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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a2b703670d19247f6071de624d813f7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 26, "probabilities": [0.06700896400077552, 0.9297460623247052], "optimization_time": 29.158674955368042} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[3];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
ry(-0.4578) q[1];
cry(0.497) q[3], q[0];
cry(-0.3761) q[3], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
fdfbddd83ad5e4b88801b3192987124e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.832835630503652, "params": [[[0.0036000000000000003, 0.4863], [0.0049, 0.1658], [0.0024000000000000002, 0.5959], [0.0027, 0.4466], [0.0027, 0.5211], [0.0027, 0.6059], [0.8099000000000001, 0.0037]], [[0.0036000000000000003, 0.0055000000000000005], [-0.0006000000000000001, 0.001... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0036) q[0];
rz(0.4863) q[0];
rx(0.0049) q[1];
rz(0.1658) q[1];
rx(0.0024) q[2];
rz(0.5959) q[2];
rx(0.0027) q[3];
rz(0.4466) q[3];
rx(0.0027) q[4];
rz(0.5211) q[4];
rx(0.0027) q[5];
rz(0.6059) q[5];
rx(0.8099) q[6];
rz(0.0037) q[6];
rx(0.0036) q[0];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 33.68189358711243} | -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 | 2 | {"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];
cry(1.57) q[3], q[4];
ry(0.845) q[3];
ry(0.4428) q[4];
cry(0.5798) q[4], q[3];
cry(1.3016) q[2], q[1];
cry(1.0285) q[4], q[2];
cry(0.6445) q[4], q[1];
cry(1.29) q[4], q[5];
cry(-1.4709) q[5], q[0];
cry(0.1972) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) 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 \"s... |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 6.240332126617432} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.5158) q[3], q[0];
ry(1.048) q[3];
ry(1.4882) q[2];
ry(-0.3463) q[0];
cry(0.3109) q[2], q[3];
cry(-0.2854) q[2], q[0];
cry(0.139) q[1], q[3];
cry(0.0779) q[1], q[2];
cry(-0.0843) q[1], q[0];
cry(-0.0393) q[0], q[3];
c[0] =... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.5158) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [153, 185], "expectation_value": -14.016113590738872, "params": null, "bitstrings": ["101100110", "101000110"], "total_optimization_steps": 73, "probabilities": [0.32580704260615906, 0.335061729627356], "optimization_time": 112.83320331573486} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101110110", "101100110", "101000100", "101000110", "101010100", "101010110"]} | 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(-0.7408) q[6];
cry(-1.5708) q[8], q[0];
ry(-1.5708) q[2];
cry(-0.8008) q[8], q[6];
ry(0.916) q[8];
ry(-0.1369) q[0];
ry(1.5708) q[5];
cry(0.5903) q[5], q[6];
cry(-0.9668) q[3], q[6];
ry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.7408) 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] = ... |
7e48dccbddaeae66a8b916bae852178d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -25.141287626066536, "params": [[[0.0024000000000000002, 1.6113000000000002], [0.002, 0.0019], [0.0019, 0.0021000000000000003], [0.002, 0.002], [0.0029000000000000002, 0.0025], [0.0028, -0.0029000000000000002], [0.0017000000000000001, 0.0024000000000000002], [0.0023, 0.0023], [... | -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + -2.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0024) q[0];
ry(0.002) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0029) q[4];
ry(0.0028) q[5];
ry(0.0017) q[6];
ry(0.0023) q[7];
ry(0.0027) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1... | {"node": 9} | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [16, 0], "expectation_value": -2.5624333346153882, "params": [-0.0057, -0.0649, -0.0032, 0.08270000000000001, -0.0044, 0.0675, 0.0001, -0.0683, -0.0034000000000000002, -0.07690000000000001, -0.0029000000000000002, 0.08660000000000001, -0.0033, 0.0786, -0.0038, 0.042100000000000005, -0.0026000000000000003, -0... | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 18 | 5 | 3 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0057) q[0];
rz(-0.0649) q[0];
rx(-0.0032) q[1];
rz(0.0827) q[1];
rx(-0.0044) q[2];
rz(0.0675) q[2];
rx(0.0001) q[3];
rz(-0.0683) q[3];
rx(-0.0034) q[4];
rz(-0.0769) q[4];
crz(0.0772) q[4], q[0];
crz(0.075) q[3], q[4];
crz(-0.0493) q[2], q[3];
crz(-0.072)... | OPENQASM 3.0;
include "stdgates.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": []} |
eae8cd3fdd6c48bfe81a3803c36d609c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [115, 371], "expectation_value": -19.264499906293928, "params": [[[0.13570000000000002, -0.4375, 0.0017000000000000001, 0.007], [-0.2479, 0.0873, -0.5229, 0.1626], [0.002, 1.5908, 0.0004, -0.7756000000000001], [-0.0036000000000000003, 0.38320000000000004, -0.008, 0.0031000000000000003], [0.0025, 1.1019, 0.00... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 11 | 10 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1357) q[0];
rz(-0.4375) q[0];
ry(-0.2479) q[1];
rz(0.0873) q[1];
ry(0.002) q[2];
rz(1.5908) q[2];
ry(-0.0036) q[3];
rz(0.3832) q[3];
ry(0.0025) q[4];
rz(1.1019) q[4];
ry(0.0018) q[5];
rz(-0.9577) q[5];
ry(0.0025) q[6];
rz(1.6232) q[6];
ry(0.0028) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -14.073440113427013, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 25, "probabilities": [0.16348483599197114, 0.8147018804492054], "optimization_time": 32.56518268585205} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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];
cry(-1.5708) q[8], q[0];
ry(1.1165) q[8];
ry(-0.4736) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.5615) q[6];
ry(-1.5708) q[7];
ry(-1.5707) q[2];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.5708) q[8], 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... |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [3, 12], "expectation_value": -0.25664102712614484, "params": [[-0.0815, -0.07740000000000001], [0.0777, 0.07590000000000001]], "bitstrings": ["11100", "10011"], "total_optimization_steps": 10, "probabilities": [0.03936793121977317, 0.039367931219773174], "optimization_time": 1.8123042583465576} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0815) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0815) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0815) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0815) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0815) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];... | null | {"circuits": [], "gradients": []} |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.607674443742947, "params": [[0.0689], [-0.0665]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005503407353419531, 0.005515901004083517], "optimization_time": 4.625888824462891} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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[1], q[0];
rz(-0.0345) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(-0.1033) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.1723) q[7];
cx q[0], q[7];
cx q[1], q[5];
rz(-0.1378) q[5];
cx q[1], q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a5be6d683ea810f6d18d0295779133be | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [511, 255], "expectation_value": -30.59749976225058, "params": [[[-0.0017000000000000001, -0.0027], [0.0023, 0.0022], [-1.5701, 1.5759], [0.0023, 1.5718], [0.0022, -0.002], [-0.0029000000000000002, -0.0026000000000000003], [0.002, -0.0024000000000000002], [-0.0023, -0.002], [-0.002, 0.0018000000000000002], [... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["11100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0017) q[0];
ry(0.0023) q[1];
ry(-1.5701) q[2];
ry(0.0023) q[3];
ry(0.0022) q[4];
ry(-0.0029) q[5];
ry(0.002) q[6];
ry(-0.0023) q[7];
ry(-0.002) q[8];
ry(1.6436) q[9];
ry(-0.0027) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
dc79b1d1506b238352b546bee89b4fcb | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 63], "expectation_value": -12.341690326219016, "params": [0.279, 2.4968, 0.06570000000000001, 0.0049, 0.0024000000000000002, 1.2979, -0.002, 0.0077, -0.0028, 1.4698, -0.0024000000000000002, 0.0051, -1.1014000000000002, 1.9701000000000002, -0.1452, 0.0094, -1.1064, 0.7158, 0.3547, 0.0001, -1.1027, 0.6101,... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.279) q[0];
rz(2.4968) q[0];
rx(0.0024) q[1];
rz(1.2979) q[1];
rx(-0.0028) q[2];
rz(1.4698) q[2];
rx(-1.1014) q[3];
rz(1.9701) q[3];
rx(-1.1064) q[4];
rz(0.7158) q[4];
rx(-1.1027) q[5];
rz(0.6101) q[5];
rx(-0.7375) q[6];
rz(0.5581) q[6];
rx(-0.3435) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
fadbf4becdcb820e45aa8c382a4bc97a | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43606, 43605], "expectation_value": -2.015329281168404, "params": [0.38120000000000004, 0.3937, 0.0132, -0.0149, -1.2205000000000001, -1.1388, 0.29600000000000004, 0.305, 0.3915, 0.3912, 0.0035, -0.0131, 0.3926, 0.3899, -0.0219, 0.0223, 0.012700000000000001, 0.0012000000000000001, 0.38920000000000005, 0.384... | 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... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.021045918367329], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672667, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.3812) q[0];
ry(0.0132) q[1];
ry(-1.2205) q[2];
ry(0.296) q[3];
ry(0.3915) q[4];
ry(0.0035) q[5];
ry(0.3926) q[6];
ry(-0.0219) q[7];
ry(0.0127) q[8];
ry(0.3892) q[9];
ry(-0.001) q[10];
ry(0.3916) q[11];
ry(-0.0056) q[12];
ry(0.3902) q[13];
ry(0.3899) 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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-7580555022610608366 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [1, 2, 3, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 4, 6]]} | {"states": [63, 123], "expectation_value": -0.5674414543088108, "params": [[-0.38380000000000003], [0.3799]], "bitstrings": ["11000000", "10000100"], "total_optimization_steps": 40, "probabilities": [0.008215267309484712, 0.008215267309484712], "optimization_time": 1.81693696975708} | 0.05 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2833333333333334, -1.2833333333333334, -1.2833333333333334, -1.2833333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2000000000000006, "smallest_bitstrings": ["11000000", "01001001", "10000100", "00001101"]} | 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(-0.0384) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1023) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1023) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.2303) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
852e5560d0cbc49d98025b68fdf4272e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "ta... | {"states": [60, 63], "expectation_value": -9.094160024400622, "params": null, "bitstrings": ["1000011", "1000000"], "total_optimization_steps": 68, "probabilities": [0.10807869726750703, 0.5580762505203761], "optimization_time": 59.737316370010376} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5706) q[3], q[4];
cry(1.5708) q[4], q[1];
cry(1.5689) q[1], q[2];
cry(1.2087) q[1], q[3];
cry(-0.6314) q[1], q[4];
cry(-0.0377) q[2], q[4];
ry(-0.1321) q[4];
cry(1.2013) q[6], q[4];
cry(0.6007) q[5]... | null | {"node": 1} | {"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(1.5706) 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] = measure q[6]... |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [22, 7], "expectation_value": -1.3675016486983065, "params": [[0.0091, -0.0341, 0.0325], [-0.033100000000000004, 0.0309, -0.0176]], "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.0085705306100477, 0.0086915224723428], "optimization_time": 5.95832371711731} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.041) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.041) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.041) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.041) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -2.3757403895644265, "params": [[0.0475, -0.0164, 0.0171, -0.0609], [-0.061900000000000004, -0.0143, -0.0431, 0.028200000000000003]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007267292477210824, 0.007925224761011315], "optimizati... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0475) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0713) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1425) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.095) q[5];
cx q[1], q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1370, 1386], "expectation_value": -1.507601982067353, "params": [0.1621, 0.10740000000000001, 0.3921, 0.397, 0.0037, 0.0098, 0.3881, 0.3975, 0.0044, -0.0106, 0.39490000000000003, 0.39590000000000003, 0.7659, 0.7609, 0.3438, 0.3532, 0.3922, 0.40140000000000003, 0.017400000000000002, 0.0128, 0.6599, 0.623, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 13 | 12 | 4 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1621) q[0];
ry(0.3921) q[1];
ry(0.0037) q[2];
ry(0.3881) q[3];
ry(0.0044) q[4];
ry(0.3949) q[5];
ry(0.7659) q[6];
ry(0.3438) q[7];
ry(0.3922) q[8];
ry(0.0174) q[9];
ry(0.6599) q[10];
ry(0.386) q[11];
crz(-0.4963) q[11], q[0];
crz(0.5566) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
bce5ca5986693901af184e18507446b4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.53229158130028, "params": [-0.0022, 0.1042, 0.0028, -0.2962, 0.0032, 0.31370000000000003, 0.0006000000000000001, 0.31220000000000003, 0.0036000000000000003, 0.31070000000000003, 0.0014, 0.311, 0.3155, -0.07540000000000001, 0.4033, 0.006, 0.0064, 0.2059, 0.0027, -0.29960000000... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0022) q[0];
rz(0.1042) q[0];
rx(0.0028) q[1];
rz(-0.2962) q[1];
rx(0.0032) q[2];
rz(0.3137) q[2];
rx(0.0006) q[3];
rz(0.3122) q[3];
rx(0.0036) q[4];
rz(0.3107) q[4];
rx(0.0014) q[5];
rz(0.311) q[5];
rx(0.3155) q[6];
rz(-0.0754) q[6];
rx(0.4033) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-3581660663551200859 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [2, 3, 4, 5, 7], [2, 4, 5, 6], [6, 7], [0, 1, 2, 3, 5, 6], [0, 1, 2, 4, 6]]} | {"states": [109, 237], "expectation_value": -1.493016710884079, "params": [0.8727, 0.22260000000000002, 0.871, 0.0043, 1.0778, -0.0078000000000000005, 1.1718, 0.0198, 1.5656, -0.0018000000000000002, 1.5722, 0.0045000000000000005, 1.8937000000000002, 0.7744000000000001, 1.8980000000000001, 0.7836000000000001, 1.57300000... | 0.16666666666666669 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (... | 8 | 8 | 1 | {"smallest_eigenvalues": [-1.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5999999999999994, "smallest_bitstrings": ["00010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8727) q[0];
rz(0.2226) q[0];
rx(1.0778) q[1];
rz(-0.0078) q[1];
rx(1.5656) q[2];
rz(-0.0018) q[2];
rx(1.8937) q[3];
rz(0.7744) q[3];
rx(1.573) q[4];
rz(-0.0032) q[4];
rx(1.5711) q[5];
rz(-0.0037) q[5];
rx(0.2819) q[6];
rz(-0.0037) q[6];
rx(1.7992) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a6ea63ce7afda0458cb5e7d5c63027a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [127, 63], "expectation_value": -1.130467720608935, "params": [[0.061500000000000006, 0.0333, 0.0648], [-0.0649, -0.025400000000000002, -0.0473]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013970907471624794, 0.015252365829236133], "optimization_time": 4.423182... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0308) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0308) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.0615) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(-0.0923) q[5];
cx q[2], q[5];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-7161176897132511749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 2, 4], [0, 1, 5]]} | {"states": [54, 45], "expectation_value": -0.41474996102243533, "params": [[0.46], [-0.4434]], "bitstrings": ["001001", "010010"], "total_optimization_steps": 50, "probabilities": [0.03260615466031978, 0.0326061546603198], "optimization_time": 1.5865960121154785} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(0.1533) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.1533) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.1533) q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(0.1533) q[0];
cx q[4], q[0];
cx q[5], q[0];
rz(0.1533... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
7913947214077355164 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 5], [0, 1, 2, 4, 7, 10, 11], [10, 3, 4, 5], [11, 6], [9, 5], [8, 4]]} | {"states": [1795, 3324], "expectation_value": -1.7230736799891626, "params": [[[1.5733000000000001, 3.2663], [-1.5681, 1.5735000000000001], [-0.0028, 1.5734000000000001], [-0.0023, 0.0028], [-1.5683, 1.5793000000000001], [-0.0024000000000000002, 1.5674000000000001], [-0.0023, 0.0023], [0.4177, 0.4133], [1.5737, 1.5682]... | 0.16666666666666666 * (Z(10) @ Z(5)) + 0.25 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-2.2738095238095246], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2738095238095237, "smallest_bitstrings": ["001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5733) q[0];
ry(-1.5681) q[1];
ry(-0.0028) q[2];
ry(-0.0023) q[3];
ry(-1.5683) q[4];
ry(-0.0024) q[5];
ry(-0.0023) q[6];
ry(0.4177) q[7];
ry(1.5737) q[8];
ry(1.5685) q[9];
ry(-1.5684) q[10];
ry(1.5733) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
de837449b9b1ac221f958aa18f8b69de | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [7, 103], "expectation_value": -6.14334453131715, "params": null, "bitstrings": ["1111000", "0011000"], "total_optimization_steps": 33, "probabilities": [0.18747057642908224, 0.5608432457235176], "optimization_time": 18.637831449508667} | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"]} | 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(1.5681) q[6], q[5];
cry(1.231) q[5], q[6];
cry(1.57) q[5], q[4];
ry(-1.5681) q[3];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[2];
ry(-0.1099) q[4];
cry(0.1106) q[6], q[4];
cry(-0.10... | null | {"node": 3} | {"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(1.5681) q[6], 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]... |
d2afe27b0de0de0693309013bd4cb7f6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [159, 115], "expectation_value": -31.07311390791784, "params": null, "bitstrings": ["01100000", "10001100"], "total_optimization_steps": 100, "probabilities": [0.13685654008494053, 0.17358932876943156], "optimization_time": 173.05750942230225} | 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(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[3];
ry(-1.7434) q[7];
ry(-15.7211) q[6];
ry(-2.5454) q[1];
ry(2.762) q[5];
cry(0.6249) q[3], q[6];
cry(-3.05) q[3], q[5];
cry(33.2132) q[3], q[1];
ry(-0.5348) q[2];
ry(1.3511) q[0];
c... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) 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[... |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.5815653302237969, "params": [[[0.2847, 0.26330000000000003], [0.8023, 0.0039000000000000003], [0.0029000000000000002, 0.5603], [0.0023, 0.4388], [0.8088000000000001, 0.004]], [[0.28850000000000003, 0.001], [0.8104, 0.0047], [0.0029000000000000002, 0.006], [0.002900000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.2847) q[0];
rz(0.2633) q[0];
rx(0.8023) q[1];
rz(0.0039) q[1];
rx(0.0029) q[2];
rz(0.5603) q[2];
rx(0.0023) q[3];
rz(0.4388) q[3];
rx(0.8088) q[4];
rz(0.004) q[4];
rx(0.2885) q[0];
rz(0.001) q[0];
rx(0.8104) q[1];
rz(0.0047) q[1];
rx(0.0029) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
1862786337322034882 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 3], [2, 4], [0, 5], [1, 5]]} | {"states": [56, 54], "expectation_value": -0.551395734409837, "params": [[-0.3597], [0.3682]], "bitstrings": ["000111", "001001"], "total_optimization_steps": 40, "probabilities": [0.0401884959905371, 0.04028906827314596], "optimization_time": 1.9793522357940674} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001001", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.06) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.06) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.06) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.06) 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
a33d8bdcf7e6f27943edb67db9816bff | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 3, "target": 4},... | {"states": [2047, 1535], "expectation_value": -37.79057895987947, "params": [[[-0.0022, 2.698], [1.6637000000000002, 0.0024000000000000002], [0.0022, -0.0025], [-0.0034000000000000002, -0.0024000000000000002], [0.0019, -0.0022], [-0.0029000000000000002, -0.0023], [0.0019, -0.0026000000000000003], [-0.0027, -0.0025], [-... | 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(8)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(9)) + -3.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-39.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.5, "smallest_bitstrings": ["01000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0022) q[0];
ry(1.6637) q[1];
ry(0.0022) q[2];
ry(-0.0034) q[3];
ry(0.0019) q[4];
ry(-0.0029) q[5];
ry(0.0019) q[6];
ry(-0.0027) q[7];
ry(-0.0028) q[8];
ry(-0.0027) q[9];
ry(-0.0022) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"node": 0} | {"circuits": [], "gradients": []} |
bf418bbdd12410e98878889c04d4a570 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [26, 58], "expectation_value": -3.1386091648202616, "params": [[[0.021400000000000002, 0.2306], [0.0028, 0.2376], [0.4874, 0.0007], [0.5057, -0.0032], [0.4928, 0.0016], [0.0829, -0.2051], [0.5029, -0.0001], [0.2967, 0.0918]], [[0.0162, 0.23040000000000002], [0.0038, 0.23750000000000002], [0.4933, 0.000300000... | 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(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) + 0.0 * Z(7) | 1 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0214) q[0];
rz(0.2306) q[0];
rx(0.0028) q[1];
rz(0.2376) q[1];
rx(0.4874) q[2];
rz(0.0007) q[2];
rx(0.5057) q[3];
rz(-0.0032) q[3];
rx(0.4928) q[4];
rz(0.0016) q[4];
rx(0.0829) q[5];
rz(-0.2051) q[5];
rx(0.5029) q[6];
rz(-0.0001) q[6];
rx(0.2967) 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": []} |
5184418930193143865 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [1, 4], [3, 7], [3, 5], [0, 2], [2, 7], [0, 7], [5, 7], [2, 4], [2, 5], [4, 5], [3, 6], [8, 1], [0, 4], [2, 3], [2, 6], [4, 7], [8, 2], [3, 4], [1, 2]]} | {"states": [113, 398], "expectation_value": -0.035817083906740696, "params": [[0.0349], [-0.025900000000000003]], "bitstrings": ["110001110", "001110001"], "total_optimization_steps": 10, "probabilities": [0.0020099572058793584, 0.0020099572058793584], "optimization_time": 4.968799352645874} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["110101001", "011100010", "001010110", "110101101", "001110001", "100011101", "110001110", "001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[8];
rz(0.0349) q[8];
cx q[7], q[8];
cx q[8], q[1];
rz(0.0349) q[1];
cx q[8], q[1];
cx q[7], q[4];
rz(0.0349) q[4];
cx q[7], q[4];
cx q[1], q[4];
rz(0.0349) q[4];
cx q[1], 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[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[8], q[1];
rz(x0) q[1];
cx q[8], q[1];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];... | null | {"circuits": [], "gradients": []} |
9645644fcb46d75a104e4de81b9201a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -3.2806163792031966, "params": [[[-0.0041, 0.32330000000000003], [0.0027, 0.5964], [0.0028, 0.5730000000000001], [0.0031000000000000003, 0.4365], [0.0026000000000000003, 0.5825], [0.6025, -0.0], [0.7993, 0.0026000000000000003]], [[-0.0022, 0.0012000000000000001], [0.0027, 0.00180... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0041) q[0];
rz(0.3233) q[0];
rx(0.0027) q[1];
rz(0.5964) q[1];
rx(0.0028) q[2];
rz(0.573) q[2];
rx(0.0031) q[3];
rz(0.4365) q[3];
rx(0.0026) q[4];
rz(0.5825) q[4];
rx(0.6025) q[5];
rz(0) q[5];
rx(0.7993) q[6];
rz(0.0026) q[6];
rx(-0.0022) q[0];
rz(0.0012... | OPENQASM 3.0;
include "stdgates.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": []} |
32b18bb0432cafe090585caeb4620583 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [11, 43], "expectation_value": -4.608260772702847, "params": [-0.0112, 0.29050000000000004, -0.011600000000000001, 0.1608, 0.6051000000000001, 0.0012000000000000001, 0.4959, 0.0011, 0.6062000000000001, 0.0022, 0.3753, 0.003, 0.6, 0.003, 0.604, 0.00030000000000000003, -0.0137, 0.28650000000000003, -0.01300000... | 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(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.5 * Z(3) + -... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0112) q[0];
rz(0.2905) q[0];
rx(-0.0116) q[1];
rz(0.1608) q[1];
rx(0.6051) q[2];
rz(0.0012) q[2];
rx(0.4959) q[3];
rz(0.0011) q[3];
rx(0.6062) q[4];
rz(0.0022) q[4];
rx(0.3753) q[5];
rz(0.003) q[5];
rx(0.6) q[6];
rz(0.003) q[6];
rx(0.604) q[7];
rz(0.0003... | OPENQASM 3.0;
include "stdgates.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": []} |
df48455e191cab92443ea964cfd0418f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [190, 186], "expectation_value": -64.13571494676567, "params": [0.3733, -0.0882, 0.9959, -0.0505, 0.3512, -0.3929, 0.9878, -0.0548, 0.7583000000000001, -0.0221, 0.9854, 0.2233, 0.562, 0.34800000000000003, 0.9902000000000001, -0.06330000000000001, 0.3083, 0.3698, 0.38170000000000004, -0.11860000000000001, 0.9... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3733) q[0];
rz(-0.0882) q[0];
rx(0.9959) q[1];
rz(-0.0505) q[1];
rx(0.3512) q[2];
rz(-0.3929) q[2];
rx(0.9878) q[3];
rz(-0.0548) q[3];
rx(0.7583) q[4];
rz(-0.0221) q[4];
rx(0.9854) q[5];
rz(0.2233) q[5];
rx(0.562) q[6];
rz(0.348) q[6];
rx(0.9902) 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
9f4fad3f8d0f2c66a7d6c3c469d40724 | 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": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [0, 3], "expectation_value": -21.02978947754085, "params": [[[0.002, 0.0022], [0.0021000000000000003, 0.0022], [-0.003, 0.0022], [0.002, 0.0023], [0.0022, 0.0022], [0.0026000000000000003, 0.0026000000000000003], [0.002, 1.6008]]], "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 160, "probab... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(2) @ Z(4)) + 1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -2.5 * Z(1) + 1.5 * Z(0) + -2.5 * Z(4) + -2.0 * Z(2) + -2.0 * Z(3) + 0.... | 15 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.002) q[0];
ry(0.0021) q[1];
ry(-0.003) q[2];
ry(0.002) q[3];
ry(0.0022) q[4];
ry(0.0026) q[5];
ry(0.002) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0022) q[0];
ry(0.0022) q[1];
ry(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[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry(x0) q[6];
cx q[6], q[0];
cx q[5], q[6];... | {"node": 3} | {"circuits": [], "gradients": []} |
24dd029d08c4f4c30bd0035bbc602db0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [16, 17], "expectation_value": -2.380195098325927, "params": [[[-0.0027, 0.0037], [-0.0023, 0.006900000000000001], [1.7043000000000001, 0.003], [-0.0022, 0.0081], [1.5195, 0.0008], [-0.0026000000000000003, 0.0037], [1.6149, 0.006900000000000001]]], "bitstrings": ["1101111", "1101110"], "total_optimization_st... | 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)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(2) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1101110", "1101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0027) q[0];
rz(0.0037) q[0];
rx(-0.0023) q[1];
rz(0.0069) q[1];
rx(1.7043) q[2];
rz(0.003) q[2];
rx(-0.0022) q[3];
rz(0.0081) q[3];
rx(1.5195) q[4];
rz(0.0008) q[4];
rx(-0.0026) q[5];
rz(0.0037) q[5];
rx(1.6149) q[6];
rz(0.0069) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
-9077057589278498154 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5], [9, 5], [4, 6, 7], [9, 11, 6], [2, 3, 7, 9, 10, 11], [1, 2, 5, 8, 10, 11], [8, 1, 3, 4], [0, 1], [0, 7, 8, 9, 11], [1, 7], [0, 2, 3, 6, 8, 10], [0, 10, 4], [0, 3, 6, 9, 10], [3, 11, 6, 7]]} | {"states": [3047, 2535], "expectation_value": -2.664035224273609, "params": [[[2.801, 0.0073], [0.781, 0.0039000000000000003], [1.5627, 0.0048000000000000004], [1.5862, 0.0039000000000000003], [2.8032, 0.0059], [2.7936, 0.0041], [2.7892, 0.0076], [0.8348, 0.0012000000000000001], [1.4193, 0.0046], [2.7939000000000003, 0... | 0.11666666666666667 * (Z(1) @ Z(4)) + 0.15 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.03333333333333333 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(7)) + 0.0833... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8, "smallest_bitstrings": ["011000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.801) q[0];
rz(0.0073) q[0];
rx(0.781) q[1];
rz(0.0039) q[1];
rx(1.5627) q[2];
rz(0.0048) q[2];
rx(1.5862) q[3];
rz(0.0039) q[3];
rx(2.8032) q[4];
rz(0.0059) q[4];
rx(2.7936) q[5];
rz(0.0041) q[5];
rx(2.7892) q[6];
rz(0.0076) q[6];
rx(0.8348) 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": []} |
-3315078513891188780 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [2, 7], [1, 4], [0, 7], [4, 6], [5, 6], [1, 5], [4, 7], [3, 4], [3, 5], [0, 3], [8, 0]]} | {"states": [171, 167], "expectation_value": -5.324302290751889, "params": null, "bitstrings": ["101010100", "101011000"], "total_optimization_steps": 79, "probabilities": [0.03382016940217695, 0.8395261221603086], "optimization_time": 115.60720562934875} | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010100111", "101011000"]} | 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];
cry(-1.0342) q[8], q[4];
cry(-1.0342) q[6], q[5];
ry(1.0293) q[6];
cry(1.4052) q[6], q[1];
cry(-0.9035) q[1], q[5];
cry(1.5176) q[1], q[3];
cry(-0.8573) q[1], q[4];
cry(-1.4299) q[3], q[0]... | 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];\ncry(-1.0342) q[8], 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... |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 33.36577820777893} | -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 | 4 | {"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];
cry(1.57) q[3], q[4];
ry(0.845) q[3];
ry(0.4428) q[4];
cry(0.5798) q[4], q[3];
cry(1.3016) q[2], q[1];
cry(1.0285) q[4], q[2];
cry(0.6445) q[4], q[1];
cry(1.29) q[4], q[5];
cry(-1.4709) q[5], q[0];
cry(0.1972) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) 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 \"s... |
018b12be912e09a2d77e686d7af8fddd | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [192, 196], "expectation_value": -5.255898859889759, "params": [0.4026, 0.00030000000000000003, 0.38970000000000005, -0.012400000000000001, 0.4006, 0.006200000000000001, 0.36310000000000003, 0.0936, 0.0505, -0.1003, 0.40340000000000004, 0.0008, -0.0058000000000000005, -0.1791, -0.0054, -0.18710000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001011", "00111011", "01011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4026) q[0];
rz(0.0003) q[0];
rx(0.3897) q[1];
rz(-0.0124) q[1];
rx(0.4006) q[2];
rz(0.0062) q[2];
rx(0.3631) q[3];
rz(0.0936) q[3];
rx(0.0505) q[4];
rz(-0.1003) q[4];
rx(0.4034) q[5];
rz(0.0008) q[5];
rx(-0.0058) q[6];
rz(-0.1791) q[6];
rx(-0.0054) 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": []} |
bd0ac9f3716c814ad09940fdc2eb3528 | 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": [411, 395], "expectation_value": -63.828892190262415, "params": [0.0031000000000000003, 0.0027, 2.6021, 0.009600000000000001, 2.5966, 0.0027, 1.2823, 0.0077, -0.0021000000000000003, 0.0014, 1.5475, 0.008700000000000001, 2.5989, 0.0043, -0.003, 0.0058000000000000005, 2.5989, 0.0094, 2.5974, 0.006, 0.0089, 0.0... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(6)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(4) @ Z(9)) + 4.5 * Z(3) + 15.5 * Z(2) + 23.0 * Z(1) + 7.5 * Z(6) + -3.0 * Z(0) + 9.0 * Z(5) + -4.0 * Z(7) + 6.5 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1001110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0031) q[0];
rz(0.0027) q[0];
rx(2.6021) q[1];
rz(0.0096) q[1];
rx(2.5966) q[2];
rz(0.0027) q[2];
rx(1.2823) q[3];
rz(0.0077) q[3];
rx(-0.0021) q[4];
rz(0.0014) q[4];
rx(1.5475) q[5];
rz(0.0087) q[5];
rx(2.5989) q[6];
rz(0.0043) q[6];
rx(-0.003) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
4620350738221871797 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [2, 5, 6], [8, 2, 3, 4], [0, 1, 3], [8, 2, 3, 5], [0, 4, 6, 7], [8, 3, 7], [0, 3, 4, 6], [0, 8, 7], [0, 1, 7], [8, 2, 4, 5], [8, 1], [8, 4, 5, 7], [0, 5], [1, 5], [0, 1, 2, 4], [3, 5, 6], [2, 3, 6, 7]]} | {"states": [190, 250], "expectation_value": -2.4391180432012467, "params": [[-0.3461], [0.35760000000000003]], "bitstrings": ["101000001", "100000101"], "total_optimization_steps": 40, "probabilities": [0.010089446921078007, 0.0109515603860862], "optimization_time": 30.376452207565308} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.1731) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2884) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2307) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(-0.2307) q[5];
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] 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... | null | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -4.443490697852628, "params": [[0.0329, -0.010700000000000001, -0.0683], [-0.047, -0.0402, 0.0521]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011435629854753809, 0.011630164917771822], "optimization_time": 8.012932062149048} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (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 ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.148) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.148) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.148) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.148) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
a580428593ca2a54e0f078f27f8703fa | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -1.5916099529792258, "params": [[-0.0429, -0.049, -0.0614], [0.0546, 0.0534, 0.0613]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007834549976359633, 0.008421210615717154], "optimization_time": 4.319587230682373} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0215) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(0.0215) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.0429) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.0215) q[1];
cx q[2], q[1];
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": []} |
8f0f69e8e4c3be9f2fb2fd4c4be15a57 | 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": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [330, 458], "expectation_value": -5.305538941075214, "params": [[[1.1009, -0.0026000000000000003, 0.0089, 0.0002], [0.1126, -0.45480000000000004, -0.1087, 0.006200000000000001], [1.1025, 0.0009000000000000001, 0.0037, 0.0017000000000000001], [0.0004, -0.6679, -0.0008, 0.008400000000000001], [0.62330000000000... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(1) + -2.0 * Z(6) + -0.5 * Z(... | 12 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["000101101", "000110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1009) q[0];
rz(-0.0026) q[0];
ry(0.1126) q[1];
rz(-0.4548) q[1];
ry(1.1025) q[2];
rz(0.0009) q[2];
ry(0.0004) q[3];
rz(-0.6679) q[3];
ry(0.6233) q[4];
rz(0.0008) q[4];
ry(0.5823) q[5];
rz(0.0054) q[5];
ry(-0.0014) q[6];
rz(-0.0048) q[6];
ry(0.5551) 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": []} |
c0298473ff578e743a7bebe70d7bc35e | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 60], "expectation_value": -2.039487825247634, "params": [0.1366, 0.0041, 1.6033000000000002, 0.0077, 1.6071, 0.0057, 1.5938, 0.006200000000000001, 1.6094000000000002, 0.006200000000000001, 1.3291000000000002, 0.0068000000000000005, 0.1359, 0.0044, 0.007, 0.0006000000000000001, 0.0067, 0.0067, 0.00210000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1366) q[0];
rz(0.0041) q[0];
rx(1.6033) q[1];
rz(0.0077) q[1];
rx(1.6071) q[2];
rz(0.0057) q[2];
rx(1.5938) q[3];
rz(0.0062) q[3];
rx(1.6094) q[4];
rz(0.0062) q[4];
rx(1.3291) q[5];
rz(0.0068) q[5];
rx(0.1359) q[6];
rz(0.0044) q[6];
crz(0.0013) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [1511, 2023], "expectation_value": -9.416524909586116, "params": [-0.1111, 1.8011000000000001, -0.7367, 0.0055000000000000005, -0.8031, 0.7484000000000001, 0.7196, 0.0002, -0.8614, 0.5810000000000001, 0.5962000000000001, 0.0056, -0.937, 0.8692000000000001, -0.48660000000000003, 0.009600000000000001, -0.9181,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(4) + 1.0 * Z(6) +... | 6 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.1111) q[0];
rz(1.8011) q[0];
rx(-0.8031) q[1];
rz(0.7484) q[1];
rx(-0.8614) q[2];
rz(0.581) q[2];
rx(-0.937) q[3];
rz(0.8692) q[3];
rx(-0.9181) q[4];
rz(1.0633) q[4];
rx(-0.7805) q[5];
rz(1.0198) q[5];
rx(-1.0878) q[6];
rz(0.6564) q[6];
rx(0.0055) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
1186103e935f6770b36dcaf31ab8cdf7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [97, 42], "expectation_value": -1.7768103586547859, "params": [[-0.056400000000000006, -0.028300000000000002, -0.0363, -0.0752], [0.08120000000000001, 0.0533, 0.0379, 0.0631]], "bitstrings": ["0011110", "1010101"], "total_optimization_steps": 10, "probabilities": [0.015070593974222456, 0.015749869337068047],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011101", "0011110", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0564) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0564) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0564) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0564) q[4];
cx q[2], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eb345381d3cbaf0ef587b20d1aa30940 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -73.21183058070983, "params": [0.16160000000000002, -0.1449, 0.1689, -0.1457, 0.3906, -0.0347, 0.3896, -0.027800000000000002, 0.3947, 0.0061, 0.3945, 0.0066, 0.39380000000000004, 0.0068000000000000005, 0.38930000000000003, 0.0019, -0.0154, 0.2033, -0.0097, 0.2061, 0.388, 0.01... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 17.5 * Z(2) + 7.0 * Z(0) + 12.5 * ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["1000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1616) q[0];
rz(-0.1449) q[0];
rx(0.3906) q[1];
rz(-0.0347) q[1];
rx(0.3947) q[2];
rz(0.0061) q[2];
rx(0.3938) q[3];
rz(0.0068) q[3];
rx(-0.0154) q[4];
rz(0.2033) q[4];
rx(0.388) q[5];
rz(0.0145) q[5];
rx(0.0061) q[6];
rz(0.1892) q[6];
rx(0.1646) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 80.33456444740295} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[2];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.8231) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8108) q[4];
ry(-0.4168) q[2];
ry(-0.3308) q[1];
cry(-0.3226) q[5], q[0];
cry(0.3922) q[5], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.604685652436778, "params": [0.00030000000000000003, -0.17850000000000002, -0.002, -0.2124, -0.0047, -0.192, -0.0015, -0.2187, -0.006200000000000001, -0.1773, -0.0005, -0.21380000000000002, -0.0029000000000000002, -0.2233, -0.0046, -0.2167, 0.0015, -0.1892, -0.0049, -0.2248, -0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0003) q[0];
rz(-0.1785) q[0];
rx(-0.0047) q[1];
rz(-0.192) q[1];
rx(-0.0062) q[2];
rz(-0.1773) q[2];
rx(-0.0029) q[3];
rz(-0.2233) q[3];
rx(0.0015) q[4];
rz(-0.1892) q[4];
rx(-0.0017) q[5];
rz(-0.2307) q[5];
rx(-0.0038) q[6];
rz(-0.2153) q[6];
rx(-0.003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3aa10d162eda3c9ca8f6ec83f6012eb4 | matching | vqe | {"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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [125, 109], "expectation_value": -56.067389349150254, "params": [0.3501, 0.49810000000000004, 0.9016000000000001, 0.0071, 0.8962, 0.0665, 0.49820000000000003, 0.2041, 0.8968, -0.0006000000000000001, 0.8992, 0.1192, 0.27890000000000004, 0.48700000000000004, 0.9054000000000001, 0.099, 0.3391, 0.410000000000000... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 2.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(2) + 14.0 * Z(5) + 7.5 * Z(3) + 18.5 * Z(4)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3501) q[0];
rz(0.4981) q[0];
rx(0.9016) q[1];
rz(0.0071) q[1];
rx(0.8962) q[2];
rz(0.0665) q[2];
rx(0.4982) q[3];
rz(0.2041) q[3];
rx(0.8968) q[4];
rz(-0.0006) q[4];
rx(0.8992) q[5];
rz(0.1192) q[5];
rx(0.2789) q[6];
rz(0.487) q[6];
rx(0.9054) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [238, 245], "expectation_value": -0.7832578581883213, "params": [[0.0722, 0.0682], [-0.061500000000000006, -0.0538]], "bitstrings": ["100010001", "100001010"], "total_optimization_steps": 10, "probabilities": [0.0029307314142604053, 0.0029307314142604053], "optimization_time": 4.2757110595703125} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 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;
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(0.0722) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0722) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0722) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0722) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
5e7964b8471c661cab4557e1a3bf343c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [1655, 2039], "expectation_value": -17.096212440316254, "params": null, "bitstrings": ["00110001000", "00000001000"], "total_optimization_steps": 100, "probabilities": [0.1272969117813681, 0.41549170695872356], "optimization_time": 209.37435579299927} | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001000"]} | 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];
cry(1.5708) q[4], q[5];
cry(1.5708) q[5], q[1];
cry(1.2796) q[1], q[0];
cry(1.1942) q[1], q[4];
cry(1.5709) q[0], q[6];
cry(-0.6478) q[1], q[5];
ry(-0.2204) q[5];
cry(0.... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5708) q[4], 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[... |
-1466805811598543234 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 6, 8], [2, 4, 6, 7, 8], [1, 2, 4, 5], [3, 5], [8, 2, 5, 7], [0, 1, 2, 5, 7], [0, 1, 4, 7], [0, 1, 5, 8, 9]]} | {"states": [831, 319], "expectation_value": -1.3508512902059127, "params": [1.1480000000000001, 0.7253000000000001, 2.0006, -0.5940000000000001, 1.1836, 0.6034, 0.5781000000000001, -0.8977, 1.1395, -0.5894, 1.9861000000000002, -0.0039000000000000003, 1.9879, -0.0022, 1.9861000000000002, -0.0027, 1.9967000000000001, 0.0... | 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.1 * (Z(8) @ Z(4)) + 0.1 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7... | 4 | 10 | 1 | {"smallest_eigenvalues": [-2.0500000000000003, -2.0500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.05, "smallest_bitstrings": ["1011000000", "1011000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.148) q[0];
rz(0.7253) q[0];
rx(2.0006) q[1];
rz(-0.594) q[1];
rx(1.1836) q[2];
rz(0.6034) q[2];
rx(0.5781) q[3];
rz(-0.8977) q[3];
rx(1.1395) q[4];
rz(-0.5894) q[4];
rx(1.9861) q[5];
rz(-0.0039) q[5];
rx(1.9879) q[6];
rz(-0.0022) q[6];
rx(1.9861) 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": []} |
44db6493095286b918fb0c5bac33de1d | 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": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -19.332516796572953, "params": [[0.0393, 0.0055000000000000005], [-0.08710000000000001, -0.0669]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013294753361460063, 0.014266701937021538], "optimization_time": 2.989703893661499} | 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(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(0.3537) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.3537) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.3537) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.3537) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
4576a050b5d78ad2d1585e29e03df8f4 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [201, 217], "expectation_value": -6.23232673223351, "params": [[0.0022, 0.8602000000000001, 0.8331000000000001, -0.0014, 0.8378, 0.8565, 0.0019, 0.0028, 1.4012], [-0.002, 1.4034, 1.4107, -0.0015, 1.4068, 1.4016, 0.0017000000000000001, 0.0028, 1.3989]], "bitstrings": ["100110110", "100100110"], "total_optimiz... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0022) q[0];
ry(0.8602) q[1];
ry(0.8331) q[2];
ry(-0.0014) q[3];
ry(0.8378) q[4];
ry(0.8565) q[5];
ry(0.0019) q[6];
ry(0.0028) q[7];
ry(1.4012) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.09054373865463788, "params": [[0.0594], [-0.055400000000000005]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.01706254752171466, 0.01707242631951903], "optimization_time": 1.6349561214447021} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "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[4], q[0];
rz(0.0594) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0594) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0594) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0594) q[3];
cx q[1], q[3];
cx q[4], q[5];
rz(0.0594... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
-6009607352826141625 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [2, 5, 7], [2, 3, 6], [1, 4, 5], [0, 3, 5], [0, 2], [1, 2, 5], [0, 1, 5, 6], [1, 2, 4, 6], [2, 4, 5], [0, 1, 3, 4], [1, 3, 4, 6], [1, 3, 5, 7]]} | {"states": [117, 118], "expectation_value": -3.398218932447881, "params": null, "bitstrings": ["10001010", "10001001"], "total_optimization_steps": 53, "probabilities": [0.07732710560273481, 0.7861331629248633], "optimization_time": 84.4536395072937} | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5696) q[5];
ry(1.4074) q[3];
cry(-1.1369) q[2], q[0];
ry(0.9302) q[2];
cry(-1.216) q[6], q[7];
ry(0.8799) q[6];
ry(-0.6657) q[0];
cry(-0.5931) q[5], q[7];
cry(0.4883) q[5], q[6];
cry(0.4473) ... | 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];\nry(1.5696) 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[... |
373269d392ffd2ce9604500acb279af6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [0, 93], "expectation_value": -2.249003086224343, "params": [0.6055, 0.0066, 0.38770000000000004, 0.0077, 0.19410000000000002, 0.0106, 0.2716, 0.0022, 0.6026, -0.0049, 0.598, 0.0086, 0.6084, 0.0073, 0.5820000000000001, 0.0, 0.604, 0.0007, 0.6022000000000001, 0.0067, 0.6015, -0.0038, 0.5974, 0.0064, 0.6106, -... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(3) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(7) + -0.5 * Z(2) + -1.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(5) + -0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000100", "110000110", "010110010", "110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6055) q[0];
rz(0.0066) q[0];
rx(0.1941) q[1];
rz(0.0106) q[1];
rx(0.6026) q[2];
rz(-0.0049) q[2];
rx(0.6084) q[3];
rz(0.0073) q[3];
rx(0.604) q[4];
rz(0.0007) q[4];
rx(0.6015) q[5];
rz(-0.0038) q[5];
rx(0.6106) q[6];
rz(-0.0052) q[6];
rx(0.6028) 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": []} |
66b128262b8b8ee59605a98d8b63bbdd | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -0.5668478268364773, "params": [[-0.040100000000000004], [0.0424]], "bitstrings": ["1111111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.009390018029768465, 0.009576873106450744], "optimization_time": 1.5354602336883545} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 5 | 7 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1203) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1203) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0401) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.2005) q[3];
cx q[5], q[3];
cx q[5], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"node": 7} | {"circuits": [], "gradients": []} |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -2.8006469458530567, "params": [[-0.0616, -0.0697, -0.0785], [0.0727, 0.07150000000000001, 0.0748]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013499013896624296, 0.018752507538026562], "optimization_time": 4.254591226577759} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1232) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0924) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(0.154) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.1232) q[6];
cx q[5], q[6];
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": []} |
8179620907328336256 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 7], [0, 4, 6], [0, 8], [5, 6], [4, 5], [8, 3], [2, 6]]} | {"states": [436, 23], "expectation_value": -3.3189052851804655, "params": null, "bitstrings": ["001001011", "111101000"], "total_optimization_steps": 68, "probabilities": [0.03009143874729815, 0.6888869822399127], "optimization_time": 118.80850625038147} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.16666666666666674 * Z(0)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["111101000"]} | 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];
cry(-1.0342) q[6], q[5];
ry(0.971) q[6];
cry(-1.3758) q[6], q[2];
cry(-0.8029) q[4], q[5];
ry(1.1394) q[4];
ry(-0.3977) q[5];
cry(0.3833) q[4], q[6];
cry(-1.1666) q[8], q[0];
ry(0.743) q[8... | 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];\ncry(-1.0342) q[6], 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... |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.1975989497323976, "params": [[0.0653, 0.0733], [-0.0538, -0.0632]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.03815990060692008, 0.039577481955162516], "optimization_time": 1.719616174697876} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0653) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0653) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0653) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0653) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.0653) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 26], "expectation_value": -4.496515538080942, "params": null, "bitstrings": ["1001101", "1100101"], "total_optimization_steps": 26, "probabilities": [0.0670089808696493, 0.9297460398074207], "optimization_time": 23.893061876296997} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "0100111", "1100101", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[2];
ry(1.4417) q[5];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[3];
ry(-0.4578) q[1];
cry(0.497) q[2], q[3];
cry(-0.3761) q[2], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 200.70044898986816} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 12 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.4201) q[6];
cry(-1.5708) q[7], q[3];
ry(0.9573) q[5];
ry(-0.37... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
6cffe11a862f6465de426e477843dd3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [364, 362], "expectation_value": -1.6467840544965038, "params": [[[0.19010000000000002, -0.0246], [0.1491, -0.0641], [0.39880000000000004, 0.3826], [0.4006, 0.3552], [0.1511, 0.2089], [0.4037, 0.39930000000000004], [0.36210000000000003, 0.4011], [0.40740000000000004, 0.4022], [0.3357, 0.39130000000000004]], ... | 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)) + 0.5 * (Z(0... | 15 | 9 | 4 | {"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": ["010110100", "001011010", "100011010", "010011010", "010010110", "010010101", "010010011", "011010010", "000111100", "000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1901) q[0];
ry(0.1491) q[1];
ry(0.3988) q[2];
ry(0.4006) q[3];
ry(0.1511) q[4];
ry(0.4037) q[5];
ry(0.3621) q[6];
ry(0.4074) q[7];
ry(0.3357) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [124, 122], "expectation_value": -17.72839098906433, "params": [[0.024900000000000002, 0.0196, -0.0327, -0.054200000000000005], [-0.0349, -0.0577, -0.0246, 0.031200000000000002]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010912844412414814, 0.012914756627014... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1992) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1992) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1992) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1992) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -7.758195827757199, "params": [[[0.003, 1.0471000000000001], [0.0027, 1.1593], [0.0026000000000000003, 0.9490000000000001], [0.0026000000000000003, 1.1833], [0.7941, 0.0009000000000000001], [0.0024000000000000002, 1.1818], [1.5809, -0.0033]], [[0.003, 0.0023], [0.0027, 0.0074], [... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.003) q[0];
rz(1.0471) q[0];
rx(0.0027) q[1];
rz(1.1593) q[1];
rx(0.0026) q[2];
rz(0.949) q[2];
rx(0.0026) q[3];
rz(1.1833) q[3];
rx(0.7941) q[4];
rz(0.0009) q[4];
rx(0.0024) q[5];
rz(1.1818) q[5];
rx(1.5809) q[6];
rz(-0.0033) q[6];
rx(0.003) q[0];
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": []} |
1c79f0f3ab411f52384b2206b6163064 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [1023, 1020], "expectation_value": -59.57896360061821, "params": [[[0.0032, 3.1614], [0.0021000000000000003, 0.0019], [0.0019, 0.002], [0.0032, 0.0027], [0.0031000000000000003, -0.003], [0.0021000000000000003, 0.0026000000000000003], [0.0019, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0021000... | -4.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + -4.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["0000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0032) q[0];
ry(0.0021) q[1];
ry(0.0019) q[2];
ry(0.0032) q[3];
ry(0.0031) q[4];
ry(0.0021) q[5];
ry(0.0019) q[6];
ry(0.0024) q[7];
ry(0.0021) q[8];
ry(0.0031) 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] 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] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 10} | {"circuits": [], "gradients": []} |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 23.385794639587402} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[3];
cry(-0.1259) q[3], q[0];
cry(0.1217) q[5], q[1];
cry(0.1216) q[1], q[3];
cry(0.1188) q[1], q[2];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
264fb18a8257049cb1d4e81c11f3c8ea | 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": [1619, 1107], "expectation_value": -102.61113845655532, "params": [0.0016, 0.7281000000000001, 1.1992, 0.1534, 0.7977000000000001, 0.303, -0.0025, 0.8957, 0.0028, 0.7709, 1.2014, 0.0207, 0.0032, 0.7756000000000001, 1.2075, 0.2086, 0.0051, 0.8453, 0.5754, 0.5846, 1.2034, 0.3331, 1.2012, 0.0371, 0.0016, 0.0091... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 6.0 * Z(1) + -6.0 * Z(0) + 10.0 * Z(2) + 16.0 * Z(5) + -7.0 * Z(4) + 6.0... | 16 | 12 | 2 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101110101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0016) q[0];
rz(0.7281) q[0];
rx(1.1992) q[1];
rz(0.1534) q[1];
rx(0.7977) q[2];
rz(0.303) q[2];
rx(-0.0025) q[3];
rz(0.8957) q[3];
rx(0.0028) q[4];
rz(0.7709) q[4];
rx(1.2014) q[5];
rz(0.0207) q[5];
rx(0.0032) q[6];
rz(0.7756) q[6];
rx(1.2075) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [62, 61], "expectation_value": -7.688379011769696, "params": [[-0.0599], [0.06770000000000001]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.013446327189474758, 0.014801469574240559], "optimization_time": 3.3895411491394043} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.3594) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3594) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3594) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3594) q[3];
cx q[0], q[3];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
-8217713796506346970 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 6], [9, 4], [0, 1, 3], [3, 5, 6], [2, 7], [8, 0, 7], [1, 4, 7], [9, 5, 6], [1, 9], [3, 7], [1, 2, 4], [0, 3, 6], [2, 3, 4], [8, 5, 6], [0, 5, 7], [9, 3], [1, 6, 7], [8, 9, 6], [0, 9, 7], [0, 9, 6], [0, 2, 4], [0, 1, 7], [0, 1, 4], [0, 8, 4]]} | {"states": [820, 970], "expectation_value": -4.445637029650482, "params": [[[1.5686, 1.5731000000000002], [1.5730000000000002, -1.1875], [-1.5728, 3.2183], [-1.5730000000000002, 1.5724], [1.5685, 1.5733000000000001], [1.5687, -1.5690000000000002], [1.5683, 1.5684], [1.5731000000000002, 1.5685], [1.5730000000000002, -0.... | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.166666666666666... | 15 | 10 | 1 | {"smallest_eigenvalues": [-6.000000000000001, -6.000000000000001], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.333333333333335, "smallest_bitstrings": ["0000100101", "0000110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5686) q[0];
ry(1.573) q[1];
ry(-1.5728) q[2];
ry(-1.573) q[3];
ry(1.5685) q[4];
ry(1.5687) q[5];
ry(1.5683) q[6];
ry(1.5731) q[7];
ry(1.573) q[8];
ry(1.5687) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
5012989909338209192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 1, 3], [8, 2], [3, 4, 7], [2, 3, 4], [1, 2], [2, 6, 7], [8, 0, 4], [0, 3, 6], [8, 3, 6], [2, 3, 5], [5, 6], [1, 6], [0, 2, 4], [4, 5], [8, 1, 3], [0, 2, 6]]} | {"states": [374, 118], "expectation_value": -4.628942242912733, "params": null, "bitstrings": ["010001001", "110001001"], "total_optimization_steps": 70, "probabilities": [0.22517846794656038, 0.5872869050961292], "optimization_time": 174.85438466072083} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["110001001"]} | 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(1.5703) q[3];
ry(1.4449) q[0];
cry(-1.2279) q[6], q[1];
ry(1.3448) q[2];
cry(-1.358) q[2], q[8];
cry(-1.2251) q[7], q[5];
ry(0.8729) q[6];
cry(-0.7231) q[2], q[1];
ry(1.4181) q[4];
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(1.5703) 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] = m... |
5974782627867721302 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 6, 7], [0, 1, 2, 4, 6, 8], [8, 3, 4], [0, 2, 3, 6, 7, 8], [0, 1, 2, 3, 4, 5], [0, 4, 5, 6, 8], [0, 2, 3, 4, 6, 7], [1, 2, 6, 7, 8], [0, 1, 2, 3, 8], [1, 2, 3, 6, 7], [1, 3, 6, 7, 8], [0, 1, 5, 6], [1, 2, 3, 7, 8]]} | {"states": [502, 438], "expectation_value": -2.1486776123134628, "params": [1.1987, 0.0046, 1.1876, 0.0064, 1.1977, 0.0041, 1.1946, 0.0033, 1.1816, 0.013900000000000001, 0.9752000000000001, 0.0067, 1.1861000000000002, 0.0053, 1.1681000000000001, 0.0036000000000000003, 1.1979, -0.0011, 1.1816, 0.0076, 1.0623, -0.0101000... | 0.2 * (Z(0) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.2833333333333333 * (Z(6) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(5)) + 0.26666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.716666666666667, "smallest_bitstrings": ["001001001", "010010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1987) q[0];
rz(0.0046) q[0];
rx(1.1977) q[1];
rz(0.0041) q[1];
rx(1.1816) q[2];
rz(0.0139) q[2];
rx(1.1861) q[3];
rz(0.0053) q[3];
rx(1.1979) q[4];
rz(-0.0011) q[4];
rx(1.0623) q[5];
rz(-0.0101) q[5];
rx(1.1928) q[6];
rz(0.0033) q[6];
rx(1.1946) 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": []} |
256225d97853e5dea4c267956d6a004a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 223], "expectation_value": -13.947158620578875, "params": [[[-0.0026000000000000003, 2.7135000000000002], [-0.0026000000000000003, -0.0025], [1.6616000000000002, -0.0022], [-0.0027, 0.0023], [0.002, -0.0019], [-0.0021000000000000003, -0.0021000000000000003], [-0.002, 0.002], [-0.0023, -0.002]]], "bitst... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0026) q[0];
ry(-0.0026) q[1];
ry(1.6616) q[2];
ry(-0.0027) q[3];
ry(0.002) q[4];
ry(-0.0021) q[5];
ry(-0.002) q[6];
ry(-0.0023) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x0... | {"node": 1} | {"circuits": [], "gradients": []} |
be472b2016026c5093c540b6b797236b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [25, 98], "expectation_value": -0.6838869735248552, "params": [[-0.069, -0.059300000000000005], [0.0765, 0.0713]], "bitstrings": ["1100110", "0011101"], "total_optimization_steps": 10, "probabilities": [0.011030791802687635, 0.01144162200032642], "optimization_time": 3.276456356048584} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "1100110", "0011110", "0011101"]} | 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(-0.069) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.069) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.069) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.069) q[1];
cx q[3], q[1];
cx q[4], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-5223445331427974042 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6], [2, 5, 7], [0, 3, 5, 6, 7, 8], [1, 4, 5, 6], [8, 4, 6], [0, 1, 2, 4, 7, 8], [8, 9], [0, 1, 2, 3, 4, 7], [9, 4]]} | {"states": [886, 374], "expectation_value": -1.9794517967347245, "params": [1.0391000000000001, -0.3257, 0.9791000000000001, 0.008, 1.2696, 0.0366, 1.0772000000000002, 0.0028, 1.0769, -0.1467, 0.9780000000000001, 0.0097, 1.2936, 0.0882, 1.2722, 0.006900000000000001, 1.2963, -0.0211, 1.2983, 0.00030000000000000003, 1.29... | 0.08333333333333334 * (Z(2) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.3 * (Z(6) @ Z(4)) + 0.1666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.7166666666666655], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.65, "smallest_bitstrings": ["1010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0391) q[0];
rz(-0.3257) q[0];
rx(1.2696) q[1];
rz(0.0366) q[1];
rx(1.0769) q[2];
rz(-0.1467) q[2];
rx(1.2936) q[3];
rz(0.0882) q[3];
rx(1.2963) q[4];
rz(-0.0211) q[4];
rx(1.2944) q[5];
rz(0.1062) q[5];
rx(1.039) q[6];
rz(0.2796) q[6];
rx(1.2859) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -17.58895012877248, "params": [[-0.0426, -0.0196, -0.0145], [0.068, 0.061000000000000006, 0.0582]], "bitstrings": ["10010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.016188113468634448, 0.019847712094260936], "optimization_time": 6.577659368515015} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "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(-0.3408) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3408) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3408) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.3408) q[3];
cx q[4], 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
46e2e5ab81e5ed0c473e3f470b607ee3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 362], "expectation_value": -35.526408015850066, "params": [0.6805, 0.27340000000000003, 1.1042, 0.10350000000000001, 0.6493, 0.3294, 1.1037000000000001, 0.02, 1.1036000000000001, 0.0646, 0.8179000000000001, 0.4033, 1.0983, -0.016900000000000002, 0.6880000000000001, -0.1943, 1.099, 0.23750000000000002, ... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(9)) + 2.0 * Z(0) + 12.0 * Z(1) + 14.0 * Z(3) + 1.5 * Z(2) + 18... | 18 | 10 | 2 | {"smallest_eigenvalues": [-95.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6805) q[0];
rz(0.2734) q[0];
rx(1.1042) q[1];
rz(0.1035) q[1];
rx(0.6493) q[2];
rz(0.3294) q[2];
rx(1.1037) q[3];
rz(0.02) q[3];
rx(1.1036) q[4];
rz(0.0646) q[4];
rx(0.8179) q[5];
rz(0.4033) q[5];
rx(1.0983) q[6];
rz(-0.0169) q[6];
rx(0.688) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
16d309fbf50eb3de0ab671378ee18bce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -2.952815394740268, "params": [[-0.0405, -0.016900000000000002, -0.044000000000000004, -0.0575], [0.0618, 0.0077, 0.0405, 0.0517]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010512041210698517, 0.01103808502570927], "optimizat... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "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[3], q[0];
rz(0.0203) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0203) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.1215) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.1418) q[1];
cx q[3], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
-2319646435818465406 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 6, 7, 9, 11], [1, 2, 3, 8, 11], [1, 10, 4], [2, 3, 5, 8, 10, 11], [1, 2, 3, 4, 6], [0, 1, 4, 5, 6, 7, 9, 11], [0, 2, 10, 11], [8, 9, 11, 4], [0, 2, 7, 8, 10], [0, 1, 4, 5, 6, 8], [3, 4, 7], [3, 6, 9, 10, 11], [0, 1, 2, 4, 7], [1, 3, 5, 6, 7, 8, 9],... | {"states": [1854, 3902], "expectation_value": -5.2337996365498665, "params": [0.8366, 0.8378, 1.5710000000000002, 1.5667, 1.5783, 1.5674000000000001, 1.5887, 1.5572000000000001, 0.21930000000000002, 0.2136, 0.21730000000000002, 0.2151, 1.587, 1.5476, 1.572, 1.5739, 1.5750000000000002, 1.5629000000000002, 1.621500000000... | 0.15595238095238095 * (Z(0) @ Z(3)) + 0.2619047619047619 * (Z(6) @ Z(3)) + 0.23214285714285712 * (Z(6) @ Z(0)) + 0.36428571428571427 * (Z(7) @ Z(3)) + 0.20833333333333334 * (Z(7) @ Z(0)) + 0.18214285714285713 * (Z(7) @ Z(6)) + 0.23928571428571427 * (Z(9) @ Z(3)) + 0.21666666666666665 * (Z(9) @ Z(0)) + 0.248809523809523... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.57261904761905], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.542857142857143, "smallest_bitstrings": ["000011000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.8366) q[0];
ry(1.571) q[1];
ry(1.5783) q[2];
ry(1.5887) q[3];
ry(0.2193) q[4];
ry(0.2173) q[5];
ry(1.587) q[6];
ry(1.572) q[7];
ry(1.575) q[8];
ry(1.6215) q[9];
ry(1.3141) q[10];
ry(0.2054) q[11];
crz(-0.9684) q[11], q[0];
crz(-0.155) q[10], q[11];
crz(... | OPENQASM 3.0;
include "stdgates.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": []} |
d64cdfb0330688360d8e7e9aacc7d340 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -27.26518063937746, "params": [[-0.0431, -0.0018000000000000002, 0.0114], [0.08220000000000001, 0.0767, 0.0687]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.01113746905820703, 0.012673570310705269], "optimization_time": 6.092... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 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(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3879) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3879) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3879) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3879) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
ae9c84de96340fafef2df50aa0a81910 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [1460, 1462], "expectation_value": -2.7605933100500675, "params": [[[1.5685, 1.5727], [1.5694000000000001, 1.5727], [1.5684, 1.5726], [1.5732000000000002, -1.5677], [1.5728, 1.5779], [1.5686, 1.5681], [1.5737, -1.5686], [1.5682, 1.568], [1.5677, 1.5676], [1.5685, 0.021400000000000002], [1.5683, 3.11290000000... | 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)) + 0.5 * (Z(5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 27, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100100000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5685) q[0];
ry(1.5694) q[1];
ry(1.5684) q[2];
ry(1.5732) q[3];
ry(1.5728) q[4];
ry(1.5686) q[5];
ry(1.5737) q[6];
ry(1.5682) q[7];
ry(1.5677) q[8];
ry(1.5685) q[9];
ry(1.5683) 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[... | null | {"circuits": [], "gradients": []} |
7028020551812257116 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 3], [0, 1, 2], [2, 3, 4]]} | {"states": [20, 11], "expectation_value": -0.004409737216485687, "params": [[0.023], [-0.0309]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.03148666996233113, 0.03148674727406082], "optimization_time": 0.45635175704956055} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(4) + 0.16666666666666674... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["01011", "10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.023) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.0077) q[3];
cx q[4], q[3];
cx q[0], q[3];
rz(0.023) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.0077) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.0077) q[2];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[... | null | {"circuits": [], "gradients": []} |
2dfe5372837113be7c6fbf1a018c1186 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"s... | {"states": [1008, 8176], "expectation_value": -25.387157831955683, "params": [[[-0.0026000000000000003, 0.0076], [0.002, 0.0078000000000000005], [1.4792, 0.0034000000000000002], [-0.0021000000000000003, 0.0023], [-0.0026000000000000003, 0.0056], [-0.0021000000000000003, 0.0002], [0.0021000000000000003, 0.0014], [-0.002... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(8)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -2.5... | 2 | 13 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0026) q[0];
rz(0.0076) q[0];
rx(0.002) q[1];
rz(0.0078) q[1];
rx(1.4792) q[2];
rz(0.0034) q[2];
rx(-0.0021) q[3];
rz(0.0023) q[3];
rx(-0.0026) q[4];
rz(0.0056) q[4];
rx(-0.0021) q[5];
rz(0.0002) q[5];
rx(0.0021) q[6];
rz(0.0014) q[6];
rx(-0.0021) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
9e72aed817e662969111170f29d9c9a1 | 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": 4, "target": 5}, {"source": 4, "target": 7}, {"source": ... | {"states": [960, 1023], "expectation_value": -13.983003577356271, "params": [0.0634, 0.0026000000000000003, 2.7575000000000003, 0.0034000000000000002, 0.09330000000000001, 0.0032, 2.8334, -0.0036000000000000003, -0.0026000000000000003, 0.2136, 0.0022, 0.1651, -1.0626, -0.001, -0.0028, -0.2631, -0.0021000000000000003, -... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + 1.0 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0634) q[0];
rz(0.0026) q[0];
rx(2.7575) q[1];
rz(0.0034) q[1];
rx(0.0933) q[2];
rz(0.0032) q[2];
rx(2.8334) q[3];
rz(-0.0036) q[3];
rx(-0.0026) q[4];
rz(0.2136) q[4];
rx(0.0022) q[5];
rz(0.1651) q[5];
rx(-1.0626) q[6];
rz(-0.001) q[6];
rx(-0.0028) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
7649588842338433581 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [238, 311], "expectation_value": -2.117002552925485, "params": [[0.38270000000000004], [-0.3844]], "bitstrings": ["100010001", "011001000"], "total_optimization_steps": 40, "probabilities": [0.011633368518447706, 0.011652847523457565], "optimization_time": 49.05446720123291} | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"]} | 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[4], q[3];
rz(0.2041) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(0.3317) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(0.2296) q[6];
cx q[3], q[6];
cx q[4], q[7];
rz(0.2041) q[7];
cx q[4], 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": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1198, 1199], "expectation_value": -2.1604548096362173, "params": [[1.5229000000000001, 0.24810000000000001, 0.8732000000000001, 1.7045000000000001, -0.0033, 1.6486, 0.0742, 1.1471, 0.012400000000000001, 1.4516, 0.0032], [1.6305, 0.49250000000000005, 0.4973, 1.0962, 0.2624, 1.4911, 0.457, 1.7032, 1.708000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(1)... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010001001", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5229) q[0];
ry(0.2481) q[1];
ry(0.8732) q[2];
ry(1.7045) q[3];
ry(-0.0033) q[4];
ry(1.6486) q[5];
ry(0.0742) q[6];
ry(1.1471) q[7];
ry(0.0124) q[8];
ry(1.4516) q[9];
ry(0.0032) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6],... | OPENQASM 3.0;
include "stdgates.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": []} |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [55, 63], "expectation_value": -1.5928561581719716, "params": [[-0.0463, -0.0545, -0.06520000000000001], [0.053700000000000005, 0.0639, 0.0709]], "bitstrings": ["1001000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01776843901653411, 0.019731434433996088], "optimization_time": 4.07370376... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0694) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0232) q[1];
cx q[3], q[1];
cx q[1], q[4];
rz(0.1389) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(0.0232) q[6];
cx q[3], 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 68.96671557426453} | 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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 13 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[1];
ry(-0.1184) q[2];
ry(-0.2968) q[0];
ry(-0.6213) q[3];
cry(-1.4512) q[4], q[2];
cry(-1.274) q[5], q[0];
cry(-0.9495) q[1], q[3];
cry(-1.2937) q[5], q[1];
ry(0.6626) q[5];
cry(-0.4713) q[4], q[0];
... | null | {"k": 4} | {"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(-0.069) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
0541faf635a6399f550a5b5935bfa17a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.5765999641927166, "params": [[-0.0782, -0.0756, -0.0805, -0.0805], [0.0762, 0.07100000000000001, 0.0737, 0.0738]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0028614697104630887, 0.00286647155579308], "optimization_time"... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0391) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0391) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0391) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 19.194867610931396} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"]} | 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[3];
ry(-1.4449) q[5];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-1.0342) q[1], q[2];
ry(0.7003) q[1];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[2];
cry(0.4962) q[0], q[1];
cry(-0.3788) q[0], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4788755b9046cb997ec5043a21f8c9e6 | 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": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -38.6732148623005, "params": [[0.0253, 0.0034000000000000002, -0.008700000000000001], [-0.08360000000000001, -0.0852, -0.0685]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009765556582167635, 0.012087161793160668], "optimizat... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2277) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2277) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.2277) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.2277) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
c508ed0753e7f28a56c3d421944e1b14 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 991], "expectation_value": -18.01391072706388, "params": [[[-0.0021000000000000003, 3.1443000000000003], [-0.0029000000000000002, -0.0026000000000000003], [-0.0028, -0.003], [-0.0029000000000000002, -0.003], [-1.5994000000000002, -0.003], [-0.0023, -0.0029000000000000002], [-0.0024000000000000002, -0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000100000", "1111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0021) q[0];
ry(-0.0029) q[1];
ry(-0.0028) q[2];
ry(-0.0029) q[3];
ry(-1.5994) q[4];
ry(-0.0023) q[5];
ry(-0.0024) q[6];
ry(-0.003) q[7];
ry(-0.0028) q[8];
ry(-0.0021) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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] q;
ry(x0) q[0];
ry(... | {"node": 3} | {"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": 79.82381010055542} | -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 | 2 | {"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... |
-7337701157855719165 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 5, 7], [2, 3, 5, 6], [1, 2]]} | {"states": [37, 39], "expectation_value": -1.487720337054945, "params": null, "bitstrings": ["11011010", "11011000"], "total_optimization_steps": 58, "probabilities": [0.26053266879161835, 0.3408156943036469], "optimization_time": 86.24254894256592} | 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["11011000", "01010001", "01001100", "01000011",... | 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(1.1408) q[5];
cry(-1.0342) q[7], q[4];
ry(0.7297) q[7];
cry(-1.0342) q[2], q[1];
ry(0.7922) q[2];
ry(-0.5311) q[1];
cry(0.4829) q[5], q[2];
ry(-0.4801) q[4];
cry(0.4801) q[5], q[7];
cry(-0.3589... | 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];\nry(1.1408) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
2e6ea11e2a4f0b1c9b569231867d91ab | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [414, 398], "expectation_value": -2.032019930243052, "params": [2.1996, 0.0083, 2.1969000000000003, 0.0085, 0.4152, 0.0045000000000000005, 0.9760000000000001, 0.006500000000000001, 1.5690000000000002, 0.0035, 2.2128, 0.0043, 1.6433, 0.0063, 2.1971000000000003, 0.0088, 0.0021000000000000003, 0.006800000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100011", "011100001", "001100101", "100001011", "001100011", "100010011", "001110001", "001001101", "101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.1996) q[0];
rz(0.0083) q[0];
rx(2.1969) q[1];
rz(0.0085) q[1];
rx(0.4152) q[2];
rz(0.0045) q[2];
rx(0.976) q[3];
rz(0.0065) q[3];
rx(1.569) q[4];
rz(0.0035) q[4];
rx(2.2128) q[5];
rz(0.0043) q[5];
rx(1.6433) q[6];
rz(0.0063) q[6];
rx(2.1971) 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[... | null | {"circuits": [], "gradients": []} |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -1.0915653594612018, "params": [[-0.0405, 0.07970000000000001], [0.07400000000000001, -0.058100000000000006]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.023137428617778236, 0.023728406040293554], "optimization_time": 2.33973193168640... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"]} | 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(0.0203) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0607) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1013) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2025) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1013... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.