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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4372468560084503751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 7, 10], [0, 4, 5, 9, 10], [9, 2, 3, 7], [0, 11], [0, 3, 4], [2, 3, 7, 10, 11], [0, 4, 5, 6], [8, 10, 5], [3, 4, 7], [8, 0], [2, 3, 5, 6], [1, 2, 4, 5, 9], [1, 2, 3, 8, 11], [0, 4, 6, 9, 10], [1, 3, 7, 10, 11], [4, 6, 8, 9, 11], [9, 2, 10, 5], [4... | {"states": [2027, 1003], "expectation_value": -4.624214358610222, "params": [[[-0.18230000000000002, 0.13290000000000002], [-1.6229, 2.5922], [-0.0112, 0.5391], [0.45020000000000004, 0.048600000000000004], [0.1971, 0.151], [0.8773000000000001, 0.5958], [0.6055, 0.6384000000000001], [2.5434, 0.3569], [0.5862, 0.0558], [... | 0.31666666666666665 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.44999999999999996 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(9) @ Z(4)) + 0.15000000000000002 * (Z(9) @ Z(7)) + 0.15000000000000002 * (Z(2) @ Z(5)) + 0.18333333333333335 * (Z(2) @ Z(4)) + 0.35 * (Z(2) @ Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.299999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666666, "smallest_bitstrings": ["110000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.1823) q[0];
ry(-1.6229) q[1];
ry(-0.0112) q[2];
ry(0.4502) q[3];
ry(0.1971) q[4];
ry(0.8773) q[5];
ry(0.6055) q[6];
ry(2.5434) q[7];
ry(0.5862) q[8];
ry(2.322) q[9];
ry(2.3218) q[10];
ry(0.0016) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-5751249132743867441 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [210, 218], "expectation_value": -0.036401386753178756, "params": [[0.0603], [-0.0524]], "bitstrings": ["00101101", "00100101"], "total_optimization_steps": 10, "probabilities": [0.004134818999103526, 0.004145117587509641], "optimization_time": 0.815840482711792} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"]} | 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(0.0201) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0402) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0261) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.0201) q[6];
cx q[3], q[6];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[... | null | {"circuits": [], "gradients": []} |
1536b63d241483fb5dc02588be4ba19b | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [97, 14], "expectation_value": -1.6340420538937104, "params": [[0.0702, 0.0703, 0.0609, 0.06430000000000001], [-0.06470000000000001, -0.0742, -0.0649, -0.0565]], "bitstrings": ["0011110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.017839455302809785, 0.01940506716276185], "optimization_t... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011110", "1010101", "0011101", "1010110", "1110001"]} | 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(0.0702) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0702) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0702) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.0702) q[2];
cx q[3], q[2];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [3711, 4095], "expectation_value": -0.6302452408079285, "params": [[-0.0664], [0.07690000000000001]], "bitstrings": ["000110000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00037089868137943094, 0.00037089868137943094], "optimization_time": 2.097872018814087} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + 1.0 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["000000000000", "000110000000"]} | 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(0.1992) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1992) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0664) q[2];
cx q[0], q[2];
cx q[4], 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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"node": 5} | {"circuits": [], "gradients": []} |
542cdbd85175981b12cba21c5251dcc2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [190, 174], "expectation_value": -79.73450717577681, "params": [0.7358, -0.159, 1.497, 0.006, 0.16540000000000002, -0.3618, 1.4209, -0.0317, 1.4906000000000001, -0.5730000000000001, 1.2236, -0.0478, 1.3298, 0.035300000000000005, 1.499, 0.0027, 0.43620000000000003, -0.5905, 0.7267, 0.1012, 1.499, 0.0804, 0.19... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -2.5 * Z(0) + 9.0 * Z(1) + 23.0 * ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7358) q[0];
rz(-0.159) q[0];
rx(1.497) q[1];
rz(0.006) q[1];
rx(0.1654) q[2];
rz(-0.3618) q[2];
rx(1.4209) q[3];
rz(-0.0317) q[3];
rx(1.4906) q[4];
rz(-0.573) q[4];
rx(1.2236) q[5];
rz(-0.0478) q[5];
rx(1.3298) q[6];
rz(0.0353) q[6];
rx(1.499) 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
8537621717641557796 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6, 8, 9, 10], [0, 7], [1, 3, 8, 9, 10], [1, 5, 7, 8, 11], [0, 1, 2, 3, 9, 10], [4, 6], [3, 4], [4, 5], [1, 3, 7, 8, 10, 11], [10, 2, 4, 7], [3, 5, 7, 8, 10], [9, 2, 4], [2, 3, 7], [0, 2, 5, 6, 10], [3, 7, 8, 9, 10], [10, 6, 7], [1, 4], [2, 3, 5], [0, ... | {"states": [1908, 1916], "expectation_value": -6.035344335215409, "params": [-0.0022, -1.1655, -0.0022, 0.0022, 1.5498, 0.0017000000000000001, 0.9830000000000001, 0.0044, 1.5716, -0.0023, 1.576, 0.0011, 1.5709000000000002, -0.0027, 1.5761, 0.6836, -0.0446, -0.0019, 0.0402, 0.0033, 1.2601, -0.0161, 1.2789000000000001, 0... | 0.13333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333334 * (Z(8) @ Z(6)) + 0.26666666666666666 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(9) @ Z(6)) + 0.21666666666666667 * (Z(9) @ Z(3)) + 0.21666666666666667 * (Z(9) @ Z(8)) + 0.26666666666666666 * (Z(10) @ Z(6)) + 0.26666666666666666 * (Z(10) @ Z(3)) + 0.233333333333... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.050000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.016666666666667, "smallest_bitstrings": ["100010000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0022) q[0];
rz(-1.1655) q[0];
rx(1.5498) q[1];
rz(0.0017) q[1];
rx(1.5716) q[2];
rz(-0.0023) q[2];
rx(1.5709) q[3];
rz(-0.0027) q[3];
rx(-0.0446) q[4];
rz(-0.0019) q[4];
rx(1.2601) q[5];
rz(-0.0161) q[5];
rx(1.5674) q[6];
rz(-0.0027) q[6];
rx(1.5712) 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": []} |
bce5ca5986693901af184e18507446b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.18878502830440705, "params": [[-0.020300000000000002, -0.021500000000000002], [0.0123, 0.013900000000000001]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004224542629682784, 0.004241094189431553], "optimization_time": 3.015176... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0102) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(-0.0203) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.0609) q[1];
cx q[2], q[1];
cx q[1], q[5];
rz(0.0711) q[5];
cx q[1], q[5];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
786fc65b0c160b8b65668d1c378820ac | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [243, 179], "expectation_value": -70.34562623782321, "params": [-0.0024000000000000002, 0.0049, 1.0387, 0.0063, 2.6063, 0.0083, 1.4983, 0.002, 2.6008, 0.0045000000000000005, 2.5961000000000003, 0.0086, 0.0029000000000000002, 0.0077, 0.0019, 0.005, 2.5918, 0.0027, 2.6039000000000003, 0.0077, 0.0077, 0.0075000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 3.5 * Z(1) + 7.5 * Z(2) + 7.0 * Z(4) + -4.0 * Z(0) + 10.0 * Z(3) + 14.5 * Z(5) + -5.5 * Z(6) + -3.0 ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0024) q[0];
rz(0.0049) q[0];
rx(1.0387) q[1];
rz(0.0063) q[1];
rx(2.6063) q[2];
rz(0.0083) q[2];
rx(1.4983) q[3];
rz(0.002) q[3];
rx(2.6008) q[4];
rz(0.0045) q[4];
rx(2.5961) q[5];
rz(0.0086) q[5];
rx(0.0029) q[6];
rz(0.0077) q[6];
rx(0.0019) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-560962805425051736 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2], [0, 2], [2, 3]]} | {"states": [2, 13], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1101", "0010"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898926], "optimization_time": 42.6967658996582} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1101", "0010"]} | 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(0.7003) q[3];
cry(-0.7092) q[1], q[2];
cry(1.1516) q[3], q[1];
cry(1.2546) q[1], q[0];
cry(-0.4071) q[0], q[2];
cry(0.5798) q[1], q[3];
cry(0.2651) q[3], q[0];
cry(0.2195) q[0], q[1];
cry(-0.2418) q[2... | 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... |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1685, 2709], "expectation_value": -1.5106166907730276, "params": [-0.774, -0.6438, 0.48300000000000004, 0.4792, 0.5273, 0.5314, 0.0015, -0.0066, -1.4688, -1.1954, 0.44830000000000003, 0.46950000000000003, 0.0117, 0.0126, 0.5198, 0.5325, 0.0102, -0.0011, 0.5383, 0.5345, -0.0149, 0.0081, 0.5296000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.774) q[0];
ry(0.483) q[1];
ry(0.5273) q[2];
ry(0.0015) q[3];
ry(-1.4688) q[4];
ry(0.4483) q[5];
ry(0.0117) q[6];
ry(0.5198) q[7];
ry(0.0102) q[8];
ry(0.5383) q[9];
ry(-0.0149) q[10];
ry(0.5296) q[11];
crz(-0.3194) q[11], q[0];
crz(1.0703) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2799, 2798], "expectation_value": -5.8761282490339255, "params": [1.7127000000000001, 0.11330000000000001, 0.521, 0.9155000000000001, 1.7468000000000001, 0.45690000000000003, 0.6415000000000001, -0.668, 1.6494, -0.3301, 1.5589000000000002, 0.0073, 1.6638000000000002, 0.0199, 0.8357, 0.7082, 1.447, 0.3637, 1... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.7127) q[0];
rz(0.1133) q[0];
rx(0.521) q[1];
rz(0.9155) q[1];
rx(1.7468) q[2];
rz(0.4569) q[2];
rx(0.6415) q[3];
rz(-0.668) q[3];
rx(1.6494) q[4];
rz(-0.3301) q[4];
rx(1.5589) q[5];
rz(0.0073) q[5];
rx(1.6638) q[6];
rz(0.0199) q[6];
rx(0.8357) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
fb6267fe9e00f958431b621d7db08da1 | 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": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.4761106844717504, "params": [[0.0724, 0.0639, 0.06380000000000001], [-0.07970000000000001, -0.0568, -0.0539]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.014108248522967605, 0.015645271773516028], "optimization_time": 3.560153961... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0362) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0724) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(-0.0362) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0362) q[2];
cx q[1], q[2];
cx q[5], 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": []} |
15323fff8a86688a67a3412302b595a8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [5344, 7392], "expectation_value": -6.68724355301115, "params": [0.0024000000000000002, 0.5075000000000001, 0.0025, 0.009300000000000001, -0.0012000000000000001, -0.0036000000000000003, 0.006200000000000001, 0.0045000000000000005, 0.8024, 0.006200000000000001, 0.8053, 0.00030000000000000003, 0.79570000000000... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 5 | 15 | 1 | {"smallest_eigenvalues": [-17.799999999999823], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999844, "smallest_bitstrings": ["110001100011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0024) q[0];
rz(0.5075) q[0];
rx(-0.0012) q[1];
rz(-0.0036) q[1];
rx(0.8024) q[2];
rz(0.0062) q[2];
rx(0.7957) q[3];
rz(0.006) q[3];
rx(0.7996) q[4];
rz(0.006) q[4];
rx(-0.0019) q[5];
rz(-0.0145) q[5];
rx(0.0024) q[6];
rz(0.3991) q[6];
rx(0.8106) 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": 6} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 16.93510103225708} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 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)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["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];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(0.1187) q[1], q[5];
cry(0.1188) q[5], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[5], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ed0b71b08ec9de27a3c8e799f071135d | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [998, 486], "expectation_value": -3.296685119020498, "params": [[[0.8023, 0.0059], [0.7904, 0.0021000000000000003], [0.7885000000000001, 0.0055000000000000005], [0.7888000000000001, 0.0017000000000000001], [0.7853, -0.0028], [0.0132, -0.0007], [0.0383, 0.0414], [0.1148, 0.7801], [0.09720000000000001, 0.58810... | 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": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.6875, "smallest_bitstrings": ["0001011001", "0010011001", "0010011010", "1001001001", "0100011001", "0010111000", "1000011001", "1000001101", "00001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8023) q[0];
ry(0.7904) q[1];
ry(0.7885) q[2];
ry(0.7888) q[3];
ry(0.7853) q[4];
ry(0.0132) q[5];
ry(0.0383) q[6];
ry(0.1148) q[7];
ry(0.0972) q[8];
ry(0.196) 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": []} |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423464, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 104.86452651023865} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[4];
cry(1.5708) q[4], q[3];
cry(1.5626) q[7], q[6];
cry(1.2309) q[6], q[7];
cry(1.5486) q[3], q[5];
cry(1.5486) q[6], q[2];
cry(1.5626) q[5], q[1];
cry(-1.3016) q[7], q[0];
cry(0.7966... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
6767011186519969808 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3], [8, 7], [2, 4, 5], [2, 4, 6], [8, 6], [0, 1, 2, 3], [8, 1], [0, 1, 2, 7], [4, 6, 7], [2, 3, 7], [3, 6, 7], [0, 5, 6], [1, 2, 4]]} | {"states": [461, 462], "expectation_value": -3.479388797573823, "params": null, "bitstrings": ["000110010", "000110001"], "total_optimization_steps": 59, "probabilities": [0.09390365562267974, 0.8184311666195702], "optimization_time": 128.52373337745667} | 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.25 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.750000000000001, -3.750000000000001], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.666666666666668, "smallest_bitstrings": ["000110001", "000111001"]} | 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(1.5651) q[2];
ry(1.4449) q[6];
cry(-1.3577) q[7], q[8];
ry(0.8611) q[7];
cry(-0.5714) q[6], q[8];
ry(1.3423) q[1];
cry(-1.3714) q[6], q[4];
cry(0.5193) q[2], q[7];
cry(-0.2684) q[2], q[... | 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(1.5651) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
d73d59d8534bb2db64056b6b376ab049 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -5.913880455426702, "params": null, "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 94, "probabilities": [0.10228472684526303, 0.6377089454731641], "optimization_time": 166.80070233345032} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5486) q[1], q[4];
cry(1.228) q[4], q[1];
cry(1.57) q[1], q[5];
cry(1.5486) q[1], q[6];
cry(-1.5158) q[7], q[0];
ry(0.9382) q[7];
cry(1.547) q[5], q[3];
cry(1.3483) q[4], q[2];
cry(0.2871) q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5486) q[1], 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] = mea... |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [36, 3], "expectation_value": -2.9937275138963546, "params": [[0.056900000000000006], [-0.0517]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.0192540990731019, 0.01944349546747679], "optimization_time": 2.1491570472717285} | 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.256) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.256) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.256) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.256) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.256) 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[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[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 4} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [245, 427], "expectation_value": -2.1764996231616967, "params": [[-0.0505, -0.0585, -0.069, -0.0753], [0.060000000000000005, 0.0668, 0.07200000000000001, 0.0732]], "bitstrings": ["100001010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0065410504237997024, 0.006541050423799705], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0505) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0505) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0505) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0505) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
85c8757124727aa7d8363baec142011e | 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": [2818, 2826], "expectation_value": -43.691772705039654, "params": [[[0.042300000000000004, 0.2828], [0.6812, 0.16160000000000002], [0.6985, 0.5483], [0.8299000000000001, 0.43860000000000005], [0.2847, 0.8913000000000001], [-0.2412, 0.8822000000000001], [0.2927, 0.5664], [-0.157, -0.09910000000000001], [0.896... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(5) @ Z(10)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(10)) + 11.0 * Z(1) + 15.0 * Z(0) + 14.5 * Z(2) + 0.5 * Z(4) + 7.0 * Z(3) + -4.5 * Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["010011110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0423) q[0];
ry(0.6812) q[1];
ry(0.6985) q[2];
ry(0.8299) q[3];
ry(0.2847) q[4];
ry(-0.2412) q[5];
ry(0.2927) q[6];
ry(-0.157) q[7];
ry(0.8966) q[8];
ry(0.1904) q[9];
ry(0.8867) q[10];
ry(0.901) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -1.6943119870731012, "params": [0.765, 0.7938000000000001, 0.006500000000000001, 1.9922000000000002, 0.161, 1.1546, 0.48190000000000005, 0.2092, 0.6774, 1.1466, 0.025, 0.8722000000000001, 0.26, 1.3131000000000002, 0.4949, 0.552, -0.4602, 0.8817, -0.0297, 1.5145000000000002, 0.243... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 4 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.765) q[0];
rz(0.7938) q[0];
rx(0.0065) q[1];
rz(1.9922) q[1];
rx(0.161) q[2];
rz(1.1546) q[2];
rx(0.4819) q[3];
rz(0.2092) q[3];
crx(0.3126) q[3], q[2];
crx(-0.3318) q[2], q[1];
crx(1.7806) q[1], q[0];
rx(0.6774) q[0];
rz(1.1466) q[0];
rx(0.025) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [425, 421], "expectation_value": -0.1660877736758614, "params": [0.2411, 0.1258, 0.22290000000000001, 0.12380000000000001, 0.3247, 0.0497, 0.3185, 0.054200000000000005, 0.3104, 0.07200000000000001, 0.314, 0.083, 0.272, 0.1194, 0.2711, 0.11660000000000001, 0.33590000000000003, 0.0466, 0.335, 0.0514, 0.2269000... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 10 | 3 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2411) q[0];
rz(0.1258) q[0];
rx(0.3247) q[1];
rz(0.0497) q[1];
rx(0.3104) q[2];
rz(0.072) q[2];
rx(0.272) q[3];
rz(0.1194) q[3];
rx(0.3359) q[4];
rz(0.0466) q[4];
rx(0.2269) q[5];
rz(0.1299) q[5];
rx(0.2848) q[6];
rz(-0.0851) q[6];
rx(0.2907) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 167.67445015907288} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(-9.9218) q[2];
ry(11.4714) q[1];
ry(32.424) q[5];
cry(-38.4754) q[5], q[4];
cry(-7.2533) q[2], q[4];
cry(2.5282) q[5], q[2];
cry(0.3419) q[4], q[2];
ry(0.0017) q[0];
cry(0.0665... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) 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[... |
82fbef622e63fd615445774db4f26c42 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [385, 384], "expectation_value": -29.289359844089155, "params": null, "bitstrings": ["001111110", "001111111"], "total_optimization_steps": 100, "probabilities": [0.16216624971074403, 0.2138663173663799], "optimization_time": 241.25825953483582} | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -4.0 * (Z(8) @ Z(2)) + 2.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(6)) + 2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001111111"]} | 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(-1.5577) q[3];
ry(-0.1973) q[8];
ry(-0.1785) q[6];
cry(-0.9209) q[6], q[8];
ry(-1.0931) q[2];
ry(-0.7343) q[7];
ry(-0.0406) q[5];
cry(0.1187) q[5], q[6];
cry(-0.1044) q[1], q[6];
cry(-0... | null | {"node": 6} | {"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(-1.5577) 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] = ... |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 33.867090463638306} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[1];
ry(1.5708) q[3];
cry(1.0097) q[3], q[2];
ry(0.5186) q[1];
cry(0.4501) q[1], q[2];
cry(1.5599) q[1], q[5];
cry(-1.5702) q[5], q[0];
ry(-1.5499) q[4];
cry(-0.0881) q[3], q[5];
cry(0.0958) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[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 \... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_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": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 73.6802179813385} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(1.0343) q[4], q[6];
ry(1.0343) q[5];
cry(-1.3791) q[5], q[3];
cry(0.3667) q[0], q[5];
cry(1.0343) q[8], q[1];
cry(-1.4006) q[1], q[2]... | null | {"number_of_colors": 3} | {"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(1.5681) q[8];\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... |
5dcd5fefc0e3088cb64ffe464a9a8b84 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -20.798458215567198, "params": [[[-0.9406, 1.1101], [-0.0025, 1.1051], [-0.0024000000000000002, -0.0022], [-0.0035, 0.001], [-0.0023, 0.08460000000000001], [-0.0021000000000000003, 0.0019], [-0.0027, -0.003], [-0.003, -0.0023], [0.0021000000000000003, -0.0027], [-0.0028, -0... | 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(7)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(9)) + -3.0 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.9406) q[0];
ry(-0.0025) q[1];
ry(-0.0024) q[2];
ry(-0.0035) q[3];
ry(-0.0023) q[4];
ry(-0.0021) q[5];
ry(-0.0027) q[6];
ry(-0.003) q[7];
ry(0.0021) q[8];
ry(-0.0028) q[9];
ry(-0.0022) q[10];
ry(-0.003) q[11];
ry(-0.0031) q[12];
cx q[12], q[0];
cx q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 0} | {"circuits": [], "gradients": []} |
f848d40cbfa43815a8aa73d15a4c0574 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.890436777907998, "params": [0.0024000000000000002, 0.002, 0.0026000000000000003, 0.0081, 1.6017000000000001, 0.006200000000000001, 0.0025, 0.006500000000000001, 0.0027, 0.0076, 0.0027, 0.007200000000000001, 0.009600000000000001, 0.0058000000000000005, 0.0063, 0.005200000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 6 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0024) q[0];
rz(0.002) q[0];
rx(0.0026) q[1];
rz(0.0081) q[1];
rx(1.6017) q[2];
rz(0.0062) q[2];
rx(0.0025) q[3];
rz(0.0065) q[3];
rx(0.0027) q[4];
rz(0.0076) q[4];
rx(0.0027) q[5];
rz(0.0072) q[5];
crz(0.0096) q[5], q[0];
crz(0.0017) q[4], q[5];
crz(0.004... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.0853445290522351, "params": [[-0.0413, -0.043000000000000003, 0.023200000000000002], [0.049, 0.056600000000000004, 0.0089]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06973794603284128, 0.06973794603284128], "optimization_time": 1.6497... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0413) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0413) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0413) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0413) q[1];
cx q[3], q[1];
rz(0.0413) q[0];
rz(0.0413) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 226.22908186912537} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5708) q[4];
ry(1.5708) q[2];
cry(1.5681) q[7], q[3];
cry(1.5486) q[2], q[5];
cry(1.4449) q[4], q[1];
cry(-1.568) q[4], q[0];
cry(1.0457) q[3], q[7];
cry(1.4397) q[2], q[6];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
e4cdc6bcf94181f6f6aa6dc310dcdb0a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 8, "source... | {"states": [252, 220], "expectation_value": -56.79119929215127, "params": [0.1656, -0.101, 0.16720000000000002, -0.1061, 0.3912, 0.0618, 0.3957, 0.0041, 0.3909, 0.0531, 0.39330000000000004, 0.022500000000000003, 0.1983, -0.08950000000000001, 0.1938, -0.0955, 0.39430000000000004, 0.0758, 0.39740000000000003, 0.0212, 0.3... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 16.0 * Z(2) + 4.0 * Z(0) + 14.0 * Z(1) + 10.0 * Z(4) + 9... | 5 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1656) q[0];
rz(-0.101) q[0];
rx(0.3912) q[1];
rz(0.0618) q[1];
rx(0.3909) q[2];
rz(0.0531) q[2];
rx(0.1983) q[3];
rz(-0.0895) q[3];
rx(0.3943) q[4];
rz(0.0758) q[4];
rx(0.3951) q[5];
rz(0.0623) q[5];
rx(0.2536) q[6];
rz(-0.0433) q[6];
rx(0.1777) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284812, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 102.56871914863586} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[3];
cry(1.5708) q[3], q[5];
cry(1.5708) q[5], q[4];
cry(1.5681) q[4], q[2];
cry(1.5706) q[5], q[1];
cry(1.4449) q[4], q[6];
cry(-1.0342) q[3], q[0];
cry(1.4138) q[5], q[7];
ry(-0.5046... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
f975feb577a84d57f4556f4e8a37e959 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [96, 4064], "expectation_value": -25.621511385188676, "params": [[[-0.0027, 0.0079], [-0.0025, 0.0032], [-0.0027, 0.0088], [-0.0024000000000000002, 0.0086], [1.4766000000000001, 0.0041], [0.2938, 0.0082], [1.7079, 0.005], [0.0018000000000000002, 0.009000000000000001], [-0.0029000000000000002, 0.001], [0.003,... | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2... | 2 | 12 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0027) q[0];
rz(0.0079) q[0];
rx(-0.0025) q[1];
rz(0.0032) q[1];
rx(-0.0027) q[2];
rz(0.0088) q[2];
rx(-0.0024) q[3];
rz(0.0086) q[3];
rx(1.4766) q[4];
rz(0.0041) q[4];
rx(0.2938) q[5];
rz(0.0082) q[5];
rx(1.7079) q[6];
rz(0.005) q[6];
rx(0.0018) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 66.47167587280273} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | 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(62.9199) q[5];
ry(4.2103) q[4];
cry(2.4382) q[7], q[5];
ry(0.3263) q[3];
cry(1.2445) q[6], q[3];
cry(-3.31) q[3], q[4];
ry(1.2782) q[7];
cry(0.6619) q[6], q[4];
ry(-1.5681) q[1];
ry(-1.5486) q[... | null | {"source": 0, "sink": 3} | {"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(62.9199) 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... |
2749047177741992869 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 4, 6], [8, 2, 3, 7], [9, 5], [4, 5], [0, 11], [0, 1, 10, 7], [2, 11, 5, 7], [0, 2, 6, 7, 8], [2, 11, 6], [1, 5, 6, 8, 11], [1, 2, 3, 4, 8], [0, 6, 7, 8, 10], [1, 2, 6, 9], [0, 9, 4], [1, 3, 6, 7], [1, 3, 8, 10, 11], [1, 11, 9, 6], [2, 4, 6, 7, 9],... | {"states": [191, 447], "expectation_value": -6.750280916083273, "params": [-0.0024000000000000002, -0.0024000000000000002, 0.0023, 0.0023, 3.1392, 3.1388000000000003, -0.9236000000000001, 0.9239, 1.6085, 1.5283, -0.0025, -0.0025, 1.5705, 1.5756000000000001, 1.5659, 1.5707, 1.5692000000000002, 1.5669000000000002, 1.5772... | 0.35 * (Z(1) @ Z(10)) + 0.25 * (Z(4) @ Z(10)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(10)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(10)) + 0.39999999999999997 * (Z(8) @ Z(1)) + 0.3 * (Z(8) @ Z(4)) + 0.2 * (Z(8) @ Z(6)) +... | 13 | 12 | 1 | {"smallest_eigenvalues": [-6.766666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.7333333333333325, "smallest_bitstrings": ["111001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0024) q[0];
ry(0.0023) q[1];
ry(3.1392) q[2];
ry(-0.9236) q[3];
ry(1.6085) q[4];
ry(-0.0025) q[5];
ry(1.5705) q[6];
ry(1.5659) q[7];
ry(1.5692) q[8];
ry(1.5772) q[9];
ry(1.601) q[10];
ry(1.5898) q[11];
crz(-0.0021) q[11], q[0];
crz(0.0021) q[10], q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7213bcdac492d012065ef417f31c81b5 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 186.32098007202148} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(3.0513) q[6];
ry(0.0779) q[1];
ry(5.229) q[5];
ry(20.2391) q[3];
cry(12.6506) q[3], q[6];
cry(21.6605) q[3], q[1];
cry(-13.8669) q[1], q[6];
ry(1.2595) q[2];
cry(10.0669) q[2], q[6];
cr... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
8abcecb9be692ba9d31a27398366ffa4 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -2.361614650798741, "params": [[-0.057100000000000005, -0.0621, -0.054, -0.028300000000000002], [0.0708, 0.0753, 0.0723, 0.059300000000000005]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030794072112723267, 0.03924218926795632], "o... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.0286) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0571) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0571) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0571) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [18, 28], "expectation_value": -0.05601476511159269, "params": [[0.0519], [-0.042]], "bitstrings": ["101101", "100011"], "total_optimization_steps": 10, "probabilities": [0.01617365173510519, 0.0164494890796792], "optimization_time": 1.4677636623382568} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0519) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0519) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0519) q[5];
cx q[1], q[5];
cx q[2], q[4];
rz(0.0519) q[4];
cx q[2], q[4];
cx q[5], q[4];
rz(0.0519... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx ... | 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": -0.7323125294422616, "params": [[0.07640000000000001], [-0.08360000000000001]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.010209431629677697, 0.010327705939649571], "optimization_time": 2.957512855529785} | -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 | 1 | {"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(-0.0382) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.1146) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0382) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0.0382) 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] 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": []} |
a600d047aa28c30c441e2aa233739b7a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [108, 92], "expectation_value": -5.999128330009992, "params": null, "bitstrings": ["0010011", "0100011"], "total_optimization_steps": 36, "probabilities": [0.0655282774722971, 0.9338520119778738], "optimization_time": 33.84220337867737} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5708) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[0];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f6b40868ad1271b984ef2a6d0bdb0733 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -25.054306291032336, "params": [[[0.0024000000000000002, 0.0049], [0.0024000000000000002, 0.00030000000000000003], [0.0023, 0.008700000000000001], [-1.6257000000000001, 0.0088], [0.0023, 0.0024000000000000002], [-0.0024000000000000002, 0.0051], [0.0023, 0.0004], [0.0022, 0.00... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(4)) + 0.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["1111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0024) q[0];
rz(0.0049) q[0];
rx(0.0024) q[1];
rz(0.0003) q[1];
rx(0.0023) q[2];
rz(0.0087) q[2];
rx(-1.6257) q[3];
rz(0.0088) q[3];
rx(0.0023) q[4];
rz(0.0024) q[4];
rx(-0.0024) q[5];
rz(0.0051) q[5];
rx(0.0023) q[6];
rz(0.0004) q[6];
rx(0.0022) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 3} | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -2.3051416497308965, "params": [[-0.054, -0.050300000000000004, -0.058300000000000005, -0.055], [0.0609, 0.059300000000000005, 0.0634, 0.0603]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.024183155914363492, 0.02653115869167566], "... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.027) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.081) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.081) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.081) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-7019049748300278391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[5, 7], [9, 2, 1], [9, 10, 6], [9, 10, 3], [0, 11, 5], [11, 13], [0, 13], [4, 12, 13], [11, 2, 3], [5, 6], [9, 12], [2, 12, 6], [1, 4, 13], [9, 3, 5], [8, 10], [11, 12, 7], [2, 13, 5], [9, 10, 5], [9, 10, 4], [8, 13], [8, 2], [9, 2, 5], [8, 11], [... | {"states": [7951, 7439], "expectation_value": -10.01221513863093, "params": [-0.0028, -0.0028, 1.5639, 1.5738, 1.566, 1.5710000000000002, 1.5741, 1.5721, 2.3669000000000002, 2.4213, 1.5736, 1.5727, -0.0025, -0.0025, -0.0026000000000000003, -0.0026000000000000003, -0.0023, -0.0023, 0.0022, 0.0023, -1.5893000000000002, -... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(10) @ Z(5)) + 0.6666666666666666 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10)... | 13 | 14 | 1 | {"smallest_eigenvalues": [-10.166666666666536], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.166666666666512, "smallest_bitstrings": ["10001011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0028) q[0];
ry(1.5639) q[1];
ry(1.566) q[2];
ry(1.5741) q[3];
ry(2.3669) q[4];
ry(1.5736) q[5];
ry(-0.0025) q[6];
ry(-0.0026) q[7];
ry(-0.0023) q[8];
ry(0.0022) q[9];
ry(-1.5893) q[10];
ry(1.5396) q[11];
ry(1.5899) q[12];
ry(1.5723) q[13];
crz(-0.0019)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
478b0d0e79aaa383d09e0a7385a1b956 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [127, 31], "expectation_value": -0.07501908787606815, "params": [[0.0171], [-0.0204]], "bitstrings": ["0000000", "1100000"], "total_optimization_steps": 10, "probabilities": [0.00805731753855151, 0.008057317538551512], "optimization_time": 1.351069450378418} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000", "1100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[1];
rz(-0.0513) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.0684) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(-0.0855) q[3];
cx q[5], q[3];
cx q[2], q[3];
rz(0.0171) q[3];
cx q[2], q[3];
cx q[5], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(x1)... | {"node": 0} | {"circuits": [], "gradients": []} |
bd4d5e09460e489b3a7687d2fb06fc0c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [56, 24], "expectation_value": -2.756825456460957, "params": [[[0.40490000000000004, -0.0429, 0.0011, 0.0056], [0.39640000000000003, 0.1423, 0.4043, -0.0635], [0.39730000000000004, 0.0477, 0.4063, 0.1275], [-0.1918, 0.0694, 0.2446, 0.01], [0.0019, -0.0442, -0.0063, 0.07640000000000001], [0.001700000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) | 11 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["100111", "011011", "010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.4049) q[0];
rz(-0.0429) q[0];
ry(0.3964) q[1];
rz(0.1423) q[1];
ry(0.3973) q[2];
rz(0.0477) q[2];
ry(-0.1918) q[3];
rz(0.0694) q[3];
ry(0.0019) q[4];
rz(-0.0442) q[4];
ry(0.0017) q[5];
rz(-0.2) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(0.4043)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
901818354894385254 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [2, 6], [0, 5], [1, 2], [3, 6]]} | {"states": [88, 30], "expectation_value": -2.219138854975561, "params": null, "bitstrings": ["0100111", "1100001"], "total_optimization_steps": 51, "probabilities": [0.05206360526272468, 0.7254807705063921], "optimization_time": 40.461742639541626} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011110", "0100111", "1011000", "1100001"]} | 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[3], q[6];
cry(-1.0342) q[5], q[0];
cry(-1.0342) q[2], q[1];
ry(1.0293) q[2];
ry(-0.6992) q[1];
ry(0.7003) q[3];
cry(-0.795) q[2], q[6];
cry(0.668) q[2], q[3];
cry(0.3724) q[3], q[2];
ry(0.7... | 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[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
8739156162433753281 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3, 5, 7, 9, 11], [1, 2, 4, 5, 7, 10], [1, 3, 9, 7], [1, 4, 6, 7, 11], [1, 2, 6, 8, 9], [4, 5, 6, 7, 11], [8, 9, 11, 7], [0, 1, 3, 4, 7, 10], [2, 12, 5], [0, 2, 3, 4, 8, 11], [0, 4, 5, 6], [0, 1, 6, 8, 9, 12], [9, 10, 2, 5], [3, 4, 7, 9, 10, 12], [... | {"states": [3822, 3830], "expectation_value": -4.882446297082445, "params": [0.002, 1.2199, 0.002, 0.004200000000000001, 1.7683, 0.024, 1.0572000000000001, -0.0637, 1.5674000000000001, 0.0027, 1.5687, 0.006900000000000001, 1.5828, 0.0029000000000000002, 1.5648, 0.6642, 0.0026000000000000003, 1.4420000000000002, 0.0025,... | 0.1 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.35 * (Z(7) @ Z(3)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.16666666666666669 * (Z(7) @ Z(5)) + 0.15 * (Z(9) @ Z(3)) + 0.06666666666666667 * (Z(9) @ Z(0)) + 0.2833333333333333 * (Z(9) @ Z(5)) + 0.23333333333333334 * (Z(... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.983333333333333, "smallest_bitstrings": ["1000100001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.002) q[0];
rz(1.2199) q[0];
rx(1.7683) q[1];
rz(0.024) q[1];
rx(1.5674) q[2];
rz(0.0027) q[2];
rx(1.5828) q[3];
rz(0.0029) q[3];
rx(0.0026) q[4];
rz(1.442) q[4];
rx(1.4595) q[5];
rz(0.0148) q[5];
rx(1.5746) q[6];
rz(-0.002) q[6];
rx(1.5711) 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": []} |
e4f5057259aaeddd1dd7f4f1ea49da8b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -12.782237837651659, "params": [0.0028, 0.25930000000000003, 0.603, 0.10200000000000001, 0.0023, -0.5904, 0.0026000000000000003, 0.5769000000000001, 0.0068000000000000005, -0.0167, 0.0028, 0.6043000000000001, 0.0026000000000000003, 0.6019, 0.8078000000000001, 0.003900000000000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 3 | 8 | 2 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.2593) q[0];
rx(0.603) q[1];
rz(0.102) q[1];
rx(0.0023) q[2];
rz(-0.5904) q[2];
rx(0.0026) q[3];
rz(0.5769) q[3];
rx(0.0068) q[4];
rz(-0.0167) q[4];
rx(0.0028) q[5];
rz(0.6043) q[5];
rx(0.0026) q[6];
rz(0.6019) q[6];
rx(0.8078) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 9], "expectation_value": -0.007363335345535911, "params": [[0.027800000000000002, -0.012700000000000001], [-0.027200000000000002, 0.0013000000000000002]], "bitstrings": ["10010", "10110"], "total_optimization_steps": 10, "probabilities": [0.03157189629781975, 0.03157377643849901], "optimization_time": 2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | 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(0.0278) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0278) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.007) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.007) q[3];
cx q[1], q[3];
cx q[4], q[1];
rz(0.007) q[1];
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] 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
b99d01e343a9618170192b83f850e849 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [45, 44], "expectation_value": -3.130374675927968, "params": [[[-0.0177, 0.31820000000000004], [0.0066, -0.28500000000000003], [0.5653, 0.0017000000000000001], [0.49860000000000004, -0.0639], [0.5294, -0.0368], [0.6092000000000001, 0.0018000000000000002], [-0.0183, 0.31020000000000003], [0.5192, -0.0374]], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(6) + -1.0 * Z(7) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100011", "11101001", "11101010", "01101011", "10011110", "10010111", "11010011", "11011010", "11011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0177) q[0];
rz(0.3182) q[0];
rx(0.0066) q[1];
rz(-0.285) q[1];
rx(0.5653) q[2];
rz(0.0017) q[2];
rx(0.4986) q[3];
rz(-0.0639) q[3];
rx(0.5294) q[4];
rz(-0.0368) q[4];
rx(0.6092) q[5];
rz(0.0018) q[5];
rx(-0.0183) q[6];
rz(0.3102) q[6];
rx(0.5192) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -0.8820865327479095, "params": [[0.0721, 0.0713], [-0.0765, -0.0703]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.008105182320070774, 0.008598163563201058], "optimization_time": 3.7905852794647217} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0721) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0721) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0721) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0721) q[6];
cx q[0], 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 16.03227686882019} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "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(-1.5708) q[0];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[2];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
18152715fcfad636f12a77c42b8c9992 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 7}, {"source": ... | {"states": [0, 1023], "expectation_value": -29.63322609513021, "params": [[[0.0023, 1.6042], [0.0016, 0.0019], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.0018000000000000002], [-0.0033, 0.0024000000000000002], [0.0019, 0.0024000000000000002], [0.0023, 0.002], [0.003, 0.0024000000000000002... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + -3.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(3)) + -3.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + -3.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(4) @ Z(9)) + -3.5 * (Z(5) @ Z(6)) + 1.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0023) q[0];
ry(0.0016) q[1];
ry(0.0021) q[2];
ry(0.0021) q[3];
ry(-0.0033) q[4];
ry(0.0019) q[5];
ry(0.0023) q[6];
ry(0.003) q[7];
ry(0.0027) q[8];
ry(0.0023) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 1} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 6.445129871368408} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | 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(-1.5158) q[3], q[0];
ry(1.048) q[3];
ry(1.4882) q[2];
ry(-0.3463) q[0];
cry(0.3109) q[2], q[3];
cry(-0.2854) q[2], q[0];
cry(0.139) q[1], q[3];
cry(0.0779) q[1], q[2];
cry(-0.0843) q[1], q[0];
cry(-0.0393) q[0], q[3];
c[0] =... | null | {"source": 0, "sink": 3} | {"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(-1.5158) q[3], q[0];\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... |
4685308727068047540 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [3, 5], [2, 5], [5, 6], [0, 4], [3, 4], [0, 6], [0, 1], [1, 5]]} | {"states": [88, 57], "expectation_value": -3.1880863932072003, "params": null, "bitstrings": ["0100111", "1000110"], "total_optimization_steps": 50, "probabilities": [0.043112664288190994, 0.8181238792286244], "optimization_time": 57.5758581161499} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110", "0111001"]} | 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[3], q[5];
cry(-1.0342) q[6], q[0];
ry(1.0293) q[6];
cry(1.4052) q[6], q[1];
cry(-0.9035) q[1], q[0];
cry(-0.7688) q[6], q[5];
ry(1.2466) q[3];
cry(1.3682) q[3], q[2];
cry(-1.4692) q[3], q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], 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... |
e9d9b91bfd2b1be4702d219d04bf78f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [99, 127], "expectation_value": -13.36968527253166, "params": [0.0018000000000000002, 2.4948, 0.0041, 0.009600000000000001, 0.0029000000000000002, 2.4775, 0.0029000000000000002, 0.10060000000000001, 0.0031000000000000003, 2.4004000000000003, 0.0028, 0.0081, 0.202, 0.9323, 0.3286, -0.3619, 1.568, -0.002, 1.56... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + 1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) | 8 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0018) q[0];
rz(2.4948) q[0];
rx(0.0029) q[1];
rz(2.4775) q[1];
rx(0.0031) q[2];
rz(2.4004) q[2];
rx(0.202) q[3];
rz(0.9323) q[3];
rx(1.568) q[4];
rz(-0.002) q[4];
rx(0.0024) q[5];
rz(1.4536) q[5];
rx(-0.5396) q[6];
rz(2.477) q[6];
rx(1.314) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
bf001351f2bf5e55c043b36bf1cfc0ff | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [227, 115], "expectation_value": -46.27746843904176, "params": [[-0.028800000000000003, 0.0741, 0.0339], [0.17950000000000002, -0.22970000000000002, -0.22110000000000002]], "bitstrings": ["00011100", "10001100"], "total_optimization_steps": 30, "probabilities": [0.06713196860873932, 0.07377346120318079], "op... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"]} | 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(-0.2304) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2304) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2304) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f619afa25c1921f996d128a1dfefef72 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [10, 8], "expectation_value": -2.2592893673608203, "params": [-0.0028, 0.654, 0.8550000000000001, 0.0033, 0.0023, 0.6726000000000001, 0.7243, -0.0379, 0.002, -0.0005, -0.0028, 0.0057, 0.8634000000000001, 0.0051, 0.0023, 0.0092, 0.7204, 0.0028, -0.0067, 0.008400000000000001, 0.0177, -0.6322, 0.004500000000000... | 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(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0028) q[0];
rz(0.654) q[0];
rx(0.855) q[1];
rz(0.0033) q[1];
rx(0.0023) q[2];
rz(0.6726) q[2];
rx(0.7243) q[3];
rz(-0.0379) q[3];
rx(0.002) q[4];
rz(-0.0005) q[4];
crz(0.0177) q[4], q[0];
crz(0.0492) q[3], q[4];
crz(-0.6587) q[2], q[3];
crz(0.0045) q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 298.80244541168213} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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];
ry(1.5708) q[11];
ry(1.5708) q[10];
ry(1.5708) q[6];
cry(-1.5592) q[10], q[1];
cry(1.4449) q[4], q[9];
cry(1.5482) q[6], q[3];
cry(-1.4449) q[10], q[0];
cry(-1.... | null | {"source": 0, "sink": 5} | {"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];\nry(1.5708) q[11];\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];... |
7611023331787475372 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [0, 1], [2, 3], [2, 5]]} | {"states": [37, 42], "expectation_value": -0.01846428458041105, "params": [[0.0523], [-0.0444]], "bitstrings": ["011010", "010101"], "total_optimization_steps": 10, "probabilities": [0.016208028328380204, 0.016208028328380204], "optimization_time": 0.8192477226257324} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101010", "010101", "100101", "011010"]} | 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[3];
rz(0.0523) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(0.0523) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0523) q[2];
cx q[3], q[2];
cx q[2], q[5];
rz(0.0523) q[5];
cx q[2], q[5];
rz(0) q[4];
rz(0) q[3];
... | 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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
6abfcea40fcfb2aee6e60541a981751a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 44.09162712097168} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.4449) q[6], q[1];
cry(-1.0342) q[7], q[0];
ry(1.0342) q[4];
ry(1.0342) q[3];
cry(0.9791) q[1], q[6];
cry(0.9021) q[6], q[7];
ry(-0.7014) q[0];
ry(-1.0342) q[5];
cry(0.4645) q[6], q[4];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.4449) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [95, 93], "expectation_value": -29.474690967098205, "params": [[0.027100000000000003, 0.0061, -0.0054, -0.0103], [-0.0813, -0.08310000000000001, -0.0727, -0.0614]], "bitstrings": ["10100000", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01668524560467026, 0.02170019484612866], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2168) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2168) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.2168) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.2168) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | adaptive_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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 21.59326148033142} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (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)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8051) q[3];
ry(-0.3504) q[2];
ry(-0.3105) q[1];
cry(0.3649) q[3], q[4];
cry(-0.2282) q[3], q[2];
cry(0.3307) q[4], q[3];
cry(-0.24... | null | {"k": 3} | {"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(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
6a1b5b157fa0265e3d4e76f33dc572f1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [341, 345], "expectation_value": -74.49412848496415, "params": [1.5738, 1.5737, 0.1748, -0.1022, 1.6585, 1.4895, 0.111, -0.09230000000000001, 1.5994000000000002, 1.5463, 0.9042, 0.932, 2.0539, 1.1122, -0.0009000000000000001, 0.0018000000000000002, 1.5702, 1.5774000000000001, 1.4711, 0.0077, -0.0011, 0.7397, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 8.0 * Z(0) + 2.0 * Z(1) + 22.5 * Z(2) + 15.5 * Z(4) + -3.5 * Z(3) + 11.5 * Z(6) + 2.5 * Z(5) + 1.0 * Z(8) + -6.0 * Z(7) | 14 | 9 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5738) q[0];
ry(0.1748) q[1];
ry(1.6585) q[2];
ry(0.111) q[3];
ry(1.5994) q[4];
ry(0.9042) q[5];
ry(2.0539) q[6];
ry(-0.0009) q[7];
ry(1.5702) q[8];
crx(1.4711) q[8], q[0];
crx(-1.3841) q[7], q[8];
crx(-0.0014) q[6], q[7];
crx(0.5845) q[5], q[6];
crx(0.114... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 75.83495020866394} | 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)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 13 | 6 | 3 | {"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];
cry(-1.5708) q[3], q[2];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.8231) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8108) q[4];
ry(-0.4168) q[2];
ry(-0.3308) q[1];
cry(-0.3226) q[5], q[0];
cry(0.3922) q[5], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
ff4d8612be902cee01cbb69055101657 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 16.54806423187256} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "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[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[3];
ry(0.6944) q[1];
ry(-0.451) q[3];
cry(0.4963) q[2], q[1];
cry(-0.3778) q[2], q[3];
cry(0.2518) q[0], q[1];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 213.39971947669983} | 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)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "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(-0.197) q[0];
ry(-0.3559) q[2];
ry(-0.2317) q[1];
ry(-0.5045) q[3];
cry(-1.2391) q[5], q[0];
cry(-1.2069) q[7], q[2];
cry(-1.066) q[6], q[3];
cry(-1.3391) q[4], q[1];
ry(1.0455) q[5];
cry(-0.60... | 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(-0.197) 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[... |
a296bf4a8467a546a89302f84310fa30 | 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": 5, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 4, "source": 2, "target": 3}, {"weight": 20, "source": 3, "targ... | {"states": [442, 186], "expectation_value": -14.25533490498436, "params": [[0.0188, -0.006500000000000001, -0.0424], [-0.031100000000000003, -0.011000000000000001, 0.053500000000000006]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.003814667793643936, 0.0045260105125130... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101000101"]} | 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(0.1692) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.1692) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1692) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1692) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -12.591948714203852, "params": [[-0.0392], [0.0792]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0073469926648890805, 0.008307313089529532], "optimization_time": 2.146275281906128} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2744) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2744) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2744) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2744) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
6697546239503012823 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 2, 3, 4, 5, 6], [0, 2, 3, 5, 6, 7], [0, 1, 6]]} | {"states": [246, 244], "expectation_value": -0.8646549015503033, "params": [[[2.7949, 0.0047], [2.2089000000000003, 0.0018000000000000002], [2.793, 0.0074], [2.7947, 0.0063], [0.5887, 0.009600000000000001], [2.7861000000000002, 0.0061], [1.5527, 0.0054], [1.4192, 0.0063]]], "bitstrings": ["00001001", "00001011"], "tota... | 0.5 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["00001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.7949) q[0];
rz(0.0047) q[0];
rx(2.2089) q[1];
rz(0.0018) q[1];
rx(2.793) q[2];
rz(0.0074) q[2];
rx(2.7947) q[3];
rz(0.0063) q[3];
rx(0.5887) q[4];
rz(0.0096) q[4];
rx(2.7861) q[5];
rz(0.0061) q[5];
rx(1.5527) q[6];
rz(0.0054) q[6];
rx(1.4192) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [122, 118], "expectation_value": -8.639989589750938, "params": [[-0.049], [0.0637]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006858015108484852, 0.007507163623137218], "optimization_time": 1.8098878860473633} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.392) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.392) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.392) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.392) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[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];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.24308157785130294, "params": [[-0.2723], [0.2773]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.856591227111031e-05, 3.856591227111031e-05], "optimization_time": 23.993890047073364} | 0.25 * (Z(0) @ Z(1)) + 0.000375 * (Z(2) @ Z(0)) + 0.000375 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999643], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999235, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.1361) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q... | 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 190.25336527824402} | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[1];
ry(-0.8504) q[2];
ry(-34.9236) q[4];
ry(62.9378) q[5];
ry(63.093) q[3];
ry(-2.6361) q[6];
cry(-11.8422) q[4], q[1];
ry(10.8316) q[7];
cry(11.8064) q[4], q[2];
cry(10.5078) q[4], q... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [142, 15], "expectation_value": -12.540726501436982, "params": null, "bitstrings": ["01110001", "11110000"], "total_optimization_steps": 59, "probabilities": [0.15680630545508087, 0.7790726482613731], "optimization_time": 54.16449975967407} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[2];
cry(-1.5708) q[7], q[0];
ry(1.1031) q[7];
ry(-1.5708) q[1];
ry(-0.5365) q[0];
ry(-1.5708) q[3];
ry(1.5706) q[5];
cry(1.5705) q[5], q[6];
cry(0.2939) q[5], q[7];
cry(1.5707) q[5],... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
0609beb0244f504071355435b704f83a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -18.56832293401186, "params": [[0.025400000000000002], [-0.07390000000000001]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.003462850924333095, 0.003939379363402114], "optimization_time": 4.399767875671387} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2286) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.2286) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.2286) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(0.2286) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
1a9ed9a666e19120fea8169482f67ae7 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.026400945763348657, "params": [[0.0794], [-0.0847]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.696577463790151e-05, 1.6965774637901527e-05], "optimization_time": 13.678925275802612} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00046296296296296303 * (Z(4) @ Z(0)) + -0.0007716049382716049 * (Z(4) @ Z(2)) + -0.00046296296296296303 * (Z(5) @ Z(1)) + -0.0007716049382716049 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021913580246886], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0219135802468418, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0397) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d570f88b03391174f5c4fdc37798fafa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1495, 1367], "expectation_value": -1.0398121767706288, "params": [[[1.7913000000000001, 0.005200000000000001], [0.762, 0.0016], [1.8936000000000002, 0.0032], [1.5014, 0.0049], [1.905, 0.0082], [0.7312000000000001, 0.0013000000000000002], [1.8182, 0.0057], [0.6947, 0.007], [1.9106, 0.003], [1.907800000000000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100010100", "10010011000", "01010101000", "01100100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.7913) q[0];
rz(0.0052) q[0];
rx(0.762) q[1];
rz(0.0016) q[1];
rx(1.8936) q[2];
rz(0.0032) q[2];
rx(1.5014) q[3];
rz(0.0049) q[3];
rx(1.905) q[4];
rz(0.0082) q[4];
rx(0.7312) q[5];
rz(0.0013) q[5];
rx(1.8182) q[6];
rz(0.0057) q[6];
rx(0.6947) 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": []} |
0567194fff7fc326e4c852c46d67da63 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [488, 233], "expectation_value": -66.0001225428549, "params": [[[0.0514, 0.7659], [1.4004, 0.381], [1.2687000000000002, 0.1938], [1.3945, 0.2587], [-0.3473, 0.1379], [1.1086, 0.4499], [-0.0031000000000000003, 1.0863], [0.1736, 1.3964], [0.2978, 0.056400000000000006]], [[1.1489, -0.0066], [1.3993, 0.001], [1.... | 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 23.0 * Z(2) + 22.5 * Z(3) + 11.5 * Z(0) + 23.5 * Z(1) + 8.5 * Z(5) + -5.0 * Z(... | 15 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0514) q[0];
ry(1.4004) q[1];
ry(1.2687) q[2];
ry(1.3945) q[3];
ry(-0.3473) q[4];
ry(1.1086) q[5];
ry(-0.0031) q[6];
ry(0.1736) q[7];
ry(0.2978) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
5f0d472ec5410cdf4159a3a34819a3f9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [511, 383], "expectation_value": -19.06479095074889, "params": [[[-0.018500000000000003, -0.0024000000000000002], [0.0078000000000000005, -0.0027], [-0.5567, -0.003], [-0.1375, 0.0033], [-0.0004, -0.0019], [-0.0194, -0.002], [-0.0051, 0.002], [0.0033, -0.002], [1.5893000000000002, -0.022000000000000002], [-0... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0185) q[0];
ry(0.0078) q[1];
ry(-0.5567) q[2];
ry(-0.1375) q[3];
ry(-0.0004) q[4];
ry(-0.0194) q[5];
ry(-0.0051) q[6];
ry(0.0033) q[7];
ry(1.5893) q[8];
ry(-0.0236) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -0.48826675925627344, "params": [[-0.034800000000000005, -0.039, -0.0704], [0.0375, 0.033600000000000005, 0.0635]], "bitstrings": ["110100", "111000"], "total_optimization_steps": 10, "probabilities": [0.019956917114317105, 0.019956917114317123], "optimization_time": 3.365660905... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "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(-0.0348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0348) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0348) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0348) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [19, 3], "expectation_value": -3.0290507243943345, "params": [[[0.7794000000000001, -0.0033], [0.38930000000000003, -0.1963], [0.3936, -0.196], [0.7886000000000001, 0.0037], [0.795, -0.0037]], [[0.7836000000000001, 0.0068000000000000005], [0.3902, 0.0044], [0.3961, 0.0006000000000000001], [0.7951, 0.0067], [... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.7794) q[0];
rz(-0.0033) q[0];
rx(0.3893) q[1];
rz(-0.1963) q[1];
rx(0.3936) q[2];
rz(-0.196) q[2];
rx(0.7886) q[3];
rz(0.0037) q[3];
rx(0.795) q[4];
rz(-0.0037) q[4];
rx(0.7836) q[0];
rz(0.0068) q[0];
rx(0.3902) q[1];
rz(0.0044) q[1];
rx(0.3961) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
24ad81747c6bd1903cd58d045c41656e | 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": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -12.799579956959565, "params": [[0.0441, 0.016800000000000002], [-0.0629, -0.040400000000000005]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005782698274115903, 0.006118138148161327], "optimization_time": 3.3229289054870605} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.3969) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3969) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.3969) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(0.3969) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -13.04505281153735, "params": [[-0.0284], [0.0634]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.0033482661136969185, 0.0036391961689614294], "optimization_time": 2.419266939163208} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2556) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2556) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2556) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-6486720588982531779 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]} | {"states": [0, 176], "expectation_value": -0.03083631051388764, "params": [0.6024, -0.0022, 0.6002000000000001, 0.0095, 0.6026, 0.0118, 0.5948, 0.0023, 0.6061000000000001, 0.0012000000000000001, 0.6065, 0.0047, 0.6003000000000001, 0.0011, 0.6011000000000001, 0.0039000000000000003, 0.6013000000000001, -0.006200000000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110000", "11001110", "01001111", "00110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6024) q[0];
rz(-0.0022) q[0];
rx(0.6026) q[1];
rz(0.0118) q[1];
rx(0.6061) q[2];
rz(0.0012) q[2];
rx(0.6003) q[3];
rz(0.0011) q[3];
rx(0.6013) q[4];
rz(-0.0062) q[4];
rx(0.6057) q[5];
rz(-0.0052) q[5];
rx(0.6002) q[6];
rz(-0.0068) q[6];
rx(0.606) 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": []} |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [41, 44], "expectation_value": -5.499937482943579, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 28, "probabilities": [1.6356545604728183e-05, 0.9999687420766158], "optimization_time": 29.834757328033447} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["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[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[2], q[0];
cry(0.1216) q[0], q[3];
cry(0.1186) q[3], q[2];
cry(-0.000... | 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... |
b053b64e8805e88821b68a2e72ca44e5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1192, 1193], "expectation_value": -90.91598714913601, "params": [1.4056, 0.022500000000000003, 0.6703, 0.5873, 0.3053, 0.8011, 1.4073, 0.4575, 0.3201, 0.8648, 1.4071, 0.4455, 0.45330000000000004, 0.8178000000000001, 1.3979000000000001, 0.37020000000000003, 0.0024000000000000002, 1.0073, 0.0027, -0.9876, 0.8... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(7)) + 6.0 * Z(0) + 10.5 * Z(1) + 1.0 * Z(2) + 5.5 * Z(3) + 1.0 * Z(4) + 7.0 * Z(5) + 3.5 * Z(6) + 14.5 *... | 16 | 11 | 2 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4056) q[0];
rz(0.0225) q[0];
rx(0.6703) q[1];
rz(0.5873) q[1];
rx(0.3053) q[2];
rz(0.8011) q[2];
rx(1.4073) q[3];
rz(0.4575) q[3];
rx(0.3201) q[4];
rz(0.8648) q[4];
rx(1.4071) q[5];
rz(0.4455) q[5];
rx(0.4533) q[6];
rz(0.8178) q[6];
rx(1.3979) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
191f1083ef0517287337898d8066b77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -20.386390887404904, "params": [-0.7168, -0.0027, 0.7216, 0.006500000000000001, -0.021, -0.005, 0.0155, 0.0063, -0.13920000000000002, 0.1993, 0.117, 0.0034000000000000002, 0.8057000000000001, 0.0043, 0.8112, 0.0097, -0.0102, 0.09380000000000001, 0.0112, 0.0082, 0.0443, 0.1395, ... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(7)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(1) @ Z(10)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.7168) q[0];
rz(-0.0027) q[0];
rx(-0.021) q[1];
rz(-0.005) q[1];
rx(-0.1392) q[2];
rz(0.1993) q[2];
rx(0.8057) q[3];
rz(0.0043) q[3];
rx(-0.0102) q[4];
rz(0.0938) q[4];
rx(0.0443) q[5];
rz(0.1395) q[5];
rx(0.002) q[6];
rz(0.6097) q[6];
rx(0.0018) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
4152612544181855150 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [0, 3], [1, 7], [8, 2], [4, 5], [1, 6]]} | {"states": [0, 55], "expectation_value": 0.09853824266488154, "params": [0.5971000000000001, -0.0032, 0.5998, 0.0032, 0.5941000000000001, 0.0035, 0.5901000000000001, 0.0026000000000000003, 0.6049, -0.0103, 0.6002000000000001, 0.0077, 0.6106, 0.0029000000000000002, 0.6096, 0.009000000000000001, 0.6054, 0.0033, 0.5977, 0... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["111001000", "010101001", "101001110", "000101111", "010110001", "000110111", "111010000", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5971) q[0];
rz(-0.0032) q[0];
rx(0.5941) q[1];
rz(0.0035) q[1];
rx(0.6049) q[2];
rz(-0.0103) q[2];
rx(0.6106) q[3];
rz(0.0029) q[3];
rx(0.6054) q[4];
rz(0.0033) q[4];
rx(0.5997) q[5];
rz(0.0073) q[5];
rx(0.6024) q[6];
rz(-0.0029) q[6];
rx(0.6074) 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": []} |
09f6e2bd7b534b363bffb5f935faaf38 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [441, 505], "expectation_value": -3.1218093954411184, "params": [[[0.003, 1.0306], [0.3869, -0.502], [1.4006, 0.0033], [0.7996000000000001, 0.09050000000000001], [0.7952, 0.0954], [1.4056, 0.0016], [1.3987, -0.0026000000000000003], [1.3983, -0.0016], [0.3891, -0.4999], [-0.0181, -0.6980000000000001], [1.4043... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(6)) + -0.125 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101000001", "11000000110", "10011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.003) q[0];
rz(1.0306) q[0];
rx(0.3869) q[1];
rz(-0.502) q[1];
rx(1.4006) q[2];
rz(0.0033) q[2];
rx(0.7996) q[3];
rz(0.0905) q[3];
rx(0.7952) q[4];
rz(0.0954) q[4];
rx(1.4056) q[5];
rz(0.0016) q[5];
rx(1.3987) q[6];
rz(-0.0026) q[6];
rx(1.3983) 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": []} |
3761320352817550044 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 4], [2, 4], [2, 3], [4, 5], [1, 6]]} | {"states": [106, 114], "expectation_value": -2.627267259627627, "params": null, "bitstrings": ["0010101", "0001101"], "total_optimization_steps": 47, "probabilities": [0.05668396857152513, 0.8064210251220347], "optimization_time": 44.868468284606934} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110010", "0001101"]} | 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[5], q[4];
cry(-1.0342) q[2], q[3];
ry(1.0293) q[2];
ry(-0.6992) q[3];
cry(-0.6534) q[1], q[4];
ry(0.9979) q[5];
cry(1.1473) q[5], q[1];
ry(-0.5076) q[4];
cry(-1.3843) q[1], q[6];
cry(1.352)... | 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[5], 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... |
8cf72b25e2d0af3364d579ef12541af8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -23.80910269794069, "params": [[[-0.0021000000000000003, -0.09140000000000001], [-0.0035, 0.0022], [-0.0041, 0.0023], [-0.0058000000000000005, -0.0021000000000000003], [-0.0076, 0.002], [-0.0006000000000000001, -0.0023], [0.0004, -0.0026000000000000003], [0.0035, -0.0029000... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(5)) + 1.25 * ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0021) q[0];
ry(-0.0035) q[1];
ry(-0.0041) q[2];
ry(-0.0058) q[3];
ry(-0.0076) q[4];
ry(-0.0006) q[5];
ry(0.0004) q[6];
ry(0.0035) q[7];
ry(0.0025) q[8];
ry(-0.0008) q[9];
ry(1.6667) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
6f6ae479a3b979411e67a85b217a71e5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 7}, {"weight": 4, "source... | {"states": [218, 217], "expectation_value": -15.982982982975289, "params": [[-0.0324, -0.0137, 0.0718], [0.0531, 0.052000000000000005, -0.039900000000000005]], "bitstrings": ["100100101", "100100110"], "total_optimization_steps": 10, "probabilities": [0.007230397461892678, 0.007597337240640607], "optimization_time": 5.... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 15.0 * Z(2) + 3.5 * Z(0) + 17.0 * Z(1) + 13.5 * Z(4) + 2.0 * Z(3) + 6.0 * Z(5)... | 1 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.324) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.324) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.324) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.324) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-8345189094226804659 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 4, 5], [1, 4, 6, 7, 8], [3, 4, 6, 7, 8], [0, 1, 5, 7, 8], [0, 1, 3, 5], [1, 3, 4], [8, 1, 3, 7], [0, 2, 5, 7, 8], [0, 1, 3, 7], [0, 2, 3, 5, 6], [1, 2, 6], [8, 1, 3, 0], [2, 3, 4, 6, 8], [0, 3, 4, 5, 7], [0, 1, 4, 7, 8], [3, 5, 6, 7, 8], [0, 1, 2], [8, 4, 5, ... | {"states": [374, 413], "expectation_value": -0.31408171525497186, "params": [[-0.0748], [0.0726]], "bitstrings": ["010001001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0021799924400029928, 0.002188160605062278], "optimization_time": 6.759919881820679} | 0.39999999999999997 * (Z(8) @ Z(3)) + 0.39999999999999997 * (Z(4) @ Z(3)) + 0.36666666666666664 * (Z(4) @ Z(8)) + 0.31666666666666665 * (Z(5) @ Z(3)) + 0.31666666666666665 * (Z(5) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.49999999999999994 * (Z(1) @ Z(3)) + 0.31666666666666665 * (Z(1) @ Z(8)) + 0.26666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.133333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.050000000000001, "smallest_bitstrings": ["001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(-0.0598) q[8];
cx q[3], q[8];
cx q[3], q[4];
rz(-0.0598) q[4];
cx q[3], q[4];
cx q[8], q[4];
rz(-0.0549) q[4];
cx q[8], q[4];
cx q[3], q[5];
rz(-0.0474) q[5];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.2772379676250665, "params": [[0.08], [-0.08220000000000001]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.01816112561846806, 0.018974913157261106], "optimization_time": 1.2258045673370361} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"]} | 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(0.08) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.08) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.08) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.08) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.08) q[5];
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;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
6eae64ea8fbb98001d5ee0d40e46d750 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 4}, {"weight": 16, "sour... | {"states": [442, 234], "expectation_value": -20.960394980605965, "params": [[0.0361, 0.009300000000000001], [-0.07640000000000001, -0.0661]], "bitstrings": ["001000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007064235347236728, 0.008175212704202524], "optimization_time": 3.384641408920288} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(1) + 10.0 * Z(0) + 18.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.361) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.361) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.361) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.361) q[3];
cx q[0], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-7909338658467892744 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 4, 5], [1, 5], [0, 2, 3, 4, 6], [5, 6], [0, 5]]} | {"states": [113, 117], "expectation_value": -1.7987155452138497, "params": null, "bitstrings": ["0001110", "0001010"], "total_optimization_steps": 48, "probabilities": [0.07475288250493496, 0.7209843450792615], "optimization_time": 59.28402233123779} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9, "smallest_bitstrings": ["0001010"]} | 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(1.2883) q[2];
cry(-1.025) q[6], q[5];
ry(0.8809) q[6];
cry(-0.7764) q[1], q[5];
cry(1.1635) q[6], q[1];
cry(1.2308) q[1], q[0];
cry(-0.4288) q[0], q[5];
cry(0.4628) q[1], q[6];
cry(0.2756) q[6], q[0];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2883) 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", "... |
9194789fd8ef7285e3eb985ead1ac825 | 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": 1, "... | {"states": [240, 255], "expectation_value": -25.06298058174825, "params": null, "bitstrings": ["111100001111", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.11430861175963669, 0.4173818854524016], "optimization_time": 220.95350337028503} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["111100000000"]} | 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];
ry(-1.5708) q[3];
ry(-0.7408) q[2];
ry(-1.559) q[1];
ry(-0.6112) q[0];
cry(-0.9596) q[11], q[0];
cry(-0.83) q[11], q[2];
cry(1.5706) q[7], q[5];
ry(1.056) q[7];... | null | {"node": 4} | {"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];\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];... |
c51df70f6c86a32c21e504b9f41dac95 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -11.269898980622605, "params": [[[-0.0077, 0.30670000000000003], [-0.0, 0.0009000000000000001], [-0.0035, -0.0018000000000000002], [-0.0038, -0.0021000000000000003], [0.0017000000000000001, -0.0013000000000000002], [-0.0025, -0.0017000000000000001], [-0.0001, -0.0032], [-0.... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(8)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0077) q[0];
ry(0) q[1];
ry(-0.0035) q[2];
ry(-0.0038) q[3];
ry(0.0017) q[4];
ry(-0.0025) q[5];
ry(-0.0001) q[6];
ry(-0.0007) q[7];
ry(0.0002) q[8];
ry(-0.0016) q[9];
ry(-0.3473) q[10];
ry(-0.0003) 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [23419, 23411], "expectation_value": -6.920390558568804, "params": [0.762, 0.06960000000000001, 0.7524000000000001, 0.09680000000000001, 0.4015, 0.3849, 0.3517, 0.3826, 0.765, 0.06520000000000001, 0.7529, 0.12710000000000002, 0.79, -0.058100000000000006, 0.7837000000000001, 0.08950000000000001, 0.3488, 0.345... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 7 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.762) q[0];
rz(0.0696) q[0];
rx(0.4015) q[1];
rz(0.3849) q[1];
rx(0.765) q[2];
rz(0.0652) q[2];
rx(0.79) q[3];
rz(-0.0581) q[3];
rx(0.3488) q[4];
rz(0.3457) q[4];
rx(0.7787) q[5];
rz(0.1315) q[5];
rx(0.7699) q[6];
rz(0.0203) q[6];
rx(0.3989) q[7];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
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