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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-4212810496543102825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [1, 5], [1, 3], [4, 5]]} | {"states": [50, 26], "expectation_value": -1.8439305686339837, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 37, "probabilities": [0.05648119898290764, 0.7993405445161581], "optimization_time": 26.432786464691162} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "001101", "011010", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[2], q[0];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
ry(-0.6992) q[3];
ry(0.7003) q[4];
cry(-0.795) q[1], q[5];
cry(0.668) q[1], q[4];
cry(0.3724) q[4], q[1];
ry(0.7003) q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[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[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
-3602266059262500002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 10, 5], [9, 10, 5, 6], [1, 9], [2, 4, 5, 7, 9], [2, 3, 4, 5, 7, 8, 10], [0, 2, 3, 5, 9, 10], [8, 10, 6, 7], [8, 9, 6, 7], [1, 2, 4, 7, 8, 10], [0, 1, 3, 4, 6, 7, 10], [8, 1, 10, 5], [0, 2, 3, 4, 10], [0, 2, 3, 4, 5], [9, 3, 7], [0, 9, 4]]} | {"states": [507, 491], "expectation_value": -3.510575515414635, "params": [-0.0029000000000000002, -0.003, -0.0026000000000000003, -0.0026000000000000003, 1.5621, 1.5765, 2.5854, 0.5425, 1.2159, 1.7294, 1.5810000000000002, 1.5668, 2.2941000000000003, 2.3874, 1.9560000000000002, 1.1152, 2.027, 1.179, 1.3526, 1.903600000... | 0.08333333333333333 * (Z(0) @ Z(9)) + 0.3071428571428571 * (Z(2) @ Z(9)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.19047619047619047 * (Z(6) @ Z(9)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.3071428571428571 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(9)) + 0.19999999999999998 * (Z(10) @ Z(0)) + 0.11666666666666... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.566666666666667, "smallest_bitstrings": ["11000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0029) q[0];
ry(-0.0026) q[1];
ry(1.5621) q[2];
ry(2.5854) q[3];
ry(1.2159) q[4];
ry(1.581) q[5];
ry(2.2941) q[6];
ry(1.956) q[7];
ry(2.027) q[8];
ry(1.3526) q[9];
ry(1.568) q[10];
crx(0.0025) q[10], q[0];
crx(1.7004) q[9], q[10];
crx(-0.0173) q[8], q[9... | OPENQASM 3.0;
include "stdgates.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": []} |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [42, 26], "expectation_value": -4.496515541748614, "params": null, "bitstrings": ["1010101", "1100101"], "total_optimization_steps": 24, "probabilities": [0.06700896507646317, 0.9297460583128401], "optimization_time": 17.38887858390808} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[3];
ry(1.4417) q[5];
cry(-1.0398) q[2], q[1];
ry(0.7022) q[2];
ry(-0.4578) q[1];
cry(0.497) q[3], q[2];
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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b467574a0d251d07c1a6778135962164 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -23.538478826368564, "params": [[[0.0024000000000000002, 3.1599], [0.0018000000000000002, 0.0022], [0.0027, 0.0021000000000000003], [-1.651, 0.003], [0.002, 0.003], [-0.003, 0.0028], [0.0018000000000000002, 0.0024000000000000002], [0.0019, 0.002], [0.0019, 0.002], [0.002, 0... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(2) @ Z(11)) + -2.0 * (Z(2) @ Z(9)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0024) q[0];
ry(0.0018) q[1];
ry(0.0027) q[2];
ry(-1.651) q[3];
ry(0.002) q[4];
ry(-0.003) q[5];
ry(0.0018) q[6];
ry(0.0019) q[7];
ry(0.0019) q[8];
ry(0.002) q[9];
ry(-0.0027) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 11} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [3, 17], "expectation_value": -2.0696418183073924, "params": [[0.0799], [-0.0868]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.04213081663052179, 0.04256751949957848], "optimization_time": 2.1494524478912354} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2797) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2797) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2797) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2797) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3196) 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[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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} |
5b5a524f49034d7d595f6fc8d4b5a13a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [851, 339], "expectation_value": -70.04035413134102, "params": [0.14730000000000001, -0.4353, 0.1819, -0.4016, 0.7485, 0.183, 1.0058, 0.12090000000000001, 0.5963, 0.28390000000000004, 1.0082, 0.1269, 0.0023, 0.6779000000000001, 1.01, -0.0027, -0.012100000000000001, 0.5979, -0.006900000000000001, -0.4811, 1.0... | 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(3) @ Z(5)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(1) @ Z(7)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(5)) + 8.5 * (Z(0) @ Z(10)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(2)) + 14.0 * Z(5) + 0.5 * Z(4) + 22.5 * Z(3) + 2.0 * Z(2) + 10.0 * Z(7) + -3.5 * Z(1) + -5.0 * Z(8) + -... | 16 | 12 | 2 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.0, "smallest_bitstrings": ["111010101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1473) q[0];
rz(-0.4353) q[0];
rx(0.1819) q[1];
rz(-0.4016) q[1];
rx(0.7485) q[2];
rz(0.183) q[2];
rx(1.0058) q[3];
rz(0.1209) q[3];
rx(0.5963) q[4];
rz(0.2839) q[4];
rx(1.0082) q[5];
rz(0.1269) q[5];
rx(0.0023) q[6];
rz(0.6779) q[6];
rx(1.01) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
1298655583307517259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 10, 4], [0, 2], [0, 3, 5], [0, 1], [6, 7], [8, 2]]} | {"states": [1147, 1083], "expectation_value": -1.8012361167209003, "params": [1.2978, 1.2981, 0.4041, 0.3844, 0.4824, 0.4979, 0.2746, 0.2409, 0.678, 0.7834, 1.2885, 1.2878, 1.2990000000000002, 1.2919, 1.2972000000000001, 1.2984, 0.27090000000000003, 0.2752, 1.2855, 1.1042, 1.2961, 1.3012000000000001, 1.2802, 0.6761, 0.... | 0.16666666666666666 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.66666666666... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.2978) q[0];
ry(0.4041) q[1];
ry(0.4824) q[2];
ry(0.2746) q[3];
ry(0.678) q[4];
ry(1.2885) q[5];
ry(1.299) q[6];
ry(1.2972) q[7];
ry(0.2709) q[8];
ry(1.2855) q[9];
ry(1.2961) q[10];
crx(1.2802) q[10], q[0];
crx(1.1753) q[9], q[10];
crx(1.29) q[8], q[9];
... | OPENQASM 3.0;
include "stdgates.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": []} |
3c0665940b168eebba233cb5a1d3af60 | 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}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [129, 1], "expectation_value": -15.999999974556587, "params": null, "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 29, "probabilities": [8.327888961193782e-09, 0.9999999916094662], "optimization_time": 48.08684277534485} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5708) q[9];
ry(-1.5708) q[0];
ry(-1.5706) q[7];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
ry(-1.5708) q[8];
ry(-1.5706) q[2];
ry(-1.5681) q[4];
ry(-1.5708) q[5];... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[9];\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]... |
1186103e935f6770b36dcaf31ab8cdf7 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1662, 5758], "expectation_value": -3.494823541457041, "params": [[[0.8657, 0.0038, 0.003, 0.0001], [1.351, -0.0038, 1.0490000000000002, 0.0082], [1.5677, -0.003, 1.5684, 0.0063], [1.5714000000000001, -0.0025, 1.5672000000000001, 0.0092], [1.5866, 0.0028, -1.5805, 0.0067], [0.7615000000000001, -0.001, 0.9844... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 11 | 13 | 1 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875], "nu... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8657) q[0];
rz(0.0038) q[0];
ry(1.351) q[1];
rz(-0.0038) q[1];
ry(1.5677) q[2];
rz(-0.003) q[2];
ry(1.5714) q[3];
rz(-0.0025) q[3];
ry(1.5866) q[4];
rz(0.0028) q[4];
ry(0.7615) q[5];
rz(-0.001) q[5];
ry(1.5685) q[6];
rz(-0.002) q[6];
ry(0.1927) 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": []} |
266260d621043cabf37512f90b4b26ac | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [70, 86], "expectation_value": -3.103235462642183, "params": [0.4056, -0.0085, 0.4062, 0.0011, 0.3919, -0.18180000000000002, 0.3895, -0.06810000000000001, 0.4017, -0.15860000000000002, 0.40340000000000004, -0.13670000000000002, -0.0125, 0.20750000000000002, -0.016900000000000002, 0.20040000000000002, 0.4041,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4056) q[0];
rz(-0.0085) q[0];
rx(0.3919) q[1];
rz(-0.1818) q[1];
rx(0.4017) q[2];
rz(-0.1586) q[2];
rx(-0.0125) q[3];
rz(0.2075) q[3];
rx(0.4041) q[4];
rz(-0.011) q[4];
rx(0.4055) q[5];
rz(-0.0068) q[5];
rx(-0.007) q[6];
rz(0.2025) q[6];
crz(-0.0032) 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": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [118, 213], "expectation_value": -0.3136991242434475, "params": [[-0.0763, -0.0651, -0.083], [0.0824, 0.0723, 0.0781]], "bitstrings": ["10001001", "00101010"], "total_optimization_steps": 10, "probabilities": [0.006591356924107449, 0.006591356924107457], "optimization_time": 10.480224370956421} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0382) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0382) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0382) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0382) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
21dda983a8fde827e386733ca5f6effd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -67.63313208405647, "params": [[[-0.0025, 1.6043], [0.0021000000000000003, 0.0024000000000000002], [0.0024000000000000002, 0.0019], [0.0019, 0.002], [0.0019, 0.0019], [0.002, 0.0022], [-0.0032, 0.0021000000000000003], [0.0018000000000000002, 0.0025], [0.0021000000000000003, 0... | -4.0 * (Z(0) @ Z(1)) + 1.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(1)) + -3.5 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + -3.0 * (Z(9) @ Z(8)) + 0.5 * (Z(11) @ Z(1)) + -3.0 * (Z(11) @ Z(0)) + -2.0 * (Z(11) @ Z(7)) + 1.0 * (Z(11) @ Z(8)) +... | 15 | 14 | 1 | {"smallest_eigenvalues": [-71.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.49999999999945, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0025) q[0];
ry(0.0021) q[1];
ry(0.0024) q[2];
ry(0.0019) q[3];
ry(0.0019) q[4];
ry(0.002) q[5];
ry(-0.0032) q[6];
ry(0.0018) q[7];
ry(0.0021) q[8];
ry(0.0019) q[9];
ry(0.0023) q[10];
ry(0.002) q[11];
ry(0.0022) q[12];
ry(0.0021) q[13];
cx q[13], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[14] c;
qubit[14] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -1.9157110161685833, "params": [[-0.0675, -0.07680000000000001, -0.0608, -0.0381], [0.07390000000000001, 0.083, 0.0779, 0.0708]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.03778567919192336, 0.03778567919192339], "optimization_time":... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0675) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0675) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0675) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0675) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [59355, 47085], "expectation_value": -13.145456774421886, "params": [[0.194, 0.7278], [-0.507, -0.19010000000000002]], "bitstrings": ["0001100000100100", "0100100000010010"], "total_optimization_steps": 130, "probabilities": [0.004677260936738339, 0.0046772609367383405], "optimization_time": 50.8266301155090... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.194) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.194) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} |
75b2b49bf8a153c97d838ff6c1f36ee5 | 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": 5, "source": 0, "t... | {"states": [199, 109], "expectation_value": -11.25138525828078, "params": [[0.042], [-0.0727]], "bitstrings": ["00111000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007420873989158465, 0.00832349916235365], "optimization_time": 1.8456358909606934} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.378) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.378) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.378) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.378) q[3];
cx q[1], 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;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.996515537770063, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 22, "probabilities": [0.06700898087125177, 0.9297460398076854], "optimization_time": 13.350357294082642} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[5], q[3];
ry(0.7022) q[5];
ry(-0.4578) q[3];
cry(0.497) q[4], q[5];
cry(-0.3761) q[4], q[3];
cry(0.2474) q[1], q[5];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_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": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 38.12942719459534} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"]} | 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(-1.4449) q[1];
ry(-1.4449) q[2];
ry(1.2953) q[4];
cry(-1.2979) q[6], q[5];
ry(1.2918) q[3];
ry(0.7766) q[6];
ry(-0.6306) q[5];
cry(1.319) q[6], q[0];
cry(0.4655) q[4], q[6];
cry(-0.1259) q[4], q[2];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
461a504b9826e7d1bfc1c6f1845a3d83 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -4.49639797747896, "params": null, "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 26, "probabilities": [0.0663522959322684, 0.9303266259711162], "optimization_time": 21.19233727455139} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"]} | 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[3];
ry(-1.5681) q[6];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-1.0343) q[0], q[5];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4962) q[4], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 60.279109477996826} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | 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(1.2796) q[1];
ry(1.5599) q[3];
ry(1.0625) q[6];
ry(-1.5577) q[4];
cry(-0.4805) q[6], q[0];
cry(-0.0803) q[3], q[0];
ry(0.0001) q[0];
cry(-0.0624) q[1], q[0];
cry(-1.3832) q[3], q[6];
cry(0.0045) q[1], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
bbe36c72142a04c8b1698fed3f77c25c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [19, 18], "expectation_value": -3.9657745471502315, "params": [[[0.5890000000000001, 0.0009000000000000001], [0.1842, 0.1932], [0.18660000000000002, -0.19440000000000002], [0.5835, -0.0018000000000000002], [0.49310000000000004, -0.0414]], [[0.5884, 0.0009000000000000001], [0.189, 0.1932], [0.1893, -0.1945], ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.589) q[0];
rz(0.0009) q[0];
rx(0.1842) q[1];
rz(0.1932) q[1];
rx(0.1866) q[2];
rz(-0.1944) q[2];
rx(0.5835) q[3];
rz(-0.0018) q[3];
rx(0.4931) q[4];
rz(-0.0414) q[4];
rx(0.5884) q[0];
rz(0.0009) q[0];
rx(0.189) q[1];
rz(0.1932) q[1];
rx(0.1893) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [6, 81], "expectation_value": -0.7738315227566972, "params": [[-0.0697, -0.0776], [0.0684, 0.0714]], "bitstrings": ["1111001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.01069506114496813, 0.011833870142906036], "optimization_time": 3.293682336807251} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"]} | 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(-0.0697) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0697) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0697) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0697) q[5];
cx q[0], q[5];
cx q[3], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 21.940990924835205} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[5];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[1];
cry(-0.37... | 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[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 \"stdga... |
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [26026, 21930], "expectation_value": -1.7093497025855344, "params": null, "bitstrings": ["1001101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12417611141593876, 0.2678858578748455], "optimization_time": 876.4290089607239} | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011250000000000001 * (Z(4) @ Z(0)) + 0.00012500000000000003 * (Z(4) @ Z(2)) + -0.0011250000000000001 * (Z(5) @ Z(1)) + 0.00012500000000000003 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0212499999999674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999625, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5947) q[10], q[11];
cry(-0.5941) q[8], q[9];
cry(-0.5945) q[12], q[13];
cry(-0.5949) q[14], q[15];
cry(-0.5931) q[7],... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5947) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
5423c73a68fe47c6453c3bd130085afd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [38, 81], "expectation_value": -0.14694077883390577, "params": [[0.0568], [-0.0463]], "bitstrings": ["1011001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.00852381639206284, 0.008524167810566571], "optimization_time": 1.5771782398223877} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(2) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011001", "0101110"]} | 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(0.0568) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0568) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0568) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0568) q[2];
cx q[1], q[2];
cx q[5], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.6167777115424353, "params": [[-0.08460000000000001, -0.0839], [0.07880000000000001, 0.0779]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.04825574422245782, 0.0513941787350419], "optimization_time": 2.0424392223358154} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | 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[2], q[0];
rz(0.0423) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0423) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0846) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.2538) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0423) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
a8551c5d5524e01c1ad4c76ea9ceadd6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"sour... | {"states": [75, 203], "expectation_value": -3.4768972888943486, "params": [[[-0.011000000000000001, 0.3972], [0.801, 0.003], [0.8045, -0.0017000000000000001], [-0.0149, 0.3906], [0.2883, -0.2566], [0.8013, 0.004], [0.1831, 0.3053], [0.8069000000000001, 0.0028], [0.8082, 0.0026000000000000003]], [[-0.0106, 0.0049], [0.7... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.011) q[0];
rz(0.3972) q[0];
rx(0.801) q[1];
rz(0.003) q[1];
rx(0.8045) q[2];
rz(-0.0017) q[2];
rx(-0.0149) q[3];
rz(0.3906) q[3];
rx(0.2883) q[4];
rz(-0.2566) q[4];
rx(0.8013) q[5];
rz(0.004) q[5];
rx(0.1831) q[6];
rz(0.3053) q[6];
rx(0.8069) 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": []} |
9756af23cb7c589059b7e2308fee7505 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [510, 2046], "expectation_value": -11.89784850800036, "params": null, "bitstrings": ["11000000001", "00000000001"], "total_optimization_steps": 100, "probabilities": [0.11803338611500218, 0.3531965911805084], "optimization_time": 221.4750657081604} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (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) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + -0.5 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000000001"]} | 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(1.5681) q[5], q[6];
cry(1.5708) q[6], q[4];
cry(1.2536) q[4], q[5];
cry(0.4771) q[4], q[6];
cry(1.5681) q[9], q[7];
ry(1.0829) q[9];
cry(1.5701) q[7], q[8];
cry(0.43... | null | {"node": 11} | {"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(1.5681) q[5], 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[... |
2d02f35370a8769eaaa03bbd3e88b224 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [14, 30], "expectation_value": -2.005140968480432, "params": [-0.0027, 0.00030000000000000003, 0.0023, 0.001, 0.0027, 0.0099, 1.601, 0.007500000000000001, 1.6042, 0.0033, 1.6117000000000001, 0.0071, 1.6113000000000002, 0.0045000000000000005, 0.9888, 0.0014, 0.0063, 0.0068000000000000005, 0.009300000000000001... | 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(2) @ Z(0) @ Z(3)) + -0.0625 * (Z(2) @ Z(0) @ Z(4)) + -0.0... | 16 | 8 | 1 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["11100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(0.0003) q[0];
rx(0.0023) q[1];
rz(0.001) q[1];
rx(0.0027) q[2];
rz(0.0099) q[2];
rx(1.601) q[3];
rz(0.0075) q[3];
rx(1.6042) q[4];
rz(0.0033) q[4];
rx(1.6117) q[5];
rz(0.0071) q[5];
rx(1.6113) q[6];
rz(0.0045) q[6];
rx(0.9888) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [40, 41], "expectation_value": -3.019782885236054, "params": [0.8058000000000001, 0.012700000000000001, 0.17980000000000002, 0.5061, 0.8028000000000001, 0.2791, -0.0089, 0.45570000000000005, -0.013900000000000001, 0.5021, 0.7998000000000001, 0.24500000000000002, 0.8017000000000001, 0.0047, 0.1794, 0.0016, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 3 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8058) q[0];
rz(0.0127) q[0];
rx(0.1798) q[1];
rz(0.5061) q[1];
rx(0.8028) q[2];
rz(0.2791) q[2];
rx(-0.0089) q[3];
rz(0.4557) q[3];
rx(-0.0139) q[4];
rz(0.5021) q[4];
rx(0.7998) q[5];
rz(0.245) q[5];
crz(0.4928) q[5], q[4];
crz(-0.0477) q[4], q[3];
crz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -6.639568028578885, "params": [0.0039000000000000003, 0.1595, 0.0059, 0.19360000000000002, 0.0068000000000000005, 0.23900000000000002, 0.0048000000000000004, 0.2841, 0.0049, 0.2525, -0.0002, 0.2922, 0.40180000000000005, 0.0082, -0.0041, 0.2645, 0.0009000000000000001, 0.2851, -0.0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0039) q[0];
rz(0.1595) q[0];
rx(0.0059) q[1];
rz(0.1936) q[1];
rx(0.0068) q[2];
rz(0.239) q[2];
rx(0.0048) q[3];
rz(0.2841) q[3];
rx(0.0049) q[4];
rz(0.2525) q[4];
rx(-0.0002) q[5];
rz(0.2922) q[5];
rx(0.4018) q[6];
rz(0.0082) q[6];
crz(0.0085) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
be7e2cb61602e2e9b2101189bb676973 | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1022, 479], "expectation_value": -16.31569087164393, "params": null, "bitstrings": ["0000000001", "1000100000"], "total_optimization_steps": 100, "probabilities": [0.1214855732138148, 0.8314794565090576], "optimization_time": 272.1784245967865} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(-1.5708) q[0], q[9];
ry(1.5706) q[7];
ry(1.5706) q[5];
ry(1.5708) q[3];
ry(1.5708) q[1];
cry(1.5708) q[3], q[8];
cry(1.5708) q[1], q[2];
ry(1.5708) q[9];
cry(1.5708) q[7], q[... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(-1.5708) q[0], q[9];\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] = meas... |
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": [3, 1], "expectation_value": -12.740153990343664, "params": [0.0022, 0.3325, 0.0036000000000000003, 0.3336, 0.0025, -0.4334, 0.0051, -0.3633, 0.0007, -0.4171, 0.0026000000000000003, 0.4617, 0.4555, -0.0989, 0.6074, 0.0044, 0.0078000000000000005, 0.3498, 0.0004, 0.4178, 0.0025, -0.4369, 0.0021000000000000003,... | -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 | 3 | {"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(0.3325) q[0];
rx(0.0036) q[1];
rz(0.3336) q[1];
rx(0.0025) q[2];
rz(-0.4334) q[2];
rx(0.0051) q[3];
rz(-0.3633) q[3];
rx(0.0007) q[4];
rz(-0.4171) q[4];
rx(0.0026) q[5];
rz(0.4617) q[5];
rx(0.4555) q[6];
rz(-0.0989) q[6];
rx(0.6074) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.054770037003303004, "params": [[-0.052700000000000004], [0.0659]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.01670464169191858, 0.01671414721616886], "optimization_time": 0.8938498497009277} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0527) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0527) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(-0.0527) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(-0.0527) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -2.640432316285178, "params": [[-0.066, -0.0688, -0.0776, -0.08360000000000001], [0.07060000000000001, 0.0665, 0.0699, 0.07390000000000001]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.08911999905495926, 0.1006763650561535], "optimizat... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | 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(0.066) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.264) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.066) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.033) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.165) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [36, 26], "expectation_value": -0.35910929068861697, "params": [[0.0698, 0.0649], [-0.056400000000000006, -0.0506]], "bitstrings": ["011011", "100101"], "total_optimization_steps": 10, "probabilities": [0.01911324574698797, 0.019876608103747966], "optimization_time": 2.738887071609497} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0698) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0698) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0698) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0698) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(0.0698... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 161.472674369812} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(-9.9218) q[2];
ry(11.4714) q[1];
ry(32.424) q[5];
cry(-38.4754) q[5], q[4];
cry(-7.2533) q[2], q[4];
cry(2.5282) q[5], q[2];
cry(0.3419) q[4], q[2];
ry(0.0017) q[0];
cry(0.0665... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [0, 1], "expectation_value": -5.3147872513092835, "params": [[[-0.004200000000000001, 0.22210000000000002], [0.0011, 0.3161], [0.0015, 0.318], [0.0043, 0.3114], [0.4057, 0.0031000000000000003]], [[-0.0016, 0.24330000000000002], [0.006, 0.29410000000000003], [0.004, 0.3138], [-0.0005, 0.3012], [0.4048, 0.0031... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0042) q[0];
rz(0.2221) q[0];
rx(0.0011) q[1];
rz(0.3161) q[1];
rx(0.0015) q[2];
rz(0.318) q[2];
rx(0.0043) q[3];
rz(0.3114) q[3];
rx(0.4057) q[4];
rz(0.0031) q[4];
rx(-0.0016) q[0];
rz(0.2433) q[0];
rx(0.006) q[1];
rz(0.2941) q[1];
rx(0.004) q[2];
rz(0.3... | 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": 4} | {"circuits": [], "gradients": []} |
d78a0427a92936b02a891a265f8e1164 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [769, 801], "expectation_value": -3.6375833292734625, "params": [0.8066, 0.81, 0.7997000000000001, 0.8018000000000001, 0.18430000000000002, 0.1728, 0.5790000000000001, 0.3683, 0.8084, 0.8108000000000001, 0.1759, 0.1723, 0.2179, 0.22540000000000002, -0.0155, -0.0173, -0.0123, -0.016300000000000002, 0.8084, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -4.5, "smallest_bitstrings": ["1111000101", "1111000110", "0111010110", "0111010101", "0101010111", "0011011110", "0001011111", "0100111011",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8066) q[0];
ry(0.7997) q[1];
ry(0.1843) q[2];
ry(0.579) q[3];
ry(0.8084) q[4];
ry(0.1759) q[5];
ry(0.2179) q[6];
ry(-0.0155) q[7];
ry(-0.0123) q[8];
ry(0.8084) q[9];
crx(0.7913) q[9], q[0];
crx(-0.5943) q[8], q[9];
crx(-0.5351) q[7], q[8];
crx(-0.0588) ... | OPENQASM 3.0;
include "stdgates.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": []} |
4b2b5ba04f490b1a55b5e14f626537a5 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -5.496464084735464, "params": null, "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 27, "probabilities": [0.06634840432148624, 0.9303662506151494], "optimization_time": 21.15513300895691} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[2];
cry(-0.3789) q[4], q[0];
cry(0.2... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
abfc65dd279c9be0771666a7af1df613 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [17, 1], "expectation_value": -0.3846362962642201, "params": [[0.038700000000000005], [-0.037700000000000004]], "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011661270760063602, 0.0012074065058825332], "optimization_time": 3.4953174591064453} | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"]} | 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[3], q[0];
rz(-0.0774) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0774) q[4];
cx q[0], q[4];
cx q[0], q[8];
rz(-0.0194) q[8];
cx q[0], q[8];
cx q[4], q[1];
rz(-0.0581) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [39, 37], "expectation_value": -1.611456057412155, "params": [2.8496, 0.0036000000000000003, -0.0026000000000000003, 0.007, -0.0028, 0.0067, 2.8483, 0.0021000000000000003, 1.5306000000000002, 0.0032, 1.7909000000000002, 0.0057, 0.0044, 0.0099, 0.001, 0.0021000000000000003, 0.0016, 0.006500000000000001], "bit... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(2.8496) q[0];
rz(0.0036) q[0];
rx(-0.0026) q[1];
rz(0.007) q[1];
rx(-0.0028) q[2];
rz(0.0067) q[2];
rx(2.8483) q[3];
rz(0.0021) q[3];
rx(1.5306) q[4];
rz(0.0032) q[4];
rx(1.7909) q[5];
rz(0.0057) q[5];
crz(0.0044) q[5], q[0];
crz(0.0065) q[4], q[5];
crz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | edge_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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [213, 199], "expectation_value": -0.39131719621337524, "params": [[0.0636, 0.0711, 0.0762, 0.0766], [-0.0296, -0.0524, -0.0675, -0.0719]], "bitstrings": ["00101010", "00111000"], "total_optimization_steps": 10, "probabilities": [0.007532557576809011, 0.0075325575768090125], "optimization_time": 16.3242020606... | 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 | 8 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0318) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0318) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0318) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0318) q[0];
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[... | null | {"circuits": [], "gradients": []} |
bfcc016c6d32554855d911056b5152b6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 70.65788793563843} | -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 | 3 | {"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];
ry(-0.4397) q[6];
ry(1.57) q[7];
ry(-0.4766) q[0];
cry(0.1919) q[7], q[6];
cry(-0.0991) q[7], q[0];
cry(-1.323) q[2], q[6];
ry(-1.5708) q[5];
cry(-0.9942) q[4], q[0];
cry(-0.6984) q[1], q[6];
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(-0.4397) 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... |
07dc38d1dc363182151755eeee21e61e | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [0, 127], "expectation_value": -1.496535078955524, "params": [[0.0256, 0.0688, 0.0286], [0.0008, -0.057600000000000005, -0.038]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007687674080808568, 0.008002490907119712], "optimization_time": 5.099806785583496} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0128) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0128) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0256) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0256) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1dc00844db3f5364ba0548845dd55331 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [0, 508], "expectation_value": -9.226688265838655, "params": [-0.0424, 0.2898, -0.5854, 0.0004, 0.5903, 0.1971, -0.7321000000000001, 0.0006000000000000001, -0.8782000000000001, 0.17550000000000002, 0.3048, 0.0038, -0.8706, 0.3249, 0.24450000000000002, 0.0063, -0.7948000000000001, 0.5069, 0.2351, 0.0032, -0.6... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0424) q[0];
rz(0.2898) q[0];
rx(0.5903) q[1];
rz(0.1971) q[1];
rx(-0.8782) q[2];
rz(0.1755) q[2];
rx(-0.8706) q[3];
rz(0.3249) q[3];
rx(-0.7948) q[4];
rz(0.5069) q[4];
rx(-0.6586) q[5];
rz(0.7523) q[5];
rx(0.6528) q[6];
rz(-0.1756) q[6];
rx(-0.0037) 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": []} |
6912218945619950979 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 2, 6, 8], [2, 5, 6], [0, 2, 3, 5, 8], [8, 1, 4, 6], [0, 1, 3, 6, 8], [4, 5, 7]]} | {"states": [285, 317], "expectation_value": -1.9922319327363602, "params": null, "bitstrings": ["011100010", "011000010"], "total_optimization_steps": 45, "probabilities": [0.4822063219380015, 0.4837779655299228], "optimization_time": 79.24225902557373} | 0.5 * (Z(1) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.183333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.016666666666667, -2.016666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0166666666666657, "smallest_bitstrings": ["011100010", "011000010"]} | 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(1.438) q[6];
ry(1.083) q[5];
cry(-1.2341) q[5], q[1];
ry(1.2807) q[8];
cry(0.3255) q[6], q[5];
cry(-0.3551) q[6], q[1];
cry(-0.5205) q[5], q[2];
ry(0.7117) q[0];
cry(-0.5743) q[6], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.438) 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] = me... |
4286d838a0864c608421aefd7c0a8694 | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -3.2619197488279528, "params": [[0.0359, 0.054900000000000004, 0.044000000000000004, 0.056600000000000004], [-0.0182, -0.046700000000000005, -0.0378, -0.0497]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011810740075675372, 0.01192... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.0718) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0897) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0718) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0539) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5721bc29b750ff2e0c5d4fb6d5e7d30b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [7, 31], "expectation_value": -13.39289744329475, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 72, "probabilities": [0.1623943178672501, 0.48611076734459474], "optimization_time": 65.91667795181274} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[2];
ry(-1.5577) q[1];
ry(-0.233) q[0];
cry(-1.3378) q[7], q[0];
cry(-0.6689) q[6], q[0];
cry(1.5681) q[7], q[5];
cry(1.1472) q[5], q[7];
cry(1.567) q[7], q[6];
cry(1.5486) q[4], q[3]... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-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... |
7045b11d9eb140d2e8e06a7ee0e1d0cd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3414, 3415], "expectation_value": -2.5037681209715044, "params": [[[0.2833, 0.0033], [0.7893, 0.0048000000000000004], [0.0128, -0.0002], [0.6812, 0.0264], [0.1683, 0.026600000000000002], [0.6359, 0.049800000000000004], [0.2773, 0.0512], [0.7838, 0.1346], [0.0907, 0.26230000000000003], [0.31720000000000004, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -2.5, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2833) q[0];
ry(0.7893) q[1];
ry(0.0128) q[2];
ry(0.6812) q[3];
ry(0.1683) q[4];
ry(0.6359) q[5];
ry(0.2773) q[6];
ry(0.7838) q[7];
ry(0.0907) q[8];
ry(0.3172) q[9];
ry(0.7204) q[10];
ry(0.5752) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
67af624551620c14b190ca5216efe361 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [325, 327], "expectation_value": -102.51545243755726, "params": [[0.0025, -0.15560000000000002, 0.7281000000000001, 0.0015, 0.6597000000000001, -0.0378, -0.011600000000000001, 0.0025, 0.8334, -0.0664, 0.7465], [0.0031000000000000003, 0.0492, 0.6514, 0.0024000000000000002, 0.6657000000000001, -0.0282000000000... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + -7.5 * Z(0) + 5.0 * Z(1) + 6.5 * Z(4) + -5.5 * Z(3) + 1.5 * Z(5) + 2.0 * Z(8) + -5.5 * Z(6) + 6.5 * Z(9) + 9.5 * Z(10) + -15.0 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0025) q[0];
ry(-0.1556) q[1];
ry(0.7281) q[2];
ry(0.0015) q[3];
ry(0.6597) q[4];
ry(-0.0378) q[5];
ry(-0.0116) q[6];
ry(0.0025) q[7];
ry(0.8334) q[8];
ry(-0.0664) q[9];
ry(0.7465) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
d718199120caa09970ec0112edaecdf9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -23.45489737228563, "params": [[[0.2038, -0.2947], [0.1797, -0.32630000000000003], [0.1822, -0.3257], [0.6042000000000001, 0.0056], [0.2054, -0.2987], [0.8035, 0.0036000000000000003], [0.7994, 0.0031000000000000003]], [[0.1975, 0.007], [0.1751, 0.007200000000000001], [0.1809, 0.0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2038) q[0];
rz(-0.2947) q[0];
rx(0.1797) q[1];
rz(-0.3263) q[1];
rx(0.1822) q[2];
rz(-0.3257) q[2];
rx(0.6042) q[3];
rz(0.0056) q[3];
rx(0.2054) q[4];
rz(-0.2987) q[4];
rx(0.8035) q[5];
rz(0.0036) q[5];
rx(0.7994) q[6];
rz(0.0031) q[6];
rx(0.1975) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
9209c3ac658691a9491f8793700384e3 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [35, 99], "expectation_value": -5.082155581825221, "params": [0.0071, 1.0472000000000001, 0.8981, 0.598, 1.5855000000000001, 0.0022, -0.0032, 0.9692000000000001, 0.00030000000000000003, 0.9562, 0.003, 1.0908, 1.5812000000000002, 0.1446, 1.5795000000000001, -0.0027, -0.0002, 0.0085, 0.8389000000000001, 0.0005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01000111", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0071) q[0];
rz(1.0472) q[0];
rx(0.8981) q[1];
rz(0.598) q[1];
rx(1.5855) q[2];
rz(0.0022) q[2];
rx(-0.0032) q[3];
rz(0.9692) q[3];
rx(0.0003) q[4];
rz(0.9562) q[4];
rx(0.003) q[5];
rz(1.0908) q[5];
rx(1.5812) q[6];
rz(0.1446) q[6];
rx(1.5795) 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": []} |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [43, 11], "expectation_value": -2.7145131846887915, "params": [[-0.058300000000000005, -0.0664, -0.06720000000000001], [0.0724, 0.07440000000000001, 0.0693]], "bitstrings": ["1010100", "1110100"], "total_optimization_steps": 10, "probabilities": [0.022336841717208518, 0.028327890851137915], "optimization_tim... | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | 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(0.2041) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1749) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.0292) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.1749) q[4];
cx q[2], q[4];
cx q[1], q[4];
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": []} |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [111, 110], "expectation_value": -1.5532833853870682, "params": [-0.0022, 0.0041, -0.0021000000000000003, 0.0098, 1.7115, 0.0014, 1.7107, 0.0008, 1.4783000000000002, 0.0016, 1.7032, 0.0074, 1.7047, 0.0081, 1.7085000000000001, 0.0094, 1.4809, 0.008, 0.0032, 0.0035, 0.004, 0.0041, 0.001, 0.005200000000000001, ... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(2) @ Z(0) @ Z(5)) + -0.125 * (Z(2) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["110010001", "111000001", "110010010", "110011000", "110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0022) q[0];
rz(0.0041) q[0];
rx(-0.0021) q[1];
rz(0.0098) q[1];
rx(1.7115) q[2];
rz(0.0014) q[2];
rx(1.7107) q[3];
rz(0.0008) q[3];
rx(1.4783) q[4];
rz(0.0016) q[4];
rx(1.7032) q[5];
rz(0.0074) q[5];
rx(1.7047) q[6];
rz(0.0081) q[6];
rx(1.7085) 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": []} |
671c396aae273a05cf298c7a33ad868e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -13.364400338961318, "params": [-0.0051, 0.14550000000000002, -0.0001, 0.18530000000000002, -0.0009000000000000001, 0.22460000000000002, -0.0032, 0.2157, 0.3054, 0.00030000000000000003, 0.2995, -0.0004, 0.0005, 0.1734, -0.0022, 0.19410000000000002, -0.0021000000000000003, 0.194... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.75 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(9)) + 1.25 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000", "11011111111", "11011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0051) q[0];
rz(0.1455) q[0];
rx(-0.0009) q[1];
rz(0.2246) q[1];
rx(0.3054) q[2];
rz(0.0003) q[2];
rx(0.0005) q[3];
rz(0.1734) q[3];
rx(-0.0021) q[4];
rz(0.1942) q[4];
rx(-0.0031) q[5];
rz(0.2337) q[5];
rx(-0.0006) q[6];
rz(0.2391) q[6];
rx(-0.0002) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
5dfaa2cf04f4d47012ad430d1038cf60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [14, 142], "expectation_value": -4.143847906337284, "params": [[[-0.0235, 0.4529, 0.0015, 0.0027], [0.8007000000000001, -0.43810000000000004, 0.3951, 0.0378], [0.1721, 0.1458, 0.1355, 0.23800000000000002], [-0.0235, -0.44970000000000004, -0.013800000000000002, 0.6329], [0.0579, 0.4939, 0.0565, 0.331900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(7) + ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100001", "110101001", "101110001", "100111001", "010101011", "011100011", "010101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0235) q[0];
rz(0.4529) q[0];
ry(0.8007) q[1];
rz(-0.4381) q[1];
ry(0.1721) q[2];
rz(0.1458) q[2];
ry(-0.0235) q[3];
rz(-0.4497) q[3];
ry(0.0579) q[4];
rz(0.4939) q[4];
ry(0.0183) q[5];
rz(-0.424) q[5];
ry(-0.2) q[6];
rz(0.2386) q[6];
ry(-0.2024) 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": []} |
5599bf10ca71927ac876cacb8b12fa55 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 22], "expectation_value": -6.499899780513089, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 32, "probabilities": [1.71240040087968e-05, 0.99994995827528], "optimization_time": 37.839075326919556} | 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(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"]} | 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[3];
ry(-1.5708) q[1];
ry(-1.4449) q[0];
ry(-1.4449) q[6];
ry(1.4449) q[4];
ry(1.4384) q[2];
ry(1.4384) q[5];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[5], q[0];
cry(0.1248) q[4], q[2];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -18.173126312085227, "params": [[-0.041100000000000005, -0.013000000000000001, -0.0193], [0.06770000000000001, 0.0555, 0.0592]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.018072945811377073, 0.019525728357167586], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3288) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3288) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3288) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3288) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d9f0605187ee6304573374b82b125ec4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [598, 597], "expectation_value": -101.13287555946454, "params": [[[1.5685, 0.013000000000000001], [0.0813, 0.0086], [0.0031000000000000003, 0.0022], [1.5687, 0.8912], [0.0024000000000000002, 0.8861], [0.7723, 0.5985], [0.0027, 1.365], [0.0019, 1.5694000000000001], [2.5048, 2.4553000000000003], [1.5729, 1.568... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 6.0 * Z(0) + 9.0 * Z(1) + 16.5 * Z(3) + -6.5 * Z(2) + 2.5 * Z(4) + 14.5 * Z(5)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["0110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5685) q[0];
ry(0.0813) q[1];
ry(0.0031) q[2];
ry(1.5687) q[3];
ry(0.0024) q[4];
ry(0.7723) q[5];
ry(0.0027) q[6];
ry(0.0019) q[7];
ry(2.5048) q[8];
ry(1.5729) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
230a85f7f557e91b9fb34d72d2b743c5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.0007565866757473644, "params": [[0.0007], [-0.0026000000000000003]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.001953777699054922, 0.0019537925221355164], "optimization_time": 27.09930109977722} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(5)) + -1.75 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -1.75 * (Z(2) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"]} | 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[0];
rz(-0.0014) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0018) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0003) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0007) q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 10.493372201919556} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
cry(-1.5706) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = measure q[4];
c[5... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\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", "... |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [62, 11], "expectation_value": -2.897677674430096, "params": [[-0.16140000000000002, -0.1694, -0.1728], [0.1708, 0.17470000000000002, 0.1754]], "bitstrings": ["000001", "110100"], "total_optimization_steps": 20, "probabilities": [0.07920128597191167, 0.13038575848129616], "optimization_time": 4.7791528701782... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1614) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1614) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0807) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0807) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.1614... | OPENQASM 3.0;
include "stdgates.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": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 20.850770711898804} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.57) q[1], q[2];
ry(0.9551) q[1];
cry(1.5707) q[2], q[3];
cry(1.5689) q[3], q[4];
ry(0.3242) q[2];
cry(-1.5527) q[4], q[0];
cry(0.3837) q[2], q[1];
cry(-0.0829) q[4], q[1];
cry(0.0565) q[4], q[3];
cry(0.0649) q[3], ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... |
789dcdf1b19b10fa7d0f03ecbcdffd18 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"sour... | {"states": [405, 389], "expectation_value": -7.148158658231787, "params": [0.3981, 0.4011, 0.4058, 0.4077, -0.008, -0.0009000000000000001, -0.0027, -0.0044, 0.3911, 0.3896, -0.0076, -0.011600000000000001, 0.40700000000000003, 0.4086, 0.0431, 0.030000000000000002, 0.39880000000000004, 0.39740000000000003, 0.398300000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["101100011", "001111100", "101101010", "001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3981) q[0];
ry(0.4058) q[1];
ry(-0.008) q[2];
ry(-0.0027) q[3];
ry(0.3911) q[4];
ry(-0.0076) q[5];
ry(0.407) q[6];
ry(0.0431) q[7];
ry(0.3988) q[8];
crx(0.3912) q[8], q[0];
crx(0.1775) q[7], q[8];
crx(0.0254) q[6], q[7];
crx(0.3704) q[5], q[6];
crx(-0.077... | OPENQASM 3.0;
include "stdgates.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": []} |
45466ddcbcd55abeab47b3eb1e9b72c1 | 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": 4, "target": 7},... | {"states": [0, 1920], "expectation_value": -27.064214645865444, "params": [[[0.0023, 0.0049], [-0.0027, 0.0007], [0.0019, 0.0019], [1.603, 0.0024000000000000002], [0.0016, 0.006900000000000001], [0.0022, 0.0024000000000000002], [0.0022, 0.004], [-0.0027, 0.0037], [0.0026000000000000003, 0.0007], [0.0027, 0.0023], [0.00... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + -3.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 *... | 2 | 11 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["00001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0023) q[0];
rz(0.0049) q[0];
rx(-0.0027) q[1];
rz(0.0007) q[1];
rx(0.0019) q[2];
rz(0.0019) q[2];
rx(1.603) q[3];
rz(0.0024) q[3];
rx(0.0016) q[4];
rz(0.0069) q[4];
rx(0.0022) q[5];
rz(0.0024) q[5];
rx(0.0022) q[6];
rz(0.004) q[6];
rx(-0.0027) 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] 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": 7} | {"circuits": [], "gradients": []} |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [92, 108], "expectation_value": -1.5592739958321145, "params": [[-0.07200000000000001, -0.0563, -0.0838], [0.07730000000000001, 0.0599, 0.0727]], "bitstrings": ["0100011", "0010011"], "total_optimization_steps": 10, "probabilities": [0.015672660182931234, 0.015672660182931234], "optimization_time": 4.7813415... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.072) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.072) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.072) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(-0.072) q[1];
cx q[5], q[1];
cx q[6], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
475b2f0a232bb0d3ab64793dc24452cb | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1757, 1753], "expectation_value": -1.4648558101782037, "params": [0.5017, 0.5072, 0.49150000000000005, 0.4927, 0.2559, 0.2484, 0.5018, 0.4959, 0.49470000000000003, 0.4943, 0.003, -0.0045000000000000005, 0.5054000000000001, 0.5003000000000001, 0.5029, 0.49910000000000004, 0.2864, 0.2848, 0.2594, 0.265, 0.502... | 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)) + 0.0625 * (... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01000110010", "00100101100", "10000100110", "00110100100", "00010100110", "01100100001", "00101100... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5017) q[0];
ry(0.4915) q[1];
ry(0.2559) q[2];
ry(0.5018) q[3];
ry(0.4947) q[4];
ry(0.003) q[5];
ry(0.5054) q[6];
ry(0.5029) q[7];
ry(0.2864) q[8];
ry(0.2594) q[9];
ry(0.5028) q[10];
crx(0.4918) q[10], q[0];
crx(0.0803) q[9], q[10];
crx(0.0217) q[8], q[9... | OPENQASM 3.0;
include "stdgates.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": []} |
fc004364023d9de40312a47332ff3203 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [20, 34], "expectation_value": -1.1736266298389495, "params": [[-0.068, -0.0618, -0.0333], [0.0722, 0.0748, 0.0669]], "bitstrings": ["101011", "011101"], "total_optimization_steps": 10, "probabilities": [0.024710054069435935, 0.026357798841035444], "optimization_time": 5.632198810577393} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.068) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.068) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.068) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.068) q[5];
cx q[3], q[5];
cx q[1], q[4];
rz(-0.068... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 19.86026382446289} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5681) q[6], q[0];
ry(1.1478) q[6];
ry(-1.5681) q[3];
ry(-1.5708) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-0.6096) q[0];
cry(0.3083) q[5], q[6];
cry(-0.1297) q[5], q[0];
cry(-0.0019) q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
37b183b4dc70145272a31a80cccd7f15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [127, 125], "expectation_value": -2.732105270858093, "params": [[0.0572, 0.07300000000000001, 0.0741], [-0.0263, -0.059500000000000004, -0.0606]], "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 10, "probabilities": [0.011881644187975328, 0.01228013679888364], "optimization_time": 4.91217... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "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[4], q[0];
rz(-0.0858) q[0];
cx q[4], q[0];
cx q[0], q[6];
rz(-0.0572) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.0286) q[1];
cx q[4], q[1];
cx q[6], q[1];
rz(-0.0286) q[1];
cx q[6], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3be62d904e3c491ed9eeb750b53bffe0 | matching | adaptive_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}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [117, 109], "expectation_value": -33.31100559704856, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12248358700896955, 0.148783055868588], "optimization_time": 168.03188848495483} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[2];
ry(6.9998) q[4];
ry(63.0262) q[5];
ry(0.0732) q[7];
cry(0.062) q[4], q[2];
cry(-1.5727) q[4], q[5];
cry(63.0165) q[4], q[7];
cry(7.3243) q[7], q[2];
cry(-62.8847) q[2], q[7];
ry(0... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[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[... |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [23403, 23411], "expectation_value": -8.682020764175181, "params": null, "bitstrings": ["010010010010100", "010010010001100"], "total_optimization_steps": 100, "probabilities": [0.05696532864769518, 0.8142489515016503], "optimization_time": 518.3049857616425} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999979, "smallest_bitstrings": ["010010010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
ry(1.5708) q[14];
ry(1.5681) q[13];
ry(1.5681) q[9];
ry(1.5486) q[2];
ry(1.5486) q[6];
ry(1.5486) q[3];
cry(-1.0341) q[8], q[7];
cry(... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nry(1.5708) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... |
-8521897548794879587 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 10], [2, 4, 7, 8, 9], [0, 1, 3, 5, 6, 7, 9], [0, 1, 2, 3], [0, 1, 4, 5], [2, 5, 6, 8, 10], [1, 3, 4, 5, 8, 10], [1, 2, 4, 7, 10], [0, 2, 3, 4, 5, 7], [8, 9, 4, 1]]} | {"states": [1016, 1017], "expectation_value": -1.8194678181964532, "params": [0.2637, 0.2674, 1.6021, 1.5426, 1.0088000000000001, 1.0036, 1.5651000000000002, 1.5712000000000002, 1.5722, 1.5674000000000001, 1.5676, 1.5713000000000001, 1.5766, 1.5745, 1.6076000000000001, 1.5341, 0.5484, 0.5533, 0.47950000000000004, 0.479... | 0.5 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(8) @ Z(2)) + 0.05714285714285714 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.13333333333333333 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.4071428571428575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.359523809523809, "smallest_bitstrings": ["10000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2637) q[0];
ry(1.6021) q[1];
ry(1.0088) q[2];
ry(1.5651) q[3];
ry(1.5722) q[4];
ry(1.5676) q[5];
ry(1.5766) q[6];
ry(1.6076) q[7];
ry(0.5484) q[8];
ry(0.4795) q[9];
ry(0.8324) q[10];
crz(-0.6828) q[10], q[0];
crz(0.668) q[9], q[10];
crz(0.6495) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dca74c4464ee5c0862a21e9a873391f9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [17, 41], "expectation_value": -2.879361657335436, "params": [[-0.0034000000000000002, 0.5245000000000001, 0.6782, 0.9015000000000001, -0.0033, 0.0809, 0.8987], [-0.0031000000000000003, 0.45030000000000003, 0.4632, 0.5794, -0.0033, 0.35860000000000003, 0.8984000000000001], [-0.0034000000000000002, 0.90740000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 10 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1100110", "1001110", "1101100", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0034) q[0];
ry(0.5245) q[1];
ry(0.6782) q[2];
ry(0.9015) q[3];
ry(-0.0033) q[4];
ry(0.0809) q[5];
ry(0.8987) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(-0.0031) q[0];
ry(0.4503) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [0, 1], "expectation_value": -6.120010735508529, "params": [[[0.0024000000000000002, 0.34750000000000003], [0.0022, 0.45530000000000004], [0.003, 0.45080000000000003], [0.0007, 0.4451], [0.001, 0.4687], [0.6059, 0.0037]], [[0.0037, 0.3749], [0.0043, 0.446], [0.0026000000000000003, 0.4635], [0.0071, 0.442], [... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0024) q[0];
rz(0.3475) q[0];
rx(0.0022) q[1];
rz(0.4553) q[1];
rx(0.003) q[2];
rz(0.4508) q[2];
rx(0.0007) q[3];
rz(0.4451) q[3];
rx(0.001) q[4];
rz(0.4687) q[4];
rx(0.6059) q[5];
rz(0.0037) q[5];
rx(0.0037) q[0];
rz(0.3749) q[0];
rx(0.0043) q[1];
rz(0.44... | OPENQASM 3.0;
include "stdgates.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": []} |
4d48db3aac3054db2f0d45ca5dabaa75 | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [181, 109], "expectation_value": -7.914378321499031, "params": [[-0.0405, 0.044700000000000004], [0.0645, -0.024300000000000002]], "bitstrings": ["01001010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007083234529207411, 0.007785686394306347], "optimization_time": 2.783351182937622} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 4.0 * Z(0) + 11.0 * Z(2) + 15.0 * Z(5) + 6.5 * Z(4) + 7.5 * Z(3) + 0.5 * Z(6) + 9.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.405) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.405) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.405) q[2];
cx q[0], q[2];
cx q[5], q[4];
rz(-0.405) q[4];
cx q[5], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
fedd0ed2c2ae8c7985cdb241951633d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1926, 1414], "expectation_value": -69.07131454898207, "params": [0.5910000000000001, 0.1077, 0.38020000000000004, 0.14650000000000002, 0.6016, -0.0039000000000000003, 0.6012000000000001, 0.0976, 0.2449, 0.2031, 0.005, 0.2921, 0.033100000000000004, -0.276, 0.3689, 0.18000000000000002, 0.6022000000000001, 0.0... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(9)) + 13.5 * Z(2) + 15.0 * Z(0) + 4.5 * Z(1) + 10.0 * Z(3) + 1.0 * Z(4) + -2.5 * Z(6) + 8.5 * Z(8) + 4.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-107.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["01001111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.591) q[0];
rz(0.1077) q[0];
rx(0.3802) q[1];
rz(0.1465) q[1];
rx(0.6016) q[2];
rz(-0.0039) q[2];
rx(0.6012) q[3];
rz(0.0976) q[3];
rx(0.2449) q[4];
rz(0.2031) q[4];
rx(0.005) q[5];
rz(0.2921) q[5];
rx(0.0331) q[6];
rz(-0.276) q[6];
rx(0.3689) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
4b58c5f638de8a7d9440a4e0a8e21441 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target":... | {"states": [1023, 1019], "expectation_value": -12.479942833607295, "params": [[[-0.0088, -0.0041], [-0.0257, -0.0291], [0.0054, 0.0025], [0.0013000000000000002, -0.0025], [0.0099, -0.003], [0.0587, -0.0029000000000000002], [0.019700000000000002, -0.0028], [0.1658, 0.0005], [0.6011000000000001, -0.0063], [0.821800000000... | -0.75 * (Z(0) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["10000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0088) q[0];
ry(-0.0257) q[1];
ry(0.0054) q[2];
ry(0.0013) q[3];
ry(0.0099) q[4];
ry(0.0587) q[5];
ry(0.0197) q[6];
ry(0.1658) q[7];
ry(0.6011) q[8];
ry(0.8218) q[9];
ry(-0.0437) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
69c9ce86bfac888cdfb5b3c0db4fe232 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [0, 1023], "expectation_value": -12.143367584313781, "params": [[[0.0019, 1.6067], [0.0021000000000000003, 0.002], [0.0022, 0.003], [0.0024000000000000002, 0.0017000000000000001], [0.0022, 0.0024000000000000002], [-0.0027, -0.0015], [0.0016, 0.0019], [-0.0031000000000000003, 0.0023], [0.002, 0.00180000000000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 15 | 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;
ry(0.0019) q[0];
ry(0.0021) q[1];
ry(0.0022) q[2];
ry(0.0024) q[3];
ry(0.0022) q[4];
ry(-0.0027) q[5];
ry(0.0016) q[6];
ry(-0.0031) q[7];
ry(0.002) q[8];
ry(-0.0022) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 6} | {"circuits": [], "gradients": []} |
cccde4707d298ae394e20cc161e11586 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -14.079258893062548, "params": [-0.003, -0.3597, 0.0017000000000000001, -0.3617, 0.0045000000000000005, -0.36960000000000004, -0.0041, -0.3764, 0.0006000000000000001, -0.3089, 0.005, -0.3155, 0.004200000000000001, -0.3629, -0.007200000000000001, -0.3743, 0.004200000000000001, -0.... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 5 | 9 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.003) q[0];
rz(-0.3597) q[0];
rx(0.0045) q[1];
rz(-0.3696) q[1];
rx(0.0006) q[2];
rz(-0.3089) q[2];
rx(0.0042) q[3];
rz(-0.3629) q[3];
rx(0.0042) q[4];
rz(-0.3641) q[4];
rx(0.2894) q[5];
rz(0.0604) q[5];
rx(0.0072) q[6];
rz(-0.2591) q[6];
rx(0.0038) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2e6ea11e2a4f0b1c9b569231867d91ab | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 19], "expectation_value": -0.13251733337835894, "params": [[0.06330000000000001], [-0.0522]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.008497923370192027, 0.008498500763561309], "optimization_time": 1.4586799144744873} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011011", "1101001", "1011001", "1101100"]} | 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(0.0633) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0633) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0633) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0633) q[5];
cx q[0], q[5];
cx q[3], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
ce16507f4df4b68459e3b5a73265e8de | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [892, 1023], "expectation_value": -0.07360960224948902, "params": [[0.017], [-0.0245]], "bitstrings": ["0010000011", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001012633049545712, 0.0010142678756264528], "optimization_time": 1.7502799034118652} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.051) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.068) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.017) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.017) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 7} | {"circuits": [], "gradients": []} |
9c17189069c29dbfeba70f5c04497777 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1792, 1799], "expectation_value": -2.563358392945941, "params": [[-0.0712], [0.07390000000000001]], "bitstrings": ["00011111111", "00011111000"], "total_optimization_steps": 10, "probabilities": [0.0009998008331023147, 0.00105268529164705], "optimization_time": 0.8445940017700195} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(0.2136) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2136) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0712) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.4272) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 5} | {"circuits": [], "gradients": []} |
4c4da3ad491bff88a89c5a8ec3c34597 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 2, "sourc... | {"states": [492, 220], "expectation_value": -22.94205742011787, "params": null, "bitstrings": ["000010011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06607608965990223, 0.10720124909597452], "optimization_time": 163.98894691467285} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 8.0 * Z(1) + 5.0 * Z(0) + 8.0 * Z(2) + 16.5 * Z(4) + 6.0 * Z(3) + 8.5 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(38.6317) q[4];
ry(4.8278) q[6];
ry(4.0045) q[7];
ry(14.2407) q[2];
cry(-10.0502) q[2], q[4];
ry(10.2077) q[3];
cry(-19.2459) q[8], q[4];
cry(-34.4083) q[1], q[4];
ry(4.4163) q[5];
cry(-... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(38.6317) 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] = ... |
dc8d8192875a870155e97d71f583812a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [193, 201], "expectation_value": -5.576377215027317, "params": [0.5993, -0.0022, 0.6075, -0.0018000000000000002, -0.0001, -0.3154, 0.0663, -0.0064, 0.6072000000000001, -0.0015, 0.0036000000000000003, 0.273, 0.1872, -0.1668, 0.6034, 0.0183, 0.6052000000000001, -0.0023, 0.6047, -0.0011, 0.008400000000000001, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5993) q[0];
rz(-0.0022) q[0];
rx(0.6075) q[1];
rz(-0.0018) q[1];
rx(-0.0001) q[2];
rz(-0.3154) q[2];
rx(0.0663) q[3];
rz(-0.0064) q[3];
rx(0.6072) q[4];
rz(-0.0015) q[4];
rx(0.0036) q[5];
rz(0.273) q[5];
rx(0.1872) q[6];
rz(-0.1668) q[6];
rx(0.6034) 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": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236556, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.1380348713554944, 0.6661905481251051], "optimization_time": 821.152667760849} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(1.5709) q[5];
ry(1.5709) q[3];
cry(1.5708) q[3], q[14];
cry(1.5708) q[5], q[8];
cry(1.5708) q[5], q[15];
cry(1.5708) q[3]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
9396e0c9eb600561a2275b0f49d5c223 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [2478, 3502], "expectation_value": -1.71470758604891, "params": [0.6806, -0.0091, 0.43910000000000005, 0.2258, 0.3373, 0.2384, 0.6964, 0.1153, 0.6917, -0.0048000000000000004, 0.0956, 0.29400000000000004, 0.46180000000000004, 0.0409, 0.20980000000000001, 0.2639, 0.6897, 0.0717, 0.6317, 0.017400000000000002, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 16 | 12 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6806) q[0];
rz(-0.0091) q[0];
rx(0.4391) q[1];
rz(0.2258) q[1];
rx(0.3373) q[2];
rz(0.2384) q[2];
rx(0.6964) q[3];
rz(0.1153) q[3];
rx(0.6917) q[4];
rz(-0.0048) q[4];
rx(0.0956) q[5];
rz(0.294) q[5];
rx(0.4618) q[6];
rz(0.0409) q[6];
rx(0.2098) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
8b93e94e7d120e46148ad446833ed9fa | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [511, 2047], "expectation_value": -15.556105257190262, "params": null, "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.07933452171558274, 0.2564704571200824], "optimization_time": 295.2875952720642} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"]} | 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[7], q[2];
cry(1.5668) q[2], q[5];
cry(0.5729) q[5], q[6];
cry(0.5855) q[5], q[7];
cry(1.263) q[2], q[4];
cry(-0.4777) q[4], q[6];
cry(0.0475) q[2], q[6];
r... | null | {"node": 11} | {"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[7], 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[... |
1447728269418454407 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 6], [0, 4], [8, 4, 5]]} | {"states": [333, 186], "expectation_value": -0.4459852059096132, "params": [[0.2528], [-0.2432]], "bitstrings": ["010110010", "101000101"], "total_optimization_steps": 30, "probabilities": [0.004085789946069062, 0.0041181449135524305], "optimization_time": 8.993224620819092} | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.283333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2833333333333337, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.2528) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0421) q[3];
cx q[2], q[3];
cx q[3], q[0];
rz(0.0253) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(0.0421) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
9166bed2e29ff69e5428606133a6b7da | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [360, 504], "expectation_value": -14.686122867869134, "params": null, "bitstrings": ["010010111", "000000111"], "total_optimization_steps": 100, "probabilities": [0.11063517094406215, 0.5491237941722557], "optimization_time": 173.30860304832458} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"]} | 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[5], q[1];
cry(1.5709) q[1], q[0];
cry(0.908) q[0], q[2];
cry(1.1165) q[0], q[5];
cry(-1.2207) q[0], q[1];
ry(0.0123) q[1];
cry(0.0925) q[2], q[1];
cry(1.1399) q[4], q[1];
cry... | null | {"node": 9} | {"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[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
4b2b5ba04f490b1a55b5e14f626537a5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -0.7336932004633363, "params": [[0.056, 0.0805], [-0.027, -0.07150000000000001]], "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 10, "probabilities": [0.010653104877115705, 0.010653104877115708], "optimization_time": 3.240401268005371} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.056) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.056) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.056) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(0.056) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | null | {"circuits": [], "gradients": []} |
bf3fdbc9f49ab5a160ae1535c0470d82 | 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": 0, "target": 4}, {"s... | {"states": [8191, 8184], "expectation_value": -31.905416257753597, "params": [[[-0.0022, 3.1438], [-0.0028, -0.0026000000000000003], [-0.0033, -0.0029000000000000002], [-0.0032, -0.003], [-0.0027, -0.0029000000000000002], [-0.0029000000000000002, -0.0028], [-0.0019, -0.0026000000000000003], [-0.0022, 0.0022], [-0.0027,... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.0... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0022) q[0];
ry(-0.0028) q[1];
ry(-0.0033) q[2];
ry(-0.0032) q[3];
ry(-0.0027) q[4];
ry(-0.0029) q[5];
ry(-0.0019) q[6];
ry(-0.0022) q[7];
ry(-0.0027) q[8];
ry(-0.0027) q[9];
ry(1.5933) q[10];
ry(1.2779) q[11];
ry(-0.0024) q[12];
cx q[12], q[0];
cx q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 12} | {"circuits": [], "gradients": []} |
060a07682fdbb96d13a3e093ec5b6b67 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [16159, 15903], "expectation_value": -1.950305622785689, "params": [[0.0529], [-0.0442]], "bitstrings": ["00000011100000", "00000111100000"], "total_optimization_steps": 10, "probabilities": [0.00010870032635654349, 0.00011101579838521884], "optimization_time": 74.73815894126892} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + 0... | 10 | 14 | 1 | {"smallest_eigenvalues": [-41.999999999999574], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.99999999999947, "smallest_bitstrings": ["00000111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(-0.2645) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1587) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2645) q[2];
cx q[0], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx... | {"node": 6} | {"circuits": [], "gradients": []} |
ee818e8b77e87d0e69dea2e46f987917 | 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": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [0, 1016], "expectation_value": -15.446618177213821, "params": [-0.0316, 2.1923, 0.7342000000000001, 0.0012000000000000001, 0.9299000000000001, 0.8731, -0.8392000000000001, 0.0077, -0.9903000000000001, 1.2215, 0.0429, 0.009300000000000001, -1.0208000000000002, 1.762, -0.48850000000000005, 0.0082, -1.0017, 1.... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0316) q[0];
rz(2.1923) q[0];
rx(0.9299) q[1];
rz(0.8731) q[1];
rx(-0.9903) q[2];
rz(1.2215) q[2];
rx(-1.0208) q[3];
rz(1.762) q[3];
rx(-1.0017) q[4];
rz(1.797) q[4];
rx(-0.9311) q[5];
rz(1.973) q[5];
rx(-0.5544) q[6];
rz(2.0075) q[6];
rx(-0.0034) 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": 8} | {"circuits": [], "gradients": []} |
-7534419039873654300 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [3, 5], [0, 2], [4, 5], [6, 7]]} | {"states": [134, 133], "expectation_value": -2.1788220120142747, "params": null, "bitstrings": ["01111001", "01111010"], "total_optimization_steps": 55, "probabilities": [0.04965931498158089, 0.7576164907863046], "optimization_time": 70.50842070579529} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100110", "10011001", "10011010", "00100101", "01111010", "01111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[4];
ry(0.971) q[5];
cry(-1.3758) q[5], q[3];
ry(-0.6611) q[4];
cry(-1.0342) q[7], q[6];
cry(-1.0342) q[0], q[2];
ry(0.7884) q[0];
ry(0.7003) q[7];
cry(0.3389) q[7], q[5];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30715, 30719], "expectation_value": -17.663971934902477, "params": [[[1.2451, 0.0412, 0.0014, 0.0053], [-0.5056, -0.0476, 0.3246, 0.0055000000000000005], [1.2317, -0.0398, 0.0031000000000000003, -0.0407], [0.0023, 1.0914000000000001, 0.0025, 0.0082], [1.1686, -0.039, 0.0078000000000000005, -0.0391], [0.6172... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 12 | 15 | 3 | {"smallest_eigenvalues": [-18.62499999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.374999999999375, "smallest_bitstrings": ["000100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(1.2451) q[0];
rz(0.0412) q[0];
ry(-0.5056) q[1];
rz(-0.0476) q[1];
ry(1.2317) q[2];
rz(-0.0398) q[2];
ry(0.0023) q[3];
rz(1.0914) q[3];
ry(1.1686) q[4];
rz(-0.039) q[4];
ry(0.6172) q[5];
rz(0.0301) q[5];
ry(-0.0047) q[6];
rz(-0.0059) q[6];
ry(0.2335) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6895315839959659397 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 6, 7, 8], [1, 3, 5, 6, 7, 8], [2, 4, 6], [0, 2, 3, 4, 5, 8], [0, 3, 4, 6], [0, 3, 5, 6, 7, 8], [1, 4, 6, 7], [0, 1, 5], [8, 4, 5, 6], [8, 2, 4, 7], [1, 2, 3, 4]]} | {"states": [485, 237], "expectation_value": -1.0360807784619115, "params": [[-0.2456], [0.2555]], "bitstrings": ["000011010", "100010010"], "total_optimization_steps": 30, "probabilities": [0.0039669707034932535, 0.003973542477643866], "optimization_time": 2.070307970046997} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.15 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(2)) + 0.15 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.4333333333333336, -2.4333333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.383333333333333, "smallest_bitstrings": ["100010010", "000011010"]} | 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(-0.0982) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0573) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0327) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0737) q[6];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
abdf85907730406a95d935d03e88749b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 2}, {"sour... | {"states": [85, 87], "expectation_value": -6.517767102113012, "params": [[-0.0019, 0.0011, 1.048, -0.0023, 1.0525, 0.003, 1.3865, 0.4889, 1.3808], [-0.0024000000000000002, 0.0028, 1.0505, -0.0022, 1.0483, 0.0031000000000000003, 0.6871, 0.049600000000000005, 0.6999000000000001], [-0.0018000000000000002, -0.001, 1.0518, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(3) + -2.0 * Z(0) + -0.5 *... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["110101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0019) q[0];
ry(0.0011) q[1];
ry(1.048) q[2];
ry(-0.0023) q[3];
ry(1.0525) q[4];
ry(0.003) q[5];
ry(1.3865) q[6];
ry(0.4889) q[7];
ry(1.3808) 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];
cz... | OPENQASM 3.0;
include "stdgates.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": []} |
-9149308513777593156 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[3, 4, 7, 9, 13], [0, 2, 5, 7, 13], [0, 2, 3, 7, 8], [2, 10, 4], [4, 8, 11, 12, 13], [8, 3, 11], [2, 3, 7, 8, 13], [1, 2, 3, 10, 12], [10, 12, 13], [0, 3, 6], [0, 1, 7, 12, 13], [0, 2, 9, 10, 11], [8, 0, 10], [0, 9, 2, 7], [8, 9, 5, 0], [8, 9, 6, ... | {"states": [14174, 15411], "expectation_value": -3.2902897376997804, "params": [[0.2772], [-0.2843]], "bitstrings": ["00100010100001", "00001111001100"], "total_optimization_steps": 30, "probabilities": [0.00036315795768817146, 0.0003684425290887464], "optimization_time": 14.020605325698853} | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.05 * (Z(9) @ Z(4)) + 0.3 * (Z(9) @ Z(3)) + 0.26666666666666666 * (Z(9) @ Z(7)) + 0.1 * (Z(13) @ Z(4)) + 0.26666666666666666 * (Z(13) @ Z(3)) + 0.2 * (Z(13) @ Z(7)) + 0.05 * (Z(13) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(3)) + 0.2333... | 1 | 14 | 1 | {"smallest_eigenvalues": [-5.883333333333305], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.883333333333295, "smallest_bitstrings": ["00001111001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[4], q[3];
rz(0.0277) q[3];
cx q[4], q[3];
cx q[4], q[7];
rz(0.0277) q[7];
cx q[4], q[7];
cx q[3], q[7];
rz(0.0832) q[7];
cx q[3], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 19.576551914215088} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["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];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[3], q[0];
cry(0.1216) q[0], q[5];
cry(0.1188) q[0], 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
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