0.0543], [-0.044000000000000004]], "bitstrings": ["110100", "001010"], "total_optimization_steps": 10, "probabilities": [0.0160355264873089, 0.016086127591895878], "optimization_time": 1.736361026763916} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0181) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0272) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.009) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0181) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0181)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | vertex_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": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 10.928578615188599} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.1186) q[2], q[0];
cry(-0.0027) q[2], q[3];
cry(-0.0005... | 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(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -1.9596600416048564, "params": [0.8951, -0.3598, 0.8885000000000001, 0.0053, 0.9068, -0.156, 0.9003, 0.0061, -0.0063, 0.5081, -0.0061, 0.0009000000000000001, 0.9025000000000001, -0.1015, 0.9054000000000001, 0.0051, 0.9064000000000001, -0.10160000000000001, 0.9003, 0.00580000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8951) q[0];
rz(-0.3598) q[0];
rx(0.9068) q[1];
rz(-0.156) q[1];
rx(-0.0063) q[2];
rz(0.5081) q[2];
rx(0.9025) q[3];
rz(-0.1015) q[3];
rx(0.9064) q[4];
rz(-0.1016) q[4];
rx(0.9091) q[5];
rz(-0.1019) q[5];
crz(0.1602) q[5], q[4];
crz(0.1596) q[5], q[3];
crz... | OPENQASM 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": []} |
1a9ed9a666e19120fea8169482f67ae7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -20.909077092988547, "params": [[0.0118, -0.0031000000000000003, 0.025400000000000002, 0.0038], [-0.031400000000000004, -0.014100000000000001, -0.0528, -0.0526]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005937413567259163,... | 4.5 * (Z(0) @ Z(1)) + 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(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "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(0.1062) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1062) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.1062) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1062) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [1, 0], "expectation_value": -0.32950594317560505, "params": [[0.0747, 0.0695, 0.0683, 0.0697], [-0.0828, -0.0727, -0.0687, -0.0694]], "bitstrings": ["1110", "1111"], "total_optimization_steps": 10, "probabilities": [0.07463118813597619, 0.09041704421708903], "optimization_time": 5.1982762813568115} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + -0.625 * Z... | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0187) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0187) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0187) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0187) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0187) q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
2133bfe2f16c389d56b638843cb4baa9 | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2804, 2805], "expectation_value": -1.4549733315973117, "params": [[[0.6839000000000001, 0.16640000000000002], [0.2907, 0.19490000000000002], [0.6972, -0.0926], [0.1295, -0.097], [0.6959000000000001, 0.4737], [0.6932, 0.35550000000000004], [0.6944, 0.279], [0.6994, 0.3603], [0.4621, 0.6854], [0.3769, 0.6972]... | 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(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.687... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6839) q[0];
ry(0.2907) q[1];
ry(0.6972) q[2];
ry(0.1295) q[3];
ry(0.6959) q[4];
ry(0.6932) q[5];
ry(0.6944) q[6];
ry(0.6994) q[7];
ry(0.4621) q[8];
ry(0.3769) q[9];
ry(0.5932) q[10];
ry(0.7038) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3739356624238755155 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 4], [0, 3], [3, 4, 7], [5, 7], [1, 4], [0, 6]]} | {"states": [30, 137], "expectation_value": -0.08120281444664058, "params": [[-0.0829], [0.07690000000000001]], "bitstrings": ["11100001", "01110110"], "total_optimization_steps": 10, "probabilities": [0.004574250149922582, 0.004574253476732327], "optimization_time": 0.5695431232452393} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.16666666666666674 * Z(4) + 0.0 * Z(2) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.0829) q[0];
cx q[5], q[0];
cx q[4], q[2];
rz(-0.0829) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(-0.0829) q[3];
cx q[0], q[3];
cx q[4], q[3];
rz(-0.0276) q[3];
cx q[4], 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx... | null | {"circuits": [], "gradients": []} |
70b6be38b1b67e5f49037d70330e01f2 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [391, 2023], "expectation_value": -16.672919999318452, "params": null, "bitstrings": ["11001111000", "00000011000"], "total_optimization_steps": 100, "probabilities": [0.05805398459292, 0.5127057463946811], "optimization_time": 191.13586449623108} | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(3) @ Z(9)) + -2.0 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000011000"]} | 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[10], q[3];
ry(1.0383) q[10];
cry(1.5708) q[3], q[9];
cry(1.5708) q[9], q[8];
cry(-0.8298) q[9], q[3];
ry(-0.1054) q[3];
cry(0.0909) q[8], q[3];
cry(1.2175)... | null | {"node": 4} | {"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[10], 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... |
-7371196275713635875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 8, 9], [0, 1, 3, 6], [1, 2, 4, 6, 8, 9], [0, 2, 4, 6, 9], [0, 4, 6, 7, 8, 9], [9, 3, 4, 6], [2, 3, 5, 7, 8, 9], [1, 2, 7], [9, 2, 4, 7], [0, 4, 5, 6, 7]]} | {"states": [869, 871], "expectation_value": -2.14517066806241, "params": [3.1443000000000003, 0.0038, 3.1391, 0.0035, 0.18100000000000002, 0.0031000000000000003, 3.0157000000000003, 0.009600000000000001, 3.1395, 0.0079, 0.1953, 0.0089, 0.14650000000000002, 0.0067, 3.1436, 0.0097, 1.6397000000000002, 0.00840000000000000... | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666669 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.06666666666666667 * (Z(8) @ Z(0)) + 0.1 * (Z(8) @ Z(... | 3 | 10 | 1 | {"smallest_eigenvalues": [-2.216666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.150000000000001, "smallest_bitstrings": ["0010011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1443) q[0];
rz(0.0038) q[0];
rx(3.1391) q[1];
rz(0.0035) q[1];
rx(0.181) q[2];
rz(0.0031) q[2];
rx(3.0157) q[3];
rz(0.0096) q[3];
rx(3.1395) q[4];
rz(0.0079) q[4];
rx(0.1953) q[5];
rz(0.0089) q[5];
rx(0.1465) q[6];
rz(0.0067) q[6];
rx(3.1436) 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": []} |
cb02c01f35b3eb9d4161bd850dfaa72c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [42325, 43349], "expectation_value": -2.0146591618109126, "params": [0.8857, 0.8258000000000001, 0.3514, 0.3421, 0.3798, 0.3895, -0.0035, 0.007500000000000001, 0.6121, 0.6092000000000001, 0.34890000000000004, 0.3509, -0.0171, 0.0041, 0.3854, 0.3876, -0.012400000000000001, -0.007200000000000001, 0.389, 0.3919... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0212499999999305], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999998705, "smallest_bitstrings": ["0101011010101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.8857) q[0];
ry(0.3514) q[1];
ry(0.3798) q[2];
ry(-0.0035) q[3];
ry(0.6121) q[4];
ry(0.3489) q[5];
ry(-0.0171) q[6];
ry(0.3854) q[7];
ry(-0.0124) q[8];
ry(0.389) q[9];
ry(0.0148) q[10];
ry(0.3922) q[11];
ry(-0.0035) q[12];
ry(0.391) q[13];
ry(0.012) q[14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
47007465d812e52d6cf0f90e500474b2 | 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": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [17, 1], "expectation_value": -5.044853989465366, "params": [[0.08, 0.0743], [-0.0835, -0.0718]], "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013901858848394913, 0.01696857230987285], "optimization_time": 4.0135157108306885} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.2) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.12) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.36) q[6];
cx q[2], q[6];
cx q[0], q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
14573335ed5b867ba544598418a40acb | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 4}, {"capac... | {"states": [5, 1], "expectation_value": -0.4730284039114035, "params": [[-0.0849], [0.0771]], "bitstrings": ["1111111010", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.00154243134468951, 0.0015864452784621137], "optimization_time": 2.849721908569336} | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110", "1111111010"]} | 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[6], q[0];
rz(0.0849) q[0];
cx q[6], q[0];
cx q[6], q[8];
rz(0.0425) q[8];
cx q[6], q[8];
cx q[0], q[8];
rz(0.0849) q[8];
cx q[0], q[8];
cx q[6], q[1];
rz(0.1698) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[6], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
b85bee69825363dbbbe7929bab4cfbbc | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.59216400233839, "params": [-0.0018000000000000002, -0.2421, -0.0063, -0.2758, -0.0012000000000000001, -0.2707, 0.007500000000000001, -0.2856, 0.0008, -0.2897, 0.0043, -0.2686, 0.0034000000000000002, -0.281, 0.0005, -0.21910000000000002, 0.0016, -0.30660000000000004, 0.0046, -... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (... | 5 | 10 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0018) q[0];
rz(-0.2421) q[0];
rx(-0.0012) q[1];
rz(-0.2707) q[1];
rx(0.0008) q[2];
rz(-0.2897) q[2];
rx(0.0034) q[3];
rz(-0.281) q[3];
rx(0.0016) q[4];
rz(-0.3066) q[4];
rx(0.0036) q[5];
rz(-0.2875) q[5];
rx(0.0022) q[6];
rz(-0.3054) q[6];
rx(0.0011) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
6446c2e39f9d792cb9f32c544e2de260 | 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": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -27.172518981027707, "params": [[-0.0392, -0.00030000000000000003, 0.0088], [0.0716, 0.0679, 0.06470000000000001]], "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.008887533233146623, 0.012060896510599725], "optimization_time": 6.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"]} | 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(-0.3528) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3528) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3528) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3528) 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] 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": []} |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.0020529333371594183, "params": [[-0.0122], [0.0064]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.06260653499264536, 0.06263562064846044], "optimization_time": 0.6773791313171387} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "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];
cx q[1], q[0];
rz(0.0061) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0183) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0305) q[3];
cx q[0], q[3];
rz(0.0061) q[1];
rz(0.0061) q[0];
rz(0.0183) q[2];
rz(-0.0305) q[3];
h q[0];
rz(0.0128... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x2) q[3];
cx q[0], q[3];
rz(x0) q[1];
rz(x0)... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
-753582520431897867 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1, 3], [3, 5], [1, 2, 3, 6], [4, 5, 6], [0, 6], [2, 5]]} | {"states": [25, 102], "expectation_value": -0.03687979564362322, "params": [[-0.0568], [0.0582]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008287268390334994, 0.008307289405892622], "optimization_time": 2.1370275020599365} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(-0.0568) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(-0.0189) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0284) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0189) q[1];
cx q[0], q[1];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} |
2102677892830655979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [8, 4], [8, 1], [0, 4, 5], [2, 3, 4], [0, 3], [5, 6, 7], [2, 4, 7], [2, 5, 6], [8, 5, 7], [1, 4, 6], [1, 3, 4]]} | {"states": [472, 474], "expectation_value": -1.281628907920827, "params": [[0.268], [-0.25420000000000004]], "bitstrings": ["000100111", "000100101"], "total_optimization_steps": 30, "probabilities": [0.00586122960513425, 0.006126711219258908], "optimization_time": 3.8537228107452393} | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(0.268) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.1787) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0893) q[5];
cx q[3], q[5];
cx q[4], q[8];
rz(0.268) q[8];
cx q[4], q[8];
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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x1) q[5... | null | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [31467, 27371], "expectation_value": -9.023439204902772, "params": [1.56, 0.0016, 1.5648, 0.001, 1.6740000000000002, -0.0012000000000000001, 1.4641000000000002, -0.0036000000000000003, 0.8207, 0.5799000000000001, 0.8133, 0.0014, 1.7399, -0.0627, 1.4077000000000002, -0.040400000000000005, 0.3925, 0.0029000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 8 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999968, "smallest_bitstrings": ["001010100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.56) q[0];
rz(0.0016) q[0];
rx(1.674) q[1];
rz(-0.0012) q[1];
rx(0.8207) q[2];
rz(0.5799) q[2];
rx(1.7399) q[3];
rz(-0.0627) q[3];
rx(0.3925) q[4];
rz(0.0029) q[4];
rx(1.5985) q[5];
rz(0.0029) q[5];
rx(0.0926) q[6];
rz(0.1935) q[6];
rx(2.0289) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
e95c8bc22a5c03425fc32d877756198b | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [490, 426], "expectation_value": -2.7965763236531296, "params": [0.39180000000000004, 0.39080000000000004, 0.39490000000000003, 0.393, 0.0994, 0.10490000000000001, 0.2977, 0.2997, 0.0012000000000000001, 0.009600000000000001, 0.34090000000000004, 0.33690000000000003, 0.0164, 0.0187, 0.3768, 0.3766, 0.0135, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 14 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.125, "smallest_bitstrings": ["000110101", "001110100", "110001010", "010010011", "000110110", "001011100", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3918) q[0];
ry(0.3949) q[1];
ry(0.0994) q[2];
ry(0.2977) q[3];
ry(0.0012) q[4];
ry(0.3409) q[5];
ry(0.0164) q[6];
ry(0.3768) q[7];
ry(0.0135) q[8];
crx(0.0308) q[8], q[0];
crx(-0.1351) q[7], q[8];
crx(-0.2444) q[6], q[7];
crx(-0.0224) q[5], q[6];
crx(0.27... | 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": []} |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 42], "expectation_value": -0.7661238985358906, "params": [[0.0694, 0.0758, 0.0604, 0.067], [-0.0682, -0.0813, -0.059000000000000004, -0.054200000000000005]], "bitstrings": ["010110", "010101"], "total_optimization_steps": 10, "probabilities": [0.027848412338984496, 0.02904049505053637], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0694) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0694) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0694) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.0694) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0694... | OPENQASM 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": []} |
04fe200220cb0278b572d83172c75de9 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [0, 1], "expectation_value": -7.818580240058754, "params": [0.0027, 0.2697, 0.0001, -0.25120000000000003, 0.0024000000000000002, -0.3055, 0.004, 0.2936, 0.3235, -0.0712, -0.001, -0.2232, 0.4033, 0.0073, 0.0025, 0.27190000000000003, 0.0054, -0.3, 0.0046, -0.2995, 0.0023, 0.3059, 0.3255, -0.054200000000000005,... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0027) q[0];
rz(0.2697) q[0];
rx(0.0001) q[1];
rz(-0.2512) q[1];
rx(0.0024) q[2];
rz(-0.3055) q[2];
rx(0.004) q[3];
rz(0.2936) q[3];
rx(0.3235) q[4];
rz(-0.0712) q[4];
rx(-0.001) q[5];
rz(-0.2232) q[5];
rx(0.4033) q[6];
rz(0.0073) q[6];
crz(0.0073) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a4aacd73b9b0c82c39930910b1e5d129 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [504, 4088], "expectation_value": -17.13143801469669, "params": [[[-0.0026000000000000003, 0.009000000000000001], [-0.0027, 0.0053], [1.5007000000000001, 0.0032], [0.002, 0.0043], [1.4739, 0.0091], [-0.002, 0.0073], [-0.0022, 0.0058000000000000005], [0.0019, 0.008], [1.7028, 0.0077], [-0.0029000000000000002,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z... | 2 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0026) q[0];
rz(0.009) q[0];
rx(-0.0027) q[1];
rz(0.0053) q[1];
rx(1.5007) q[2];
rz(0.0032) q[2];
rx(0.002) q[3];
rz(0.0043) q[3];
rx(1.4739) q[4];
rz(0.0091) q[4];
rx(-0.002) q[5];
rz(0.0073) q[5];
rx(-0.0022) q[6];
rz(0.0058) q[6];
rx(0.0019) 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": 11} | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 10.155762672424316} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.497) q[3], q[0];
cry(-0.3761) q[3], q[5];
cry(0.2474) q[1], q[0];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
17debd478fb0eb69318abace866be76c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 2, "target": 1}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -8.779352749753437, "params": [[[0.0031000000000000003, 0.005], [0.0023, 0.0037], [0.0022, 0.0082], [0.0023, 0.0051], [0.0024000000000000002, 0.001], [0.0026000000000000003, 0.0097], [-0.0027, 0.0091], [1.1912, 0.0033], [1.6002, 0.0041]]], "bitstrings": ["111111111", "111111110"]... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -2.75 * Z(6) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.75, "smallest_bitstrings": ["111111110", "111111100", "111110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0031) q[0];
rz(0.005) q[0];
rx(0.0023) q[1];
rz(0.0037) q[1];
rx(0.0022) q[2];
rz(0.0082) q[2];
rx(0.0023) q[3];
rz(0.0051) q[3];
rx(0.0024) q[4];
rz(0.001) q[4];
rx(0.0026) q[5];
rz(0.0097) q[5];
rx(-0.0027) q[6];
rz(0.0091) q[6];
rx(1.1912) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-6760990501438194696 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 5, 7, 8, 9, 10, 11], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 2, 3, 4, 5, 6, 7], [1, 2, 5, 6, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 5, 6, 7, 11]]} | {"states": [3991, 4007], "expectation_value": -1.0213263626269125, "params": [1.5756000000000001, 1.6023, 1.5821, 1.5647, 1.5713000000000001, 1.5653000000000001, 1.5781, 1.568, 1.5897000000000001, 1.5470000000000002, -0.0025, -0.0025, 1.6427, 0.26080000000000003, 1.568, 1.568, 0.0018000000000000002, 0.00180000000000000... | 0.0202020202020202 * (Z(0) @ Z(1)) + 0.05277777777777778 * (Z(2) @ Z(1)) + 0.03492063492063492 * (Z(2) @ Z(0)) + 0.038059163059163056 * (Z(3) @ Z(1)) + 0.04401154401154401 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.061868686868686865 * (Z(5) @ Z(1)) + 0.04401154401154401 * (Z(5) @ Z(0)) + 0.0904761904761... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0453823953823953, "smallest_bitstrings": ["000001011000", "000101001000", "000101000100", "000101000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5756) q[0];
ry(1.5821) q[1];
ry(1.5713) q[2];
ry(1.5781) q[3];
ry(1.5897) q[4];
ry(-0.0025) q[5];
ry(1.6427) q[6];
ry(1.568) q[7];
ry(0.0018) q[8];
ry(1.5812) q[9];
ry(1.5753) q[10];
ry(1.5689) q[11];
crz(0.0027) q[11], q[0];
crz(-0.002) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.3210426198852179, "params": [[-0.06620000000000001, -0.0502, -0.057800000000000004], [0.0814, 0.0714, 0.07200000000000001]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.011392899554105683, 0.013219288728608605], "optimization_ti... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | 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(-0.0331) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0331) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0331) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0331) q[0];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
f3a1e6b2b1212adc99805f9c0a30f517 | 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": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [224, 240], "expectation_value": -2.8344892591746014, "params": [1.2978, -0.0016, 1.3121, 0.0039000000000000003, 1.308, -0.0006000000000000001, 1.3026, -0.3684, 1.1279000000000001, -0.0014, 1.3028, 0.003, 0.6993, -0.012100000000000001, -0.0151, 0.0089, 1.2944, 1.2955, 1.292, -0.19160000000000002, 1.2781, 1.2... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -1.0 * Z(3) + 0.0 * Z(5) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "00001111", "01110001", "00110011", "00100111", "00011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2978) q[0];
rz(-0.0016) q[0];
rx(1.3121) q[1];
rz(0.0039) q[1];
rx(1.308) q[2];
rz(-0.0006) q[2];
rx(1.3026) q[3];
rz(-0.3684) q[3];
rx(1.1279) q[4];
rz(-0.0014) q[4];
rx(1.3028) q[5];
rz(0.003) q[5];
rx(0.6993) q[6];
rz(-0.0121) q[6];
rx(-0.0151) 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": []} |
1709095136500400550 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [317, 430], "expectation_value": -0.5552682724836941, "params": [[0.17700000000000002], [-0.1637]], "bitstrings": ["011000010", "001010001"], "total_optimization_steps": 20, "probabilities": [0.0026867942860653235, 0.0027019773586771188], "optimization_time": 7.543900489807129} | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.0531) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0413) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0708) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(0.0531) q[7];
cx q[3], 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": []} |
1193544933331346 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 6], [2, 4], [3, 5, 6], [0, 2, 6]]} | {"states": [81, 25], "expectation_value": -2.06842793718313, "params": null, "bitstrings": ["0101110", "1100110"], "total_optimization_steps": 37, "probabilities": [0.05866562823437644, 0.8337161946122748], "optimization_time": 41.794737339019775} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(3)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.2292) q[6];
cry(-1.4328) q[6], q[1];
cry(-1.0342) q[2], q[4];
ry(0.7191) q[2];
cry(-1.1437) q[3], q[0];
ry(0.7527) q[3];
ry(-0.5113) q[0];
cry(0.4939) q[6], q[3];
ry(-0.4711) q[4];
cry(0.5688) q[6], ... | 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(1.2292) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-2845502876359147798 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5, 0], [1, 4], [8, 6], [0, 2, 6, 7], [2, 3], [0, 4], [3, 6], [4, 6, 7], [4, 5, 6], [8, 3, 4], [3, 5], [2, 5], [8, 0, 3, 7], [0, 1, 2], [0, 1, 7]]} | {"states": [428, 427], "expectation_value": -1.3698454450961866, "params": [[-0.2705], [0.268]], "bitstrings": ["001010011", "001010100"], "total_optimization_steps": 30, "probabilities": [0.005887608506290155, 0.0061052748755554935], "optimization_time": 5.378257513046265} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.250000000000001, "smallest_bitstrings": ["001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.0451) q[8];
cx q[1], q[8];
cx q[1], q[5];
rz(-0.0451) q[5];
cx q[1], q[5];
cx q[8], q[5];
rz(-0.0451) q[5];
cx q[8], q[5];
cx q[1], q[0];
rz(-0.2254) q[0];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | null | {"circuits": [], "gradients": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [9, 8], "expectation_value": -0.15911364746201456, "params": [[-0.006900000000000001, -0.037200000000000004, -0.044500000000000005, -0.0651], [-0.047900000000000005, 0.0201, 0.0419, 0.0591]], "bitstrings": ["10110", "10111"], "total_optimization_steps": 10, "probabilities": [0.03547287978614408, 0.0372638656... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"]} | 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(-0.0069) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0017) q[2];
cx q[1], q[2];
cx q[4], q[1];
rz(-0.0017) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.0017) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(-0.0017) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | 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": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [78, 110], "expectation_value": -1.4169048225886833, "params": [0.29650000000000004, 0.1063, 0.5051, 0.0723, 0.49450000000000005, 0.04, -0.0017000000000000001, 0.3352, 0.5073, 0.0094, 0.4983, 0.0064, 0.4998, 0.0178, 0.21180000000000002, 0.26330000000000003, 0.2947, 0.1062, 0.504, 0.0713, 0.49300000000000005,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2965) q[0];
rz(0.1063) q[0];
rx(0.5051) q[1];
rz(0.0723) q[1];
rx(0.4945) q[2];
rz(0.04) q[2];
rx(-0.0017) q[3];
rz(0.3352) q[3];
rx(0.5073) q[4];
rz(0.0094) q[4];
rx(0.4983) q[5];
rz(0.0064) q[5];
rx(0.4998) q[6];
rz(0.0178) q[6];
rx(0.2118) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7066780620356999350 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[4, 7], [1, 2, 3, 10, 12], [0, 2, 7, 9, 11], [10, 5], [5, 6], [8, 1]]} | {"states": [3755, 2731], "expectation_value": -2.3452322382063553, "params": [[[-0.0021000000000000003, 0.0097, 0.0056, 0.009000000000000001], [1.0501, -0.0027, 1.0501, 0.0068000000000000005], [1.5972000000000002, 0.008, 0.002, 0.006200000000000001], [0.4665, 0.0037, 1.4500000000000002, 0.003], [-0.0025, 0.0099, 0.006,... | 0.5 * (Z(4) @ Z(7)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(10) @ Z(2)) + 0.05 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @ Z(1)) + 0.05 * (Z(12) @ Z(3)) + 0.05 * (Z(12) @ Z(10)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.40000000000... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0021) q[0];
rz(0.0097) q[0];
ry(1.0501) q[1];
rz(-0.0027) q[1];
ry(1.5972) q[2];
rz(0.008) q[2];
ry(0.4665) q[3];
rz(0.0037) q[3];
ry(-0.0025) q[4];
rz(0.0099) q[4];
ry(1.0539) q[5];
rz(0.002) q[5];
ry(0.0028) q[6];
rz(0.0083) q[6];
ry(1.05) 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": []} |
7a43ef6d49c93e460e1d835c9d0a952d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -12.783611423720943, "params": [[[0.0005, -0.4169], [-0.0026000000000000003, 0.0022], [0.0001, -0.0022], [0.0009000000000000001, -0.0018000000000000002], [-0.0025, -0.0014], [-0.0024000000000000002, -0.0015], [-0.0022, 0.0028], [-0.0031000000000000003, -0.001800000000000000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 2.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -0.75 * (Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["10000000000", "10010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0005) q[0];
ry(-0.0026) q[1];
ry(0.0001) q[2];
ry(0.0009) q[3];
ry(-0.0025) q[4];
ry(-0.0024) q[5];
ry(-0.0022) q[6];
ry(-0.0031) q[7];
ry(-0.0032) q[8];
ry(-0.457) q[9];
ry(-0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
497ee7bf44af41c8b30000bed1ee6591 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [82, 37], "expectation_value": -0.28755169339009057, "params": [[0.0679], [-0.0517]], "bitstrings": ["0101101", "1011010"], "total_optimization_steps": 10, "probabilities": [0.008641642980366246, 0.008775929063442208], "optimization_time": 1.7735774517059326} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"]} | 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(0.0679) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0679) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0679) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0679) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [345, 377], "expectation_value": -1.0452858889114542, "params": [0.6935, 0.1461, 0.265, 0.2667, 0.6868000000000001, -0.07300000000000001, 0.4933, -0.0349, 0.5145000000000001, 0.0296, 0.6984, 0.10360000000000001, 0.23570000000000002, 0.2523, 0.23850000000000002, 0.2738, 0.5023, 0.0911, 0.6905, 0.1673, 0.256, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 9 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6935) q[0];
rz(0.1461) q[0];
rx(0.265) q[1];
rz(0.2667) q[1];
rx(0.6868) q[2];
rz(-0.073) q[2];
rx(0.4933) q[3];
rz(-0.0349) q[3];
rx(0.5145) q[4];
rz(0.0296) q[4];
rx(0.6984) q[5];
rz(0.1036) q[5];
rx(0.2357) q[6];
rz(0.2523) q[6];
rx(0.2385) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [254, 63], "expectation_value": -12.291655159948053, "params": null, "bitstrings": ["00000001", "11000000"], "total_optimization_steps": 82, "probabilities": [0.13192227736430162, 0.8209440526583788], "optimization_time": 116.64676332473755} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[6];
cry(-1.5708) q[7], q[0];
ry(1.0383) q[7];
cry(-1.5708) q[7], q[1];
cry(-0.4375) q[6], q[0];
ry(1.5708) q[5];
ry(1.5708) q[3];
cry(0.1664) q[3], q[7];
ry(1.5594) q[2];
cry(1.3526) ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-1715687755515101490 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 4, 6, 7, 8, 9, 10], [0, 1, 4, 5, 7, 9, 10], [0, 3, 4, 8, 9, 10], [2, 3, 5, 6, 7], [0, 1, 2, 3, 4, 5, 7, 10], [0, 1, 5, 8, 9], [0, 2, 3, 5, 7, 8, 10], [0, 3, 4, 5, 8], [1, 3, 5, 9, 10], [9, 5, 6], [2, 4, 5, 8, 10], [1, 4, 5, 7, 8], [0, 1, 2, 3, 4, 7,... | {"states": [1506, 1514], "expectation_value": -2.5245350437521044, "params": [[[2.8622, 0.0033], [1.3163, 0.0089], [2.9362, 0.0034000000000000002], [2.2657000000000003, 0.007200000000000001], [2.9288000000000003, 0.0015], [2.9288000000000003, 0.0043], [1.2528000000000001, 0.0028], [1.6188, 0.007200000000000001], [1.250... | 0.12936507936507935 * (Z(0) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(1)) + 0.12936507936507935 * (Z(2) @ Z(0)) + 0.16269841269841268 * (Z(4) @ Z(1)) + 0.1626984126984127 * (Z(4) @ Z(0)) + 0.17222222222222222 * (Z(4) @ Z(2)) + 0.013888888888888888 * (Z(6) @ Z(1)) + 0.06388888888888888 * (Z(6) @ Z(0)) + 0.14722222222222... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.1944444444444438], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.154761904761905, "smallest_bitstrings": ["01000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.8622) q[0];
rz(0.0033) q[0];
rx(1.3163) q[1];
rz(0.0089) q[1];
rx(2.9362) q[2];
rz(0.0034) q[2];
rx(2.2657) q[3];
rz(0.0072) q[3];
rx(2.9288) q[4];
rz(0.0015) q[4];
rx(2.9288) q[5];
rz(0.0043) q[5];
rx(1.2528) q[6];
rz(0.0028) q[6];
rx(1.6188) 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": []} |
9050827945308795008 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[5, 6], [10, 3], [3, 7], [9, 12], [0, 2], [1, 7], [3, 4], [8, 10], [10, 11]]} | {"states": [5174, 5173], "expectation_value": -1.7319581695821593, "params": [[[1.5678, 0.0091], [0.8246, 0.8141], [1.9499000000000002, 0.4968], [-1.4512, 1.5116], [-0.273, 1.5263], [0.8767, 0.1689], [0.3534, -0.0688], [1.5682, 1.5678], [1.568, -0.41700000000000004], [1.5678, 1.5692000000000002], [1.5677, 0.78470000000... | 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(4) + 0.0 * Z(12) + 0.0 * Z(5) + 0.0 * Z(0) +... | 15 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010000101101", "0101011001011", "0101011010011", "0101111001010", "1101101001010", "1101001001011", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5678) q[0];
ry(0.8246) q[1];
ry(1.9499) q[2];
ry(-1.4512) q[3];
ry(-0.273) q[4];
ry(0.8767) q[5];
ry(0.3534) q[6];
ry(1.5682) q[7];
ry(1.568) q[8];
ry(1.5678) q[9];
ry(1.5677) q[10];
ry(1.5681) q[11];
ry(1.569) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 5], "expectation_value": -0.1667714903262516, "params": [[0.0733, 0.0669], [-0.063, -0.0534]], "bitstrings": ["110101", "111010"], "total_optimization_steps": 10, "probabilities": [0.018051545670558243, 0.018678005008429446], "optimization_time": 5.049201011657715} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0367) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0367) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0367) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [97, 35], "expectation_value": -0.25583306483509394, "params": [[-0.08360000000000001], [0.078]], "bitstrings": ["0011110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.008977827818704954, 0.008977827818704957], "optimization_time": 2.518160104751587} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1010110", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0836) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0836) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0836) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0836) q[5];
cx q[3], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [21, 42], "expectation_value": -0.501699992497754, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.0687, -0.0511, -0.0492]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.025343565328702355, 0.025343565328702366], "optimization_time": 3.227713108062744} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0722) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0722) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0722) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0722) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.0722... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [12, 3], "expectation_value": -1.664844682693842, "params": [[0.0663, 0.0763, 0.07440000000000001, 0.07970000000000001], [-0.0388, -0.059800000000000006, -0.058, -0.0655]], "bitstrings": ["110011", "111100"], "total_optimization_steps": 10, "probabilities": [0.031905436033428346, 0.03196928315772682], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * 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": ["111100", "101101", "111001", "110011", "100111"]} | 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(0.0663) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0663) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0663) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0663) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0663... | OPENQASM 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": []} |
18eef7556e7c99f2056daf5370482c12 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -21.97688729015399, "params": [[-0.0262, -0.00030000000000000003], [0.06910000000000001, 0.0665]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005232289365021164, 0.006550433571416631], "optimization_time": 3.5658302307128906} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2358) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2358) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2358) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2358) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -4.227092711501436, "params": [[0.14300000000000002, 0.1345], [-0.1413, -0.1418]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 20, "probabilities": [0.06354116522835711, 0.08090176547622775], "optimization_time": 2.3756906986236572} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0715) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.286) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.3575) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.2145) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
9a44f437194a4879d426f5b6a5686299 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -23.13645609781897, "params": null, "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 85, "probabilities": [0.10998425517769823, 0.6193304682934831], "optimization_time": 184.50713849067688} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[1];
ry(-0.2982) q[4];
ry(-0.9561) q[0];
cry(-1.2721) q[6], q[4];
cry(-0.7941) q[7], q[1];
cry(-1.5708) q[5], q[3];
ry(1.0487) q[5];
cry(-1.5708) q[7], q[2];
ry(0.8819) q[7];
cry(-0.6... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[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... |
6690751951513120574 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 4], [1, 4, 5, 6], [0, 2, 6, 7], [1, 3]]} | {"states": [959, 950], "expectation_value": -0.32753327134503973, "params": [0.8008000000000001, 0.0063, 0.7917000000000001, 0.0024000000000000002, 0.8077000000000001, 0.0165, 0.8048000000000001, 0.006, 0.8021, -0.012100000000000001, 0.7913, 0.0037, 0.7867000000000001, -0.1627, 0.3734, 0.0074, 0.8001, 0.016300000000000... | 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["0001010101", "0001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8008) q[0];
rz(0.0063) q[0];
rx(0.8077) q[1];
rz(0.0165) q[1];
rx(0.8021) q[2];
rz(-0.0121) q[2];
rx(0.7867) q[3];
rz(-0.1627) q[3];
rx(0.8001) q[4];
rz(0.0163) q[4];
rx(0.794) q[5];
rz(0.0081) q[5];
rx(0.8017) q[6];
rz(0.0208) q[6];
rx(0.7985) 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": []} |
8a79729557c7d60966caddd458db4825 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [66, 162], "expectation_value": -5.038477779098509, "params": [[0.4706, 0.2793, 0.5004000000000001, 0.001, -0.0129, -0.0316, 0.5058, 0.004200000000000001], [0.4768, 0.28240000000000004, 0.5004000000000001, 0.0022, 0.004, -0.017400000000000002, 0.5052, 0.0018000000000000002], [0.49420000000000003, 0.281900000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["01111100", "10110011", "00111101", "11110010", "01011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4706) q[0];
ry(0.2793) q[1];
ry(0.5004) q[2];
ry(0.001) q[3];
ry(-0.0129) q[4];
ry(-0.0316) q[5];
ry(0.5058) q[6];
ry(0.0042) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6acf208e4a7576448df3aac23e7aee84 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [697, 689], "expectation_value": -86.61695564911865, "params": [[[1.0252000000000001, -0.0008], [0.7786000000000001, 0.0024000000000000002], [0.067, -0.0032], [0.8429000000000001, 0.0056], [0.0024000000000000002, -0.0013000000000000002], [0.5915, 0.7862], [0.32270000000000004, 0.5579000000000001], [0.618, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(9) @ Z(10)) + 5.0 * Z(0) + 6.5 * Z(1) + 9.5 * Z(3) + -1.5 * Z(2) + 4.0 * Z(4) + 16.5 * Z(5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0252) q[0];
ry(0.7786) q[1];
ry(0.067) q[2];
ry(0.8429) q[3];
ry(0.0024) q[4];
ry(0.5915) q[5];
ry(0.3227) q[6];
ry(0.618) q[7];
ry(0.091) q[8];
ry(0.1963) q[9];
ry(1.1059) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9c2f02be2c499f1518832ddbbd315206 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [5, 69], "expectation_value": -2.0304835054282946, "params": [1.6483, 0.006200000000000001, 1.4359000000000002, 0.003, 1.3755000000000002, 0.0027, 0.003, 0.0081, 1.7114, 0.0039000000000000003, 1.4846000000000001, 0.0034000000000000002, 1.7546000000000002, 0.0037, 0.009600000000000001, 0.0014, 0.0087000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 3 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6483) q[0];
rz(0.0062) q[0];
rx(1.4359) q[1];
rz(0.003) q[1];
rx(1.3755) q[2];
rz(0.0027) q[2];
rx(0.003) q[3];
rz(0.0081) q[3];
rx(1.7114) q[4];
rz(0.0039) q[4];
rx(1.4846) q[5];
rz(0.0034) q[5];
rx(1.7546) q[6];
rz(0.0037) q[6];
crz(0.0052) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 22.065721035003662} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"]} | 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[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
cry(-1.0343) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[1], q[4];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c5246f6903959b9335845edf46fbf2a2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [137, 141], "expectation_value": -2.513627516192834, "params": [0.4005, -0.001, 0.40090000000000003, 0.0024000000000000002, 0.0541, 0.20980000000000001, 0.0499, 0.20470000000000002, 0.0623, 0.1962, 0.060700000000000004, 0.2018, 0.3839, 0.0166, 0.38530000000000003, 0.008700000000000001, 0.40030000000000004, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(7) + -0.5 * Z(3) + 0.0 * Z(5) | 7 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110010", "01100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4005) q[0];
rz(-0.001) q[0];
rx(0.0541) q[1];
rz(0.2098) q[1];
rx(0.0623) q[2];
rz(0.1962) q[2];
rx(0.3839) q[3];
rz(0.0166) q[3];
rx(0.4003) q[4];
rz(0.0043) q[4];
rx(0.397) q[5];
rz(-0.0026) q[5];
rx(0.0549) q[6];
rz(0.1903) q[6];
rx(0.4056) 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": []} |
ed01866ce53def5a36a69737a2fd120b | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.32993417382571444, "params": [[0.0689, 0.059000000000000004], [-0.075, -0.0568]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.0056352788637090015, 0.005641784121220578], "optimization_time": 2.922234296798706} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0345) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0345) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0689) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(-0.0345) q[7];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a20be77afa1a8b9b75f27972fb6e9517 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.51061134322379, "params": [-0.0027, 2.2817000000000003, 1.5688, 0.0059, -0.0025, 2.4130000000000003, -0.0027, 0.6295000000000001, 1.5728, 0.49610000000000004, -0.0025, 2.4025000000000003, -0.7965, 2.0968, 1.5735000000000001, 0.0021000000000000003, -0.0027, 0.0004, 1.5694000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(2.2817) q[0];
rx(1.5688) q[1];
rz(0.0059) q[1];
rx(-0.0025) q[2];
rz(2.413) q[2];
rx(-0.0027) q[3];
rz(0.6295) q[3];
rx(1.5728) q[4];
rz(0.4961) q[4];
rx(-0.0025) q[5];
rz(2.4025) q[5];
rx(-0.7965) q[6];
rz(2.0968) q[6];
rx(1.5735) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
78fa1de4f4a21ed4fe88b300377e8f4a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [166, 230], "expectation_value": -0.9093055631648557, "params": [0.0026000000000000003, 0.0023, 1.6032000000000002, 0.0095, 1.5997000000000001, 0.0025, 1.6083, 0.0026000000000000003, 0.9953000000000001, 0.0083, 1.2686, 0.0043, 1.6083, 0.0055000000000000005, 1.6107, 0.0068000000000000005, 0.9952000000000001, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010010", "100011010", "100011001", "110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0026) q[0];
rz(0.0023) q[0];
rx(1.6032) q[1];
rz(0.0095) q[1];
rx(1.5997) q[2];
rz(0.0025) q[2];
rx(1.6083) q[3];
rz(0.0026) q[3];
rx(0.9953) q[4];
rz(0.0083) q[4];
rx(1.2686) q[5];
rz(0.0043) q[5];
rx(1.6083) q[6];
rz(0.0055) q[6];
rx(1.6107) 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": []} |
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