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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [249, 255], "expectation_value": -7.8751195237897305, "params": null, "bitstrings": ["100000110", "100000000"], "total_optimization_steps": 100, "probabilities": [0.09883381340574654, 0.5906337854985387], "optimization_time": 207.75863933563232} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"]} | 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[4], q[5];
ry(1.5681) q[2];
ry(0.9553) q[4];
ry(0.5028) q[5];
ry(1.5652) q[1];
cry(1.5681) q[2], q[3];
cry(1.5626) q[6], q[7];
cry(1.5361) q[7], q[8];
cry(-1.5626) q[8], q[0];... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[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];\nc... |
1b85dbadf49d5e00f9e47be861e776c4 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -2.4223031962057213, "params": [[-0.007200000000000001, 0.1297, 0.1645], [0.1431, -0.08990000000000001, -0.1424]], "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 20, "probabilities": [0.022705424014745224, 0.022705424014745235], "optimization_time": 10.184030... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0072) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0072) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0072) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0072) q[3];
cx q[0], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
1165a939f408e1a342fff219e2bcebde | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [8150, 7126], "expectation_value": -2.5122491167826464, "params": [[[1.1006, -0.0017000000000000001], [1.1046, 0.002], [0.6980000000000001, -0.19140000000000001], [1.0938, 0.0016], [1.1066, -0.0024000000000000002], [1.0958, 0.0019], [1.1087, -0.0011], [0.3375, -0.38670000000000004], [1.0963, 0.0027], [0.002,... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 2 | {"smallest_eigenvalues": [-5.125, -5.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.125, "smallest_bitstrings": ["0010000101001", "0001000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.1006) q[0];
rz(-0.0017) q[0];
rx(1.1046) q[1];
rz(0.002) q[1];
rx(0.698) q[2];
rz(-0.1914) q[2];
rx(1.0938) q[3];
rz(0.0016) q[3];
rx(1.1066) q[4];
rz(-0.0024) q[4];
rx(1.0958) q[5];
rz(0.0019) q[5];
rx(1.1087) q[6];
rz(-0.0011) q[6];
rx(0.3375) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d7d7a914f5c5b10bb66230237db17fae | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [509, 508], "expectation_value": -0.8945998246129048, "params": [[-0.0742], [0.06770000000000001]], "bitstrings": ["000000010", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003078478539380082, 0.0030826436097484157], "optimization_time": 2.2424373626708984} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000011"]} | 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(0.2226) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2226) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2226) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.2968) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | {"node": 7} | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 144.67294001579285} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[1];
ry(26.9543) q[4];
cry(5.0747) q[4], q[1];
ry(10.6339) q[3];
ry(63.516) q[6];
cry(62.7114) q[4], q[6];
cry(62.7787) q[1], q[6];
ry(2.3034) q[2];
cry(16.178) q[2], q[6];
ry(1.1707) ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[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[... |
c2160dfdbad38c3b1811a7e58cf0a6d6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [746, 618], "expectation_value": -81.1027787751553, "params": [[[0.38570000000000004, -0.0023], [0.11320000000000001, -0.0033], [0.3875, 0.0613], [0.448, 0.21300000000000002], [0.7801, 0.3023], [0.050100000000000006, 0.2265], [0.748, 0.34540000000000004], [-0.0504, 0.5305], [0.798, 0.7747], [0.5712, 0.257300... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(8)) + 2.5 * Z(0) + 2.5 * Z(1) + 12.5 * Z(3) + 12.0 * Z(2) + 13.5 * Z(4) + -6.0 * Z(5) + 0.5 * Z(7) + 7.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["0110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3857) q[0];
ry(0.1132) q[1];
ry(0.3875) q[2];
ry(0.448) q[3];
ry(0.7801) q[4];
ry(0.0501) q[5];
ry(0.748) q[6];
ry(-0.0504) q[7];
ry(0.798) q[8];
ry(0.5712) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -0.617558959053949, "params": [[0.0687, 0.0608], [-0.0587, -0.056900000000000006]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.012899398915038052, 0.013073476930989534], "optimization_time": 4.41314959526062} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(-0.0687) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1031) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0687) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0687) q[1];
cx q[2], q[1];
cx q[5], 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
6677523700018337187 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 3, 4], [1, 4, 7], [5, 7], [0, 2, 5], [2, 4], [6, 7], [0, 6], [3, 4, 5], [1, 2], [3, 7], [4, 6]]} | {"states": [205, 201], "expectation_value": -0.11483349121649611, "params": [0.7014, -0.0011, 0.6977, 0.0043, 0.7102, -0.0013000000000000002, 0.7087, 0.006900000000000001, 0.6965, 0.0053, 0.6947, 0.007200000000000001, 0.7008, -0.0037, 0.6975, 0.0097, 0.7081000000000001, -0.0012000000000000001, 0.7051000000000001, 0.004... | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.166666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7014) q[0];
rz(-0.0011) q[0];
rx(0.7102) q[1];
rz(-0.0013) q[1];
rx(0.6965) q[2];
rz(0.0053) q[2];
rx(0.7008) q[3];
rz(-0.0037) q[3];
rx(0.7081) q[4];
rz(-0.0012) q[4];
rx(0.7033) q[5];
rz(-0.0049) q[5];
rx(0.7002) q[6];
rz(-0.002) q[6];
rx(0.7037) 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": []} |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -32.02583575447388, "params": [[0.0286, -0.0018000000000000002, 0.0035, -0.014100000000000001], [-0.0811, -0.0555, -0.058100000000000006, -0.032600000000000004]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008757237150717741,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2574) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2574) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2574) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2574) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 54], "expectation_value": -0.18288813654459546, "params": [[0.06910000000000001, 0.0697], [-0.0755, -0.0752]], "bitstrings": ["1000111", "1001001"], "total_optimization_steps": 10, "probabilities": [0.010041899298677725, 0.011059405998602362], "optimization_time": 4.706294775009155} | 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(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"]} | 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(0.0346) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0346) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0346) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0346) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
17639781641b88f9ffa836608d3b637d | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [22, 86], "expectation_value": -3.2871439620827387, "params": [[[0.3462, -1.3314000000000001, 0.0016, 0.0095], [-0.1816, -1.3312000000000002, 1.6063, 0.007200000000000001], [1.5862, -0.0032, -1.5839, 0.008700000000000001], [1.5868, 0.0017000000000000001, 1.5844, 0.0079], [0.39840000000000003, -0.6064, 0.1257... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3462) q[0];
rz(-1.3314) q[0];
ry(-0.1816) q[1];
rz(-1.3312) q[1];
ry(1.5862) q[2];
rz(-0.0032) q[2];
ry(1.5868) q[3];
rz(0.0017) q[3];
ry(0.3984) q[4];
rz(-0.6064) q[4];
ry(-0.0123) q[5];
rz(-0.7648) q[5];
ry(1.5822) q[6];
rz(-0.0033) q[6];
ry(0.0029) 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": []} |
9290fd906dd72690f81ce955c5f0f711 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [10, 138], "expectation_value": -5.783222186622166, "params": [0.6014, -0.0009000000000000001, 0.1874, -0.1925, 0.3189, 0.0979, -0.0009000000000000001, -0.3396, 0.608, 0.0011, 0.0143, -0.28, 0.6032000000000001, -0.0031000000000000003, 0.002, 0.29710000000000003, 0.6023000000000001, 0.0027, 0.0787, 0.11950000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["01011101", "11110001", "01110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6014) q[0];
rz(-0.0009) q[0];
rx(0.1874) q[1];
rz(-0.1925) q[1];
rx(0.3189) q[2];
rz(0.0979) q[2];
rx(-0.0009) q[3];
rz(-0.3396) q[3];
rx(0.608) q[4];
rz(0.0011) q[4];
rx(0.0143) q[5];
rz(-0.28) q[5];
rx(0.6032) q[6];
rz(-0.0031) q[6];
rx(0.002) 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": []} |
e51dfcff5e0bdd7b2829bd7421abac35 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.2350023309659095, "params": [[0.057600000000000005], [-0.0468]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011852432916471135, 0.0012006429612198533], "optimization_time": 4.044373035430908} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110", "1111111100"]} | 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[4], q[0];
rz(-0.0864) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0576) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0576) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0864) q[1];
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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [62, 31], "expectation_value": -2.294074641366377, "params": [[0.0704, 0.0819], [-0.057600000000000005, -0.0805]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.029849343023828686, 0.031110568267412788], "optimization_time": 2.1617722511291504} | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.1408) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.4224) q[1];
cx q[2], q[1];
cx q[0], q[5];
rz(0.176) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0.2112) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(-0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ed50d737bfc970f4ee48d3d53e464a9a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [0, 4032], "expectation_value": -52.810906824373774, "params": [[[0.0022, 0.0025], [0.0023, 0.0013000000000000002], [0.0023, 0.0051], [0.0022, 0.0085], [0.7601, 0.0023], [1.6082, 0.007500000000000001], [0.0019, 0.0058000000000000005], [0.0021000000000000003, 0.006900000000000001], [-0.0027, 0.0061], [0.0027,... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + -3.0 * (Z(6) @ Z(7)) + -3.5... | 2 | 12 | 1 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["000000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0022) q[0];
rz(0.0025) q[0];
rx(0.0023) q[1];
rz(0.0013) q[1];
rx(0.0023) q[2];
rz(0.0051) q[2];
rx(0.0022) q[3];
rz(0.0085) q[3];
rx(0.7601) q[4];
rz(0.0023) q[4];
rx(1.6082) q[5];
rz(0.0075) q[5];
rx(0.0019) q[6];
rz(0.0058) q[6];
rx(0.0021) 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] x2;
input float[64] x3;
input float[6... | {"node": 11} | {"circuits": [], "gradients": []} |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -11.249999925008895, "params": null, "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 23, "probabilities": [8.328080276446107e-09, 0.9999999833339751], "optimization_time": 33.054131746292114} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5706) q[1];
ry(-1.5706) q[2];
ry(-1.5706) q[7];
ry(-1.5681) q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[6];
cry(-0.0027) q[8], q[4];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [13, 7], "expectation_value": -3.3800946265418665, "params": [[0.06520000000000001, 0.0651, 0.055200000000000006], [-0.041600000000000005, -0.0603, -0.06470000000000001]], "bitstrings": ["110010", "111000"], "total_optimization_steps": 10, "probabilities": [0.035430555913617046, 0.03543055591361707], "optimi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | 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(0.2282) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2282) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2282) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2282) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2282... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
7e25bc80cdf895181c3cb661afbef0b1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [0, 127], "expectation_value": -9.59604557294124, "params": [[[0.0027, 1.6093000000000002], [0.0029000000000000002, 0.0026000000000000003], [0.0032, -0.0029000000000000002], [0.0016, 0.0024000000000000002], [-0.0029000000000000002, 0.0022], [0.0028, 0.0029000000000000002], [0.0025, -0.8716]]], "bitstrings": ... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 15 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000011", "0000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0027) q[0];
ry(0.0029) q[1];
ry(0.0032) q[2];
ry(0.0016) q[3];
ry(-0.0029) q[4];
ry(0.0028) q[5];
ry(0.0025) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.6093) q[0];
ry(0.0026) 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] 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;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} |
6073454407729675819 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [2, 3, 5], [0, 4, 6], [0, 1, 3, 4, 5], [0, 1, 5, 6], [2, 4, 5], [6, 7]]} | {"states": [142, 157], "expectation_value": -2.137335014829013, "params": null, "bitstrings": ["01110001", "01100010"], "total_optimization_steps": 49, "probabilities": [0.03876895941282134, 0.7904497049758561], "optimization_time": 65.29247617721558} | 0.5 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666663, "smallest_bitstrings": ["01100010"]} | 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(1.4845) q[5];
ry(1.0584) q[0];
cry(-1.047) q[7], q[6];
ry(0.7046) q[7];
cry(-0.7068) q[3], q[6];
cry(1.1651) q[7], q[3];
cry(-0.2457) q[0], q[6];
cry(0.5229) q[3], q[7];
cry(0.4427) q[5], q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4845) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.49999860226469517, "params": [[0.024300000000000002, 0.0303], [-0.032, -0.033100000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00975965263750321, 0.009831656956453692], "optimization_time": 4.167270183563232} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0243) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0122) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.0608) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0486) q[6];
cx q[0], q[6];
cx q[5], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 25.257461071014404} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[3], q[1];
cry(-0.1259) q[4], q[2];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -2.2837616310956133, "params": [[0.0328, -0.015000000000000001, -0.042800000000000005, -0.056600000000000004], [-0.0492, -0.0354, 0.010700000000000001, 0.051000000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01345798090636... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0984) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0656) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0656) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0328) q[4];
cx q[2], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
bf94e6406551047eb54e98577948dda2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.585027055732153, "params": [-0.0035, 1.9381000000000002, 0.0026000000000000003, 0.6087, 0.0038, 1.8641, -0.0059, 0.5644, -0.0004, 1.8604, 0.0045000000000000005, 0.5814, 0.0022, 0.7323000000000001, 0.0048000000000000004, 1.0633000000000001, 0.0037, 1.9463000000000001, -0.0061,... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 6 | 8 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0035) q[0];
rz(1.9381) q[0];
rx(0.0038) q[1];
rz(1.8641) q[1];
rx(-0.0004) q[2];
rz(1.8604) q[2];
rx(0.0022) q[3];
rz(0.7323) q[3];
rx(0.0037) q[4];
rz(1.9463) q[4];
rx(-0.7302) q[5];
rz(0.8783) q[5];
rx(0.5306) q[6];
rz(-1.0614) q[6];
rx(-0.7374) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
8039ad0cb583c24d8c620a2793c51821 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2993, 3001], "expectation_value": -2.514752342153687, "params": [0.7886000000000001, 0.7888000000000001, -0.0091, -0.013900000000000001, 0.7721, 0.7705000000000001, 0.7933, 0.7937000000000001, 0.7854, 0.7875000000000001, -0.018000000000000002, -0.0188, 0.7846000000000001, 0.7761, 0.7948000000000001, 0.786, ... | 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)) + 0.125 * (Z... | 13 | 12 | 2 | {"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], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001000... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7886) q[0];
ry(-0.0091) q[1];
ry(0.7721) q[2];
ry(0.7933) q[3];
ry(0.7854) q[4];
ry(-0.018) q[5];
ry(0.7846) q[6];
ry(0.7948) q[7];
ry(0.4394) q[8];
ry(0.1252) q[9];
ry(0.1172) q[10];
ry(0.4339) q[11];
crz(-0.1188) q[11], q[0];
crz(-0.3613) q[10], q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a4daa78eacadb4897b1342c199df0ce1 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [113, 97], "expectation_value": -1.5406811434050907, "params": [0.39740000000000003, -0.0043, 0.394, 0.0039000000000000003, 0.3975, 0.0012000000000000001, -0.0067, 0.2141, 0.3909, 0.09870000000000001, 0.3977, 0.1423, 0.40290000000000004, 0.2074, 0.396, -0.0046, 0.3894, 0.0028, 0.3907, 0.0018000000000000002, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001110", "1101001", "1101010", "0011101", "1001101", "0010111", "0011110", "0111001", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3974) q[0];
rz(-0.0043) q[0];
rx(0.394) q[1];
rz(0.0039) q[1];
rx(0.3975) q[2];
rz(0.0012) q[2];
rx(-0.0067) q[3];
rz(0.2141) q[3];
rx(0.3909) q[4];
rz(0.0987) q[4];
rx(0.3977) q[5];
rz(0.1423) q[5];
rx(0.4029) q[6];
rz(0.2074) q[6];
crz(0.2106) 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[... | null | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [427, 252], "expectation_value": -0.24138827567068397, "params": [[-0.0541, -0.0675, -0.07440000000000001], [0.0604, 0.067, 0.0694]], "bitstrings": ["001010100", "100000011"], "total_optimization_steps": 10, "probabilities": [0.0030385535021933427, 0.0030385535021933445], "optimization_time": 17.978992700576... | 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)) + 0.125 * (Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | 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(-0.0135) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0135) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0135) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0135) q[1];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 42.751654386520386} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[7], q[1];
ry(1.2027) q[7];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.5709) q[2];
ry(-1.5708) q[4];
ry(0.6315) q[1];
cry(-0.691) q[1], q[7];
cry(0.9006) q[6],... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
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": 24.645575046539307} | -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 | 1 | {"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... |
21c11211553c84ead50e336ae323da05 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 9}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [284, 316], "expectation_value": -7.567319501330671, "params": [[-0.0016, 1.5758, -0.002, -0.0031000000000000003, 0.0221, 1.5739, 0.027, 1.5761, 0.0035, -0.0021000000000000003], [1.4889000000000001, 1.5786, -0.002, -0.0031000000000000003, 1.6369, 1.5779, 1.7018, 1.5782, -0.0034000000000000002, -0.0022]], "bi... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000011", "0011100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0016) q[0];
ry(1.5758) q[1];
ry(-0.002) q[2];
ry(-0.0031) q[3];
ry(0.0221) q[4];
ry(1.5739) q[5];
ry(0.027) q[6];
ry(1.5761) q[7];
ry(0.0035) q[8];
ry(-0.0021) q[9];
cz q[9], 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -58.84587085935503, "params": [0.2808, -0.6019, 1.4955, -0.0022, 1.4944000000000002, 0.2039, 0.6785, 0.46380000000000005, 1.489, 0.021500000000000002, 1.498, 0.16740000000000002, 0.7245, 0.40140000000000003, 1.4885000000000002, -0.21300000000000002, 0.2765, 0.0044, 1.5017, 0.... | 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(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2808) q[0];
rz(-0.6019) q[0];
rx(1.4955) q[1];
rz(-0.0022) q[1];
rx(1.4944) q[2];
rz(0.2039) q[2];
rx(0.6785) q[3];
rz(0.4638) q[3];
rx(1.489) q[4];
rz(0.0215) q[4];
rx(1.498) q[5];
rz(0.1674) q[5];
rx(0.7245) q[6];
rz(0.4014) q[6];
rx(1.4885) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 35.665199995040894} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5626) q[3], q[4];
cry(1.2309) q[4], q[3];
cry(1.5708) q[3], q[1];
cry(1.5708) q[4], q[2];
ry(-0.3588) q[2];
cry(0.3588) q[3], q[2];
ry(-0.2403) q[1];
cry(0.2403) q[4], q[1];
cry(1.3676) q[1], q[5];
cry(-1.4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
62ca4fdc3f835f51dee1780376d2bf19 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [126, 122], "expectation_value": -66.37003044763365, "params": [0.2818, 0.2914, 0.7639, -0.0035, 0.7858, 0.0032, 0.7817000000000001, 0.0017000000000000001, 0.8264, 0.07980000000000001, 0.402, 0.2893, 0.7684000000000001, 0.15180000000000002, -0.0159, 0.4536, 0.28600000000000003, 0.2959, 0.7866000000000001, 0.... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2818) q[0];
rz(0.2914) q[0];
rx(0.7639) q[1];
rz(-0.0035) q[1];
rx(0.7858) q[2];
rz(0.0032) q[2];
rx(0.7817) q[3];
rz(0.0017) q[3];
rx(0.8264) q[4];
rz(0.0798) q[4];
rx(0.402) q[5];
rz(0.2893) q[5];
rx(0.7684) q[6];
rz(0.1518) q[6];
rx(-0.0159) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
1fbc8ba654b4c60abea774037bc34dde | 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": 1, "target": 2}, {"s... | {"states": [8120, 8184], "expectation_value": -20.67725141768323, "params": [-1.7226000000000001, -1.4086, 0.0027, 0.0006000000000000001, 0.3896, -0.3926, 1.7151, 1.4145, 0.0029000000000000002, 0.0029000000000000002, 0.0041, 0.0021000000000000003, 0.7882, 0.8505, -2.1624000000000003, -0.9769000000000001, 0.001800000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(9)) + -2.0 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(8) @ Z(7)) + 1.0 * (Z(11) @ Z(12)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(10) @ Z(11... | 14 | 13 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-1.7226) q[0];
ry(0.0027) q[1];
ry(0.3896) q[2];
ry(1.7151) q[3];
ry(0.0029) q[4];
ry(0.0041) q[5];
ry(0.7882) q[6];
ry(-2.1624) q[7];
ry(0.0018) q[8];
ry(0.0034) q[9];
ry(0.0018) q[10];
ry(0.0027) q[11];
ry(0.002) q[12];
crx(-0.4196) q[12], q[0];
crx(3.0... | 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[... | {"node": 10} | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 156.07059526443481} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "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(34.778) q[4];
ry(-0.2874) q[1];
ry(-19.9672) q[5];
ry(0.2906) q[7];
cry(-15.4417) q[7], q[4];
cry(-15.6787) q[7], q[1];
ry(1.8924) q[2];
ry(1.3648) q[3];
ry(0.0504) q[6];
cry(0.0242) q[3], q[6]... | 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(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
588728b8bbe9e62f1f3c4eda65772dd8 | 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": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -26.019034676355417, "params": [0.0036000000000000003, -0.5365, 0.0037, 0.0063, 0.0022, -0.5790000000000001, 0.0021000000000000003, 0.003, 0.8036000000000001, 0.050800000000000005, 0.8057000000000001, 0.0013000000000000002, 0.0023, -0.5788, 0.0023, 0.0013000000000000002, 0.0026... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(8) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(9)) + -1.0 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(1)) + -1.5 * (Z(3) @ Z(8)) + -2.0 * (Z(3) @ Z(10)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-32.75, -32.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -28.75, "smallest_bitstrings": ["11011111111", "11011011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0036) q[0];
rz(-0.5365) q[0];
rx(0.0022) q[1];
rz(-0.579) q[1];
rx(0.8036) q[2];
rz(0.0508) q[2];
rx(0.0023) q[3];
rz(-0.5788) q[3];
rx(0.0026) q[4];
rz(-0.4919) q[4];
rx(0.0027) q[5];
rz(-0.4516) q[5];
rx(0.0021) q[6];
rz(-0.4391) q[6];
rx(0.0024) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
4f469c7e46eb2af0afcc0adf37eb51e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [57, 25], "expectation_value": -2.837653460994882, "params": [0.004, 0.2301, 0.002, 0.23450000000000001, 0.17500000000000002, 0.2202, 0.1751, 0.225, 0.39430000000000004, -0.004200000000000001, 0.3971, -0.0009000000000000001, 0.2725, 0.054700000000000006, 0.2696, 0.0775, 0.0076, 0.22870000000000001, 0.0046, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.25 * Z(6) | 7 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100110", "0110110", "1001011", "1001110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.004) q[0];
rz(0.2301) q[0];
rx(0.175) q[1];
rz(0.2202) q[1];
rx(0.3943) q[2];
rz(-0.0042) q[2];
rx(0.2725) q[3];
rz(0.0547) q[3];
rx(0.0076) q[4];
rz(0.2287) q[4];
rx(0.0014) q[5];
rz(0.3048) q[5];
rx(0.3738) q[6];
rz(0.0016) q[6];
crz(0.0486) q[1], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
66118b4a39d9f94415b36602b745f3db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 63], "expectation_value": -3.9579918617006453, "params": [[[0.0027, 1.1022], [-0.0027, -0.0023], [0.0028, 0.0029000000000000002], [-0.0018000000000000002, -0.0026000000000000003], [0.0026000000000000003, 0.0023], [0.0025, -0.33190000000000003], [1.2454, 0.0022]], [[-0.3899, -1.3826], [-0.0028, -1.1465], ... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0027) q[0];
ry(-0.0027) q[1];
ry(0.0028) q[2];
ry(-0.0018) q[3];
ry(0.0026) q[4];
ry(0.0025) q[5];
ry(1.2454) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.1022) q[0];
ry(-0.0023) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [5, 1], "expectation_value": -1.6432785629398852, "params": [[-0.0629, -0.0692, -0.0723], [0.07150000000000001, 0.0746, 0.0756]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.019252015159748607, 0.02125214679561945], "optimization_time": 2.7126624584198} | -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 | 3 | {"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];
cx q[2], q[0];
rz(0.0629) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0943) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.1887) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0314) q[1];
cx q[2], q[1];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
6392584644503107042 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [0, 3, 4], [2, 4]]} | {"states": [35, 51], "expectation_value": -1.0217850958427444, "params": null, "bitstrings": ["011100", "001100"], "total_optimization_steps": 35, "probabilities": [0.12319302491743218, 0.7588569150623519], "optimization_time": 26.792179584503174} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.125 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101000", "000011", "001100", "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(1.1408) q[0];
cry(-1.0342) q[4], q[2];
ry(0.7297) q[4];
ry(-0.4801) q[2];
cry(0.4801) q[0], q[4];
cry(-0.3589) q[0], q[2];
cry(-0.4589) q[4], q[3];
ry(0.4029) q[5];
cry(-0.4512) q[0], q[3];
cry(0.249) q[5], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.1408) 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 \"stdgat... |
24e9c86cfdb3e8240ca21f54feb2ae3f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -29.65818132545019, "params": [[0.024300000000000002, 0.0082, -0.0053, -0.007500000000000001], [-0.06910000000000001, -0.06620000000000001, -0.047400000000000005, -0.038]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007702480... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | 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(0.2187) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2187) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2187) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.2187) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"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": [15, 1], "expectation_value": -2.6026480987091776, "params": [[0.0694, 0.07640000000000001, 0.0641, 0.07200000000000001], [-0.057100000000000005, -0.0728, -0.053500000000000006, -0.0608]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.07089748816790079, 0.0862150381319... | -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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.2082) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.1388) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2429) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.1041) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.1735) 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": []} |
2035269790700121570 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 5], [4, 5], [0, 3], [0, 1]]} | {"states": [49, 58], "expectation_value": -0.05561342533625128, "params": [[0.0753], [-0.0755]], "bitstrings": ["001110", "000101"], "total_optimization_steps": 10, "probabilities": [0.016687279279681586, 0.016687279279681586], "optimization_time": 0.4207422733306885} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -0.5, "smallest_bitstrings": ["100001", "101110", "010001", "110001", "100101", "000101", "001110", "010101", "101010", "011110", "111010", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(0.0753) q[1];
cx q[3], q[1];
cx q[5], q[2];
rz(0.0753) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.0753) q[4];
cx q[5], q[4];
cx q[3], q[0];
rz(0.0753) q[0];
cx q[3], q[0];
cx q[1], q[0];
rz(0.0753... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
-5249498486074332023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 4], [11, 6, 7], [9, 5, 7], [8, 11, 3], [9, 6], [10, 4, 5], [10, 11], [9, 2, 11], [11, 4, 5], [1, 4, 7], [8, 2, 5], [8, 3, 4], [1, 9], [4, 6, 7], [2, 5, 6], [8, 10, 6], [8, 5, 7], [3, 7], [8, 1, 11], [0, 9], [2, 7], [1, 3], [0, 5, 7], [9, 3], [10, 5... | {"states": [3580, 3576], "expectation_value": -4.487245503352814, "params": [1.9004, -0.002, 1.8826, -0.0009000000000000001, 0.6958000000000001, -0.7168, 1.8775000000000002, -0.004, 1.8629, 0.0031000000000000003, 1.8912, 0.0082, 1.8940000000000001, 0.07150000000000001, 1.8989, -0.0012000000000000001, 1.9107, 0.00210000... | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.5 * (Z(9) @ Z(4... | 4 | 12 | 1 | {"smallest_eigenvalues": [-7.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333331, "smallest_bitstrings": ["001000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.9004) q[0];
rz(-0.002) q[0];
rx(1.8826) q[1];
rz(-0.0009) q[1];
rx(0.6958) q[2];
rz(-0.7168) q[2];
rx(1.8775) q[3];
rz(-0.004) q[3];
rx(1.8629) q[4];
rz(0.0031) q[4];
rx(1.8912) q[5];
rz(0.0082) q[5];
rx(1.894) q[6];
rz(0.0715) q[6];
rx(1.8989) 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": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 11], "expectation_value": -0.599767249971811, "params": [[-0.08360000000000001, -0.0779, -0.075], [0.07930000000000001, 0.0737, 0.0692]], "bitstrings": ["101001", "110100"], "total_optimization_steps": 10, "probabilities": [0.027358612840323523, 0.027358612840323555], "optimization_time": 3.186017036437... | 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];
cx q[1], q[0];
rz(-0.0836) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0836) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(-0.0836) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0836) q[2];
cx q[1], q[2];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
2250420474962082172 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[1, 10, 5], [3, 13, 7], [11, 5, 6], [0, 9], [9, 4, 13, 1], [10, 5, 13, 7], [10, 11, 12, 6], [1, 4, 12], [8, 1, 12], [8, 5], [3, 12], [8, 0, 4], [11, 3, 4], [1, 3, 5], [1, 2, 6], [9, 11, 5], [8, 6], [8, 11]]} | {"states": [5079, 13255], "expectation_value": -5.437181008133927, "params": null, "bitstrings": ["10110000101000", "00110000111000"], "total_optimization_steps": 100, "probabilities": [0.06676966700582951, 0.7229839637130988], "optimization_time": 453.22073006629944} | 0.16666666666666666 * (Z(1) @ Z(10)) + 0.25 * (Z(5) @ Z(10)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(13) @ Z(10)) + 0.08333333333333333 * (Z(13) @ Z(1)) + 0.08333333333333333 * (Z(13) @ Z(5)) + 0.16666666666666666 * (Z(1... | 1 | 14 | 1 | {"smallest_eigenvalues": [-5.916666666666619], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.583333333333203, "smallest_bitstrings": ["00110000111000"]} | 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];
ry(1.5668) q[1];
cry(1.5158) q[1], q[11];
cry(-1.3598) q[6], q[8];
ry(1.2936) q[5];
cry(-1.1801) q[0], q[9];
ry(1.0666) q[0];
cry(-0.4867) q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] 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];\nry(1.5668) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc... |
0de92e456531b31a77cd245be60cab48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [189, 185], "expectation_value": -60.49906899160992, "params": [0.2927, 0.2544, 0.6953, 0.0427, 0.2827, 0.2592, 0.7003, -0.0029000000000000002, 0.6918000000000001, 0.0025, 0.6985, -0.07780000000000001, 0.38970000000000005, -0.1756, -0.0016, 0.461, 0.7032, 0.0247, 0.2861, 0.251, 0.7020000000000001, 0.0864, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(7) @ Z(8)) + 9.5 * Z(1) + 4.0 * Z(0) + 3.5 * Z(2) + 9.5 * Z(3) + 13.5 * Z(4) + 15.0 * Z(5) + 8.0 * Z(6) + 8.5 * Z... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2927) q[0];
rz(0.2544) q[0];
rx(0.6953) q[1];
rz(0.0427) q[1];
rx(0.2827) q[2];
rz(0.2592) q[2];
rx(0.7003) q[3];
rz(-0.0029) q[3];
rx(0.6918) q[4];
rz(0.0025) q[4];
rx(0.6985) q[5];
rz(-0.0778) q[5];
rx(0.3897) q[6];
rz(-0.1756) q[6];
rx(-0.0016) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
e776e7ca61722eeb2742e447edcfe87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [51, 115], "expectation_value": -11.725458731613575, "params": null, "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 47, "probabilities": [0.002725986084030044, 0.997272149847847], "optimization_time": 49.11871910095215} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "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];
ry(1.5709) q[6];
cry(1.5708) q[6], q[1];
cry(1.5708) q[1], q[2];
cry(1.5708) q[1], q[3];
cry(1.5681) q[6], q[7];
ry(-1.5486) q[0];
ry(-1.4449) q[4];
ry(-1.4416) q[5];
cry(-0.1258) q[7], q[4];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
f1640e695537484b2312e9751721a99b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -8.10992513373588, "params": [0.2772, 0.0037, 1.6294000000000002, -0.0035, 1.2304000000000002, -0.0038, 1.6362, 0.0021000000000000003, 0.1903, 0.0015, -0.797, -0.0026000000000000003, 0.2755, -0.0038, 1.6360000000000001, -0.0036000000000000003, 1.2329, -0.001, 1.5072, 1.427,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(11) + 0.5 * Z(10) | 4 | 12 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000000", "000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2772) q[0];
rz(0.0037) q[0];
rx(1.6294) q[1];
rz(-0.0035) q[1];
rx(1.2304) q[2];
rz(-0.0038) q[2];
rx(1.6362) q[3];
rz(0.0021) q[3];
rx(0.1903) q[4];
rz(0.0015) q[4];
rx(-0.797) q[5];
rz(-0.0026) q[5];
rx(0.2755) q[6];
rz(-0.0038) q[6];
rx(1.636) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 19.455673217773438} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "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];
cry(-1.5681) q[6], q[0];
ry(1.111) q[6];
ry(-1.5706) q[2];
ry(-1.5708) q[4];
ry(-0.5668) q[0];
ry(1.5576) q[3];
cry(0.3562) q[3], q[6];
cry(-0.1713) q[3], q[0];
cry(0.0835) q[1], q[6];
cry(-0.0377) 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];\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... |
06224520ded029e940b1fde3f5ab3e3b | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.5100289765183474, "params": [-0.018600000000000002, 0.008400000000000001, 0.5241, 0.5209, -0.0048000000000000004, -0.0035, 0.5256000000000001, 0.5273, -0.011600000000000001, 0.0261, 0.5212, 0.5173, 0.5337000000000001, 0.5288, 0.0105, 0.0342, -0.8105, -0.9051, 0.4746, 0.5... | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0186) q[0];
ry(0.5241) q[1];
ry(-0.0048) q[2];
ry(0.5256) q[3];
ry(-0.0116) q[4];
ry(0.5212) q[5];
ry(0.5337) q[6];
ry(0.0105) q[7];
ry(-0.8105) q[8];
ry(0.4746) q[9];
ry(0.7047) q[10];
ry(0.5015) q[11];
crz(-0.587) q[11], q[0];
crz(0.5486) q[10], q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-5751249132743867441 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [250, 218], "expectation_value": -1.7441955309687178, "params": [1.3031000000000001, 0.3824, 1.2931000000000001, 0.0089, 1.2965, 0.383, 1.2917, 0.0066, 1.0608, 0.136, 1.0622, 0.0025, 1.2925, 0.0952, 1.2917, 0.0091, 1.1072, 0.0119, 1.2911000000000001, 0.0053, 0.7731, 0.49860000000000004, 0.6842, 0.0047, 1.297... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.3031) q[0];
rz(0.3824) q[0];
rx(1.2965) q[1];
rz(0.383) q[1];
rx(1.0608) q[2];
rz(0.136) q[2];
rx(1.2925) q[3];
rz(0.0952) q[3];
rx(1.1072) q[4];
rz(0.0119) q[4];
rx(0.7731) q[5];
rz(0.4986) q[5];
rx(1.2978) q[6];
rz(0.0368) q[6];
rx(0.2944) q[7];
rz(0.56... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.2660813590230269, "params": [[-0.018500000000000003, 0.044700000000000004, 0.0388, 0.012700000000000001], [0.058600000000000006, -0.0332, -0.0309, -0.0269]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.017566169264293947, 0.01756616... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ 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(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 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(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0185) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0185) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0185) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0185) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
531e4441eff4c5873b966bf834cf52d8 | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 127], "expectation_value": -0.8954588417032596, "params": [[0.0757, 0.0763], [-0.08220000000000001, -0.0796]], "bitstrings": ["100000000", "110000000"], "total_optimization_steps": 10, "probabilities": [0.004203015491915717, 0.004448843019221421], "optimization_time": 4.480219841003418} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(3)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110001000", "110000000"]} | 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(-0.0757) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0379) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0379) q[5];
cx q[0], q[5];
cx q[0], q[8];
rz(0.1514) q[8];
cx q[0], q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
468bc89be4bb55afb4a795094e477fe7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1086, 1078], "expectation_value": -133.21193860577898, "params": [0.0024000000000000002, 0.0089, 2.7952000000000004, 0.0028, -0.002, 0.0045000000000000005, 0.5847, 0.0082, -0.0025, 0.0048000000000000004, 0.8788, 0.008, 2.8021000000000003, 0.0029000000000000002, 2.8028, 0.0058000000000000005, 1.5465, 0.0005,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(7)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(10)) + -7.0 * Z(2) + 13.5 * Z(1) + 2... | 18 | 12 | 1 | {"smallest_eigenvalues": [-158.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -136.0, "smallest_bitstrings": ["101111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0024) q[0];
rz(0.0089) q[0];
rx(2.7952) q[1];
rz(0.0028) q[1];
rx(-0.002) q[2];
rz(0.0045) q[2];
rx(0.5847) q[3];
rz(0.0082) q[3];
rx(-0.0025) q[4];
rz(0.0048) q[4];
rx(0.8788) q[5];
rz(0.008) q[5];
rx(2.8021) q[6];
rz(0.0029) q[6];
rx(2.8028) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
532d7b9840f324faf47e567c6a0fdd6f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -19.024219486355108, "params": [-0.0022, 0.5296000000000001, -0.0105, 0.8181, -0.0048000000000000004, 0.5741, 0.004200000000000001, 0.9379000000000001, -0.0021000000000000003, 0.5208, -0.009000000000000001, 0.7414000000000001, -0.0012000000000000001, 0.555, -0.0018000000000000002... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0022) q[0];
rz(0.5296) q[0];
rx(-0.0048) q[1];
rz(0.5741) q[1];
rx(-0.0021) q[2];
rz(0.5208) q[2];
rx(-0.0012) q[3];
rz(0.555) q[3];
rx(0.0038) q[4];
rz(0.4381) q[4];
rx(-0.0214) q[5];
rz(0.367) q[5];
rx(0.2706) q[6];
rz(-0.1026) q[6];
rx(-0.5859) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 8.249892950057983} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5486) q[3];
ry(-1.4449) q[0];
ry(1.4416) q[2];
cry(-1.0398) q[4], q[1];
ry(0.7019) q[4];
ry(-0.4575) q[1];
cry(0.4969) q[2], q[4];
cry(-0.3761) q[2], q[1];
cry(-0.1216) q[2], q[0];
cry(0.1098) q[4], q[2];
cry(-0.02... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
cccde4707d298ae394e20cc161e11586 | 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": 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": -0.9966823224672283, "params": [[-0.0465, -0.0337], [0.0613, 0.0405]], "bitstrings": ["111111110", "111110110"], "total_optimization_steps": 10, "probabilities": [0.0031669321868480456, 0.003177720311265122], "optimization_time": 4.5633673667907715} | -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... | 1 | 9 | 2 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.0465) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0698) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0232) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.093) q[5];
cx q[4], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
48ae5229d964a116a3ebee0f6167a21b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 7, "source": ... | {"states": [2048, 2047], "expectation_value": -40.50367138092896, "params": [[[-0.008, 0.0083], [0.010700000000000001, -0.0022], [-0.0002, -0.0023], [-0.00030000000000000003, 0.0026000000000000003], [-0.0035, -0.0031000000000000003], [0.007500000000000001, 0.0029000000000000002], [0.0017000000000000001, 0.002], [0.0091... | -0.5 * (Z(0) @ Z(6)) + -1.5 * (Z(11) @ Z(0)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(11)) + -1.5 * (Z(5) @ Z(11)) + -1.75 * (Z(5) @ Z(1)) + -2.0 * (Z(8) @ Z(11)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(8)) + -3.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.008) q[0];
ry(0.0107) q[1];
ry(-0.0002) q[2];
ry(-0.0003) q[3];
ry(-0.0035) q[4];
ry(0.0075) q[5];
ry(0.0017) q[6];
ry(0.0091) q[7];
ry(0.0051) q[8];
ry(0.0049) q[9];
ry(0.0154) q[10];
ry(0.0087) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
e95c8bc22a5c03425fc32d877756198b | 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": [44, 28], "expectation_value": -3.996446952350972, "params": null, "bitstrings": ["1010011", "1100011"], "total_optimization_steps": 28, "probabilities": [0.06701298199200859, 0.929703967356024], "optimization_time": 26.431753158569336} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 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(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 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": ["1100110", "1101100", "1010011", "0011101", "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[0];
ry(-1.4449) q[6];
ry(-1.4449) q[5];
ry(1.4417) q[3];
ry(1.4384) q[4];
cry(-1.0398) q[2], q[1];
ry(0.7022) q[2];
cry(-0.1259) q[4], q[5];
ry(-0.4578) q[1];
cry(0.4969) q[3], q[2];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d1a7b7cf714c6ef8e95d1c5632642a08 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 959], "expectation_value": -7.2710508003769725, "params": [0.17170000000000002, 0.7230000000000001, -0.24780000000000002, 1.0809, 0.53, 0.277, -0.5052, 1.3257, -0.48850000000000005, 0.3252, 0.5383, 1.0266, -0.47800000000000004, 0.6157, 0.45640000000000003, 1.4012, 0.5446, 0.5872, -0.5255000000000001, 0.9... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 6 | 10 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1717) q[0];
rz(0.723) q[0];
rx(0.53) q[1];
rz(0.277) q[1];
rx(-0.4885) q[2];
rz(0.3252) q[2];
rx(-0.478) q[3];
rz(0.6157) q[3];
rx(0.5446) q[4];
rz(0.5872) q[4];
rx(0.5544) q[5];
rz(1.0683) q[5];
rx(0.5507) q[6];
rz(1.2604) q[6];
rx(-0.57) q[7];
rz(1.13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [19, 31], "expectation_value": -2.39985866460012, "params": [[-0.0023, -0.0014, 0.6905, 0.6920000000000001, -0.0015, 0.0025], [-0.6458, 0.6889000000000001, 0.6963, 0.7051000000000001, 0.6888000000000001, 0.6668000000000001], [0.6614, 0.6944, 0.6989000000000001, 0.7041000000000001, 0.6950000000000001, -0.6533... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 9 | 6 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
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];
rx(-0.0023) q[0];
rx(-0.0014) q[1];
rx(0.6905) q[2];
rx(0.692) q[3];
rx(-0.0015) q[4];
rx(0.0025) q[5];
h q[0];
h q[1];
h q[2];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b225dc27587691a09940c252e8d9e2d6 | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [112, 114], "expectation_value": -4.115392791211649, "params": [0.1457, 0.0088, 0.8077000000000001, 0.0039000000000000003, 0.8126, -0.001, 0.7991, -0.0074, 0.8026000000000001, 0.0313, 0.1733, 0.30460000000000004, 0.804, -0.0004, 0.0017000000000000001, -0.3806, 0.1499, -0.00030000000000000003, 0.8055, -0.0043... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(6) + -1.5 * Z(7) + -0.5 * Z(... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010101", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1457) q[0];
rz(0.0088) q[0];
rx(0.8077) q[1];
rz(0.0039) q[1];
rx(0.8126) q[2];
rz(-0.001) q[2];
rx(0.7991) q[3];
rz(-0.0074) q[3];
rx(0.8026) q[4];
rz(0.0313) q[4];
rx(0.1733) q[5];
rz(0.3046) q[5];
rx(0.804) q[6];
rz(-0.0004) q[6];
rx(0.0017) 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": []} |
-2728427003160877860 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [3, 4, 5, 7], [0, 1, 6], [0, 4, 5], [0, 1, 2, 7], [1, 2, 5, 7], [0, 1, 5]]} | {"states": [175, 183], "expectation_value": -2.0426061605232713, "params": null, "bitstrings": ["01010000", "01001000"], "total_optimization_steps": 47, "probabilities": [0.036680446463384996, 0.9331359946690662], "optimization_time": 74.23221373558044} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01001000"]} | 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(1.5158) q[0];
ry(1.2294) q[2];
ry(0.7803) q[5];
cry(-0.8941) q[5], q[1];
cry(0.4854) q[0], q[5];
cry(-0.783) q[3], q[4];
cry(-0.5027) q[2], q[1];
ry(0.7394) q[7];
cry(0.7114) q[5], q[6];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5158) 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[... |
159cd19d829ee4ab847c9545b38e61cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [369, 497], "expectation_value": -2.815014422427227, "params": [[[-0.0603, -0.21380000000000002, 0.00030000000000000003, 0.0009000000000000001], [0.6418, -0.17800000000000002, 0.5997, 0.0047], [-0.056900000000000006, 0.1632, 0.0056, 0.1641], [0.9643, 0.0051, 0.9456, 0.0098], [-0.4549, 0.004, 0.0028, 0.0056],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010100", "1000001110", "0011000110", "1000110100", "0011010100", "1000010101", "1000011100", "0010110100", "0100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0603) q[0];
rz(-0.2138) q[0];
ry(0.6418) q[1];
rz(-0.178) q[1];
ry(-0.0569) q[2];
rz(0.1632) q[2];
ry(0.9643) q[3];
rz(0.0051) q[3];
ry(-0.4549) q[4];
rz(0.004) q[4];
ry(0.4863) q[5];
rz(0.0129) q[5];
ry(-0.0033) q[6];
rz(0.3028) q[6];
ry(-0.0036) 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": []} |
b5e203e63ec3496219a24352650f6c69 | 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": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [171, 122], "expectation_value": -20.80765521702687, "params": [[0.0284, 0.0031000000000000003], [-0.0671, -0.0536]], "bitstrings": ["01010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008924778331418286, 0.011080709770077857], "optimization_time": 4.419830322265625} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2272) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2272) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2272) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.2272) q[3];
cx q[2], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
17debd478fb0eb69318abace866be76c | 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": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 2, "target": 1}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -0.02358994454927528, "params": [[-0.019200000000000002], [0.0085]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019747000576034847, 0.0019766228365514157], "optimization_time": 2.2839431762695312} | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -2.75 * Z(6) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.75, "smallest_bitstrings": ["111111110", "111111100", "111110100"]} | 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[6], q[0];
rz(0.0192) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.0096) q[2];
cx q[6], q[2];
cx q[2], q[1];
rz(0.048) q[1];
cx q[2], q[1];
cx q[6], q[3];
rz(0.0096) q[3];
cx q[6], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
540e4dc6cd5ba125f618f28f48205cbe | 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": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [14, 46], "expectation_value": -4.273153287407564, "params": [0.075, 0.0712, -0.018000000000000002, -0.0219, 0.2937, 0.2977, -0.0218, -0.020900000000000002, 0.38980000000000004, 0.39490000000000003, 0.3929, 0.39940000000000003, 0.394, 0.39030000000000004, -0.006200000000000001, -0.0051, 0.0719, 0.0746, -0.02... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(4) | 13 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110001", "00110101", "11000011", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.075) q[0];
ry(-0.018) q[1];
ry(0.2937) q[2];
ry(-0.0218) q[3];
ry(0.3898) q[4];
ry(0.3929) q[5];
ry(0.394) q[6];
ry(-0.0062) q[7];
crz(0.1751) q[7], q[0];
crz(-0.0005) q[6], q[7];
crz(0.0008) q[5], q[6];
crz(-0.0026) q[4], q[5];
crz(0.1929) q[3], q[4];
cr... | 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": []} |
682f7a8a829894a15c484537f301abdc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [221, 217], "expectation_value": -56.08352827766718, "params": [0.8224, 0.0098, 2.6047000000000002, 0.0018000000000000002, 2.6008, 0.0058000000000000005, 0.7681, 0.0061, 2.5974, 0.0046, 2.6078, 0.0049, 1.5382, 0.0049, 1.5329000000000002, 0.005, 2.5973, 0.0019, 0.0077, 0.0097, 0.0086, 0.0078000000000000005, 0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 1.5 * Z(0) + 12.5 * Z(2) + 19.0 * Z(1) + 21.0 * Z(4) + 1... | 18 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8224) q[0];
rz(0.0098) q[0];
rx(2.6047) q[1];
rz(0.0018) q[1];
rx(2.6008) q[2];
rz(0.0058) q[2];
rx(0.7681) q[3];
rz(0.0061) q[3];
rx(2.5974) q[4];
rz(0.0046) q[4];
rx(2.6078) q[5];
rz(0.0049) q[5];
rx(1.5382) q[6];
rz(0.0049) q[6];
rx(1.5329) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
95278a311ba4c30560050d03ad036416 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [11, 27], "expectation_value": -2.563572832079176, "params": [0.17200000000000001, 0.16920000000000002, -0.0112, -0.011600000000000001, 0.6910000000000001, 0.6803, 0.6545000000000001, 0.6852, 0.227, 0.2033, 0.8024, 0.7963, 0.7973, 0.8014, 0.5028, 0.2994, 0.7981, 0.8, 0.8103, 0.8031, 0.3113, 0.793600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(5) + -0.5 * Z(3) + -0.5 * Z... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -3.5, "smallest_bitstrings": ["1111000101", "0110011101", "1110101010", "0111010101", "1110101100", "1101010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.172) q[0];
ry(-0.0112) q[1];
ry(0.691) q[2];
ry(0.6545) q[3];
ry(0.227) q[4];
ry(0.8024) q[5];
ry(0.7973) q[6];
ry(0.5028) q[7];
ry(0.7981) q[8];
ry(0.8103) q[9];
crx(0.3113) q[9], q[0];
crx(0.7894) q[8], q[9];
crx(-0.6008) q[7], q[8];
crx(0.179) 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": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | 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": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [6, 7], "expectation_value": -6.203899622076002, "params": [[[0.0033, 0.004200000000000001], [0.0026000000000000003, 0.0046], [0.0027, 0.0059], [0.0025, 0.0012000000000000001], [0.0024000000000000002, 0.0013000000000000002], [2.1955, 0.004], [2.6766, 0.0018000000000000002], [-1.6139000000000001, 0.0049]]], "... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(0.0042) q[0];
rx(0.0026) q[1];
rz(0.0046) q[1];
rx(0.0027) q[2];
rz(0.0059) q[2];
rx(0.0025) q[3];
rz(0.0012) q[3];
rx(0.0024) q[4];
rz(0.0013) q[4];
rx(2.1955) q[5];
rz(0.004) q[5];
rx(2.6766) q[6];
rz(0.0018) q[6];
rx(-1.6139) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.686051400839932, "params": [[0.0522, 0.06670000000000001, 0.0524, 0.0748], [-0.0286, -0.0582, -0.0367, -0.055900000000000005]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.012690659997908933, 0.013066489310342995], "optimization_... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0522) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0522) q[5];
cx q[0], q[5];
cx q[4], q[3];
rz(-0.0522) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(-0.0522) q[2];
cx q[3], q[2];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-5680906425695885737 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 7], [1, 2, 3, 4, 5, 6, 8], [1, 3, 4, 5, 7], [1, 2, 3, 4, 7, 8], [0, 1, 2, 3, 5, 6, 8], [0, 8, 2, 4], [2, 5, 6, 7], [0, 1, 6, 7], [0, 2, 3, 4, 6], [2, 3, 4, 5, 7], [0, 2, 4, 5, 7], [2, 3, 6, 7], [1, 3, 4, 6, 7, 8], [1, 2, 4, 6, 7, 8]]} | {"states": [491, 319], "expectation_value": -2.1023654451658462, "params": [[0.3669], [-0.37070000000000003]], "bitstrings": ["000010100", "011000000"], "total_optimization_steps": 40, "probabilities": [0.008735166734235775, 0.008982844868710073], "optimization_time": 5.074176549911499} | 0.19047619047619047 * (Z(0) @ Z(1)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.11428571428571427 * (Z(2) @ Z(1)) + 0.20714285714285713 * (Z(2) @ Z(0)) + 0.3238095238095237... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9976190476190476], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.95, "smallest_bitstrings": ["011000000"]} | 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(0.1398) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1887) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1957) q[4];
cx q[0], q[4];
cx q[1], q[7];
rz(0.2324) q[7];
cx q[1], 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": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [12, 9], "expectation_value": -0.3219786377234739, "params": [0.3351, 0.1553, 0.32880000000000004, 0.1578, 0.309, 0.1671, 0.2964, 0.1695, 0.2827, 0.1645, 0.28550000000000003, 0.1635, 0.3436, 0.1578, 0.3382, 0.1636, 0.32930000000000004, 0.1723, 0.3075, 0.1731, 0.2817, 0.1855, 0.2232, 0.1859, 0.271400000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 5 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.3351) q[0];
rz(0.1553) q[0];
rx(0.309) q[1];
rz(0.1671) q[1];
rx(0.2827) q[2];
rz(0.1645) q[2];
rx(0.3436) q[3];
rz(0.1578) q[3];
crz(-0.0654) q[3], q[2];
crz(0.0189) q[3], q[1];
crz(-0.1051) q[3], q[0];
crz(-0.0383) q[2], q[3];
crz(0.0189) q[2], q[1];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
eb521ac2a763fb3e4b8d4f823a22ed9c | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"s... | {"states": [0, 6399], "expectation_value": -14.92154116417436, "params": [-0.19920000000000002, 0.5999, 0.5218, 0.007200000000000001, 0.6944, 0.2248, -0.6262, 0.0067, 0.0015, 1.4851, 0.0013000000000000002, 0.0092, 0.0015, 1.4817, 0.0013000000000000002, 0.0094, -0.004200000000000001, 0.9972000000000001, -0.0021000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(11) @ Z(12)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) +... | 6 | 13 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0011100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.1992) q[0];
rz(0.5999) q[0];
rx(0.6944) q[1];
rz(0.2248) q[1];
rx(0.0015) q[2];
rz(1.4851) q[2];
rx(0.0015) q[3];
rz(1.4817) q[3];
rx(-0.0042) q[4];
rz(0.9972) q[4];
rx(0.8002) q[5];
rz(0.3286) q[5];
rx(0.8325) q[6];
rz(0.6055) q[6];
rx(0.8574) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} |
8838725750373529537 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 8, 3, 7], [2, 7], [4, 6]]} | {"states": [485, 497], "expectation_value": -0.745157846124771, "params": [[0.4687], [-0.4166]], "bitstrings": ["000011010", "000001110"], "total_optimization_steps": 50, "probabilities": [0.007082010833627056, 0.007082010833627056], "optimization_time": 1.4962213039398193} | 0.5 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001111000", "011000101", "111000100", "001101100", "111010000", "00001101... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(0.4687) q[1];
cx q[5], q[1];
cx q[8], q[0];
rz(0.0781) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(0.0781) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(0.0781) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[8], q[0];
rz(x1) q[0];
cx q[8], q[0];
cx... | null | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [469, 399], "expectation_value": -0.05867403861284629, "params": [[-0.0776], [0.0713]], "bitstrings": ["000101010", "001110000"], "total_optimization_steps": 10, "probabilities": [0.0021921722477971214, 0.0021921722477971223], "optimization_time": 9.825129747390747} | 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)) + 0.125 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | 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(-0.0194) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0194) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0194) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0194) q[1];
cx q[2], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx... | null | {"circuits": [], "gradients": []} |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 31.345905780792236} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.5681) q[7], q[0];
ry(1.1478) q[7];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-0.5851) q[0];
ry(-1.3828) q[6];
ry(1.3535) q[1];
cry(0.3133) q[1], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], 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] = me... |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.4275018561830621, "params": [[0.07100000000000001], [-0.07400000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005203864193952122, 0.005240527638284692], "optimization_time": 2.0371270179748535} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0355) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1065) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.213) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0.071) q[5];
cx q[3], q[5];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6b7ed53a34b4dd2aa2503ba0aafc7221 | 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": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.723695973584359, "params": [[[0.0039000000000000003, 0.3546], [0.003, 0.4595], [-0.0005, 0.31270000000000003], [0.0016, 0.45830000000000004], [0.002, 0.4455], [0.6006, 0.0026000000000000003]], [[0.0013000000000000002, 0.3917], [0.0032, 0.45690000000000003], [0.0071, 0.4626], [... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0039) q[0];
rz(0.3546) q[0];
rx(0.003) q[1];
rz(0.4595) q[1];
rx(-0.0005) q[2];
rz(0.3127) q[2];
rx(0.0016) q[3];
rz(0.4583) q[3];
rx(0.002) q[4];
rz(0.4455) q[4];
rx(0.6006) q[5];
rz(0.0026) q[5];
rx(0.0013) q[0];
rz(0.3917) q[0];
rx(0.0032) q[1];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d75363653ef00cde7e482c2c3392dff7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [143, 191], "expectation_value": -5.589637543306164, "params": null, "bitstrings": ["101110000", "101000000"], "total_optimization_steps": 77, "probabilities": [0.21364442366040196, 0.6608383547147513], "optimization_time": 138.2932198047638} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"]} | 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(1.5708) q[5];
ry(1.5706) q[7];
cry(1.5158) q[4], q[3];
ry(1.3013) q[1];
cry(-1.3019) q[8], q[0];
ry(1.1166) q[8];
cry(1.3656) q[8], q[6];
cry(-0.6815) q[6], q[0];
cry(1.0459) q[3], q[4]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.6879467209419459, "params": [[1.3413000000000002, 1.6474, 0.2061, 1.5662, 0.1955, 1.5806, 0.2086, 1.461, 0.24020000000000002, 0.2361, 1.6622000000000001, 0.21960000000000002, 1.5534000000000001, 0.2374, 1.6720000000000002, 0.30610000000000004], [0.23950000000000002, 1.... | 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... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.021249999999951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999447, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.3413) q[0];
ry(1.6474) q[1];
ry(0.2061) q[2];
ry(1.5662) q[3];
ry(0.1955) q[4];
ry(1.5806) q[5];
ry(0.2086) q[6];
ry(1.461) q[7];
ry(0.2402) q[8];
ry(0.2361) q[9];
ry(1.6622) q[10];
ry(0.2196) q[11];
ry(1.5534) q[12];
ry(0.2374) q[13];
ry(1.672) q[14];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
ab341360a725e6b2f6204b135ea8e845 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [103, 127], "expectation_value": -1.8772216917165911, "params": [[-0.7815000000000001, 0.0009000000000000001, -0.0057, 0.658, 0.3794, -0.0043, 0.0033, -0.7785000000000001], [0.0025, -0.0024000000000000002, -0.0037, 0.0015, 0.0027, -0.0011, -0.004, 0.001], [0.7741, -0.002, -0.0071, 0.8001, 0.8032, 0.0016, 0.0... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.7815) q[0];
rx(0.0009) q[1];
rx(-0.0057) q[2];
rx(0.658) q[3];
rx(0.3794) q[4];
rx(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bbfb0a1a7359c540a9c3b0eb822e4910 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [260, 324], "expectation_value": -11.04835990523416, "params": [[[0.6227, 0.0016], [1.6865, 0.0051], [0.0019, 0.0056], [1.596, 0.0051], [0.2556, 0.0027], [0.0016, 0.0001], [0.0015, 0.0064], [1.8075, 0.0063], [0.002, 0.0077], [0.1864, 0.0024000000000000002]]], "bitstrings": ["1011111011", "1010111011"], "tota... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["0111011110", "1010111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6227) q[0];
rz(0.0016) q[0];
rx(1.6865) q[1];
rz(0.0051) q[1];
rx(0.0019) q[2];
rz(0.0056) q[2];
rx(1.596) q[3];
rz(0.0051) q[3];
rx(0.2556) q[4];
rz(0.0027) q[4];
rx(0.0016) q[5];
rz(0.0001) q[5];
rx(0.0015) q[6];
rz(0.0064) q[6];
rx(1.8075) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3386, 3450], "expectation_value": -2.7025694705237187, "params": [0.49760000000000004, 0.008400000000000001, 0.5025000000000001, 0.0067, 0.4979, -0.0031000000000000003, 0.5029, 0.0006000000000000001, 0.0944, 0.1998, 0.08710000000000001, 0.1998, 0.4939, 0.0587, 0.4979, 0.0263, 0.09040000000000001, 0.2099, 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(... | 7 | 12 | 3 | {"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], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4976) q[0];
rz(0.0084) q[0];
rx(0.4979) q[1];
rz(-0.0031) q[1];
rx(0.0944) q[2];
rz(0.1998) q[2];
rx(0.4939) q[3];
rz(0.0587) q[3];
rx(0.0904) q[4];
rz(0.2099) q[4];
rx(0.2992) q[5];
rz(0.0252) q[5];
rx(0.489) q[6];
rz(-0.0074) q[6];
rx(0.4964) 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [413, 427], "expectation_value": -0.14294672116135537, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["001100010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.002102621981492387, 0.002102621981492387], "optimization_time": 3.4413206577301025} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"]} | 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(0.0551) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0551) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0551) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0276) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -0.6464550918027965, "params": [[-0.0828], [0.0743]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01082309798403437, 0.011017739659801153], "optimization_time": 3.9821126461029053} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0828) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0828) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(0.1656) q[2];
cx q[1], q[2];
cx q[5], q[4];
rz(0.0414) q[4];
cx q[5], q[4];
cx q[2], 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] 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 ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.7068356314149072, "params": [[-0.0786, -0.0805], [0.0716, 0.0755]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.021572381126765218, 0.021572381126765235], "optimization_time": 2.8281805515289307} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ 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(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 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(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0786) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0786) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0786) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0786) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
-7074426657992859023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2], [3, 5], [0, 1, 4, 6], [4, 7]]} | {"states": [199, 211], "expectation_value": -0.6987917675935102, "params": [[-0.35900000000000004], [0.364]], "bitstrings": ["00111000", "00101100"], "total_optimization_steps": 40, "probabilities": [0.012673045815315429, 0.012673045815315429], "optimization_time": 1.3523876667022705} | 0.5 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9999999999999996, "smallest_bitstrings": ["00111000", "00101100"]} | 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[6], q[2];
rz(-0.359) q[2];
cx q[6], q[2];
cx q[6], q[0];
rz(-0.0598) q[0];
cx q[6], q[0];
cx q[2], q[0];
rz(-0.1197) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(-0.0598) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[6], q[2];
rz(x0) q[2];
cx q[6],... | null | {"circuits": [], "gradients": []} |
3c9c101d3ca31818a58dc6d661f912ad | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -14.148005229503223, "params": [0.0015, 0.1534, 0.0014, 0.15180000000000002, 0.0058000000000000005, 0.1272, 0.0018000000000000002, 0.15610000000000002, -0.0009000000000000001, 0.12350000000000001, 0.0058000000000000005, 0.15940000000000001, 0.0021000000000000003, 0.16090000000000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0015) q[0];
rz(0.1534) q[0];
rx(0.0058) q[1];
rz(0.1272) q[1];
rx(-0.0009) q[2];
rz(0.1235) q[2];
rx(0.0021) q[3];
rz(0.1609) q[3];
rx(0.003) q[4];
rz(0.1546) q[4];
rx(0.0024) q[5];
rz(0.1437) q[5];
rx(0.0075) q[6];
rz(0.0983) q[6];
rx(0.0003) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -4.3350456588334705, "params": [[[0.2434, 0.21050000000000002], [0.26940000000000003, -0.1885], [0.1023, -0.2924], [0.6865, 0.0], [0.5834, -0.0005]], [[0.23850000000000002, 0.2106], [0.2662, 0.19], [0.1022, -0.2923], [0.6869000000000001, 0.0], [0.5783, -0.0005]], [[0.239700000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.2434) q[0];
rz(0.2105) q[0];
rx(0.2694) q[1];
rz(-0.1885) q[1];
rx(0.1023) q[2];
rz(-0.2924) q[2];
rx(0.6865) q[3];
rz(0) q[3];
rx(0.5834) q[4];
rz(-0.0005) q[4];
rx(0.2385) q[0];
rz(0.2106) q[0];
rx(0.2662) q[1];
rz(0.19) q[1];
rx(0.1022) q[2];
rz(-0.292... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
410a620476bb1ab89428221268021245 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 20.66272783279419} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"]} | 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];
cry(-1.0343) q[0], q[4];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(0.7003) q[0];
ry(-0.4549) q[2];
ry(-0.4549) q[4];
cry(0.4578) q[3], 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[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", ... |
d6991d057b315b177a32f1a4a2aac75c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [82, 26], "expectation_value": -1.1832724969001744, "params": [[0.0631, 0.0649, 0.0829], [-0.0625, -0.0507, -0.0756]], "bitstrings": ["0101101", "1100101"], "total_optimization_steps": 10, "probabilities": [0.013746256977673047, 0.013746256977673055], "optimization_time": 4.627152919769287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -2.0 * Z(4) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111100", "1100101", "1110100", "0101101", "1011100"]} | 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(0.0631) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0631) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0631) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0631) q[4];
cx q[1], q[4];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 14.95491909980774} | -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) | 1 | 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;
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(-1.5681) q[3];
ry(-1.5681) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
cry(-0.1188) q[6], q[5];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[3];
c[0]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
fb3661142d8e003905bb73659b60c8ab | 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": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1227, 1243], "expectation_value": -3.2209666098673284, "params": [0.5259, 0.5156000000000001, 0.0007, 0.0035, -0.0089, -0.0054, 0.5312, 0.5329, 0.5353, 0.5325, 0.060500000000000005, 0.06420000000000001, 0.3134, 0.3113, 0.5195000000000001, 0.5222, -0.006900000000000001, -0.0088, 0.5246000000000001, 0.5166000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010001", "01010010100", "10100010100", "01100100100", "01010100100", "01101000001... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5259) q[0];
ry(0.0007) q[1];
ry(-0.0089) q[2];
ry(0.5312) q[3];
ry(0.5353) q[4];
ry(0.0605) q[5];
ry(0.3134) q[6];
ry(0.5195) q[7];
ry(-0.0069) q[8];
ry(0.5246) q[9];
ry(0.5336) q[10];
crz(0.0112) q[10], q[0];
crz(-0.0096) q[9], q[10];
crz(0.3561) q[8],... | 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": []} |
e25375c2d0d05abe9c971ec0baf3e172 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -11.06692496024283, "params": [[0.043000000000000003], [-0.0704]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.0041110939667076225, 0.004713016680976974], "optimization_time": 2.0490198135375977} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101010001"]} | 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(0.387) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.387) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.387) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.387) q[2];
cx q[3], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
f15718e6d4296c5c025e3fcbce33b7f7 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [216, 184], "expectation_value": -3.6008512561330077, "params": [0.6681, 0.47290000000000004, 0.6341, 0.0058000000000000005, 0.8079000000000001, 0.4511, 0.7995, 0.0038, 0.8027000000000001, 0.3971, 0.7919, 0.0077, 0.7992, 0.5193, 0.7998000000000001, 0.0055000000000000005, 0.8087000000000001, -0.0016, 0.8085, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + ... | 7 | 9 | 1 | {"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": ["101010011", "100110011", "101000111", "011000111", "010100111", "100100111", "110110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6681) q[0];
rz(0.4729) q[0];
rx(0.8079) q[1];
rz(0.4511) q[1];
rx(0.8027) q[2];
rz(0.3971) q[2];
rx(0.7992) q[3];
rz(0.5193) q[3];
rx(0.8087) q[4];
rz(-0.0016) q[4];
rx(0.8085) q[5];
rz(0.0005) q[5];
rx(0.1892) q[6];
rz(0.2917) q[6];
rx(-0.0122) 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": []} |
f50060a2166415b4f3de446312c96142 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"s... | {"states": [0, 8191], "expectation_value": -41.67722684843049, "params": [[[-0.0023, 1.6031], [0.0019, 0.002], [0.0019, 0.002], [0.0021000000000000003, 0.0019], [0.0017000000000000001, 0.0019], [0.0018000000000000002, 0.0019], [-0.003, 0.0022], [0.002, 0.0027], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.... | -2.5 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -2.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-47.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0023) q[0];
ry(0.0019) q[1];
ry(0.0019) q[2];
ry(0.0021) q[3];
ry(0.0017) q[4];
ry(0.0018) q[5];
ry(-0.003) q[6];
ry(0.002) q[7];
ry(0.0021) q[8];
ry(0.0021) q[9];
ry(0.0024) q[10];
ry(0.0024) q[11];
ry(0.0021) q[12];
cx q[12], q[0];
cx q[11], q[12];
c... | 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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2]... | {"node": 12} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -1.6979388665725605, "params": [[0.0558, 0.0216], [-0.0504, -0.026000000000000002]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.0197333095333666, 0.020208742899256164], "optimization_time": 3.679422378540039} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1953) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1953) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1953) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2232) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1953... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
61fda57ae3beee34bc4af23d3aff7d8b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 8}, {"weight":... | {"states": [437, 436], "expectation_value": -91.05988533693734, "params": [0.043300000000000005, 0.1917, 0.0429, 0.1918, 0.3917, 0.056100000000000004, 0.395, 0.0268, 0.3916, -0.0038, 0.3909, -0.0012000000000000001, 0.051800000000000006, 0.1676, 0.048400000000000006, 0.16740000000000002, 0.38780000000000003, 0.014700000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(5)) + 7.0 * Z(1) + 1.0 * Z(0) + 14.5 * Z(2) + 19.0 * Z(4) + 1.... | 7 | 10 | 4 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0433) q[0];
rz(0.1917) q[0];
rx(0.3917) q[1];
rz(0.0561) q[1];
rx(0.3916) q[2];
rz(-0.0038) q[2];
rx(0.0518) q[3];
rz(0.1676) q[3];
rx(0.3878) q[4];
rz(0.0147) q[4];
rx(0.3926) q[5];
rz(0.0043) q[5];
rx(0.1005) q[6];
rz(0.16) q[6];
rx(0.3975) 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", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-1414922549263232579 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [458, 456], "expectation_value": -3.883216825257002, "params": null, "bitstrings": ["000110101", "000110111"], "total_optimization_steps": 81, "probabilities": [0.21092777176008964, 0.5686016057430411], "optimization_time": 179.53345489501953} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[2], q[8];
ry(1.0293) q[5];
cry(1.4052) q[5], q[1];
cry(-0.9035) q[1], q[6];
cry(-0.7688) q[5], q[8];
cry(-1.3976) q[4], q[3];
ry(1.5204) q[0];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) 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[5] = measure q[5];\n... |
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