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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 176.29218459129333} | 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(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(6.5925) q[3];
ry(-9.0161) q[1];
ry(15.9361) q[2];
ry(0.9644) q[5];
cry(-22.0311) q[5], q[1];
cry(62.7075) q[5], q[3];
cry(-3.4209) q[5], q[4];
cry(1.4208) q[5], q[2];
ry(5.0533... | 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(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
1326901385771089487 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6, 7], [0, 4], [0, 3], [1, 6], [2, 4], [8, 5]]} | {"states": [456, 332], "expectation_value": -2.532314242425589, "params": null, "bitstrings": ["000110111", "010110011"], "total_optimization_steps": 77, "probabilities": [0.04673140485987282, 0.7183328711687956], "optimization_time": 141.82321619987488} | 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["111000001", "010110011", "010111000", "000110101"]} | 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[0], q[4];
ry(0.9138) q[0];
cry(-1.367) q[0], q[3];
cry(-0.7843) q[2], q[4];
cry(1.1647) q[0], q[2];
cry(0.3165) q[2], q[0];
ry(-0.355) q[4];
cry(-1.0342) q[6], q[1];
ry(0.81... | 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[0], 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... |
-7216443839465865534 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 3], [1, 4]]} | {"states": [26, 19], "expectation_value": -1.1051451319498486, "params": null, "bitstrings": ["00101", "01100"], "total_optimization_steps": 24, "probabilities": [0.040835169898916744, 0.9011666898084865], "optimization_time": 17.69780468940735} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666665, -1.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100"]} | 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(1.2292) q[3];
cry(-1.0207) q[4], q[1];
ry(0.7148) q[4];
cry(-0.4724) q[3], q[1];
cry(0.4897) q[3], q[4];
ry(-0.3667) q[1];
cry(0.722) q[4], q[0];
cry(-0.6678) q[4], q[2];
ry(0.4302) q[0];
cry(0.2062) q[0], q[4];
cry(-... | 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(1.2292) 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] ... |
-5464571633819214252 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1]]} | {"states": [9, 10], "expectation_value": -0.01238545610378355, "params": [[-0.0629], [0.0665]], "bitstrings": ["0110", "0101"], "total_optimization_steps": 10, "probabilities": [0.06405716691888654, 0.06405716691888654], "optimization_time": 0.32224225997924805} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(3) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1000", "0110", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.021) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.021) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.021) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.0629) q[1];
cx q[0], q[1];
rz(-0.021) q[2];
rz(-0.021) q[0];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(x... | null | {"circuits": [], "gradients": []} |
749ff45ff4884062c5d58bddfd5e07a0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [73, 329], "expectation_value": -4.495940322901441, "params": [1.6017000000000001, 0.002, 0.0017000000000000001, 0.0017000000000000001, 1.6018000000000001, 0.0048000000000000004, -0.015700000000000002, 0.0032, -0.012400000000000001, 0.0002, 1.6061, 0.0009000000000000001, 1.4862, 0.0083, 0.4671, 0.0008, 1.608... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110010", "000110111", "010110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6017) q[0];
rz(0.002) q[0];
rx(0.0017) q[1];
rz(0.0017) q[1];
rx(1.6018) q[2];
rz(0.0048) q[2];
rx(-0.0157) q[3];
rz(0.0032) q[3];
rx(-0.0124) q[4];
rz(0.0002) q[4];
rx(1.6061) q[5];
rz(0.0009) q[5];
rx(1.4862) q[6];
rz(0.0083) q[6];
rx(0.4671) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3ad034d15769a67626e0c170fe64b71c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [488, 508], "expectation_value": -15.49797916009608, "params": null, "bitstrings": ["000010111", "000000011"], "total_optimization_steps": 100, "probabilities": [0.08572191313969994, 0.4540225597224372], "optimization_time": 236.53870940208435} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "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];
cry(1.5708) q[1], q[3];
cry(1.5668) q[3], q[5];
cry(0.1863) q[5], q[1];
ry(-0.2908) q[1];
cry(0.2677) q[3], q[1];
cry(1.0593) q[2], q[1];
cry(1.5581) q[1], q[0];
cry(1.3479) q[0], q[2];
cr... | null | {"node": 7} | {"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[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
8e57fa8e3a9621a4b48da226f7c0c943 | 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": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [510, 1], "expectation_value": -0.654486048740873, "params": [[0.0695], [-0.0708]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027573410522172886, 0.0029144874964377437], "optimization_time": 2.644327163696289} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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];
cx q[1], q[0];
rz(-0.0695) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.139) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0695) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0348) q[6];
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] 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];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
0c9f463c983a8bcd4d04e9bbad19998b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 370], "expectation_value": -46.76880544252285, "params": [-0.0029000000000000002, 0.0014, 2.1101, 0.0089, 0.2485, 0.0054, 2.1129000000000002, 0.0064, 2.0951, 0.0077, 2.1011, 0.0011, 1.5388000000000002, 0.0076, -0.0017000000000000001, 0.0036000000000000003, 2.0929, 0.0015, 1.4177, 0.0023, 0.004500000000... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(9)) + -6.0 * Z(0) + 8.0 * Z(1) + 7.5 * Z(3) + -3.0 * Z(2) + 7.0 * Z(5) + 16.0 * Z(4) + 3.5 * Z(6) + -7.0 * Z(7) + 2.5 * Z(9) + 5... | 18 | 10 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0029) q[0];
rz(0.0014) q[0];
rx(2.1101) q[1];
rz(0.0089) q[1];
rx(0.2485) q[2];
rz(0.0054) q[2];
rx(2.1129) q[3];
rz(0.0064) q[3];
rx(2.0951) q[4];
rz(0.0077) q[4];
rx(2.1011) q[5];
rz(0.0011) q[5];
rx(1.5388) q[6];
rz(0.0076) q[6];
rx(-0.0017) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
6343341889656689631 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [3, 5, 7], [2, 3, 6], [8, 1], [2, 5, 6], [4, 6, 7], [2, 4, 7], [0, 4], [1, 4, 6], [8, 2, 3], [1, 5, 7], [0, 8], [0, 7]]} | {"states": [123, 95], "expectation_value": -1.9500189813776323, "params": [[-0.4284], [0.4061]], "bitstrings": ["110000100", "110100000"], "total_optimization_steps": 50, "probabilities": [0.013384181663249176, 0.016824601123795864], "optimization_time": 2.268937587738037} | 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.4284) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2856) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.1428) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0.1428) q[5];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [14, 7], "expectation_value": -6.995094359091868, "params": [-0.0176, 0.6878000000000001, -0.0118, 0.1335, -0.0342, 0.2696, 0.1058, -0.0316, -0.6939000000000001, -0.0135, 0.8022, 0.0409, 0.5737, 0.014700000000000001, 0.1806, 0.0068000000000000005, 0.5976, 0.0328, 0.22260000000000002, -0.0166, 0.0874, 0.3185,... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 6 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0176) q[0];
rz(0.6878) q[0];
rx(-0.0342) q[1];
rz(0.2696) q[1];
rx(-0.6939) q[2];
rz(-0.0135) q[2];
rx(0.5737) q[3];
rz(0.0147) q[3];
rx(0.5976) q[4];
rz(0.0328) q[4];
rx(0.0874) q[5];
rz(0.3185) q[5];
crx(-0.5847) q[5], q[4];
crx(-0.2406) q[5], q[3];
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... | {"k": 3} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [8, 1], "expectation_value": -6.020327628962052, "params": [[-0.041100000000000005, -0.048400000000000006], [0.0495, 0.058600000000000006]], "bitstrings": ["10111", "11110"], "total_optimization_steps": 10, "probabilities": [0.04812184857538288, 0.05108342920814695], "optimization_time": 2.033289670944214} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "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(-0.185) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.185) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.185) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.185) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.185) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 56], "expectation_value": -4.999937482230923, "params": null, "bitstrings": ["001101", "000111"], "total_optimization_steps": 26, "probabilities": [1.6356491498964233e-05, 0.9999687417494828], "optimization_time": 23.06147027015686} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[1];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.1186) q[2], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [21, 42], "expectation_value": -0.004677336465341223, "params": [[-0.0524], [0.0601]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.01592270750362414, 0.015922707503624147], "optimization_time": 4.126305341720581} | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 5 | 6 | 1 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"]} | 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(-0.0262) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0003) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0003) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.0262) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-4555375454082074671 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 7], [2, 5], [5, 7], [1, 3], [0, 1], [3, 7], [6, 7], [0, 2]]} | {"states": [97, 158], "expectation_value": -0.09395048417879963, "params": [[-0.0724], [0.07350000000000001]], "bitstrings": ["10011110", "01100001"], "total_optimization_steps": 10, "probabilities": [0.0046821124123038035, 0.0046821124123038035], "optimization_time": 1.6620676517486572} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10011110", "01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(-0.0724) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(-0.0724) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.0724) q[7];
cx q[0], q[7];
cx q[0], q[2];
rz(-0.0724) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(x0) q[7];
cx q[0], q[7];
cx q[0]... | null | {"circuits": [], "gradients": []} |
7086258341249526863 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 6], [2, 3], [0, 1], [1, 4], [4, 5], [1, 6], [1, 3], [0, 6], [3, 6], [2, 4], [3, 5], [5, 6], [2, 6], [1, 2]]} | {"states": [13, 114], "expectation_value": -0.04537221213418487, "params": [[-0.0364], [0.045000000000000005]], "bitstrings": ["1110010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.0081217174314845, 0.0081217174314845], "optimization_time": 1.3079588413238525} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001100", "1001101", "1011100", "0001101", "0100011", "0110011", "0110010", "1110010"]} | 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[6], q[4];
rz(-0.0364) q[4];
cx q[6], q[4];
cx q[6], q[2];
rz(-0.0364) q[2];
cx q[6], q[2];
cx q[4], q[2];
rz(-0.0364) q[2];
cx q[4], q[2];
cx q[6], q[3];
rz(-0.0364) q[3];
cx q[6], q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[6], q[3];
... | null | {"circuits": [], "gradients": []} |
0eaee6b22448c63c6e544649806319e4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [903, 999], "expectation_value": -12.813154965410192, "params": null, "bitstrings": ["0001111000", "0000011000"], "total_optimization_steps": 100, "probabilities": [0.13324163750921886, 0.3997749145658162], "optimization_time": 149.22003316879272} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(7)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5708) q[2], q[9];
ry(1.115) q[2];
ry(0.556) q[9];
ry(0.5144) q[8];
cry(0.402) q[8], q[7];
ry(-1.5681) q[6];
ry(-1.5708) q[5];
cry(0.... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[7], 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] = measu... |
fbc4c53f550402aa7d6311a5b02e2bb5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 14, "sourc... | {"states": [497, 241], "expectation_value": -64.48749525872543, "params": [0.6447, 0.432, 1.1819, -0.0247, 1.1628, -0.0004, 1.21, 0.0038, 1.2977, 0.00030000000000000003, 0.2858, 0.5922000000000001, 0.2209, 0.5889, 0.12660000000000002, 0.0857, 1.2966, -0.0038, 0.6427, 0.4797, 0.9927, -0.0268, 1.1666, 0.004, 1.2178, -0.0... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 14.5 * Z(0) + 12.5 * Z(2) + 12.0 * Z(4) + 11.5 * Z(3) + -4.5 * Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["100001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6447) q[0];
rz(0.432) q[0];
rx(1.1819) q[1];
rz(-0.0247) q[1];
rx(1.1628) q[2];
rz(-0.0004) q[2];
rx(1.21) q[3];
rz(0.0038) q[3];
rx(1.2977) q[4];
rz(0.0003) q[4];
rx(0.2858) q[5];
rz(0.5922) q[5];
rx(0.2209) q[6];
rz(0.5889) q[6];
rx(0.1266) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | 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": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [4, 5], "expectation_value": -9.249999999982546, "params": null, "bitstrings": ["1111011", "1111010"], "total_optimization_steps": 23, "probabilities": [4.6560002562450655e-12, 0.9999999999936049], "optimization_time": 21.22465753555298} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "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];
ry(1.5708) q[4];
cry(-1.5708) q[4], q[2];
ry(-1.5486) q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.5708) q[6];
ry(-1.5681) q[3];
cry(-0.0222) q[4], q[5];
cry(-0.0027) q[6], q[0];
cry(-0.0027) 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];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
ab957251534d09507f870c3a6ef42154 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [40, 23], "expectation_value": -0.1088480486383935, "params": [[0.0736], [-0.0688]], "bitstrings": ["010111", "101000"], "total_optimization_steps": 10, "probabilities": [0.017214626333929926, 0.017840806092095374], "optimization_time": 0.9678606986999512} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0736) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0736) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0736) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0736) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0736... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
-8106156761879869865 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3], [0, 2, 3, 4, 5], [1, 2, 5, 6], [1, 2, 4, 5], [2, 4, 5, 6], [3, 6], [0, 1, 2, 4, 6]]} | {"states": [110, 103], "expectation_value": -0.9216301350809397, "params": [[0.3659], [-0.3507]], "bitstrings": ["0010001", "0011000"], "total_optimization_steps": 40, "probabilities": [0.020217684238813843, 0.020510319096855287], "optimization_time": 1.6939258575439453} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.3 * (Z(2) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333334, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0976) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2195) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1342) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.061) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
ca4ab28592277aaac9937661a96bcfe5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": ... | {"states": [31, 63], "expectation_value": -1.7920336622195994, "params": [[-0.0656], [0.069]], "bitstrings": ["1111100000", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.0016723458230232002, 0.001825236658870707], "optimization_time": 4.890569448471069} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.2624) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.328) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.328) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0656) q[2];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 4} | {"circuits": [], "gradients": []} |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"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": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [25596, 58364], "expectation_value": -20.504941559782143, "params": [[0.09580000000000001, -0.020900000000000002], [-0.1622, -0.14500000000000002]], "bitstrings": ["1001110000000011", "0001110000000011"], "total_optimization_steps": 20, "probabilities": [0.00026546860285823316, 0.00027142731750934176], "opti... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 2 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1677) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1677) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0838) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3749419434840595498 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [3, 5], [1, 4, 5], [1, 2, 5], [0, 1, 5], [2, 3], [0, 3, 4]]} | {"states": [59, 43], "expectation_value": -1.2904573962830235, "params": [1.198, 0.0979, 1.1903000000000001, 0.0097, 1.0533000000000001, -0.2029, 1.0326, 0.007500000000000001, 1.1985000000000001, 0.1053, 1.192, 0.0063, 0.5674, 0.4232, 0.5634, 0.01, 1.1987, 0.0981, 1.195, 0.006200000000000001, 1.1957, 0.0046, 1.1946, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(... | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.198) q[0];
rz(0.0979) q[0];
rx(1.0533) q[1];
rz(-0.2029) q[1];
rx(1.1985) q[2];
rz(0.1053) q[2];
rx(0.5674) q[3];
rz(0.4232) q[3];
rx(1.1987) q[4];
rz(0.0981) q[4];
rx(1.1957) q[5];
rz(0.0046) q[5];
crz(-0.2833) q[5], q[4];
crz(0.4126) q[5], q[3];
crz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a90951da377cecde75e582ac315f893c | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target":... | {"states": [543, 535], "expectation_value": -4.57347774032604, "params": [0.901, 0.9086000000000001, -0.0044, -0.0016, -0.0056, -0.005, -0.0046, -0.0082, 0.23650000000000002, 0.1902, 0.9044000000000001, 0.9036000000000001, 0.6787000000000001, 0.5497000000000001, 0.9001, 0.9019, 0.9037000000000001, 0.905, 0.9031, 0.8956... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 *... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0111100001", "0111101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.901) q[0];
ry(-0.0044) q[1];
ry(-0.0056) q[2];
ry(-0.0046) q[3];
ry(0.2365) q[4];
ry(0.9044) q[5];
ry(0.6787) q[6];
ry(0.9001) q[7];
ry(0.9037) q[8];
ry(0.9031) q[9];
crx(0.8897) q[9], q[0];
crx(0.8894) q[8], q[9];
crx(0.881) q[7], q[8];
crx(0.8795) 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": []} |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -3.0181056440087226, "params": [[-0.07740000000000001, -0.0664, -0.0546], [0.0821, 0.07690000000000001, 0.0718]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 10, "probabilities": [0.07708545172637071, 0.08329799903252236], "optimization_time": 2.43882942199707... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0387) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.2322) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1935) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.2709) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.2709) 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": 4} | {"circuits": [], "gradients": []} |
-7261853182086859503 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 6, 7], [5, 6], [1, 3]]} | {"states": [154, 178], "expectation_value": -0.016497605246842528, "params": [[0.0629], [-0.061700000000000005]], "bitstrings": ["01100101", "01001101"], "total_optimization_steps": 10, "probabilities": [0.004041513488524549, 0.004041513488524551], "optimization_time": 3.9941933155059814} | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997, -1.1999999999999997],... | 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(0.0042) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0042) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0042) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0042) q[4];
cx q[2], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 7], "expectation_value": -0.769440696252278, "params": [[[0.6796, -0.10200000000000001], [0.6558, -0.1313], [0.6228, -0.13490000000000002], [0.8829, 0.0029000000000000002], [0.8916000000000001, 0.0027], [0.892, 0.0027]], [[0.6847000000000001, 0.0047], [0.6639, 0.006], [0.6236, 0.0004], [0.8838, 0.0012000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 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;
rx(0.6796) q[0];
rz(-0.102) q[0];
rx(0.6558) q[1];
rz(-0.1313) q[1];
rx(0.6228) q[2];
rz(-0.1349) q[2];
rx(0.8829) q[3];
rz(0.0029) q[3];
rx(0.8916) q[4];
rz(0.0027) q[4];
rx(0.892) q[5];
rz(0.0027) q[5];
rx(0.6847) q[0];
rz(0.0047) q[0];
rx(0.6639) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | matching | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [492, 236], "expectation_value": -67.4113612346246, "params": [0.3417, 0.1506, 0.6984, 0.0027, 0.6980000000000001, 0.0054, 0.6981, 0.0246, 0.28650000000000003, 0.22080000000000002, 0.6946, 0.0035, 0.7008, -0.0135, 0.3466, -0.183, 0.2921, 0.1943, 0.34390000000000004, 0.1501, 0.6990000000000001, 0.000600000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3417) q[0];
rz(0.1506) q[0];
rx(0.6984) q[1];
rz(0.0027) q[1];
rx(0.698) q[2];
rz(0.0054) q[2];
rx(0.6981) q[3];
rz(0.0246) q[3];
rx(0.2865) q[4];
rz(0.2208) q[4];
rx(0.6946) q[5];
rz(0.0035) q[5];
rx(0.7008) q[6];
rz(-0.0135) q[6];
rx(0.3466) 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] 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 floa... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6343341889656689631 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [3, 5, 7], [2, 3, 6], [8, 1], [2, 5, 6], [4, 6, 7], [2, 4, 7], [0, 4], [1, 4, 6], [8, 2, 3], [1, 5, 7], [0, 8], [0, 7]]} | {"states": [127, 95], "expectation_value": -0.5899028550530023, "params": [0.7737, -0.0029000000000000002, 0.6211, 0.007500000000000001, 0.8046000000000001, 0.0014, 0.7987000000000001, 0.005200000000000001, 0.7967000000000001, 0.0017000000000000001, 0.8043, 0.0076, 0.7938000000000001, 0.0043, 0.7916000000000001, 0.0053... | 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7737) q[0];
rz(-0.0029) q[0];
rx(0.8046) q[1];
rz(0.0014) q[1];
rx(0.7967) q[2];
rz(0.0017) q[2];
rx(0.7938) q[3];
rz(0.0043) q[3];
rx(0.7977) q[4];
rz(0.0009) q[4];
rx(0.8041) q[5];
rz(0.0008) q[5];
rx(0.8049) q[6];
rz(0.001) q[6];
rx(0.7986) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
267f594e5cb21532a1a860c7d4e0717d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [230, 118], "expectation_value": -11.859407856294826, "params": [[-0.0317], [0.081]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007264187256778381, 0.007727994563966577], "optimization_time": 1.8604063987731934} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2536) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2536) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2536) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2536) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
f1b068fc40fef7d6cc3e7d18798d8c8a | 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": [490, 362], "expectation_value": -57.64922700692653, "params": [1.2913000000000001, -0.32230000000000003, 0.8251000000000001, -0.3371, 1.2951000000000001, -0.012700000000000001, 1.3033000000000001, 0.22590000000000002, 0.7176, 0.4189, 1.2921, 0.065, -0.0017000000000000001, 0.8949, 1.3035, 0.25170000000000003... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(7)) + 8.5 * Z(0) + 8.5 * Z(1) + 14.0 * Z(2) + 12.5 * Z(3) + 9.0 * Z(5) + 7.5 * Z(4) + 10.0 * Z(7) + -5.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2913) q[0];
rz(-0.3223) q[0];
rx(0.8251) q[1];
rz(-0.3371) q[1];
rx(1.2951) q[2];
rz(-0.0127) q[2];
rx(1.3033) q[3];
rz(0.2259) q[3];
rx(0.7176) q[4];
rz(0.4189) q[4];
rx(1.2921) q[5];
rz(0.065) q[5];
rx(-0.0017) q[6];
rz(0.8949) q[6];
rx(1.3035) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.7303441960722671, "params": [[0.062, 0.0623, 0.0703], [-0.0634, -0.0567, -0.0565]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007719729072465029, 0.007905351284194114], "optimization_time": 5.08942985534668} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"]} | 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(-0.031) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.031) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.062) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(-0.031) q[5];
cx q[2], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2541943433851544232 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [1, 4], [3, 5]]} | {"states": [43, 57], "expectation_value": -0.4323654163982463, "params": [[-0.3554], [0.3627]], "bitstrings": ["010100", "000110"], "total_optimization_steps": 40, "probabilities": [0.03378190335135023, 0.03378190335135023], "optimization_time": 1.7046840190887451} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["000110", "010100"]} | 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(-0.1185) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1185) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1185) q[3];
cx q[0], q[3];
cx q[4], q[1];
rz(-0.3554) q[1];
cx q[4], q[1];
cx q[3], 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -7.102309584306718, "params": [0.0038, 0.46580000000000005, -0.0026000000000000003, 0.5890000000000001, 0.0066, -0.028800000000000003, -0.0025, 0.6001000000000001, 0.48250000000000004, -0.0675, 0.0027, 0.541, 0.0022, 0.5978, 0.0024000000000000002, 0.6056, 0.8104, -0.0036000000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 4 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111111110", "110101110", "110111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0038) q[0];
rz(0.4658) q[0];
rx(-0.0026) q[1];
rz(0.589) q[1];
rx(0.0066) q[2];
rz(-0.0288) q[2];
rx(-0.0025) q[3];
rz(0.6001) q[3];
rx(0.4825) q[4];
rz(-0.0675) q[4];
rx(0.0027) q[5];
rz(0.541) q[5];
rx(0.0022) q[6];
rz(0.5978) q[6];
rx(0.0024) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
ca80e7bc065a00b914c2c9d06f44ffa1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [16, 511], "expectation_value": -2.4998667133357304, "params": [[-0.0024000000000000002, -0.0025, 1.0656, 1.5687, -0.0029000000000000002, -0.0026000000000000003, 0.0025, 1.5735000000000001, 1.568, 0.6358], [-0.0024000000000000002, 0.5099, 0.0025, -0.0023, -2.0717000000000003, -0.0026000000000000003, -0.00240... | -0.5 * (Z(0) @ Z(1)) + -1.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7)... | 9 | 10 | 4 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"]} | 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];
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[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0024) q[0];
rx(-0.0025) q[1];
rx(1.06... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [427, 238], "expectation_value": -0.4176798328522418, "params": [[0.0516, 0.020200000000000003], [-0.054200000000000005, -0.0269]], "bitstrings": ["001010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.002347309912804364, 0.0023473099128043665], "optimization_time": 7.164626836776733} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[2];
rz(0.0516) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(0.0516) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0516) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0516) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
3432273595255020415 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 3], [2, 4], [0, 5], [0, 6], [6, 7]]} | {"states": [161, 201], "expectation_value": -0.050815957394548056, "params": [[0.06330000000000001], [-0.0679]], "bitstrings": ["01011110", "00110110"], "total_optimization_steps": 10, "probabilities": [0.00431589937714359, 0.00431589937714359], "optimization_time": 0.5193383693695068} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00110110", "10100001", "11001001", "01011110"]} | 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[1];
rz(0.0633) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(0.0633) q[0];
cx q[3], q[0];
cx q[2], q[4];
rz(0.0633) q[4];
cx q[2], q[4];
cx q[0], q[5];
rz(0.0633) q[5];
cx q[0], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0]... | null | {"circuits": [], "gradients": []} |
142bfd63d620ab803e67c35943475f60 | 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": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [111, 109], "expectation_value": -3.5584706575989182, "params": [0.1515, 0.005200000000000001, 0.14020000000000002, 0.0036000000000000003, 1.6022, 0.0057, 1.5898, 0.009600000000000001, 0.0032, 0.009000000000000001, 1.6137000000000001, 0.0024000000000000002, 1.5995000000000001, 0.0085, 1.5624, 0.004, 1.607, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(5) + -1.0 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100011010", "110110000", "110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1515) q[0];
rz(0.0052) q[0];
rx(0.1402) q[1];
rz(0.0036) q[1];
rx(1.6022) q[2];
rz(0.0057) q[2];
rx(1.5898) q[3];
rz(0.0096) q[3];
rx(0.0032) q[4];
rz(0.009) q[4];
rx(1.6137) q[5];
rz(0.0024) q[5];
rx(1.5995) q[6];
rz(0.0085) q[6];
rx(1.5624) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [0, 1], "expectation_value": -2.805951799060461, "params": [[[0.0059, 0.1313], [0.001, 0.32070000000000004], [0.31020000000000003, 0.0034000000000000002], [0.3975, 0.0016]], [[0.0064, 0.0659], [0.0055000000000000005, 0.3176], [0.3141, 0.0033], [0.3985, 0.0017000000000000001]], [[0.00030000000000000003, 0.123... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0059) q[0];
rz(0.1313) q[0];
rx(0.001) q[1];
rz(0.3207) q[1];
rx(0.3102) q[2];
rz(0.0034) q[2];
rx(0.3975) q[3];
rz(0.0016) q[3];
rx(0.0064) q[0];
rz(0.0659) q[0];
rx(0.0055) q[1];
rz(0.3176) q[1];
rx(0.3141) q[2];
rz(0.0033) q[2];
rx(0.3985) q[3];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 88.60328578948975} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(5.3058) q[2];
ry(-0.037) q[3];
ry(-1.2832) q[0];
ry(-0.4488) q[1];
ry(-1.4683) q[4];
cry(-1.122) q[6], q[1];
cry(-1.5338) q[5], q[3];
ry(1.2547) q[6];
cry(-0.5436) q[6], q[2];
ry(0.6999) q[5];
cry(-0.4... | null | {"k": 5} | {"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(5.3058) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
2595393ec6a8cf85d387fa4d443f68fe | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [9, 41], "expectation_value": -0.9020854997791583, "params": [0.5863, 0.47290000000000004, 0.798, 0.3113, 0.5750000000000001, 0.48210000000000003, 0.8091, 0.20980000000000001, 0.0021000000000000003, -0.595, 0.5857, 0.4682, 0.8001, 0.3156, 0.5749000000000001, 0.0083, 0.7951, 0.0068000000000000005, 0.5692, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010110", "0101110", "1010101", "1001110", "1001101", "0110101", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5863) q[0];
rz(0.4729) q[0];
rx(0.798) q[1];
rz(0.3113) q[1];
rx(0.575) q[2];
rz(0.4821) q[2];
rx(0.8091) q[3];
rz(0.2098) q[3];
rx(0.0021) q[4];
rz(-0.595) q[4];
rx(0.5857) q[5];
rz(0.4682) q[5];
rx(0.8001) q[6];
rz(0.3156) q[6];
crz(0.0301) q[6], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8322962800216742581 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 3], [1, 3, 5], [0, 2, 5, 6], [0, 1, 2, 4], [1, 2, 3, 6]]} | {"states": [31, 103], "expectation_value": -0.8357372276271804, "params": [[-0.4379], [0.4222]], "bitstrings": ["1100000", "0011000"], "total_optimization_steps": 50, "probabilities": [0.02330125994563626, 0.023871793863169125], "optimization_time": 1.7960174083709717} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999996, -1.7499999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0011000", "0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.146) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.219) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.219) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.146) q[6];
cx q[1], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -2.6742306382881833, "params": [[-0.0403, -0.0565, -0.0684, -0.0785], [0.023200000000000002, 0.056, 0.06810000000000001, 0.07490000000000001]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.03231423465308938, 0.03316643155874484], "opt... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.0605) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1209) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0806) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.1612) 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": []} |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [237, 173], "expectation_value": -0.5180326490030558, "params": [0.5034000000000001, 0.0965, 0.29810000000000003, 0.11860000000000001, 0.49470000000000003, 0.035300000000000005, 0.2619, 0.1208, 0.5031, 0.0077, 0.5077, 0.0521, 0.27640000000000003, 0.1275, 0.4963, -0.0151, 0.4969, 0.1013, 0.2977, 0.11720000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 8 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5034) q[0];
rz(0.0965) q[0];
rx(0.2981) q[1];
rz(0.1186) q[1];
rx(0.4947) q[2];
rz(0.0353) q[2];
rx(0.2619) q[3];
rz(0.1208) q[3];
rx(0.5031) q[4];
rz(0.0077) q[4];
rx(0.5077) q[5];
rz(0.0521) q[5];
rx(0.2764) q[6];
rz(0.1275) q[6];
rx(0.4963) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 42], "expectation_value": -2.6952661961253117, "params": [[[-0.11670000000000001, 0.0079], [-0.0009000000000000001, -0.008], [0.6895, -0.2001], [0.11710000000000001, -0.3383], [0.0799, 0.7079000000000001], [0.3028, 0.2873]], [[0.46900000000000003, -0.0017000000000000001], [-0.0073, 0.002], [0.6894, 0.632... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.1167) q[0];
ry(-0.0009) q[1];
ry(0.6895) q[2];
ry(0.1171) q[3];
ry(0.0799) q[4];
ry(0.3028) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0079) q[0];
ry(-0.008) q[1];
ry(-0.2001) q[2];
ry(-0.3383) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1331023165324523556 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 3, 5, 7], [3, 6, 7], [0, 2, 4, 5, 6, 7], [2, 3, 4, 5, 8], [0, 8], [0, 1, 3], [1, 2, 4, 5, 6, 7]]} | {"states": [380, 243], "expectation_value": -0.9304591935329037, "params": [[0.3642], [-0.3648]], "bitstrings": ["010000011", "100001100"], "total_optimization_steps": 40, "probabilities": [0.006583567750984546, 0.006875802348238067], "optimization_time": 7.715484142303467} | 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.06666666666666667 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(8)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.2333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(3)) + 0.15 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4, "smallest_bitstrings": ["100001100"]} | 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[8];
rz(0.3642) q[8];
cx q[6], q[8];
cx q[6], q[3];
rz(0.1214) q[3];
cx q[6], q[3];
cx q[8], q[3];
rz(0.0971) q[3];
cx q[8], q[3];
cx q[6], q[5];
rz(0.0486) q[5];
cx q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
1f4bbfe7446d68943a04b00ebacd5a62 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]} | {"states": [10, 2], "expectation_value": -2.62810293600027, "params": [0.0015, 0.4424, 0.0021000000000000003, 0.46480000000000005, 0.5045000000000001, -0.0367, 0.0046, -0.42260000000000003, 0.5606, 0.009000000000000001, 0.0007, 0.381, 0.0054, 0.3491, 0.003, 0.45880000000000004, 0.5034000000000001, -0.0349, -0.003100000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(2... | 18 | 6 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["111101", "110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0015) q[0];
rz(0.4424) q[0];
rx(0.0021) q[1];
rz(0.4648) q[1];
rx(0.5045) q[2];
rz(-0.0367) q[2];
rx(0.0046) q[3];
rz(-0.4226) q[3];
rx(0.5606) q[4];
rz(0.009) q[4];
rx(0.0007) q[5];
rz(0.381) q[5];
crz(-0.3666) q[5], q[0];
crz(0.0053) q[4], q[5];
crz(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[... | null | {"circuits": [], "gradients": []} |
21fb824db9d4571acc6db752df147323 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [22954, 21930], "expectation_value": -1.7129832207064233, "params": null, "bitstrings": ["1010011001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12219569842628955, 0.272453592198464], "optimization_time": 959.9186027050018} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + 0.0002314814814814815 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + 0.0002314814814814815 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022993827160456], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271603776, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5941) q[8], q[9];
cry(-0.5945) q[10], q[11];
cry(-0.5944) q[12], q[13];
cry(-0.5941) q[7], q[6];
cry(-0.5945) q[3], q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... |
ed01866ce53def5a36a69737a2fd120b | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [115, 123], "expectation_value": -4.4185923870685855, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 59, "probabilities": [0.16476189183352727, 0.6119730066251393], "optimization_time": 66.80360698699951} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | 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(-1.5681) q[5];
cry(-1.5681) q[7], q[0];
ry(1.0378) q[7];
ry(-0.5147) q[0];
cry(1.5071) q[7], q[6];
cry(0.289) q[6], q[7];
cry(1.3559) q[7], q[1];
cry(0.9679) q[6], q[2];
cry(0.9384) q[2], q[3];... | 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(-1.5681) 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... |
-4839871883442326925 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 5, 6, 7, 8, 9], [2, 3, 4, 5, 6, 7, 9], [1, 7], [0, 9, 2, 8], [1, 4], [0, 9, 5], [0, 1, 3, 5, 8], [2, 4, 5, 6, 7, 8, 9], [0, 8, 7], [0, 9, 3]]} | {"states": [758, 119], "expectation_value": -2.7547042045905967, "params": [[[1.5729, 1.5686], [1.5747, 1.5731000000000002], [-1.568, 1.5687], [0.0027, 1.5687], [0.0019, -0.0027], [0.0023, -0.0026000000000000003], [1.7555, 0.0013000000000000002], [0.0027, -0.0029000000000000002], [-0.9406, -2.1949], [1.5685, 1.5686]]],... | 0.047619047619047616 * (Z(2) @ Z(3)) + 0.09761904761904762 * (Z(5) @ Z(3)) + 0.07142857142857142 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(6) @ Z(3)) + 0.07142857142857142 * (Z(6) @ Z(2)) + 0.07142857142857142 * (Z(6) @ Z(5)) + 0.047619047619047616 * (Z(7) @ Z(3)) + 0.07142857142857142 * (Z(7) @ Z(2)) + 0.07142857142... | 15 | 10 | 1 | {"smallest_eigenvalues": [-2.938095238095238], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8904761904761904, "smallest_bitstrings": ["1110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5729) q[0];
ry(1.5747) q[1];
ry(-1.568) q[2];
ry(0.0027) q[3];
ry(0.0019) q[4];
ry(0.0023) q[5];
ry(1.7555) q[6];
ry(0.0027) q[7];
ry(-0.9406) q[8];
ry(1.5685) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
2037c68aca19f83c01748f0e59e08f2f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5},... | {"states": [1916, 2044], "expectation_value": -9.261333480142891, "params": [-0.30820000000000003, 2.2051000000000003, -0.3447, 0.007, 1.0791, 0.051300000000000005, -0.5652, 0.004, 1.2730000000000001, 0.8002, -0.21300000000000002, 0.0028, 1.2928000000000002, 1.0795000000000001, -0.8906000000000001, 0.002400000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -... | 6 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.3082) q[0];
rz(2.2051) q[0];
rx(1.0791) q[1];
rz(0.0513) q[1];
rx(1.273) q[2];
rz(0.8002) q[2];
rx(1.2928) q[3];
rz(1.0795) q[3];
rx(1.3028) q[4];
rz(1.1465) q[4];
rx(-1.3114) q[5];
rz(1.3552) q[5];
rx(1.3135) q[6];
rz(1.4679) q[6];
rx(-1.27) 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[... | {"node": 8} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | vertex_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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 10.503433465957642} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186) q[0], q[3];
cry(0.0072) q[0], q[4];
c[0] = measure... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
e5b0ce535bcb92efe5cd479863c01b12 | 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": 8}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [512, 1], "expectation_value": -1.7217991249724716, "params": [[0.0789], [-0.084]], "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.002339634627686227, 0.0023793249331116014], "optimization_time": 3.846076488494873} | -0.75 * (Z(0) @ Z(8)) + -1.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(8)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -2.25 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["1000000000", "1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[8], q[0];
rz(-0.1183) q[0];
cx q[8], q[0];
cx q[8], q[1];
rz(-0.1972) q[1];
cx q[8], q[1];
cx q[8], q[3];
rz(-0.0789) q[3];
cx q[8], q[3];
cx q[1], q[3];
rz(-0.1972) 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] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-2837685049463093068 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [3, 6], [0, 4], [2, 7], [0, 2, 5], [4, 6, 7], [3, 4, 7], [0, 6, 7], [1, 3], [4, 5, 7], [1, 6]]} | {"states": [149, 151], "expectation_value": -3.241239033780466, "params": null, "bitstrings": ["01101010", "01101000"], "total_optimization_steps": 36, "probabilities": [0.45422938496240883, 0.45422938496240883], "optimization_time": 44.94503712654114} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101010", "01101000"]} | 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(1.5298) q[7];
cry(-1.4447) q[7], q[1];
ry(1.4416) q[3];
cry(-1.2274) q[0], q[4];
ry(0.9876) q[0];
cry(-1.3954) q[7], q[2];
cry(-0.6531) q[7], q[4];
ry(1.2548) q[5];
cry(0.4337) q[7], q[0];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5298) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 50], "expectation_value": -3.999937478449852, "params": null, "bitstrings": ["001110", "001101"], "total_optimization_steps": 28, "probabilities": [1.6357230666329146e-05, 0.9999687399529342], "optimization_time": 17.15412449836731} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[5];
cry(0.1218) q[0], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [3, 1], "expectation_value": -1.1471304043337762, "params": [[-0.0516, -0.0512], [0.056400000000000006, 0.0572]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012775845065060507, 0.01321959149394029], "optimization_time": 2.8734045028686523} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "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[3], q[0];
rz(0.1032) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0774) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.1032) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(0.129) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
655689708e73cb2de5fff319b9c5049e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [50, 58], "expectation_value": -2.4849233857793327, "params": [0.2756, 0.2631, 0.40040000000000003, -0.08650000000000001, 0.8063, 0.0017000000000000001, 0.8066, 0.0039000000000000003, 0.8062, 0.0019, -0.0149, 0.3924, 0.8074, 0.11220000000000001, 0.20620000000000002, -0.2949, 0.2745, 0.003, 0.398, 0.006, 0.80... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2756) q[0];
rz(0.2631) q[0];
rx(0.4004) q[1];
rz(-0.0865) q[1];
rx(0.8063) q[2];
rz(0.0017) q[2];
rx(0.8066) q[3];
rz(0.0039) q[3];
rx(0.8062) q[4];
rz(0.0019) q[4];
rx(-0.0149) q[5];
rz(0.3924) q[5];
rx(0.8074) q[6];
rz(0.1122) q[6];
rx(0.2062) 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": []} |
f619afa25c1921f996d128a1dfefef72 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [8, 2], "expectation_value": -0.10017479470019638, "params": [[-0.0821], [0.078]], "bitstrings": ["10111", "11101"], "total_optimization_steps": 10, "probabilities": [0.03333289693344743, 0.03407475169971564], "optimization_time": 2.1086654663085938} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0411) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0411) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0411) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0411) q[0];
cx q[1], q[0];
cx q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
4286d838a0864c608421aefd7c0a8694 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -2.0193548494455236, "params": [[-0.0176, -0.0388, -0.0487], [0.0006000000000000001, 0.043300000000000005, 0.050100000000000006]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007890056037549798, 0.008183757037039316], "optimization_... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0352) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.044) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0352) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0264) q[3];
cx q[1], q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9f6a09f991bf68484362b3872f6239a7 | 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": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -10.49999958399804, "params": null, "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 21, "probabilities": [0.4999999519269191, 0.499999995836056], "optimization_time": 18.798704385757446} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1110110", "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[2];
ry(-1.5706) q[1];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.5708) q[0];
ry(1.5706) q[6];
cry(0.0004) q[6], q[1];
cry(-0.0006) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
222da723e9a46931eb34c7c524cc180a | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -8.04757407831745, "params": [0.0001, -0.1636, 0.0048000000000000004, -0.2238, 0.0019, -0.2685, 0.0022, -0.2625, -0.006200000000000001, 0.029400000000000003, -0.0026000000000000003, 0.1388, 0.0038, -0.3, 0.0012000000000000001, -0.2911, 0.0013000000000000002, -0.29450000000000004,... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 5 | 10 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1001111110", "1101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0001) q[0];
rz(-0.1636) q[0];
rx(0.0019) q[1];
rz(-0.2685) q[1];
rx(-0.0062) q[2];
rz(0.0294) q[2];
rx(0.0038) q[3];
rz(-0.3) q[3];
rx(0.0013) q[4];
rz(-0.2945) q[4];
rx(0.0044) q[5];
rz(-0.2803) q[5];
rx(0.0018) q[6];
rz(-0.3041) q[6];
rx(0.0045) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [28, 44], "expectation_value": -9.352720851362648, "params": [-0.0035, -0.2916, -0.0032, -0.27890000000000004, -0.0037, -0.35700000000000004, 0.0009000000000000001, -0.3557, -0.0029000000000000002, -0.3375, -0.0037, -0.3428, -0.008700000000000001, -0.24700000000000003, -0.0037, -0.29300000000000004, 0.2924, ... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0035) q[0];
rz(-0.2916) q[0];
rx(-0.0037) q[1];
rz(-0.357) q[1];
rx(-0.0029) q[2];
rz(-0.3375) q[2];
rx(-0.0087) q[3];
rz(-0.247) q[3];
rx(0.2924) q[4];
rz(0.1165) q[4];
rx(0.2878) q[5];
rz(0.1185) q[5];
rx(0.4961) q[6];
rz(0.0099) q[6];
rx(0.4963) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
3be62d904e3c491ed9eeb750b53bffe0 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [117, 109], "expectation_value": -33.31100559704856, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12248358700896955, 0.148783055868588], "optimization_time": 193.40652561187744} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[2];
ry(6.9998) q[4];
ry(63.0262) q[5];
ry(0.0732) q[7];
cry(0.062) q[4], q[2];
cry(-1.5727) q[4], q[5];
cry(63.0165) q[4], q[7];
cry(7.3243) q[7], q[2];
cry(-62.8847) q[2], q[7];
ry(0... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-130878501764144626 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 4], [8, 9, 2], [0, 10], [8, 2, 6], [1, 6], [10, 11, 6], [11, 4, 7], [3, 4, 6], [2, 4, 7], [10, 7], [0, 9, 11], [11, 5], [1, 2]]} | {"states": [2446, 2510], "expectation_value": -4.08127349797741, "params": [1.5602, 1.5835000000000001, 0.063, 0.0579, 0.059300000000000005, 0.0679, 1.572, 1.5749, 1.5741, 1.5695000000000001, 0.8418, 0.7234, 0.6457, 0.6399, 0.0015, 0.0025, 1.5785, 1.5736, 1.5796000000000001, 1.5625, 1.5955000000000001, 1.54510000000000... | 0.16666666666666666 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(11)) + 0.16666666666666666 * (Z(0)... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["011000110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5602) q[0];
ry(0.063) q[1];
ry(0.0593) q[2];
ry(1.572) q[3];
ry(1.5741) q[4];
ry(0.8418) q[5];
ry(0.6457) q[6];
ry(0.0015) q[7];
ry(1.5785) q[8];
ry(1.5796) q[9];
ry(1.5955) q[10];
ry(0.4529) q[11];
crz(-0.3124) q[11], q[0];
crz(0.205) q[10], q[11];
crz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6055612259411765433 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 5], [0, 2, 3, 6], [0, 1, 3, 5], [1, 2], [5, 6], [0, 2, 4], [0, 1, 3, 6]]} | {"states": [93, 29], "expectation_value": -2.4601865149863604, "params": [[[1.5217, 0.0046], [-0.02, 0.0049], [3.1396, 0.0049], [3.1395, 0.005], [3.1398, 0.0019], [-0.0025, 0.0097], [3.1389, 0.0078000000000000005]]], "bitstrings": ["0100010", "1100010"], "total_optimization_steps": 360, "probabilities": [0.475434445905... | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.5217) q[0];
rz(0.0046) q[0];
rx(-0.02) q[1];
rz(0.0049) q[1];
rx(3.1396) q[2];
rz(0.0049) q[2];
rx(3.1395) q[3];
rz(0.005) q[3];
rx(3.1398) q[4];
rz(0.0019) q[4];
rx(-0.0025) q[5];
rz(0.0097) q[5];
rx(3.1389) q[6];
rz(0.0078) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [70, 69], "expectation_value": -5.996463978766435, "params": null, "bitstrings": ["0111001", "0111010"], "total_optimization_steps": 29, "probabilities": [0.06634843263544207, 0.9303661238199928], "optimization_time": 30.52732801437378} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0343) q[6], q[5];
ry(0.7003) q[6];
ry(-0.4549) q[5];
cry(0.4963) q[4], q[6];
cry(-0.3789) q[4], q[5];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5264b19f3401032e019b258a19fe08a0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [92, 93], "expectation_value": -4.187702924214436, "params": [[-0.191, -0.376, -0.4902, -0.5972000000000001], [0.6593, 0.47790000000000005, 0.326, 0.16970000000000002]], "bitstrings": ["10100011", "10100010"], "total_optimization_steps": 70, "probabilities": [0.07481864547428917, 0.0794477755761567], "optimi... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000010", "10000000", "10100010", "10100000"]} | 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[7], q[0];
rz(-0.0955) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.191) q[1];
cx q[7], q[1];
cx q[1], q[3];
rz(0.2865) q[3];
cx q[1], q[3];
cx q[7], q[5];
rz(0.0955) q[5];
cx q[7], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
64eae7c41dfa3290e7cb58a32391f057 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [4, 68], "expectation_value": -2.0568142046433047, "params": [[[0.401, 0.0021000000000000003], [0.17600000000000002, 0.1116], [0.002, 0.2882], [0.0043, 0.29410000000000003], [0.39840000000000003, 0.0021000000000000003], [0.1817, 0.113], [0.0024000000000000002, 0.30920000000000003]], [[0.402, 0.00210000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(6) @ Z(4)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0625, -3.0625, -3.0625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0625, "smallest_bitstrings": ["1011011", "0111011", "0111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.401) q[0];
rz(0.0021) q[0];
rx(0.176) q[1];
rz(0.1116) q[1];
rx(0.002) q[2];
rz(0.2882) q[2];
rx(0.0043) q[3];
rz(0.2941) q[3];
rx(0.3984) q[4];
rz(0.0021) q[4];
rx(0.1817) q[5];
rz(0.113) q[5];
rx(0.0024) q[6];
rz(0.3092) q[6];
rx(0.402) q[0];
rz(0.0021)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
607dfe672a9c089714e83d20227118f4 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [683, 939], "expectation_value": -2.6775246612860863, "params": [[[0.0097, -0.0187, 0.0082, 0.0039000000000000003], [0.6783, -0.0034000000000000002, 0.6932, 0.0089], [-0.4621, -0.0011, 0.0022, 0.0056], [0.48800000000000004, 0.009600000000000001, 0.8257, 0.0045000000000000005], [-0.083, 0.1549, 0.004200000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 12 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["01001010100", "01100100001", "01011... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0097) q[0];
rz(-0.0187) q[0];
ry(0.6783) q[1];
rz(-0.0034) q[1];
ry(-0.4621) q[2];
rz(-0.0011) q[2];
ry(0.488) q[3];
rz(0.0096) q[3];
ry(-0.083) q[4];
rz(0.1549) q[4];
ry(0.4219) q[5];
rz(0.0792) q[5];
ry(-0.0753) q[6];
rz(-0.0042) q[6];
ry(0.4042) 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": []} |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [139, 395], "expectation_value": -1.2434675553890044, "params": [0.5971000000000001, -0.004, 0.5981000000000001, 0.0717, 0.3317, 0.1491, 0.003, 0.4511, 0.3332, 0.15960000000000002, 0.6047, 0.08410000000000001, 0.3391, 0.1524, 0.5986, 0.0792, 0.5989, -0.002, 0.5975, -0.008700000000000001, 0.6029, 0.1006000000... | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.... | 16 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100100", "001110100", "100100101", "010110001", "011110000", "001101100", "001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5971) q[0];
rz(-0.004) q[0];
rx(0.5981) q[1];
rz(0.0717) q[1];
rx(0.3317) q[2];
rz(0.1491) q[2];
rx(0.003) q[3];
rz(0.4511) q[3];
rx(0.3332) q[4];
rz(0.1596) q[4];
rx(0.6047) q[5];
rz(0.0841) q[5];
rx(0.3391) q[6];
rz(0.1524) q[6];
rx(0.5986) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 60], "expectation_value": -3.1321770286570354, "params": null, "bitstrings": ["1001101", "1000011"], "total_optimization_steps": 36, "probabilities": [0.06225990274216573, 0.8457025003025933], "optimization_time": 45.31623983383179} | 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(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5158) q[0];
ry(-1.4449) q[6];
ry(1.4415) q[2];
cry(-1.3016) q[3], q[5];
ry(1.2939) q[1];
ry(0.7826) q[3];
ry(-0.6334) q[5];
cry(1.32) q[3], q[4];
cry(0.4658) q[2], q[3];
cry(-0.1259) q[2], q[6];
cry... | 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(-1.5158) 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[6];\n", ... |
ffe7b5f4782407d3e85a3f55af5889c1 | 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": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [256, 183], "expectation_value": -3.813917813972578, "params": [[0.06760000000000001, 0.0757, 0.0738], [-0.0636, -0.0743, -0.06770000000000001]], "bitstrings": ["011111111", "101001000"], "total_optimization_steps": 10, "probabilities": [0.00801566513896119, 0.008311472123564843], "optimization_time": 5.6141... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0676) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.169) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.1014) q[1];
cx q[2], q[1];
cx q[6], q[1];
rz(-0.2366) q[1];
cx q[6], 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": 8} | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | 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": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 41.805941343307495} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.57) q[5], q[4];
cry(1.5486) q[2], q[3];
ry(0.845) q[5];
cry(1.2245) q[3], q[2];
ry(0.4428) q[4];
cry(1.5157) q[4], q[6];
cry(-1.5353) q[6], q[0];
cry(0.5815) q[4], q[5];
ry(-1.1414) q[1];
cry(-0.275... | 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(1.57) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\... |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 28], "expectation_value": -3.002348121085071, "params": null, "bitstrings": ["111010", "100011"], "total_optimization_steps": 30, "probabilities": [0.05888063726826326, 0.8445431773055133], "optimization_time": 22.306249856948853} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "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];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
cry(-1.3016) q[1], q[5];
ry(1.2945) q[3];
ry(0.7777) q[1];
ry(-0.6314) q[5];
cry(1.319) q[1], q[2];
cry(0.4657) q[3], q[1];
cry(-0.1364) q[2], q[5];
cry(-0.1259) q[2], q[0];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
40a3686841126450928dceb82dd758e7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 6}, {"weight": 12, "source": 1, "target": 8}, {"weight": 9, "source... | {"states": [406, 214], "expectation_value": -34.895529429508784, "params": [[0.0304, 0.0097], [-0.14730000000000001, -0.169]], "bitstrings": ["001101001", "100101001"], "total_optimization_steps": 20, "probabilities": [0.017331681952394193, 0.021229681597556668], "optimization_time": 3.4061293601989746} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 17.0 * Z(1) + 2.0 * Z(0) + 16.0 * Z(2) + 14.5 * Z(4) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101001"]} | 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(0.304) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.304) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.304) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [33, 28], "expectation_value": -0.5288650634495153, "params": [[0.0656, 0.0618, 0.0497], [-0.0707, -0.0666, -0.047]], "bitstrings": ["011110", "100011"], "total_optimization_steps": 10, "probabilities": [0.021270103541931, 0.02423138417839123], "optimization_time": 4.188181161880493} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0656) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0656) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0656) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0656) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0656... | OPENQASM 3.0;
include "stdgates.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": []} |
8859020971153487979 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [0, 6], [3, 4], [4, 5], [4, 6], [2, 5], [3, 5], [1, 2], [2, 6], [1, 5], [1, 4], [1, 6], [0, 1]]} | {"states": [86, 92], "expectation_value": -3.1557367222065595, "params": null, "bitstrings": ["0101001", "0100011"], "total_optimization_steps": 47, "probabilities": [0.037016214658966644, 0.8277147364423261], "optimization_time": 59.7576858997345} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[4], q[6];
cry(-1.0342) q[3], q[5];
ry(1.0293) q[3];
cry(1.4052) q[3], q[2];
cry(-0.9035) q[2], q[5];
cry(-0.7688) q[3], q[6];
ry(1.2774) q[4];
cry(1.3691) q[4], q[0];
cry(-1.4652) q[0], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[4], 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... |
e2292f14d652f79a3c50664674f22a1b | 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": 10}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target"... | {"states": [0, 1023], "expectation_value": -12.402096685304997, "params": [[[-0.0031000000000000003, -0.8623000000000001], [-0.0026000000000000003, -0.0026000000000000003], [-0.0028, -0.0022], [-0.0021000000000000003, -0.0027], [-0.002, -0.0032], [-0.003, -0.0019], [-0.0029000000000000002, 0.0023], [-0.0025, -0.0016], ... | 0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -1.25 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0031) q[0];
ry(-0.0026) q[1];
ry(-0.0028) q[2];
ry(-0.0021) q[3];
ry(-0.002) q[4];
ry(-0.003) q[5];
ry(-0.0029) q[6];
ry(-0.0025) q[7];
ry(0.0032) q[8];
ry(-0.0022) q[9];
ry(-0.002) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
567ab3f84ce062f1688c69d8443a4851 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [509, 511], "expectation_value": -1.028713302598244, "params": [[0.0758], [-0.0704]], "bitstrings": ["1000000010", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001609688490298617, 0.0016692908243091593], "optimization_time": 5.517933368682861} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.1137) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0758) q[4];
cx q[0], q[4];
cx q[3], q[9];
rz(-0.1895) q[9];
cx q[3], q[9];
cx q[0], q[9];
rz(0.2274) q[9];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 9} | {"circuits": [], "gradients": []} |
299a3c9d30a0e122b63529d93c60c6ce | 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": [486, 230], "expectation_value": -68.08938093326871, "params": [0.7308, -0.3093, 1.3940000000000001, 0.0044, 1.3966, -0.0019, 1.3867, -0.0164, 0.0021000000000000003, -0.7478, 0.0032, 0.994, 1.4031, 0.0034000000000000002, 1.4053, 0.3402, 0.3935, 0.646, 0.7312000000000001, 0.0019, 1.3981000000000001, 0.0038, 1... | 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(4) @ Z(7)) + 21.0 * Z(1) + 16.5 * Z(3) + 15.5 * Z(2) + 8.0 * Z(0) + 9.0 * Z(6) + -3.0 * Z(5... | 18 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7308) q[0];
rz(-0.3093) q[0];
rx(1.394) q[1];
rz(0.0044) q[1];
rx(1.3966) q[2];
rz(-0.0019) q[2];
rx(1.3867) q[3];
rz(-0.0164) q[3];
rx(0.0021) q[4];
rz(-0.7478) q[4];
rx(0.0032) q[5];
rz(0.994) q[5];
rx(1.4031) q[6];
rz(0.0034) q[6];
rx(1.4053) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
983442ca2b6d0bd60908e6b5c7a55830 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [1983, 1935], "expectation_value": -1.372928818800491, "params": [[0.0777], [-0.07680000000000001]], "bitstrings": ["00001000000", "00001110000"], "total_optimization_steps": 10, "probabilities": [0.0008122086842538586, 0.0008811442953252176], "optimization_time": 3.08347749710083} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.2331) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3108) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0777) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0777) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 6} | {"circuits": [], "gradients": []} |
e187371d430b945e0e1d69926f02e89f | max_flow | 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": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [4607, 6655], "expectation_value": -56.964104265197065, "params": [0.0026000000000000003, 0.0022, 0.0025, 0.0032, 1.8815000000000002, 0.0022, -1.6041, 0.009000000000000001, -0.0024000000000000002, 0.0061, -0.0026000000000000003, 0.001, 3.1283000000000003, 0.006500000000000001, 2.1826000000000003, 0.003600000... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 18 | 15 | 1 | {"smallest_eigenvalues": [-59.83333333333215], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.83333333333132, "smallest_bitstrings": ["110011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0026) q[0];
rz(0.0022) q[0];
rx(0.0025) q[1];
rz(0.0032) q[1];
rx(1.8815) q[2];
rz(0.0022) q[2];
rx(-1.6041) q[3];
rz(0.009) q[3];
rx(-0.0024) q[4];
rz(0.0061) q[4];
rx(-0.0026) q[5];
rz(0.001) q[5];
rx(3.1283) q[6];
rz(0.0065) q[6];
rx(2.1826) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e406f122c9b00528f4ddd8dd03d61067 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [974, 846], "expectation_value": -1.9462922205464726, "params": [2.1979, 0.009600000000000001, 1.8677000000000001, 0.0059, 1.5558, 0.0048000000000000004, 2.2110000000000003, 0.0017000000000000001, 0.661, 0.0046, 0.0024000000000000002, 0.006900000000000001, 2.2024, 0.0015, 2.2035, 0.0029000000000000002, 2.162... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["0100110001", "0011010010", "1000110001", "0010110001", "0010110010", "0101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.1979) q[0];
rz(0.0096) q[0];
rx(1.8677) q[1];
rz(0.0059) q[1];
rx(1.5558) q[2];
rz(0.0048) q[2];
rx(2.211) q[3];
rz(0.0017) q[3];
rx(0.661) q[4];
rz(0.0046) q[4];
rx(0.0024) q[5];
rz(0.0069) q[5];
rx(2.2024) q[6];
rz(0.0015) q[6];
rx(2.2035) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
80414d2e2eb4a15dac1e8a7f58be727c | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [20, 52], "expectation_value": -3.543605981741209, "params": [[[-0.0014, 0.0046], [1.6041, 0.004], [1.6133000000000002, 0.006900000000000001], [1.4429, 0.0033], [1.6114000000000002, 0.0064], [-0.0173, 0.0016], [-0.0012000000000000001, 0.009600000000000001]]], "bitstrings": ["1101011", "1001011"], "total_opti... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101001", "1001011", "0011110", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0014) q[0];
rz(0.0046) q[0];
rx(1.6041) q[1];
rz(0.004) q[1];
rx(1.6133) q[2];
rz(0.0069) q[2];
rx(1.4429) q[3];
rz(0.0033) q[3];
rx(1.6114) q[4];
rz(0.0064) q[4];
rx(-0.0173) q[5];
rz(0.0016) q[5];
rx(-0.0012) q[6];
rz(0.0096) q[6];
c[0] = measure q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.770103241255637, "params": [0.6261, 1.3109, -0.5904, 0.5827, 0.6249, 1.1946, -0.6032000000000001, 0.7403000000000001, 0.0233, 0.8623000000000001, -0.014100000000000001, 0.6941, 0.033800000000000004, 1.0603, -0.0008, 0.6731, 0.0357, 0.9968, -0.016800000000000002, 0.7358, -0.6... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 6 | 5 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.6261) q[0];
rz(1.3109) q[0];
rx(0.6249) q[1];
rz(1.1946) q[1];
rx(0.0233) q[2];
rz(0.8623) q[2];
rx(0.0338) q[3];
rz(1.0603) q[3];
rx(0.0357) q[4];
rz(0.9968) q[4];
crx(0.112) q[4], q[3];
crx(0.0681) q[4], q[2];
crx(-1.3163) q[4], q[1];
crx(-1.1621) 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [150, 182], "expectation_value": -0.7895359803889863, "params": [0.399, 0.1789, 0.31970000000000004, 0.1434, 0.39780000000000004, -0.0006000000000000001, 0.39630000000000004, -0.00030000000000000003, 0.005200000000000001, 0.2717, 0.40130000000000005, -0.0061, 0.4017, 0.0059, 0.36150000000000004, 0.0717, 0.39... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.399) q[0];
rz(0.1789) q[0];
rx(0.3197) q[1];
rz(0.1434) q[1];
rx(0.3978) q[2];
rz(-0.0006) q[2];
rx(0.3963) q[3];
rz(-0.0003) q[3];
rx(0.0052) q[4];
rz(0.2717) q[4];
rx(0.4013) q[5];
rz(-0.0061) q[5];
rx(0.4017) q[6];
rz(0.0059) q[6];
rx(0.3615) 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": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [126, 1], "expectation_value": -4.100207232450169, "params": [[0.0697, 0.0722, 0.0766], [-0.0727, -0.0641, -0.0674]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.03162005970934859, 0.04277610671729904], "optimization_time": 4.576790809631348} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "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(-0.0348) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0697) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0697) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.1046) 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": []} |
2e9df40997cb418d8be634dabc4b4463 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [918, 407], "expectation_value": -1.6338693822757384, "params": [[[1.5867, 0.13520000000000001], [1.6106, -0.059300000000000005], [1.6007, 0.26130000000000003], [0.1746, 0.22360000000000002], [-0.3468, 0.35860000000000003], [1.5918, 1.5748], [1.5745, 1.0024], [1.5828, 1.5842], [1.5875000000000001, 0.72630000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.90625, "smallest_bitstrings": ["0001111000", "1000101001", "1001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5867) q[0];
ry(1.6106) q[1];
ry(1.6007) q[2];
ry(0.1746) q[3];
ry(-0.3468) q[4];
ry(1.5918) q[5];
ry(1.5745) q[6];
ry(1.5828) q[7];
ry(1.5875) q[8];
ry(1.5854) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -7.473066991572642, "params": [0.18910000000000002, 0.24880000000000002, 0.1414, 0.26330000000000003, 0.18530000000000002, 0.26180000000000003, 0.20270000000000002, 0.2691, 0.5507000000000001, 0.1298, 0.502, 0.18760000000000002, 0.5016, 0.0981, 0.1874, 0.25470000000000004, 0.139,... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1891) q[0];
rz(0.2488) q[0];
rx(0.1414) q[1];
rz(0.2633) q[1];
rx(0.1853) q[2];
rz(0.2618) q[2];
rx(0.2027) q[3];
rz(0.2691) q[3];
rx(0.5507) q[4];
rz(0.1298) q[4];
rx(0.502) q[5];
rz(0.1876) q[5];
rx(0.5016) q[6];
rz(0.0981) q[6];
crz(0.217) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "... | {"states": [1386, 1385], "expectation_value": -1.5114268632158445, "params": [-0.01, 0.0129, 0.3854, 0.3966, 0.0027, -0.0123, 0.4012, 0.3985, -0.038200000000000005, -0.0005, 0.3992, 0.39390000000000003, -1.0269000000000001, -1.0149000000000001, 0.3331, 0.33690000000000003, 0.39180000000000004, 0.39030000000000004, 0.00... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025510204... | 13 | 12 | 4 | {"smallest_eigenvalues": [-1.514540816326532], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5145408163265315, "smallest_bitstrings": ["101010010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.01) q[0];
ry(0.3854) q[1];
ry(0.0027) q[2];
ry(0.4012) q[3];
ry(-0.0382) q[4];
ry(0.3992) q[5];
ry(-1.0269) q[6];
ry(0.3331) q[7];
ry(0.3918) q[8];
ry(0.0032) q[9];
ry(0.3841) q[10];
ry(0.555) q[11];
crz(0.8655) q[11], q[0];
crz(0.5578) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -23.992203470725322, "params": [[-0.0341, -0.008700000000000001, 0.011600000000000001], [0.059000000000000004, 0.0671, 0.055600000000000004]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01360949477415928, 0.016064200950816374],... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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];
cx q[1], q[0];
rz(-0.2728) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2728) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2728) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.2728) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -3.9859390501356633, "params": [[-0.059500000000000004, -0.0726, -0.08560000000000001], [0.0592, 0.0699, 0.0776]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.015461860263467096, 0.020599580484680538], "optimization_time": 4.223002... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0893) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.1785) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.1488) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0298) q[1];
cx q[5], q[1];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
13874d303f9642d1d6fc7d8a884ec296 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 93], "expectation_value": -65.01315121033895, "params": [0.3395, 0.0059, 2.9048000000000003, 0.0012000000000000001, 0.36010000000000003, 0.0013000000000000002, 2.9027000000000003, 0.004, 2.9002000000000003, 0.0018000000000000002, 2.8933, 0.0049, 1.4768000000000001, 0.0094, 2.9001, 0.007500000000000001, ... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 0.5 * Z(0) + 7.5 * Z(1) + 7.0 * Z(3) + 0.5 * Z(2) + 19.0 * Z(4) + 19.5 * Z(5) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3395) q[0];
rz(0.0059) q[0];
rx(2.9048) q[1];
rz(0.0012) q[1];
rx(0.3601) q[2];
rz(0.0013) q[2];
rx(2.9027) q[3];
rz(0.004) q[3];
rx(2.9002) q[4];
rz(0.0018) q[4];
rx(2.8933) q[5];
rz(0.0049) q[5];
rx(1.4768) q[6];
rz(0.0094) q[6];
rx(2.9001) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
a09fd8263c85c42edd74a3289977a8b3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [23, 89], "expectation_value": -0.10835598354990042, "params": [[-0.0553, 0.059500000000000004], [0.0719, -0.0238]], "bitstrings": ["1101000", "0100110"], "total_optimization_steps": 10, "probabilities": [0.00865928715814432, 0.008659287158144326], "optimization_time": 2.7975587844848633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101000", "0100110", "0101100"]} | 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(-0.0553) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0553) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0553) q[5];
cx q[1], q[5];
cx q[1], q[6];
rz(-0.0553) q[6];
cx q[1], q[6];
cx q[1], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
75d554aeee06fbf8bfe9226005af8f80 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 3], "expectation_value": -16.61913523083571, "params": [[[0.0033, 0.0028], [0.0024000000000000002, 0.007], [0.0026000000000000003, 0.008400000000000001], [0.0024000000000000002, 0.0016], [1.1692, 0.007200000000000001], [0.0024000000000000002, 0.007500000000000001], [0.0023, 0.0022], [1.5986, 0.0073], [1.... | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0033) q[0];
rz(0.0028) q[0];
rx(0.0024) q[1];
rz(0.007) q[1];
rx(0.0026) q[2];
rz(0.0084) q[2];
rx(0.0024) q[3];
rz(0.0016) q[3];
rx(1.1692) q[4];
rz(0.0072) q[4];
rx(0.0024) q[5];
rz(0.0075) q[5];
rx(0.0023) q[6];
rz(0.0022) q[6];
rx(1.5986) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9c2f02be2c499f1518832ddbbd315206 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [171, 43], "expectation_value": -3.0596839099094426, "params": [0.7805000000000001, 0.7785000000000001, -0.0028, -0.0028, 0.8187000000000001, 0.8188000000000001, -0.0025, -0.0024000000000000002, 1.5324, 1.5354, 0.0031000000000000003, 0.003, 1.5409000000000002, 1.536, 1.5352000000000001, 1.5295, 0.2449, 0.006... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0... | 13 | 8 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["01010110", "01010101", "01011001", "10010110", "01110100", "01011100", "11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7805) q[0];
ry(-0.0028) q[1];
ry(0.8187) q[2];
ry(-0.0025) q[3];
ry(1.5324) q[4];
ry(0.0031) q[5];
ry(1.5409) q[6];
ry(1.5352) q[7];
crz(0.2449) q[7], q[0];
crz(0.0873) q[6], q[7];
crz(-0.9062) q[5], q[6];
crz(-0.0029) q[4], q[5];
crz(1.1368) q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 100.66423511505127} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
deb76b921768e5d79bfd20a89af94717 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [0, 8191], "expectation_value": -24.677511242649324, "params": [[[0.0023, 1.6032000000000002], [0.0018000000000000002, 0.0023], [0.0016, 0.0018000000000000002], [0.002, 0.002], [0.0019, 0.0018000000000000002], [0.0021000000000000003, 0.002], [0.002, 0.0022], [0.0031000000000000003, 0.0026000000000000003], [0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(11)) + ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0023) q[0];
ry(0.0018) q[1];
ry(0.0016) q[2];
ry(0.002) q[3];
ry(0.0019) q[4];
ry(0.0021) q[5];
ry(0.002) q[6];
ry(0.0031) q[7];
ry(0.0035) q[8];
ry(-0.0031) q[9];
ry(0.0019) q[10];
ry(-0.0028) q[11];
ry(0.0026) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 12} | {"circuits": [], "gradients": []} |
cfb7113da3f42bbb4705bcb73df50751 | 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": [222, 214], "expectation_value": -68.73794459143059, "params": [0.6216, 0.4253, 1.4045, 0.0487, 1.3951, 0.027200000000000002, -0.0018000000000000002, 0.8996000000000001, 1.3936000000000002, -0.14930000000000002, 0.7325, -0.33380000000000004, 1.3963, -0.1635, 1.3959000000000001, 0.2006, 0.0031000000000000003,... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ 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(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 7.0 * Z(0) + 10.0 * Z(1) + 13.0 * Z(2) + -4.5 * Z(3) + 21.0 * Z(4) + 8.0 * Z(5... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6216) q[0];
rz(0.4253) q[0];
rx(1.4045) q[1];
rz(0.0487) q[1];
rx(1.3951) q[2];
rz(0.0272) q[2];
rx(-0.0018) q[3];
rz(0.8996) q[3];
rx(1.3936) q[4];
rz(-0.1493) q[4];
rx(0.7325) q[5];
rz(-0.3338) q[5];
rx(1.3963) q[6];
rz(-0.1635) q[6];
rx(1.3959) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [8, 0], "expectation_value": -2.5623722715298123, "params": [-0.0021000000000000003, 0.0844, -0.0025, 0.0829, -0.0046, 0.07490000000000001, -0.0053, 0.0635, -0.007200000000000001, 0.0487, -0.0061, 0.0913, -0.0, 0.07930000000000001, -0.0007, 0.0881, 0.0002, 0.0673, 0.0022, 0.0847, -0.00030000000000000003, 0.0... | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 18 | 5 | 4 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0021) q[0];
rz(0.0844) q[0];
rx(-0.0025) q[1];
rz(0.0829) q[1];
rx(-0.0046) q[2];
rz(0.0749) q[2];
rx(-0.0053) q[3];
rz(0.0635) q[3];
rx(-0.0072) q[4];
rz(0.0487) q[4];
crz(-0.0364) q[4], q[0];
crz(-0.0471) q[3], q[4];
crz(-0.0622) q[2], q[3];
crz(-0.075... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
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