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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-6508177323496590703 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [29, 226], "expectation_value": -0.14895070165150504, "params": [[0.0721], [-0.07590000000000001]], "bitstrings": ["11100010", "00011101"], "total_optimization_steps": 10, "probabilities": [0.004617506068973659, 0.004617506068973659], "optimization_time": 0.6559298038482666} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(0.0721) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(0.0721) q[6];
cx q[7], q[6];
cx q[6], q[3];
rz(0.0721) q[3];
cx q[6], q[3];
cx q[7], q[0];
rz(0.0721) q[0];
cx q[7], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[7]... | null | {"circuits": [], "gradients": []} |
7f447f2ea35abe57fb9c79f648abf43b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [303, 299], "expectation_value": -82.5559774534752, "params": [0.4983, 0.497, 0.0874, 0.09050000000000001, 0.08950000000000001, 0.0981, 0.49760000000000004, 0.4993, 0.4434, 0.2627, 0.4897, 0.49400000000000005, 0.25570000000000004, 0.2531, 0.4834, 0.48710000000000003, 0.4818, 0.4728, 0.5008, 0.501400000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 9.5 * Z(0) + 3.5 * Z(1) + 10.0 * Z(3) + 2.5 * Z(2) + 22.0 * Z(5) + -6.5 * Z(4)... | 14 | 9 | 3 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4983) q[0];
ry(0.0874) q[1];
ry(0.0895) q[2];
ry(0.4976) q[3];
ry(0.4434) q[4];
ry(0.4897) q[5];
ry(0.2557) q[6];
ry(0.4834) q[7];
ry(0.4818) q[8];
crx(0.2058) q[8], q[0];
crx(-0.3143) q[7], q[8];
crx(-0.3144) q[6], q[7];
crx(-0.0342) q[5], q[6];
crx(0.32... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x11;
input float[64] x12;
inp... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3798, 3799], "expectation_value": -3.249449752876731, "params": [[[0.30820000000000003, -0.009000000000000001], [0.7785000000000001, -0.0067], [0.7844, -0.006200000000000001], [0.0071, 0.0036000000000000003], [0.7673, 0.013300000000000001], [0.7685000000000001, 0.014100000000000001], [0.1272, 0.039900000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "100000000101", "010000100001", "001000100010", "001000010100", "000100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3082) q[0];
ry(0.7785) q[1];
ry(0.7844) q[2];
ry(0.0071) q[3];
ry(0.7673) q[4];
ry(0.7685) q[5];
ry(0.1272) q[6];
ry(0.8827) q[7];
ry(0.2502) q[8];
ry(0.4467) q[9];
ry(0.5638) q[10];
ry(0.2348) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a95825927ec7bde0a2fb4311f797c48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 12, "source": 1, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -83.01315014249961, "params": [0.7681, -0.40790000000000004, 0.7671, 0.0081, 1.395, 0.18530000000000002, 1.3972, 0.006500000000000001, 1.3984, 0.2044, 1.3968, 0.007200000000000001, 1.4039000000000001, 0.1993, 1.3992, 0.005200000000000001, 0.0027, 0.7976000000000001, 0.0033, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 8.5 * Z(0) + 21.0 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7681) q[0];
rz(-0.4079) q[0];
rx(1.395) q[1];
rz(0.1853) q[1];
rx(1.3984) q[2];
rz(0.2044) q[2];
rx(1.4039) q[3];
rz(0.1993) q[3];
rx(0.0027) q[4];
rz(0.7976) q[4];
rx(1.4034) q[5];
rz(0.1691) q[5];
rx(0.0032) q[6];
rz(0.7446) q[6];
rx(0.3933) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 15.642027139663696} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-1.0343) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4962) q[0], q[2];
cry(-0.3788) q[0], q[5];
cry(0.24... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4743a42b98680c4f321c8f72a752812d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [446, 447], "expectation_value": -11.114031889911338, "params": [[[1.0767, 0.0021000000000000003, 0.0097, 0.0032], [0.2958, 0.0017000000000000001, -0.07060000000000001, 0.0098], [0.0015, 0.6532, 0.0045000000000000005, 0.6506000000000001], [0.5873, -0.0128, 0.5962000000000001, 0.009000000000000001], [-0.00420... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 12 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.0767) q[0];
rz(0.0021) q[0];
ry(0.2958) q[1];
rz(0.0017) q[1];
ry(0.0015) q[2];
rz(0.6532) q[2];
ry(0.5873) q[3];
rz(-0.0128) q[3];
ry(-0.0042) q[4];
rz(0.0787) q[4];
ry(0.9158) q[5];
rz(0.0022) q[5];
ry(-0.6643) q[6];
rz(0.0136) q[6];
ry(-0.0116) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
155388a51f67e78b5cb4ef00a89a070e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [71, 85], "expectation_value": -3.4991049506313137, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 34, "probabilities": [0.06552859477802893, 0.9338463427814478], "optimization_time": 28.262308359146118} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101010", "0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[6];
ry(1.4417) q[0];
ry(1.4417) q[4];
cry(-1.0342) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
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(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [38, 7], "expectation_value": -2.0865227319060557, "params": [[-0.0267, -0.038], [0.0095, 0.0333]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.00938433255462504, 0.009616788803351952], "optimization_time": 5.257248878479004} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(-0.1202) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1202) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1202) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1202) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
1f7ecc280cda61f5cab84a61a88936dc | 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}, {"id": 13}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [65535, 65504], "expectation_value": -6.19043104365672, "params": [[-0.0694], [0.0755]], "bitstrings": ["0000000000000000", "0000000000011111"], "total_optimization_steps": 10, "probabilities": [6.654065628554838e-05, 6.864090800898402e-05], "optimization_time": 87.74002456665039} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(8)) + 1.5... | 10 | 16 | 1 | {"smallest_eigenvalues": [-55.49999999999949], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.49999999999907, "smallest_bitstrings": ["0000000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.347) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.347) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2776) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"node": 11} | {"circuits": [], "gradients": []} |
570afb120ac224dc3123b6884272022a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 13], "expectation_value": -1.0285472668974687, "params": [[-0.0625, -0.050300000000000004, -0.0724], [0.0712, 0.063, 0.0675]], "bitstrings": ["0011011", "1110010"], "total_optimization_steps": 10, "probabilities": [0.01344314698794075, 0.013444924960337166], "optimization_time": 3.9070661067962646} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "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];
cx q[2], q[0];
rz(-0.0625) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0625) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0625) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.0625) q[6];
cx q[0], q[6];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
3670c7801b6cdd8a09a5039cdc5a60e0 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [57, 29], "expectation_value": -3.9991448354521024, "params": null, "bitstrings": ["1000110", "1100010"], "total_optimization_steps": 34, "probabilities": [0.06552939788250299, 0.9338659278590015], "optimization_time": 23.800387382507324} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000110", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[0];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[6];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], 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(-1.5681) 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", ... |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 120.21930360794067} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5577) q[1];
ry(0.7408) q[5];
cry(-0.0006) q[1], q[5];
cry(0.8301) q[7], q[5];
ry(1.5708) q[3];
ry(1.4645) q[7];
cry(-1.5353) q[3], q[5];
cry(2.0225) q[2], q[5];
cry(-1.5708) q[7], q[0];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
3535320976369678949 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6]]} | {"states": [105, 77], "expectation_value": -0.003650379292741014, "params": [[-0.07150000000000001], [0.0487]], "bitstrings": ["0010110", "0110010"], "total_optimization_steps": 10, "probabilities": [0.007863319321163777, 0.00786331932116378], "optimization_time": 10.52524709701538} | 0.06666666666666667 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.4000000000000001, -0.4000000000000001, -0.4000000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["0011010", "0110010", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0095) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0095) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0095) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0095) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.04051204920856728, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.1277368652796091, 0.1326509586606666], "optimization_time": 2.065955877304077} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.012) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.024) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.012) q[2];
cx q[0], q[2];
rz(-0.06) q[1];
rz(-0.03) q[0];
rz(-0.06) q[2];
h q[0];
rz(-0.0392) q[0];
h q[0];
h q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -22.408249239262943, "params": null, "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04964522535713507, 0.8088762612629546], "optimization_time": 203.64443850517273} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 4 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | 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(18.1362) q[7];
ry(12.4878) q[3];
ry(0.0298) q[6];
cry(0.2634) q[5], q[3];
cry(0.3291) q[9], q[3];
cry(0.1964) q[8], q[3];
cry(0.1098) q[1], q[3];
cry(0.0585) q[0], q[3];
ry(0.... | null | {"source": 0, "sink": 5} | {"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(18.1362) 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... |
e21ce055fb43ca19f8a0e6dffd4c363b | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [400, 432], "expectation_value": -6.636311714169724, "params": [[[0.0016, 0.0021000000000000003], [1.6297000000000001, 0.0055000000000000005], [1.7051, 0.0004], [-0.0016, 0.004], [1.6162, 0.0074], [1.7031, 0.0023], [-0.006500000000000001, 0.006500000000000001], [1.5169000000000001, 0.0011], [1.4957, 0.000300... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -7.5, "smallest_bitstrings": ["1101111000", "0111101001", "0111111000", "1001101011", "1101001101", "1001001111", "1001110011", "1101101001", "1001010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0016) q[0];
rz(0.0021) q[0];
rx(1.6297) q[1];
rz(0.0055) q[1];
rx(1.7051) q[2];
rz(0.0004) q[2];
rx(-0.0016) q[3];
rz(0.004) q[3];
rx(1.6162) q[4];
rz(0.0074) q[4];
rx(1.7031) q[5];
rz(0.0023) q[5];
rx(-0.0065) q[6];
rz(0.0065) q[6];
rx(1.5169) 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": []} |
fdd5a11f2be90637dfa114c5640edb58 | 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": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [773, 781], "expectation_value": -5.191293745054399, "params": [0.8092, 0.8025, 0.8093, 0.8088000000000001, -0.015000000000000001, -0.0158, -0.016300000000000002, -0.0148, 0.1496, 0.1507, -0.0055000000000000005, -0.0105, 0.8026000000000001, 0.8004, 0.7967000000000001, 0.8034, -0.0158, -0.010700000000000001, ... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8092) q[0];
ry(0.8093) q[1];
ry(-0.015) q[2];
ry(-0.0163) q[3];
ry(0.1496) q[4];
ry(-0.0055) q[5];
ry(0.8026) q[6];
ry(0.7967) q[7];
ry(-0.0158) q[8];
ry(0.8048) q[9];
crx(0.797) q[9], q[0];
crx(0.7387) q[8], q[9];
crx(-0.0129) q[7], q[8];
crx(0.7862) 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": []} |
4866216857570050507 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3], [3, 6, 7, 8, 9], [0, 3, 4, 5, 6], [1, 2, 4, 6, 7, 8], [8, 5, 6], [1, 3, 4, 5, 6, 7], [2, 5], [0, 9, 2, 1], [9, 5], [0, 1, 5, 7], [9, 3, 4], [2, 3, 7]]} | {"states": [943, 687], "expectation_value": -3.234441571384219, "params": [1.6913, -0.0565, 1.4183000000000001, 0.009600000000000001, 1.2386000000000001, -0.2967, 0.8833000000000001, 0.0039000000000000003, 1.6512, -0.0485, 1.4834, 0.0073, 0.6786, -0.6018, 0.6517000000000001, 0.0028, 1.6851, 0.0011, 1.4357, 0.0076, 0.15... | 0.19999999999999998 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(3)) + 0.1166666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2666666666666666, "smallest_bitstrings": ["0101010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6913) q[0];
rz(-0.0565) q[0];
rx(1.2386) q[1];
rz(-0.2967) q[1];
rx(1.6512) q[2];
rz(-0.0485) q[2];
rx(0.6786) q[3];
rz(-0.6018) q[3];
rx(1.6851) q[4];
rz(0.0011) q[4];
rx(0.1525) q[5];
rz(0.5635) q[5];
rx(1.6817) q[6];
rz(-0.0291) q[6];
rx(1.6872) 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": []} |
18c5f7c2ce8331e800bea78b71ea2f0c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [0, 224], "expectation_value": -22.592886510466606, "params": [-0.0026000000000000003, 0.20550000000000002, 0.0019, 0.3961, -1.6329, -0.0, 0.0024000000000000002, 0.0007, -0.0025, 0.0099, 0.0025, 0.0031000000000000003, 0.0024000000000000002, 0.0025, 0.0025, 0.00030000000000000003, 3.1376, 3.1436, -1.1646, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 4 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0026) q[0];
rz(0.2055) q[0];
rx(0.0019) q[1];
rz(0.3961) q[1];
rx(-1.6329) q[2];
rz(0) q[2];
rx(0.0024) q[3];
rz(0.0007) q[3];
rx(-0.0025) q[4];
rz(0.0099) q[4];
rx(0.0025) q[5];
rz(0.0031) q[5];
rx(0.0024) q[6];
rz(0.0025) q[6];
rx(0.0025) 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -0.546002868448184, "params": [[0.06960000000000001, 0.075], [-0.053700000000000005, -0.058800000000000005]], "bitstrings": ["110001", "110010"], "total_optimization_steps": 10, "probabilities": [0.020425028718909836, 0.021090862353208437], "optimization_time": 3.09994959831237... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0696) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0696) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0696) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0696) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0696... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
7364134617263499022 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [56, 26], "expectation_value": -0.3797419443714409, "params": [0.9869, -0.2436, 0.7085, 0.0048000000000000004, 1.0001, 0.3774, 0.8928, 0.0022, 0.9919, 0.3624, 0.9118, 0.0092, 0.9777, 0.3912, 0.6601, 0.0001, 1.0018, -0.29610000000000003, 0.9807, 0.0026000000000000003, 0.9896, 0.41490000000000005, 0.7161000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.9869) q[0];
rz(-0.2436) q[0];
rx(1.0001) q[1];
rz(0.3774) q[1];
rx(0.9919) q[2];
rz(0.3624) q[2];
rx(0.9777) q[3];
rz(0.3912) q[3];
rx(1.0018) q[4];
rz(-0.2961) q[4];
rx(0.9896) q[5];
rz(0.4149) q[5];
crz(-0.3973) q[5], q[4];
crz(0.3893) q[5], q[3];
crz(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": []} |
e087bb7a2ab5b6cd6822b49db98164ad | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [3, 63], "expectation_value": -0.1936285003122359, "params": [[0.0584], [-0.049800000000000004]], "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008687531966814733, 0.008731205480323103], "optimization_time": 1.7566075325012207} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1010000", "1111100", "1110100", "1011000"]} | 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(-0.0584) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0584) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.146) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0876) q[2];
cx q[4], q[2];
cx q[5], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [66, 3], "expectation_value": -19.999569717192045, "params": [[-0.0364, -0.01, 0.0046, 0.0193], [0.07350000000000001, 0.0671, 0.060700000000000004, 0.0516]], "bitstrings": ["0111101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.020811357657890696, 0.02276219667261071], "optimization_time"... | 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... | 13 | 7 | 4 | {"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(-0.2002) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2002) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2002) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
28550855a20366800e3fd917bf6489e0 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -4.771876686961502, "params": [0.0053, 0.24400000000000002, 0.0034000000000000002, 0.30060000000000003, 0.0006000000000000001, 0.3104, 0.006, 0.2957, 0.0011, 0.20570000000000002, 0.0028, 0.3035, 0.0011, 0.2761, 0.4066, 0.004, -0.0007, 0.2479, 0.0002, 0.31270000000000003, 0.0059, ... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0053) q[0];
rz(0.244) q[0];
rx(0.0034) q[1];
rz(0.3006) q[1];
rx(0.0006) q[2];
rz(0.3104) q[2];
rx(0.006) q[3];
rz(0.2957) q[3];
rx(0.0011) q[4];
rz(0.2057) q[4];
rx(0.0028) q[5];
rz(0.3035) q[5];
rx(0.0011) q[6];
rz(0.2761) q[6];
rx(0.4066) 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] 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": []} |
b0dd1050887f092ff1c439d2cb12f6fe | 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": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.002526793745601, "params": [[0.058600000000000006, 0.027200000000000002, -0.0385, -0.0434], [-0.0688, -0.0483, -0.0095, 0.0211]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00659438094933527, 0.007361832791188287], "optimizatio... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 4 | {"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];
cx q[1], q[0];
rz(-0.1172) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0879) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.1465) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(-0.1172) q[6];
cx q[5], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [186, 124], "expectation_value": -8.085439424316897, "params": [[-0.0417], [0.0487]], "bitstrings": ["01000101", "10000011"], "total_optimization_steps": 10, "probabilities": [0.006010780527971782, 0.006521299432981605], "optimization_time": 2.494814872741699} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000011"]} | 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(-0.2919) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2919) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2919) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2919) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [5, 13], "expectation_value": -1.7498922833597426, "params": [[[-0.0022, 0.6577000000000001], [-0.4994, 0.2577], [0.7865000000000001, -0.0028], [0.007200000000000001, 0.9644], [0.5352, -0.0002]], [[0.0011, 0.6987], [-0.4948, 0.24860000000000002], [0.7899, -0.0026000000000000003], [-0.0067, 1.0385], [0.5358, ... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0022) q[0];
rz(0.6577) q[0];
rx(-0.4994) q[1];
rz(0.2577) q[1];
rx(0.7865) q[2];
rz(-0.0028) q[2];
rx(0.0072) q[3];
rz(0.9644) q[3];
rx(0.5352) q[4];
rz(-0.0002) q[4];
rx(0.0011) q[0];
rz(0.6987) q[0];
rx(-0.4948) q[1];
rz(0.2486) q[1];
rx(0.7899) 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": 4} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.9596683979034424} | 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 | 3 | {"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];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
ry(0.7003) q[0];
ry(-0.4549) q[1];
cry(-0.2376) q[1], q[0];
cry(-0.0027) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [127, 63], "expectation_value": -11.797865798154653, "params": [[[0.0032, 0.0475], [-0.0021000000000000003, 0.002], [0.007500000000000001, 0.0025], [0.0027, 0.0025], [0.0048000000000000004, 0.0027], [-0.0004, -0.02], [1.5926, -0.0006000000000000001]], [[-0.0716, -1.7352], [-0.0033, -0.0591], [-0.003400000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 15 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0032) q[0];
ry(-0.0021) q[1];
ry(0.0075) q[2];
ry(0.0027) q[3];
ry(0.0048) q[4];
ry(-0.0004) q[5];
ry(1.5926) 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(0.0475) q[0];
ry(0.002) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.2846909746737545, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 106.61949300765991} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "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];
ry(1.5708) q[5];
cry(1.5706) q[1], q[4];
cry(1.57) q[4], q[2];
cry(1.1547) q[2], q[1];
cry(0.4389) q[2], q[4];
cry(1.559) q[2], q[3];
cry(1.554) q[1], q[6];
cry(-1.4395) q[6], q[0];
cry(0.143) q[3], q[1];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
4455946038764589490 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 3, 4, 7, 8], [4, 5, 6], [0, 8, 1, 7], [0, 3, 5, 7], [1, 4, 6], [0, 8, 3, 6], [8, 2, 5, 6], [0, 1, 5, 6], [0, 2, 3, 6, 7], [0, 2, 3, 5], [2, 3, 4, 5, 7], [8, 1, 3, 6], [8, 1, 6, 7], [8, 4, 5, 7], [0, 1, 2, 6, 7]]} | {"states": [473, 238], "expectation_value": -2.146631265970149, "params": [[0.2807], [-0.2899]], "bitstrings": ["000100110", "100010001"], "total_optimization_steps": 40, "probabilities": [0.006216616995827767, 0.006262749682328541], "optimization_time": 21.89182424545288} | 0.1 * (Z(1) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.566666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.383333333333333, "smallest_bitstrings": ["100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.0561) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1497) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0749) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0749) 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[... | null | {"circuits": [], "gradients": []} |
9e7016c164f10697b0206c1127149a76 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.192853229097672, "params": [[[0.09430000000000001, -0.21730000000000002], [0.0876, 0.2185], [0.0876, 0.2185], [0.08360000000000001, 0.2242], [0.45790000000000003, 0.0018000000000000002], [0.4562, 0.00030000000000000003]], [[0.094, -0.2174], [0.0931, 0.2189], [0.0955, 0.2179],... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0943) q[0];
rz(-0.2173) q[0];
rx(0.0876) q[1];
rz(0.2185) q[1];
rx(0.0876) q[2];
rz(0.2185) q[2];
rx(0.0836) q[3];
rz(0.2242) q[3];
rx(0.4579) q[4];
rz(0.0018) q[4];
rx(0.4562) q[5];
rz(0.0003) q[5];
rx(0.094) q[0];
rz(-0.2174) q[0];
rx(0.0931) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 13], "expectation_value": -3.253188781498924, "params": null, "bitstrings": ["110101", "110010"], "total_optimization_steps": 27, "probabilities": [0.05945610366321868, 0.8450668453098138], "optimization_time": 23.90060567855835} | 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)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["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];
ry(-1.5681) q[1];
ry(-1.5486) q[0];
cry(-1.3016) q[5], q[4];
ry(1.2945) q[2];
ry(0.7837) q[5];
ry(-0.6338) q[4];
cry(1.3246) q[5], q[3];
cry(0.4629) q[2], q[5];
cry(-0.1352) q[3], q[4];
cry(0.2391) q[5], q[2];
ry... | 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... |
ae05ce72b7df15983d820553f894fc63 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [255, 223], "expectation_value": -0.2426201838714545, "params": [[0.062400000000000004], [-0.0644]], "bitstrings": ["00000000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.004688248061015739, 0.0047639248282284625], "optimization_time": 1.994722843170166} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 5 | 8 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"]} | 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(-0.1248) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.1872) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0624) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.1872) q[5];
cx q[3], q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4], q[3];
cx q[4], q... | {"node": 2} | {"circuits": [], "gradients": []} |
ec119cb03a08873c5ea07db697b243cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [76, 332], "expectation_value": -7.032996019214478, "params": [1.6369, 0.0056, 0.0023, 0.0049, 3.1437, 0.0083, -0.0027, 0.0077, 0.002, 0.0032, 3.1395, 0.0051, 3.1395, 0.001, 0.0024000000000000002, 0.0094, -0.0025, 0.0068000000000000005, 0.0059, 0.0001, 0.0048000000000000004, 0.0071, 0.0004, 0.0088, 0.0052000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["010110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6369) q[0];
rz(0.0056) q[0];
rx(0.0023) q[1];
rz(0.0049) q[1];
rx(3.1437) q[2];
rz(0.0083) q[2];
rx(-0.0027) q[3];
rz(0.0077) q[3];
rx(0.002) q[4];
rz(0.0032) q[4];
rx(3.1395) q[5];
rz(0.0051) q[5];
rx(3.1395) q[6];
rz(0.001) q[6];
rx(0.0024) 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": []} |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [23419, 23411], "expectation_value": -7.075238750544771, "params": [1.6289, 1.5116, 0.48600000000000004, 0.4812, 1.5236, 1.5232, 1.5913000000000002, 1.5882, 0.5719000000000001, 0.5772, 1.5885, 1.5799, 1.5719, 1.5776000000000001, 0.47040000000000004, 0.46640000000000004, 1.2894, 1.2817, 1.1488, 1.1765, 1.5755... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 13 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(1.6289) q[0];
ry(0.486) q[1];
ry(1.5236) q[2];
ry(1.5913) q[3];
ry(0.5719) q[4];
ry(1.5885) q[5];
ry(1.5719) q[6];
ry(0.4704) q[7];
ry(1.2894) q[8];
ry(1.1488) q[9];
ry(1.5755) q[10];
ry(0.7686) q[11];
ry(0.6364) q[12];
ry(1.6051) q[13];
ry(1.7714) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [3, 1], "expectation_value": -0.6552344518849234, "params": [[0.0668], [-0.0722]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010468199332498831, 0.010666911992414912], "optimization_time": 1.8572783470153809} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1111110", "1111100", "1010100", "1000100", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.1336) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.1002) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.1336) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.167) q[1];
cx q[4], q[1];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -3.2134636278675157, "params": [[-0.055200000000000006, -0.083], [0.055900000000000005, 0.07490000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015926113592447635, 0.021668930727152588], "optimization_time": 3.1786530017852... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.1656) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1104) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1104) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0552) q[4];
cx q[2], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
e3b5b65f220c2e22b6113c0ce5b41d18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [474, 476], "expectation_value": -0.4235774567233045, "params": [[[0.5691, -0.0009000000000000001, 0.0014, 0.0097], [0.8046000000000001, 0.0085, 0.7952, 0.0033], [0.7973, 0.003, 0.7995, 0.0078000000000000005], [0.8035, -0.0004, 0.8095, 0.0015], [0.8003, 0.061200000000000004, 0.7993, 0.0067], [0.7975, 0.63850... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(7) @ Z(6)) + 0.25 * (Z(1) @ Z(3))... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010100", "1001001001", "1000010011", "0101001001", "0100011100", "0010010110", "01000110... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5691) q[0];
rz(-0.0009) q[0];
ry(0.8046) q[1];
rz(0.0085) q[1];
ry(0.7973) q[2];
rz(0.003) q[2];
ry(0.8035) q[3];
rz(-0.0004) q[3];
ry(0.8003) q[4];
rz(0.0612) q[4];
ry(0.7975) q[5];
rz(0.6385) q[5];
ry(0.7991) q[6];
rz(-0.0036) q[6];
ry(0.8033) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e61b9b6cad8366f7e670366fe202a3e7 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 158.68546056747437} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[3];
ry(2.9174) q[1];
ry(62.9644) q[4];
ry(63.1256) q[2];
cry(-63.359) q[2], q[3];
ry(17.0178) q[6];
cry(-62.8095) q[1], q[3];
cry(6.7393) q[7], q[3];
ry(9.4026) q[5];
cry(-25.2145) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9f43fe75b2280c840369a5d99b502e49 | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [14, 42], "expectation_value": -4.496398064640491, "params": null, "bitstrings": ["1110001", "1010101"], "total_optimization_steps": 27, "probabilities": [0.06635227037020759, 0.9303267404393483], "optimization_time": 31.72097897529602} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"]} | 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(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[3];
cry(-1.0343) q[1], q[4];
ry(0.7003) q[1];
cry(-0.1259) q[5], q[0];
ry(-0.4549) q[4];
cry(0.4962) q[5], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
3830386189988487291 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 1], [4, 7], [0, 3, 5, 6, 10], [0, 8], [8, 9, 2], [1, 2, 3, 6, 10], [9, 4], [0, 1, 5, 9], [1, 3, 6, 8, 10], [8, 5, 7], [3, 10, 2, 4], [1, 2, 4, 5, 8, 10], [2, 3, 6, 7, 8, 10], [1, 3, 6, 8, 9], [1, 7], [0, 10, 2], [2, 3, 5, 7, 9, 10]]} | {"states": [946, 954], "expectation_value": -4.588609851990865, "params": [-0.0089, -0.6393, 0.0193, 0.003, 1.5571000000000002, 0.003, 0.9908, -0.0112, 1.5746, 0.0036000000000000003, 1.5752000000000002, 0.009000000000000001, 1.5750000000000002, 0.0029000000000000002, 1.5416, 0.0023, 0.5672, -0.5077, 0.5696, 0.006500000... | 0.36666666666666664 * (Z(10) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(10)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(10)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.1666666666666... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.85], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.699999999999999, "smallest_bitstrings": ["10001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0089) q[0];
rz(-0.6393) q[0];
rx(1.5571) q[1];
rz(0.003) q[1];
rx(1.5746) q[2];
rz(0.0036) q[2];
rx(1.575) q[3];
rz(0.0029) q[3];
rx(0.5672) q[4];
rz(-0.5077) q[4];
rx(0.9148) q[5];
rz(0.0033) q[5];
rx(1.5492) q[6];
rz(0.0018) q[6];
rx(0.9924) 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": []} |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 14.55021357536316} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[2];
ry(0.7022) q[3];
ry(-0.4578) q[2];
cry(0.497) q[5], q[3];
cry(-0.3761) q[5], q[2];
cry(0.2474) q[0], q[3];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
7efca02d91f49e4bd32e9ceac2c5c6eb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [33, 37], "expectation_value": -1.5033989852206897, "params": [0.2232, 0.5258, 0.216, 0.006, 0.8684000000000001, 0.32080000000000003, 0.8649, 0.0055000000000000005, 0.6389, 0.5292, 0.5856, 0.0041, 0.24350000000000002, 0.5911000000000001, 0.2281, 0.004, 0.7941, -0.0026000000000000003, 0.7951, 0.0037, 0.207500... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 7 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101110", "0110101", "1011010", "0101101", "1010011", "1001110", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2232) q[0];
rz(0.5258) q[0];
rx(0.8684) q[1];
rz(0.3208) q[1];
rx(0.6389) q[2];
rz(0.5292) q[2];
rx(0.2435) q[3];
rz(0.5911) q[3];
rx(0.7941) q[4];
rz(-0.0026) q[4];
rx(0.2075) q[5];
rz(-0.3454) q[5];
rx(0.8337) q[6];
rz(0.0015) q[6];
crz(0.6144) q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
26def67ce5f93d788ddd1b023c589a8e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [82, 100], "expectation_value": -0.1305361451148287, "params": [[-0.059500000000000004], [0.0641]], "bitstrings": ["0101101", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008481630063970015, 0.008481630063970015], "optimization_time": 1.3466999530792236} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1100101", "1010011", "1111000", "0101101", "0111001", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0595) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.0595) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0595) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0595) q[1];
cx q[6], q[1];
cx q[6], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6]... | null | {"circuits": [], "gradients": []} |
2f41e77da60ca3e04be262f089a543cc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [178, 434], "expectation_value": -50.551392205682646, "params": [[[0.5730000000000001, -0.3029], [0.8794000000000001, 0.0189], [1.1975, 0.0012000000000000001], [0.0033, 0.6011000000000001], [1.1951, 0.0016], [1.2028, 0.003], [0.2903, -0.44620000000000004], [0.1511, -0.5272], [1.2086000000000001, -0.000900000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 2.0 * Z(0) + -2.0 * Z(1) + -1.0 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["1001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.573) q[0];
rz(-0.3029) q[0];
rx(0.8794) q[1];
rz(0.0189) q[1];
rx(1.1975) q[2];
rz(0.0012) q[2];
rx(0.0033) q[3];
rz(0.6011) q[3];
rx(1.1951) q[4];
rz(0.0016) q[4];
rx(1.2028) q[5];
rz(0.003) q[5];
rx(0.2903) q[6];
rz(-0.4462) q[6];
rx(0.1511) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 18.833052396774292} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[3], q[1];
cry(-0.1259) q[4], q[2];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-3921038216201407890 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 4, 5], [0, 1, 6], [0, 2, 6], [0, 3, 4, 5]]} | {"states": [116, 124], "expectation_value": -1.1204696875029436, "params": null, "bitstrings": ["0001011", "0000011"], "total_optimization_steps": 38, "probabilities": [0.09742555084053449, 0.8293692186092568], "optimization_time": 47.29644989967346} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0833333333333335, "smallest_bitstrings": ["1000000", "0000011", "0000101", "0111000"]} | 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[0];
cry(-0.4046) q[2], q[6];
ry(0.4088) q[4];
cry(-0.3475) q[1], q[6];
cry(0.3481) q[0], q[4];
cry(-0.3438) q[4], q[5];
ry(0.317) q[2];
cry(-0.3171) q[2], q[5];
cry(0.2823) q[0], q[2];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4977) 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", "... |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [942, 2990], "expectation_value": -2.9161642474744327, "params": [0.8612000000000001, -0.36660000000000004, 0.40590000000000004, -0.6076, 1.4194, -0.31930000000000003, 1.4989000000000001, 0.0026000000000000003, 1.4748, 0.0055000000000000005, 0.0951, 0.7716000000000001, 1.4949000000000001, 0.38580000000000003... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 16 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8612) q[0];
rz(-0.3666) q[0];
rx(0.4059) q[1];
rz(-0.6076) q[1];
rx(1.4194) q[2];
rz(-0.3193) q[2];
rx(1.4989) q[3];
rz(0.0026) q[3];
rx(1.4748) q[4];
rz(0.0055) q[4];
rx(0.0951) q[5];
rz(0.7716) q[5];
rx(1.4949) q[6];
rz(0.3858) q[6];
rx(0.4412) 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": []} |
ee3d1657115ac7fe63817a76eff6e74f | 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": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -20.34507536770521, "params": [[-0.034800000000000005, -0.0078000000000000005], [0.0695, 0.0548]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.006369534357321195, 0.007352382000497457], "optimization_time": 3.4656355381011963} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.3132) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3132) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.3132) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.3132) q[4];
cx q[3], 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": []} |
2e176b1388169c31718c374b42e0c725 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 63.401294469833374} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "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];
ry(1.5486) q[4];
cry(1.5626) q[2], q[3];
cry(1.2279) q[3], q[2];
ry(1.5158) q[5];
cry(-1.0348) q[6], q[0];
cry(0.9797) q[3], q[6];
cry(1.2085) q[2], q[1];
cry(-0.6038) q[3], q[0];
cry(0.4593) q[2], q[6];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 53], "expectation_value": -1.5381178548683092, "params": [[0.00030000000000000003, -0.11900000000000001, -1.3575000000000002, -0.0037, 0.0014, -0.0012000000000000001, -1.3525], [-1.3379, 0.0054, -1.2346000000000001, 0.001, -1.2953000000000001, 0.0047, -1.336], [1.3433000000000002, 0.0004, 1.3662, 0.0017... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 9 | 7 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0003) q[0];
rx(-0.119) q[1];
rx(-1.3575) q[2];
rx(-0.0037) q[3];
rx(0.0014) q[4];
rx(-0.0012) q[5];
rx(-1.352... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [112, 81], "expectation_value": -4.99990032398369, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 30, "probabilities": [1.7187467219391787e-05, 0.9999500713211168], "optimization_time": 23.960949659347534} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(-1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[0];
ry(1.4384) q[6];
cry(-0.1259) q[2], q[4];
cry(-0.1259) q[6], q[1];
cry(0.1246) q[2], q[6];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
0dd2d33693d24f15dd49a9f1491a3215 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [149, 181], "expectation_value": -54.08195822651673, "params": [[0.06910000000000001, 1.4991, 0.014700000000000001, 0.5782, 1.0566, 0.0758, 1.4982, -0.0028, 1.2628000000000001], [0.559, 1.4987000000000001, 0.8899, 1.5024000000000002, 1.5018, 1.2855, 1.4961, -0.0019, 1.4964000000000002]], "bitstrings": ["1011... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 11.5 * Z(1) + 2.0 * Z(0) + 5.0 * Z... | 10 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0691) q[0];
ry(1.4991) q[1];
ry(0.0147) q[2];
ry(0.5782) q[3];
ry(1.0566) q[4];
ry(0.0758) q[5];
ry(1.4982) q[6];
ry(-0.0028) q[7];
ry(1.2628) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
f3a1e6b2b1212adc99805f9c0a30f517 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [164, 166], "expectation_value": -3.923590358856948, "params": [[0.6347, -0.0184, 0.6371, 0.002, -0.0637, 0.7008, 0.46340000000000003, -0.001], [0.6335000000000001, -0.0112, 0.6355000000000001, 0.0017000000000000001, -0.0483, 0.3709, 0.10550000000000001, -0.0039000000000000003], [0.6342, 0.020800000000000003... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -1.0 * Z(3) + 0.0 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "00001111", "01110001", "00110011", "00100111", "00011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6347) q[0];
ry(-0.0184) q[1];
ry(0.6371) q[2];
ry(0.002) q[3];
ry(-0.0637) q[4];
ry(0.7008) q[5];
ry(0.4634) q[6];
ry(-0.001) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [1, 31], "expectation_value": -0.5609594387722322, "params": [[-0.056400000000000006, -0.0407], [0.0634, 0.0543]], "bitstrings": ["111110", "100000"], "total_optimization_steps": 10, "probabilities": [0.021141807039951284, 0.021451458650638466], "optimization_time": 1.9672832489013672} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "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];
cx q[3], q[0];
rz(0.0846) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.1128) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0282) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.1974) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.0846... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
cd165e438e2bf85b31cdf0e37104b9a7 | 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": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 768], "expectation_value": -8.63064030168927, "params": [0.0012000000000000001, 0.0017000000000000001, 0.1908, 0.1918, 0.2036, 0.19990000000000002, 0.0005, 0.0006000000000000001, 0.0781, 0.1274, 0.0002, 0.0012000000000000001, 0.0056, 0.001, 0.0058000000000000005, 0.0059, 0.0064, -0.0006000000000000001,... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + 1.25 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @... | 14 | 11 | 4 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000101000", "11010111111", "10010111111", "10000111000", "10000110000", "10011111111", "10000100000", "11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0012) q[0];
ry(0.1908) q[1];
ry(0.2036) q[2];
ry(0.0005) q[3];
ry(0.0781) q[4];
ry(0.0002) q[5];
ry(0.0056) q[6];
ry(0.0058) q[7];
ry(0.0064) q[8];
ry(0.0017) q[9];
ry(-0.0008) q[10];
crx(0.1246) q[10], q[0];
crx(-0.1607) q[9], q[10];
crx(0.1329) q[8], ... | 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": []} |
3c01ab65d1a16535fdf3b1017527aaee | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.038607485662447455, "params": [[-0.0296], [0.041]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002062972598133774, 0.0020632939984030776], "optimization_time": 2.0319390296936035} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(0.0148) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0296) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0592) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.0296) q[2];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7e10b313c0e966d78a431e218b1e1e89 | 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": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -11.917099851419378, "params": [[-0.0438], [0.0741]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0041005335933630895, 0.004925306220002665], "optimization_time": 2.0763933658599854} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3942) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3942) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3942) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3942) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30703, 30719], "expectation_value": -17.863307104544564, "params": [[[1.2152, 0.0123], [-0.2396, 0.0114], [-1.5838, 0.1767], [-0.10940000000000001, 2.9596], [1.5654000000000001, 0.0022], [1.5735000000000001, -0.0022], [-0.0027, -0.0021000000000000003], [1.5731000000000002, 0.1579], [-0.011300000000000001, 0... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 15 | 15 | 2 | {"smallest_eigenvalues": [-18.62499999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.374999999999375, "smallest_bitstrings": ["000100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(1.2152) q[0];
ry(-0.2396) q[1];
ry(-1.5838) q[2];
ry(-0.1094) q[3];
ry(1.5654) q[4];
ry(1.5735) q[5];
ry(-0.0027) q[6];
ry(1.5731) q[7];
ry(-0.0113) q[8];
ry(-0.0034) q[9];
ry(1.5534) q[10];
ry(-0.0733) q[11];
ry(-0.0045) q[12];
ry(-0.0019) q[13];
ry(0.67... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
117d5eadcb002c843d1e10097e462227 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [20, 23], "expectation_value": -2.3592798476523704, "params": [[[0.38820000000000005, 0.48090000000000005], [0.5032, 0.41450000000000004], [0.4999, 0.3639], [0.4964, 0.3266], [0.49610000000000004, 0.48050000000000004], [0.47250000000000003, 0.5071]], [[0.5045000000000001, 0.5009], [0.49910000000000004, 0.369... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.3882) q[0];
ry(0.5032) q[1];
ry(0.4999) q[2];
ry(0.4964) q[3];
ry(0.4961) q[4];
ry(0.4725) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.4809) q[0];
ry(0.4145) q[1];
ry(0.3639) q[2];
ry(0.3266) 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": []} |
a580428593ca2a54e0f078f27f8703fa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [125, 117], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10000010", "10001010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 46.86227869987488} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"]} | 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(-1.5709) q[6];
ry(1.5706) q[1];
cry(1.5708) q[1], q[5];
cry(1.5681) q[5], q[3];
cry(1.4449) q[3], q[2];
cry(1.4433) q[5], q[7];
cry(-1.4448) q[7], q[0];
ry(0.0903) q[7];
cry(-0.1223) q[5], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -11.042807904841728, "params": [0.0453, 0.3472, 0.0874, 0.36150000000000004, 0.0868, 0.3633, 0.1038, 0.36610000000000004, 0.6452, 0.2026, 0.5298, 0.1395, 0.648, 0.1363, 0.0374, 0.3482, 0.0898, 0.3607, 0.0911, 0.36100000000000004, 0.09480000000000001, 0.3652, 0.6452, 0.184, 0.5319... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0453) q[0];
rz(0.3472) q[0];
rx(0.0874) q[1];
rz(0.3615) q[1];
rx(0.0868) q[2];
rz(0.3633) q[2];
rx(0.1038) q[3];
rz(0.3661) q[3];
rx(0.6452) q[4];
rz(0.2026) q[4];
rx(0.5298) q[5];
rz(0.1395) q[5];
rx(0.648) q[6];
rz(0.1363) q[6];
crz(0.2467) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 101.87292075157166} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.5706) q[2], q[4];
cry(1.5681) q[2], q[1];
cry(1.5706) q[4], q[3];
cry(1.5706) q[7], q[6];
ry(0.6996) q[7];
ry(0.4046) q[6];
cry(0.4829) q[1], q[7];
cry(0.2183) q[1], q[6];
c... | 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[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[... |
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": 24.746073246002197} | -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 | 3 | {"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", ... |
-9152816934016542712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 5, 7, 8, 9], [2, 3, 4, 7, 8, 10], [2, 3, 4, 5, 8, 9, 10], [0, 2, 5, 6, 7, 8, 10], [8, 3, 6], [0, 2, 3, 5, 6, 7, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 9], [0, 1, 3, 5, 6, 10], [1, 3, 4, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7, 9, 10], [0, 4, 6, 7, 8, 9, 10], [... | {"states": [799, 927], "expectation_value": -2.798308375679563, "params": [0.3779, 0.004200000000000001, 2.6417, 0.005200000000000001, 3.1387, 0.0076, 1.6277000000000001, 0.0004, 0.44820000000000004, 0.009000000000000001, 0.4464, 0.0017000000000000001, 3.1396, 0.0017000000000000001, 3.1442, 0.0073, 3.1436, 0.0023, 3.13... | 0.1468253968253968 * (Z(0) @ Z(1)) + 0.14007936507936505 * (Z(4) @ Z(1)) + 0.11865079365079365 * (Z(4) @ Z(0)) + 0.10277777777777777 * (Z(5) @ Z(1)) + 0.0873015873015873 * (Z(5) @ Z(0)) + 0.16388888888888886 * (Z(5) @ Z(4)) + 0.12896825396825395 * (Z(6) @ Z(1)) + 0.1884920634920635 * (Z(6) @ Z(0)) + 0.12460317460317458... | 3 | 11 | 1 | {"smallest_eigenvalues": [-3.0261904761904757], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.004761904761904, "smallest_bitstrings": ["10001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3779) q[0];
rz(0.0042) q[0];
rx(2.6417) q[1];
rz(0.0052) q[1];
rx(3.1387) q[2];
rz(0.0076) q[2];
rx(1.6277) q[3];
rz(0.0004) q[3];
rx(0.4482) q[4];
rz(0.009) q[4];
rx(0.4464) q[5];
rz(0.0017) q[5];
rx(3.1396) q[6];
rz(0.0017) q[6];
rx(3.1442) 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": []} |
973f7c80d8f22b1f89dc24a0e2b3755b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1322, 1194], "expectation_value": -68.94739579696181, "params": [[-0.002, 0.5022, 0.0013000000000000002, 0.2919, 0.5062, 0.0023, 0.5048, 0.2325, 0.5042, 0.14850000000000002, 0.5037, 0.004200000000000001], [-0.0022, 0.5067, 0.0531, 0.3277, 0.4969, -0.0363, 0.5042, 0.28, 0.5007, 0.24980000000000002, 0.5043, -... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + -4.0 * Z(2) + 8.5 * Z(1) + 15.5 * Z(4) + 1.5 * Z(3) ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-152.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["101101010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.002) q[0];
ry(0.5022) q[1];
ry(0.0013) q[2];
ry(0.2919) q[3];
ry(0.5062) q[4];
ry(0.0023) q[5];
ry(0.5048) q[6];
ry(0.2325) q[7];
ry(0.5042) q[8];
ry(0.1485) q[9];
ry(0.5037) q[10];
ry(0.0042) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 17.566446542739868} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
cry(1.5706) q[1], q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
cry(-0.0027) q[1], q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) 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", "... |
1b146c0365a13411191347bfcee6d38e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [104, 40], "expectation_value": -2.46972904428449, "params": [[[0.5089, 0.0413, 0.0079, 0.008400000000000001], [0.5896, -0.0718, 0.4358, -0.038400000000000004], [0.1998, 0.0027, 0.2707, 0.0854], [0.2778, 0.1584, -0.28140000000000004, 0.08270000000000001], [-0.115, 0.0135, -0.10350000000000001, 0.0023], [0.00... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 11 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010111", "1110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.5089) q[0];
rz(0.0413) q[0];
ry(0.5896) q[1];
rz(-0.0718) q[1];
ry(0.1998) q[2];
rz(0.0027) q[2];
ry(0.2778) q[3];
rz(0.1584) q[3];
ry(-0.115) q[4];
rz(0.0135) q[4];
ry(0.003) q[5];
rz(-0.0271) q[5];
ry(0.0042) q[6];
rz(0.018) 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": []} |
cf6781246fc66f87fa6a567e8619e23b | 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": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.6402422688585667, "params": [[-0.060700000000000004, -0.0776], [0.0718, 0.0742]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013477780376193295, 0.013668504003574737], "optimization_time": 4.898226976394653} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "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];
cx q[1], q[0];
rz(0.0911) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0607) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0304) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(0.0607) q[4];
cx q[1], q[4];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
16527d193f875954393100e94a8bb60f | 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": [2755, 2754], "expectation_value": -108.95841703108084, "params": [0.9022, 0.0039000000000000003, 0.0045000000000000005, 0.5214, 0.896, 0.031, 0.4072, 0.3549, 0.8982, 0.021500000000000002, 0.8981, 0.015300000000000001, 0.2713, 0.5046, 0.003, -0.5365, -0.0023, 0.5969, -0.0032, -0.44680000000000003, 0.8977, -0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(7) @ Z(10)) + -3.0 * Z(1) + 15.0 * Z(0) + 16.0 * Z(2) + 4.5 * Z(3... | 16 | 12 | 3 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["010100111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.9022) q[0];
rz(0.0039) q[0];
rx(0.0045) q[1];
rz(0.5214) q[1];
rx(0.896) q[2];
rz(0.031) q[2];
rx(0.4072) q[3];
rz(0.3549) q[3];
rx(0.8982) q[4];
rz(0.0215) q[4];
rx(0.8981) q[5];
rz(0.0153) q[5];
rx(0.2713) q[6];
rz(0.5046) q[6];
rx(0.003) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
a6ea63ce7afda0458cb5e7d5c63027a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [127, 63], "expectation_value": -1.4046417564585765, "params": [[0.07830000000000001, 0.07540000000000001], [-0.082, -0.0726]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01565827446149226, 0.0174841924832045], "optimization_time": 3.3740110397338867} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "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];
cx q[2], q[0];
rz(-0.0392) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0392) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.0783) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(-0.1175) q[5];
cx q[2], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2353079fa286d356ce3844ef645b5899 | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [0, 1], "expectation_value": -6.269991591360465, "params": [0.0064, -0.1436, 0.0004, 0.28650000000000003, -0.0031000000000000003, 0.2898, 0.0014, 0.31420000000000003, 0.0007, 0.3143, 0.0012000000000000001, 0.3098, 0.0016, 0.2889, 0.4055, 0.0008, 0.0001, -0.2263, 0.0064, 0.3221, -0.0015, 0.2978, 0.0033, 0.313... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0064) q[0];
rz(-0.1436) q[0];
rx(0.0004) q[1];
rz(0.2865) q[1];
rx(-0.0031) q[2];
rz(0.2898) q[2];
rx(0.0014) q[3];
rz(0.3142) q[3];
rx(0.0007) q[4];
rz(0.3143) q[4];
rx(0.0012) q[5];
rz(0.3098) q[5];
rx(0.0016) q[6];
rz(0.2889) q[6];
rx(0.4055) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3a96def0087bb3e839e31265faaf073e | 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": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -7.522934811939143, "params": [[[-0.0041, 0.0009000000000000001], [0.0001, 0.5436], [-0.0023, -0.0029000000000000002], [-0.003, -0.0026000000000000003], [-0.0031000000000000003, -0.0029000000000000002], [-0.0028, -0.0026000000000000003], [-0.0026000000000000003, -0.0025], [... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0041) q[0];
ry(0.0001) q[1];
ry(-0.0023) q[2];
ry(-0.003) q[3];
ry(-0.0031) q[4];
ry(-0.0028) q[5];
ry(-0.0026) q[6];
ry(-0.003) q[7];
ry(0.0031) q[8];
ry(-0.2533) q[9];
ry(1.6522) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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": 10} | {"circuits": [], "gradients": []} |
6c28370939b7d49c2e67d552301e0191 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43605, 21930], "expectation_value": -0.013700105437593885, "params": [[-0.0512], [0.06770000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6125311330728988e-05, 1.612531133072899e-05], "optimization_time": 14.496734857559204} | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022993827160445], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271604406, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0256) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [108, 76], "expectation_value": -7.859599500187031, "params": [-0.0028, 0.006200000000000001, -0.0023, 0.003, -0.0028, 0.0027, -0.0025, 0.0081, -0.0025, 0.0039000000000000003, 2.6656, 0.0034000000000000002, 1.5065000000000002, 0.0037, -0.0034000000000000002, 0.0014, 2.1402, 0.0047, 2.7039, 0.0052000000000000... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0028) q[0];
rz(0.0062) q[0];
rx(-0.0023) q[1];
rz(0.003) q[1];
rx(-0.0028) q[2];
rz(0.0027) q[2];
rx(-0.0025) q[3];
rz(0.0081) q[3];
rx(-0.0025) q[4];
rz(0.0039) q[4];
rx(2.6656) q[5];
rz(0.0034) q[5];
rx(1.5065) q[6];
rz(0.0037) q[6];
rx(-0.0034) 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": 4} | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 15.247506618499756} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[2];
ry(0.7022) q[3];
ry(-0.4578) q[2];
cry(0.497) q[5], q[3];
cry(-0.3761) q[5], q[2];
cry(0.2474) q[0], q[3];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 174.47717952728271} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(18.1327) q[1];
ry(5.7993) q[6];
ry(12.9792) q[3];
ry(-12.9356) q[4];
ry(62.3287) q[0];
cry(62.8089) q[7], q[3];
cry(62.4059) q[2], q[3];
ry(10.4457) q[2];
cry(12.7337) q[5], q[3];
cry(24.2262) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(18.1327) 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... |
9ac96037cdc1ad997cf71b68bb905d0e | 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": [1844, 1332], "expectation_value": -126.42846704994972, "params": [0.0025, 0.9284, 1.4005, -0.1693, 0.7714000000000001, -0.3667, 1.3909, -0.2369, 0.4363, -0.443, 0.326, 0.6263000000000001, 1.4051, 0.0014, 1.3975, 0.267, 0.26880000000000004, 0.6677000000000001, 1.3983, -0.0008, 0.0032, -0.8714000000000001, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 12.0 * Z(2) + 15.0 * Z(1) + 23.0 ... | 18 | 12 | 2 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.0, "smallest_bitstrings": ["101011001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0025) q[0];
rz(0.9284) q[0];
rx(1.4005) q[1];
rz(-0.1693) q[1];
rx(0.7714) q[2];
rz(-0.3667) q[2];
rx(1.3909) q[3];
rz(-0.2369) q[3];
rx(0.4363) q[4];
rz(-0.443) q[4];
rx(0.326) q[5];
rz(0.6263) q[5];
rx(1.4051) q[6];
rz(0.0014) q[6];
rx(1.3975) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
ace86aad427da3b1897bdadcaea2af97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 362], "expectation_value": -82.45605034538085, "params": [0.0582, 0.034300000000000004, 0.49910000000000004, 0.4989, 0.21330000000000002, 0.2151, 0.4913, 0.4923, 0.4828, 0.47990000000000005, 0.265, 0.2642, 0.4914, 0.4978, 0.12440000000000001, 0.1525, 0.5013000000000001, 0.4943, 0.0165, 0.0234, 0.015300... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(1) + -2.5 * Z(0) + 7.5 * Z(2) + 16.0 * Z(3) + 16.5 * Z(4) + 10.0 * Z(... | 14 | 10 | 3 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0582) q[0];
ry(0.4991) q[1];
ry(0.2133) q[2];
ry(0.4913) q[3];
ry(0.4828) q[4];
ry(0.265) q[5];
ry(0.4914) q[6];
ry(0.1244) q[7];
ry(0.5013) q[8];
ry(0.0165) q[9];
crx(0.1078) q[9], q[0];
crx(-0.1471) q[8], q[9];
crx(0.28) q[7], q[8];
crx(-0.3068) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [126, 1], "expectation_value": -3.188562102382931, "params": [[0.0775, 0.0795], [-0.08320000000000001, -0.0843]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02486927622584619, 0.03238045811265498], "optimization_time": 5.4203455448150635} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "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];
cx q[2], q[0];
rz(-0.0387) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0775) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0775) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.1162) q[4];
cx q[2], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
dd78e2c63061a9237ba15cf769625f06 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [99, 107], "expectation_value": -3.3233471076961663, "params": [0.062, 0.1258, 0.39890000000000003, -0.0001, 0.40800000000000003, -0.002, 0.2621, 0.0017000000000000001, 0.4091, 0.0011, 0.09240000000000001, -0.1308, 0.40290000000000004, -0.0006000000000000001, 0.3996, 0.0022, 0.060000000000000005, 0.0942, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.062) q[0];
rz(0.1258) q[0];
rx(0.3989) q[1];
rz(-0.0001) q[1];
rx(0.408) q[2];
rz(-0.002) q[2];
rx(0.2621) q[3];
rz(0.0017) q[3];
rx(0.4091) q[4];
rz(0.0011) q[4];
rx(0.0924) q[5];
rz(-0.1308) q[5];
rx(0.4029) q[6];
rz(-0.0006) q[6];
rx(0.3996) 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": []} |
8115122104674717384 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 5, 6, 7, 8], [0, 8, 4], [0, 3, 4, 7, 10], [10, 2], [4, 5, 6, 7], [2, 4, 6, 7], [1, 3, 7, 9, 11], [3, 4, 5, 6, 10], [0, 1, 6, 7, 8], [8, 9, 3, 4], [0, 2, 6, 9, 11], [1, 5, 6, 7, 11], [8, 9, 4, 1], [0, 3, 7, 8, 9], [0, 11, 5], [1, 10, 5], [2, 3, 5, 7, 8... | {"states": [3316, 3317], "expectation_value": -4.720327625670175, "params": [[[3.1252, 0.0031000000000000003], [3.14, 0.0059], [0.5259, 0.0036000000000000003], [0.8984000000000001, 0.0007], [2.3162000000000003, 0.0077], [3.1455, 0.0051], [3.1387, 0.0016], [3.1384000000000003, 0.007], [0.9899, 0.0077], [3.14010000000000... | 0.31666666666666665 * (Z(5) @ Z(7)) + 0.31666666666666665 * (Z(8) @ Z(7)) + 0.15000000000000002 * (Z(8) @ Z(5)) + 0.23333333333333334 * (Z(9) @ Z(7)) + 0.3 * (Z(9) @ Z(5)) + 0.36666666666666664 * (Z(9) @ Z(8)) + 0.1 * (Z(10) @ Z(7)) + 0.2833333333333333 * (Z(10) @ Z(5)) + 0.31666666666666665 * (Z(10) @ Z(8)) + 0.3 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.616666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000001, "smallest_bitstrings": ["001100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1252) q[0];
rz(0.0031) q[0];
rx(3.14) q[1];
rz(0.0059) q[1];
rx(0.5259) q[2];
rz(0.0036) q[2];
rx(0.8984) q[3];
rz(0.0007) q[3];
rx(2.3162) q[4];
rz(0.0077) q[4];
rx(3.1455) q[5];
rz(0.0051) q[5];
rx(3.1387) q[6];
rz(0.0016) q[6];
rx(3.1384) 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": []} |
a2b703670d19247f6071de624d813f7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 26, "probabilities": [0.06700896400077552, 0.9297460623247052], "optimization_time": 24.044795751571655} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[3];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
ry(-0.4578) q[1];
cry(0.497) q[3], q[0];
cry(-0.3761) q[3], 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", ... |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [57, 61], "expectation_value": -7.99999260634772, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 50, "probabilities": [1.8042475181095282e-06, 0.9999981319545665], "optimization_time": 70.44066786766052} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"]} | 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(1.5706) q[3];
cry(1.5708) q[3], q[4];
cry(1.5681) q[3], q[5];
cry(1.5708) q[3], q[2];
cry(1.5486) q[3], q[7];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
cry(-1.4417) q[2], q[6];
cry(-0.1258) q[5], q[1... | 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(1.5706) 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[... |
1868412768826075099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5, 6], [4, 5], [1, 2, 3, 6], [0, 1, 2, 3, 4], [1, 2, 5, 6], [0, 1, 6], [0, 2, 3, 5, 6]]} | {"states": [93, 122], "expectation_value": -0.9969926357467778, "params": [[-0.37210000000000004], [0.3669]], "bitstrings": ["0100010", "0000101"], "total_optimization_steps": 40, "probabilities": [0.021332927947033904, 0.021958714280838513], "optimization_time": 5.7704784870147705} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9833333333333338], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666673, "smallest_bitstrings": ["0000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(-0.1612) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(-0.0992) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-0.124) q[5];
cx q[1], q[5];
cx q[3], q[6];
rz(-0.1612) q[6];
cx q[3], q[6];
cx q[1], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [399, 222], "expectation_value": -0.14877713683602772, "params": [[-0.0354, -0.039, -0.0408, -0.01], [0.0368, 0.0397, 0.0473, 0.024900000000000002]], "bitstrings": ["001110000", "100100001"], "total_optimization_steps": 10, "probabilities": [0.0027160377668626204, 0.002716037766862623], "optimization_time": ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"]} | 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(-0.0177) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0177) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0177) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0177) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fa57440be4387bc368ef7d7bc05627cf | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [245, 181], "expectation_value": -4.4450796986855465, "params": [[[0.1067, -0.2479], [0.5584, 0.004], [0.5047, -0.0506], [0.611, -0.0004], [0.6016, -0.0018000000000000002], [-0.0073, -0.32270000000000004], [0.606, 0.0005], [-0.004, -0.3279], [0.6, -0.0006000000000000001]], [[0.1097, -0.24780000000000002], [0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["101001010", "110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1067) q[0];
rz(-0.2479) q[0];
rx(0.5584) q[1];
rz(0.004) q[1];
rx(0.5047) q[2];
rz(-0.0506) q[2];
rx(0.611) q[3];
rz(-0.0004) q[3];
rx(0.6016) q[4];
rz(-0.0018) q[4];
rx(-0.0073) q[5];
rz(-0.3227) q[5];
rx(0.606) q[6];
rz(0.0005) q[6];
rx(-0.004) 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": []} |
3947074215083517616 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 4, 6], [1, 3, 4, 8, 10, 11], [10, 4, 6], [3, 4, 7, 8, 9], [3, 6, 8, 9, 10, 11], [8, 2, 11], [0, 4, 5, 8, 9], [0, 2, 3, 8, 9], [8, 1, 5, 7]]} | {"states": [2021, 2037], "expectation_value": -2.1279656524731205, "params": [0.045200000000000004, 0.047400000000000005, 1.4863000000000002, 1.6505, 1.5718, 1.5762, 1.5639, 1.5718, 1.5709000000000002, 1.5643, 1.5845, 1.5511000000000001, 1.5878, 1.5477, 0.8739, 0.8522000000000001, 0.036000000000000004, 0.0373, 1.5878, ... | 0.18333333333333335 * (Z(0) @ Z(9)) + 0.18333333333333335 * (Z(4) @ Z(9)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.13333333333333336 * (Z(3) @ Z(9)) + 0.05 * (Z(3) @ Z(0)) + 0.083333... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["100000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0452) q[0];
ry(1.4863) q[1];
ry(1.5718) q[2];
ry(1.5639) q[3];
ry(1.5709) q[4];
ry(1.5845) q[5];
ry(1.5878) q[6];
ry(0.8739) q[7];
ry(0.036) q[8];
ry(1.5878) q[9];
ry(0.0378) q[10];
ry(2.0082) q[11];
crz(0.0168) q[11], q[0];
crz(1.0306) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.5127472810381031, "params": [[-0.0318, -0.054, -0.0531, -0.0476], [0.0198, 0.0534, 0.057800000000000004, 0.058800000000000005]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.02332217818744911, 0.025709845152610575], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"]} | 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(-0.0318) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0318) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(-0.0318) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(-0.0318) q[5];
cx q[1], q[5];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -1.6048605616182148, "params": [[[0.1903, 0.2096], [0.36000000000000004, 0.0599], [0.29710000000000003, 0.1231], [0.5176000000000001, 0.0005], [0.4484, -0.010100000000000001], [0.4829, -0.012400000000000001]], [[0.1908, 0.20950000000000002], [0.36250000000000004, 0.0628000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1903) q[0];
rz(0.2096) q[0];
rx(0.36) q[1];
rz(0.0599) q[1];
rx(0.2971) q[2];
rz(0.1231) q[2];
rx(0.5176) q[3];
rz(0.0005) q[3];
rx(0.4484) q[4];
rz(-0.0101) q[4];
rx(0.4829) q[5];
rz(-0.0124) q[5];
rx(0.1908) q[0];
rz(0.2095) q[0];
rx(0.3625) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.6113024220090704, "params": [[-0.06330000000000001, -0.034800000000000005, -0.0095], [0.0794, 0.0579, 0.0395]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.021555736823286188, 0.022283053565053217], "optimization_time": 2.473318815... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0317) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.0317) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1266) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0317) q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(0.1266... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
d6040133fcf18b573199c2502f540ecc | 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": [1318, 1317], "expectation_value": -81.56039304748917, "params": [[[0.5168, 0.0874], [0.14020000000000002, 0.15810000000000002], [0.6053000000000001, 0.369], [0.054400000000000004, 0.377], [-0.0664, 0.3277], [0.6019, 0.5001], [0.0317, 0.5958], [-0.022600000000000002, 0.025900000000000003], [0.2326, 0.5275000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 22.5 * Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5168) q[0];
ry(0.1402) q[1];
ry(0.6053) q[2];
ry(0.0544) q[3];
ry(-0.0664) q[4];
ry(0.6019) q[5];
ry(0.0317) q[6];
ry(-0.0226) q[7];
ry(0.2326) q[8];
ry(0.5921) q[9];
ry(0.386) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 8.629231691360474} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
ry(1.0342) q[3];
cry(-0.9353) q[2], q[4];
ry(0.712) q[2];
cry(-0.5281) q[3], q[4];
cry(0.5097) q[3], q[2];
cry(0.3892) q[2], q[3];
ry(-0.3871) q[4];
cry(-0.1175) q[3], q[1];
cry(0.0866... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.24065613746643} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[2];
cry(1.5486) q[3], q[1];
cry(1.5486) q[1], q[4];
cry(-1.5486) q[4], q[0];
ry(0.1215) q[4];
cry(-0.2402) q[4], q[1];
cry(-0.2759) q[2], q[3];
ry(-0.2324) q[1];
cry(-0.3923) q[4], q[3];
cry(-0.4861) q[2], q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.13308125969473922, "params": [[0.0758], [-0.06720000000000001]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.033513403339040716, 0.03476149899927976], "optimization_time": 1.2347843647003174} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0758) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0758) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0758) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0758) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0758) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];... | null | {"circuits": [], "gradients": []} |
5151777812028997366 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 5, 7], [0, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 3, 6], [1, 2], [1, 6, 7, 8, 9], [0, 1, 3, 7, 8], [1, 3, 5], [1, 4, 9], [1, 5, 6]]} | {"states": [876, 366], "expectation_value": -1.89507802221826, "params": [1.2670000000000001, -0.1658, 0.9745, 0.00030000000000000003, 1.3995, -0.1023, 1.3903, 0.0077, 0.3239, 0.5409, 0.32320000000000004, 0.0001, 1.2974, 0.2326, 1.2283000000000002, 0.0032, 1.3651, 0.32080000000000003, 1.3297, 0.0099, 0.9452, 0.4595, 0.... | 0.25 * (Z(1) @ Z(4)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(5)) + 0.013888888888888888 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.013888888888888888 * (Z(0) @... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.511111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.51111111111111, "smallest_bitstrings": ["1010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.267) q[0];
rz(-0.1658) q[0];
rx(1.3995) q[1];
rz(-0.1023) q[1];
rx(0.3239) q[2];
rz(0.5409) q[2];
rx(1.2974) q[3];
rz(0.2326) q[3];
rx(1.3651) q[4];
rz(0.3208) q[4];
rx(0.9452) q[5];
rz(0.4595) q[5];
rx(1.3048) q[6];
rz(0.233) q[6];
rx(1.3822) 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": []} |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 29], "expectation_value": -3.1470474657494663, "params": [[-0.1882], [0.1826]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.051644095587298725, 0.05388829383483147], "optimization_time": 1.9193148612976074} | -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];
cx q[4], q[0];
rz(0.5646) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.7528) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.5646) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.2823) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(0.0941... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-4319918290322137079 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 5], [3, 5], [1, 3], [1, 2], [0, 3], [3, 4]]} | {"states": [43, 19], "expectation_value": -2.20536957031299, "params": null, "bitstrings": ["010100", "101100"], "total_optimization_steps": 38, "probabilities": [0.03361086547102415, 0.8105326913272964], "optimization_time": 32.00847578048706} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[1], q[2];
ry(1.0293) q[1];
ry(-0.6992) q[2];
cry(-0.6534) q[4], q[3];
ry(0.9979) q[5];
cry(-1.4337) q[1], q[0];
cry(1.1473) q[5], q[4];
cry(0.3342) q[4], q[1];
ry(-0.4134) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], 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 ... |
0a3673ffdac65321bbf7b0925b451cf8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 7, "source": 1, "target": 8}, {"capac... | {"states": [271, 267], "expectation_value": -5.51835893843394, "params": [[-0.15960000000000002], [0.1695]], "bitstrings": ["1011110000", "1011110100"], "total_optimization_steps": 20, "probabilities": [0.0061099017944553635, 0.006768860796690019], "optimization_time": 3.001713991165161} | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(8) @ Z(2)) + -1.75 * (Z(1) @ Z(8)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + 2.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1011110100"]} | 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[0];
rz(0.5586) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.399) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1596) q[3];
cx q[0], q[3];
cx q[2], q[8];
rz(0.0798) q[8];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
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