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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6d1a9a1cda08ec4eaf9d390307f681d3 | 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": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.4466388848126095, "params": [[-0.07690000000000001], [0.0699]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0026644748138297397, 0.002721367128072834], "optimization_time": 2.824674129486084} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"]} | 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[6], q[0];
rz(0.0769) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.1923) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.0385) q[7];
cx q[0], q[7];
cx q[3], q[1];
rz(0.0385) q[1];
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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 106], "expectation_value": -1.8506031513144015, "params": [[[0.4005, 0.027600000000000003], [0.4047, 0.024], [0.39690000000000003, 0.017], [0.0405, 0.0292], [0.4021, 0.31970000000000004], [0.254, 0.38020000000000004], [0.1429, 0.25880000000000003], [0.14170000000000002, 0.25680000000000003]], [[0.0286, ... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4005) q[0];
ry(0.4047) q[1];
ry(0.3969) q[2];
ry(0.0405) q[3];
ry(0.4021) q[4];
ry(0.254) q[5];
ry(0.1429) q[6];
ry(0.1417) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cb3f4c0868bc7755a58fdaccb740c7a2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [0, 127], "expectation_value": -6.520987938241512, "params": [[-0.0685], [0.0772]], "bitstrings": ["111111111111", "111110000000"], "total_optimization_steps": 10, "probabilities": [0.0008684865392671489, 0.0009098356432159637], "optimization_time": 3.84382700920105} | -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.5 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-55.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["111110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(0.3425) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.411) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.3425) q[3];
cx q[0], q[3];
cx q[2], q[4];
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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 5} | {"circuits": [], "gradients": []} |
2645505044049809267 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [2, 3], [0, 3], [2, 5]]} | {"states": [56, 42], "expectation_value": -1.7303110248786107, "params": null, "bitstrings": ["000111", "010101"], "total_optimization_steps": 38, "probabilities": [0.051067933398191954, 0.734140149166207], "optimization_time": 24.706740856170654} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "101010", "000111", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[4], q[1];
cry(-1.0342) q[2], q[5];
ry(0.7625) q[2];
cry(-0.7068) q[0], q[3];
cry(1.1319) q[2], q[0];
ry(0.7003) q[4];
cry(-0.5466) q[0], q[5];
cry(0.4138) q[0], q[2];
ry(-0... | 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[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
984069cd50d39f7e5d4b40fb03f5527d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -16.451321873004215, "params": [[0.038400000000000004, -0.0164, -0.0335, -0.047400000000000005], [-0.0577, -0.0199, 0.0206, 0.0555]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011116738719861042, 0.013966050821277706], "optimi... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3072) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3072) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3072) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3072) q[3];
cx q[2], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
74f1544741d8dc33405b84be7c29f907 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [63, 127], "expectation_value": -12.687286242801182, "params": null, "bitstrings": ["11000000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.14481866689969203, 0.3095008546083234], "optimization_time": 234.35307216644287} | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[2], q[3];
cry(1.5668) q[3], q[1];
cry(0.537) q[1], q[7];
cry(0.4061) q[1], q[2];
cry(0.3137) q[3], q[7];
ry(-0.3103) q[2];
cry(0.4659) q[3], q[2];
cry(1.5705) q[1], q[5];
cry(-1.0912... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
e2e158f2cf7d16562fe0667a95b89216 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [459, 234], "expectation_value": -29.983018359963804, "params": [[0.0267, -0.0091, -0.0013000000000000002, -0.006500000000000001], [-0.0843, -0.052700000000000004, -0.0502, -0.0374]], "bitstrings": ["000110100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005975885522343035, 0.008097722... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.5], "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(0.2403) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2403) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2403) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2403) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-3907779894903928141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2, 5, 7], [0, 1, 2, 7], [1, 4, 5, 7], [0, 4, 7], [0, 1, 5, 7], [1, 2, 5, 6], [0, 3], [3, 5, 6], [2, 3, 4], [1, 3, 5], [1, 2, 3]]} | {"states": [61, 238], "expectation_value": -1.4123213922425397, "params": [[0.2629], [-0.2661]], "bitstrings": ["11000010", "00010001"], "total_optimization_steps": 30, "probabilities": [0.010344095701451663, 0.010369551822331607], "optimization_time": 1.6203296184539795} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00010001"]} | 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[6], q[3];
rz(0.1753) q[3];
cx q[6], q[3];
cx q[6], q[7];
rz(0.0876) q[7];
cx q[6], q[7];
cx q[3], q[7];
rz(0.0876) q[7];
cx q[3], q[7];
cx q[6], q[1];
rz(0.0438) q[1];
cx q[6], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
d78f7556e7639886d17f02ad3944a31a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -17.02129181666809, "params": [-0.35150000000000003, 0.197, -0.36050000000000004, 0.4199, -0.3093, 0.2928, -0.33940000000000003, 0.32630000000000003, -0.3435, 0.20220000000000002, -0.36100000000000004, 0.5491, -0.0339, 0.5032, -0.07100000000000001, 0.4758, -0.0002, 0.6071000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.3515) q[0];
rz(0.197) q[0];
rx(-0.3093) q[1];
rz(0.2928) q[1];
rx(-0.3435) q[2];
rz(0.2022) q[2];
rx(-0.0339) q[3];
rz(0.5032) q[3];
rx(-0.0002) q[4];
rz(0.6071) q[4];
rx(-0.0128) q[5];
rz(0.542) q[5];
rx(0.0072) q[6];
rz(0.5316) q[6];
rx(-0.3645) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
b479847f05cc20709fc3e89f53936753 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2016], "expectation_value": -1.2505290770481572, "params": [[0.047400000000000005], [-0.0551]], "bitstrings": ["00000000000", "00000011111"], "total_optimization_steps": 10, "probabilities": [0.0007297347642730365, 0.0007314932550668116], "optimization_time": 34.27575945854187} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1422) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1896) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1896) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0474)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 6} | {"circuits": [], "gradients": []} |
ac1f174c7c8aefd4d3fe63daa83b99d5 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [455, 511], "expectation_value": -0.7444815737447742, "params": [[0.07100000000000001], [-0.0772]], "bitstrings": ["000111000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0028307463111643854, 0.0028702103596716165], "optimization_time": 1.9769659042358398} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000"]} | 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(-0.213) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.071) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.213) q[2];
cx q[0], q[2];
cx q[3], q[5];
rz(-0.284) q[5];
cx q[3], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 3} | {"circuits": [], "gradients": []} |
0714803fc241e2360d666ed1e871e287 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [382, 383], "expectation_value": -10.618358573331117, "params": [-0.0018000000000000002, 0.9812000000000001, 0.003, 0.6577000000000001, -0.6261, 0.23970000000000002, -0.34800000000000003, 0.7689, 0.0039000000000000003, 0.5352, -0.0015, 0.8696, -0.5455, 0.9385, 0.22210000000000002, 0.7823, -0.6809000000000001... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0018) q[0];
rz(0.9812) q[0];
rx(-0.6261) q[1];
rz(0.2397) q[1];
rx(0.0039) q[2];
rz(0.5352) q[2];
rx(-0.5455) q[3];
rz(0.9385) q[3];
rx(-0.6809) q[4];
rz(0.8912) q[4];
rx(-0.6343) q[5];
rz(0.9514) q[5];
rx(-0.7023) q[6];
rz(0.9708) q[6];
rx(-0.6862) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 1} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [427, 363], "expectation_value": -3.4340019121982053, "params": [1.0266, 0.2015, 0.8743000000000001, 0.48900000000000005, 0.9931000000000001, 0.4303, 1.0186, 0.27790000000000004, 0.5436, 0.45640000000000003, 0.9717, 0.31270000000000003, 0.5173, 0.4335, 1.0769, 0.1187, 1.0637, -0.0398, 0.9919, 0.1002000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0266) q[0];
rz(0.2015) q[0];
rx(0.8743) q[1];
rz(0.489) q[1];
rx(0.9931) q[2];
rz(0.4303) q[2];
rx(1.0186) q[3];
rz(0.2779) q[3];
rx(0.5436) q[4];
rz(0.4564) q[4];
rx(0.9717) q[5];
rz(0.3127) q[5];
rx(0.5173) q[6];
rz(0.4335) q[6];
rx(1.0769) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [115, 119], "expectation_value": -5.975016950787599, "params": [-0.0027, -1.1840000000000002, -0.0026000000000000003, 0.0002, 0.0037, 0.8675, -0.0048000000000000004, 0.0059, 1.8204, 0.1105, 1.3314000000000001, 0.0064, 1.7632, 0.1028, 1.3831, 0.0049, 1.8774000000000002, 0.1364, 1.2788000000000002, 0.0047, -0.... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0027) q[0];
rz(-1.184) q[0];
rx(0.0037) q[1];
rz(0.8675) q[1];
rx(1.8204) q[2];
rz(0.1105) q[2];
rx(1.7632) q[3];
rz(0.1028) q[3];
rx(1.8774) q[4];
rz(0.1364) q[4];
rx(-0.0034) q[5];
rz(-0.4859) q[5];
rx(-0.8018) q[6];
rz(-1.4135) q[6];
rx(1.8805) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 55.549707651138306} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[2];
cry(1.5157) q[4], q[1];
ry(1.5485) q[3];
cry(0.8284) q[2], q[4];
cry(0.3998) q[2], q[1];
cry(1.3013) q[2], q[6];
cry(-1.4753) q[6], q[0];
cry(1.2112) q[4], q[5];
ry(-0.5598) q[5];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
1290437111204269575 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [4, 6], [0, 2, 6, 7], [0, 2, 3, 5], [3, 6], [1, 7]]} | {"states": [167, 135], "expectation_value": -2.1442909768469836, "params": null, "bitstrings": ["01011000", "01111000"], "total_optimization_steps": 63, "probabilities": [0.06362305157780425, 0.7615770983177876], "optimization_time": 84.25413918495178} | 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "smallest_bitstrings": ["01111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[4];
ry(0.9138) q[7];
cry(-1.367) q[7], q[1];
cry(-0.7843) q[6], q[4];
cry(1.2135) q[7], q[6];
cry(-1.2119) q[6], q[3];
ry(-0.3205) q[4];
cry(0.3511) q[6], q[7];
ry(0.2483) q[6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... |
73d533dc900ade1f39f82d1daf03a1c8 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -4.158043457423276, "params": [[0.26080000000000003], [-0.26230000000000003]], "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 30, "probabilities": [0.04656678998064981, 0.05660235681656203], "optimization_time": 3.4240193367004395} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"]} | 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(-0.3912) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2608) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3912) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.2608) q[2];
cx q[1], q[2];
cx q[4], 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;
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [27, 31], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100100", "1100000"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 33.34833765029907} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"]} | 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[5];
cry(1.5681) q[6], q[3];
ry(1.0378) q[6];
cry(-1.5705) q[6], q[0];
cry(-1.5707) q[5], q[1];
ry(0.4432) q[3];
cry(0.2657) q[5], q[6];
cry(1.4449) q[5], q[2];
cry(0.1283) q[5], q[3];
cry(0.0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
9ebf73db5d267bdba1dcbb1966f3363d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [511, 2047], "expectation_value": -2.157162783003879, "params": [[-0.07880000000000001], [0.0785]], "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0011132709828439765, 0.0011132709828439765], "optimization_time": 1.3534200191497803} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.2364) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.3152) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.3152) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.3152) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 1} | {"circuits": [], "gradients": []} |
d56985f232688510835b204f6df74ea2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 15], "expectation_value": -2.538673048878541, "params": [[[0.0026000000000000003, 1.6095000000000002], [0.0017000000000000001, 0.0026000000000000003], [0.0025, 0.0019], [0.0023, 0.9065000000000001]]], "bitstrings": ["1111", "0000"], "total_optimization_steps": 160, "probabilities": [0.38847723770589626, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 15 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
ry(0.0026) q[0];
ry(0.0017) q[1];
ry(0.0025) q[2];
ry(0.0023) q[3];
cx q[3], q[0];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.6095) q[0];
ry(0.0026) q[1];
ry(0.0019) q[2];
ry(0.9065) q[3];
cx q[3], q[2];
cx q[0], q[3];
cx q[0], q[1];
cx q[1], q[2];
c[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;
bit[4] c;
qubit[4] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
cx q[3], q[0];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(x4) q... | {"node": 4} | {"circuits": [], "gradients": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -30.421454434200015, "params": [[0.0228, -0.0056, 0.0031000000000000003], [-0.0646, -0.051800000000000006, -0.06330000000000001]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.005748870285042611, 0.00669952230921442], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2052) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2052) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2052) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2052) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -17.25243727184477, "params": [[0.0364, -0.0465, -0.0385], [-0.0597, 0.031900000000000005, 0.0609]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012289167935660084, 0.013466446548848762], "optimization_time": 7.343943357467651} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.2912) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2912) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2912) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.2912) q[4];
cx q[1], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -17.032878705349706, "params": [[-0.031900000000000005, -0.0193], [0.065, 0.0711]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011841595751936846, 0.01467205242374695], "optimization_time": 3.1620731353759766} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2552) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2552) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2552) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2552) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
3ac54a966ac53ee2e7adea8d673692bd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2047, 63], "expectation_value": -38.02090719066645, "params": [[[0.0024000000000000002, 0.0016], [0.0026000000000000003, 0.006900000000000001], [0.0024000000000000002, 0.0001], [0.0026000000000000003, 0.0034000000000000002], [-1.6144, 0.00030000000000000003], [0.0025, 0.0002], [0.0026000000000000003, 0.0019... | 1.5 * (Z(3) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + -... | 2 | 11 | 1 | {"smallest_eigenvalues": [-38.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.5, "smallest_bitstrings": ["11111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0024) q[0];
rz(0.0016) q[0];
rx(0.0026) q[1];
rz(0.0069) q[1];
rx(0.0024) q[2];
rz(0.0001) q[2];
rx(0.0026) q[3];
rz(0.0034) q[3];
rx(-1.6144) q[4];
rz(0.0003) q[4];
rx(0.0025) q[5];
rz(0.0002) q[5];
rx(0.0026) q[6];
rz(0.0019) q[6];
rx(0.0023) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 0} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.3268568558247049, "params": [[-0.07100000000000001, -0.07490000000000001, -0.069, -0.042300000000000004], [0.0716, 0.07590000000000001, 0.0747, 0.06330000000000001]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.09532250353570208, 0.0953... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.071) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.071) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.071) q[3];
cx q[1], q[3];
rz(0.071) q[2];
rz(0) q[0];
rz(0.071) q[1];
rz(0) q[3];
h q[0];
rz(0.1432) q[0];
h 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] 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[4] c;
qubit[4] ... | null | {"circuits": [], "gradients": []} |
-6049919368163708617 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5, 7], [0, 1, 3, 5, 7], [1, 2, 3, 4, 5], [1, 2, 6], [0, 2, 3, 6, 7], [0, 1, 4, 6, 7], [2, 3, 4, 6, 7], [1, 2, 7], [0, 1, 3, 4], [3, 5, 6]]} | {"states": [191, 175], "expectation_value": -1.445267690657711, "params": [[[1.5897000000000001, 0.009000000000000001], [1.5645, 0.0053], [2.5506, 0.0032], [1.5682, 0.0043], [2.6177, 0.0091], [2.6257, 0.0073], [2.5652, 0.0058000000000000005], [2.6375, 0.008]]], "bitstrings": ["01000000", "01010000"], "total_optimizatio... | 0.1 * (Z(0) @ Z(2)) + 0.2 * (Z(3) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.31666666666666665 * (Z(5) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(5)) + 0.3833333333333333 * (Z(1) @ Z(2)) + 0.1833333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2500000000000004, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5897) q[0];
rz(0.009) q[0];
rx(1.5645) q[1];
rz(0.0053) q[1];
rx(2.5506) q[2];
rz(0.0032) q[2];
rx(1.5682) q[3];
rz(0.0043) q[3];
rx(2.6177) q[4];
rz(0.0091) q[4];
rx(2.6257) q[5];
rz(0.0073) q[5];
rx(2.5652) q[6];
rz(0.0058) q[6];
rx(2.6375) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 19.24986743927002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1248) q[3], q[1];
cry(0.1216) q[1], q[2];
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(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-7026630688166662612 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5], [8, 10], [0, 2], [2, 11], [1, 3], [8, 9], [1, 9], [1, 10], [9, 4], [10, 6], [5, 7]]} | {"states": [1262, 1198], "expectation_value": -1.9902227183513574, "params": [0.4204, 0.4247, 1.0254, 1.0126, 0.4783, 0.47600000000000003, 0.4219, 0.41240000000000004, 1.1628, 1.1583, 0.7033, 0.7152000000000001, 1.1595, 1.1600000000000001, 0.38830000000000003, 0.3875, 1.1245, 1.1338000000000001, 1.1904000000000001, 1.1... | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(4) + 0.0 * Z... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101010001", "010010101110", "110100101110", "001011010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4204) q[0];
ry(1.0254) q[1];
ry(0.4783) q[2];
ry(0.4219) q[3];
ry(1.1628) q[4];
ry(0.7033) q[5];
ry(1.1595) q[6];
ry(0.3883) q[7];
ry(1.1245) q[8];
ry(1.1904) q[9];
ry(1.0867) q[10];
ry(0.4669) q[11];
crz(-0.4609) q[11], q[0];
crz(0.4539) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
986b1865a9c22a7a362946a00f53955a | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [353, 865], "expectation_value": -7.042379531733591, "params": [[-0.00030000000000000003, 1.5893000000000002, -0.0022, 0.9371, 0.6082000000000001, -0.004, 0.0032, 0.0044, -0.016800000000000002, 1.5823], [1.606, 1.5830000000000002, 0.0019, 1.6016000000000001, 1.6115000000000002, -0.0027, 0.0025, 0.00210000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0001011110", "0010011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0003) q[0];
ry(1.5893) q[1];
ry(-0.0022) q[2];
ry(0.9371) q[3];
ry(0.6082) q[4];
ry(-0.004) q[5];
ry(0.0032) q[6];
ry(0.0044) q[7];
ry(-0.0168) q[8];
ry(1.5823) q[9];
cz q[9], 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -0.8020229529214058, "params": [[-0.018000000000000002, 0.0344, 0.0616], [0.0426, -0.016300000000000002, -0.0458]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.006133489570786675, 0.006296456996589265], "optimization_time": 4.2894... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.054) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.036) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.036) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.099) q[7];
cx q[0], q[7];
cx q[7], 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": []} |
c93c70941fd8d4d28f4dd543fade5626 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target":... | {"states": [600, 632], "expectation_value": -8.299785000756607, "params": [1.0050000000000001, 1.0092, -0.0015, 0.0007, 0.002, 0.0039000000000000003, 1.01, 1.0045, 0.8672000000000001, 0.8686, 0.8695, 0.8671000000000001, 1.0007000000000001, 0.9965, -0.0146, -0.0184, 0.0009000000000000001, 0.0012000000000000001, 0.001300... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["0110000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.005) q[0];
ry(-0.0015) q[1];
ry(0.002) q[2];
ry(1.01) q[3];
ry(0.8672) q[4];
ry(0.8695) q[5];
ry(1.0007) q[6];
ry(-0.0146) q[7];
ry(0.0009) q[8];
ry(0.0013) q[9];
crz(-0.5071) q[9], q[0];
crz(0.5685) q[8], q[9];
crz(-0.6347) q[7], q[8];
crz(-0.002) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [129, 1], "expectation_value": -10.395514872067421, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [0.39265181739029803, 0.6073463626735197], "optimization_time": 30.157201290130615} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5709) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
ry(-1.5706) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
cry(1.3413) q[7], q[0];
cry(-0.0027) q[7], q[1];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a5a32c53707adac7f9e2e89e005d6cef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -6.86473622240087, "params": [-0.1726, 2.4956, -0.6362, 0.0038, -0.7449, 1.0973, 0.6567000000000001, 0.009600000000000001, -0.0027, 1.5291000000000001, -0.003, 0.0005, 0.7813, 1.3594000000000002, -0.6251, 0.0009000000000000001, 0.8330000000000001, 1.5386, 0.10500000000000001, 0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["001100000", "000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.1726) q[0];
rz(2.4956) q[0];
rx(-0.7449) q[1];
rz(1.0973) q[1];
rx(-0.0027) q[2];
rz(1.5291) q[2];
rx(0.7813) q[3];
rz(1.3594) q[3];
rx(0.833) q[4];
rz(1.5386) q[4];
rx(-0.8232) q[5];
rz(1.8245) q[5];
rx(0.8479) q[6];
rz(2.1104) q[6];
rx(0.8595) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
2ac4167724e857e24c346af29393e233 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {"weight":... | {"states": [365, 364], "expectation_value": -93.69108148635881, "params": [-0.0026000000000000003, 0.392, -0.0024000000000000002, 0.3924, 0.5269, 0.014100000000000001, 0.5292, 0.0017000000000000001, 0.18680000000000002, 0.2021, 0.18330000000000002, 0.2048, 0.5361, 0.049, 0.5323, 0.0425, 0.5206000000000001, -0.0008, 0.5... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0026) q[0];
rz(0.392) q[0];
rx(0.5269) q[1];
rz(0.0141) q[1];
rx(0.1868) q[2];
rz(0.2021) q[2];
rx(0.5361) q[3];
rz(0.049) q[3];
rx(0.5206) q[4];
rz(-0.0008) q[4];
rx(0.1767) q[5];
rz(0.209) q[5];
rx(0.5358) q[6];
rz(0.0359) q[6];
rx(0.5292) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
17639781641b88f9ffa836608d3b637d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [78, 86], "expectation_value": -2.993130178969948, "params": [[[1.0076, -0.1666, 0.0053, 0.0029000000000000002], [1.0004, -0.3073, 0.7357, 0.30810000000000004], [0.6626000000000001, 0.001, 0.0061, 0.041], [0.5028, -0.0497, 0.9686, 0.0033], [0.5047, 0.2952, -0.046700000000000005, 0.7694000000000001], [0.3362,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01110001", "10101001", "10110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.0076) q[0];
rz(-0.1666) q[0];
ry(1.0004) q[1];
rz(-0.3073) q[1];
ry(0.6626) q[2];
rz(0.001) q[2];
ry(0.5028) q[3];
rz(-0.0497) q[3];
ry(0.5047) q[4];
rz(0.2952) q[4];
ry(0.3362) q[5];
rz(-0.0513) q[5];
ry(0.7667) q[6];
rz(-0.2289) q[6];
ry(0.0029) 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": []} |
05e37fdcc559b4ea28aee1cdec9b62c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2996, 2997], "expectation_value": -3.0733968688658937, "params": [[[0.26380000000000003, 0.2937, 0.008400000000000001, 0.0023], [0.1506, -0.165, 1.0029000000000001, -0.0021000000000000003], [0.9998, -0.0073, 0.9945, -0.08310000000000001], [-0.0603, -0.7207, 0.156, -0.7026], [0.3826, 0.0405, -0.0265000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 11 | 12 | 2 | {"smallest_eigenvalues": [-4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.03125, "smallest_bitstrings": ["001001001010", "010010000011", "000101001010", "010010001010", "00... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2638) q[0];
rz(0.2937) q[0];
ry(0.1506) q[1];
rz(-0.165) q[1];
ry(0.9998) q[2];
rz(-0.0073) q[2];
ry(-0.0603) q[3];
rz(-0.7207) q[3];
ry(0.3826) q[4];
rz(0.0405) q[4];
ry(0.3766) q[5];
rz(-0.0155) q[5];
ry(0.9958) q[6];
rz(0.0035) q[6];
ry(0.4681) 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": []} |
8974e5cad06096779812bbdbc32e906b | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [108, 102], "expectation_value": -4.999883759797813, "params": null, "bitstrings": ["0010011", "0011001"], "total_optimization_steps": 31, "probabilities": [1.6414553731649223e-05, 0.9999151798178287], "optimization_time": 32.28219389915466} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[6];
ry(-1.4449) q[3];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[1];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[5];
cry(0.118... | 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", ... |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [7, 23], "expectation_value": -4.267460298371164, "params": [[-0.0736, -0.0853], [0.0708, 0.0781]], "bitstrings": ["11111000", "11101000"], "total_optimization_steps": 10, "probabilities": [0.012069127502943002, 0.012347711909553135], "optimization_time": 3.468352794647217} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1104) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.4048) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0736) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.1104) q[4];
cx q[0], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6eae64ea8fbb98001d5ee0d40e46d750 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 4}, {"weight": 16, "sour... | {"states": [442, 234], "expectation_value": -11.876568834712176, "params": [[-0.0361], [0.0734]], "bitstrings": ["001000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003923584114655513, 0.004429549203307349], "optimization_time": 1.7919020652770996} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(1) + 10.0 * Z(0) + 18.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.361) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.361) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.361) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.361) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
9dfa6e61b93ce499638bf202901aee84 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [503, 3], "expectation_value": -2.1832912457072866, "params": [[0.0558], [-0.044700000000000004]], "bitstrings": ["000001000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.003023230699976999, 0.0030450686338839143], "optimization_time": 0.8377330303192139} | -3.5 * (Z(0) @ Z(1)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -4.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(6)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + -2.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["111111100"]} | 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(-0.3906) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.2232) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3906) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.4464) q[6];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | {"node": 6} | {"circuits": [], "gradients": []} |
9191824481129773496 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [1, 2], [0, 4], [1, 3], [1, 4]]} | {"states": [22, 7], "expectation_value": -0.06250446637124418, "params": [[-0.0879], [0.0813]], "bitstrings": ["01001", "11000"], "total_optimization_steps": 10, "probabilities": [0.03349678697572781, 0.03436573816437056], "optimization_time": 0.66461181640625} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["11000"]} | 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[2];
rz(-0.0293) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0293) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0293) q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(-0.0879) q[1];
cx q[3], q[1];
cx q[2], q[1];
rz(-0.0879) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} |
59eee088ab9aa40878690eaecc43b854 | 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": [2196, 5268], "expectation_value": -81.37874173471612, "params": [[0.4055, 0.2499, 0.39940000000000003, -0.004, -0.04, 0.4083, -0.040400000000000005, -0.0117, 0.40280000000000005, 0.1922, 0.3992, -0.0439, -0.0262], [0.4051, 0.2495, 0.39990000000000003, -0.0036000000000000003, -0.0201, 0.39980000000000004, -0... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(10)) + 8.5 * (Z(12) @ Z(0)) + 6.5 * Z(0) + 0.5 * Z(1) + 7.5 * Z(2) + -5.5 * Z(3) + 9.0 * Z(5) + -6.5 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-161.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.5, "smallest_bitstrings": ["0101101101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.4055) q[0];
ry(0.2499) q[1];
ry(0.3994) q[2];
ry(-0.004) q[3];
ry(-0.04) q[4];
ry(0.4083) q[5];
ry(-0.0404) q[6];
ry(-0.0117) q[7];
ry(0.4028) q[8];
ry(0.1922) q[9];
ry(0.3992) q[10];
ry(-0.0439) q[11];
ry(-0.0262) q[12];
cz q[12], q[11];
cz q[11], q[10... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [38, 7], "expectation_value": -4.4890656587991264, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 33, "probabilities": [0.06023624493080601, 0.8645378003106239], "optimization_time": 34.30168056488037} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(1.4449) q[4];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[5];
ry(0.7003) q[6];
ry(-0.4549) q[1];
cry(0.4963) q[4], q[6];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039135, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 83.04989886283875} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
cry(1.5708) q[5], q[2];
cry(1.5708) q[6], q[3];
ry(0.9553) q[6];
ry(0.5059) q[3];
cry(0.4991) q[3], q[6];
cry(1.3643) q[3], q[4];
cry(1.3643) q[3], q[7];
cry(-1.4045) q[7], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
519c34a92d635f5d0d1d5056f186a00b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [511, 253], "expectation_value": -6.023907613492215, "params": [[[-0.0026000000000000003, -3.1447000000000003], [-0.003, -0.0025], [-0.003, -0.0029000000000000002], [-0.0019, -0.0023], [-0.002, 0.002], [-0.003, -0.0024000000000000002], [-0.0026000000000000003, -0.0028], [-0.0032, -0.0027], [1.6189, 0.0028]]]... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "100000010", "110000000", "110000010", "110100110", "110101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0026) q[0];
ry(-0.003) q[1];
ry(-0.003) q[2];
ry(-0.0019) q[3];
ry(-0.002) q[4];
ry(-0.003) q[5];
ry(-0.0026) q[6];
ry(-0.0032) q[7];
ry(1.6189) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
406770799011758457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 7], [1, 2, 3, 5, 6], [0, 2, 3, 5, 6], [3, 4], [0, 1, 3, 6, 7], [1, 2, 5, 7], [0, 1, 5], [0, 4], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 5]]} | {"states": [182, 181], "expectation_value": -1.4999470041199718, "params": [[0.37560000000000004], [-0.3764]], "bitstrings": ["01001001", "01001010"], "total_optimization_steps": 40, "probabilities": [0.015378066678561444, 0.015763071015629477], "optimization_time": 3.96304988861084} | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["01001010"]} | 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(0.2003) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1377) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0751) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1127) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
ae05ce72b7df15983d820553f894fc63 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [220, 223], "expectation_value": -6.769907082731684, "params": null, "bitstrings": ["00100011", "00100000"], "total_optimization_steps": 71, "probabilities": [0.14914016997677548, 0.44658881262698996], "optimization_time": 63.0514280796051} | -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];
cry(1.5681) q[5], q[3];
ry(1.0829) q[5];
cry(1.5701) q[3], q[4];
ry(0.3995) q[3];
cry(1.5486) q[6], q[7];
cry(1.2305) q[7], q[6];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[2];
... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5681) 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];\nc[6] = mea... |
7217499c8755ce86e3312f0a98c1fbe3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [264, 268], "expectation_value": -5.9345028186176885, "params": [[[0.4, 0.0023], [-0.021, 0.2141], [-0.0076, -0.20070000000000002], [0.0022, -0.19890000000000002], [0.15940000000000001, 0.128], [0.3961, -0.0021000000000000003], [0.40040000000000003, 0.0021000000000000003], [0.004, 0.19970000000000002], [0.31... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011101110", "011101101", "011110011", "011110101", "011111010", "011011011", "110110011", "011001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4) q[0];
rz(0.0023) q[0];
rx(-0.021) q[1];
rz(0.2141) q[1];
rx(-0.0076) q[2];
rz(-0.2007) q[2];
rx(0.0022) q[3];
rz(-0.1989) q[3];
rx(0.1594) q[4];
rz(0.128) q[4];
rx(0.3961) q[5];
rz(-0.0021) q[5];
rx(0.4004) q[6];
rz(0.0021) q[6];
rx(0.004) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cd6b95f7911cf005cdf71a0eba496ffd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [243, 251], "expectation_value": -8.49999598512711, "params": null, "bitstrings": ["100001100", "100000100"], "total_optimization_steps": 80, "probabilities": [0.49999958250044885, 0.49999958250044885], "optimization_time": 133.44868779182434} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[2];
cry(1.5681) q[2], q[3];
cry(1.5681) q[2], q[7];
cry(1.5486) q[2], q[4];
ry(1.5486) q[1];
cry(1.5706) q[2], q[8];
cry(-1.5706) q[2], q[0];
cry(-1.4449) q[3], q[6];
cry(-0.1... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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] = m... |
ab957251534d09507f870c3a6ef42154 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [32, 48], "expectation_value": -1.5047822045046848, "params": [[[1.6337000000000002, 0.006500000000000001], [1.6297000000000001, 0.01], [-0.0028, 0.0041], [1.4889000000000001, 0.006200000000000001], [-0.0025, 0.0067], [1.4954, 0.0078000000000000005]]], "bitstrings": ["011111", "001111"], "total_optimization_... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101011", "001111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6337) q[0];
rz(0.0065) q[0];
rx(1.6297) q[1];
rz(0.01) q[1];
rx(-0.0028) q[2];
rz(0.0041) q[2];
rx(1.4889) q[3];
rz(0.0062) q[3];
rx(-0.0025) q[4];
rz(0.0067) q[4];
rx(1.4954) q[5];
rz(0.0078) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
8198021928293f705270038472b9e016 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -23.082823650099566, "params": [-0.0018000000000000002, 0.25680000000000003, 0.0025, 0.6029, 0.0025, 0.6029, 0.0023, 0.47740000000000005, -0.0023, -0.0036000000000000003, 0.0025, 0.5780000000000001, 0.0028, -0.5966, 0.0026000000000000003, 0.4592, 0.8, 0.0089, -0.0056, 0.0097, 0.0... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 3 | 9 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0018) q[0];
rz(0.2568) q[0];
rx(0.0025) q[1];
rz(0.6029) q[1];
rx(0.0025) q[2];
rz(0.6029) q[2];
rx(0.0023) q[3];
rz(0.4774) q[3];
rx(-0.0023) q[4];
rz(-0.0036) q[4];
rx(0.0025) q[5];
rz(0.578) q[5];
rx(0.0028) q[6];
rz(-0.5966) q[6];
rx(0.0026) 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": 8} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 37], "expectation_value": -0.12535521558034082, "params": [[-0.029400000000000003, -0.0346, -0.0444], [0.010700000000000001, 0.022000000000000002, 0.0385]], "bitstrings": ["000111", "011010"], "total_optimization_steps": 10, "probabilities": [0.01750027318738929, 0.01750293846224904], "optimization_time... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"]} | 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(-0.0294) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(-0.0294) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(-0.0294) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(-0.0294) q[2];
cx q[3], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
d7d01055332214989e6d0d1158e981dc | 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": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -12.295308595896392, "params": [[[0.012, 0.0031000000000000003], [-0.007500000000000001, 0.0025], [0.0018000000000000002, -0.003], [0.0047, -0.003], [0.0046, -0.0029000000000000002], [1.5534000000000001, -0.001], [0.023200000000000002, 0.0091]], [[-0.0216, -0.0239], [-0.001, -0... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 15 | 7 | 3 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.012) q[0];
ry(-0.0075) q[1];
ry(0.0018) q[2];
ry(0.0047) q[3];
ry(0.0046) q[4];
ry(1.5534) q[5];
ry(0.0232) 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(0.0031) q[0];
ry(0.0025) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} |
-3670075710682441660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [1, 3, 6], [0, 3, 6, 7], [0, 2, 4, 7], [0, 5]]} | {"states": [55, 63], "expectation_value": -0.5891156982523158, "params": [[0.3567], [-0.34440000000000004]], "bitstrings": ["11001000", "11000000"], "total_optimization_steps": 40, "probabilities": [0.010040892080554791, 0.0101383706433406], "optimization_time": 2.911048173904419} | 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7500000000000004, "smallest_bitstrings": ["11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(0.3567) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(0.0595) q[3];
cx q[7], q[3];
cx q[1], q[3];
rz(0.1189) q[3];
cx q[1], q[3];
cx q[7], q[6];
rz(0.0595) q[6];
cx q[7], q[6];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[1];
rz(x0) q[1];
cx q[7],... | null | {"circuits": [], "gradients": []} |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [163, 183], "expectation_value": -12.503222531844179, "params": null, "bitstrings": ["101011100", "101001000"], "total_optimization_steps": 90, "probabilities": [0.24653508301111543, 0.7532227043090644], "optimization_time": 141.17030954360962} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[1];
cry(1.5708) q[1], q[3];
cry(1.5708) q[3], q[8];
cry(-1.5708) q[8], q[0];
cry(-1.5681) q[3], q[2];
cry(1.5626) q[6], q[4];
cry(1.57) q[8], q[7];
cry(-1.4449) q[7], q[5];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
9055093161837602473 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 2, 3, 7], [1, 2, 4, 5], [3, 4], [8, 2, 4], [1, 2, 4, 6], [8, 3, 5, 6], [1, 3], [0, 8, 2], [2, 4, 7], [0, 1, 4, 6]]} | {"states": [476, 472], "expectation_value": -2.8454065176774916, "params": [2.0757, 0.3612, 1.0618, 0.0008, 1.9689, 0.20570000000000002, 1.1615, 0.0038, 2.0873, 0.3205, 1.0448, 0.0059, -0.0039000000000000003, 1.0162, 0.0039000000000000003, 0.007500000000000001, 2.0646, 0.3059, 1.0667, 0.0089, 2.0777, 0.3799, 1.0569, 0.... | 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.916666666666666, -2.916666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["010010001", "000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.0757) q[0];
rz(0.3612) q[0];
rx(1.9689) q[1];
rz(0.2057) q[1];
rx(2.0873) q[2];
rz(0.3205) q[2];
rx(-0.0039) q[3];
rz(1.0162) q[3];
rx(2.0646) q[4];
rz(0.3059) q[4];
rx(2.0777) q[5];
rz(0.3799) q[5];
rx(1.6785) q[6];
rz(-0.3844) q[6];
rx(0.4445) 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": []} |
26d7f56e59bfdf48052023802b40605b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [1, 3], "expectation_value": -3.0564686782356327, "params": [[[0.7486, 0.0337], [0.3866, 0.193], [0.3919, -0.1968], [0.7982, 0.003], [0.8023, -0.0029000000000000002]], [[0.7512000000000001, 0.0037], [0.3956, 0.0014], [0.39580000000000004, 0.0047], [0.8015, 0.005200000000000001], [0.8007000000000001, 0.007200... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.7486) q[0];
rz(0.0337) q[0];
rx(0.3866) q[1];
rz(0.193) q[1];
rx(0.3919) q[2];
rz(-0.1968) q[2];
rx(0.7982) q[3];
rz(0.003) q[3];
rx(0.8023) q[4];
rz(-0.0029) q[4];
rx(0.7512) q[0];
rz(0.0037) q[0];
rx(0.3956) q[1];
rz(0.0014) q[1];
rx(0.3958) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
ec9ee99a99635bfb2894ad6f8f87b80c | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [460, 492], "expectation_value": -4.503419407335589, "params": [-0.0013000000000000002, 0.0047, 1.0072, 1.0013, 1.0029000000000001, 1.0053, 1.0083, 1.0049000000000001, 0.8104, 0.8126, -0.0021000000000000003, -0.0032, 1.0112, 1.0087000000000002, 1.0055, 1.0079, 0.25620000000000004, 0.25, 0.008400000000000001,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -1.0 * Z(9... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0013) q[0];
ry(1.0072) q[1];
ry(1.0029) q[2];
ry(1.0083) q[3];
ry(0.8104) q[4];
ry(-0.0021) q[5];
ry(1.0112) q[6];
ry(1.0055) q[7];
ry(0.2562) q[8];
ry(0.0084) q[9];
crz(-0.5414) q[9], q[0];
crz(0.4003) q[8], q[9];
crz(-0.0295) q[7], q[8];
crz(-0.011) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
-8908759850788202683 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 6], [1, 2, 4, 6, 7], [8, 0, 2], [1, 2, 5, 6, 7, 8], [3, 5], [0, 3, 4, 7, 8], [0, 1, 3, 4, 6, 7], [2, 4, 5, 6, 7, 8]]} | {"states": [475, 411], "expectation_value": -1.6985153461942955, "params": [1.6002, 1.5205, 1.1875, 1.6829, 0.4912, 0.5634, 0.076, 0.07010000000000001, 1.6863000000000001, 1.4924000000000002, 1.2730000000000001, 1.4268, 1.6859000000000002, 0.8027000000000001, 1.6782000000000001, 1.4711, 1.1447, 1.5195, 0.76260000000000... | 0.11666666666666667 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.2333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333334, -2.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0500000000000007, "smallest_bitstrings": ["100001100", "001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.6002) q[0];
ry(1.1875) q[1];
ry(0.4912) q[2];
ry(0.076) q[3];
ry(1.6863) q[4];
ry(1.273) q[5];
ry(1.6859) q[6];
ry(1.6782) q[7];
ry(1.1447) q[8];
crx(0.7626) q[8], q[0];
crx(1.5952) q[7], q[8];
crx(-0.1329) q[6], q[7];
crx(1.2704) q[5], q[6];
crx(1.0027) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
-508403983969535921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [11, 20], "expectation_value": -0.0507661245299771, "params": [[0.07640000000000001], [-0.0849]], "bitstrings": ["10100", "01011"], "total_optimization_steps": 10, "probabilities": [0.03449919102033027, 0.03449919102033027], "optimization_time": 0.36152100563049316} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["01011", "10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.0764) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.0764) q[3];
cx q[2], q[3];
cx q[3], q[0];
rz(0.0764) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0764) q[1];
cx q[0], q[1];
rz(0) q[4];
rz(0) q[2];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
bd9e0113c93c45b06b4996cff164358f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [186, 254], "expectation_value": -14.516049550963922, "params": null, "bitstrings": ["01000101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.0543893623781647, 0.5345719852597998], "optimization_time": 166.03686213493347} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[6], q[2];
ry(1.0079) q[6];
cry(1.5708) q[5], q[1];
ry(1.1003) q[5];
cry(1.5708) q[2], q[3];
cry(1.5708) q[1], q[4];
cry(1.5708) q[2], q[0];
ry(2.6473) q[2];
cry(-1.9718) q[3], q[2];
... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[6], 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] = mea... |
151037f60feb2ab36dd911279333468a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [282, 186], "expectation_value": -1.3635310543216532, "params": [[[0.49910000000000004, -0.10550000000000001, 0.0016, 0.0024000000000000002], [0.23950000000000002, 0.3221, 0.5031, 0.18910000000000002], [-0.037700000000000004, 0.3068, 0.0489, 0.3044], [-0.4697, -0.20720000000000002, 0.504, -0.1060000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(5)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 ... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.3125, "smallest_bitstrings": ["111001000", "101001001", "011000101", "011101000", "011000110", "010111000", "011011000", "011001100", "011... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4991) q[0];
rz(-0.1055) q[0];
ry(0.2395) q[1];
rz(0.3221) q[1];
ry(-0.0377) q[2];
rz(0.3068) q[2];
ry(-0.4697) q[3];
rz(-0.2072) q[3];
ry(0.1962) q[4];
rz(0.3264) q[4];
ry(0.4873) q[5];
rz(0.2469) q[5];
ry(0.3059) q[6];
rz(0.3217) q[6];
ry(0.5025) 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": []} |
-3809314313820656074 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 8, 9, 10], [8, 1, 4, 7], [1, 2, 3, 5, 6, 7, 8, 9, 10], [1, 4, 5, 6, 7, 9, 10], [0, 1, 3, 4, 5, 7, 9, 10], [1, 3, 4, 6, 7, 9, 10]]} | {"states": [1759, 1631], "expectation_value": -1.2618416943429211, "params": [[0.0023, 2.7186000000000003, 0.0025, -0.729, -0.0027, 0.0019, 0.7137, 0.0021000000000000003, 1.443, 0.0018000000000000002, 1.578], [3.1391, 0.4282, -0.0024000000000000002, 2.1498, 3.1390000000000002, 0.0019, 2.4239, 3.1393, 1.7041000000000002... | 0.022222222222222223 * (Z(0) @ Z(3)) + 0.03611111111111111 * (Z(4) @ Z(3)) + 0.040079365079365076 * (Z(4) @ Z(0)) + 0.022222222222222223 * (Z(5) @ Z(3)) + 0.040079365079365076 * (Z(5) @ Z(0)) + 0.06388888888888888 * (Z(5) @ Z(4)) + 0.03611111111111111 * (Z(6) @ Z(3)) + 0.040079365079365076 * (Z(6) @ Z(0)) + 0.053968253... | 10 | 11 | 1 | {"smallest_eigenvalues": [-1.3095238095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3095238095238093, "smallest_bitstrings": ["00110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0023) q[0];
ry(2.7186) q[1];
ry(0.0025) q[2];
ry(-0.729) q[3];
ry(-0.0027) q[4];
ry(0.0019) q[5];
ry(0.7137) q[6];
ry(0.0021) q[7];
ry(1.443) q[8];
ry(0.0018) q[9];
ry(1.578) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [191, 159], "expectation_value": -9.998244594170757, "params": null, "bitstrings": ["101000000", "101100000"], "total_optimization_steps": 63, "probabilities": [0.49913300371250197, 0.49913300371250197], "optimization_time": 95.27326321601868} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[2];
ry(1.5681) q[4];
cry(1.5706) q[4], q[7];
cry(1.5706) q[4], q[6];
ry(1.5708) q[1];
cry(1.5486) q[4], q[5];
cry(1.4449) q[7], q[8];
cry(-1.4433) q[8], q[0];
ry(0.0892) q[8]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
60668963da06e834e19f76557703de50 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [895, 830], "expectation_value": -10.95628762422154, "params": [[-0.12010000000000001, 0.0004, -0.031100000000000003], [0.1685, 0.0936, 0.0932]], "bitstrings": ["1110010000000", "1110011000001"], "total_optimization_steps": 20, "probabilities": [0.0014360908012482736, 0.001436090801248274], "optimization_tim... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 1 | 13 | 3 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110011000001", "1110010000000", "1110101000001", "1110100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[3], q[0];
rz(0.1201) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1201) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.1201) q[4];
cx q[0], q[4];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 21], "expectation_value": -7.38249367585583, "params": null, "bitstrings": ["111111110", "111101010"], "total_optimization_steps": 49, "probabilities": [0.11884327468330771, 0.5379672204827636], "optimization_time": 66.68783044815063} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5706) q[7];
cry(-1.5681) q[8], q[0];
ry(1.111) q[8];
ry(-1.5681) q[3];
ry(-1.5681) q[1];
ry(-0.5312) q[0];
ry(-1.5697) q[5];
cry(0.3393) q[4], q[8];
cry(1.1406) q[4], q[6];
cry(0.841... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039133, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 82.41544938087463} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
cry(1.5708) q[5], q[2];
cry(1.5708) q[6], q[3];
ry(0.9553) q[6];
ry(0.5059) q[3];
cry(0.4991) q[3], q[6];
cry(1.3643) q[3], q[4];
cry(1.3643) q[3], q[7];
cry(-1.4045) q[7], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -10.114807394142757, "params": [[[0.0019, 0.3074], [0.0023, 0.5605], [0.0023, 0.6038], [0.0028, 0.6025], [0.0027, 0.6002000000000001], [0.0034000000000000002, 0.38930000000000003], [0.8081, -0.0013000000000000002]], [[0.0044, 0.0004], [0.0023, 0.001], [0.0023, 0.0082], [0.0028, 0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0019) q[0];
rz(0.3074) q[0];
rx(0.0023) q[1];
rz(0.5605) q[1];
rx(0.0023) q[2];
rz(0.6038) q[2];
rx(0.0028) q[3];
rz(0.6025) q[3];
rx(0.0027) q[4];
rz(0.6002) q[4];
rx(0.0034) q[5];
rz(0.3893) q[5];
rx(0.8081) q[6];
rz(-0.0013) q[6];
rx(0.0044) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [223, 95], "expectation_value": -2.10190490113627, "params": [0.0026000000000000003, 0.7054, 0.7628, 0.2134, 0.767, 0.2262, 0.9952000000000001, 0.13820000000000002, 0.0021000000000000003, 0.7453000000000001, 1.0037, 0.0073, 1.0015, -0.0027, 0.992, -0.0074, 1.0069000000000001, -0.0037, 1.0053, -0.0032, 0.0026... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + ... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.875, "smallest_bitstrings": ["1110100000", "1100100001", "1100100100", "1001100100", "1010100100", "1010100010", "1100101000", "1010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(0.7054) q[0];
rx(0.7628) q[1];
rz(0.2134) q[1];
rx(0.767) q[2];
rz(0.2262) q[2];
rx(0.9952) q[3];
rz(0.1382) q[3];
rx(0.0021) q[4];
rz(0.7453) q[4];
rx(1.0037) q[5];
rz(0.0073) q[5];
rx(1.0015) q[6];
rz(-0.0027) q[6];
rx(0.992) 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": []} |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.16647053890558308, "params": [[0.0412, 0.0], [-0.0381, -0.0103]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004384214541291664, 0.0044097904918525554], "optimization_time": 6.732001066207886} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0206) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0618) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.1236) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0.0412) 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] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
67af624551620c14b190ca5216efe361 | 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": [1350, 327], "expectation_value": -41.135687558051174, "params": [[[1.4898, 0.0318], [0.0761, 0.0077], [1.5024000000000002, 1.2975], [0.2457, 1.2547000000000001], [1.5058, 1.5012], [0.2848, 1.499], [-0.33240000000000003, -0.1264], [-1.3774, 1.3784], [1.508, 1.5011], [1.4979, 1.0263], [1.4918, 1.4994]]], "bit... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + -7.5 * Z(0) + 5.0 * Z(1) + 6.5 * Z(4) + -5.5 * Z(3) + 1.5 * Z(5) + 2.0 * Z(8) + -5.5 * Z(6) + 6.5 * Z(9) + 9.5 * Z(10) + -15.0 * ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.4898) q[0];
ry(0.0761) q[1];
ry(1.5024) q[2];
ry(0.2457) q[3];
ry(1.5058) q[4];
ry(0.2848) q[5];
ry(-0.3324) q[6];
ry(-1.3774) q[7];
ry(1.508) q[8];
ry(1.4979) q[9];
ry(1.4918) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -2.4759388305646026, "params": [[0.0756, 0.077, 0.0784, 0.0736], [-0.07540000000000001, -0.0763, -0.0791, -0.0707]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.024881904789077057, 0.026409239672467284], "optimization_time": 5.6846... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0378) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.1134) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0378) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.1134) q[4];
cx q[3], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
60668963da06e834e19f76557703de50 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [895, 767], "expectation_value": -8.096962523990411, "params": [[-0.056400000000000006, -0.039900000000000005, -0.0317, -0.041], [0.07350000000000001, 0.06330000000000001, 0.0523, 0.059000000000000004]], "bitstrings": ["1110010000000", "1110100000000"], "total_optimization_steps": 10, "probabilities": [0.000... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 1 | 13 | 4 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110011000001", "1110010000000", "1110101000001", "1110100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[3], q[0];
rz(0.0564) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0564) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0564) q[4];
cx q[0], q[4];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 11.738260507583618} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.1186) q[2], q[0];
cry(-0.0027) q[2], q[3];
cry(-0.0005... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
407a5a03219a9cafdd5b5c6eddb9d22b | 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": [326, 358], "expectation_value": -106.03232937199023, "params": [-0.0035, -0.0026000000000000003, 0.3931, 0.3941, -0.019100000000000002, -0.016900000000000002, 0.40130000000000005, 0.4025, 0.28800000000000003, 0.2939, 0.0828, 0.0848, 0.0005, -0.0077, 0.3926, 0.3997, 0.3919, 0.3919, -0.015700000000000002, -0.... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 1.0 * Z(2) + 21.5 * Z(1) + 20.0 * ... | 13 | 10 | 4 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0035) q[0];
ry(0.3931) q[1];
ry(-0.0191) q[2];
ry(0.4013) q[3];
ry(0.288) q[4];
ry(0.0828) q[5];
ry(0.0005) q[6];
ry(0.3926) q[7];
ry(0.3919) q[8];
ry(-0.0157) q[9];
crz(-0.2048) q[9], q[0];
crz(-0.1021) q[8], q[9];
crz(0.0612) q[7], q[8];
crz(0.2915) ... | 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": []} |
6e68ff51ea4cc328f2a9ab8990a6b7b1 | 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": [142, 143], "expectation_value": -74.62869356407269, "params": [[[0.9886, 0.0017000000000000001], [0.0022, 0.007], [0.9937, 0.6960000000000001], [0.0179, 0.7388], [-0.1928, 0.22080000000000002], [0.0213, 0.5235000000000001], [0.0852, 0.9816], [0.0151, 0.9937], [0.9620000000000001, 0.9353], [0.818900000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(4) @ Z(9)) + -5.0 * Z(1) + 15.0 * Z(2) + 15.5 * Z(6) + 1.0 * Z(0) + 11.0 * Z(5) + 13.5 * Z(8) + 15.5 * Z(7) + -0.... | 15 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9886) q[0];
ry(0.0022) q[1];
ry(0.9937) q[2];
ry(0.0179) q[3];
ry(-0.1928) q[4];
ry(0.0213) q[5];
ry(0.0852) q[6];
ry(0.0151) q[7];
ry(0.962) q[8];
ry(0.8189) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
1709095136500400550 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [399, 430], "expectation_value": -2.339051247569687, "params": null, "bitstrings": ["001110000", "001010001"], "total_optimization_steps": 51, "probabilities": [0.023413655866392297, 0.904207125019476], "optimization_time": 118.60204744338989} | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5547) q[0];
ry(1.4449) q[1];
ry(1.1032) q[7];
cry(0.3594) q[0], q[7];
cry(-0.5503) q[5], q[2];
ry(0.6639) q[5];
cry(-0.6289) q[6], q[2];
cry(0.476) q[0], q[5];
cry(-0.3744) q[1], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5547) 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] = m... |
cd168b9dfe6f067036c4fe2db7911cf9 | 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": 5, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -0.4925894206499888, "params": [[0.08], [-0.08170000000000001]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.005650724252938011, 0.005799532689740064], "optimization_time": 1.5593819618225098} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000001"]} | 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(-0.16) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.16) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.24) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.24) q[6];
cx q[5], q[6];
cx q[4], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q... | {"node": 8} | {"circuits": [], "gradients": []} |
-7592907852367266095 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [23, 232], "expectation_value": -0.0760778327883583, "params": [[-0.0473], [0.058300000000000005]], "bitstrings": ["11101000", "00010111"], "total_optimization_steps": 10, "probabilities": [0.0043475633070702725, 0.0043475633070702725], "optimization_time": 0.7035632133483887} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010111", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0473) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(-0.0473) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(-0.0473) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(-0.0473) q[1];
cx q[7], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(x0) q[7];
cx q[0], q[7];
cx q[7]... | null | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.5789953273933186, "params": [[-0.059800000000000006, -0.0663, -0.0403, 0.0098], [0.0709, 0.07980000000000001, 0.07150000000000001, 0.042100000000000005]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010427686320902003, 0.010929... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0299) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0299) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(0.0897) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0897) q[7];
cx q[0], q[7];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fcc8a2921ff598fbb522ec0e0e4e8951 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"sourc... | {"states": [0, 32512], "expectation_value": -73.62856241715703, "params": [[[0.0023, 0.0028], [0.0025, 0.0082], [0.0026000000000000003, 0.0097], [0.0023, 0.0002], [0.0027, 0.006900000000000001], [0.0022, 0.007], [1.6078000000000001, 0.00030000000000000003], [0.0029000000000000002, 0.0056], [0.0022, 0.004800000000000000... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.5 ... | 2 | 15 | 1 | {"smallest_eigenvalues": [-76.99999999999929], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.99999999999967, "smallest_bitstrings": ["000000011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0023) q[0];
rz(0.0028) q[0];
rx(0.0025) q[1];
rz(0.0082) q[1];
rx(0.0026) q[2];
rz(0.0097) q[2];
rx(0.0023) q[3];
rz(0.0002) q[3];
rx(0.0027) q[4];
rz(0.0069) q[4];
rx(0.0022) q[5];
rz(0.007) q[5];
rx(1.6078) q[6];
rz(0.0003) q[6];
rx(0.0029) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
317807697856992497 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [0, 2, 3, 5], [1, 2, 3, 6, 7], [1, 3, 4, 6, 7], [1, 2, 5], [0, 4, 5]]} | {"states": [250, 248], "expectation_value": -0.9299593641322558, "params": [2.601, 0.0088, 2.6515, 0.006200000000000001, 1.8803, 0.0085, 2.6418, 0.0048000000000000004, 2.6549, 0.0061, 1.5499, 0.0047, 1.5626, 0.0091, 1.5225, 0.0023, 0.0088, 0.009000000000000001, 0.006500000000000001, 0.0032, 0.005200000000000001, 0.0, 0... | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(... | 3 | 8 | 1 | {"smallest_eigenvalues": [-1.6500000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.601) q[0];
rz(0.0088) q[0];
rx(2.6515) q[1];
rz(0.0062) q[1];
rx(1.8803) q[2];
rz(0.0085) q[2];
rx(2.6418) q[3];
rz(0.0048) q[3];
rx(2.6549) q[4];
rz(0.0061) q[4];
rx(1.5499) q[5];
rz(0.0047) q[5];
rx(1.5626) q[6];
rz(0.0091) q[6];
rx(1.5225) 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": []} |
76a4494118aeff0994d4aebdc23cfd42 | 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": [1111, 1109], "expectation_value": -47.83215963069168, "params": [1.0091, 0.0019, 0.7151000000000001, 0.35810000000000003, 0.0026000000000000003, 0.6016, 0.742, 0.3199, 0.997, 0.2599, 0.0037, 0.5247, 1.0050000000000001, 0.1173, -0.016800000000000002, 0.5561, 0.9968, 0.1925, 0.7946000000000001, 0.236700000000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 10.0 * Z(0) + 1.5 * Z(1) + -7.0 * Z(2) + 6.5 * Z(4) + 1.5 * Z(3) + 13.5 * Z(6) + -5.5 * Z(5) + 15.0... | 16 | 11 | 2 | {"smallest_eigenvalues": [-121.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.0091) q[0];
rz(0.0019) q[0];
rx(0.7151) q[1];
rz(0.3581) q[1];
rx(0.0026) q[2];
rz(0.6016) q[2];
rx(0.742) q[3];
rz(0.3199) q[3];
rx(0.997) q[4];
rz(0.2599) q[4];
rx(0.0037) q[5];
rz(0.5247) q[5];
rx(1.005) q[6];
rz(0.1173) q[6];
rx(-0.0168) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.48323285254462145, "params": [[0.064, 0.0646, 0.0438, 0.0776], [-0.0695, -0.06770000000000001, -0.034800000000000005, -0.0553]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.04950360839386066, 0.05292164637132376], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.064) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.064) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.064) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.064) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.064) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [84, 85], "expectation_value": -0.8361250813172345, "params": [[[0.2722, -0.0005, 0.0038, 0.0079], [0.3433, -0.0012000000000000001, 0.35200000000000004, 0.0007], [0.0317, 0.0131, 0.0083, 0.019200000000000002], [0.34590000000000004, -0.0024000000000000002, 0.3522, 0.0046], [0.0358, 0.0143, 0.0064, 0.013800000... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 12 | 8 | 3 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["10101010", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2722) q[0];
rz(-0.0005) q[0];
ry(0.3433) q[1];
rz(-0.0012) q[1];
ry(0.0317) q[2];
rz(0.0131) q[2];
ry(0.3459) q[3];
rz(-0.0024) q[3];
ry(0.0358) q[4];
rz(0.0143) q[4];
ry(0.3841) q[5];
rz(-0.002) q[5];
ry(0.5971) q[6];
rz(0.0117) q[6];
ry(0.6018) 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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [0, 8], "expectation_value": -2.0036641197131626, "params": [1.6503, 0.0022, 1.4783000000000002, 0.0032, -0.0029000000000000002, 0.0022, -0.0023, 0.009000000000000001, 0.0045000000000000005, 0.0061, 0.009000000000000001, 0.001], "bitstrings": ["1111", "0111"], "total_optimization_steps": 170, "probabilities"... | 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) | 18 | 4 | 1 | {"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;
rx(1.6503) q[0];
rz(0.0022) q[0];
rx(1.4783) q[1];
rz(0.0032) q[1];
rx(-0.0029) q[2];
rz(0.0022) q[2];
rx(-0.0023) q[3];
rz(0.009) q[3];
crz(0.0045) q[3], q[0];
crz(0.001) q[2], q[3];
crz(0.009) q[1], q[2];
crz(0.0061) q[0], q[1];
c[0] = measure q[0];
c[1] = m... | 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[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
d081b5ece414d97b04408b0b42241cfc | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1615, 1551], "expectation_value": -15.406135227680391, "params": [0.786, 0.0083, 0.7877000000000001, 0.029400000000000003, 0.1671, 0.4113, 0.18130000000000002, 0.3992, -0.3758, 0.29050000000000004, 0.0025, 0.6184000000000001, 0.0019, 0.4948, 0.7837000000000001, 0.002, 0.7857000000000001, 0.0022, 0.777400000... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 18 | 11 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.786) q[0];
rz(0.0083) q[0];
rx(0.7877) q[1];
rz(0.0294) q[1];
rx(0.1671) q[2];
rz(0.4113) q[2];
rx(0.1813) q[3];
rz(0.3992) q[3];
rx(-0.3758) q[4];
rz(0.2905) q[4];
rx(0.0025) q[5];
rz(0.6184) q[5];
rx(0.0019) q[6];
rz(0.4948) q[6];
rx(0.7837) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
7e25bc80cdf895181c3cb661afbef0b1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [124, 127], "expectation_value": -9.236793419797376, "params": null, "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 83, "probabilities": [0.11591687318930628, 0.5398128545306233], "optimization_time": 96.24992513656616} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5708) q[4], q[1];
ry(1.0383) q[4];
cry(1.5708) q[2], q[0];
ry(1.1477) q[2];
ry(0.5061) q[1];
cry(1.5708) q[1], q[3];
ry(0.5622) q[0];
cry(1.5706) q[5], q[6];
cry(0.4161) q[1], q[4];
cry(0.3303) q[0]... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[4], 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]... |
-5657510331550772443 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [166, 93], "expectation_value": -0.004255527908848221, "params": [[-0.0158], [0.015700000000000002]], "bitstrings": ["01011001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.003927014532347845, 0.003928321037485169], "optimization_time": 15.414408683776855} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0053) q[1];
cx q[2], q[1];
cx q[2], q[7];
rz(-0.0105) q[7];
cx q[2], q[7];
cx q[1], q[7];
rz(-0.0053) q[7];
cx q[1], q[7];
cx q[1], q[0];
rz(-0.0158) q[0];
cx q[1], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[7];
rz(x1) q[7];
cx q[2], q[7];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
9087426844362010195 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 4, 6], [0, 1, 4, 6, 7], [8, 1, 7], [2, 4, 6, 7, 8, 9], [8, 3, 5, 6], [0, 2, 3, 4, 8, 9], [0, 9, 3, 7], [0, 2, 3, 4, 5, 8], [10, 7]]} | {"states": [206, 1230], "expectation_value": -1.6991448992285962, "params": [1.5805, 0.0038, 1.3812, 0.0009000000000000001, 0.37420000000000003, 0.0022, 2.7318000000000002, 0.009300000000000001, 2.7416, 0.0025, 1.4543000000000001, 0.0095, 1.4469, 0.0037, 2.5451, 0.0015, 2.8034000000000003, 0.004200000000000001, 2.72530... | 0.2333333333333333 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(0) @ Z(5)) + 0.15 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(1) @ Z(0)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.083333... | 3 | 11 | 1 | {"smallest_eigenvalues": [-2.4666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.433333333333334, "smallest_bitstrings": ["01100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5805) q[0];
rz(0.0038) q[0];
rx(1.3812) q[1];
rz(0.0009) q[1];
rx(0.3742) q[2];
rz(0.0022) q[2];
rx(2.7318) q[3];
rz(0.0093) q[3];
rx(2.7416) q[4];
rz(0.0025) q[4];
rx(1.4543) q[5];
rz(0.0095) q[5];
rx(1.4469) q[6];
rz(0.0037) q[6];
rx(2.5451) 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": []} |
58fa04385078dcdc0b5f9361c481400a | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 109.00370287895203} | 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(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-0.5926) q[6], q[3];
ry(0.8622) q[4];
cry(-0.8963) q[5], q[3];
ry(0.8608) q[0];
cry(-1.1915) q[1], q[2];
cry(0.6159) q[4], q[0];
ry(0.7334) q[5];
cry(-0.4569) q[4], q[3];
cry(0.9004) q[5], q[6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-0.5926) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
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": -4.769063324451827, "params": [[[0.0033, 0.006900000000000001], [0.0023, 0.0027], [0.0025, 0.0009000000000000001], [0.0026000000000000003, 0.009300000000000001], [0.0027, 0.0067], [0.0022, 0.007200000000000001], [0.0026000000000000003, 0.0018000000000000002], [1.609, 0.0002]]], "... | -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) ... | 1 | 8 | 1 | {"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(0.0033) q[0];
rz(0.0069) q[0];
rx(0.0023) q[1];
rz(0.0027) q[1];
rx(0.0025) q[2];
rz(0.0009) q[2];
rx(0.0026) q[3];
rz(0.0093) q[3];
rx(0.0027) q[4];
rz(0.0067) q[4];
rx(0.0022) q[5];
rz(0.0072) q[5];
rx(0.0026) q[6];
rz(0.0018) q[6];
rx(1.609) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
681317cce116b7c317d2d1166a0937e1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 81], "expectation_value": -0.12455059224671944, "params": [[-0.049600000000000005], [0.0656]], "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008485727928386201, 0.008585157617030752], "optimization_time": 2.245770215988159} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0101110", "1010101", "1010011"]} | 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(-0.0496) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0496) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0496) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0496) q[5];
cx q[4], q[5];
cx q[3], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
0196429b0da7e22849832e813b6ffbfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -15.375016766585253, "params": [0.0001, 0.149, 0.0029000000000000002, 0.1433, 0.0008, 0.1436, 0.0006000000000000001, 0.1433, -0.002, 0.11960000000000001, 0.0053, 0.1549, 0.0043, 0.1584, 0.0012000000000000001, 0.1388, 0.0007, 0.12300000000000001, 0.0061, 0.1626, 0.0018000000000000... | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0001) q[0];
rz(0.149) q[0];
rx(0.0008) q[1];
rz(0.1436) q[1];
rx(-0.002) q[2];
rz(0.1196) q[2];
rx(0.0043) q[3];
rz(0.1584) q[3];
rx(0.0007) q[4];
rz(0.123) q[4];
rx(0.0018) q[5];
rz(0.1583) q[5];
rx(0.0078) q[6];
rz(0.0987) q[6];
rx(0.0039) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
bf7a6506725442818eb71bf15301513e | 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": [636, 620], "expectation_value": -93.85852604878656, "params": [0.36100000000000004, -0.126, 0.0045000000000000005, 0.38280000000000003, 0.597, 0.0704, 0.3647, 0.1431, 0.19340000000000002, 0.1801, 0.6065, 0.0037, 0.601, 0.0054, 0.3674, 0.15510000000000002, 0.5989, 0.0048000000000000004, 0.5961000000000001, 0... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(11) @ Z(5)) + 16.0 * Z(2) + 3.5 * Z(0) + 3.5 *... | 18 | 12 | 4 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.0, "smallest_bitstrings": ["110110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.361) q[0];
rz(-0.126) q[0];
rx(0.0045) q[1];
rz(0.3828) q[1];
rx(0.597) q[2];
rz(0.0704) q[2];
rx(0.3647) q[3];
rz(0.1431) q[3];
rx(0.1934) q[4];
rz(0.1801) q[4];
rx(0.6065) q[5];
rz(0.0037) q[5];
rx(0.601) q[6];
rz(0.0054) q[6];
rx(0.3674) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -22.697428577124583, "params": [[0.0292, 0.0066], [-0.0784, -0.0746]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.011228798965981666, 0.013164108527407419], "optimization_time": 4.363154888153076} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "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(0.2336) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2336) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2336) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2336) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1935, 1983], "expectation_value": -9.601668278527573, "params": [0.5714, -0.0455, 0.43620000000000003, 0.0854, 0.5636, -0.0091, 0.43510000000000004, 0.1527, 0.6159, -0.0819, 0.5465, -0.07980000000000001, 0.613, -0.0762, 0.5603, 0.0024000000000000002, 0.5179, 0.23520000000000002, 0.45, 0.07100000000000001, 0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.5714) q[0];
rz(-0.0455) q[0];
rx(0.5636) q[1];
rz(-0.0091) q[1];
rx(0.6159) q[2];
rz(-0.0819) q[2];
rx(0.613) q[3];
rz(-0.0762) q[3];
rx(0.5179) q[4];
rz(0.2352) q[4];
rx(0.622) q[5];
rz(0.2192) q[5];
rx(0.6177) q[6];
rz(0.0467) q[6];
rx(0.5612) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
1ea209d925c573bd928d60ccf2a10775 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 9}, {"source": 1, "target":... | {"states": [138, 650], "expectation_value": -5.960145010102022, "params": [[0.8045, 0.17250000000000001, 0.7981, 0.5831000000000001, -0.012700000000000001, 0.5533, 0.8061, 0.1317, 0.8109000000000001, -0.014700000000000001], [0.7979, 0.0415, 0.8058000000000001, 0.7876000000000001, -0.022500000000000003, 0.1885, 0.8043, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["1100110101", "1110101100", "1110110100", "0101110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8045) q[0];
ry(0.1725) q[1];
ry(0.7981) q[2];
ry(0.5831) q[3];
ry(-0.0127) q[4];
ry(0.5533) q[5];
ry(0.8061) q[6];
ry(0.1317) q[7];
ry(0.8109) q[8];
ry(-0.0147) q[9];
cz q[9], 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
2631876904561401577 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 4], [4, 7], [0, 7], [2, 5, 7], [1, 4, 6], [5, 6, 7], [2, 4, 5, 6], [3, 5], [0, 1, 2, 5]]} | {"states": [51, 236], "expectation_value": -1.0545745730057947, "params": [[-0.2731], [0.2671]], "bitstrings": ["11001100", "00010011"], "total_optimization_steps": 30, "probabilities": [0.013803540056698052, 0.01389677929613665], "optimization_time": 3.049910306930542} | 0.5 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.2731) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.0455) q[1];
cx q[0], q[1];
cx q[0], q[7];
rz(-0.2731) q[7];
cx q[0], q[7];
cx q[1], q[7];
rz(-0.2731) q[7];
cx q[1], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [57275, 56955], "expectation_value": -16.870559900030557, "params": [[[0.0014, 0.45740000000000003, 0.0006000000000000001, 0.0027], [0.0026000000000000003, -0.9228000000000001, 0.5437000000000001, -1.1236000000000002], [1.0333, 0.9902000000000001, 0.9581000000000001, 1.0094], [0.0784, -1.1207, 0.256700000000... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 11 | 16 | 2 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.0014) q[0];
rz(0.4574) q[0];
ry(0.0026) q[1];
rz(-0.9228) q[1];
ry(1.0333) q[2];
rz(0.9902) q[2];
ry(0.0784) q[3];
rz(-1.1207) q[3];
ry(0.0988) q[4];
rz(-0.5562) q[4];
ry(-0.026) q[5];
rz(0.0261) q[5];
ry(0.3996) q[6];
rz(0.0636) q[6];
ry(0.0159) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
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