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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e88900ed7019a142b144e2072f00bcdb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [61, 189], "expectation_value": -3.1927957600672645, "params": [-0.0023, -0.0078000000000000005, 0.302, 0.3034, 0.0454, 0.0429, 0.3037, 0.2995, 0.30610000000000004, 0.30210000000000004, 0.2985, 0.2992, 0.299, 0.30110000000000003, 0.0621, 0.06520000000000001, 0.3079, 0.30460000000000004, -0.0051, -0.008700000... | 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(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101000001", "101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0023) q[0];
ry(0.302) q[1];
ry(0.0454) q[2];
ry(0.3037) q[3];
ry(0.3061) q[4];
ry(0.2985) q[5];
ry(0.299) q[6];
ry(0.0621) q[7];
ry(0.3079) q[8];
crz(-0.0278) q[8], q[0];
crz(0.167) q[7], q[8];
crz(0.0028) q[6], q[7];
crz(-0.0033) q[5], q[6];
crz(0.0023)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
c437b39b5c61c8e77af7bf4313e85ab5 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [1923, 2019], "expectation_value": -0.8636415294922766, "params": [[-0.0658], [0.06330000000000001]], "bitstrings": ["00001111100", "00000011100"], "total_optimization_steps": 10, "probabilities": [0.0007355025450901523, 0.0007593558785314667], "optimization_time": 1.795203447341919} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + -1.5 * Z(7) + -1.5 * Z(6) + 1.5 * Z(8)... | 5 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00000011100"]} | 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(0.1316) q[0];
cx q[1], q[0];
cx q[5], q[4];
rz(0.1316) q[4];
cx q[5], q[4];
cx q[7], q[6];
rz(0.2632) q[6];
cx q[7], q[6];
cx q[7], q[8];
rz(0.2632) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[1], q[0];
cx q[5... | {"node": 6} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [81, 83], "expectation_value": -0.30255222121456404, "params": [0.8941, 0.5844, 0.6635, 0.47100000000000003, 0.9048, -0.06960000000000001, 0.5712, -0.1952, 0.5640000000000001, -0.1832, 0.8038000000000001, -0.17200000000000001, 0.8196, 0.045000000000000005, 0.875, 0.0047, 0.623, 0.005200000000000001, 0.9069, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8941) q[0];
rz(0.5844) q[0];
rx(0.6635) q[1];
rz(0.471) q[1];
rx(0.9048) q[2];
rz(-0.0696) q[2];
rx(0.5712) q[3];
rz(-0.1952) q[3];
rx(0.564) q[4];
rz(-0.1832) q[4];
rx(0.8038) q[5];
rz(-0.172) q[5];
rx(0.8196) q[6];
rz(0.045) q[6];
crz(0.2801) q[6], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
249741342773161377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [1, 3], [0, 5], [2, 4], [3, 5], [1, 5], [1, 2]]} | {"states": [19, 44], "expectation_value": -0.08783809397243887, "params": [[0.0795], [-0.0813]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017678161897894496, 0.017678161897894496], "optimization_time": 1.0331416130065918} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0795) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0795) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(0.0795) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0795) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0795... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [11, 1], "expectation_value": -2.7017094458226296, "params": [[0.0684, 0.0446, 0.056], [-0.0765, -0.0408, -0.0449]], "bitstrings": ["11110100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009913793619934474, 0.01294220450679938], "optimization_time": 5.556600093841553} | -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 | 3 | {"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];
cx q[1], q[0];
rz(-0.0684) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1368) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1368) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0684) q[4];
cx q[1], 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": []} |
18a903ca122a5a524197c72c4677f0cb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [1022, 511], "expectation_value": -24.404799083746433, "params": [[[-0.0112, 1.2741], [-0.0033, 0.020900000000000002], [-0.0027, -0.0027], [-0.0021000000000000003, -0.0029000000000000002], [-0.0024000000000000002, 0.0024000000000000002], [-0.0027, -0.0021000000000000003], [-0.0024000000000000002, -0.0023], [... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0112) q[0];
ry(-0.0033) q[1];
ry(-0.0027) q[2];
ry(-0.0021) q[3];
ry(-0.0024) q[4];
ry(-0.0027) q[5];
ry(-0.0024) q[6];
ry(0.0024) q[7];
ry(-0.4354) q[8];
ry(0.0075) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.7692814894618578, "params": [[-0.068, -0.057600000000000005, -0.015600000000000001], [0.0729, 0.0746, 0.057300000000000004]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.02336893440799597, 0.025491682994693968], "optimization_time"... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.068) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.068) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.068) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.068) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0.068... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
7dd0a85ae083861a7e6473750beb50c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [716, 972], "expectation_value": -1.3092809227914102, "params": [[[0.44420000000000004, 0.1247], [0.49770000000000003, 0.0557], [0.49960000000000004, 0.4257], [0.49710000000000004, 0.4289], [0.08750000000000001, 0.43410000000000004], [0.24150000000000002, 0.0621], [0.0862, 0.5053], [0.1957, 0.1573], [0.4864,... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4442) q[0];
ry(0.4977) q[1];
ry(0.4996) q[2];
ry(0.4971) q[3];
ry(0.0875) q[4];
ry(0.2415) q[5];
ry(0.0862) q[6];
ry(0.1957) q[7];
ry(0.4864) q[8];
ry(0.3049) 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[... | null | {"circuits": [], "gradients": []} |
-8536726310325090405 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4], [0, 2, 3, 5], [0, 4], [1, 3, 5]]} | {"states": [57, 60], "expectation_value": -0.03279673219542749, "params": [[0.0771], [-0.0784]], "bitstrings": ["000110", "000011"], "total_optimization_steps": 10, "probabilities": [0.0164771201691451, 0.0164771201691451], "optimization_time": 1.7323014736175537} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666665, -1.4166666666666665, -1.4166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0000000000000004, "smallest_bitstrings": ["110000", "000110", "000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(0.0257) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0257) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.0257) q[4];
cx q[1], q[4];
cx q[2], q[0];
rz(0.0129) q[0];
cx q[2], q[0];
cx q[4], q[0];
rz(0.0771... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
8ba3b716627498c896f8e55ab6717a32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [502, 153], "expectation_value": -2.296424983412274, "params": [[-0.0801], [0.082]], "bitstrings": ["000001001", "101100110"], "total_optimization_steps": 20, "probabilities": [0.003550592251336437, 0.0035538099217849693], "optimization_time": 16.77463412284851} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"]} | 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(0.0401) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1202) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1602) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2003) 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] 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": []} |
-4817468381157363007 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 10, 2, 7], [0, 3, 5, 8, 9, 10], [1, 2, 3, 4, 10], [1, 2, 6, 8, 9], [0, 1, 5, 6, 9], [0, 1, 4, 5, 8, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 11], [3, 6], [1, 2, 4, 8, 9, 10, 11], [0, 10, 7], [3, 9, 11, 4], [0, 1, 3, 8, 9, 11], [0, 3, 7], [1, 3, 4, 9, 10], [... | {"states": [4048, 4050], "expectation_value": -4.663640176971218, "params": [1.6991, 0.0029000000000000002, 2.1645000000000003, 0.0024000000000000002, 2.2594000000000003, -0.0026000000000000003, 2.4261, -0.0022, 2.6328, 0.0024000000000000002, 3.1392, -0.5953, 4.2793, 0.0015, 3.1396, 0.0002, 0.0024000000000000002, -1.05... | 0.19166666666666665 * (Z(3) @ Z(2)) + 0.2238095238095238 * (Z(4) @ Z(2)) + 0.19166666666666665 * (Z(4) @ Z(3)) + 0.35 * (Z(9) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(4)) + 0.2845238095238095 * (Z(0) @ Z(2)) + 0.1357142857142857 * (Z(0) @ Z(3)) + 0.21785714285714286 * (Z(0) @ Z(4)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-4.897619047619045], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.879761904761904, "smallest_bitstrings": ["000000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6991) q[0];
rz(0.0029) q[0];
rx(2.1645) q[1];
rz(0.0024) q[1];
rx(2.2594) q[2];
rz(-0.0026) q[2];
rx(2.4261) q[3];
rz(-0.0022) q[3];
rx(2.6328) q[4];
rz(0.0024) q[4];
rx(3.1392) q[5];
rz(-0.5953) q[5];
rx(4.2793) q[6];
rz(0.0015) q[6];
rx(3.1396) 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": []} |
6316847380063996466 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [0, 5], [0, 1], [1, 2], [0, 4], [4, 6], [8, 1]]} | {"states": [327, 357], "expectation_value": -0.06754907479848869, "params": [[0.0697], [-0.0704]], "bitstrings": ["010111000", "010011010"], "total_optimization_steps": 10, "probabilities": [0.00222850465515371, 0.00222850465515371], "optimization_time": 1.7067551612854004} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101000111", "010111000", "010011010", "101100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(0.0697) q[3];
cx q[7], q[3];
cx q[5], q[0];
rz(0.0697) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(0.0697) q[1];
cx q[0], q[1];
cx q[1], q[2];
rz(0.0697) q[2];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];... | null | {"circuits": [], "gradients": []} |
4973527a678849b98f57c7e36651dc7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [174, 686], "expectation_value": -1.954935753329781, "params": [[[0.4948, 0.0285], [0.0181, -0.015700000000000002], [0.5085000000000001, 0.0349], [0.2484, 0.2554], [0.4904, 0.2983], [0.49470000000000003, 0.2038], [0.25, 0.4888], [0.1927, 0.5041], [0.4656, 0.5023], [0.47140000000000004, -0.0855]], [[0.4662, 0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001000101", "0101001001", "0110000101", "0110000011", "0111000001", "0101010001", "1101000001", "1000100101",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4948) q[0];
ry(0.0181) q[1];
ry(0.5085) q[2];
ry(0.2484) q[3];
ry(0.4904) q[4];
ry(0.4947) q[5];
ry(0.25) q[6];
ry(0.1927) q[7];
ry(0.4656) q[8];
ry(0.4714) 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[... | null | {"circuits": [], "gradients": []} |
-737611882442974125 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 4, 5], [0, 1, 3, 4, 8], [0, 2, 3, 4, 5, 7, 10], [0, 2, 3, 4, 6, 7, 8, 9], [1, 2, 4, 6], [0, 1, 10, 4], [1, 2, 4, 5, 7, 8, 9, 10], [5, 6], [2, 3, 6, 7, 8, 10], [0, 1, 2, 3, 6, 7, 9, 10], [1, 2, 3, 4, 8, 9, 10], [0, 3, 4, 6, 7, 8, 9, 10]]} | {"states": [1005, 877], "expectation_value": -2.4505518459323854, "params": [-0.0488, 0.0528, 2.2555, 0.8802000000000001, 2.1388000000000003, 1.0424, 2.1390000000000002, 0.9616, 1.9319000000000002, 1.2307000000000001, 0.9164, 2.1565000000000003, 0.3735, -0.334, 1.4682000000000002, 1.6774, 1.5705, 1.5746, 1.5684, 1.5670... | 0.19285714285714284 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.14166666666666666 * (Z(4) @ Z(1)) + 0.21666666666666665 * (Z(5) @ Z(3)) + 0.30833333333333335 * (Z(5) @ Z(1)) + 0.18333333333333332 * (Z(5) @ Z(4)) + 0.09166666666666667 * (Z(6) @ Z(3)) + 0.06785714285714287 * (Z(6) @ Z(1)) + 0.07380952380952... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.6119047619047615], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.588095238095237, "smallest_bitstrings": ["10010010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0488) q[0];
ry(2.2555) q[1];
ry(2.1388) q[2];
ry(2.139) q[3];
ry(1.9319) q[4];
ry(0.9164) q[5];
ry(0.3735) q[6];
ry(1.4682) q[7];
ry(1.5705) q[8];
ry(1.5684) q[9];
ry(2.2093) q[10];
crx(0.0235) q[10], q[0];
crx(0.0083) q[9], q[10];
crx(1.1925) q[8], 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": []} |
7226c8fb2aa84f05d2342b910f15c93d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"sour... | {"states": [226, 224], "expectation_value": -5.009454177327961, "params": [-0.007200000000000001, -0.0, 0.39680000000000004, 0.3985, 0.39590000000000003, 0.397, 0.3946, 0.39690000000000003, 0.0013000000000000002, 0.0046, 0.39080000000000004, 0.3879, -0.0036000000000000003, -0.0013000000000000002, 0.3895, 0.387, -0.0117... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110110", "100110111", "100111011", "101011101", "011001111", "101111001", "100011111", "011011101", "101110101", "011100111", "0111... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0072) q[0];
ry(0.3968) q[1];
ry(0.3959) q[2];
ry(0.3946) q[3];
ry(0.0013) q[4];
ry(0.3908) q[5];
ry(-0.0036) q[6];
ry(0.3895) q[7];
ry(-0.0117) q[8];
crx(-0.1815) q[8], q[0];
crx(-0.1798) q[7], q[8];
crx(0.3618) q[6], q[7];
crx(0.2153) q[5], q[6];
crx(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": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_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": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 9.428876161575317} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[4];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[2];
cry(-0.1259) q[1], q[4];
cry(0.1248) q[1], q[0];
cry(0.1242) q[0], q[1];
c[0] = measure q[0];
c[1] = measur... | 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(-1.5708) 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]... |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [200, 232], "expectation_value": -0.6736294332847734, "params": [1.6031, 0.001, 1.6081, 0.004, 1.5981, 0.0059, 0.0025, 0.0061, 1.6086, 0.0017000000000000001, 1.2782, 0.0098, 1.264, 0.0033, 1.2932000000000001, 0.008400000000000001, 0.004200000000000001, 0.004200000000000001, 0.0094, 0.007200000000000001, 0.00... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 18 | 8 | 1 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6031) q[0];
rz(0.001) q[0];
rx(1.6081) q[1];
rz(0.004) q[1];
rx(1.5981) q[2];
rz(0.0059) q[2];
rx(0.0025) q[3];
rz(0.0061) q[3];
rx(1.6086) q[4];
rz(0.0017) q[4];
rx(1.2782) q[5];
rz(0.0098) q[5];
rx(1.264) q[6];
rz(0.0033) q[6];
rx(1.2932) q[7];
rz(0.008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
843c0b844102c976bf0e3bde4e8ae7cf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [98, 97], "expectation_value": -4.499900323048656, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 30, "probabilities": [1.7187018792325013e-05, 0.9999500709750945], "optimization_time": 20.395888090133667} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0011110"]} | 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[2];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(-1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[0];
ry(1.4384) q[6];
cry(-0.1259) q[1], q[3];
cry(-0.1259) q[6], q[5];
cry(0.1246) q[1], q[6];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-1830776191776840303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [6, 7], [8, 7], [8, 4], [8, 1], [4, 5], [0, 5], [1, 4], [8, 2], [4, 7], [3, 4], [2, 4], [0, 7], [0, 4], [0, 6], [8, 5]]} | {"states": [238, 273], "expectation_value": -0.14983682580273497, "params": [[-0.0697], [0.0692]], "bitstrings": ["100010001", "011101110"], "total_optimization_steps": 10, "probabilities": [0.002264888401307597, 0.002264888401307597], "optimization_time": 2.167513132095337} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101110", "111101010", "100010101", "011101010", "100010001", "000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(-0.0697) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(-0.0697) q[6];
cx q[7], q[6];
cx q[7], q[8];
rz(-0.0697) q[8];
cx q[7], q[8];
cx q[2], q[8];
rz(-0.0697) q[8];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];... | null | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -3.09503190403376, "params": [[-0.0568, -0.0636], [0.0736, 0.06570000000000001]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.027233601763651926, 0.028044672982968075], "optimization_time": 3.2850699424743652} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1988) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1988) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1988) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2272) q[4];
cx q[1], q[4];
cx q[0], q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
16527d193f875954393100e94a8bb60f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3010, 2754], "expectation_value": -89.28954369503735, "params": [1.1975, 0.32130000000000003, -0.0007, 0.6853, 1.1966, 0.13190000000000002, 0.7442000000000001, 0.2412, 1.2076, 0.016900000000000002, 1.1932, 0.2376, 0.5348, 0.4213, 0.0033, -0.7088, 0.0025, 0.8711000000000001, -0.0061, -0.5672, 1.1974, 0.2112,... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(7) @ Z(10)) + -3.0 * Z(1) + 15.0 * Z(0) + 16.0 * Z(2) + 4.5 * Z(3... | 18 | 12 | 2 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["010100111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.1975) q[0];
rz(0.3213) q[0];
rx(-0.0007) q[1];
rz(0.6853) q[1];
rx(1.1966) q[2];
rz(0.1319) q[2];
rx(0.7442) q[3];
rz(0.2412) q[3];
rx(1.2076) q[4];
rz(0.0169) q[4];
rx(1.1932) q[5];
rz(0.2376) q[5];
rx(0.5348) q[6];
rz(0.4213) q[6];
rx(0.0033) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
266260d621043cabf37512f90b4b26ac | 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": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [306, 310], "expectation_value": -1.4306766948102978, "params": [1.6046, 0.0089, 1.2759, 0.0007, 0.0023, 0.0029000000000000002, 1.6042, 0.0036000000000000003, 1.6042, 0.0058000000000000005, 0.0022, 0.0027, 1.5963, 0.0006000000000000001, 1.6084, 0.0019, 1.2778, 0.009300000000000001, 0.0054, 0.0009000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(7)) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.9375, "smallest_bitstrings": ["011001001", "011001100", "101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6046) q[0];
rz(0.0089) q[0];
rx(1.2759) q[1];
rz(0.0007) q[1];
rx(0.0023) q[2];
rz(0.0029) q[2];
rx(1.6042) q[3];
rz(0.0036) q[3];
rx(1.6042) q[4];
rz(0.0058) q[4];
rx(0.0022) q[5];
rz(0.0027) q[5];
rx(1.5963) q[6];
rz(0.0006) q[6];
rx(1.6084) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d56c975033dd057e743f83adc19a7c34 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [81, 89], "expectation_value": -3.0359101064225085, "params": [[-0.0337, 1.0003, -0.0322, 1.0004, 0.9995, 0.002, 0.0028, 0.9988], [0.0105, 0.9972000000000001, 0.0252, 0.3825, 0.37160000000000004, 0.0022, 0.0029000000000000002, 0.9999], [-0.0077, 0.9952000000000001, 0.055400000000000005, 1.0075, 1.00260000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ 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)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["10001110", "01100110", "10100110", "10000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0337) q[0];
ry(1.0003) q[1];
ry(-0.0322) q[2];
ry(1.0004) q[3];
ry(0.9995) q[4];
ry(0.002) q[5];
ry(0.0028) q[6];
ry(0.9988) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -2.2007677490028668, "params": [[0.0641, 0.0627, 0.0661], [-0.0687, -0.0658, -0.057800000000000004]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.016249061122896594, 0.017940082741027652], "optimization_time": 4.59428596496582} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0321) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0962) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0321) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0.0321) q[1];
cx q[4], q[1];
cx q[4], 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": []} |
e252de876257cc088f4245a3485adf9a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [44, 28], "expectation_value": -4.593803239277892, "params": [0.0056, 0.23450000000000001, 0.0046, 0.2564, -0.0018000000000000002, 0.25270000000000004, -0.0011, 0.25, 0.313, 0.1563, 0.303, 0.18030000000000002, 0.3094, 0.1837, 0.3047, 0.1759, 0.35300000000000004, 0.0046, 0.3513, 0.0247, 0.406, 0.0022, 0.40440... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["01110101", "01110011", "11011010", "11100011", "11010011", "10110101", "11101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0056) q[0];
rz(0.2345) q[0];
rx(-0.0018) q[1];
rz(0.2527) q[1];
rx(0.313) q[2];
rz(0.1563) q[2];
rx(0.3094) q[3];
rz(0.1837) q[3];
rx(0.353) q[4];
rz(0.0046) q[4];
rx(0.406) q[5];
rz(0.0022) q[5];
rx(-0.0127) q[6];
rz(0.2059) q[6];
rx(0.1635) 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... | null | {"circuits": [], "gradients": []} |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [86, 104], "expectation_value": -0.17404902940724892, "params": [[0.0494, 0.0009000000000000001], [-0.0429, -0.0224]], "bitstrings": ["0101001", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008469229104889724, 0.00848660186225922], "optimization_time": 2.998523235321045} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) | 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": ["0101011", "0010111", "0101101", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0494) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0494) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.0494) q[4];
cx q[6], q[4];
cx q[1], q[4];
rz(0.0494) q[4];
cx q[1], q[4];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.2640944078944823, "params": [[0.0376, 0.0358, 0.0684], [-0.031100000000000003, -0.0184, -0.0489]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.018701239008395508, 0.018701239008395522], "optimization_time": 3.9180660247802734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0376) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0376) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0376) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0376) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(0.0376... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
347cd23786ada5a7ec96f3799dd0d8dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [148, 180], "expectation_value": -2.782033233810378, "params": [[1.5041, 0.3925, 0.4818, 1.1516, -0.0022, 1.4972, 0.0043, -0.0063], [1.4979, 0.0855, 1.5066000000000002, 1.5046000000000002, -0.0021000000000000003, 1.5031, 0.0024000000000000002, 0.0064]], "bitstrings": ["01101011", "01001011"], "total_optimiza... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 10 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["01011001", "01001011", "10001110", "01001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5041) q[0];
ry(0.3925) q[1];
ry(0.4818) q[2];
ry(1.1516) q[3];
ry(-0.0022) q[4];
ry(1.4972) q[5];
ry(0.0043) q[6];
ry(-0.0063) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 14.221063613891602} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[4];
ry(1.5681) q[2];
ry(1.5681) q[5];
cry(-1.5706) q[2], q[0];
ry(-1.445) q[1];
ry(-1.4418) q[3];
cry(-0.1257) q[5], q[1];
cry(-0.1218) q[5], q[3];
cry(0.021) q[2], q[4];
cry(-0.0002) q[5], q[0];
cry... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.4907081127166748} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5486) q[0];
ry(-1.4449) q[1];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... |
2d02f35370a8769eaaa03bbd3e88b224 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [108, 105], "expectation_value": -4.499134183102601, "params": null, "bitstrings": ["0010011", "0010110"], "total_optimization_steps": 29, "probabilities": [0.06620744839560427, 0.9331647658006808], "optimization_time": 30.766871452331543} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0010011", "0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[0];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[4];
ry(0.7022) q[6];
ry(-0.4578) q[4];
cry(0.497) q[3], q[6];
cry(-0.3761) q[3], q[4];
cry(0.247... | 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", ... |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 53.984888553619385} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | 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(-1.5158) q[5];
ry(1.0337) q[6];
cry(-1.2414) q[4], q[2];
ry(1.2903) q[1];
ry(1.0323) q[3];
cry(-1.0058) q[3], q[0];
cry(0.5004) q[1], q[6];
ry(0.6414) q[4];
ry(-0.4922) q[0];
cry(0.4291) q[6], q[3];
cr... | 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(-1.5158) 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", ... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 16.439262628555298} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-1.0398) q[0], q[3];
cry(-1.0342) q[5], q[2];
ry(0.7003) q[5];
ry(0.6944) q[0];
ry(-0.4549) q[2];
ry(-0.451) q[3];
cry(0.4573) q[0], q[5];
cry(0.4514) q[5], q[0];
cry(-0.35... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
57ee338fb11c54f5732d695ad617aa60 | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -17.906582373769055, "params": [[[0.00030000000000000003, -0.045200000000000004], [0.0018000000000000002, 0.0024000000000000002], [0.005200000000000001, 0.0026000000000000003], [0.0057, 0.0028], [-0.0426, 0.0032], [0.0007, -0.0031000000000000003], [0.0012000000000000001, 0.00... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0003) q[0];
ry(0.0018) q[1];
ry(0.0052) q[2];
ry(0.0057) q[3];
ry(-0.0426) q[4];
ry(0.0007) q[5];
ry(0.0012) q[6];
ry(0.0012) q[7];
ry(2.1893) 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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-5472487724328392289 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4, 5], [3, 4], [0, 3, 5], [0, 1, 5], [2, 3]]} | {"states": [43, 21], "expectation_value": -0.015208532858395482, "params": [[-0.04], [0.0425]], "bitstrings": ["010100", "101010"], "total_optimization_steps": 10, "probabilities": [0.015997441073984146, 0.015997556730731586], "optimization_time": 0.5254573822021484} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.1666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(-0.0133) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0133) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0267) q[5];
cx q[1], q[5];
cx q[4], q[3];
rz(-0.04) q[3];
cx q[4], q[3];
cx q[5], q[3];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(x1) q[5]... | null | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [24, 3], "expectation_value": -3.567525754709025, "params": [[0.06860000000000001, 0.0636, 0.0504], [-0.0546, -0.0685, -0.07100000000000001]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.06829345537807992, 0.07255663277344099], "optimization_time": 3.3086650371551514... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2401) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2401) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2401) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2744) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2744) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [0, 27], "expectation_value": -3.4501357730253996, "params": [[0.14800000000000002, 0.1179, 0.0848, 0.0403], [-0.1683, -0.15510000000000002, -0.1466, -0.1316]], "bitstrings": ["111111", "100100"], "total_optimization_steps": 20, "probabilities": [0.07676678310627821, 0.08928941815198936], "optimization_time"... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.074) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.37) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.296) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.37) q[4];
cx q[2], q[4];
cx q[0], q[5];
rz(0.148) 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": 5} | {"circuits": [], "gradients": []} |
2576254015092375856 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [0, 3, 6], [0, 3, 4], [4, 5, 6], [2, 4], [2, 6, 7], [3, 5, 7], [0, 2], [1, 6], [0, 3, 5], [3, 4, 7], [2, 3, 6]]} | {"states": [139, 143], "expectation_value": -0.9190775281995964, "params": [[-0.2076], [0.2059]], "bitstrings": ["01110100", "01110000"], "total_optimization_steps": 30, "probabilities": [0.009261568603183392, 0.009576386018117763], "optimization_time": 2.7193198204040527} | 0.5 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["01110000"]} | 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(-0.2076) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(-0.1384) q[3];
cx q[7], q[3];
cx q[3], q[0];
rz(-0.2076) q[0];
cx q[3], q[0];
cx q[7], q[6];
rz(-0.0692) q[6];
cx q[7], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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], q[1];
cx q[7], q[3]... | null | {"circuits": [], "gradients": []} |
83e6ae67eaaf3c236b289ec3dffbd0ae | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [2032, 4080], "expectation_value": -18.613897603406247, "params": null, "bitstrings": ["100000001111", "000000001111"], "total_optimization_steps": 100, "probabilities": [0.09542330975465543, 0.13265950421305048], "optimization_time": 286.0400903224945} | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(6) @ Z(4)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["000000001111"]} | 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];
cry(1.5708) q[2], q[6];
cry(1.2796) q[6], q[0];
cry(0.0313) q[6], q[5];
cry(0.0062) q[6], q[7];
cry(0.0232) q[0], q[1];
cry(0.0244) q[0], q[4];
cry(0.0242) q[0]... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
fb0d1a33da7ca6be14bb54cb889ac634 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 4094], "expectation_value": -28.027162141277824, "params": [[[-0.0375, 3.1616], [-0.0027, 0.0026000000000000003], [-0.0028, 0.0018000000000000002], [0.0027, -0.0029000000000000002], [0.0021000000000000003, 0.0024000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0025, 0.0022], [0.002... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0375) q[0];
ry(-0.0027) q[1];
ry(-0.0028) q[2];
ry(0.0027) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(0.0025) q[6];
ry(0.0026) q[7];
ry(0.0022) q[8];
ry(0.0023) q[9];
ry(-1.6331) q[10];
ry(0.0029) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 11} | {"circuits": [], "gradients": []} |
4d778fc08d555f5d794c80ebdd4cf032 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.640629290564304, "params": [0.0047, -0.11410000000000001, -0.0021000000000000003, -0.14170000000000002, 0.0043, -0.1506, 0.0022, -0.1482, 0.0018000000000000002, -0.14150000000000001, 0.003, -0.14930000000000002, 0.0026000000000000003, -0.15280000000000002, 0.0025, -0.1512, 0.... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0047) q[0];
rz(-0.1141) q[0];
rx(0.0043) q[1];
rz(-0.1506) q[1];
rx(0.0018) q[2];
rz(-0.1415) q[2];
rx(0.0026) q[3];
rz(-0.1528) q[3];
rx(0.0012) q[4];
rz(-0.1387) q[4];
rx(0.0043) q[5];
rz(-0.1475) q[5];
rx(0.0063) q[6];
rz(-0.1393) q[6];
rx(0.002) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | 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": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.2695307223734322, "params": [1.6099, 0.0037, -0.0027, 0.0014, 0.0025, 0.0047, 0.0029000000000000002, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], "bitstrings": ["1111", "0111"], "total_optimization_steps": 160, "probabiliti... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 18 | 4 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(1.6099) q[0];
rz(0.0037) q[0];
rx(-0.0027) q[1];
rz(0.0014) q[1];
rx(0.0025) q[2];
rz(0.0047) q[2];
rx(0.0029) q[3];
rz(0.0052) q[3];
crz(0.0068) q[3], q[0];
crz(0.0054) q[2], q[3];
crz(0.0058) q[1], q[2];
crz(0.0072) q[0], q[1];
c[0] = measure q[0];
c[1] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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... | null | {"circuits": [], "gradients": []} |
4689e6baa9337348674476b483dca2ad | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": ... | {"states": [892, 1022], "expectation_value": -1.8616646124877494, "params": [[0.058800000000000005], [-0.054900000000000004]], "bitstrings": ["0010000011", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0015732445986246805, 0.00159237027335367], "optimization_time": 2.5058374404907227} | -2.0 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["0010000011", "0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.2352) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.4116) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0588) q[4];
cx q[0], q[4];
cx q[1], q[7];
rz(-0.294) q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 9} | {"circuits": [], "gradients": []} |
4cc8eef9b6fdc5c2ca5546358a0fc6ad | 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": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [291, 295], "expectation_value": -4.65623953173679, "params": [0.302, 0.30670000000000003, 0.0122, 0.0115, -0.0028, -0.0012000000000000001, 0.30410000000000004, 0.3007, -0.0117, -0.0108, -0.0035, -0.0018000000000000002, 0.2414, 0.2386, 0.3035, 0.3055, 0.2982, 0.303, 0.3045, 0.30660000000000004, 0.01500000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(7) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(3) + -1.0 * Z(4) + -1.0... | 13 | 9 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["011011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.302) q[0];
ry(0.0122) q[1];
ry(-0.0028) q[2];
ry(0.3041) q[3];
ry(-0.0117) q[4];
ry(-0.0035) q[5];
ry(0.2414) q[6];
ry(0.3035) q[7];
ry(0.2982) q[8];
crz(0.0626) q[8], q[0];
crz(0.0427) q[7], q[8];
crz(-0.0092) q[6], q[7];
crz(0.1493) q[5], q[6];
crz(-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... | null | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [95, 127], "expectation_value": -0.8517245312033137, "params": [[-0.0438, -0.0044, -0.023, -0.017400000000000002], [0.0752, 0.02, 0.0222, 0.021]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0056442953825492324, 0.005720737041651297], "optimization_time": 6.356... | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"]} | 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(0.0876) q[0];
cx q[3], q[0];
cx q[6], q[1];
rz(0.1533) q[1];
cx q[6], q[1];
cx q[3], q[7];
rz(0.0876) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.1095) q[7];
cx q[0], q[7];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | 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": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [63, 1], "expectation_value": -0.5638741797471352, "params": [[0.07880000000000001], [-0.0826]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010773718248221275, 0.011436716862642835], "optimization_time": 1.743319034576416} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(-0.1182) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1576) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(-0.197) q[5];
cx q[1], q[5];
cx q[0], q[6];
rz(0.1576) q[6];
cx q[0], q[6];
cx q[2], q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fb3d5aafe0e919d29df46a0781cc0467 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [180, 181], "expectation_value": -75.54011355731878, "params": [[[1.1117000000000001, -0.0031000000000000003], [0.9753000000000001, 0.0032], [0.2441, 0.0], [1.0842, -0.0025], [1.1302, -0.0018000000000000002], [-0.2353, 0.001], [1.322, -0.083], [-0.6305000000000001, 0.2031], [0.669, 0.8216]], [[0.494000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 17.5 * Z(1) + 3.5 * Z(0) + 7.0 * Z(2) + 20.5 * Z(3) + 12... | 15 | 9 | 3 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1117) q[0];
ry(0.9753) q[1];
ry(0.2441) q[2];
ry(1.0842) q[3];
ry(1.1302) q[4];
ry(-0.2353) q[5];
ry(1.322) q[6];
ry(-0.6305) q[7];
ry(0.669) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
cbea2a0bad77c88d1e69497e2bb1bc1a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [172, 236], "expectation_value": -4.530452343682094, "params": [[[0.6099, -0.002], [0.5972000000000001, 0.0035], [0.6039, -0.0009000000000000001], [-0.0071, -0.3229], [0.6081, 0.0006000000000000001], [0.6086, 0.0033], [0.1621, -0.2298], [-0.0095, -0.3124]], [[0.6077, -0.002], [0.6023000000000001, -0.0035], [... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6099) q[0];
rz(-0.002) q[0];
rx(0.5972) q[1];
rz(0.0035) q[1];
rx(0.6039) q[2];
rz(-0.0009) q[2];
rx(-0.0071) q[3];
rz(-0.3229) q[3];
rx(0.6081) q[4];
rz(0.0006) q[4];
rx(0.6086) q[5];
rz(0.0033) q[5];
rx(0.1621) q[6];
rz(-0.2298) q[6];
rx(-0.0095) 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": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 25.62256407737732} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4384) q[3];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[3], q[1];
cry(0.1248) q[0], q[2];
cry(0.1244) q[2], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3858556329495993786 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 2], [1, 3], [0, 4]]} | {"states": [9, 25], "expectation_value": -1.340069727805974, "params": null, "bitstrings": ["10110", "00110"], "total_optimization_steps": 28, "probabilities": [0.3346406274923379, 0.4956746018277389], "optimization_time": 16.987759590148926} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "11000", "10110", "01001", "00111", "00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[3];
cry(-1.0342) q[1], q[2];
ry(1.0293) q[1];
ry(-0.6992) q[2];
cry(-0.6534) q[0], q[3];
ry(0.9979) q[4];
cry(-0.405) q[1], q[3];
cry(0.4207) q[4], q[1];
cry(0.3556) q[1], q[4];
cry(-0.2663) q[4], q[... | 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];\ncry(-1.0342) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
a7fe9655fedac9f37abdc7d4a012da3d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [426, 234], "expectation_value": -11.012211791163391, "params": [[-0.0244, -0.033], [0.0279, 0.0609]], "bitstrings": ["001010101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005048300662593405, 0.0050868544325872525], "optimization_time": 7.17612624168396} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 15.5 * Z(2) + 12.5 * Z(1) + 19.5 * Z(5) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[2];
rz(-0.244) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.244) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.244) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.244) q[5];
cx q[2], 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
d55d504e597705d8581d37ec0d2e41ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.24652961607658463, "params": [[-0.061900000000000004, -0.025400000000000002], [0.07390000000000001, 0.0511]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009779278214032213, 0.010168519309715676], "optimization_time": 2.387223243... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.031) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0929) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0619) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(0.0619) q[5];
cx q[1], q[5];
cx q[5], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 200.85172533988953} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[3];
ry(-0.2982) q[4];
ry(-0.9561) q[0];
cry(-1.2721) q[7], q[4];
cry(-0.7941) q[6], q[3];
cry(-1.5708) q[5], q[2];
ry(1.0183) q[5];
cry(-1.5708) q[6], q[1];
ry(0.8731) q[6];
cry(-0.6... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
cb062721dac4169aab18a52cd1a3a4b2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [338, 466], "expectation_value": -6.594350667551384, "params": [1.6088, 0.0005, 1.6027, 0.004, 1.6092000000000002, 0.0077, 0.032100000000000004, 0.0071, 1.6121, 0.0032, -0.0194, 0.006500000000000001, 0.0034000000000000002, 0.0056, 1.6114000000000002, 0.0077, 0.0023, 0.0015, 0.0056, 0.0043, 0.0092, 0.0011, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6088) q[0];
rz(0.0005) q[0];
rx(1.6027) q[1];
rz(0.004) q[1];
rx(1.6092) q[2];
rz(0.0077) q[2];
rx(0.0321) q[3];
rz(0.0071) q[3];
rx(1.6121) q[4];
rz(0.0032) q[4];
rx(-0.0194) q[5];
rz(0.0065) q[5];
rx(0.0034) q[6];
rz(0.0056) q[6];
rx(1.6114) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -37.32317350749784, "params": [-1.8356000000000001, 0.006200000000000001, -1.6319000000000001, 0.003, -1.6318000000000001, 0.0027, 0.0021000000000000003, 0.0081, 0.0023, 0.0039000000000000003, 1.5865, 0.0034000000000000002, 2.7987, 0.0037, 2.8028, 0.0014, 2.8002000000000002... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 1 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-1.8356) q[0];
rz(0.0062) q[0];
rx(-1.6319) q[1];
rz(0.003) q[1];
rx(-1.6318) q[2];
rz(0.0027) q[2];
rx(0.0021) q[3];
rz(0.0081) q[3];
rx(0.0023) q[4];
rz(0.0039) q[4];
rx(1.5865) q[5];
rz(0.0034) q[5];
rx(2.7987) q[6];
rz(0.0037) q[6];
rx(2.8028) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
43d405fe1a5c36977ae154a616c9f600 | 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": [679, 678], "expectation_value": -42.73644657099233, "params": [0.40130000000000005, 0.4045, 0.0863, 0.0784, 0.39730000000000004, 0.40090000000000003, 0.1892, 0.1948, 0.39890000000000003, 0.40290000000000004, -0.0061, -0.0028, 0.17700000000000002, 0.15660000000000002, 0.4002, 0.3966, 0.3986, 0.40190000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(6) @ Z(8)) + -2.5 * Z(1) + -1.0 * Z(0) + 3.0 * Z(3) + 2.0 * Z(2) + -3.5 * Z(5) + -1.5 * Z(4) + 15.5 * Z(7) + 4.0 * Z(9) + 12.5 * Z(8) + -3.0 * Z(6) | 14 | 10 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["0101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4013) q[0];
ry(0.0863) q[1];
ry(0.3973) q[2];
ry(0.1892) q[3];
ry(0.3989) q[4];
ry(-0.0061) q[5];
ry(0.177) q[6];
ry(0.4002) q[7];
ry(0.3986) q[8];
ry(0.2263) q[9];
crx(0.261) q[9], q[0];
crx(-0.2382) q[8], q[9];
crx(-0.033) q[7], q[8];
crx(0.3874) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
0576f6308603f18731ff58dc6a3ed219 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [1906, 2034], "expectation_value": -2.2025436357974115, "params": [[0.31670000000000004, 1.9934, 0.0, 1.5829, -0.0016, 1.5993000000000002, -0.0043, 1.6153000000000002, 1.2769000000000001, 0.0194, 1.9799, 0.0668], [0.5263, 1.0559, 1.9986000000000002, 1.5525, 1.5937000000000001, 1.5357, 1.9959, 0.8686, 0.7759,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 10 | 12 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3167) q[0];
ry(1.9934) q[1];
ry(0) q[2];
ry(1.5829) q[3];
ry(-0.0016) q[4];
ry(1.5993) q[5];
ry(-0.0043) q[6];
ry(1.6153) q[7];
ry(1.2769) q[8];
ry(0.0194) q[9];
ry(1.9799) q[10];
ry(0.0668) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
a617cd4648156ddc77f993201a7a952c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 156.47544074058533} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.0978) q[5];
cry(-1.5708) q[6], q[3];
ry(0.9474) q[6];
ry(-0.46... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
37fd0d00df56c96829f53fc9062c7a92 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [511, 479], "expectation_value": -23.01674721631948, "params": [[[-0.002, 3.1590000000000003], [0.0019, 0.002], [0.0021000000000000003, 0.002], [1.6063, 0.0026000000000000003], [0.0024000000000000002, -0.0024000000000000002], [-0.0034000000000000002, 0.0029000000000000002], [0.0023, 0.0026000000000000003], [... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.002) q[0];
ry(0.0019) q[1];
ry(0.0021) q[2];
ry(1.6063) q[3];
ry(0.0024) q[4];
ry(-0.0034) q[5];
ry(0.0023) q[6];
ry(0.0022) q[7];
ry(0.0023) 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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"node": 3} | {"circuits": [], "gradients": []} |
1169fb260e2f1ef5a52dd042ed0eaf88 | 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": [175, 167], "expectation_value": -63.17323413952468, "params": [1.4936, 0.2901, 0.5233, 0.5768, 1.4914, 0.24580000000000002, 0.6272, 0.47250000000000003, 0.7695000000000001, -0.35600000000000004, 1.4891, -0.0088, 1.4925000000000002, 0.0044, 1.4907000000000001, 0.0004, 1.4915, 0.0049, 0.5269, 0.0033, 1.488900... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 15.0 * Z(0) + 5.0 * Z(1) + 16.0 * Z(2) + 8.5 * Z(3) + 19... | 18 | 8 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4936) q[0];
rz(0.2901) q[0];
rx(0.5233) q[1];
rz(0.5768) q[1];
rx(1.4914) q[2];
rz(0.2458) q[2];
rx(0.6272) q[3];
rz(0.4725) q[3];
rx(0.7695) q[4];
rz(-0.356) q[4];
rx(1.4891) q[5];
rz(-0.0088) q[5];
rx(1.4925) q[6];
rz(0.0044) q[6];
rx(1.4907) 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], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} |
1b85dbadf49d5e00f9e47be861e776c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [3577, 3545], "expectation_value": -3.3106663699908805, "params": [0.3715, 0.3593, 0.37770000000000004, 0.3748, 0.001, 0.0023, 0.3785, 0.3864, 0.3713, 0.37770000000000004, 0.364, 0.3582, 0.109, 0.10840000000000001, 0.374, 0.37120000000000003, 0.3766, 0.37820000000000004, 0.00030000000000000003, 0.0082, -0.00... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 4 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -3.0625, "smallest_bitstrings": ["100000001110", "000100100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3715) q[0];
ry(0.3777) q[1];
ry(0.001) q[2];
ry(0.3785) q[3];
ry(0.3713) q[4];
ry(0.364) q[5];
ry(0.109) q[6];
ry(0.374) q[7];
ry(0.3766) q[8];
ry(0.0003) q[9];
ry(-0.0025) q[10];
ry(0.3665) q[11];
crx(0.3252) q[11], q[0];
crx(-0.0863) q[10], q[11];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
4526862989461560585 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 5, 7], [1, 3, 4], [1, 2, 6], [0, 2, 4, 5, 7], [0, 3, 5], [0, 1, 2, 7], [0, 1, 4, 5], [5, 6], [0, 1, 2, 3]]} | {"states": [116, 117], "expectation_value": -2.436628252419103, "params": [-0.0026000000000000003, -2.0636, 2.5228, -0.0025, 2.6227, -0.0028, 3.1443000000000003, -0.0334, 4.2164, 0.0031000000000000003, 3.1443000000000003, 0.7409, -0.0025, 2.1921, 1.6532, 0.0088, -0.0026000000000000003, 0.6137, 0.524, 0.0007, 2.073, -1.... | 0.3833333333333333 * (Z(1) @ Z(2)) + 0.1 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.08333333333333333 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-2.566666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5666666666666664, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0026) q[0];
rz(-2.0636) q[0];
rx(2.5228) q[1];
rz(-0.0025) q[1];
rx(2.6227) q[2];
rz(-0.0028) q[2];
rx(3.1443) q[3];
rz(-0.0334) q[3];
rx(4.2164) q[4];
rz(0.0031) q[4];
rx(3.1443) q[5];
rz(0.7409) q[5];
rx(-0.0025) q[6];
rz(2.1921) q[6];
rx(1.6532) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [183, 236], "expectation_value": -32.30168716450327, "params": null, "bitstrings": ["101001000", "100010011"], "total_optimization_steps": 100, "probabilities": [0.0750201672319876, 0.1277175651009538], "optimization_time": 167.18244576454163} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-13.4106) q[6];
ry(16.0867) q[2];
ry(10.8626) q[3];
ry(0.2509) q[1];
ry(-10.4133) q[5];
cry(-5.2679) q[5], q[2];
ry(20.9803) q[8];
cry(27.8317) q[8], q[1];
ry(63.3559) q[0];
cry(13.2111... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-13.4106) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... |
44024677ca28b32241620a387d32f127 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -13.605819679671203, "params": [0.0032, 0.42200000000000004, 0.0026000000000000003, -0.5845, 0.0029000000000000002, 0.5780000000000001, 0.0028, -0.5952000000000001, 0.6137, -0.12510000000000002, 0.0026000000000000003, 0.527, 0.0024000000000000002, 0.4066, 0.8118000000000001, 0.00... | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0032) q[0];
rz(0.422) q[0];
rx(0.0026) q[1];
rz(-0.5845) q[1];
rx(0.0029) q[2];
rz(0.578) q[2];
rx(0.0028) q[3];
rz(-0.5952) q[3];
rx(0.6137) q[4];
rz(-0.1251) q[4];
rx(0.0026) q[5];
rz(0.527) q[5];
rx(0.0024) q[6];
rz(0.4066) q[6];
rx(0.8118) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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": -21.76977628126773, "params": [[0.0165, 0.0132, -0.0073], [-0.0459, -0.0671, -0.053200000000000004]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.009632538264075494, 0.011154106096284196], "optimization_time": 5.43230414390564} | 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 | 3 | {"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(0.132) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.132) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.132) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.132) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-5863800654377472865 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [8, 0, 3], [8, 2, 7], [8, 5], [8, 3, 6], [1, 2], [3, 5, 6, 7], [3, 4, 6], [0, 6, 7], [0, 3, 6]]} | {"states": [362, 378], "expectation_value": -0.12885922041161949, "params": [[0.07680000000000001], [-0.07830000000000001]], "bitstrings": ["010010101", "010000101"], "total_optimization_steps": 10, "probabilities": [0.0022230361049985457, 0.0022416477889196174], "optimization_time": 0.8259177207946777} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.1666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[1];
rz(0.0768) q[1];
cx q[7], q[1];
cx q[7], q[8];
rz(0.0256) q[8];
cx q[7], q[8];
cx q[7], q[0];
rz(0.0256) q[0];
cx q[7], q[0];
cx q[8], q[0];
rz(0.0256) q[0];
cx q[8], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [31, 63], "expectation_value": -2.90802340221544, "params": [[0.0787, 0.0787], [-0.0814, -0.0794]], "bitstrings": ["11100000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.010423119763738286, 0.011822767317021721], "optimization_time": 3.441488265991211} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1968) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1574) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.2361) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(-0.0394) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
2941338081560150588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 4, 6, 7, 11], [1, 2, 3, 6, 8, 9, 10, 11], [0, 9, 2], [0, 3, 11, 5], [0, 1, 3, 5, 6, 7, 8, 9, 10], [2, 3, 4, 6, 7, 10, 11], [0, 1, 2, 5, 6, 7], [0, 2, 5, 6, 7, 10, 11], [3, 4, 5, 7], [1, 2, 3, 5, 7, 8, 9, 10, 11], [8, 2, 6, 7], [0, 1, 2, 3, 4, 6, 8,... | {"states": [1910, 1909], "expectation_value": -3.8521466908086435, "params": [-0.003, 0.8037000000000001, -0.0032, 0.0027, 1.2741, -0.0985, 1.0372000000000001, 0.1226, 1.5745, 0.0027, 1.5721, 0.0024000000000000002, 1.6077000000000001, 0.0022, 1.5385, 0.42160000000000003, -0.1374, -0.0022, 0.13140000000000002, 0.0058000... | 0.3416666666666666 * (Z(0) @ Z(2)) + 0.10833333333333334 * (Z(4) @ Z(2)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.1222222222222222 * (Z(6) @ Z(0)) + 0.30833333333333335 * (Z(6) @ Z(4)) + 0.2448412698412698 * (Z(7) @ Z(2)) + 0.1876984126984127 * (Z(7) @ Z(0)) + 0.19047619047619047 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-3.9869047619047615], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9146825396825378, "smallest_bitstrings": ["100010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.003) q[0];
rz(0.8037) q[0];
rx(1.2741) q[1];
rz(-0.0985) q[1];
rx(1.5745) q[2];
rz(0.0027) q[2];
rx(1.6077) q[3];
rz(0.0022) q[3];
rx(-0.1374) q[4];
rz(-0.0022) q[4];
rx(1.9155) q[5];
rz(0.033) q[5];
rx(1.565) q[6];
rz(0.0022) q[6];
rx(1.5738) 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": []} |
ddcd97e6264d17abe214a40d21cdb7fd | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [4095, 4064], "expectation_value": -4.755279656498403, "params": [[-0.054900000000000004], [0.0709]], "bitstrings": ["000000000000", "000000011111"], "total_optimization_steps": 10, "probabilities": [0.0006761271840215009, 0.0006827285105441987], "optimization_time": 3.9469716548919678} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.3843) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3843) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3294) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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": 12} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 7.880268335342407} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | 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[4];
cry(-1.0343) q[1], q[3];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[1];
ry(0.7003) q[2];
ry(-0.4549) q[3];
ry(-0.4549) q[0];
cry(0.4578) q[2], q[1];
cry(0.4515) q[1], q[2];
cry(-0.3537) q[1], q[0];
cry(-0.34... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-4841471649436295465 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 3, 4, 5, 6], [0, 2], [0, 3, 5, 6], [0, 4, 5]]} | {"states": [107, 106], "expectation_value": -1.39918029793176, "params": null, "bitstrings": ["0010100", "0010101"], "total_optimization_steps": 30, "probabilities": [0.03404713476382358, 0.9079724537602498], "optimization_time": 38.956841707229614} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(3)) + 0.0333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4333333333333333, "smallest_bitstrings": ["0010101"]} | 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(1.3603) q[0];
cry(-1.3544) q[0], q[2];
ry(0.8885) q[3];
cry(0.4305) q[0], q[3];
cry(0.1362) q[3], q[0];
ry(-0.204) q[2];
cry(-0.3727) q[5], q[4];
ry(0.3792) q[5];
cry(-0.306) q[1], q[4];
cry(0.3715) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.3603) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
90ed954541db23a75eecb07977c28089 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 12.983704090118408} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(1.4449) q[1];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[1], q[3];
cry(-0.3789) q[1], q[2];
cry(0.1072) q[3], q[1];
cry(-0.0... | 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];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [23, 87], "expectation_value": -1.6650610898908065, "params": [[[0.3957, 0.005], [0.3514, 0.0175], [0.40080000000000005, 0.1126], [0.193, 0.0912], [0.40190000000000003, 0.0396], [0.1246, 0.0674], [0.4016, -0.054400000000000004], [0.19260000000000002, 0.2071], [0.4046, 0.4053]], [[0.3633, 0.14730000000000001]... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001010", "100101100", "110001010", "100101010", "110001001", "110101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3957) q[0];
ry(0.3514) q[1];
ry(0.4008) q[2];
ry(0.193) q[3];
ry(0.4019) q[4];
ry(0.1246) q[5];
ry(0.4016) q[6];
ry(0.1926) q[7];
ry(0.4046) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -11.645006816306374, "params": [[0.0378], [-0.0683]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.003907269528975217, 0.00435316180645575], "optimization_time": 2.2982990741729736} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3402) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3402) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3402) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3402) 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] 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];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 3], "expectation_value": -3.3305102839829654, "params": [[[0.38830000000000003, -0.2008], [0.385, 0.1966], [0.39, -0.2008], [0.8, -0.0002], [0.806, 0.0009000000000000001]], [[0.391, 0.0037], [0.394, 0.0014], [0.39390000000000003, 0.0047], [0.8032, 0.005200000000000001], [0.8045, 0.007200000000000001]]], ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3883) q[0];
rz(-0.2008) q[0];
rx(0.385) q[1];
rz(0.1966) q[1];
rx(0.39) q[2];
rz(-0.2008) q[2];
rx(0.8) q[3];
rz(-0.0002) q[3];
rx(0.806) q[4];
rz(0.0009) q[4];
rx(0.391) q[0];
rz(0.0037) q[0];
rx(0.394) q[1];
rz(0.0014) q[1];
rx(0.3939) q[2];
rz(0.0047) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"k": 3} | {"circuits": [], "gradients": []} |
561e25a031eb9a8799f924eeb4c8438f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [424, 425], "expectation_value": -1.8035215442225834, "params": [0.6061000000000001, 0.0044, 0.5988, -0.0864, 0.1102, -0.19720000000000001, 0.547, 0.1741, 0.1451, 0.34450000000000003, 0.5938, 0.1158, 0.11330000000000001, 0.2566, 0.1456, -0.224, 0.4627, -0.005200000000000001, 0.6033000000000001, 0.0015, 0.600... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110100", "101100001", "001011001", "010100110", "001010110", "011100100", "001101001", "100100011", "001100101", "00101... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6061) q[0];
rz(0.0044) q[0];
rx(0.5988) q[1];
rz(-0.0864) q[1];
rx(0.1102) q[2];
rz(-0.1972) q[2];
rx(0.547) q[3];
rz(0.1741) q[3];
rx(0.1451) q[4];
rz(0.3445) q[4];
rx(0.5938) q[5];
rz(0.1158) q[5];
rx(0.1133) q[6];
rz(0.2566) q[6];
rx(0.1456) 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} |
-7816867425149819707 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [5, 6], [0, 3], [3, 6], [4, 5], [0, 4], [0, 5], [1, 3], [1, 4], [0, 6], [2, 3]]} | {"states": [51, 76], "expectation_value": -0.062171784516488623, "params": [[0.0574], [-0.0458]], "bitstrings": ["1001100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.008311281587593165, 0.008311281587593165], "optimization_time": 1.656158447265625} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110010", "0001110", "0001101", "1001100", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(0.0574) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(0.0574) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(0.0574) q[0];
cx q[2], q[0];
cx q[4], q[5];
rz(0.0574) q[5];
cx q[4], q[5];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[5];
... | null | {"circuits": [], "gradients": []} |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -9.359381358596814, "params": [[-0.0482], [0.07540000000000001]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.008253599483798961, 0.008542320994166139], "optimization_time": 2.7585959434509277} | 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(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"]} | 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(-0.3856) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3856) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3856) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3856) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.4032099401731353, "params": [[[0.4389, 0.2167], [0.435, 0.221], [0.2954, -0.29610000000000003], [0.8977, 0.00030000000000000003], [0.8077000000000001, 0.0]], [[0.4415, 0.0037], [0.444, 0.0014], [0.2993, 0.0047], [0.9009, 0.005200000000000001], [0.8061, 0.007200000000000001]]],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 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(0.4389) q[0];
rz(0.2167) q[0];
rx(0.435) q[1];
rz(0.221) q[1];
rx(0.2954) q[2];
rz(-0.2961) q[2];
rx(0.8977) q[3];
rz(0.0003) q[3];
rx(0.8077) q[4];
rz(0) q[4];
rx(0.4415) q[0];
rz(0.0037) q[0];
rx(0.444) q[1];
rz(0.0014) q[1];
rx(0.2993) q[2];
rz(0.0047) 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[... | {"k": 3} | {"circuits": [], "gradients": []} |
d5c9e2c60adcce2a7bd44a74474e515b | 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": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [212, 218], "expectation_value": -2.6510145607818947, "params": [[[0.8629, -0.002], [0.8220000000000001, 0.005200000000000001], [0.7373000000000001, 0.0029000000000000002], [0.2227, 0.009300000000000001], [0.735, -0.0313], [0.518, 0.042800000000000005], [0.21200000000000002, -0.00030000000000000003], [-0.140... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ 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)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8629) q[0];
ry(0.822) q[1];
ry(0.7373) q[2];
ry(0.2227) q[3];
ry(0.735) q[4];
ry(0.518) q[5];
ry(0.212) q[6];
ry(-0.1401) q[7];
ry(0.2469) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx 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": []} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 1], "expectation_value": -0.35914506561082826, "params": [[0.0551], [-0.044500000000000005]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.018064726672216327, 0.018277257362269927], "optimization_time": 1.4237587451934814} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1378) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1378) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1102) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0827) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
3a1b6a9bf7270007712b664c84a12e64 | 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": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [22, 113], "expectation_value": -0.2049413717495268, "params": [[-0.054900000000000004], [0.0674]], "bitstrings": ["1101001", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008697683789642313, 0.008817255668095807], "optimization_time": 1.4338507652282715} | 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(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | 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(-0.0549) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0549) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0549) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0549) q[5];
cx q[3], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -0.25673049499918, "params": [[-0.012400000000000001], [0.017]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.00794153225863763, 0.007961371385508266], "optimization_time": 5.743348598480225} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0558) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0558) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0558) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0558) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 4} | {"circuits": [], "gradients": []} |
49c7a353075b9efbb859265b467ce241 | 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": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [13, 205], "expectation_value": -11.307894125906534, "params": [[[-0.027800000000000002, -0.0033, 0.0055000000000000005, 0.0058000000000000005], [-0.0029000000000000002, 0.0708, 0.0034000000000000002, 2.3013], [0.0034000000000000002, 2.2697000000000003, 0.0031000000000000003, 0.335], [0.0025, 0.3252, -0.0135... | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 11 | 9 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0278) q[0];
rz(-0.0033) q[0];
ry(-0.0029) q[1];
rz(0.0708) q[1];
ry(0.0034) q[2];
rz(2.2697) q[2];
ry(0.0025) q[3];
rz(0.3252) q[3];
ry(0.0027) q[4];
rz(2.3489) q[4];
ry(0.0022) q[5];
rz(-0.7582) q[5];
ry(0.0027) q[6];
rz(2.2637) q[6];
ry(0.0021) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.9999957253567353, "params": [0.0019, 0.0037, 1.6031, 0.0014, 0.0025, 0.0047, 0.0025, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], "bitstrings": ["1111", "1011"], "total_optimization_steps": 320, "probabilities": [0.48383233... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 18 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0019) q[0];
rz(0.0037) q[0];
rx(1.6031) q[1];
rz(0.0014) q[1];
rx(0.0025) q[2];
rz(0.0047) q[2];
rx(0.0025) q[3];
rz(0.0052) q[3];
crz(0.0068) q[3], q[0];
crz(0.0054) q[2], q[3];
crz(0.0058) q[1], q[2];
crz(0.0072) q[0], q[1];
c[0] = measure q[0];
c[1] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];
... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
4286d838a0864c608421aefd7c0a8694 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -14.053818806975858, "params": [[[0.0016, 0.006500000000000001], [0.0023, 0.0033], [0.0023, 0.0016], [0.0022, 0.0058000000000000005], [0.0023, 0.0091], [0.0023, 0.008], [1.1924000000000001, 0.0009000000000000001], [1.6066, 0.0047]]], "bitstrings": ["11111111", "11111110"], "total... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0016) q[0];
rz(0.0065) q[0];
rx(0.0023) q[1];
rz(0.0033) q[1];
rx(0.0023) q[2];
rz(0.0016) q[2];
rx(0.0022) q[3];
rz(0.0058) q[3];
rx(0.0023) q[4];
rz(0.0091) q[4];
rx(0.0023) q[5];
rz(0.008) q[5];
rx(1.1924) q[6];
rz(0.0009) q[6];
rx(1.6066) 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] 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;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [49, 177], "expectation_value": -2.04811673208835, "params": [[[0.2016, -0.0012000000000000001], [0.3846, 0.0233], [0.503, 0.0412], [0.5044000000000001, 0.11380000000000001], [0.21150000000000002, 0.1602], [0.3079, 0.019200000000000002], [0.5019, 0.3552], [-0.2731, 0.392]], [[0.442, 0.015700000000000002], [0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(1) @ Z(4)) ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001110", "01001110", "01010110", "00101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2016) q[0];
ry(0.3846) q[1];
ry(0.503) q[2];
ry(0.5044) q[3];
ry(0.2115) q[4];
ry(0.3079) q[5];
ry(0.5019) q[6];
ry(-0.2731) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
410072450c9e6dc16f647e463ce9b924 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [189, 185], "expectation_value": -99.08266687524838, "params": [-0.0023, -0.611, 0.08990000000000001, 0.6174000000000001, 1.0689, 0.0, 0.0026000000000000003, 0.6885, 1.0657, 0.0011, 1.0682, 0.0061, 1.0672000000000001, -0.13190000000000002, 0.4869, -0.2306, 0.0611, 0.6269, 1.0692000000000002, -0.0269, -0.0037... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(4) @ Z(7)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 9.5 * Z(2) + 2.0 * Z(1) + 19.5 * Z... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["1101000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0023) q[0];
rz(-0.611) q[0];
rx(0.0899) q[1];
rz(0.6174) q[1];
rx(1.0689) q[2];
rz(0) q[2];
rx(0.0026) q[3];
rz(0.6885) q[3];
rx(1.0657) q[4];
rz(0.0011) q[4];
rx(1.0682) q[5];
rz(0.0061) q[5];
rx(1.0672) q[6];
rz(-0.1319) q[6];
rx(0.4869) 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], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
8480120542533517580 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 2], [3, 6], [3, 5]]} | {"states": [71, 23], "expectation_value": -1.8391930009208814, "params": null, "bitstrings": ["0111000", "1101000"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442979], "optimization_time": 35.99518847465515} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1101000", "0010111", "0111000", "0110011", "1000111", "0011100", "1001100", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[4], q[1];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[6];
cry(-0.7092) q[5], q[3];
cry(1.1516) q[6], q[5];
ry(0.7003) q[4];
ry(0.7003) q[2];
ry(-0.4549) q[0];
ry(-0.4549)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
171e704e65359d5a57d8a8e54db87dfb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [128, 53], "expectation_value": -6.195944480174282, "params": [[-0.14700000000000002, -0.135, -0.10500000000000001], [0.16720000000000002, 0.16160000000000002, 0.1335]], "bitstrings": ["01111111", "11001010"], "total_optimization_steps": 20, "probabilities": [0.044694042448329446, 0.07434790849828113], "opti... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"]} | 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(0.147) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0735) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.2205) q[6];
cx q[0], q[6];
cx q[4], q[6];
rz(0.147) q[6];
cx q[4], q[6];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d53bc6bd432bf4983d084051835cbd3e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [1, 33], "expectation_value": -20.30281302803658, "params": [-0.037200000000000004, -0.1078, -0.0038, -0.050800000000000005, -0.0051, 0.1549, -0.0044, 0.18380000000000002, -0.0001, 0.23500000000000001, -0.0046, 0.2429, -0.0027, 0.24080000000000001, -0.0037, 0.24330000000000002, 0.2293, 0.0112, 0.2606, 0.0071... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 6 | 10 | 3 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111011110", "1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0372) q[0];
rz(-0.1078) q[0];
rx(-0.0051) q[1];
rz(0.1549) q[1];
rx(-0.0001) q[2];
rz(0.235) q[2];
rx(-0.0027) q[3];
rz(0.2408) q[3];
rx(0.2293) q[4];
rz(0.0112) q[4];
rx(0.0015) q[5];
rz(0.1897) q[5];
rx(-0.0076) q[6];
rz(0.1905) q[6];
rx(0.0044) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | 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": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 11.834853649139404} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "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(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.2489) q[1], q[3];
cry(-0.1488) q[1], q[0];
cry(0.118)... | 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(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
e4c65d82be0d39aa5a43dd21b25413c9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [166, 174], "expectation_value": -2.4534458335622795, "params": [1.0676, -0.0033, 0.004200000000000001, 0.5770000000000001, 1.0571000000000002, 0.2401, 0.4761, 0.7777000000000001, 0.6934, 0.2871, 1.0274, 0.0437, 0.9663, -0.0109, 0.0031000000000000003, -0.5558000000000001, 1.0675000000000001, -0.0029000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["01001100", "01010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0676) q[0];
rz(-0.0033) q[0];
rx(0.0042) q[1];
rz(0.577) q[1];
rx(1.0571) q[2];
rz(0.2401) q[2];
rx(0.4761) q[3];
rz(0.7777) q[3];
rx(0.6934) q[4];
rz(0.2871) q[4];
rx(1.0274) q[5];
rz(0.0437) q[5];
rx(0.9663) q[6];
rz(-0.0109) q[6];
rx(0.0031) 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": []} |
-7875035683127589433 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 7], [8, 3, 5], [8, 1], [1, 5], [4, 6]]} | {"states": [269, 333], "expectation_value": -1.8381515444778667, "params": null, "bitstrings": ["011110010", "010110010"], "total_optimization_steps": 63, "probabilities": [0.20652071761670004, 0.21352919932268866], "optimization_time": 112.6346263885498} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["110110000", "110100100", "010110010", "011100100", "010100110", "0... | 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(1.1408) q[5];
cry(-1.4255) q[8], q[1];
ry(0.8401) q[8];
cry(-0.5695) q[5], q[1];
cry(-1.0342) q[6], q[4];
ry(0.7003) q[6];
cry(0.4996) q[5], q[8];
cry(0.371) q[8], q[5];
ry(-0.4549) q[4... | 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(1.1408) 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] = m... |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [168, 232], "expectation_value": -0.6707384324933819, "params": [0.8003, 0.0061, 0.7955, 0.0001, 0.801, 0.0044, 0.0021000000000000003, -0.5723, 0.8096, 0.001, 0.6496000000000001, 0.06720000000000001, 0.6609, 0.0882, 0.652, 0.0723, 0.8045, 0.005200000000000001, 0.8018000000000001, 0.007200000000000001, 0.8021... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 18 | 8 | 2 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8003) q[0];
rz(0.0061) q[0];
rx(0.7955) q[1];
rz(0.0001) q[1];
rx(0.801) q[2];
rz(0.0044) q[2];
rx(0.0021) q[3];
rz(-0.5723) q[3];
rx(0.8096) q[4];
rz(0.001) q[4];
rx(0.6496) q[5];
rz(0.0672) q[5];
rx(0.6609) q[6];
rz(0.0882) q[6];
rx(0.652) q[7];
rz(0.07... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
7066736891046291838 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 5], [2, 4, 5], [0, 2, 3, 4, 6], [1, 3, 4, 6], [0, 1, 2, 4, 6], [0, 1, 3, 4]]} | {"states": [87, 79], "expectation_value": -1.8764564227654228, "params": null, "bitstrings": ["0101000", "0110000"], "total_optimization_steps": 33, "probabilities": [0.03443834742257956, 0.9557316681503955], "optimization_time": 39.54222559928894} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3 * (Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["0110000"]} | 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(1.5125) q[4];
ry(1.2297) q[5];
ry(0.7019) q[0];
cry(-0.7507) q[3], q[2];
cry(0.5184) q[4], q[0];
cry(-0.6365) q[0], q[1];
ry(0.7189) q[3];
cry(-0.7129) q[5], q[2];
cry(0.5704) q[4], q[3];
cry(-0.6516) ... | 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(1.5125) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
ec174129426dc2a5488500e208d8ad31 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.449940009582477, "params": [-0.0029000000000000002, -0.1668, 0.0034000000000000002, -0.2167, -0.005200000000000001, -0.20650000000000002, -0.0015, -0.1905, 0.0004, -0.1925, -0.005200000000000001, -0.227, -0.0037, -0.218, -0.0006000000000000001, -0.1902, -0.0019, -0.1898, -0.0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-14.75, -14.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.75, "smallest_bitstrings": ["111011110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0029) q[0];
rz(-0.1668) q[0];
rx(-0.0052) q[1];
rz(-0.2065) q[1];
rx(0.0004) q[2];
rz(-0.1925) q[2];
rx(-0.0037) q[3];
rz(-0.218) q[3];
rx(-0.0019) q[4];
rz(-0.1898) q[4];
rx(-0.0017) q[5];
rz(-0.2261) q[5];
rx(-0.0018) q[6];
rz(-0.228) q[6];
rx(-0.0077)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7580317451882973347 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1, 3]]} | {"states": [9, 5], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1010"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.42290338308964454], "optimization_time": 8.852548599243164} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[3], q[2];
ry(0.971) q[3];
ry(-0.6611) q[2];
cry(0.2827) q[1], q[3];
cry(-0.3385) q[1], q[0];
cry(0.2209) q[0], q[3];
cry(-0.1959) q[1], q[2];
ry(0.2778) q[1];
cry(-0.2892) q[0], q[1];
cry(-0.1162) q[0], q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
7785e3e7ad6fcc746d4b86c67fd57c41 | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [33, 37], "expectation_value": -6.127534368712574, "params": [-0.0029000000000000002, -0.27140000000000003, 0.0002, -0.5712, 0.24730000000000002, -0.3573, 0.42960000000000004, -0.0648, 0.003, 1.441, -0.0039000000000000003, 1.6817, 0.0023, 1.604, -0.0041, 0.9165000000000001, -0.4212, 0.8858, -0.37520000000000... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 6 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0029) q[0];
rz(-0.2714) q[0];
rx(0.2473) q[1];
rz(-0.3573) q[1];
rx(0.003) q[2];
rz(1.441) q[2];
rx(0.0023) q[3];
rz(1.604) q[3];
rx(-0.4212) q[4];
rz(0.8858) q[4];
rx(-0.0005) q[5];
rz(1.0181) q[5];
rx(0.5056) q[6];
rz(0.0951) q[6];
crx(0.008) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.5479628100693199, "params": [[[0.43270000000000003, 0.0018000000000000002], [0.1506, 0.152], [0.0989, 0.1364]], [[0.42500000000000004, 0.0018000000000000002], [0.15280000000000002, 0.15230000000000002], [0.108, 0.1285]], [[0.4294, 0.0018000000000000002], [0.1462, 0.1525], [0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.4327) q[0];
rz(0.0018) q[0];
rx(0.1506) q[1];
rz(0.152) q[1];
rx(0.0989) q[2];
rz(0.1364) q[2];
rx(0.425) q[0];
rz(0.0018) q[0];
rx(0.1528) q[1];
rz(0.1523) q[1];
rx(0.108) q[2];
rz(0.1285) q[2];
rx(0.4294) q[0];
rz(0.0018) q[0];
rx(0.1462) q[1];
rz(0.152... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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