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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b37a187c731adb427065940c6b9da462 | 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": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -12.344223477562094, "params": [0.0028, 0.08660000000000001, 0.00030000000000000003, 0.1115, 0.001, 0.1646, 0.006, 0.1607, 0.20750000000000002, -0.0019, 0.2033, 0.0005, 0.0001, 0.1643, 0.0009000000000000001, 0.1658, 0.0043, 0.1547, 0.0081, 0.1291, 0.0046, 0.08850000000000001, 0... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(1) @ Z(10)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(10)) + -0.75 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * ... | 7 | 11 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0028) q[0];
rz(0.0866) q[0];
rx(0.001) q[1];
rz(0.1646) q[1];
rx(0.2075) q[2];
rz(-0.0019) q[2];
rx(0.0001) q[3];
rz(0.1643) q[3];
rx(0.0043) q[4];
rz(0.1547) q[4];
rx(0.0046) q[5];
rz(0.0885) q[5];
rx(0.0048) q[6];
rz(0.1511) q[6];
rx(0.001) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
0b5f0e96c66f1fe8afca6f37edd06ab2 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [73, 22], "expectation_value": -0.5474677338024472, "params": [[-0.0328, -0.0247, -0.06430000000000001], [0.0357, 0.0066, 0.053000000000000005]], "bitstrings": ["0110110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.009419447297402355, 0.00982859183577268], "optimization_time": 8.54368829... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"]} | 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(-0.0328) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0328) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0328) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0328) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
5fb7d8d9ff75f939abcd806fd5ddfb77 | connected_components | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -6.57398557738559, "params": [[[0.0018000000000000002, 1.697], [-0.0028, -0.0029000000000000002], [-0.002, -0.0022], [-0.0019, 0.0018000000000000002], [-0.0024000000000000002, 1.4822]]], "bitstrings": ["00011", "00000"], "total_optimization_steps": 170, "probabilities": [0.2565... | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 15 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(0.0018) q[0];
ry(-0.0028) q[1];
ry(-0.002) q[2];
ry(-0.0019) q[3];
ry(-0.0024) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.697) q[0];
ry(-0.0029) q[1];
ry(-0.0022) q[2];
ry(0.0018) q[3];
ry(1.4822) q[4];
cx q[4], 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;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q[4];
cx q[4], q[0];
... | {"node": 0} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}]} | {"states": [27499, 28011], "expectation_value": -8.680786279825233, "params": null, "bitstrings": ["001010010010100", "001001010010100"], "total_optimization_steps": 100, "probabilities": [0.056904734128678136, 0.8136388648983083], "optimization_time": 547.8787496089935} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(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.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.74999999999997, "smallest_bitstrings": ["001001010010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
ry(1.5706) q[14];
ry(1.5706) q[1];
cry(1.5681) q[1], q[9];
cry(1.5486) q[1], q[3];
cry(1.5486) q[1], q[8];
cry(1.4449) q[1], q[13];
r... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nh q[12];\nh q[13];\nh q[14];\nry(1.5706) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... |
-4904712987042068465 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5], [8, 2], [0, 4], [1, 3], [8, 5], [8, 9], [0, 6], [5, 7], [1, 9], [4, 5], [8, 6], [2, 7], [3, 4], [2, 6], [9, 5], [1, 7], [4, 6], [0, 7], [3, 7], [3, 5], [9, 6], [9, 3]]} | {"states": [231, 167], "expectation_value": -0.9609606847013271, "params": [0.9519000000000001, -0.2038, 0.9055000000000001, 0.0056, 0.6746, 0.24230000000000002, 0.6401, 0.0001, 0.9540000000000001, -0.1321, 0.9465, 0.0039000000000000003, 0.9400000000000001, 0.24830000000000002, 0.8648, 0.007500000000000001, 0.967000000... | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111011000", "0010100111", "0010100101", "0000100111", "1101011010", "1101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9519) q[0];
rz(-0.2038) q[0];
rx(0.6746) q[1];
rz(0.2423) q[1];
rx(0.954) q[2];
rz(-0.1321) q[2];
rx(0.94) q[3];
rz(0.2483) q[3];
rx(0.967) q[4];
rz(-0.0217) q[4];
rx(0.6333) q[5];
rz(0.2497) q[5];
rx(0.6173) q[6];
rz(-0.224) q[6];
rx(0.9552) 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": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 23.69571328163147} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
cry(-1.0343) q[4], q[2];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[3], q[4];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
47e061061a6d0acfe5610133d54047de | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 1, ... | {"states": [43, 127], "expectation_value": -12.4074496868785, "params": [[0.08080000000000001, 0.0584, 0.1622], [-0.2936, -0.2571, -0.2104]], "bitstrings": ["11010100", "10000000"], "total_optimization_steps": 40, "probabilities": [0.05333140511369222, 0.054577135352971366], "optimization_time": 6.55358624458313} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1212) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.2424) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.2828) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(-0.1616) q[1];
cx q[5], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
18f51c81d01a61d58a5d6da20c55ce9d | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -26.067139236197193, "params": [[[0.0028, 1.6046], [0.0021000000000000003, 0.0018000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0018000000000000002, 0.0019], [-0.0033, 0.0023], [0.0023, 0.0026000000000000003], [-0.002600000... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0028) q[0];
ry(0.0021) q[1];
ry(0.0021) q[2];
ry(0.0021) q[3];
ry(0.0018) q[4];
ry(-0.0033) q[5];
ry(0.0023) q[6];
ry(-0.0026) q[7];
ry(0.0025) q[8];
ry(0.0026) 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[... | OPENQASM 3.0;
include "stdgates.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": 2} | {"circuits": [], "gradients": []} |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 100], "expectation_value": -0.9645137931173636, "params": [[0.054900000000000004, 0.0541, 0.062200000000000005, -0.068], [-0.0362, -0.0444, -0.0634, -0.0082]], "bitstrings": ["1101010", "0011011"], "total_optimization_steps": 10, "probabilities": [0.012129357657677715, 0.012622029421453242], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0549) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0549) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0549) q[6];
cx q[0], q[6];
cx q[5], q[6];
rz(0.0549) q[6];
cx q[5], q[6];
cx q[2], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
879db80c5aed6ed1e5333d23205b0505 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [511, 447], "expectation_value": -8.633838728854323, "params": [[0.08940000000000001], [-0.1709]], "bitstrings": ["11000000000", "11001000000"], "total_optimization_steps": 20, "probabilities": [0.0029768716256215284, 0.0029783677427431803], "optimization_time": 3.4731295108795166} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(8)) + -3.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + 0.5... | 5 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["11001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.2682) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0894) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0894) q[4];
cx q[0], q[4];
cx q[7], q[5];
rz(-0.447) 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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 3} | {"circuits": [], "gradients": []} |
8754059713724812161 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 7, 9, 10], [0, 1, 2, 3, 5, 6, 8], [10, 3, 4, 6], [9, 11, 1, 7], [1, 3, 6, 7, 11], [1, 2, 3, 4, 7, 10, 11], [0, 4, 6, 8, 9], [0, 1, 2, 3, 4, 9, 10, 11], [1, 2, 4, 7, 8, 9], [1, 3, 4, 7, 8, 11], [3, 4, 5, 6, 8], [8, 11, 5, 7], [0, 1, 2, 3, 5, 7, 1... | {"states": [1902, 1918], "expectation_value": -3.412296761471466, "params": [0.5006, 0.7217, 0.4994, 0.0048000000000000004, 1.6326, 0.3405, 1.4992, 0.0046, 0.9700000000000001, -0.3111, 0.9737, 0.0015, 1.5423, -0.16770000000000002, 1.5724, 0.0077, 0.45520000000000005, -0.7083, 0.4562, 0.0023, 1.6263, -0.3819, 1.53490000... | 0.18333333333333332 * (Z(1) @ Z(4)) + 0.10714285714285715 * (Z(5) @ Z(4)) + 0.10476190476190475 * (Z(5) @ Z(1)) + 0.12380952380952381 * (Z(7) @ Z(4)) + 0.28095238095238095 * (Z(7) @ Z(1)) + 0.14047619047619048 * (Z(7) @ Z(5)) + 0.2357142857142857 * (Z(9) @ Z(4)) + 0.1857142857142857 * (Z(9) @ Z(1)) + 0.0571428571428571... | 7 | 12 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.876190476190476, "smallest_bitstrings": ["100010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.5006) q[0];
rz(0.7217) q[0];
rx(1.6326) q[1];
rz(0.3405) q[1];
rx(0.97) q[2];
rz(-0.3111) q[2];
rx(1.5423) q[3];
rz(-0.1677) q[3];
rx(0.4552) q[4];
rz(-0.7083) q[4];
rx(1.6263) q[5];
rz(-0.3819) q[5];
rx(1.5592) q[6];
rz(-0.0798) q[6];
rx(0.8549) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-4395537743540680910 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [8, 2, 3], [1, 2, 7], [2, 6], [1, 5], [0, 3, 7], [0, 4], [4, 6], [6, 7], [3, 5, 7], [8, 0]]} | {"states": [211, 91], "expectation_value": -3.9066122092431725, "params": null, "bitstrings": ["100101100", "110100100"], "total_optimization_steps": 57, "probabilities": [0.07540081694352152, 0.8852136730680595], "optimization_time": 109.14581990242004} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.1666666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["110100100"]} | 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(1.5298) q[7];
cry(-1.4447) q[7], q[6];
ry(1.5286) q[2];
cry(-1.2289) q[5], q[1];
ry(1.2217) q[4];
cry(-1.4322) q[4], q[0];
cry(1.4283) q[4], q[8];
ry(0.7623) q[5];
ry(-0.5203) q[1];
cry... | 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(1.5298) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
af362589373fbae038fde822b29f9e30 | 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": [470, 214], "expectation_value": -72.7323631736528, "params": [0.5391, 0.2682, 0.9906, -0.0013000000000000002, 0.9908, 0.1298, -0.0126, 0.6925, 0.9998, -0.07740000000000001, 0.3758, -0.3115, 0.9988, -0.014100000000000001, 0.9987, 0.2069, 0.134, 0.45120000000000005, 0.5356000000000001, 0.2361, 0.9948, -0.0110... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 10.0 * Z(0) + 14.5 * Z(2) + 20.5 * Z(1) + 8.0 * Z(4) + -... | 18 | 9 | 3 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5391) q[0];
rz(0.2682) q[0];
rx(0.9906) q[1];
rz(-0.0013) q[1];
rx(0.9908) q[2];
rz(0.1298) q[2];
rx(-0.0126) q[3];
rz(0.6925) q[3];
rx(0.9998) q[4];
rz(-0.0774) q[4];
rx(0.3758) q[5];
rz(-0.3115) q[5];
rx(0.9988) q[6];
rz(-0.0141) q[6];
rx(0.9987) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
-2477337784020927221 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 0, 2], [5, 7], [8, 2, 4], [9, 2, 3], [1, 10, 2], [4, 5, 6], [10, 6]]} | {"states": [1969, 1457], "expectation_value": -2.0794827270889993, "params": [1.1732, 1.1669, 0.7766000000000001, 0.7757000000000001, 1.3816000000000002, 1.3839000000000001, 1.5749, 1.5776000000000001, 0.5688, 0.5654, 1.5809, 1.5804, 1.5857, 1.5851000000000002, 0.2233, 0.22890000000000002, -0.0059, 0.0022, 0.5561, 0.56... | 0.16666666666666666 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.666666666666667, -2.666666666666667, -2.666666666666667, -2.666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["01001001110", "01000001111", "00100010011", "00101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.1732) q[0];
ry(0.7766) q[1];
ry(1.3816) q[2];
ry(1.5749) q[3];
ry(0.5688) q[4];
ry(1.5809) q[5];
ry(1.5857) q[6];
ry(0.2233) q[7];
ry(-0.0059) q[8];
ry(0.5561) q[9];
ry(1.1473) q[10];
crz(-0.0707) q[10], q[0];
crz(0.5232) q[9], q[10];
crz(-0.6681) q[8],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
16aed950661228e73cbfe28c55f52a27 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [252, 248], "expectation_value": -29.77405285027613, "params": [[-0.0227, -0.0154, 0.019200000000000002], [0.0655, 0.0731, 0.051300000000000005]], "bitstrings": ["100000011", "100000111"], "total_optimization_steps": 10, "probabilities": [0.007107046221390774, 0.009723211651904297], "optimization_time": 5.97... | 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(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"]} | 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(-0.2043) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2043) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2043) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2043) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 23.663185596466064} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4384) q[3];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[3], q[1];
cry(0.1248) q[0], q[2];
cry(0.1244) q[2], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1475595034188988284 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 0, 11, 7], [1, 10, 3, 4], [8, 0, 3, 7], [8, 0, 2, 1], [0, 3, 11, 6], [0, 9, 5, 1], [0, 9, 8], [9, 10, 5, 1], [8, 9, 2, 11], [0, 2, 11], [8, 3, 4, 6], [1, 2, 3], [10, 11, 6], [1, 6], [4, 6, 7]]} | {"states": [3062, 2934], "expectation_value": -3.9119250716262766, "params": [1.5723, 1.5736, 0.13440000000000002, -0.1231, 1.5752000000000002, 1.5723, 1.9356, 1.2132, 2.2705, 2.3796, 2.4877000000000002, 0.7532, 1.1369, 1.3932, 1.5713000000000001, 1.5753000000000001, 0.1779, -0.1582, 1.5725, 1.5749, 2.4268, 0.637500000... | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(11)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.166666666666... | 14 | 12 | 1 | {"smallest_eigenvalues": [-3.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["010010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5723) q[0];
ry(0.1344) q[1];
ry(1.5752) q[2];
ry(1.9356) q[3];
ry(2.2705) q[4];
ry(2.4877) q[5];
ry(1.1369) q[6];
ry(1.5713) q[7];
ry(0.1779) q[8];
ry(1.5725) q[9];
ry(2.4268) q[10];
ry(2.1388) q[11];
crx(-0.8796) q[11], q[0];
crx(1.1049) 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": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [18, 3], "expectation_value": -16.895383809692387, "params": [[0.0268, -0.0425, -0.0316, -0.0109], [-0.051000000000000004, 0.0396, 0.0568, 0.0655]], "bitstrings": ["1101101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01778145800170302, 0.01880393353489316], "optimization_time": 8.701969... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 13 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1474) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1474) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1474) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1474) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.15433630056958103, "params": [[-0.0757], [0.07010000000000001]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017803072102275497, 0.01809601861092934], "optimization_time": 1.194699764251709} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0379) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0757) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0757) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0379) q[1];
cx q[5], q[1];
cx q[2], q[4];
rz(0.113... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8371d10567e2a79675b7c54d9bc2bc4c | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -7.0376905036322075, "params": [0.5184, 0.07970000000000001, 0.1572, 0.5521, 0.5252, 0.2651, 0.2353, 0.6255000000000001, -0.5382, 0.37160000000000004, -0.3463, 0.9303, -0.515, 0.7675000000000001, -0.26, 0.8541000000000001, -0.527, 0.9561000000000001, -0.3682, 1.033000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 3 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5184) q[0];
rz(0.0797) q[0];
rx(0.5252) q[1];
rz(0.2651) q[1];
rx(-0.5382) q[2];
rz(0.3716) q[2];
rx(-0.515) q[3];
rz(0.7675) q[3];
rx(-0.527) q[4];
rz(0.9561) q[4];
rx(-0.5218) q[5];
rz(0.9549) q[5];
rx(0.1979) q[6];
rz(0.4225) q[6];
rx(-0.5282) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} |
6440352897ae715b0d3a7f54566e1380 | 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": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -18.885887153109294, "params": [[-0.038400000000000004, -0.008700000000000001], [0.0772, 0.0699]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01223291409186908, 0.015133716449211592], "optimization_time": 2.994236707687378} | 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(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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];
cx q[1], q[0];
rz(-0.3072) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3072) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3072) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3072) 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": []} |
56e34af205e5dd92b84910e936583f99 | 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": [43605, 21930], "expectation_value": -0.021113526487356683, "params": [[0.07200000000000001], [-0.07440000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.660819626311571e-05, 1.6608196263115715e-05], "optimization_time": 12.562180280685... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0176249999999434], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999065, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.036) 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[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[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": []} |
5886f169ace7df840d50dc8e45cdd501 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [31999, 32511], "expectation_value": -9.65951792100384, "params": [0.404, -0.1998, -0.758, 0.0083, 0.7097, 0.0801, -0.8548, 0.0006000000000000001, -0.9975, 0.39640000000000003, 0.20470000000000002, 0.0077, -1.0157, 0.6163000000000001, 0.3798, 0.0077, 1.0373, 0.5781000000000001, -0.4978, 0.006900000000000001,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.0 * (Z(13) @ Z(14)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(11) + 0.5 * Z(14) + 0.5 * Z(13) + 0.5 * Z(3) + 0.5 * ... | 6 | 15 | 1 | {"smallest_eigenvalues": [-14.499999999999906], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.499999999999869, "smallest_bitstrings": ["000000100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.404) q[0];
rz(-0.1998) q[0];
rx(0.7097) q[1];
rz(0.0801) q[1];
rx(-0.9975) q[2];
rz(0.3964) q[2];
rx(-1.0157) q[3];
rz(0.6163) q[3];
rx(1.0373) q[4];
rz(0.5781) q[4];
rx(1.0659) q[5];
rz(0.7397) q[5];
rx(0.963) q[6];
rz(0.5372) q[6];
rx(-1.0805) 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[... | {"node": 15} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | 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": [375, 371], "expectation_value": -3.536029602219391, "params": [1.3617000000000001, -0.35750000000000004, 0.7152000000000001, -0.4413, 1.3805, -0.1532, 1.3569, -0.217, 1.3896000000000002, -0.30960000000000004, 0.7284, -0.4726, 0.7525000000000001, -0.46280000000000004, 1.3613, -0.4167, 1.3676000000000001, -0.... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 2 | {"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;
rx(1.3617) q[0];
rz(-0.3575) q[0];
rx(0.7152) q[1];
rz(-0.4413) q[1];
rx(1.3805) q[2];
rz(-0.1532) q[2];
rx(1.3569) q[3];
rz(-0.217) q[3];
rx(1.3896) q[4];
rz(-0.3096) q[4];
rx(0.7284) q[5];
rz(-0.4726) q[5];
rx(0.7525) q[6];
rz(-0.4628) q[6];
rx(1.3613) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [8, 11], "expectation_value": -4.670437868168962, "params": [0.003, 1.2708000000000002, 0.0007, 1.0452000000000001, -0.003, 0.7743, 0.859, -0.4454, 0.004200000000000001, 1.6734, -0.6452, 0.6517000000000001, -1.2472, 0.2207, -0.0105, 0.9301, 0.0024000000000000002, -1.0536, -0.0028, 0.4233, 0.6081, 0.120500000... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.003) q[0];
rz(1.2708) q[0];
rx(0.0007) q[1];
rz(1.0452) q[1];
rx(-0.003) q[2];
rz(0.7743) q[2];
rx(0.859) q[3];
rz(-0.4454) q[3];
rx(0.0042) q[4];
rz(1.6734) q[4];
rx(-0.6452) q[5];
rz(0.6517) q[5];
rx(-1.2472) q[6];
rz(0.2207) q[6];
crz(-1.0284) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2e176b1388169c31718c374b42e0c725 | 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": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.08190430070980709, "params": [[-0.0514], [0.062]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008610944765753534, 0.008719431243326276], "optimization_time": 3.318462371826172} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0257) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.0514) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0257) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(0.0257) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8951172839156375118 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 6], [1, 2, 3], [0, 2, 4], [3, 4], [0, 1, 2, 5], [0, 1, 4], [4, 5], [0, 2, 3, 5], [2, 3, 6], [0, 3, 6], [2, 4, 6]]} | {"states": [117, 85], "expectation_value": -2.4209560387912137, "params": [1.4879, 0.0395, 1.3605, 0.0027, 1.139, -0.1753, 1.0450000000000002, 0.0039000000000000003, 1.4947000000000001, 0.028800000000000003, 1.4389, 0.0037, 0.6245, -0.006, 0.49060000000000004, 0.0047, 1.4935, 0.025400000000000002, 1.4457, 0.00720000000... | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.4166666666... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4879) q[0];
rz(0.0395) q[0];
rx(1.139) q[1];
rz(-0.1753) q[1];
rx(1.4947) q[2];
rz(0.0288) q[2];
rx(0.6245) q[3];
rz(-0.006) q[3];
rx(1.4935) q[4];
rz(0.0254) q[4];
rx(0.6621) q[5];
rz(-0.0038) q[5];
rx(1.4921) q[6];
rz(0.0294) q[6];
crx(-0.4312) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
843c0b844102c976bf0e3bde4e8ae7cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [426, 490], "expectation_value": -1.3834918460241072, "params": [0.192, 0.18560000000000001, 0.48210000000000003, 0.4772, 0.5859, 0.5937, 0.40900000000000003, 0.4132, 0.5999, 0.5995, 0.20320000000000002, 0.2, 0.5964, 0.5945, 0.092, 0.08600000000000001, 0.5966, 0.5969, 0.09860000000000001, 0.0978, 0.1927, 0.1... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(4))... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010100", "1000100110", "1000100011", "0010011100", "0010011001", "1001000110... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.192) q[0];
ry(0.4821) q[1];
ry(0.5859) q[2];
ry(0.409) q[3];
ry(0.5999) q[4];
ry(0.2032) q[5];
ry(0.5964) q[6];
ry(0.092) q[7];
ry(0.5966) q[8];
ry(0.0986) q[9];
crx(0.1608) q[9], q[0];
crx(-0.1783) q[8], q[9];
crx(0.5835) q[7], q[8];
crx(-0.0317) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.47527453502136696, "params": [[0.0702, 0.0755], [-0.0494, -0.06670000000000001]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.020048093156245436, 0.021437768943202186], "optimization_time": 2.4737887382507324} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0702) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0702) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0702) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.0702) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(0.0702... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
d265831a340745c2579b5b0193057d2b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [28, 156], "expectation_value": -3.401848592688832, "params": [0.807, -0.0043, 0.44830000000000003, -0.0045000000000000005, 0.3776, 0.0011, 0.7998000000000001, 0.0017000000000000001, 0.8011, -0.0051, 0.8112, -0.0128, 0.1809, -0.28600000000000003, 0.14500000000000002, 0.33590000000000003, 0.8059000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(7) + -0.5 * Z(4) + -0... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.807) q[0];
rz(-0.0043) q[0];
rx(0.4483) q[1];
rz(-0.0045) q[1];
rx(0.3776) q[2];
rz(0.0011) q[2];
rx(0.7998) q[3];
rz(0.0017) q[3];
rx(0.8011) q[4];
rz(-0.0051) q[4];
rx(0.8112) q[5];
rz(-0.0128) q[5];
rx(0.1809) q[6];
rz(-0.286) q[6];
rx(0.145) 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": []} |
e6c8c402e3dce66f9c822ae2c5e943a3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [140, 141], "expectation_value": -4.421160034301832, "params": [0.3058, 0.0021000000000000003, 0.3005, 0.0016, 0.007500000000000001, 0.1942, 0.0097, 0.193, -0.0033, 0.1899, -0.007500000000000001, 0.1925, 0.0219, 0.1467, 0.0152, 0.1469, 0.2978, 0.0143, 0.2979, 0.054200000000000005, 0.2979, 0.0015, 0.3058, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0... | 7 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01010011", "00110011", "01110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3058) q[0];
rz(0.0021) q[0];
rx(0.0075) q[1];
rz(0.1942) q[1];
rx(-0.0033) q[2];
rz(0.1899) q[2];
rx(0.0219) q[3];
rz(0.1467) q[3];
rx(0.2978) q[4];
rz(0.0143) q[4];
rx(0.2979) q[5];
rz(0.0015) q[5];
rx(0.0036) q[6];
rz(0.1765) q[6];
rx(0.2745) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-2810934664626767259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 5, 1], [0, 1, 4, 5, 9], [10, 7], [0, 3, 4, 6, 7], [0, 4, 5, 8, 9, 10], [0, 9, 3, 6], [0, 2, 3, 5, 9, 10], [0, 1, 4, 6, 9], [1, 2, 10, 4], [0, 5, 6, 8, 9], [2, 4, 5, 8, 10], [1, 2, 4, 7, 9], [8, 1, 3, 7], [1, 5, 6, 8, 9, 10], [3, 4, 5, 6], [0, 2, 4, 6, ... | {"states": [891, 889], "expectation_value": -4.958314916144153, "params": [0.914, -0.8061, 0.747, 0.0091, 1.7836, 0.0154, 1.2513, 0.0064, 1.7489000000000001, -0.185, 1.3834, 0.0026000000000000003, 0.5694, -0.796, 0.5322, 0.0034000000000000002, 1.7823, -0.0441, 1.3063, 0.004, 1.7686000000000002, -0.057100000000000005, 0... | 0.23333333333333334 * (Z(10) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.2833333333333333 * (Z(6) @ Z(10)) + 0.3 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(10)) + 0.31666666666666665 * (Z(1) @ Z(6)) + 0.15 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(10)) + 0.31666666666666665 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.016666666666665, "smallest_bitstrings": ["10010000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.914) q[0];
rz(-0.8061) q[0];
rx(1.7836) q[1];
rz(0.0154) q[1];
rx(1.7489) q[2];
rz(-0.185) q[2];
rx(0.5694) q[3];
rz(-0.796) q[3];
rx(1.7823) q[4];
rz(-0.0441) q[4];
rx(1.7686) q[5];
rz(-0.0571) q[5];
rx(1.7669) q[6];
rz(-0.1009) q[6];
rx(1.7659) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a90bff6c3a417e74e2fa1e262b24b3f8 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [67, 82], "expectation_value": -0.060051947860667476, "params": [[0.054400000000000004], [-0.044700000000000004]], "bitstrings": ["0111100", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008234438403257315, 0.008234438403257324], "optimization_time": 1.264392375946045} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 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": ["0101101", "0111010", "1010011", "0101011", "0111100", "0011011", "1110010", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0544) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0544) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.0544) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(0.0544) q[5];
cx q[1], q[5];
cx q[2], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 18], "expectation_value": -3.911631293737013, "params": null, "bitstrings": ["111001", "101101"], "total_optimization_steps": 18, "probabilities": [0.06012645497830037, 0.7888190124886368], "optimization_time": 14.815666913986206} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"]} | 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[5];
cry(-1.0343) q[1], q[3];
cry(-1.0343) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[2];
ry(-0.4549) q[3];
cry(0.4578) q[4], q[1];
cry(0.4515) q[1], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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... |
12a709cea7d6ba239d3ff08a3d514b7a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.297054329333, "params": [[[0.003, 0.8097000000000001], [-0.0034000000000000002, 0.0029000000000000002], [0.0024000000000000002, 0.003], [0.0029000000000000002, 0.0015], [0.0039000000000000003, 0.0021000000000000003], [0.0026000000000000003, 0.0027], [0.0019, 0.002], [0.003... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.003) q[0];
ry(-0.0034) q[1];
ry(0.0024) q[2];
ry(0.0029) q[3];
ry(0.0039) q[4];
ry(0.0026) q[5];
ry(0.0019) q[6];
ry(0.0031) q[7];
ry(0.0026) q[8];
ry(-0.0011) q[9];
ry(0.0028) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b2309033b6624415ccab4ec6991f5bce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [9, 24], "expectation_value": -5.411632246303773, "params": null, "bitstrings": ["1110110", "1100111"], "total_optimization_steps": 22, "probabilities": [0.06012643125725533, 0.7888196926387847], "optimization_time": 23.78864026069641} | 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
ry(-1.5681) q[5];
cry(-1.0343) q[2], q[6];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[2];
ry(0.7003) q[3];
ry(-0.4549) q[6];
ry(-0.4549) q[1];
cry(0.4578) q[3], q[2];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5c94745dc5cfcb7bd7e70ecbf4c71545 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [254, 255], "expectation_value": -18.090491283311003, "params": [[[-0.0022, -0.0027], [0.0019, 0.0018000000000000002], [0.0019, 0.0019], [0.0021000000000000003, 0.002], [0.0029000000000000002, 2.2018], [0.0027, -0.0027], [-0.019, -0.0122], [0.0031000000000000003, 0.9696], [0.0027, -0.003], [0.0027, 0.0028], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(10) @ Z(9)) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0022) q[0];
ry(0.0019) q[1];
ry(0.0019) q[2];
ry(0.0021) q[3];
ry(0.0029) q[4];
ry(0.0027) q[5];
ry(-0.019) q[6];
ry(0.0031) q[7];
ry(0.0027) q[8];
ry(0.0027) q[9];
ry(-1.6171) q[10];
ry(0.0024) 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] x2;
input float[64] x3;
input float[6... | {"node": 0} | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -10.822881527209319, "params": [[[0.46030000000000004, -0.1758], [0.1875, -0.2952], [0.1985, -0.29300000000000004], [0.4796, -0.17], [0.8002, -0.0016], [0.7966000000000001, 0.0015]], [[0.4652, 0.007], [0.1903, 0.0043], [0.1995, 0.004], [0.4859, 0.0064], [0.8036000000000001, 0.006... | 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.... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4603) q[0];
rz(-0.1758) q[0];
rx(0.1875) q[1];
rz(-0.2952) q[1];
rx(0.1985) q[2];
rz(-0.293) q[2];
rx(0.4796) q[3];
rz(-0.17) q[3];
rx(0.8002) q[4];
rz(-0.0016) q[4];
rx(0.7966) q[5];
rz(0.0015) q[5];
rx(0.4652) q[0];
rz(0.007) q[0];
rx(0.1903) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -32.04164071325884, "params": [[0.029500000000000002, 0.013000000000000001, -0.0058000000000000005], [-0.08800000000000001, -0.1583, -0.1482]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 20, "probabilities": [0.025936804414320568, 0.03194676115448258]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.236) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.236) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.236) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.236) q[3];
cx q[4], q[3];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -2.216490994264401, "params": [[[0.195, -0.1962], [0.2937, -0.13], [0.25630000000000003, 0.134], [0.506, 0.0014], [0.5684, -0.0021000000000000003], [0.4273, -0.0044]], [[0.19890000000000002, -0.1935], [0.2922, -0.1301], [0.2539, 0.134], [0.5062, 0.0014], [0.5664, -0.0021000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 4 | {"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;
rx(0.195) q[0];
rz(-0.1962) q[0];
rx(0.2937) q[1];
rz(-0.13) q[1];
rx(0.2563) q[2];
rz(0.134) q[2];
rx(0.506) q[3];
rz(0.0014) q[3];
rx(0.5684) q[4];
rz(-0.0021) q[4];
rx(0.4273) q[5];
rz(-0.0044) q[5];
rx(0.1989) q[0];
rz(-0.1935) q[0];
rx(0.2922) q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
20a8103f07dd8a24047f028e6edcf2b9 | 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": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 176.55591988563538} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[3];
ry(25.2346) q[4];
ry(45.2502) q[2];
cry(-25.0055) q[2], q[3];
ry(34.7603) q[6];
ry(30.3649) q[1];
cry(-26.878) q[2], q[6];
cry(12.6016) q[6], q[4];
cry(13.2714) q[2], q[4];
ry(0.0... | 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(0.1246) 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[... |
4077791080526280871 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 9, 10, 11], [1, 5, 6, 7, 9], [1, 3, 6, 7, 10, 11], [0, 1, 3, 4, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 11], [0, 1, 2, 3, 4, 5, 7, 9, 10], [0, 1, 2, 3, 4, 5, 10, 11], [1, 2, 3, 5, 6, 8, 10], [1, 2, 3, 4, 6, 8, 9], [0, 9, 10, 6], [1, 3, 4, 5, ... | {"states": [1020, 1021], "expectation_value": -2.145184096233974, "params": [0.0017000000000000001, -1.117, -0.0026000000000000003, -1.0931, 1.796, 0.0027, 1.9373, 0.0029000000000000002, 2.204, -0.0029000000000000002, 2.4051, -0.0023, 2.573, 0.0025, 2.6592000000000002, -0.0022, 2.9066, -0.0029000000000000002, 3.1607000... | 0.11428571428571427 * (Z(0) @ Z(1)) + 0.11428571428571428 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.1952380952380952 * (Z(5) @ Z(1)) + 0.09047619047619046 * (Z(5) @ Z(0)) + 0.11428571428571428 * (Z(5) @ Z(4)) + 0.1353174603174603 * (Z(11) @ Z(1)) + 0.12103174603174602 * (Z(11) @ Z(0)) + 0.06150793650793... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.2714285714285722], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.246031746031747, "smallest_bitstrings": ["110000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0017) q[0];
rz(-1.117) q[0];
rx(-0.0026) q[1];
rz(-1.0931) q[1];
rx(1.796) q[2];
rz(0.0027) q[2];
rx(1.9373) q[3];
rz(0.0029) q[3];
rx(2.204) q[4];
rz(-0.0029) q[4];
rx(2.4051) q[5];
rz(-0.0023) q[5];
rx(2.573) q[6];
rz(0.0025) q[6];
rx(2.6592) 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": []} |
2ed9f99b1445fcfc56c82274694227fc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [358, 362], "expectation_value": -85.2047157153552, "params": [[[0.0893, -0.0025], [1.0556, 0.006500000000000001], [0.0258, 0.0023], [0.5737, 0.3649], [-0.0058000000000000005, 0.5806], [0.0031000000000000003, 1.5734000000000001], [-0.0024000000000000002, -0.17900000000000002], [0.007, -0.0876], [1.409, 0.247... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 0.5 * Z(0) + 6.0 * Z(1) + 7.0 * Z(3) + 1.5 * Z(2) + 10.0 * Z(4) + -3.0 * Z(5) + 3.5 * Z(7) + -1.0 * Z(6) + 1.5 * Z(9) + 6.... | 15 | 10 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0893) q[0];
ry(1.0556) q[1];
ry(0.0258) q[2];
ry(0.5737) q[3];
ry(-0.0058) q[4];
ry(0.0031) q[5];
ry(-0.0024) q[6];
ry(0.007) q[7];
ry(1.409) q[8];
ry(0.001) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 10.082853555679321} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[4];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[2];
cry(-0.1259) q[1], q[4];
cry(0.1248) q[1], q[0];
cry(0.1242) q[0], q[1];
c[0] = measure q[0];
c[1] = measur... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [988, 1623], "expectation_value": -0.4154898253205855, "params": [[0.0718], [-0.0603]], "bitstrings": ["10000100011", "00110101000"], "total_optimization_steps": 10, "probabilities": [0.0005879357171473511, 0.0005879357171473512], "optimization_time": 5.31950831413269} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.0718) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0718) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0718) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0718) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
8276274172437930851 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 4, 8, 10, 11], [0, 1, 5, 6, 7, 8, 9, 11, 12], [1, 4, 6, 7, 10], [8, 3, 5], [1, 2, 4, 9, 12], [0, 1, 3, 4, 7, 8, 9, 10, 12], [0, 3, 4, 5, 9, 11], [0, 1, 2, 4, 8, 11], [1, 4, 5, 6, 8, 9, 10, 12], [0, 1, 4, 5, 6, 7, 9, 11], [0, 1, 2, 4, 6, 9, 11],... | {"states": [5565, 5597], "expectation_value": -3.3008217831921445, "params": [1.476, 1.6586, 1.1852, 1.9635, 1.3311000000000002, 1.7723, 0.1184, 0.1535, 1.9652, 1.1734, 1.3679000000000001, 1.7619, 1.4712, 1.5953000000000002, 1.7975, 1.3569, 1.5932000000000002, 1.5609000000000002, 1.59, 1.5336, 1.3636000000000001, 1.744... | 0.1738095238095238 * (Z(0) @ Z(1)) + 0.3015873015873016 * (Z(4) @ Z(1)) + 0.26706349206349206 * (Z(4) @ Z(0)) + 0.11230158730158729 * (Z(8) @ Z(1)) + 0.14444444444444443 * (Z(8) @ Z(0)) + 0.14841269841269839 * (Z(8) @ Z(4)) + 0.1388888888888889 * (Z(10) @ Z(1)) + 0.12103174603174603 * (Z(10) @ Z(0)) + 0.138888888888888... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.519047619047617], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5158730158730127, "smallest_bitstrings": ["0101000100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.476) q[0];
ry(1.1852) q[1];
ry(1.3311) q[2];
ry(0.1184) q[3];
ry(1.9652) q[4];
ry(1.3679) q[5];
ry(1.4712) q[6];
ry(1.7975) q[7];
ry(1.5932) q[8];
ry(1.59) q[9];
ry(1.3636) q[10];
ry(1.519) q[11];
ry(1.3535) q[12];
crx(0.5503) q[12], q[0];
crx(0.6493) 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": []} |
70efe634d2e246637c66fda98f8e7e18 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [277, 309], "expectation_value": -5.997364631567787, "params": [[[0.002, 0.0094, 0.0018000000000000002, 0.0085], [1.0544, -0.002, 1.0479, 0.0057], [0.0029000000000000002, 0.006500000000000001, 0.0029000000000000002, 0.0077], [0.0019, 0.8854000000000001, 0.002, 0.008], [1.5987, 0.0004, 0.0019, 0.0086], [0.376... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["0011011100", "1011001010", "1011011000", "1101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.002) q[0];
rz(0.0094) q[0];
ry(1.0544) q[1];
rz(-0.002) q[1];
ry(0.0029) q[2];
rz(0.0065) q[2];
ry(0.0019) q[3];
rz(0.8854) q[3];
ry(1.5987) q[4];
rz(0.0004) q[4];
ry(0.3765) q[5];
rz(-0.0112) q[5];
ry(-0.0029) q[6];
rz(0.0058) q[6];
ry(1.0479) 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": []} |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [191, 190], "expectation_value": -1.615618971040645, "params": [0.1111, 0.3533, 0.6, -0.0795, 0.09870000000000001, -0.2277, 0.4632, -0.1353, 0.6035, 0.0046, 0.5679000000000001, 0.0162, 0.5987, -0.0176, 0.5933, -0.0889, 0.36510000000000004, -0.0695, 0.1051, 0.3597, 0.5965, -0.06620000000000001, 0.1023, -0.227... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1111) q[0];
rz(0.3533) q[0];
rx(0.6) q[1];
rz(-0.0795) q[1];
rx(0.0987) q[2];
rz(-0.2277) q[2];
rx(0.4632) q[3];
rz(-0.1353) q[3];
rx(0.6035) q[4];
rz(0.0046) q[4];
rx(0.5679) q[5];
rz(0.0162) q[5];
rx(0.5987) q[6];
rz(-0.0176) q[6];
rx(0.5933) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
3017d2c1cdf0bee58e95b7b7a199c0c6 | 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": [614, 613], "expectation_value": -82.99104584082984, "params": [[[0.5161, 0.003], [-0.0129, -0.0035], [0.0017000000000000001, 0.0108], [0.7130000000000001, 0.2291], [0.3098, 0.34140000000000004], [0.0035, 0.24860000000000002], [-0.032600000000000004, 0.0067], [0.1607, 0.10210000000000001], [0.5984, 0.8953000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(8)) + 13.5 * Z(0) + 4.5 * Z(1) + 12.5 * Z(3) + 4.5 * Z(5) + 14.0 * Z(4) + -5.0 * Z(2... | 15 | 10 | 4 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["0110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5161) q[0];
ry(-0.0129) q[1];
ry(0.0017) q[2];
ry(0.713) q[3];
ry(0.3098) q[4];
ry(0.0035) q[5];
ry(-0.0326) q[6];
ry(0.1607) q[7];
ry(0.5984) q[8];
ry(-0.0074) 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[... | OPENQASM 3.0;
include "stdgates.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]}"} | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [423, 934], "expectation_value": -1.7041235376403576, "params": [[[1.5735000000000001, 0.0028], [1.7100000000000002, -0.0018000000000000002], [1.7008, 0.0004], [0.6828000000000001, 0.006], [1.7069, 0.0034000000000000002], [1.159, -0.003], [0.0027, 0.002], [1.5768, 1.5684], [1.5707, 0.7459], [1.5766, 1.5739]]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5735) q[0];
ry(1.71) q[1];
ry(1.7008) q[2];
ry(0.6828) q[3];
ry(1.7069) q[4];
ry(1.159) q[5];
ry(0.0027) q[6];
ry(1.5768) q[7];
ry(1.5707) q[8];
ry(1.5766) 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];
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": []} |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.5798326707788612, "params": [[0.06380000000000001, 0.0587, 0.060500000000000005, 0.07250000000000001], [-0.0519, -0.0443, -0.0461, -0.0579]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.014011502423992675, 0.014629709555881394],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | 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(0.0638) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0638) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(0.0638) q[3];
cx q[0], q[3];
cx q[5], q[1];
rz(0.0638) q[1];
cx q[5], q[1];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [21, 61], "expectation_value": -3.9949433671033607, "params": null, "bitstrings": ["1101010", "1000010"], "total_optimization_steps": 38, "probabilities": [0.24539137776393896, 0.7475135603386809], "optimization_time": 31.538135766983032} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "1111110", "1101110", "1000010"]} | 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(1.5486) q[1], q[3];
cry(1.2165) q[3], q[1];
ry(1.4449) q[2];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
ry(-1.5154) q[5];
cry(1.2992) q[2], q[4];
cry(0.2335) q[3], q[4];
cry(0.0966) q[4], q[2];
cry(0.0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
-7674393439505092874 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [1, 3, 5], [0, 3, 6], [1, 4], [0, 1], [2, 6], [0, 2, 3], [1, 3, 6], [0, 3, 5], [5, 6], [0, 4]]} | {"states": [30, 105], "expectation_value": -1.4203386692507405, "params": [[-0.365], [0.36510000000000004]], "bitstrings": ["1100001", "0010110"], "total_optimization_steps": 40, "probabilities": [0.030693554430542818, 0.031073550796601134], "optimization_time": 1.6111760139465332} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.1666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9999999999999987, "smallest_bitstrings": ["0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(-0.365) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.1217) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2433) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(-0.1217) q[5];
cx q[1], q[5];
cx q[3], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -1.4061860654257534, "params": [[0.053700000000000005, 0.0505, 0.0709, 0.055400000000000005], [-0.039, -0.0241, -0.0539, -0.053200000000000004]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.025318918343546742, 0.029600825600582074], "o... | 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 | 4 | {"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];
cx q[1], q[0];
rz(0.0537) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0537) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0537) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0537) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0537... | OPENQASM 3.0;
include "stdgates.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": []} |
193bd74fa5c39737b189c4cd7c74ab9f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [17, 81], "expectation_value": -3.17553621201106, "params": [[[1.6605, 0.0041], [-0.020200000000000003, 0.0089], [1.8089000000000002, 0.0013000000000000002], [-0.018500000000000003, 0.008700000000000001], [1.2903, 0.0092], [0.0821, 0.0092], [1.6902000000000001, 0.0097]]], "bitstrings": ["1101110", "0101110"]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "1010101", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6605) q[0];
rz(0.0041) q[0];
rx(-0.0202) q[1];
rz(0.0089) q[1];
rx(1.8089) q[2];
rz(0.0013) q[2];
rx(-0.0185) q[3];
rz(0.0087) q[3];
rx(1.2903) q[4];
rz(0.0092) q[4];
rx(0.0821) q[5];
rz(0.0092) q[5];
rx(1.6902) q[6];
rz(0.0097) q[6];
c[0] = measure q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -2.1311791649373255, "params": [[-0.0648, -0.035500000000000004], [0.0765, 0.0627]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00888057953453432, 0.008919377455263066], "optimization_time": 3.470231533050537} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.1296) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.1296) q[1];
cx q[3], q[1];
cx q[4], q[5];
rz(0.162) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0648) q[5];
cx q[3], q[5];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 34.89496397972107} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1010000", "1111100", "1110100", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
cry(1.5486) q[1], q[4];
cry(1.2165) q[4], q[1];
cry(-1.5158) q[6], q[0];
ry(1.0305) q[6];
ry(-0.4218) q[0];
cry(1.3539) q[6], q[5];
cry(0.2656) q[5], q[6];
cry(-0.2013) q[5], q[0];
cry(0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2911, 2910], "expectation_value": -4.805789683052625, "params": [1.5026000000000002, 0.4328, 0.7162000000000001, 0.7057, 1.556, 0.3781, 1.5585, 0.11330000000000001, 0.7273000000000001, 0.7185, 1.5393000000000001, 0.49300000000000005, 0.8088000000000001, -0.4862, 1.5296, -0.2862, 1.5267000000000002, -0.06000... | 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(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5026) q[0];
rz(0.4328) q[0];
rx(0.7162) q[1];
rz(0.7057) q[1];
rx(1.556) q[2];
rz(0.3781) q[2];
rx(1.5585) q[3];
rz(0.1133) q[3];
rx(0.7273) q[4];
rz(0.7185) q[4];
rx(1.5393) q[5];
rz(0.493) q[5];
rx(0.8088) q[6];
rz(-0.4862) q[6];
rx(1.5296) 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": []} |
f5ca3fa53513e718dd1ab752cce53528 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [60, 58], "expectation_value": -4.9998837605244075, "params": null, "bitstrings": ["1000011", "1000101"], "total_optimization_steps": 31, "probabilities": [1.6414553871044653e-05, 0.9999151801987981], "optimization_time": 22.95253610610962} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[5];
ry(1.4417) q[3];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[2], q[3];
cry(0.1216) q[3], q[5];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e26a7b0ced2794f5e9fb233975a2bd69 | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [16350, 49118], "expectation_value": -20.88498977222334, "params": [1.6523, 0.005, 0.0328, 0.01, 3.1443000000000003, 0.0088, 3.1443000000000003, 0.0092, 3.1443000000000003, 0.0016, 3.1443000000000003, 0.0097, 3.1443000000000003, 0.001, 3.1443000000000003, 0.0053, 3.1443000000000003, 0.009600000000000001, 3.1... | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 3 | 16 | 1 | {"smallest_eigenvalues": [-20.999999999999627], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.99999999999962, "smallest_bitstrings": ["0100000000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.6523) q[0];
rz(0.005) q[0];
rx(0.0328) q[1];
rz(0.01) q[1];
rx(3.1443) q[2];
rz(0.0088) q[2];
rx(3.1443) q[3];
rz(0.0092) q[3];
rx(3.1443) q[4];
rz(0.0016) q[4];
rx(3.1443) q[5];
rz(0.0097) q[5];
rx(3.1443) q[6];
rz(0.001) q[6];
rx(3.1443) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
40969da677d24132a72158e32478fe04 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [895, 1023], "expectation_value": -12.871672350605888, "params": null, "bitstrings": ["0010000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12619441848946178, 0.2890250597867233], "optimization_time": 193.88941931724548} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000"]} | 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];
cry(1.5708) q[1], q[2];
cry(1.5708) q[2], q[4];
cry(0.72) q[4], q[1];
cry(0.0651) q[2], q[1];
cry(1.5708) q[2], q[3];
cry(-0.9991) q[4], q[2];
cry(-0.0594) q[3], q[2];
cry(0.6026... | null | {"node": 10} | {"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];\ncry(1.5708) q[1], 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] = measu... |
fb354d60453679d679afcbc2ef259e36 | 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": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 22.122302532196045} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | 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(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[4], q[5];
cry(0.1246) q[2], q[4];
cry(0.1218) q[4], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
3a5e93a6522b0debcced28655340b370 | 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": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.789525217317777, "params": [-0.0035, -0.5348, -0.0037, 0.0033, 0.0023, -0.5716, 0.0023, 0.0045000000000000005, 0.804, 0.1811, 0.807, 0.0068000000000000005, 0.0026000000000000003, -0.5785, 0.0026000000000000003, 0.0055000000000000005, 0.0023, -0.5883, 0.0023, 0.001, 0.0022, ... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 5 | 11 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0035) q[0];
rz(-0.5348) q[0];
rx(0.0023) q[1];
rz(-0.5716) q[1];
rx(0.804) q[2];
rz(0.1811) q[2];
rx(0.0026) q[3];
rz(-0.5785) q[3];
rx(0.0023) q[4];
rz(-0.5883) q[4];
rx(0.0022) q[5];
rz(-0.5758) q[5];
rx(-0.0027) q[6];
rz(-0.5747) q[6];
rx(0.0022) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
475b2f0a232bb0d3ab64793dc24452cb | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [25, 74], "expectation_value": -2.1621766597578986, "params": [[0.067, 0.07350000000000001, 0.0717, 0.0809], [-0.06670000000000001, -0.0747, -0.0675, -0.0757]], "bitstrings": ["1100110", "0110101"], "total_optimization_steps": 10, "probabilities": [0.022215391072187732, 0.022215391072187743], "optimization_t... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"]} | 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(0.067) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.067) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.067) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.067) q[4];
cx q[0], q[4];
cx q[1], q[6];
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": []} |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [2046, 4095], "expectation_value": -9.32943495049069, "params": [[[-0.919, 1.1995], [-0.005, 1.0406], [0.0023, -0.005200000000000001], [0.0019, 0.0014], [0.0015, 0.0016], [0.0016, 0.0016], [0.0023, 0.002], [0.0033, -0.003], [0.0027, 0.0028], [0.0014, 0.0024000000000000002], [0.003, 0.0023], [0.00290000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 1.0 * Z(9) + -1.0 * Z(8) + 0.5 * Z(11) + 0.5 ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.919) q[0];
ry(-0.005) q[1];
ry(0.0023) q[2];
ry(0.0019) q[3];
ry(0.0015) q[4];
ry(0.0016) q[5];
ry(0.0023) q[6];
ry(0.0033) q[7];
ry(0.0027) q[8];
ry(0.0014) q[9];
ry(0.003) q[10];
ry(0.0029) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 7} | {"circuits": [], "gradients": []} |
117d5eadcb002c843d1e10097e462227 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 19.66351056098938} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[1];
cry(0.2489) q[4], q[2];
cry(-0.148... | 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... |
57ee338fb11c54f5732d695ad617aa60 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [510, 255], "expectation_value": -17.870381881608523, "params": [[[-0.0025, -0.0056], [-0.0051, 0.4723], [-0.0024000000000000002, 0.0034000000000000002], [-0.0025, 0.0033], [0.0036000000000000003, -0.0021000000000000003], [-0.0028, 0.0029000000000000002], [0.0018000000000000002, -0.0018000000000000002], [-1.... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0025) q[0];
ry(-0.0051) q[1];
ry(-0.0024) q[2];
ry(-0.0025) q[3];
ry(0.0036) q[4];
ry(-0.0028) q[5];
ry(0.0018) q[6];
ry(-1.4285) q[7];
ry(0.6825) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [33, 41], "expectation_value": -2.8254108287435127, "params": [0.2977, 0.29650000000000004, 0.1028, 0.1072, 0.3015, 0.2999, 0.0969, 0.0944, 0.0067, 0.006900000000000001, 0.298, 0.2876, 0.30410000000000004, 0.2992, 0.10360000000000001, 0.1075, 0.2903, 0.2716, 0.098, 0.0976, 0.0073, 0.0044, 0.29460000000000003... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["001011", "000111", "010110", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.2977) q[0];
ry(0.1028) q[1];
ry(0.3015) q[2];
ry(0.0969) q[3];
ry(0.0067) q[4];
ry(0.298) q[5];
crx(0.2805) q[5], q[0];
crx(-0.0733) q[4], q[5];
crx(0.1062) q[3], q[4];
crx(-0.2068) q[2], q[3];
crx(0.2726) q[1], q[2];
crx(0.0521) q[0], q[1];
ry(0.2965) 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": []} |
100d4b419d8da1535c186f77ffcb30e8 | 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": [346, 345], "expectation_value": -57.87504808344021, "params": [[[1.1619000000000002, 0.1378], [0.4219, 0.1328], [1.1946, 0.5226000000000001], [0.3398, 1.084], [0.3534, 1.1934], [0.38130000000000003, 0.09000000000000001], [0.2862, 1.1911], [1.192, 1.1879], [1.1822000000000001, 1.1985000000000001]], [[0.26730... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(3)) + 5.5 * Z(0) + 7.5 * Z(1) + 21.0 * Z(2) + 6.5 * Z(3) + 14.5 * Z(4) + 3.5 * Z(6) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1619) q[0];
ry(0.4219) q[1];
ry(1.1946) q[2];
ry(0.3398) q[3];
ry(0.3534) q[4];
ry(0.3813) q[5];
ry(0.2862) q[6];
ry(1.192) q[7];
ry(1.1822) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
918d0720354f72593c99e149eea5ed01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1982, 958], "expectation_value": -1.9080889081886232, "params": [1.0922, 0.009600000000000001, 1.4955, 0.0035, 2.3105, 0.0064, 2.3022, 0.0045000000000000005, 2.3039, 0.0029000000000000002, 1.0969, 0.008, 2.3033, 0.0046, 2.3033, 0.0059, 1.7064000000000001, 0.0086, 2.3005, 0.009600000000000001, 2.300400000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 12 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.9375, "smallest_bitstrings": ["001001010001", "1000010100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0922) q[0];
rz(0.0096) q[0];
rx(1.4955) q[1];
rz(0.0035) q[1];
rx(2.3105) q[2];
rz(0.0064) q[2];
rx(2.3022) q[3];
rz(0.0045) q[3];
rx(2.3039) q[4];
rz(0.0029) q[4];
rx(1.0969) q[5];
rz(0.008) q[5];
rx(2.3033) q[6];
rz(0.0046) q[6];
rx(2.3033) 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": []} |
4d70328aecc8c1ea3157fc10838636c1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [3, 7], "expectation_value": -3.4032564689793654, "params": [[[1.1573, 0.0032], [1.0924, 0.0006000000000000001], [1.1696, 0.0057], [1.088, 0.005200000000000001], [1.5844, 0.0058000000000000005], [1.5982, 0.0032], [1.5943, 0.0013000000000000002]]], "bitstrings": ["1111100", "1111000"], "total_optimization_ste... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.1573) q[0];
rz(0.0032) q[0];
rx(1.0924) q[1];
rz(0.0006) q[1];
rx(1.1696) q[2];
rz(0.0057) q[2];
rx(1.088) q[3];
rz(0.0052) q[3];
rx(1.5844) q[4];
rz(0.0058) q[4];
rx(1.5982) q[5];
rz(0.0032) q[5];
rx(1.5943) q[6];
rz(0.0013) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"k": 4} | {"circuits": [], "gradients": []} |
d6547d8d1b2ca3acd846543e0c7a6068 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [350, 348], "expectation_value": -84.50090135606726, "params": [0.0023, 0.0039000000000000003, 2.5972, 0.0049, 0.6172000000000001, 0.009600000000000001, 2.6042, 0.0019, 0.0023, 0.0098, 2.5898000000000003, 0.0016, 2.5895, 0.0029000000000000002, 2.6041000000000003, 0.0033, 1.5563, 0.0063, 0.0026000000000000003... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 5.5 * Z(1) + 0.5 * Z(2) + -4.5 * Z(4) + 5.5 * Z(3) + 23.0 * Z(6) + 10.5 * Z(8)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0023) q[0];
rz(0.0039) q[0];
rx(2.5972) q[1];
rz(0.0049) q[1];
rx(0.6172) q[2];
rz(0.0096) q[2];
rx(2.6042) q[3];
rz(0.0019) q[3];
rx(0.0023) q[4];
rz(0.0098) q[4];
rx(2.5898) q[5];
rz(0.0016) q[5];
rx(2.5895) q[6];
rz(0.0029) q[6];
rx(2.6041) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
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": -0.48978153952450704, "params": [[-0.0839], [0.0776]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011019216870757468, 0.011871690580684859], "optimization_time": 2.276228189468384} | -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 | 1 | {"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(0.042) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0839) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0839) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0839) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d4d2041cd2410ded697949cce479b1e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -19.27912200700881, "params": [[[0.0119, 0.0022], [-0.0027, 0.0021000000000000003], [0.0024000000000000002, -0.0026000000000000003], [0.0011, 0.003], [0.014, -0.0024000000000000002], [0.061500000000000006, -0.0027], [-0.007200000000000001, -0.0028], [0.01, 0.0027], [0.0123,... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(2) @ Z(6)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0119) q[0];
ry(-0.0027) q[1];
ry(0.0024) q[2];
ry(0.0011) q[3];
ry(0.014) q[4];
ry(0.0615) q[5];
ry(-0.0072) q[6];
ry(0.01) q[7];
ry(0.0123) q[8];
ry(-1.6494) q[9];
ry(0.0004) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
7c460bc18626c899079572daae6e6ba8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [340, 372], "expectation_value": -6.151524709410152, "params": [0.7884, 0.7926000000000001, -0.0057, -0.0015, 0.7888000000000001, 0.783, 0.4716, 0.47390000000000004, 0.786, 0.7944, 0.0026000000000000003, -0.0024000000000000002, 0.7878000000000001, 0.7951, -0.0187, -0.0235, -0.0027, -0.0013000000000000002, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(8) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7884) q[0];
ry(-0.0057) q[1];
ry(0.7888) q[2];
ry(0.4716) q[3];
ry(0.786) q[4];
ry(0.0026) q[5];
ry(0.7878) q[6];
ry(-0.0187) q[7];
ry(-0.0027) q[8];
crz(0.4678) q[8], q[0];
crz(-0.4384) q[7], q[8];
crz(-0.0205) q[6], q[7];
crz(-0.2901) q[5], q[6];
crz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1434096e59219230a9a448bfa214dbb8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.7289682416716032, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 40, "probabilities": [0.09667736587704383, 0.740450720865255], "optimization_time": 32.80221772193909} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5486) q[3], q[4];
cry(1.259) q[2], q[3];
ry(1.5308) q[1];
cry(1.0863) q[4], q[2];
ry(0.4497) q[3];
cry(0.6501) q[2], q[4];
cry(0.1769) q[4], q[3];
cry(0.4604) q[3], q[2];
ry(-0.3386) q[2];
cry(-0.1431) q[1]... | 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(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
a11609c04bedd6222d4b4ded1bbb7721 | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": ... | {"states": [1344, 1348], "expectation_value": -24.262462768037075, "params": [-0.006900000000000001, 0.0005, 0.24960000000000002, 0.22760000000000002, -0.0032, 0.0088, 0.39630000000000004, 0.3902, 0.0009000000000000001, 0.004200000000000001, 0.3927, 0.3941, 0.0006000000000000001, 0.0053, 0.0002, 0.0035, -0.0011, 0.0062... | -1.0 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.25 * (Z(10) @ Z(8)) + -1.5 * (Z(1) @ Z(10)) + -1.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(8)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(5) @ Z(10)) + 4.0 * (Z(3) @ Z(0)) + -1.5 * ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.75, "smallest_bitstrings": ["111010111011", "101010111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0069) q[0];
ry(0.2496) q[1];
ry(-0.0032) q[2];
ry(0.3963) q[3];
ry(0.0009) q[4];
ry(0.3927) q[5];
ry(0.0006) q[6];
ry(0.0002) q[7];
ry(-0.0011) q[8];
ry(-0.2891) q[9];
ry(0.0058) q[10];
ry(0.0079) q[11];
crx(0.4867) q[11], q[0];
crx(-0.4535) q[10], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
0792eb042922f55ffd0239825c818aef | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [295, 293], "expectation_value": -2.3639631437559507, "params": [0.30360000000000004, 0.29760000000000003, 0.054900000000000004, 0.053200000000000004, 0.2877, 0.27240000000000003, 0.2943, 0.3002, 0.0342, 0.0352, 0.0415, 0.0422, 0.30310000000000004, 0.3009, 0.231, 0.2217, 0.30110000000000003, 0.2975, 0.2957, ... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(7) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(6) + 0.0 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100011", "011011010", "011001011", "111011000", "101111000", "000111110", "100111100", "010011110", "011110010", "11001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3036) q[0];
ry(0.0549) q[1];
ry(0.2877) q[2];
ry(0.2943) q[3];
ry(0.0342) q[4];
ry(0.0415) q[5];
ry(0.3031) q[6];
ry(0.231) q[7];
ry(0.3011) q[8];
crx(0.2821) q[8], q[0];
crx(0.2834) q[7], q[8];
crx(-0.0697) q[6], q[7];
crx(0.2639) q[5], q[6];
crx(0.0595)... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} |
14a30531cef014d6a0823efcf74f344a | 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": [46, 47], "expectation_value": -51.89835211208636, "params": [[[0.7015, 0.1666], [0.3433, 0.1459], [-0.0845, 0.097], [-0.1037, 0.2757], [0.6987, 0.3562], [0.1388, 0.5284], [0.32170000000000004, 0.6904], [0.0497, 0.6907], [0.3206, 0.5759000000000001], [0.3972, 0.618]], [[0.7015, 0.19360000000000002], [0.19090... | 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(2) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 17.5 * Z(4) + 3.0 * Z(0) + 3.5 * Z(3) + 13.0 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) + -4.5 * Z(2) + 8.0 * Z(8) + 8.5 * Z(9) + -... | 15 | 10 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["1111010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7015) q[0];
ry(0.3433) q[1];
ry(-0.0845) q[2];
ry(-0.1037) q[3];
ry(0.6987) q[4];
ry(0.1388) q[5];
ry(0.3217) q[6];
ry(0.0497) q[7];
ry(0.3206) q[8];
ry(0.3972) 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[... | OPENQASM 3.0;
include "stdgates.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": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -17.385242478789035, "params": [[-0.0413, 0.0057], [0.0821, 0.068]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012843745368203832, 0.013841566263164394], "optimization_time": 3.012580633163452} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.3717) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.3717) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.3717) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.3717) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
812d7dff982c08f93fe24d4e593d247f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"sour... | {"states": [184, 248], "expectation_value": -3.890270062318764, "params": [[[0.19890000000000002, 0.35950000000000004], [0.911, 0.0011], [0.8472000000000001, 0.0037], [0.8913000000000001, 0.0036000000000000003], [0.9058, 0.0035], [0.9098, 0.0017000000000000001], [0.20700000000000002, -0.34040000000000004], [-0.00340000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -2.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1989) q[0];
rz(0.3595) q[0];
rx(0.911) q[1];
rz(0.0011) q[1];
rx(0.8472) q[2];
rz(0.0037) q[2];
rx(0.8913) q[3];
rz(0.0036) q[3];
rx(0.9058) q[4];
rz(0.0035) q[4];
rx(0.9098) q[5];
rz(0.0017) q[5];
rx(0.207) q[6];
rz(-0.3404) q[6];
rx(-0.0034) 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": []} |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 9.816731929779053} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[5];
ry(-1.57) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
cry(0.7632) q[5], q[0];
cry(-0.7635) q[1], q[0];
cry(-0.0027) q[5], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
1600da48c768639b2cb0d1bea5b2382e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [253, 255], "expectation_value": -0.14397925401329034, "params": [[-0.0158, -0.0738], [-0.025400000000000002, 0.0654]], "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022809552562724237, 0.0022823603736057962], "optimization_time": 3.1828439235687256} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000110", "100000010", "100000000", "100010110"]} | 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[0];
rz(0.0079) q[0];
cx q[3], q[0];
cx q[0], q[7];
rz(0.0158) q[7];
cx q[0], q[7];
cx q[3], q[8];
rz(0.0158) q[8];
cx q[3], q[8];
cx q[0], q[8];
rz(-0.0316) q[8];
cx q[0], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
8430149233521890326 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [1, 2, 3, 5], [0, 3, 5], [0, 4, 5], [2, 4, 5], [2, 3, 4]]} | {"states": [13, 7], "expectation_value": -1.5887211853497545, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 27, "probabilities": [0.11217838379091372, 0.7169094840392045], "optimization_time": 28.61183524131775} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "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];
ry(1.5486) q[5];
ry(1.0345) q[3];
cry(-0.7726) q[2], q[4];
cry(0.449) q[5], q[3];
cry(-0.5197) q[3], q[0];
cry(-0.4313) q[4], q[2];
ry(0.5117) q[4];
cry(-0.5956) q[4], q[0];
cry(0.282) q[5], q[4];
cry(-0.4099) q[... | 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(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
-4682615469667745155 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 5, 6], [0, 5, 7], [8, 2, 5, 7], [1, 2, 5, 6], [8, 1, 2, 3], [0, 1, 2, 4], [3, 7], [0, 1, 3, 4, 5, 8], [4, 7], [0, 2, 3, 5], [1, 2, 5, 7], [0, 8, 3, 6], [0, 2, 6, 7]]} | {"states": [125, 455], "expectation_value": -1.6715577618950674, "params": [[0.3345], [-0.3242]], "bitstrings": ["110000010", "000111000"], "total_optimization_steps": 40, "probabilities": [0.007614974050688016, 0.007712282789344519], "optimization_time": 4.241655111312866} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.2999999999999994], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.233333333333334, "smallest_bitstrings": ["000111000"]} | 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(0.1115) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1115) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1115) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.1673) q[5];
cx q[1], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [49, 1], "expectation_value": -1.2488729302115114, "params": [[-0.0437, -0.07880000000000001], [0.046400000000000004, 0.06960000000000001]], "bitstrings": ["1001110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013364706061058277, 0.014618889330364005], "optimization_time": 2.273996353149... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0437) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0874) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0655) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(0.0219) q[6];
cx q[2], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
2653443677327490875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [1, 2, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 6, 7, 8, 11], [0, 1, 4, 5, 6, 8, 9, 10, 11], [1, 2, 3, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 11], [1, 4, 5, 6, 7, 11], [1, 3, 4, 6, 7, 8, 9, 11], [0, 1, ... | {"states": [1518, 2030], "expectation_value": -2.7613464098137555, "params": [[[0.5754, 0.0078000000000000005], [3.1386000000000003, 0.0078000000000000005], [1.6698000000000002, 0.0001], [3.1396, 0.004200000000000001], [3.1386000000000003, 0.0033], [3.1445000000000003, 0.0081], [2.0214000000000003, 0.0059], [0.61230000... | 0.09007936507936508 * (Z(0) @ Z(1)) + 0.19404761904761902 * (Z(2) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(0)) + 0.1964285714285714 * (Z(3) @ Z(1)) + 0.053968253968253964 * (Z(3) @ Z(0)) + 0.17579365079365078 * (Z(3) @ Z(2)) + 0.13968253968253969 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.10515873015873... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.02896825396825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0067460317460313, "smallest_bitstrings": ["100000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.5754) q[0];
rz(0.0078) q[0];
rx(3.1386) q[1];
rz(0.0078) q[1];
rx(1.6698) q[2];
rz(0.0001) q[2];
rx(3.1396) q[3];
rz(0.0042) q[3];
rx(3.1386) q[4];
rz(0.0033) q[4];
rx(3.1445) q[5];
rz(0.0081) q[5];
rx(2.0214) q[6];
rz(0.0059) q[6];
rx(0.6123) 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": []} |
478b0d0e79aaa383d09e0a7385a1b956 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [95, 127], "expectation_value": -10.320828842704481, "params": [-0.3075, 0.37210000000000004, 0.15130000000000002, 0.39680000000000004, -0.051000000000000004, 1.0113, 0.4697, 0.8569, -0.48910000000000003, 1.4568, 0.5255000000000001, 0.9945, -0.5465, 0.1951, -0.5117, 0.07980000000000001, -0.5462, 0.2263, -0.5... | -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) | 6 | 7 | 3 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["1100000", "0000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.3075) q[0];
rz(0.3721) q[0];
rx(-0.051) q[1];
rz(1.0113) q[1];
rx(-0.4891) q[2];
rz(1.4568) q[2];
rx(-0.5465) q[3];
rz(0.1951) q[3];
rx(-0.5462) q[4];
rz(0.2263) q[4];
rx(-0.4022) q[5];
rz(0.1774) q[5];
rx(0.3185) q[6];
rz(0.7844) q[6];
crx(0.2491) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"node": 0} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [170, 85], "expectation_value": -0.006874313523657945, "params": [[0.06720000000000001], [-0.051500000000000004]], "bitstrings": ["01010101", "10101010"], "total_optimization_steps": 10, "probabilities": [0.0040156532949344615, 0.004015653294934463], "optimization_time": 4.033083200454712} | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["10101010", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.0336) 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[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0336) q[3];
cx q[2], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
fadbf4becdcb820e45aa8c382a4bc97a | 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": 0, "target... | {"states": [43605, 21930], "expectation_value": -0.022154327634153904, "params": [[-0.0723], [0.07780000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6679834712014525e-05, 1.6679834712014532e-05], "optimization_time": 12.177752494812012} | 0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.02104591836732], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672724, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0362) 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[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;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
7282702479489441897 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]} | {"states": [163, 179], "expectation_value": -3.1023128834844953, "params": null, "bitstrings": ["01011100", "01001100"], "total_optimization_steps": 66, "probabilities": [0.2127050349658993, 0.5109464913263007], "optimization_time": 111.84516477584839} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100011", "00001100", "00011100", "10110011", "01001100", "10100011", "01011100", "00101100", "11110011", "11010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[7], q[5];
ry(1.0293) q[7];
cry(1.4052) q[7], q[6];
cry(-0.9035) q[6], q[5];
cry(1.5176) q[6], q[2];
cry(-0.8573) q[6], q[4];
ry(1.3923) q[0];
cry(0.3062) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -0.2760729559787152, "params": [[0.0349, -0.0683], [-0.061900000000000004, 0.0632]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00934354648385424, 0.009572698459784338], "optimization_time": 2.0991153717041016} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0349) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0524) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(0.1047) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.0175) q[1];
cx q[2], q[1];
cx q[2], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.06555083087353289, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.13489474979204846, 0.14147357972018143], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0402) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0402) q[1];
cx q[2], q[1];
rz(0.0402) q[2];
rz(0) q[0];
rz(0) q[1];
h q[0];
rz(0.1104) q[0];
h q[0];
h q[1];
rz(0.1104) q[1];
h q[1];
h q[2];
rz(0.1104) q[2];
h q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | null | {"circuits": [], "gradients": []} |
b72451fd8beb69606a84f4be9a392c11 | 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": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.249859566697138, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 27.070211172103882} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5709) q[6];
cry(-1.5708) q[7], q[0];
ry(1.092) q[7];
ry(-0.5035) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.553) q[2];
cry(-0.1745) q[0], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-8383149207643838478 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [204, 196], "expectation_value": 0.02572208865929558, "params": [0.5994, 0.0028, 0.6005, 0.0, 0.604, 0.0028, 0.6022000000000001, 0.0009000000000000001, 0.5972000000000001, 0.007500000000000001, 0.5935, 0.0097, 0.6001000000000001, 0.0049, 0.5994, 0.0057, 0.5956, 0.013600000000000001, 0.5932000000000001, 0.007... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["00111011", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5994) q[0];
rz(0.0028) q[0];
rx(0.604) q[1];
rz(0.0028) q[1];
rx(0.5972) q[2];
rz(0.0075) q[2];
rx(0.6001) q[3];
rz(0.0049) q[3];
rx(0.5956) q[4];
rz(0.0136) q[4];
rx(0.6064) q[5];
rz(0.0023) q[5];
rx(0.601) q[6];
rz(-0.0028) q[6];
rx(0.6107) 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": []} |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 166.61989450454712} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "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];
ry(34.778) q[4];
ry(26.0857) q[7];
cry(2.9975) q[7], q[4];
ry(-3.4811) q[5];
ry(11.8178) q[2];
cry(-2.9363) q[7], q[5];
ry(1.6193) q[1];
cry(20.6965) q[1], q[4];
cry(-0.0103) q[7], q[6];
c... | null | {"matching": "maximum", "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(34.778) 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] = m... |
1022394227404255862 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [2, 4, 5, 6], [0, 3, 5], [3, 6, 7], [1, 3, 4, 6]]} | {"states": [125, 207], "expectation_value": -0.5755848531477747, "params": [[0.3698], [-0.37320000000000003]], "bitstrings": ["10000010", "00110000"], "total_optimization_steps": 40, "probabilities": [0.008497892710512869, 0.008562589022777478], "optimization_time": 1.6966290473937988} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666667, "smallest_bitstrings": ["00110000"]} | 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(0.0616) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0616) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0616) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0616) q[5];
cx q[1], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
64b81587301614454a8e204aef648a08 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 85.21267628669739} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "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];
ry(-1.5709) q[3];
cry(-1.5708) q[7], q[0];
ry(1.0958) q[7];
ry(1.5708) q[1];
ry(1.5708) q[2];
cry(-0.5613) q[2], q[0];
cry(0.3735) q[1], q[7];
cry(-0.1769) q[1], q[0];
cry(1.4449) q[2], q[5];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
06224520ded029e940b1fde3f5ab3e3b | 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": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2410, 1386], "expectation_value": -0.12101602566038501, "params": [0.8935000000000001, -0.17370000000000002, 0.8174, 0.0029000000000000002, 0.8954000000000001, -0.1739, 0.8199000000000001, 0.0083, 0.8829, -0.1713, 0.7289, 0.0035, 0.8981, -0.1686, 0.8888, 0.009000000000000001, 0.8183, 0.1928, 0.7160000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8935) q[0];
rz(-0.1737) q[0];
rx(0.8954) q[1];
rz(-0.1739) q[1];
rx(0.8829) q[2];
rz(-0.1713) q[2];
rx(0.8981) q[3];
rz(-0.1686) q[3];
rx(0.8183) q[4];
rz(0.1928) q[4];
rx(0.8995) q[5];
rz(0.184) q[5];
rx(0.8969) q[6];
rz(0.2097) q[6];
rx(0.8904) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
6325447213307762689 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 8], [1, 3], [4, 7], [8, 6]]} | {"states": [454, 468], "expectation_value": -0.035384819180645746, "params": [[0.0687], [-0.052000000000000005]], "bitstrings": ["000111001", "000101011"], "total_optimization_steps": 10, "probabilities": [0.002095011173808529, 0.002095011173808529], "optimization_time": 0.5436041355133057} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.5, "smallest_bitstrings": ["001110001", "010001011", "000111001", "111010100", "110011100", "011000011", "001100011", "101110100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(0.0687) q[2];
cx q[5], q[2];
cx q[8], q[0];
rz(0.0687) q[0];
cx q[8], q[0];
cx q[3], q[1];
rz(0.0687) q[1];
cx q[3], q[1];
cx q[7], q[4];
rz(0.0687) q[4];
cx q[7], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} |
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