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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
74f3db266dbfc29b2e3165b97e91cad0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [31, 11], "expectation_value": -6.907215917958655, "params": [[0.023, 0.1087, 0.0713, -0.0287], [-0.025400000000000002, -0.1353, -0.1433, -0.0981]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 20, "probabilities": [0.054454184408534556, 0.062109748509870985], "optimization_time": 7.7391... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | 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(-0.069) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0115) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0575) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0575) q[4];
cx q[0], q[4];
cx q[2], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [47, 127], "expectation_value": -11.53331067575609, "params": null, "bitstrings": ["11010000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.06277200153905405, 0.5103310153946397], "optimization_time": 196.03351879119873} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[1];
cry(1.5708) q[4], q[6];
cry(1.5708) q[6], q[2];
cry(1.1767) q[2], q[4];
cry(0.0768) q[2], q[6];
cry(-1.1728) q[2], q[1];
cry(-0.0354) q[4], q[1];
cry(0.0293) q[6], q[1];
cry(1.438... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[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[... |
b0b269dd9f10ed56ad7d2febbade41b5 | 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": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -26.537954370026203, "params": [[[0.0027, 3.1593], [0.0018000000000000002, 0.0025], [0.002, 0.0019], [-1.6496000000000002, 0.0031000000000000003], [0.0023, 0.0029000000000000002], [0.0029000000000000002, -0.003], [0.002, 0.0023], [0.002, 0.002], [0.0022, 0.002], [-0.002, 0.... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + -2.0 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(9... | 15 | 12 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["000100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0027) q[0];
ry(0.0018) q[1];
ry(0.002) q[2];
ry(-1.6496) q[3];
ry(0.0023) q[4];
ry(0.0029) q[5];
ry(0.002) q[6];
ry(0.002) q[7];
ry(0.0022) q[8];
ry(-0.002) q[9];
ry(0.003) q[10];
ry(0.0027) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"node": 11} | {"circuits": [], "gradients": []} |
43394c53dfb2330b91be2546dd95fd1a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -17.551618990043423, "params": [[[0.009000000000000001, -0.6041000000000001], [0.0031000000000000003, -0.0056], [0.0026000000000000003, -0.0028], [0.0027, 0.0031000000000000003], [0.0019, 0.0033], [0.0027, 0.0023], [0.0028, -0.0018000000000000002], [-0.0114, 0.0006000000000... | -0.5 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + 1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -1.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.009) q[0];
ry(0.0031) q[1];
ry(0.0026) q[2];
ry(0.0027) q[3];
ry(0.0019) q[4];
ry(0.0027) q[5];
ry(0.0028) q[6];
ry(-0.0114) q[7];
ry(0.0033) q[8];
ry(0.003) q[9];
ry(-0.633) q[10];
ry(0.0041) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 5.966273784637451} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[1];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.0027) q[2], q[1];
cry(0.0284... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
c27e04a1b516da945dec2e0c25bb156f | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.81455359447523, "params": [0.0025, -0.32930000000000004, 0.0009000000000000001, -0.2954, 0.2053, 0.0159, 0.2119, -0.0246, 0.002, -0.3628, -0.004, -0.3673, 0.0007, -0.3422, -0.0051, -0.374, 0.00030000000000000003, -0.3738, -0.0022, -0.3738, 0.0028, -0.3209, -0.0046, -0.3708,... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0025) q[0];
rz(-0.3293) q[0];
rx(0.2053) q[1];
rz(0.0159) q[1];
rx(0.002) q[2];
rz(-0.3628) q[2];
rx(0.0007) q[3];
rz(-0.3422) q[3];
rx(0.0003) q[4];
rz(-0.3738) q[4];
rx(0.0028) q[5];
rz(-0.3209) q[5];
rx(0.0016) q[6];
rz(-0.3626) q[6];
rx(0.0043) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 25.285233736038208} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "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];
ry(-1.5708) q[4];
cry(-1.5708) q[5], q[0];
ry(1.148) q[5];
ry(-0.6079) q[0];
cry(1.5707) q[1], q[3];
ry(1.056) q[1];
ry(0.48) q[3];
cry(0.3875) q[3], q[1];
cry(0.3392) q[1], q[5];
cry(-0.1428) q[1], q[0];
ry(-1.0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
d5ee8b2e173ab9edafa5d0bd83acdd0b | 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": [123, 107], "expectation_value": -75.38138482362528, "params": [0.3829, 0.3529, 0.0007, -0.5393, 0.998, -0.0026000000000000003, 0.992, 0.1222, 0.5549000000000001, 0.299, 1.0035, 0.2214, 0.0023, 0.6275000000000001, 0.9954000000000001, 0.0026000000000000003, 0.9902000000000001, 0.2061, 0.3821, 0.2797, 0.0054, ... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(0)) + 5.5 * (Z(8) @ Z(7)) + 24.0 * Z(2) + 7.0 * Z(0) + 14.0 * Z(3) + -3.0 * Z(1) + 1... | 18 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3829) q[0];
rz(0.3529) q[0];
rx(0.0007) q[1];
rz(-0.5393) q[1];
rx(0.998) q[2];
rz(-0.0026) q[2];
rx(0.992) q[3];
rz(0.1222) q[3];
rx(0.5549) q[4];
rz(0.299) q[4];
rx(1.0035) q[5];
rz(0.2214) q[5];
rx(0.0023) q[6];
rz(0.6275) q[6];
rx(0.9954) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
affcf84ce84c6bb13f89055c476c1de6 | 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": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target":... | {"states": [34, 994], "expectation_value": -13.543428521426067, "params": [-0.0029000000000000002, 0.5812, -0.003, 0.00030000000000000003, -0.9464, 2.7161, -0.10980000000000001, 0.0009000000000000001, -1.4609, 2.5646, 0.7766000000000001, 0.0098, 0.56, 2.1047000000000002, -0.161, 0.0056, -0.6766, 2.2959, 0.1372000000000... | -1.0 * (Z(0) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(1) @ Z(7)) + 1.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(10) @ Z(6)) + -1.5 * (Z(10) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0029) q[0];
rz(0.5812) q[0];
rx(-0.9464) q[1];
rz(2.7161) q[1];
rx(-1.4609) q[2];
rz(2.5646) q[2];
rx(0.56) q[3];
rz(2.1047) q[3];
rx(-0.6766) q[4];
rz(2.2959) q[4];
rx(0.0729) q[5];
rz(-0.3294) q[5];
rx(-0.0031) q[6];
rz(3.1219) q[6];
rx(-0.003) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 89.51372766494751} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[6];
ry(1.5709) q[5];
cry(1.5708) q[6], q[7];
cry(-1.5708) q[7], q[0];
cry(-1.5708) q[5], q[2];
cry(-1.2886) q[5], q[1];
ry(-0.0628) q[1];
cry(-1.1102) q[7], q[6];
cry(0.007) q[5], q[6... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5656897463763334713 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5, 6], [0, 2, 4, 5, 6], [3, 4, 5, 6], [2, 3, 4, 5], [0, 1, 4, 5]]} | {"states": [55, 125], "expectation_value": -0.7354506535044303, "params": [[0.4677], [-0.44880000000000003]], "bitstrings": ["1001000", "0000010"], "total_optimization_steps": 50, "probabilities": [0.018677837177709638, 0.020878516927947042], "optimization_time": 2.8467841148376465} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2, -1.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0000010", "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[2];
rz(0.1559) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.2339) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0.2027) q[5];
cx q[2], q[5];
cx q[3], q[6];
rz(0.1559) q[6];
cx q[3], q[6];
cx q[2], q[6];
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] 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": []} |
96305340bd3434ff7165509b49e3aa98 | 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": 6}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [96, 84], "expectation_value": -2.7664413844439992, "params": [[[0.6791, -0.0137, 0.0007, 0.0023], [0.7074, -0.2566, 0.4656, 0.2938], [-0.029300000000000003, -0.31870000000000004, -0.1253, -0.3471], [0.0161, -0.2379, -0.031400000000000004, 0.34340000000000004], [0.2044, 0.4041, -0.24430000000000002, -0.2861]... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + -0.25 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -1.0 * Z(3)... | 11 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101001", "0101011", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.6791) q[0];
rz(-0.0137) q[0];
ry(0.7074) q[1];
rz(-0.2566) q[1];
ry(-0.0293) q[2];
rz(-0.3187) q[2];
ry(0.0161) q[3];
rz(-0.2379) q[3];
ry(0.2044) q[4];
rz(0.4041) q[4];
ry(-0.0047) q[5];
rz(0.0784) q[5];
ry(0.0031) q[6];
rz(0.4618) q[6];
cx q[1], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
7213bcdac492d012065ef417f31c81b5 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 201.34207606315613} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(3.0513) q[6];
ry(0.0779) q[1];
ry(5.229) q[5];
ry(20.2391) q[3];
cry(12.6506) q[3], q[6];
cry(21.6605) q[3], q[1];
cry(-13.8669) q[1], q[6];
ry(1.2595) q[2];
cry(10.0669) q[2], q[6];
cr... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) 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] = m... |
74fac64ced95adb2031c8f632fdb5d7f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [169, 233], "expectation_value": -2.5143249413736353, "params": [[[0.0029000000000000002, 0.6014], [0.30610000000000004, -0.23950000000000002], [0.8009000000000001, 0.00030000000000000003], [0.5404, 0.041], [0.7925000000000001, -0.0001], [0.4283, -0.1558], [0.7981, -0.0043], [0.0007, 0.5764], [0.1295, 0.3389... | 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(0) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(2))... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100010110", "1100001110", "1100000111", "1100100101", "1110000101", "1010010110", "1010010101", "1001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0029) q[0];
rz(0.6014) q[0];
rx(0.3061) q[1];
rz(-0.2395) q[1];
rx(0.8009) q[2];
rz(0.0003) q[2];
rx(0.5404) q[3];
rz(0.041) q[3];
rx(0.7925) q[4];
rz(-0.0001) q[4];
rx(0.4283) q[5];
rz(-0.1558) q[5];
rx(0.7981) q[6];
rz(-0.0043) q[6];
rx(0.0007) 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": []} |
3921885789349447760 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 6], [0, 2, 3, 5, 6, 7], [8, 7]]} | {"states": [509, 505], "expectation_value": -0.6333697676466343, "params": [1.8849, 0.0021000000000000003, 1.8877000000000002, -0.0012000000000000001, 1.9027, 0.0018000000000000002, 1.8958000000000002, -0.0021000000000000003, 1.9056000000000002, 0.6209, 1.8952, 0.5976, 1.352, 0.4963, 1.9085, 0.0018000000000000002, 1.90... | 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)) + 0.11666666666666667 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(6)) + 0.03333333333333... | 4 | 9 | 1 | {"smallest_eigenvalues": [-0.9500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9500000000000001, "smallest_bitstrings": ["000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.8849) q[0];
rz(0.0021) q[0];
rx(1.8877) q[1];
rz(-0.0012) q[1];
rx(1.9027) q[2];
rz(0.0018) q[2];
rx(1.8958) q[3];
rz(-0.0021) q[3];
rx(1.9056) q[4];
rz(0.6209) q[4];
rx(1.8952) q[5];
rz(0.5976) q[5];
rx(1.352) q[6];
rz(0.4963) q[6];
rx(1.9085) 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": []} |
1ae3df564c02a981a1bfb732abc1451a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [72, 104], "expectation_value": -7.035994460624921, "params": [[[-0.0095, -0.39590000000000003], [0.0007, 0.4307], [0.8108000000000001, 0.0009000000000000001], [0.791, -0.0034000000000000002], [-0.0067, -0.3846], [0.8052, -0.0022], [0.7534000000000001, 0.0025], [0.0033, 0.4313], [0.0755, -0.32320000000000004... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.5, "smallest_bitstrings": ["010110111", "110110011", "110010111", "110110110", "001110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0095) q[0];
rz(-0.3959) q[0];
rx(0.0007) q[1];
rz(0.4307) q[1];
rx(0.8108) q[2];
rz(0.0009) q[2];
rx(0.791) q[3];
rz(-0.0034) q[3];
rx(-0.0067) q[4];
rz(-0.3846) q[4];
rx(0.8052) q[5];
rz(-0.0022) q[5];
rx(0.7534) q[6];
rz(0.0025) q[6];
rx(0.0033) 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": []} |
96305340bd3434ff7165509b49e3aa98 | 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": 6}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [48, 50], "expectation_value": -2.9584797802718796, "params": [[[0.0102, -0.8465, 0.0007, 0.0059], [0.462, -0.8461000000000001, 0.06760000000000001, 0.005], [1.5878, -0.0034000000000000002, 1.5842, 0.0079], [1.2815, 0.0034000000000000002, -1.2867, 0.0048000000000000004], [0.0028, 0.9145000000000001, 0.0028, ... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + -0.25 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -1.0 * Z(3)... | 11 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101001", "0101011", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0102) q[0];
rz(-0.8465) q[0];
ry(0.462) q[1];
rz(-0.8461) q[1];
ry(1.5878) q[2];
rz(-0.0034) q[2];
ry(1.2815) q[3];
rz(0.0034) q[3];
ry(0.0028) q[4];
rz(0.9145) q[4];
ry(0.0028) q[5];
rz(0) q[5];
ry(-0.0022) q[6];
rz(0.0033) q[6];
cx q[1], q[0];
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] 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": []} |
1253870475338964301 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [8, 9, 6], [9, 2, 10, 6], [9, 5, 6, 7], [8, 1, 10], [0, 2, 4, 5, 6, 8], [0, 1, 3, 4, 5, 6, 9, 11], [4, 7], [0, 1, 10], [0, 3, 4, 5, 8], [0, 2, 5, 6, 7, 8]]} | {"states": [3030, 3031], "expectation_value": -2.8323127690015024, "params": [[[2.9921, 0.007, 0.004200000000000001, 0.0088], [0.169, 0.0035, 0.08360000000000001, 0.0057], [2.9996, 0.0029000000000000002, 0.0066, 0.0018000000000000002], [-0.003, -0.6785, 1.5738, 0.0073], [2.9968000000000004, 0.005200000000000001, 0.0075... | 0.5 * (Z(1) @ Z(9)) + 0.03333333333333333 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(11) @ Z(9)) + 0.017857142857142856 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(11) @ Z(10)) + 0.11666666666666667 * (Z(8) @ Z(9)) + 0.017857142857142856 * (Z(8) @ Z(1)) + 0.2333333333333333 * (Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-3.227380952380953], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.144047619047618, "smallest_bitstrings": ["010000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(2.9921) q[0];
rz(0.007) q[0];
ry(0.169) q[1];
rz(0.0035) q[1];
ry(2.9996) q[2];
rz(0.0029) q[2];
ry(-0.003) q[3];
rz(-0.6785) q[3];
ry(2.9968) q[4];
rz(0.0052) q[4];
ry(-0.0028) q[5];
rz(0.7166) q[5];
ry(0.0024) q[6];
rz(0.0021) q[6];
ry(1.0481) 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": []} |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -10.704528104928958, "params": [[[-0.0012000000000000001, 0.003], [0.0, 0.07400000000000001], [-0.004, 0.0028], [-0.005200000000000001, 0.0028], [0.001, -0.0025], [-0.0019, -0.0027], [-1.4354, 0.0053], [0.3904, -0.0082]], [[0.0047, 0.25780000000000003], [-0.005200000000000001... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 15 | 8 | 3 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0012) q[0];
ry(0) q[1];
ry(-0.004) q[2];
ry(-0.0052) q[3];
ry(0.001) q[4];
ry(-0.0019) q[5];
ry(-1.4354) q[6];
ry(0.3904) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f62b83cca3f45816fa664c134006cb2d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": 3, "target": 4}, {"sour... | {"states": [417, 419], "expectation_value": -2.949126092794715, "params": [1.804, 0.0046, 1.8097, 0.001, 0.35860000000000003, 0.008, 1.8022, 0.004200000000000001, 0.003, 0.0045000000000000005, 1.4997, 0.009600000000000001, 0.3633, 0.0008, 1.639, 0.0007, 1.8030000000000002, 0.0015, 0.002, 0.0053, 0.0067, 0.0047, 0.00960... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(7) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001011100", "001110010", "001010110", "000010111", "001111000", "000011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.804) q[0];
rz(0.0046) q[0];
rx(1.8097) q[1];
rz(0.001) q[1];
rx(0.3586) q[2];
rz(0.008) q[2];
rx(1.8022) q[3];
rz(0.0042) q[3];
rx(0.003) q[4];
rz(0.0045) q[4];
rx(1.4997) q[5];
rz(0.0096) q[5];
rx(0.3633) q[6];
rz(0.0008) q[6];
rx(1.639) q[7];
rz(0.0007)... | OPENQASM 3.0;
include "stdgates.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": []} |
13b5396df6ad27aea05f400e3a29be63 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [145, 177], "expectation_value": -7.050075990714239, "params": [[-0.0026000000000000003, 0.8566, 0.8878, 0.0558, 0.8929, 0.0017000000000000001, 0.0178, 0.0038, 0.7853], [-0.0017000000000000001, 0.5589000000000001, 0.463, 0.9045000000000001, 0.8949, 0.0025, -0.0018000000000000002, -0.0039000000000000003, 0.78... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["101001110", "101011100", "110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0026) q[0];
ry(0.8566) q[1];
ry(0.8878) q[2];
ry(0.0558) q[3];
ry(0.8929) q[4];
ry(0.0017) q[5];
ry(0.0178) q[6];
ry(0.0038) q[7];
ry(0.7853) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
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": []} |
598afa5ba5805c1178ca47cc998ec074 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 2}, {"weight": 11, "sour... | {"states": [248, 236], "expectation_value": -25.451365236701676, "params": [[-0.033600000000000005, 0.003, 0.0017000000000000001], [0.0678, 0.055400000000000005, 0.0609]], "bitstrings": ["100000111", "100010011"], "total_optimization_steps": 10, "probabilities": [0.008639196807524226, 0.00986636142743026], "optimizatio... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 7.5 * Z(1) + 10.0 * Z(0) + 21.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.336) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.336) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.336) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.336) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
8975768050514028393 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5, 6], [1, 6], [0, 2, 3, 4], [1, 2, 3], [2, 3, 4, 6], [0, 1, 5]]} | {"states": [15, 46], "expectation_value": -1.7745848282417305, "params": null, "bitstrings": ["1110000", "1010001"], "total_optimization_steps": 34, "probabilities": [0.04419059729664858, 0.9063302277123063], "optimization_time": 43.02236580848694} | 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["1010001"]} | 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(1.4977) q[3];
cry(-0.9726) q[1], q[6];
ry(0.9667) q[1];
cry(-0.6572) q[3], q[6];
cry(0.4326) q[3], q[1];
ry(0.7192) q[5];
ry(-0.341) q[6];
ry(0.7238) q[4];
cry(-0.6197) q[5], q[0];
cry(0.5002) q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4977) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
e7f52f1e4ef4212454d9db0ad93f1bd0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [187, 251], "expectation_value": -6.756098194457797, "params": null, "bitstrings": ["101000100", "100000100"], "total_optimization_steps": 68, "probabilities": [0.3789400272812132, 0.3789400272812132], "optimization_time": 92.80883550643921} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[6];
ry(1.5681) q[1];
cry(1.5706) q[1], q[5];
cry(1.5486) q[5], q[4];
cry(1.5706) q[4], q[7];
cry(1.3016) q[8], q[3];
cry(1.0475) q[3], q[8];
cry(-1.3033) q[8], q[0];
cry(-0.2... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) 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] = ... |
5a72f9b916a73a48e6cf7a8b539a43a1 | 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": [585, 589], "expectation_value": -121.20880971518221, "params": [[0.013600000000000001, 0.6293000000000001, 0.0236, -0.048, 0.6325000000000001, -0.0059, 0.0092, 0.9438000000000001, 0.26, 0.0217, 0.6405000000000001], [0.026600000000000002, 0.6282, -0.0362, -0.0451, 0.6343, -0.0045000000000000005, -0.019100000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(9)) + 15.0 * Z(1) + 2.5 * Z(0) + -4.0 * Z(2) + -3.0 * Z(3) + 10.0 * Z(4) + -6.5 *... | 10 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["10110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0136) q[0];
ry(0.6293) q[1];
ry(0.0236) q[2];
ry(-0.048) q[3];
ry(0.6325) q[4];
ry(-0.0059) q[5];
ry(0.0092) q[6];
ry(0.9438) q[7];
ry(0.26) q[8];
ry(0.0217) q[9];
ry(0.6405) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz 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, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
c5211bad50b928e7b2cd71a45947d261 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [222, 220], "expectation_value": -29.12008861565803, "params": [[0.0219, 0.0022, -0.0012000000000000001, 0.015300000000000001], [-0.0523, -0.047900000000000005, -0.0373, -0.0341]], "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006398977960499332, 0.008414110399... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"]} | 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(0.1971) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1971) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1971) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.1971) q[3];
cx q[6], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
984069cd50d39f7e5d4b40fb03f5527d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -12.03621212628849, "params": [[-0.0473, 0.0], [0.06430000000000001, 0.029300000000000003]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008708562199236183, 0.009868372304223683], "optimization_time": 4.076820373535156} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "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(-0.3784) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3784) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3784) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3784) 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] 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 ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5122871958285148423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 10], [4, 5, 7], [2, 3, 4, 7], [9, 11], [0, 11, 7], [1, 4, 6, 7, 10], [0, 1, 8], [2, 11], [9, 2, 7], [0, 11, 4, 6], [3, 4, 6], [0, 1, 5, 6], [8, 9], [2, 5], [9, 2, 3, 4], [8, 11], [1, 11], [3, 10, 11], [8, 4, 5], [0, 10, 4], [8, 0, 2, 6], [1, 2, 10, 7]... | {"states": [4022, 3766], "expectation_value": -4.761593998178546, "params": [[1.0571000000000002, 0.109, 1.1098000000000001, -0.0037, 1.125, -0.1519, 0.8229000000000001, 0.4554, -0.2177, 0.5283, 0.8130000000000001, -0.1912], [1.9922000000000002, 2.0031, 1.9936, 1.5405, 1.9804000000000002, 0.923, 1.9991, 1.9926000000000... | 0.5 * (Z(8) @ Z(10)) + 0.21666666666666667 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.3 * (Z(7) @ Z(10)) + 0.3 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.08333333333333333 * (... | 10 | 12 | 1 | {"smallest_eigenvalues": [-6.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.283333333333334, "smallest_bitstrings": ["000101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.0571) q[0];
ry(0.109) q[1];
ry(1.1098) q[2];
ry(-0.0037) q[3];
ry(1.125) q[4];
ry(-0.1519) q[5];
ry(0.8229) q[6];
ry(0.4554) q[7];
ry(-0.2177) q[8];
ry(0.5283) q[9];
ry(0.813) q[10];
ry(-0.1912) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz ... | OPENQASM 3.0;
include "stdgates.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": []} |
88c37089228e076ab4b9308cc2060063 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [98, 114], "expectation_value": -2.344343380715684, "params": [[[0.002, 0.0097], [1.5973000000000002, 0.009300000000000001], [1.6027, 0.0076], [1.5963, 0.0025], [1.0292000000000001, 0.0053], [0.002, 0.0039000000000000003], [1.6052000000000002, 0.0057], [0.5575, 0.008400000000000001]]], "bitstrings": ["100111... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(0) + -0.5 * Z(1) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.002) q[0];
rz(0.0097) q[0];
rx(1.5973) q[1];
rz(0.0093) q[1];
rx(1.6027) q[2];
rz(0.0076) q[2];
rx(1.5963) q[3];
rz(0.0025) q[3];
rx(1.0292) q[4];
rz(0.0053) q[4];
rx(0.002) q[5];
rz(0.0039) q[5];
rx(1.6052) q[6];
rz(0.0057) q[6];
rx(0.5575) q[7];
rz(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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
47007465d812e52d6cf0f90e500474b2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.766864638653765, "params": [-0.0026000000000000003, 0.2632, 0.0013000000000000002, 0.3085, 0.0033, 0.2781, -0.0002, 0.2525, 0.00030000000000000003, 0.30820000000000003, 0.002, 0.2984, 0.0015, 0.3109, 0.39980000000000004, 0.006500000000000001, -0.0068000000000000005, 0.2676, 0... | -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) ... | 3 | 8 | 4 | {"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;
rx(-0.0026) q[0];
rz(0.2632) q[0];
rx(0.0013) q[1];
rz(0.3085) q[1];
rx(0.0033) q[2];
rz(0.2781) q[2];
rx(-0.0002) q[3];
rz(0.2525) q[3];
rx(0.0003) q[4];
rz(0.3082) q[4];
rx(0.002) q[5];
rz(0.2984) q[5];
rx(0.0015) q[6];
rz(0.3109) q[6];
rx(0.3998) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
c301ae9e74cfd773a57fdaabfc40d1fb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [146, 210], "expectation_value": -4.1213561451685585, "params": [0.804, 0.1822, 0.8099000000000001, 0.0064, 0.7987000000000001, 0.31170000000000003, 0.7951, 0.0056, 0.0034000000000000002, 0.4213, 0.0017000000000000001, 0.0043, 0.8118000000000001, 0.1875, 0.8124, 0.006900000000000001, 0.7327, 0.4506, 0.7349, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00101101", "01100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.804) q[0];
rz(0.1822) q[0];
rx(0.7987) q[1];
rz(0.3117) q[1];
rx(0.0034) q[2];
rz(0.4213) q[2];
rx(0.8118) q[3];
rz(0.1875) q[3];
rx(0.7327) q[4];
rz(0.4506) q[4];
rx(-0.0046) q[5];
rz(0.4266) q[5];
rx(0.8104) q[6];
rz(0.1841) q[6];
rx(-0.005) 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": []} |
eba59f50c284ea491834da7e16fa8fc7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [217, 214], "expectation_value": -18.1133561931739, "params": [[0.0344, 0.0054, -0.0711], [-0.0627, -0.0616, 0.0182]], "bitstrings": ["100100110", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006742745536507148, 0.008263875615406611], "optimization_time": 13.66418194770813} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 3.0 * Z(0) + 12.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3096) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3096) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.3096) q[3];
cx q[4], q[3];
cx q[1], q[5];
rz(0.3096) q[5];
cx q[1], 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-641285898737926161 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [0, 6], [2, 5, 7], [0, 7], [4, 5, 6, 7], [2, 4, 6, 7], [3, 4, 7], [3, 6, 7], [2, 5, 6], [0, 1]]} | {"states": [123, 115], "expectation_value": -2.372523326927439, "params": [0.3936, 0.4602, 0.3946, 0.0004, 1.1492, -0.11720000000000001, 1.1479000000000001, 0.0064, 1.1948, -0.0551, 1.1992, 0.0019, 1.1987, -0.1267, 1.1981000000000002, 0.008, 1.1894, -0.2523, 1.0525, 0.008, 0.7752, -0.3416, 0.774, 0.002, 1.2009, -0.117,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @... | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666665, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3936) q[0];
rz(0.4602) q[0];
rx(1.1492) q[1];
rz(-0.1172) q[1];
rx(1.1948) q[2];
rz(-0.0551) q[2];
rx(1.1987) q[3];
rz(-0.1267) q[3];
rx(1.1894) q[4];
rz(-0.2523) q[4];
rx(0.7752) q[5];
rz(-0.3416) q[5];
rx(1.2009) q[6];
rz(-0.117) q[6];
rx(1.1975) 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": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 21], "expectation_value": -0.14759160321231504, "params": [[0.0714, 0.0644], [-0.0791, -0.0726]], "bitstrings": ["011100", "101010"], "total_optimization_steps": 10, "probabilities": [0.01959941301974504, 0.01959941301974505], "optimization_time": 5.073408842086792} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0714) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(0.0714) q[3];
cx q[4], q[3];
cx q[2], q[0];
rz(0.0179) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0179) q[3];
cx q[0], q[3];
cx q[5], q[0];
rz(0.0179... | OPENQASM 3.0;
include "stdgates.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": []} |
3cfba9b8e6135f1a74b155ada7fa97bf | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [3983, 4095], "expectation_value": -2.056019048997667, "params": [[-0.0757], [0.0718]], "bitstrings": ["000001110000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0005033453202006205, 0.0005135293749587732], "optimization_time": 2.8421807289123535} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(0.3028) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1514) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.3028) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 7} | {"circuits": [], "gradients": []} |
51da79901477df671eec43cf9e4a37b8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 63], "expectation_value": -1.212851335927025, "params": [[0.0724], [-0.0659]], "bitstrings": ["0000000000", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.001526296023610319, 0.0015713052770691253], "optimization_time": 2.603250503540039} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111000000", "0011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.2172) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0724) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.362) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0724) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 3} | {"circuits": [], "gradients": []} |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134295, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 59.25917887687683} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[3];
ry(1.0726) q[2];
ry(0.5017) q[3];
cry(1.5708) q[2], q[1];
cry(1.5708) q[2], q[4];
cry(1.5708) q[3], q[5];
cry(-1.0416) q[4], q[2];
cry(-0.0142) q[3], q[2];
cry(-0.0242) q[1], q[2];
cry(-0.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
1fc21af19f39ef7e600197f0903292a1 | max_flow | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [8936, 8688], "expectation_value": -7.037984493282094, "params": [[0.15940000000000001, 0.2982, 0.384, 0.5434], [-0.49970000000000003, -0.31520000000000004, -0.1904, -0.1263]], "bitstrings": ["01110100010111", "01111000001111"], "total_optimization_steps": 60, "probabilities": [0.012006777698097333, 0.012006... | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 4 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[9], q[0];
rz(0.1594) q[0];
cx q[9], q[0];
cx q[9], q[10];
rz(0.3188) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(0.1594) q[10];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2941, 2933], "expectation_value": -4.9502865203111375, "params": [0.8001, 0.1364, 0.4481, 0.4355, 0.8063, 0.19640000000000002, 0.7767000000000001, 0.1769, 0.5531, 0.41550000000000004, 0.794, 0.14200000000000002, 0.6445000000000001, -0.027100000000000003, 0.8659, 0.0205, 0.4621, 0.3119, 0.7724000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8001) q[0];
rz(0.1364) q[0];
rx(0.4481) q[1];
rz(0.4355) q[1];
rx(0.8063) q[2];
rz(0.1964) q[2];
rx(0.7767) q[3];
rz(0.1769) q[3];
rx(0.5531) q[4];
rz(0.4155) q[4];
rx(0.794) q[5];
rz(0.142) q[5];
rx(0.6445) q[6];
rz(-0.0271) q[6];
rx(0.8659) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-4619862998776359120 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [0, 3, 5], [0, 2], [3, 4, 5], [2, 3, 5, 6]]} | {"states": [77, 58], "expectation_value": -0.8280681671463335, "params": [[0.3624], [-0.35550000000000004]], "bitstrings": ["0110010", "1000101"], "total_optimization_steps": 40, "probabilities": [0.023480096315753554, 0.024290213999147468], "optimization_time": 1.428633451461792} | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.3624) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.0604) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(0.0604) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.0604) q[3];
cx q[6], q[3];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
-5526859724430695965 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10], [2, 11, 4, 7], [1, 2, 3], [0, 3], [10, 5], [4, 6], [8, 9]]} | {"states": [1525, 1397], "expectation_value": -2.3998917240797746, "params": [0.18430000000000002, 0.18760000000000002, 0.9602, 0.9277000000000001, 0.23340000000000002, 0.2288, 0.9183, 0.8431000000000001, 0.7615000000000001, 0.763, 1.3973, 1.3963, 1.395, 1.3987, 1.3476000000000001, 1.3459, 0.1905, 0.19260000000000002, ... | 0.5 * (Z(11) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333, -3.083333333333333], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1843) q[0];
ry(0.9602) q[1];
ry(0.2334) q[2];
ry(0.9183) q[3];
ry(0.7615) q[4];
ry(1.3973) q[5];
ry(1.395) q[6];
ry(1.3476) q[7];
ry(0.1905) q[8];
ry(1.2276) q[9];
ry(0.2518) q[10];
ry(1.3479) q[11];
crz(-0.0287) q[11], q[0];
crz(0.7361) 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": []} |
-7637694632116865901 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [0, 7], [5, 6], [3, 7], [3, 6], [2, 7], [0, 3], [2, 3], [8, 3], [0, 8], [2, 5], [8, 1], [8, 2], [1, 5], [1, 7], [8, 5]]} | {"states": [42, 43], "expectation_value": -0.04192819481377556, "params": [0.7364, 0.056100000000000004, 0.7388, 0.0029000000000000002, 0.7471, -0.049, 0.752, 0.001, 0.7421, 0.1461, 0.745, 0.00030000000000000003, 0.8205, 0.1506, 0.808, 0.0014, 0.7292000000000001, 0.0443, 0.7308, 0.0054, 0.8198000000000001, 0.0002, 0.81... | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111010100", "000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7364) q[0];
rz(0.0561) q[0];
rx(0.7471) q[1];
rz(-0.049) q[1];
rx(0.7421) q[2];
rz(0.1461) q[2];
rx(0.8205) q[3];
rz(0.1506) q[3];
rx(0.7292) q[4];
rz(0.0443) q[4];
rx(0.8198) q[5];
rz(0.0002) q[5];
rx(0.7533) q[6];
rz(0.053) q[6];
rx(0.8378) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
965cefed52e621c4c90674f817650a6a | 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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [63, 17], "expectation_value": -3.1669326718968365, "params": [[-0.0731, -0.056, -0.053700000000000005, -0.0252], [0.07970000000000001, 0.0661, 0.0648, 0.054900000000000004]], "bitstrings": ["1000000", "1101110"], "total_optimization_steps": 10, "probabilities": [0.03256208258005098, 0.033161979151491223], "... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.1096) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.2193) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(0.2193) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(0.1096) q[4];
cx q[1], q[4];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [246, 182], "expectation_value": -28.433731179417535, "params": [[-0.0449, 0.0044, 0.0073], [0.07680000000000001, 0.0729, 0.0717]], "bitstrings": ["100001001", "101001001"], "total_optimization_steps": 10, "probabilities": [0.010801668922148339, 0.0143987575653205], "optimization_time": 6.2053351402282715} | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"]} | 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(-0.4041) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.4041) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.4041) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.4041) 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": []} |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 29.31475257873535} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.2796) q[0];
ry(-1.5708) q[3];
ry(-1.3483) q[4];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(0.9179) q[6], q[0];
cry(-1.2089) q[5], q[0];
ry(-1.7676) q[5];
cry(1.2259) q[6], q[4];
cry(-0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
23529db270bae4def52806aeae1d449e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 1019], "expectation_value": -9.13651233742902, "params": [0.038700000000000005, 1.7665000000000002, 0.3156, 1.9005, 0.6009, 0.6282, 0.1017, 1.8803, -0.7000000000000001, 0.4929, -0.1211, 1.7299, 0.7218, 1.0999, 0.062200000000000005, 1.5896000000000001, 0.6885, 0.9252, 0.0167, 1.5386, 0.7819, 0.9334, -0.11... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0387) q[0];
rz(1.7665) q[0];
rx(0.6009) q[1];
rz(0.6282) q[1];
rx(-0.7) q[2];
rz(0.4929) q[2];
rx(0.7218) q[3];
rz(1.0999) q[3];
rx(0.6885) q[4];
rz(0.9252) q[4];
rx(0.7819) q[5];
rz(0.9334) q[5];
rx(0.7221) q[6];
rz(0.9702) q[6];
rx(0.5949) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [121, 118], "expectation_value": -22.764905615640316, "params": [[0.0361, -0.0017000000000000001], [-0.0852, -0.0477]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01051264476431237, 0.012025724197416435], "optimization_time": 3.523221254348755} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2888) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2888) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2888) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2888) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
87224c590a6c623e4385c63f6a5a56ea | connected_components | 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": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [3, 27], "expectation_value": -3.4994560898748266, "params": null, "bitstrings": ["11100", "00100"], "total_optimization_steps": 24, "probabilities": [0.1874479912292043, 0.5624638892788083], "optimization_time": 7.918630838394165} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5486) q[3], q[4];
cry(1.2305) q[4], q[3];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[2];
cry(-0.1101) q[3], q[2];
ry(0.0163) q[0];
ry(0.0163) q[4];
cry(-0.0379) q[1], q[2];
ry(0.0085) q[1];
ry(0.... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
-7087876876858816793 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 5, 6], [0, 4, 7, 9, 10], [8, 2], [9, 11, 6, 7], [1, 2, 3, 6, 7], [3, 10, 11, 7], [2, 5], [0, 3, 7, 8, 9, 11], [1, 4, 7, 8, 9, 10], [0, 5, 7, 8, 9, 10]]} | {"states": [3902, 3870], "expectation_value": -2.2167991505477858, "params": [2.18, -0.0022, 2.1962, -0.0019, 2.1936, -0.0023, 2.2069, 0.0035, 0.3766, -1.0019, 0.7849, 0.919, 1.3356000000000001, 0.9045000000000001, 2.1248, 0.0023, 2.1974, 0.0033, 2.2023, 0.0021000000000000003, 2.2043, -0.16190000000000002, 0.3917, 0.00... | 0.19999999999999998 * (Z(11) @ Z(2)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.11666666666666667 * (Z(7) @ Z(11)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(11)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333334 * (Z(0) @ Z(2)) + 0.11666666666666667 * (Z(0) @ Z(11)) + 0.0333333333... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.716666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6833333333333336, "smallest_bitstrings": ["000011100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.18) q[0];
rz(-0.0022) q[0];
rx(2.1962) q[1];
rz(-0.0019) q[1];
rx(2.1936) q[2];
rz(-0.0023) q[2];
rx(2.2069) q[3];
rz(0.0035) q[3];
rx(0.3766) q[4];
rz(-1.0019) q[4];
rx(0.7849) q[5];
rz(0.919) q[5];
rx(1.3356) q[6];
rz(0.9045) q[6];
rx(2.1248) 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": []} |
1193544933331346 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 6], [2, 4], [3, 5, 6], [0, 2, 6]]} | {"states": [17, 25], "expectation_value": -1.3451500152993345, "params": [[0.17800000000000002, -0.0058000000000000005, 1.55, 0.0868, -0.154, 0.3522, 1.5899], [0.9889, 0.3932, 1.5877000000000001, 1.5979, 0.1615, 1.4679, 1.4317]], "bitstrings": ["1101110", "1100110"], "total_optimization_steps": 160, "probabilities": [0... | 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)... | 10 | 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;
ry(0.178) q[0];
ry(-0.0058) q[1];
ry(1.55) q[2];
ry(0.0868) q[3];
ry(-0.154) q[4];
ry(0.3522) q[5];
ry(1.5899) 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[6];
ry(0.9889) q[0];
ry(0.3932) q[1];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [510, 509], "expectation_value": -4.163677241598218, "params": [[-0.1217, -0.0799, 0.1184], [0.12480000000000001, 0.1165, 0.021]], "bitstrings": ["1000000001", "1000000010"], "total_optimization_steps": 20, "probabilities": [0.0033922607461976157, 0.003392260746197617], "optimization_time": 11.41673374176025... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(-0.2434) q[1];
cx q[2], q[1];
cx q[3], q[7];
rz(0.2434) q[7];
cx q[3], q[7];
cx q[2], q[4];
rz(-0.1217) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.1217) q[4];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
422319ba04d136ad73513dac1d0065c7 | max_flow | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1789, 1653], "expectation_value": -8.807640981384239, "params": [[0.1359, 0.1241, -0.017400000000000002], [-0.1622, -0.16190000000000002, -0.0906]], "bitstrings": ["100100000010", "100110001010"], "total_optimization_steps": 20, "probabilities": [0.00452082071788449, 0.004520820717884491], "optimization_tim... | -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 * ... | 1 | 12 | 3 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[8];
rz(-0.2718) q[8];
cx q[4], q[8];
cx q[4], q[5];
rz(0.1359) q[5];
cx q[4], q[5];
cx q[8], q[5];
rz(-0.1359) q[5];
cx q[8], q[5];
cx q[4], q[6];
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": []} |
4dc7eb2b16579aab0e582a9105750b79 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [0, 127], "expectation_value": -7.089762241381738, "params": [[[0.0022, 1.6067], [-0.0033, 0.0022], [0.0023, 0.0022], [0.0016, 0.0019], [0.0024000000000000002, 0.0019], [0.0021000000000000003, 0.002], [0.0022, 0.002]]], "bitstrings": ["1111111", "0000000"], "total_optimization_steps": 160, "probabilities": [... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0022) q[0];
ry(-0.0033) q[1];
ry(0.0023) q[2];
ry(0.0016) q[3];
ry(0.0024) q[4];
ry(0.0021) q[5];
ry(0.0022) q[6];
cx q[6], q[0];
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(1.6067) q[0];
ry(0.0022) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q[4];
ry(x5) q[5];
ry... | {"node": 2} | {"circuits": [], "gradients": []} |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 62.15626502037048} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[2];
cry(1.5157) q[4], q[1];
ry(1.5485) q[3];
cry(0.8284) q[2], q[4];
cry(0.3998) q[2], q[1];
cry(1.3013) q[2], q[6];
cry(-1.4753) q[6], q[0];
cry(1.2112) q[4], q[5];
ry(-0.5598) q[5];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
334ec40384f1c27ca68aa48e64e21b23 | 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": [2620, 2604], "expectation_value": -103.47855679740755, "params": [0.6874, 0.1448, 0.2888, 0.2748, 0.6966, 0.1502, 0.2267, 0.3024, -0.002, -0.47390000000000004, 0.0045000000000000005, 0.4451, 0.7055, 0.0274, 0.34950000000000003, 0.1814, 0.7021000000000001, 0.0171, 0.7015, 0.0068000000000000005, -0.0089, 0.29... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(11) @ Z(8)) + 5.5 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 5.5 * Z(2) + 5.5 * Z(6) + -7.0 * Z(5)... | 18 | 12 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.0, "smallest_bitstrings": ["010111010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6874) q[0];
rz(0.1448) q[0];
rx(0.2888) q[1];
rz(0.2748) q[1];
rx(0.6966) q[2];
rz(0.1502) q[2];
rx(0.2267) q[3];
rz(0.3024) q[3];
rx(-0.002) q[4];
rz(-0.4739) q[4];
rx(0.0045) q[5];
rz(0.4451) q[5];
rx(0.7055) q[6];
rz(0.0274) q[6];
rx(0.3495) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
e776e7ca61722eeb2742e447edcfe87e | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [130, 3], "expectation_value": -3.932196154261697, "params": [[0.17370000000000002], [-0.1656]], "bitstrings": ["01111101", "11111100"], "total_optimization_steps": 20, "probabilities": [0.012122383254540495, 0.015617438141233703], "optimization_time": 2.2624671459198} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"]} | 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(-0.0869) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.4343) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.1737) q[6];
cx q[0], q[6];
cx q[5], q[2];
rz(-0.4343) q[2];
cx q[5], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e477f019bfd20e5c3ebfb6f9f834bdc7 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [29, 31], "expectation_value": -14.884395396832433, "params": null, "bitstrings": ["111100010", "111100000"], "total_optimization_steps": 98, "probabilities": [0.12902719368274457, 0.3718549892763251], "optimization_time": 149.14021396636963} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[2], q[3];
ry(-1.5708) q[0];
ry(-1.57) q[1];
cry(1.5708) q[4], q[7];
ry(1.0383) q[4];
cry(1.5708) q[7], q[8];
cry(0.2441) q[8], q[7];
ry(-0.7854) q[3];
ry(-0.876) q[2];
cry(-1... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
3432273595255020415 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 3], [2, 4], [0, 5], [0, 6], [6, 7]]} | {"states": [162, 161], "expectation_value": -1.0706168420924396, "params": [0.9051, -0.0006000000000000001, 0.8952, 0.0063, 0.9019, -0.0024000000000000002, 0.43270000000000003, 0.006900000000000001, 0.9055000000000001, -0.0131, 0.8978, 0.0046, 0.8097000000000001, -0.0037, 0.6641, 0.0033, 0.8985000000000001, -0.00450000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00110110", "01011110", "10100001", "11001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9051) q[0];
rz(-0.0006) q[0];
rx(0.9019) q[1];
rz(-0.0024) q[1];
rx(0.9055) q[2];
rz(-0.0131) q[2];
rx(0.8097) q[3];
rz(-0.0037) q[3];
rx(0.8985) q[4];
rz(-0.0045) q[4];
rx(0.8671) q[5];
rz(-0.0034) q[5];
rx(0.9014) q[6];
rz(0.0841) q[6];
rx(0.9094) 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": []} |
1945c14bbcec92b7e4f7655d5da7795f | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [254, 127], "expectation_value": -1.1352986810621062, "params": [[0.0587, 0.0791], [-0.038400000000000004, -0.0658]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006918397829612268, 0.0071102377843655275], "optimization_time": 4.125689506530762} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10111110", "10011010", "11111110", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0881) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0294) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0881) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0294) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | 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": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -0.024383837169012643, "params": [[-0.0051, -0.0375], [-0.0224, 0.0386]], "bitstrings": ["1011", "0111"], "total_optimization_steps": 10, "probabilities": [0.06365161543051912, 0.06365161543051912], "optimization_time": 1.0745601654052734} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"]} | 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(-0.0051) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0051) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(-0.0051) q[3];
cx q[1], q[3];
rz(0.0051) q[0];
rz(0.0051) q[1];
rz(0.0102) q[2];
rz(0.0102) q[3];
h q[0];
rz(-0.04... | 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[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[2], q[0];
rz(x0) q[0... | null | {"circuits": [], "gradients": []} |
9c39e63103594dc6f11ed26b2dc64fda | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [101, 77], "expectation_value": -4.499130268167832, "params": null, "bitstrings": ["0011010", "0110010"], "total_optimization_steps": 32, "probabilities": [0.06552842103685835, 0.9338525494443669], "optimization_time": 23.309001922607422} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110010", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4449) q[6];
cry(-1.0343) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[3];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-6355160135284227684 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [1, 2, 4], [0, 1]]} | {"states": [11, 14], "expectation_value": -0.026339462378949623, "params": [[0.0723], [-0.0741]], "bitstrings": ["10100", "10001"], "total_optimization_steps": 10, "probabilities": [0.03291414008343227, 0.032914140083432276], "optimization_time": 0.9540433883666992} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "10100", "01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0723) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0723) q[1];
cx q[0], q[1];
cx q[1], q[2];
rz(0.0241) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0241) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0241) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[1], q[... | null | {"circuits": [], "gradients": []} |
e4e902d97ba530f1316e54d3eb408a10 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 38], "expectation_value": -0.8682091871025088, "params": [[0.0786, 0.07350000000000001], [-0.0849, -0.0697]], "bitstrings": ["0010111", "1011001"], "total_optimization_steps": 10, "probabilities": [0.012415146217996243, 0.01241514621799625], "optimization_time": 3.3208253383636475} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "1011001"]} | 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(0.0786) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0786) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0786) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0786) q[6];
cx q[0], q[6];
cx q[6], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
71465dce3adcbe86b519c99810e34ef0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [30, 158], "expectation_value": -5.621458764809869, "params": [0.17900000000000002, 0.1822, 0.2371, 0.1822, 0.8098000000000001, 0.8096, 0.1981, 0.19840000000000002, 0.010400000000000001, -0.0016, 0.8055, 0.7954, 0.812, 0.8119000000000001, 0.8083, 0.8079000000000001, 0.8044, 0.8082, 0.0009000000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1101100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.179) q[0];
ry(0.2371) q[1];
ry(0.8098) q[2];
ry(0.1981) q[3];
ry(0.0104) q[4];
ry(0.8055) q[5];
ry(0.812) q[6];
ry(0.8083) q[7];
ry(0.8044) q[8];
ry(0.0009) q[9];
crx(0.167) q[9], q[0];
crx(-0.003) q[8], q[9];
crx(0.7984) q[7], q[8];
crx(0.798) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8581647089214385549 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 4, 6], [8, 5], [2, 3, 4, 5, 9], [0, 1, 6, 8, 9], [0, 1, 2, 5], [0, 1, 2, 3, 7], [0, 1, 2, 6, 7], [8, 3, 6], [3, 4, 6], [8, 1, 2, 4], [0, 4], [0, 1, 2, 7, 8, 9], [1, 3, 5, 7, 9], [0, 8, 3, 7], [8, 2, 4, 7]]} | {"states": [971, 963], "expectation_value": -3.470919212815251, "params": null, "bitstrings": ["0000110100", "0000111100"], "total_optimization_steps": 71, "probabilities": [0.07487147848618209, 0.7731830605551487], "optimization_time": 172.05987977981567} | 0.2833333333333333 * (Z(8) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(8)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.3 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(3)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5632) q[2];
ry(1.5273) q[3];
ry(1.2294) q[1];
cry(-1.0799) q[8], q[5];
ry(0.9661) q[8];
cry(-0.6565) q[2], q[5];
cry(-1.1483) q[0], q[4];
cry(0.465) q[2], q[8];
ry(0.6582) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5632) 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]... |
fafc6efdddfc79ee772c32f1548fe7dd | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [762, 698], "expectation_value": -1.6949981371483935, "params": [[[1.9076000000000002, 0.0097], [0.6914, 0.0036000000000000003], [1.8964, 0.0018000000000000002], [1.5191000000000001, 0.0018000000000000002], [1.9093, 0.0054], [1.9092, 0.0082], [1.8996000000000002, 0.0033], [0.2607, 0.0039000000000000003], [1.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.125, "smallest_bitstrings": ["0101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.9076) q[0];
rz(0.0097) q[0];
rx(0.6914) q[1];
rz(0.0036) q[1];
rx(1.8964) q[2];
rz(0.0018) q[2];
rx(1.5191) q[3];
rz(0.0018) q[3];
rx(1.9093) q[4];
rz(0.0054) q[4];
rx(1.9092) q[5];
rz(0.0082) q[5];
rx(1.8996) q[6];
rz(0.0033) q[6];
rx(0.2607) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
253d3995de007ce15800f0023018551d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 29.185240745544434} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.231) q[6];
ry(-0.6433) q[0];
cry(1.4449) q[4], q[3];
cry(1.218) q[3], q[4];
cry(0.2809) q[4], q[6];
cry(-0.1177) q[4], q[0];
ry(-1.0398) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
61e72a7f3bba48b5d0ac6a3978f4cc8b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [13, 141], "expectation_value": -2.9256980221355557, "params": [[[0.5961000000000001, -0.0006000000000000001], [-0.017400000000000002, -0.3151], [0.1653, -0.22740000000000002], [0.1661, 0.2325], [0.6056, 0.0006000000000000001], [0.6002000000000001, -0.0036000000000000003], [0.041100000000000005, -0.2783], [0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + -0.5 * Z(3) | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11010010", "01110010", "01100011", "11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5961) q[0];
rz(-0.0006) q[0];
rx(-0.0174) q[1];
rz(-0.3151) q[1];
rx(0.1653) q[2];
rz(-0.2274) q[2];
rx(0.1661) q[3];
rz(0.2325) q[3];
rx(0.6056) q[4];
rz(0.0006) q[4];
rx(0.6002) q[5];
rz(-0.0036) q[5];
rx(0.0411) q[6];
rz(-0.2783) q[6];
rx(0.6043) 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": []} |
96c17e5b9e437bd6027ef84924d304b0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [29693, 29695], "expectation_value": -3.412250168066705, "params": [0.8032, -0.0028, 0.8067000000000001, -0.0019, 0.8039000000000001, 0.006900000000000001, 0.0023, 0.5651, 0.0022, 0.5942000000000001, 0.8092, -0.0036000000000000003, 0.8069000000000001, 0.0029000000000000002, 0.7998000000000001, 0.0028, 0.8075... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 18 | 15 | 2 | {"smallest_eigenvalues": [-44.99999999999923], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.28571428571398, "smallest_bitstrings": ["000110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.8032) q[0];
rz(-0.0028) q[0];
rx(0.8067) q[1];
rz(-0.0019) q[1];
rx(0.8039) q[2];
rz(0.0069) q[2];
rx(0.0023) q[3];
rz(0.5651) q[3];
rx(0.0022) q[4];
rz(0.5942) q[4];
rx(0.8092) q[5];
rz(-0.0036) q[5];
rx(0.8069) q[6];
rz(0.0029) q[6];
rx(0.7998) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [5, 1], "expectation_value": -1.9041470400648512, "params": [[0.0659, 0.0664, 0.0699, 0.0748], [-0.0539, -0.053200000000000004, -0.052500000000000005, -0.0579]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.021888828670993017, 0.02393822349094163], "optimization_t... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0659) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0988) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(0.1977) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.033) q[1];
cx q[2], q[1];
cx q[2], q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [1013, 757], "expectation_value": -0.7935508279138619, "params": [1.2779, 0.0091, 1.7008, 0.0068000000000000005, 1.4782000000000002, 0.002, 1.7107, 0.0012000000000000001, 1.705, 0.0009000000000000001, 1.7002000000000002, 0.006900000000000001, 1.7058, 0.0055000000000000005, 1.2895, 0.0006000000000000001, 1.70... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(7) @ Z(0)) + 0... | 18 | 11 | 1 | {"smallest_eigenvalues": [-4.09375, -4.09375, -4.09375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.09375, "smallest_bitstrings": ["10100000110", "01100001010", "10100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.2779) q[0];
rz(0.0091) q[0];
rx(1.7008) q[1];
rz(0.0068) q[1];
rx(1.4782) q[2];
rz(0.002) q[2];
rx(1.7107) q[3];
rz(0.0012) q[3];
rx(1.705) q[4];
rz(0.0009) q[4];
rx(1.7002) q[5];
rz(0.0069) q[5];
rx(1.7058) q[6];
rz(0.0055) q[6];
rx(1.2895) 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": []} |
8f21ca6a42f39e8feac9b6bc02479d2e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"... | {"states": [222, 94], "expectation_value": -22.28320490937917, "params": [[-0.028900000000000002, -0.02, -0.006200000000000001], [0.0616, 0.06960000000000001, 0.06570000000000001]], "bitstrings": ["00100001", "10100001"], "total_optimization_steps": 10, "probabilities": [0.014817654792858235, 0.019020445562511316], "op... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.0 * Z(3) + 10.5 * Z(2) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10100001"]} | 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(-0.2312) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2312) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2312) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2312) q[4];
cx q[2], 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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-1187394159903664230 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 3, 4], [2, 4], [2, 3], [0, 1, 4], [1, 3, 4]]} | {"states": [26, 11], "expectation_value": -0.00840549393120188, "params": [[-0.029400000000000003], [0.0246]], "bitstrings": ["00101", "10100"], "total_optimization_steps": 10, "probabilities": [0.03147611888246291, 0.03156637478651192], "optimization_time": 0.48209047317504883} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.33333333333333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(-0.0294) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0098) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(-0.0294) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0098) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0098) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2... | null | {"circuits": [], "gradients": []} |
01c509cf41fe904ef36f9c73fa58f4df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [245, 213], "expectation_value": -2.573732380872007, "params": [0.39830000000000004, -0.0028, 0.39490000000000003, -0.0032, 0.40230000000000005, 0.0009000000000000001, 0.4025, -0.0001, 0.3906, 0.0063, 0.3916, 0.0048000000000000004, 0.4, 0.0036000000000000003, 0.40840000000000004, 0.0031000000000000003, 0.054... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101010", "10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3983) q[0];
rz(-0.0028) q[0];
rx(0.4023) q[1];
rz(0.0009) q[1];
rx(0.3906) q[2];
rz(0.0063) q[2];
rx(0.4) q[3];
rz(0.0036) q[3];
rx(0.0544) q[4];
rz(0.2036) q[4];
rx(0.4053) q[5];
rz(0.0947) q[5];
rx(0.0025) q[6];
rz(0.2059) q[6];
rx(0.4081) q[7];
rz(0.08... | OPENQASM 3.0;
include "stdgates.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": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.77697587434657, "params": [[0.0742, 0.0568], [-0.0786, -0.0497]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007179758954928035, 0.007674903958068937], "optimization_time": 3.3026719093322754} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1484) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.0742) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(-0.1484) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.2597) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d6953bd37e15b5578f99959087c822df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [28, 30], "expectation_value": -4.036067450714696, "params": [0.7844, 0.2701, 0.1034, 0.5406000000000001, -0.005, 0.4596, 0.8102, 0.25070000000000003, 0.7995, 0.0029000000000000002, 0.7992, 0.0016, 0.7867000000000001, 0.006, 0.0021000000000000003, 0.4748, 0.7849, 0.0073, 0.10310000000000001, 0.0089, -0.0082,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(6) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["11100001", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7844) q[0];
rz(0.2701) q[0];
rx(0.1034) q[1];
rz(0.5406) q[1];
rx(-0.005) q[2];
rz(0.4596) q[2];
rx(0.8102) q[3];
rz(0.2507) q[3];
rx(0.7995) q[4];
rz(0.0029) q[4];
rx(0.7992) q[5];
rz(0.0016) q[5];
rx(0.7867) q[6];
rz(0.006) q[6];
rx(0.0021) q[7];
rz(0.4... | 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[... | null | {"circuits": [], "gradients": []} |
d90652a88af9747c86f6073769af6570 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 8}, {"weight": 19, "source": 1, "target": 6}, {"weight": 3, "sourc... | {"states": [412, 220], "expectation_value": -18.925873728633427, "params": [[-0.0329, -0.006900000000000001], [0.0616, 0.0659]], "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006660419023954825, 0.0075597705251989975], "optimization_time": 3.108258008956909} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 19.5 * Z(1) + 5.0 * Z(0) + 9.5 * Z(2) + 15.0 * Z(4) + 6.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100100011"]} | 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(-0.329) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.329) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.329) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.329) q[4];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [178, 182], "expectation_value": -0.8491848191771222, "params": [1.607, 0.0073, 0.9932000000000001, 0.009600000000000001, 1.6092000000000002, 0.004200000000000001, 1.6085, 0.0002, 0.0026000000000000003, 0.0066, 1.5995000000000001, 0.006200000000000001, 1.6049, 0.0014, 1.2723, 0.0057, 0.0059, 0.0057, 0.006500... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.607) q[0];
rz(0.0073) q[0];
rx(0.9932) q[1];
rz(0.0096) q[1];
rx(1.6092) q[2];
rz(0.0042) q[2];
rx(1.6085) q[3];
rz(0.0002) q[3];
rx(0.0026) q[4];
rz(0.0066) q[4];
rx(1.5995) q[5];
rz(0.0062) q[5];
rx(1.6049) q[6];
rz(0.0014) q[6];
rx(1.2723) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cba3c0f3028bedd24c97c562399fe60f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [13, 21], "expectation_value": -3.9962371470604108, "params": null, "bitstrings": ["1110010", "1101010"], "total_optimization_steps": 23, "probabilities": [0.06706855356070486, 0.9294631320283301], "optimization_time": 17.08131432533264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111010", "1111000", "1101010", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(-1.4449) q[1];
ry(1.4417) q[6];
ry(1.4417) q[4];
cry(-1.0398) q[2], q[3];
ry(0.6944) q[2];
cry(-0.1259) q[6], q[1];
ry(-0.451) q[3];
cry(0.4963) q[6], q[2];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [7, 13], "expectation_value": -1.8232446075350919, "params": [[0.039900000000000005, -0.0074, 0.048100000000000004], [-0.0505, -0.0149, -0.0347]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.020456317237915495, 0.02063396199849971], "optimization_time": 5.874456882... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1397) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1397) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1397) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1397) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1397... | OPENQASM 3.0;
include "stdgates.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... | {"k": 3} | {"circuits": [], "gradients": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.249999933331463, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 22, "probabilities": [8.327887109606272e-09, 0.999999991661056], "optimization_time": 21.56695866584778} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[4];
ry(-1.5708) q[1];
ry(-1.5486) q[5];
ry(-1.5681) q[3];
cry(-0.0222) q[7], q[5];
cry(-0.0027) q[7], q[3];
c[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[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[... |
dd83253949a28072d063600df3623a69 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [0, 7], "expectation_value": -11.888644251033451, "params": [-0.0025, 0.0017000000000000001, -0.0025, 0.0131, -0.0025, 0.0007, -0.0027, 0.934, -0.0023, 0.6674, -0.9867, -0.0014, 1.4965000000000002, 0.0018000000000000002, 0.0008, -0.0008, 3.1431, -0.0027, 3.1392, -2.1521], "bitstrings": ["1111111", "1111000"]... | 0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(3) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 4 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0025) q[0];
rz(0.0017) q[0];
rx(-0.0025) q[1];
rz(0.0131) q[1];
rx(-0.0025) q[2];
rz(0.0007) q[2];
rx(-0.0027) q[3];
rz(0.934) q[3];
rx(-0.0023) q[4];
rz(0.6674) q[4];
rx(-0.9867) q[5];
rz(-0.0014) q[5];
rx(1.4965) q[6];
rz(0.0018) q[6];
crx(-2.1521) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 2} | {"circuits": [], "gradients": []} |
-2226639762491799027 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [2, 3], [0, 5], [0, 2], [5, 6], [1, 3], [2, 6], [1, 5], [3, 4], [0, 1], [1, 6]]} | {"states": [54, 73], "expectation_value": -0.06664767156710173, "params": [[-0.0533], [0.0579]], "bitstrings": ["1001001", "0110110"], "total_optimization_steps": 10, "probabilities": [0.008495594244634787, 0.008495594244634787], "optimization_time": 0.562880277633667} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110110", "1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(-0.0533) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0533) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0533) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.0533) q[0];
cx q[2], q[0];
cx q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[2], q[0];
... | null | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [109, 110], "expectation_value": -2.9952854066618197, "params": null, "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 54, "probabilities": [0.07769502901641709, 0.7755989784923617], "optimization_time": 96.2847352027893} | 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)) + ... | 1 | 8 | 2 | {"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;
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(-1.5158) q[3];
cry(-1.3016) q[6], q[7];
ry(0.7835) q[6];
ry(-0.532) q[7];
ry(1.0334) q[4];
cry(-1.2414) q[5], q[0];
ry(1.29) q[1];
cry(0.5007) q[1], q[4];
cry(-0.5429) q[2], q[0];
ry(0.9089) 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(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [267, 395], "expectation_value": -2.4064785225044916, "params": [0.3005, 0.0007, 0.2983, -0.0009000000000000001, 0.2968, -0.0105, 0.29660000000000003, -0.0063, 0.0741, 0.10400000000000001, 0.079, 0.10840000000000001, -0.0048000000000000004, 0.2019, 0.0007, 0.22890000000000002, 0.083, 0.10980000000000001, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.... | 7 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100100", "001110100", "100100101", "001110010", "011110000", "001101100", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3005) q[0];
rz(0.0007) q[0];
rx(0.2968) q[1];
rz(-0.0105) q[1];
rx(0.0741) q[2];
rz(0.104) q[2];
rx(-0.0048) q[3];
rz(0.2019) q[3];
rx(0.083) q[4];
rz(0.1098) q[4];
rx(0.2992) q[5];
rz(0.0338) q[5];
rx(0.0783) q[6];
rz(-0.0956) q[6];
rx(0.3063) 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... | null | {"circuits": [], "gradients": []} |
5034f358b60bb2416ead39a148c379a9 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [20, 58], "expectation_value": -1.4661889404458028, "params": [[0.0688, 0.0631, 0.0801], [-0.0746, -0.051500000000000004, -0.0722]], "bitstrings": ["1111101011", "1111000101"], "total_optimization_steps": 10, "probabilities": [0.002045959070193888, 0.0020459590701938884], "optimization_time": 11.683468103408... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111000011", "1110100101", "1110100011", "1111101011", "1111101101"... | 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[9], q[6];
rz(0.0688) q[6];
cx q[9], q[6];
cx q[9], q[3];
rz(-0.0688) q[3];
cx q[9], q[3];
cx q[6], q[3];
rz(-0.1376) q[3];
cx q[6], q[3];
cx q[9], q[4];
rz(-0.0688) q[4];
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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
031f86bbd0b45f66ab8a2409f4882ab1 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.644100131331529, "params": [0.0008, -0.2595, -0.0005, -0.264, 0.0034000000000000002, -0.2506, 0.0015, -0.2856, 0.0017000000000000001, -0.3017, 0.002, -0.29960000000000003, 0.0031000000000000003, -0.2978, 0.0021000000000000003, -0.2959, 0.004200000000000001, -0.2931, -0.0001, -... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0008) q[0];
rz(-0.2595) q[0];
rx(0.0034) q[1];
rz(-0.2506) q[1];
rx(0.0017) q[2];
rz(-0.3017) q[2];
rx(0.0031) q[3];
rz(-0.2978) q[3];
rx(0.0042) q[4];
rz(-0.2931) q[4];
rx(0.004) q[5];
rz(-0.2887) q[5];
rx(0.0045) q[6];
rz(-0.2838) q[6];
rx(0.0061) 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": []} |
3439653592940425701 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 9, 4], [0, 4, 5, 7, 8, 10], [2, 3, 6, 8, 9], [0, 9, 7], [0, 1, 7], [0, 1, 2, 3, 5, 6, 10], [9, 10, 5], [10, 3, 4, 5], [3, 6, 7, 8, 10], [9, 2, 1, 6], [1, 2, 4, 7], [4, 5, 6, 8, 10], [1, 2, 5, 6, 7, 8, 10], [0, 1, 5, 6, 8, 10], [0, 1, 5, 6, 9], [9, 10, 3],... | {"states": [2045, 1277], "expectation_value": -3.1850641047938124, "params": [1.3796000000000002, 1.3838000000000001, 0.7568, 0.9462, 0.6247, 0.6538, 0.7832, 1.2271, 1.3639000000000001, 1.3863, 1.3723, 1.3897000000000002, 1.3853, 1.3769, 1.3712, 1.3855000000000002, 0.9716, 0.9423, 1.3842, 1.3831, 1.389, 1.3808, 0.83500... | 0.21666666666666667 * (Z(9) @ Z(10)) + 0.21666666666666667 * (Z(5) @ Z(10)) + 0.3833333333333333 * (Z(5) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(10)) + 0.31666666666666665 * (Z(0) @ Z(9)) + 0.11666666666666667 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(10)) + 0.14047619047619048 * (Z(6) @ Z(9)) + 0.16666666666... | 14 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.566666666666666, "smallest_bitstrings": ["01100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3796) q[0];
ry(0.7568) q[1];
ry(0.6247) q[2];
ry(0.7832) q[3];
ry(1.3639) q[4];
ry(1.3723) q[5];
ry(1.3853) q[6];
ry(1.3712) q[7];
ry(0.9716) q[8];
ry(1.3842) q[9];
ry(1.389) q[10];
crx(0.835) q[10], q[0];
crx(0.5422) q[9], q[10];
crx(0.5805) 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -3.9618355162387298, "params": [1.0332000000000001, 0.1608, 1.0377, 0.2112, 0.6074, 0.3885, 1.0372000000000001, 0.21910000000000002, 0.5596, 0.4108, 1.0365, 0.108, 0.5864, 0.4164, 1.0246, 0.19240000000000002, 1.028, 0.059500000000000004, 0.9953000000000001, 0.1332, 0.9698, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0332) q[0];
rz(0.1608) q[0];
rx(1.0377) q[1];
rz(0.2112) q[1];
rx(0.6074) q[2];
rz(0.3885) q[2];
rx(1.0372) q[3];
rz(0.2191) q[3];
rx(0.5596) q[4];
rz(0.4108) q[4];
rx(1.0365) q[5];
rz(0.108) q[5];
rx(0.5864) q[6];
rz(0.4164) q[6];
rx(1.0246) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
fbeca3287c88ac656e8f44e35837a20d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [173, 109], "expectation_value": -33.36837699923367, "params": null, "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.0674883042215478, 0.26759242894517665], "optimization_time": 159.27273845672607} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[4];
ry(63.0262) q[5];
ry(63.114) q[2];
cry(1.4809) q[2], q[4];
ry(0.3263) q[7];
cry(0.3699) q[4], q[2];
cry(-0.122) q[4], q[7];
cry(0.2335) q[2], q[7];
cry(-1.4492) q[7], q[6];
cry(1.... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
d718199120caa09970ec0112edaecdf9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 3], "expectation_value": -7.779210955223696, "params": [[0.061700000000000005], [-0.0799]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012931328928284472, 0.013627572668486488], "optimization_time": 2.8092329502105713} | 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)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 18 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.3394) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3394) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3394) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3394) 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] 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[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} |
53c11691570e44ca420dcd92cb36ab0e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [206, 205], "expectation_value": -8.067609335690737, "params": [[0.0055000000000000005, 0.0315], [-0.0206, -0.0409]], "bitstrings": ["100110001", "100110010"], "total_optimization_steps": 10, "probabilities": [0.0030210558711747707, 0.0033367652754487847], "optimization_time": 3.342014789581299} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(8)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(5)) + 10.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.055) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.055) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.055) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.055) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
96ccbb83c354723a5662bdaecab6064e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 256], "expectation_value": -7.274239947279039, "params": [-0.0009000000000000001, 0.11270000000000001, -0.0026000000000000003, 0.11040000000000001, 0.0074, 0.1216, 0.0043, 0.1535, 0.2078, -0.0017000000000000001, 0.20570000000000002, 0.002, 0.0029000000000000002, 0.1393, 0.001, 0.13140000000000002, 0.0004... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 7 | 11 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.75, "smallest_bitstrings": ["11000111011", "11011111111", "10000010010", "10000010000", "10000000000", "11001111011", "10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0009) q[0];
rz(0.1127) q[0];
rx(0.0074) q[1];
rz(0.1216) q[1];
rx(0.2078) q[2];
rz(-0.0017) q[2];
rx(0.0029) q[3];
rz(0.1393) q[3];
rx(0.0004) q[4];
rz(0.167) q[4];
rx(0.0024) q[5];
rz(0.1614) q[5];
rx(0.0027) q[6];
rz(0.1345) q[6];
rx(0.0048) 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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.8607004701853205, "params": [[-0.0627, 0.01], [0.0765, 0.028]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007388824486508778, 0.00765486824032466], "optimization_time": 4.402473449707031} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0941) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1254) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1568) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(-0.2822) q[7];
cx q[0], q[7];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -17.690581679263804, "params": [[-0.043500000000000004], [0.1579]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 20, "probabilities": [0.013722881078101646, 0.013930863187526486], "optimization_time": 1.8188056945800781} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "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[1], q[0];
rz(-0.348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.348) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.348) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.348) q[3];
cx q[4], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.008107656351896133, "params": [[0.0568], [-0.0478]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002522780010192174, 0.00025227800101921747], "optimization_time": 9.37388300895691} | 0.25 * (Z(0) @ Z(1)) + -0.0013888888888888892 * (Z(2) @ Z(0)) + -0.0013888888888888892 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0010416666666666667 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0010416666666666667 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0284) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
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": -17.69788173469117, "params": [-0.14800000000000002, 0.0125, -0.154, 0.011300000000000001, -0.0009000000000000001, 0.16590000000000002, 0.0011, 0.1635, -0.0016, 0.1292, 0.0074, 0.1699, 0.0006000000000000001, 0.14500000000000002, -0.0011, 0.1273, 0.0081, 0.1, -0.002, 0.1615, -0.00... | -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 * (... | 6 | 10 | 4 | {"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(-0.148) q[0];
rz(0.0125) q[0];
rx(-0.0009) q[1];
rz(0.1659) q[1];
rx(-0.0016) q[2];
rz(0.1292) q[2];
rx(0.0006) q[3];
rz(0.145) q[3];
rx(0.0081) q[4];
rz(0.1) q[4];
rx(-0.003) q[5];
rz(0.1124) q[5];
rx(0.0043) q[6];
rz(0.1595) q[6];
rx(-0.0012) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [10, 42], "expectation_value": -3.0719332890006465, "params": null, "bitstrings": ["110101", "010101"], "total_optimization_steps": 34, "probabilities": [0.1326371409892334, 0.677494673987298], "optimization_time": 26.613866567611694} | 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];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
cry(-1.0398) q[4], q[5];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[4];
ry(0.7022) q[2];
ry(-0.4578) q[3];
ry(-0.4578) q[5];
cry(0.4586) q[4], q[2];
cry(0.4522) q[2], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-6423939220827338176 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 2], [1, 6], [0, 5], [3, 6], [1, 3], [0, 4], [1, 5], [2, 3], [1, 4], [4, 5], [0, 1]]} | {"states": [31, 83], "expectation_value": -2.5379421600114647, "params": null, "bitstrings": ["1100000", "0101100"], "total_optimization_steps": 54, "probabilities": [0.04588794794385757, 0.7127289429481165], "optimization_time": 62.95909404754639} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "1010011", "0101010", "0101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[1];
ry(0.7003) q[6];
cry(-0.7092) q[5], q[1];
cry(1.1516) q[6], q[5];
cry(1.2546) q[5], q[2];
cry(-0.4071) q[2], q[1];
cry(-1.3407) q[0], q[3];
cry(0.6656) q[2], q[6];
ry(0.8498) q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [11, 27], "expectation_value": -1.489982699003778, "params": [[[0.1283, 0.0032], [1.6017000000000001, 0.0022], [1.6049, 0.009000000000000001], [0.5399, 0.0061], [1.6134000000000002, 0.001], [1.6137000000000001, 0.006500000000000001]]], "bitstrings": ["110100", "100100"], "total_optimization_steps": 160, "pro... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1283) q[0];
rz(0.0032) q[0];
rx(1.6017) q[1];
rz(0.0022) q[1];
rx(1.6049) q[2];
rz(0.009) q[2];
rx(0.5399) q[3];
rz(0.0061) q[3];
rx(1.6134) q[4];
rz(0.001) q[4];
rx(1.6137) q[5];
rz(0.0065) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
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