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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -0.31612427899929346, "params": [[-0.044700000000000004, -0.0374, -0.058100000000000006, -0.046700000000000005], [0.056100000000000004, 0.0341, 0.062400000000000004, 0.060200000000000004]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.078750... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.0447) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0447) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0447) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.067) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(0.0447) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
4685308727068047540 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [3, 5], [2, 5], [5, 6], [0, 4], [3, 4], [0, 6], [0, 1], [1, 5]]} | {"states": [57, 70], "expectation_value": -0.0875254800358051, "params": [[-0.0709], [0.0699]], "bitstrings": ["1000110", "0111001"], "total_optimization_steps": 10, "probabilities": [0.008917838315302766, 0.008917838315302766], "optimization_time": 0.5248944759368896} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110", "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];
cx q[4], q[2];
rz(-0.0709) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0709) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(-0.0709) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0.0709) q[5];
cx q[3], q[5];
cx q[5], q[6... | 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[3], q[5];
... | null | {"circuits": [], "gradients": []} |
b6d439c96c0f87fc03a4b5b2f2bf1805 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [80, 112], "expectation_value": -2.4925382906708324, "params": [1.6101, 0.001, 1.6027, 0.0016, 1.6098000000000001, 0.0025, 0.3961, 0.0024000000000000002, 0.0025, 0.0011, 0.9618000000000001, 0.0014, 0.36910000000000004, 0.0037, 0.0082, 0.001, 0.008400000000000001, 0.001, 0.0098, 0.0047], "bitstrings": ["01011... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010111", "1101100", "1001101", "0011011", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6101) q[0];
rz(0.001) q[0];
rx(1.6027) q[1];
rz(0.0016) q[1];
rx(1.6098) q[2];
rz(0.0025) q[2];
rx(0.3961) q[3];
rz(0.0024) q[3];
rx(0.0025) q[4];
rz(0.0011) q[4];
rx(0.9618) q[5];
rz(0.0014) q[5];
rx(0.3691) q[6];
rz(0.0037) q[6];
crz(0.0047) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
20105dd34864c02d46a9b19074582db3 | 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": 2, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 8}, {"weight": 9, "source... | {"states": [406, 214], "expectation_value": -9.040417431474243, "params": [[-0.0494, 0.0273], [0.0707, 0.0064]], "bitstrings": ["001101001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.004492262415205671, 0.004952640081453187], "optimization_time": 2.8805389404296875} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 1.0 * Z(0) + 5.5 * Z(2) + 4.5 * Z(3) + 10.5 * Z(4) + 6.0 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "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(-0.494) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.494) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.494) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.494) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -1.4236221500655462, "params": [[0.06470000000000001, 0.0687, 0.054700000000000006, 0.058800000000000005], [-0.049800000000000004, -0.0671, -0.0492, -0.0488]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.032570092366198296, 0.03346478... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0647) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0647) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0647) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0647) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0647... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
5dad688a93671469362a3d3d00961b05 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 12.32949686050415} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[3];
cry(-0.0027) q[4], q[2];
cry(-0.0005... | 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(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
9f72c6a9228c6d67ec710234e69aa287 | 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": [218, 217], "expectation_value": -81.14303156405649, "params": [0.0023, -0.7256, 0.7834, -0.0057, 0.9689000000000001, 0.16870000000000002, -0.0016, 0.28, 0.8652000000000001, -0.004200000000000001, 0.7844, 0.0091, 0.0011, 0.7926000000000001, 1.0965, -0.0091, 0.9654, -0.0317, 0.0024000000000000002, -0.9506, 0.... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 3.5 * Z(0) + 19.0 * Z(2) + 17.5 * Z(1) + 15.0 * Z(4) + 6... | 18 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(-0.7256) q[0];
rx(0.7834) q[1];
rz(-0.0057) q[1];
rx(0.9689) q[2];
rz(0.1687) q[2];
rx(-0.0016) q[3];
rz(0.28) q[3];
rx(0.8652) q[4];
rz(-0.0042) q[4];
rx(0.7844) q[5];
rz(0.0091) q[5];
rx(0.0011) q[6];
rz(0.7926) q[6];
rx(1.0965) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 437], "expectation_value": -4.4997224841983945, "params": null, "bitstrings": ["100001010", "001001010"], "total_optimization_steps": 68, "probabilities": [0.06097763732302738, 0.8720226172622207], "optimization_time": 80.04630446434021} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | 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(1.5486) q[4];
ry(1.5486) q[1];
ry(1.4449) q[6];
cry(-1.4432) q[6], q[7];
cry(-1.0341) q[3], q[5];
cry(-1.0341) q[0], q[2];
ry(0.7044) q[3];
cry(0.7044) q[8], q[0];
cry(... | null | {"number_of_colors": 3} | {"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... |
-679162084426388165 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 2, 5, 7], [4, 7], [3, 5], [0, 1, 3, 6], [0, 1, 4, 5], [0, 1, 2, 4], [2, 6, 7]]} | {"states": [209, 110], "expectation_value": -0.08107854696753361, "params": [[0.0746], [-0.0821]], "bitstrings": ["00101110", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004285220510309417, 0.004306057337969337], "optimization_time": 0.9514827728271484} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0497) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0249) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0373) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(0.0124) 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] 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[... | null | {"circuits": [], "gradients": []} |
58927404864b316a7a7c3805d96a54c5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [159, 157], "expectation_value": -4.934152902288448, "params": [[-0.16490000000000002], [0.16540000000000002]], "bitstrings": ["101100000", "101100010"], "total_optimization_steps": 20, "probabilities": [0.00842107800337157, 0.00956875196354456], "optimization_time": 2.5458781719207764} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.3298) q[0];
cx q[3], q[0];
cx q[0], q[8];
rz(-0.4123) q[8];
cx q[0], q[8];
cx q[3], q[1];
rz(0.4947) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.907) q[2];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.07370395756336726, "params": [[-0.0424, -0.027, 0.0403], [0.055600000000000004, 0.0415, -0.0131]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008810481075726309, 0.00881048107572632], "optimization_time": 4.379936695098877} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0212) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0212) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0212) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0212) q[0];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
a91613587e2e3ed31c854337981da9dd | 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": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -1.7658384211258369, "params": [[-0.0473, -0.0575, -0.0568], [0.053000000000000005, 0.0623, 0.0664]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009568506343689527, 0.009613402253490892], "optimization_time": 7.840975999832153} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | 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(0.0237) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.0473) q[7];
cx q[0], q[7];
cx q[1], q[2];
rz(0.1183) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0237) q[3];
cx q[1], q[3];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4697271696339792707 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [501, 245], "expectation_value": -0.7327386466167433, "params": [0.9946, -0.0317, 0.9615, 0.005200000000000001, 1.0047000000000001, -0.0108, 0.9951000000000001, 0.0089, 1.0019, 0.014700000000000001, 0.9969, 0.002, 0.9951000000000001, 0.0252, 0.9998, 0.0028, 1.0058, 0.017400000000000002, 0.9977, 0.00550000000... | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9946) q[0];
rz(-0.0317) q[0];
rx(1.0047) q[1];
rz(-0.0108) q[1];
rx(1.0019) q[2];
rz(0.0147) q[2];
rx(0.9951) q[3];
rz(0.0252) q[3];
rx(1.0058) q[4];
rz(0.0174) q[4];
rx(0.9895) q[5];
rz(-0.1703) q[5];
rx(1.0028) q[6];
rz(0.0432) q[6];
rx(0.9908) 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": []} |
a25bc33cddfe63f4dc368e11c3293a34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -0.013045376207509077, "params": [[-0.019200000000000002], [0.013800000000000002]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019768976758834512, 0.001983132528256605], "optimization_time": 2.5133635997772217} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0192) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0096) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0096) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.0192) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e2e158f2cf7d16562fe0667a95b89216 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -26.898622138138766, "params": [[-0.0335, 0.0524, 0.0178], [0.079, -0.041100000000000005, -0.056600000000000004]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006907589450628259, 0.010495348606753328], "optimization_time": 6.3... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3015) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3015) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3015) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3015) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
4604930777967587027 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 7], [0, 3, 4, 6], [0, 1, 3, 6], [2, 6], [8, 7]]} | {"states": [413, 505], "expectation_value": -0.64680308480806, "params": [[-0.3821], [0.3708]], "bitstrings": ["001100010", "000000110"], "total_optimization_steps": 40, "probabilities": [0.005338531381994598, 0.005360091691646401], "optimization_time": 3.7223854064941406} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["000001101", "011010001", "001100001", "000000110", "101000010", "101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(-0.1274) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0637) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0637) q[5];
cx q[3], q[5];
cx q[4], q[7];
rz(-0.0637) q[7];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
... | null | {"circuits": [], "gradients": []} |
-6466678249990349233 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [8, 11], [11, 7], [10, 7], [9, 4], [9, 10], [2, 6], [10, 4], [1, 10], [8, 5], [8, 6], [4, 5], [1, 9], [8, 1], [10, 11], [1, 4], [10, 5], [3, 7], [8, 10], [9, 7], [1, 3], [0, 7], [11, 4], [1, 6], [6, 7], [8, 7], [10, 2], [9, 5], [2, 7], [9, 2], [2,... | {"states": [4056, 3928], "expectation_value": -6.5223410393591195, "params": [2.1494, 0.0026000000000000003, 2.5559000000000003, 0.0025, 2.9452000000000003, 0.0013000000000000002, 3.1458, -0.0287, 2.4956, 1.0836000000000001, 3.1397, 0.0177, -0.0027, -1.2730000000000001, 3.0051, -0.0015, 3.1393, 0.0679, -0.0025, -0.5325... | 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(4) @ Z(3)) + 0.5... | 4 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["110111010001", "000010100111", "111101011000", "001000101110", "010010100110", "001101011001", "101101011001", "110010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.1494) q[0];
rz(0.0026) q[0];
rx(2.5559) q[1];
rz(0.0025) q[1];
rx(2.9452) q[2];
rz(0.0013) q[2];
rx(3.1458) q[3];
rz(-0.0287) q[3];
rx(2.4956) q[4];
rz(1.0836) q[4];
rx(3.1397) q[5];
rz(0.0177) q[5];
rx(-0.0027) q[6];
rz(-1.273) q[6];
rx(3.0051) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -3.477817681660158, "params": [[[0.38380000000000003, 0.2083], [0.3889, 0.1962], [0.3839, -0.19890000000000002], [0.7992, 0.0001], [0.7988000000000001, 0.0001]], [[0.3855, 0.001], [0.3972, 0.006500000000000001], [0.3841, 0.0036000000000000003], [0.8029000000000001, 0.0061], [0.79... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3838) q[0];
rz(0.2083) q[0];
rx(0.3889) q[1];
rz(0.1962) q[1];
rx(0.3839) q[2];
rz(-0.1989) q[2];
rx(0.7992) q[3];
rz(0.0001) q[3];
rx(0.7988) q[4];
rz(0.0001) q[4];
rx(0.3855) q[0];
rz(0.001) q[0];
rx(0.3972) q[1];
rz(0.0065) q[1];
rx(0.3841) q[2];
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] x2;
input float[64] x3;
input float[6... | {"k": 3} | {"circuits": [], "gradients": []} |
2e6553942c0e3d2a42339fa11924425c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [224, 225], "expectation_value": -4.829737502933847, "params": [0.8021, 0.0051, 0.807, 0.009600000000000001, 0.8084, 0.0263, 0.38970000000000005, 0.2579, 0.0058000000000000005, 0.4198, -0.0181, -0.4267, 0.1708, -0.3452, 0.7985, 0.0048000000000000004, 0.8061, 0.0008, 0.804, -0.0148, 0.8026000000000001, 0.029,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -2.0 *... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8021) q[0];
rz(0.0051) q[0];
rx(0.807) q[1];
rz(0.0096) q[1];
rx(0.8084) q[2];
rz(0.0263) q[2];
rx(0.3897) q[3];
rz(0.2579) q[3];
rx(0.0058) q[4];
rz(0.4198) q[4];
rx(-0.0181) q[5];
rz(-0.4267) q[5];
rx(0.1708) q[6];
rz(-0.3452) q[6];
rx(0.7985) 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": []} |
4b2b5ba04f490b1a55b5e14f626537a5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [28, 76], "expectation_value": -1.483861085167321, "params": [[-0.1517], [0.164]], "bitstrings": ["1100011", "0110011"], "total_optimization_steps": 20, "probabilities": [0.014624742182278796, 0.01462474218227881], "optimization_time": 1.7784802913665771} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1517) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1517) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1517) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.1517) q[5];
cx q[0], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
c56c2877af399618eed59922d59f8e87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 3, "ta... | {"states": [196, 197], "expectation_value": -2.159939733898245, "params": [[[-0.0022, 0.0018000000000000002], [0.8022, 0.0032], [0.8068000000000001, 0.0033], [0.644, -0.0843], [0.6615, -0.0772], [0.0023, 0.6049], [0.8049000000000001, -0.0005], [0.0028, 0.5898], [0.7935, 0.0001]], [[0.0057, 0.0083], [0.7998000000000001,... | 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.1875, -4.1875, -4.1875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.1875, "smallest_bitstrings": ["100101011", "100111010", "100011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0022) q[0];
rz(0.0018) q[0];
rx(0.8022) q[1];
rz(0.0032) q[1];
rx(0.8068) q[2];
rz(0.0033) q[2];
rx(0.644) q[3];
rz(-0.0843) q[3];
rx(0.6615) q[4];
rz(-0.0772) q[4];
rx(0.0023) q[5];
rz(0.6049) q[5];
rx(0.8049) q[6];
rz(-0.0005) q[6];
rx(0.0028) 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 13.993719816207886} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(-1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[3], q[0];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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... |
8868655929581791356 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [3, 4], [0, 4], [0, 1], [1, 2], [3, 5]]} | {"states": [39, 88], "expectation_value": -0.06287440468238778, "params": [[-0.0697], [0.0766]], "bitstrings": ["1011000", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008831086702470372, 0.008831086702470372], "optimization_time": 1.1339714527130127} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-0.0697) q[3];
cx q[6], q[3];
cx q[3], q[4];
rz(-0.0697) q[4];
cx q[3], q[4];
cx q[4], q[0];
rz(-0.0697) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.0697) q[1];
cx q[0], q[1];
cx q[1], q[2... | 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[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
... | null | {"circuits": [], "gradients": []} |
5dd8a96bddc38dd91a63d32b7368ef2c | 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": [237, 109], "expectation_value": -43.70952001970163, "params": [1.5310000000000001, 0.0059, 2.6038, 0.0012000000000000001, 2.5961000000000003, 0.0013000000000000002, 0.9603, 0.004, 2.6020000000000003, 0.0018000000000000002, 2.5948, 0.0049, 0.0019, 0.0094, 2.6063, 0.007500000000000001, 0.009000000000000001, 0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.0 * Z(0) + 6.0 * Z(2) + 13.5 * Z(1) + 14.5 * Z(4) + 14.0 * Z(5) + 2.0 * Z(3) + 6.5 * Z(7) + -4.0 * Z(6) | 18 | 8 | 1 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.531) q[0];
rz(0.0059) q[0];
rx(2.6038) q[1];
rz(0.0012) q[1];
rx(2.5961) q[2];
rz(0.0013) q[2];
rx(0.9603) q[3];
rz(0.004) q[3];
rx(2.602) q[4];
rz(0.0018) q[4];
rx(2.5948) q[5];
rz(0.0049) q[5];
rx(0.0019) q[6];
rz(0.0094) q[6];
rx(2.6063) q[7];
rz(0.007... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
2d5aa07969688ad656c6a5e6ebf1d50d | 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": 10, "source": 0, "target": 1}, {"weight": 5, "source": 2, "target": 3}, {"weight": 20, "source": 2, "target": 6}, {"weight": 17, "sourc... | {"states": [119, 117], "expectation_value": -93.22476174687593, "params": [-0.0019, 0.8236, 0.2964, -0.3609, 1.0691000000000002, -0.1532, 1.0666, 0.007200000000000001, 1.069, -0.0014, -0.0026000000000000003, 0.6932, 1.0685, 0.007500000000000001, 0.48450000000000004, 0.2959, 1.0772000000000002, 0.2665, -0.00420000000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0019) q[0];
rz(0.8236) q[0];
rx(0.2964) q[1];
rz(-0.3609) q[1];
rx(1.0691) q[2];
rz(-0.1532) q[2];
rx(1.0666) q[3];
rz(0.0072) q[3];
rx(1.069) q[4];
rz(-0.0014) q[4];
rx(-0.0026) q[5];
rz(0.6932) q[5];
rx(1.0685) q[6];
rz(0.0075) q[6];
rx(0.4845) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
8ba3b716627498c896f8e55ab6717a32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [256, 153], "expectation_value": -15.445754556858061, "params": null, "bitstrings": ["011111111", "101100110"], "total_optimization_steps": 88, "probabilities": [0.1140630533423393, 0.5942544801982951], "optimization_time": 196.8855140209198} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"]} | 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(-1.2796) q[6];
ry(-1.5618) q[3];
cry(-1.5709) q[8], q[0];
ry(0.7885) q[8];
ry(0.6863) q[0];
cry(-1.0467) q[5], q[0];
cry(0.5393) q[5], q[8];
cry(-0.6488) q[4], q[0];
cry(0.499) q[8], q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.2796) 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] = ... |
391f10ae0b39617f9448bce6ece927dd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 143], "expectation_value": -37.648997729386835, "params": [2.2048, 0.0016, 1.3757000000000001, 0.006500000000000001, 1.4836, 0.0033, 1.3756000000000002, 0.0016, 2.1967000000000003, 0.0058000000000000005, 2.1951, 0.0091, 2.1952000000000003, 0.008, 2.2074000000000003, 0.0009000000000000001, 0.0043, 0.004... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 13.5 * Z(0) + 2.5 * Z(1) + 2.5 * Z(3) + 10.0 * Z(4) + 3.0 * Z(2) + 20.0 * Z(7)... | 18 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["01110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.2048) q[0];
rz(0.0016) q[0];
rx(1.3757) q[1];
rz(0.0065) q[1];
rx(1.4836) q[2];
rz(0.0033) q[2];
rx(1.3756) q[3];
rz(0.0016) q[3];
rx(2.1967) q[4];
rz(0.0058) q[4];
rx(2.1951) q[5];
rz(0.0091) q[5];
rx(2.1952) q[6];
rz(0.008) q[6];
rx(2.2074) 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, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 44.64224362373352} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.5354) q[2], q[5];
cry(1.2281) q[5], q[2];
cry(1.4175) q[5], q[6];
cry(-1.4856) q[6], q[0];
cry(1.1156) q[1], q[3];
ry(-0.4438) q[3];
cry(0.6835) q[4],... | 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(1.5158) q[4], 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]... |
fc603aae74a127a53d7b15155a35177e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01719806596521141, "params": [[0.0685], [-0.0635]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6352640836597836e-05, 1.6352640836597836e-05], "optimization_time": 14.542309045791626} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + -0.0009259259259259261 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + -0.0009259259259259261 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 7.71604... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592224], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0217592592592157, "smallest_bitstrings": ["0101010110101010"]} | 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(0.0343) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [2910, 3499], "expectation_value": -0.914829724322721, "params": [[-0.0327, -0.018000000000000002, -0.0344, -0.0651], [0.0475, 0.0146, 0.025400000000000002, 0.055600000000000004]], "bitstrings": ["010010100001", "001001010100"], "total_optimization_steps": 10, "probabilities": [0.0003952706137945617, 0.00039... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] 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];
cx q[1], q[0];
rz(-0.0327) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0327) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
e4e902d97ba530f1316e54d3eb408a10 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [315, 1339], "expectation_value": -1.2909694111520102, "params": [0.1942, 0.046, 0.2005, 0.0477, 0.1169, 0.1061, 0.11460000000000001, 0.1019, 0.2974, 0.008, 0.3033, 0.0216, 0.0969, 0.1374, 0.0969, 0.14200000000000002, 0.0917, 0.1406, 0.09290000000000001, 0.1481, 0.3007, 0.0068000000000000005, 0.3016000000000... | 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(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) ... | 7 | 11 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["00101010100", "10011000010", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.1942) q[0];
rz(0.046) q[0];
rx(0.1169) q[1];
rz(0.1061) q[1];
rx(0.2974) q[2];
rz(0.008) q[2];
rx(0.0969) q[3];
rz(0.1374) q[3];
rx(0.0917) q[4];
rz(0.1406) q[4];
rx(0.3007) q[5];
rz(0.0068) q[5];
rx(0.2968) q[6];
rz(0.0013) q[6];
rx(0.3011) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
a9409fcc1c37f00d69e6ff7314eee747 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 127], "expectation_value": -7.412372257379218, "params": [-0.37260000000000004, 0.9998, 0.2049, 0.49560000000000004, 0.2359, 1.1216000000000002, 0.006500000000000001, 0.9074000000000001, 0.40740000000000004, 0.4348, 0.4475, 1.6281, -0.5, 0.7925000000000001, -0.28040000000000004, 1.4189, 0.5829, 0.7126, 0... | -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(0) | 6 | 8 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.3726) q[0];
rz(0.9998) q[0];
rx(0.2359) q[1];
rz(1.1216) q[1];
rx(0.4074) q[2];
rz(0.4348) q[2];
rx(-0.5) q[3];
rz(0.7925) q[3];
rx(0.5829) q[4];
rz(0.7126) q[4];
rx(-0.5716) q[5];
rz(1.0928) q[5];
rx(0.5189) q[6];
rz(-0.1802) q[6];
rx(0.5113) 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[... | {"node": 0} | {"circuits": [], "gradients": []} |
6daefc4dd59cf0044a6f4465e7314486 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [0, 3], "expectation_value": -2.6124077370048835, "params": [[-0.0461], [0.0562]], "bitstrings": ["111111111", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0030905671864925547, 0.0031535187081371567], "optimization_time": 3.4620227813720703} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -4.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111111100"]} | 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(0.2766) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.2766) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2305) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(0.3227) q[6];
cx q[2], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[... | {"node": 4} | {"circuits": [], "gradients": []} |
78352b36d64b35d780c91f540c949806 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -31.693627463498203, "params": [1.1179000000000001, 2.1057, 0.1107, 0.0045000000000000005, -1.1252, 1.8170000000000002, 0.2873, 0.002, -0.002, 1.2259, 0.002, 0.0007, -1.1296000000000002, 1.1998, 0.1293, 0.0068000000000000005, 0.0032, 2.1679, -0.003, 0.0012000000000000001, 0.003... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1179) q[0];
rz(2.1057) q[0];
rx(-1.1252) q[1];
rz(1.817) q[1];
rx(-0.002) q[2];
rz(1.2259) q[2];
rx(-1.1296) q[3];
rz(1.1998) q[3];
rx(0.0032) q[4];
rz(2.1679) q[4];
rx(0.0033) q[5];
rz(2.2166) q[5];
rx(0.0032) q[6];
rz(2.2172) q[6];
rx(0.0033) 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": 3} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -4.365054178262918, "params": [[[0.0002, 0.1943], [0.4923, 0.0004], [-0.0025, 0.2903], [0.48600000000000004, 0.00030000000000000003]], [[0.0014, 0.08610000000000001], [0.4964, 0.0004], [-0.0008, 0.3627], [0.4869, 0.00030000000000000003]], [[-0.0044, 0.17750000000000002], [0.4918,... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0002) q[0];
rz(0.1943) q[0];
rx(0.4923) q[1];
rz(0.0004) q[1];
rx(-0.0025) q[2];
rz(0.2903) q[2];
rx(0.486) q[3];
rz(0.0003) q[3];
rx(0.0014) q[0];
rz(0.0861) q[0];
rx(0.4964) q[1];
rz(0.0004) q[1];
rx(-0.0008) q[2];
rz(0.3627) q[2];
rx(0.4869) q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
d38a98190cf444fbfb5f2b195c4aef5e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [98, 70], "expectation_value": -5.8748610861216655, "params": [0.09040000000000001, 0.0019, 0.20470000000000002, 0.0007, 0.5065000000000001, 0.0023, 0.5071, 0.0011, 0.5002, -0.0054, 0.497, -0.0043, 0.045700000000000005, 0.1119, 0.0902, 0.0645, 0.0936, 0.1056, 0.2093, 0.020300000000000002, 0.49860000000000004... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["10111001", "10011101", "01110110", "00110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0904) q[0];
rz(0.0019) q[0];
rx(0.5065) q[1];
rz(0.0023) q[1];
rx(0.5002) q[2];
rz(-0.0054) q[2];
rx(0.0457) q[3];
rz(0.1119) q[3];
rx(0.0936) q[4];
rz(0.1056) q[4];
rx(0.4986) q[5];
rz(-0.007) q[5];
rx(0.5007) q[6];
rz(0.0023) q[6];
rx(0.0782) 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": []} |
9194789fd8ef7285e3eb985ead1ac825 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [240, 255], "expectation_value": -2.6567380470123165, "params": [[-0.0765], [0.0745]], "bitstrings": ["111100001111", "111100000000"], "total_optimization_steps": 10, "probabilities": [0.0005927883024500464, 0.0006357574908546831], "optimization_time": 6.81041407585144} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] 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];
cx q[1], q[0];
rz(0.3825) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2295) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3825) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] 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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 4} | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | 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": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 149.72674036026} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "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];
ry(9.9081) q[3];
ry(6.5925) q[2];
ry(38.2322) q[6];
ry(18.5827) q[5];
ry(55.6749) q[1];
cry(10.6699) q[6], q[2];
cry(-26.8295) q[6], q[3];
cry(63.6719) q[3], q[5];
cry(-16.3896) q[6], q[5];
ry(-3.... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
6440352897ae715b0d3a7f54566e1380 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -9.940938289635072, "params": [[-0.046], [0.0738]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.00761585562069291, 0.008597335858610604], "optimization_time": 1.811805248260498} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.368) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.368) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.368) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.368) q[3];
cx q[1], q[3];
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;
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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [28, 106], "expectation_value": -0.39340972325571477, "params": [[-0.061200000000000004, -0.0653], [0.0674, 0.06860000000000001]], "bitstrings": ["1100011", "0010101"], "total_optimization_steps": 10, "probabilities": [0.010568204172529348, 0.010985805711482137], "optimization_time": 6.2016260623931885} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"]} | 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(-0.0612) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0612) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0612) q[6];
cx q[0], q[6];
cx q[4], q[6];
rz(-0.0612) q[6];
cx q[4], q[6];
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;
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[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
0af33a976ec1c381deaa423c18839faf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [9, 41], "expectation_value": -2.5349316508193427, "params": [0.0022, 0.0032, 1.6037000000000001, 0.0044, 0.5532, 0.0018000000000000002, 1.6062, 0.006200000000000001, -0.0028, 0.0013000000000000002, -0.0026000000000000003, 0.0008, 1.6069, 0.0045000000000000005, 0.0021000000000000003, 0.0035, 0.00450000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 16 | 7 | 1 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0022) q[0];
rz(0.0032) q[0];
rx(1.6037) q[1];
rz(0.0044) q[1];
rx(0.5532) q[2];
rz(0.0018) q[2];
rx(1.6062) q[3];
rz(0.0062) q[3];
rx(-0.0028) q[4];
rz(0.0013) q[4];
rx(-0.0026) q[5];
rz(0.0008) q[5];
rx(1.6069) q[6];
rz(0.0045) q[6];
crz(0.0021) q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b23cde890d8b1ae4239a91aa0ab68c6f | 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": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [250, 218], "expectation_value": -76.99352005575132, "params": [0.3148, 0.6788000000000001, 0.7569, -0.0172, 1.3091000000000002, 0.0386, 1.4996, 0.6208, 1.1391, 0.0267, 1.4855, 0.001, 0.6739, 0.5724, 1.4965000000000002, -0.13520000000000001, 0.39180000000000004, 0.5849, 0.26230000000000003, -0.4188, 1.3933, ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3148) q[0];
rz(0.6788) q[0];
rx(0.7569) q[1];
rz(-0.0172) q[1];
rx(1.3091) q[2];
rz(0.0386) q[2];
rx(1.4996) q[3];
rz(0.6208) q[3];
rx(1.1391) q[4];
rz(0.0267) q[4];
rx(1.4855) q[5];
rz(0.001) q[5];
rx(0.6739) q[6];
rz(0.5724) q[6];
rx(1.4965) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [192, 127], "expectation_value": -5.209158285142981, "params": [[-0.0664, -0.0683, -0.06420000000000001], [0.0682, 0.0684, 0.0668]], "bitstrings": ["00111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.01728862401094645, 0.01833945239040957], "optimization_time": 5.611666440963745} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0996) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1328) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.166) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(-0.2988) q[7];
cx q[0], q[7];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
01c79553cd838cd252f6e60dedff49e5 | 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": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 142.9818229675293} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
cry(1.5706) q[6], q[3];
ry(0.7237) q[6];
ry(1.5698) q[2];
ry(1.5677) q[1];
cry(1.5695) q[3], q[4];
cry(0.5072) q[3], q[6];
cry(0.2743) q[4], q[3];
cry(1.4449) q[2], q[7];
cry(-1.4... | 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(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
7e730361c33ee13441f322b05b11c58b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -11.217576442886156, "params": [[[-0.0024000000000000002, 1.6144], [0.0016, 0.0023], [0.0016, 0.0017000000000000001], [0.0016, 0.0019], [0.002, 0.0017000000000000001], [0.0016, 0.002], [0.0016, 0.002], [0.0016, 0.0019], [0.0016, 0.0021000000000000003], [-0.0028, 0.002400000000... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0024) q[0];
ry(0.0016) q[1];
ry(0.0016) q[2];
ry(0.0016) q[3];
ry(0.002) q[4];
ry(0.0016) q[5];
ry(0.0016) q[6];
ry(0.0016) q[7];
ry(0.0016) q[8];
ry(-0.0028) q[9];
ry(0.0025) q[10];
ry(0.0025) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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[12] c;
qubit[12... | {"node": 12} | {"circuits": [], "gradients": []} |
a07625cca84d78086a82f53802ed13a6 | 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": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -11.355195248308831, "params": [-0.0151, -0.025, -0.0095, 0.046400000000000004, -0.0004, 0.2237, -0.0036000000000000003, 0.24100000000000002, -0.0057, 0.1691, 0.0007, 0.23520000000000002, -0.0031000000000000003, 0.1882, -0.0071, 0.1416, -0.001, 0.23440000000000003, -0.0032, 0.237... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z... | 6 | 10 | 3 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0151) q[0];
rz(-0.025) q[0];
rx(-0.0004) q[1];
rz(0.2237) q[1];
rx(-0.0057) q[2];
rz(0.1691) q[2];
rx(-0.0031) q[3];
rz(0.1882) q[3];
rx(-0.001) q[4];
rz(0.2344) q[4];
rx(-0.0058) q[5];
rz(0.1975) q[5];
rx(-0.0031) q[6];
rz(0.2235) q[6];
rx(-0.0011) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-8552380546948151023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 8, 9], [0, 1, 2, 3, 4, 5, 9], [1, 2, 4, 6, 7, 8], [0, 1, 5, 6, 8, 9], [0, 1, 4, 7, 9], [0, 6, 7, 8, 9], [0, 3, 4, 6, 7], [2, 3, 5, 7, 9], [3, 4, 6, 7, 8], [0, 2, 4, 5, 6, 7, 9], [1, 5, 6, 7]]} | {"states": [886, 950], "expectation_value": -2.1907624203438387, "params": [1.5662, 0.0027, 1.5697, 0.0076, 1.6613, -0.005200000000000001, 1.4846000000000001, -1.5678, 0.4444, 0.0016, 0.8194, 0.0013000000000000002, 1.6255000000000002, 0.149, 1.2304000000000002, -0.22190000000000001, 1.572, 0.002, 1.5741, 0.001300000000... | 0.10714285714285715 * (Z(2) @ Z(3)) + 0.15714285714285714 * (Z(4) @ Z(3)) + 0.11428571428571428 * (Z(4) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(3)) + 0.13095238095238096 * (Z(5) @ Z(2)) + 0.08095238095238094 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(3)) + 0.06666666666666667 * (Z(8) @ Z(2)) + 0.11666666666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-2.197619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1833333333333336, "smallest_bitstrings": ["0001001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5662) q[0];
rz(0.0027) q[0];
rx(1.6613) q[1];
rz(-0.0052) q[1];
rx(0.4444) q[2];
rz(0.0016) q[2];
rx(1.6255) q[3];
rz(0.149) q[3];
rx(1.572) q[4];
rz(0.002) q[4];
rx(1.5726) q[5];
rz(0.0022) q[5];
rx(-0.1142) q[6];
rz(0.0033) q[6];
rx(1.8122) 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": []} |
d852e184ada04dc72c5523c7d0652e20 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [591, 590], "expectation_value": -5.361147519457769, "params": [0.8419000000000001, -0.0045000000000000005, 0.8338, 0.0019, -0.0015, -0.464, -0.0014, 0.0039000000000000003, 0.7409, 0.033800000000000004, 0.7466, 0.0004, 0.9085000000000001, -0.001, 0.9016000000000001, 0.0083, -0.0064, 0.4596, -0.00650000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110111000", "1100111000", "0110110001", "1100110001", "0010110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8419) q[0];
rz(-0.0045) q[0];
rx(-0.0015) q[1];
rz(-0.464) q[1];
rx(0.7409) q[2];
rz(0.0338) q[2];
rx(0.9085) q[3];
rz(-0.001) q[3];
rx(-0.0064) q[4];
rz(0.4596) q[4];
rx(0.0038) q[5];
rz(-0.4868) q[5];
rx(0.8304) q[6];
rz(0.0057) q[6];
rx(0.902) 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": []} |
-773711819106880432 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [1, 2, 5], [4, 6], [4, 5], [0, 4], [2, 3, 4, 7], [0, 1, 3, 6, 7], [2, 3, 5, 6], [1, 2, 4, 7], [1, 3, 4, 7]]} | {"states": [167, 120], "expectation_value": -0.11786579027572973, "params": [[-0.0838], [0.07590000000000001]], "bitstrings": ["01011000", "10000111"], "total_optimization_steps": 10, "probabilities": [0.0044115851854844845, 0.004435208601202261], "optimization_time": 0.9348716735839844} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10000111"]} | 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(-0.0698) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(-0.0419) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(-0.0363) q[6];
cx q[1], q[6];
cx q[2], q[5];
rz(-0.0419) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
a77eb5d2d5d9ffe0797bdf910ce4dc93 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -10.867320446253897, "params": [0.0039000000000000003, -0.3332, 0.0033, 0.0028, 0.0022, -0.4964, 0.0021000000000000003, 0.0039000000000000003, 0.8087000000000001, 0.0516, 0.8092, 0.0064, 0.0024000000000000002, -0.27140000000000003, 0.0023, 0.002, 0.0021000000000000003, -0.5531,... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["11011111111", "11011111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0039) q[0];
rz(-0.3332) q[0];
rx(0.0022) q[1];
rz(-0.4964) q[1];
rx(0.8087) q[2];
rz(0.0516) q[2];
rx(0.0024) q[3];
rz(-0.2714) q[3];
rx(0.0021) q[4];
rz(-0.5531) q[4];
rx(0.0022) q[5];
rz(-0.5839) q[5];
rx(0.0023) q[6];
rz(-0.5712) q[6];
rx(0.0026) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
352869596703506385 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 7], [10, 3], [9, 6], [0, 11], [1, 5], [2, 4], [1, 7], [8, 3], [4, 7], [0, 1], [0, 3], [4, 6], [2, 11], [0, 10], [9, 10], [9, 5], [0, 5], [10, 6], [2, 7], [2, 6], [11, 5], [1, 11], [0, 7], [2, 12], [9, 12], [10, 12], [10, 7], [0, 9], [11, 6], [8, ... | {"states": [2618, 2682], "expectation_value": -8.077447559005869, "params": [-0.0028, -0.0028, 1.5841, 1.5621, -0.002, -0.002, 2.2449, 0.889, 0.0245, -0.053200000000000004, -0.0027, -0.0027, 0.8646, 0.8641000000000001, 1.5732000000000002, 1.5741, 1.576, 1.5711000000000002, 1.5689000000000002, 1.5771000000000002, -0.002... | 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1010110000101", "0000010111110", "0101001111010", "1111101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0028) q[0];
ry(1.5841) q[1];
ry(-0.002) q[2];
ry(2.2449) q[3];
ry(0.0245) q[4];
ry(-0.0027) q[5];
ry(0.8646) q[6];
ry(1.5732) q[7];
ry(1.576) q[8];
ry(1.5689) q[9];
ry(-0.0029) q[10];
ry(1.5734) q[11];
ry(-0.0022) q[12];
crz(-1.5199) q[12], q[0];
crz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
787e0bfd359c5676c8eb0120a2f9dd29 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [629, 613], "expectation_value": -89.43286981540905, "params": [0.45990000000000003, 0.46840000000000004, 0.9074000000000001, 0.021, 0.0023, 0.4514, -0.0006000000000000001, 0.49010000000000004, 0.899, -0.0006000000000000001, 0.8978, 0.11570000000000001, 0.44970000000000004, 0.249, -0.0043, 0.6042000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 7.5 * Z(0) + 5.5 * Z(1) + -3.0 * Z(3) + 14.5 * Z(5) +... | 18 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["10110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4599) q[0];
rz(0.4684) q[0];
rx(0.9074) q[1];
rz(0.021) q[1];
rx(0.0023) q[2];
rz(0.4514) q[2];
rx(-0.0006) q[3];
rz(0.4901) q[3];
rx(0.899) q[4];
rz(-0.0006) q[4];
rx(0.8978) q[5];
rz(0.1157) q[5];
rx(0.4497) q[6];
rz(0.249) q[6];
rx(-0.0043) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
7d2e8354bbcbc456262414017816878c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [80, 82], "expectation_value": -5.824241999039182, "params": [0.5958, -0.0031000000000000003, 0.0021000000000000003, 0.372, 0.611, 0.137, 0.0033, 0.3507, 0.1038, 0.4108, 0.5940000000000001, 0.2076, -0.0123, 0.3554, 0.601, 0.0022, -0.0034000000000000002, 0.3795, 0.6065, 0.1539, 0.003, 0.3552, 0.0949, 0.432, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 3 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5958) q[0];
rz(-0.0031) q[0];
rx(0.0021) q[1];
rz(0.372) q[1];
rx(0.611) q[2];
rz(0.137) q[2];
rx(0.0033) q[3];
rz(0.3507) q[3];
rx(0.1038) q[4];
rz(0.4108) q[4];
rx(0.594) q[5];
rz(0.2076) q[5];
rx(-0.0123) q[6];
rz(0.3554) q[6];
crz(0.1525) q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8520210685024926198 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [3, 6], [0, 5], [1, 5], [4, 6]]} | {"states": [113, 97], "expectation_value": -1.2911964374401348, "params": [1.0030000000000001, 0.023200000000000002, 1.0012, 0.0019, 1.0083, 0.0359, 1.004, 0.007200000000000001, 0.9955, -0.2041, 0.7792, 0.0009000000000000001, 0.9945, 0.0318, 0.34690000000000004, 0.0031000000000000003, 1.0046, 0.0179, 0.3504, 0.0056, 0.... | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 *... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011110", "1101100", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.003) q[0];
rz(0.0232) q[0];
rx(1.0083) q[1];
rz(0.0359) q[1];
rx(0.9955) q[2];
rz(-0.2041) q[2];
rx(0.9945) q[3];
rz(0.0318) q[3];
rx(1.0046) q[4];
rz(0.0179) q[4];
rx(0.533) q[5];
rz(0.0126) q[5];
rx(1.0063) q[6];
rz(0.0317) q[6];
crx(-0.3996) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.4960403101269373, "params": null, "bitstrings": ["111", "101"], "total_optimization_steps": 6, "probabilities": [0.0039596610753226446, 0.9960403245258139], "optimization_time": 1.5217788219451904} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[0];
ry(-1.5681) q[2];
ry(1.4449) q[1];
cry(-0.0027) q[1], q[0];
cry(-0.0027) q[1], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nry(-1.5681)... |
c27e04a1b516da945dec2e0c25bb156f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 96.37931370735168} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[6];
cry(-1.5708) q[8], q[0];
ry(1.0958) q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[2];
ry(-1.4894) q[4];
ry(-1.4915) q[5];
ry(-1.5709) q[3];
ry(-0.581) q[0];
cry(0.3802) q[1], q[8... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
7494574309123452668 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 1], [5, 7], [3, 6], [3, 5], [1, 5], [5, 6], [1, 4], [0, 4], [0, 2], [6, 7], [1, 7], [4, 6], [1, 6], [2, 6], [0, 3]]} | {"states": [57, 198], "expectation_value": -0.14530536824846865, "params": [[0.0666], [-0.0702]], "bitstrings": ["11000110", "00111001"], "total_optimization_steps": 10, "probabilities": [0.004505837073505162, 0.004505837073505162], "optimization_time": 0.7016832828521729} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111001", "11000110", "01111001", "00111101", "11000010", "10000110"]} | 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(0.0666) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(0.0666) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0666) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0666) q[5];
cx q[1], q[5];
cx q[1],... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1]... | null | {"circuits": [], "gradients": []} |
837aef83bf03fd18b079a281d9de166f | 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": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [179, 122], "expectation_value": -6.136561092202148, "params": [[0.0442], [-0.0375]], "bitstrings": ["01001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.005761267466221731, 0.0059965565212379], "optimization_time": 2.134361743927002} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "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(0.3536) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3536) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3536) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3536) q[3];
cx q[0], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 69.22995018959045} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[0];
ry(0.8148) q[5];
cry(-1.5708) q[4], q[2];
ry(0.7607) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8901) q[3];
ry(-0.3824) q[1];
ry(-0.3222) q[0];
cry(-0.3012) q[3], q[2];
cry(0.4283) q[3], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
1e8eda70963a542719de9c9e93de4b5d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": ... | {"states": [258, 262], "expectation_value": -20.16523427317501, "params": [-0.0111, -0.0094, -0.007500000000000001, -0.0012000000000000001, 0.0005, -0.0054, 0.30360000000000004, 0.29910000000000003, -0.0035, -0.001, 0.0015, 0.0011, 0.0, -0.0024000000000000002, -0.0032, -0.0035, -0.007500000000000001, -0.001, 0.2912, 0.... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["111011111001", "111011111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0111) q[0];
ry(-0.0075) q[1];
ry(0.0005) q[2];
ry(0.3036) q[3];
ry(-0.0035) q[4];
ry(0.0015) q[5];
ry(0) q[6];
ry(-0.0032) q[7];
ry(-0.0075) q[8];
ry(0.2912) q[9];
ry(0.2935) q[10];
ry(0.0012) q[11];
crx(-0.195) q[11], q[0];
crx(-0.008) 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [128, 1], "expectation_value": -5.9774369290707385, "params": [[-0.0424, -0.024200000000000003, -0.055, -0.0383], [0.057300000000000004, 0.011600000000000001, 0.058, 0.055]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01530714817058749, 0.018356031049646802], ... | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1484) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2756) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1484) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1272) q[4];
cx q[1], q[4];
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": []} |
d2afe27b0de0de0693309013bd4cb7f6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [19, 104], "expectation_value": -0.1675627794017114, "params": [[-0.0766], [0.0727]], "bitstrings": ["1101100", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008958561902615805, 0.008972567650702413], "optimization_time": 1.328526496887207} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010111", "1010011", "1111000", "1100110", "1110010", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0766) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0766) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0766) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0766) q[6];
cx q[0], q[6];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 22.295941829681396} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
ry(1.5708) q[6];
ry(-1.5708) q[0];
cry(-1.5708) q[1], q[4];
ry(-1.5486) q[2];
ry(-1.5708) q[3];
ry(-1.4449) q[5];
cry(-0.1188) q[1], q[5];
cry(-0.0222) q[1], q[2];
cry(-0.0001) q[1], q[0]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
89d5c825b6a0ab169a92c6e188014bcd | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [92, 124], "expectation_value": -3.5791466698045458, "params": [-0.0162, -0.3861, 0.8059000000000001, -0.0448, 0.8055, -0.0014, 0.81, -0.0015, 0.8101, 0.0025, 0.81, -0.0029000000000000002, -0.0171, 0.46130000000000004, 0.1699, -0.263, -0.0158, 0.0024000000000000002, 0.8082, 0.0039000000000000003, 0.8001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(7) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0162) q[0];
rz(-0.3861) q[0];
rx(0.8059) q[1];
rz(-0.0448) q[1];
rx(0.8055) q[2];
rz(-0.0014) q[2];
rx(0.81) q[3];
rz(-0.0015) q[3];
rx(0.8101) q[4];
rz(0.0025) q[4];
rx(0.81) q[5];
rz(-0.0029) q[5];
rx(-0.0171) q[6];
rz(0.4613) q[6];
rx(0.1699) 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": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 28.75538182258606} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"]} | 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(1.5706) q[1];
cry(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
cry(-1.4868) q[6], q[0];
cry(1.121) q[4], q[6];
cry(-0.505) q[4], q[0];
ry(-1.2139) q[5];
cry(0.2304) q[2], q[6];
cry(-0.183) q[1], q[0];
c... | 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(1.5706) 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", "... |
6de3ca972134e3b2df718cabf76739a9 | 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": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 23.267864227294922} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[2];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[1];
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[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... |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.09951357577745329, "params": [[0.0422, -0.056, -0.056600000000000004], [-0.0752, 0.0332, 0.055200000000000006]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.01777568240571452, 0.01800759355657221], "optimization_time": 2.1476705074... | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"]} | 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[5], q[0];
rz(0.0211) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(-0.0633) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(-0.0633) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.0211) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
5599bf10ca71927ac876cacb8b12fa55 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [22, 69], "expectation_value": -2.5820774408450866, "params": [[-0.054, -0.0473, -0.0753, -0.06860000000000001], [0.07300000000000001, 0.050100000000000006, 0.07060000000000001, 0.0694]], "bitstrings": ["1101001", "0111010"], "total_optimization_steps": 10, "probabilities": [0.020975243442590087, 0.021802322... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.054) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.054) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.054) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.054) q[3];
cx q[0], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a25bc33cddfe63f4dc368e11c3293a34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -0.5110879517186167, "params": [[-0.0476, -0.0668], [0.057, 0.07060000000000001]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0030386446240473044, 0.0033833846977857434], "optimization_time": 3.97324275970459} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0476) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0238) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0238) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.0476) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1e66658283a5aa7556a964c41aeb84ff | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -11.646647098023237, "params": [[[-0.0017000000000000001, -0.786], [-0.0026000000000000003, 0.0017000000000000001], [-0.0023, -0.0025], [-0.0022, -0.003], [-0.003, -0.0028], [-0.0027, -0.0039000000000000003], [0.0049, -0.0193], [1.7432, -0.0005]], [[0.5326000000000001, -1.6281]... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0017) q[0];
ry(-0.0026) q[1];
ry(-0.0023) q[2];
ry(-0.0022) q[3];
ry(-0.003) q[4];
ry(-0.0027) q[5];
ry(0.0049) q[6];
ry(1.7432) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 33.803727865219116} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [24, 12], "expectation_value": -0.4384972971992085, "params": [[-0.053200000000000004, -0.0342], [0.0674, 0.051500000000000004]], "bitstrings": ["100111", "110011"], "total_optimization_steps": 10, "probabilities": [0.018272709694198436, 0.018272709694198447], "optimization_time": 2.826350688934326} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0532) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0532) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0532) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0532) q[3];
cx q[0], q[3];
cx q[0], q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
-3023800187148767574 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [0, 3], [4, 5, 6], [1, 2, 3, 4, 7], [6, 7], [5, 7], [0, 1, 2]]} | {"states": [201, 118], "expectation_value": -0.05135044907505144, "params": [[-0.0659], [0.0709]], "bitstrings": ["00110110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00423697202760991, 0.004262341700665841], "optimization_time": 3.1335909366607666} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "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(-0.0439) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.022) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.022) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(-0.0066) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | null | {"circuits": [], "gradients": []} |
d255f243d36c9a74978598fd3f1ae2aa | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -0.10189312666893646, "params": [[-0.013800000000000002], [0.020200000000000003]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002018531355446938, 0.002035096095475269], "optimization_time": 2.8218889236450195} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "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[2], q[0];
rz(0.0345) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0345) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0276) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.0138) q[7];
cx q[0], 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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
383e9bbba4c1f2fb35a314751837dc18 | 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": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [184, 182], "expectation_value": -1.9275725656555316, "params": [[[0.0182, -0.4525, 0.0, 0.0081], [1.0063, 0.4212, 0.8621000000000001, 0.029], [0.07060000000000001, 0.4862, -0.0707, -0.224], [-0.0833, -0.37460000000000004, 0.5743, 0.0057], [0.1446, -0.7499, 0.09380000000000001, 0.08900000000000001], [-0.1073... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ 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)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101100", "101000011", "011001100", "010111000", "011001001", "101100010", "011101000", "101001001", "101000110", "100100110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0182) q[0];
rz(-0.4525) q[0];
ry(1.0063) q[1];
rz(0.4212) q[1];
ry(0.0706) q[2];
rz(0.4862) q[2];
ry(-0.0833) q[3];
rz(-0.3746) q[3];
ry(0.1446) q[4];
rz(-0.7499) q[4];
ry(-0.1073) q[5];
rz(0.3473) q[5];
ry(0.8639) q[6];
rz(0.3075) q[6];
ry(-0.3523) 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": []} |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.839404930713778, "params": [-0.46480000000000005, 0.8548, -0.4007, 0.8624, -0.4652, 0.8417, -0.39440000000000003, 0.8318000000000001, -0.38280000000000003, 0.5495, -0.3269, 0.763, 0.4197, 0.6806, 0.4242, 0.2828, 0.398, 0.6446000000000001, 0.42250000000000004, 0.436700000000000... | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 6 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(-0.4648) q[0];
rz(0.8548) q[0];
rx(-0.4652) q[1];
rz(0.8417) q[1];
rx(-0.3828) q[2];
rz(0.5495) q[2];
crx(0.4637) q[2], q[1];
crx(0.5536) q[2], q[0];
crx(0.0646) q[1], q[2];
crx(0.5536) q[1], q[0];
crx(0.0646) q[0], q[2];
crx(0.4637) q[0], q[1];
rx(-0.4007)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
0331c5ff83e33f6c47413b32d0c31ca9 | 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": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target":... | {"states": [1024, 1023], "expectation_value": -29.765630318430688, "params": [[[-0.0051, -0.0095], [-0.0038, -0.0033], [-0.0031000000000000003, 0.0023], [-0.0032, -0.0029000000000000002], [-0.0028, -0.0026000000000000003], [-0.0024000000000000002, 0.0021000000000000003], [-0.0015, -0.0022], [-0.0029000000000000002, -0.... | -1.5 * (Z(0) @ Z(7)) + -3.0 * (Z(6) @ Z(7)) + -0.75 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(3)) + -3.0 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(1)) + -2.0 * (Z(10) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-30.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0051) q[0];
ry(-0.0038) q[1];
ry(-0.0031) q[2];
ry(-0.0032) q[3];
ry(-0.0028) q[4];
ry(-0.0024) q[5];
ry(-0.0015) q[6];
ry(-0.0029) q[7];
ry(-0.0013) q[8];
ry(-0.007) q[9];
ry(-0.0022) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
98adf9f7d6911da724636e2a906ef515 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2090, 2106], "expectation_value": -143.33538873164838, "params": [[0.6368, -0.0763, 0.0036000000000000003, -0.001, -0.0006000000000000001, -0.024200000000000003, 0.9026000000000001, 0.0097, 0.7928000000000001, -0.0004, 0.63, 0.0023], [0.6331, -0.0629, 0.0034000000000000002, 0.0005, 0.0055000000000000005, -0... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(3) @ Z(8)) + 8.5 * (Z(5) @ Z(8)) + 8.5 * (Z(6) @ Z(8)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(10) @ Z(0)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(11) @ Z(6)) + 7.5 * Z(0) + -5.0 * Z(1) + 25.0 * Z(8) + -3.5 * Z(3) + 9.5 * Z(5) + 23.0 * ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-151.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -143.5, "smallest_bitstrings": ["011111000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6368) q[0];
ry(-0.0763) q[1];
ry(0.0036) q[2];
ry(-0.001) q[3];
ry(-0.0006) q[4];
ry(-0.0242) q[5];
ry(0.9026) q[6];
ry(0.0097) q[7];
ry(0.7928) q[8];
ry(-0.0004) q[9];
ry(0.63) q[10];
ry(0.0023) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
e1e31cd8da97b1296222838354d79204 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -11.775911258108993, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 63, "probabilities": [0.18032391976793935, 0.5362755427858598], "optimization_time": 54.22795820236206} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[7];
ry(-1.5577) q[6];
ry(-1.5708) q[5];
cry(1.5681) q[4], q[3];
cry(1.231) q[3], q[4];
cry(1.57) q[3], q[2];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-0.1099) q[2];
cry(0.1... | null | {"node": 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(-1.5708) 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... |
852e5560d0cbc49d98025b68fdf4272e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "ta... | {"states": [127, 63], "expectation_value": -13.005512448647742, "params": [[[-1.5831000000000002, 0.0019], [0.0025, 0.0022], [0.0023, 0.0032], [0.0023, 0.0022], [-0.0132, 0.009000000000000001], [0.0029000000000000002, 0.0061], [3.1579, 0.001]]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 320, "pr... | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(0) | 2 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-1.5831) q[0];
rz(0.0019) q[0];
rx(0.0025) q[1];
rz(0.0022) q[1];
rx(0.0023) q[2];
rz(0.0032) q[2];
rx(0.0023) q[3];
rz(0.0022) q[3];
rx(-0.0132) q[4];
rz(0.009) q[4];
rx(0.0029) q[5];
rz(0.0061) q[5];
rx(3.1579) q[6];
rz(0.001) q[6];
cx q[6], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"node": 1} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [254, 238], "expectation_value": -3.946342952641631, "params": [0.49250000000000005, -0.18460000000000001, 0.49150000000000005, -0.2162, 0.7421, 0.042, 0.7522000000000001, 0.0267, 0.7705000000000001, 0.0345, 0.7684000000000001, 0.0392, 0.7615000000000001, 0.0412, 0.7645000000000001, 0.028900000000000002, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4925) q[0];
rz(-0.1846) q[0];
rx(0.7421) q[1];
rz(0.042) q[1];
rx(0.7705) q[2];
rz(0.0345) q[2];
rx(0.7615) q[3];
rz(0.0412) q[3];
rx(0.5158) q[4];
rz(-0.1318) q[4];
rx(0.6839) q[5];
rz(0.0066) q[5];
rx(0.7592) q[6];
rz(0.0274) q[6];
rx(0.7297) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
6de3ca972134e3b2df718cabf76739a9 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 695], "expectation_value": -0.3450996307596875, "params": [[-0.043000000000000003, -0.051300000000000005, -0.067, -0.0746], [0.0526, 0.0568, 0.0613, 0.06620000000000001]], "bitstrings": ["1001000010", "0101001000"], "total_optimization_steps": 10, "probabilities": [0.0020503740009507423, 0.002050374000... | 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(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"]} | 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(-0.0215) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0215) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0215) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cccde4707d298ae394e20cc161e11586 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [43, 9], "expectation_value": -6.005414055225549, "params": null, "bitstrings": ["111010100", "111110110"], "total_optimization_steps": 41, "probabilities": [0.2593643855933671, 0.3078667096801273], "optimization_time": 61.584296226501465} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
cry(-1.5708) q[8], q[0];
ry(1.0832) q[8];
ry(-0.544) q[0];
ry(-1.5697) q[6];
ry(-1.5697) q[2];
ry(-1.5601) q[3];
cry(0.3484) q[5], q[8... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
ac8f6040a5bb03cdcb904dd06b95ed2a | 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": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [128, 9], "expectation_value": -5.231137130549852, "params": [[0.1937], [-0.5073]], "bitstrings": ["01111111", "11110110"], "total_optimization_steps": 60, "probabilities": [0.030250087794122412, 0.03257381372036792], "optimization_time": 2.7279975414276123} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | 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(-0.2906) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(0.3874) q[7];
cx q[0], q[7];
cx q[2], q[4];
rz(-0.2906) q[4];
cx q[2], q[4];
cx q[7], q[4];
rz(-0.3874) q[4];
cx q[7], q[4];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
199bc20adfdca6d6b6a06391ec8e4ac2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [99, 75], "expectation_value": -3.7906260986707565, "params": null, "bitstrings": ["0011100", "0110100"], "total_optimization_steps": 48, "probabilities": [0.047690833434271065, 0.8614512857581781], "optimization_time": 45.532243728637695} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"]} | 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(-1.5681) q[2];
ry(-1.4449) q[6];
ry(1.4449) q[0];
cry(-1.0398) q[5], q[4];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[5];
ry(0.7022) q[3];
ry(-0.4578) q[1];
cry(0.497) q[0], q[3];
ry(-0.4578) q[4];
cry(0.49... | 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(-1.5681) 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];\nc[6] = measure q[6];\n", ... |
58fa04385078dcdc0b5f9361c481400a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [207, 143], "expectation_value": -0.8639907828194455, "params": [1.0583, 0.1666, 0.8511000000000001, 0.5588000000000001, 0.3299, 0.5452, 0.30260000000000004, 0.5536, 1.2921, 0.36000000000000004, 1.0404, -0.056400000000000006, 1.2271, -0.44020000000000004, 1.2304000000000002, -0.3678, 1.0348, 0.00520000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 18 | 8 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0583) q[0];
rz(0.1666) q[0];
rx(0.8511) q[1];
rz(0.5588) q[1];
rx(0.3299) q[2];
rz(0.5452) q[2];
rx(0.3026) q[3];
rz(0.5536) q[3];
rx(1.2921) q[4];
rz(0.36) q[4];
rx(1.0404) q[5];
rz(-0.0564) q[5];
rx(1.2271) q[6];
rz(-0.4402) q[6];
rx(1.2304) 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": []} |
db7bdfb6ee94a36848a9fd983ceba634 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [1, 65], "expectation_value": -10.953761278791186, "params": [0.0028, 0.2546, 0.39530000000000004, 0.005, 0.004, 0.3058, 0.0028, 0.2386, 0.0031000000000000003, 0.3064, 0.005, 0.2836, 0.0044, 0.2731, 0.40080000000000005, 0.0028, 0.002, 0.29200000000000004, 0.3956, 0.005, -0.0008, 0.3052, 0.0025, 0.27030000000... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.2546) q[0];
rx(0.3953) q[1];
rz(0.005) q[1];
rx(0.004) q[2];
rz(0.3058) q[2];
rx(0.0028) q[3];
rz(0.2386) q[3];
rx(0.0031) q[4];
rz(0.3064) q[4];
rx(0.005) q[5];
rz(0.2836) q[5];
rx(0.0044) q[6];
rz(0.2731) q[6];
rx(0.4008) q[7];
rz(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
6188528287626050567 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [2, 3, 4], [1, 3], [1, 2]]} | {"states": [25, 22], "expectation_value": -0.043661851383734115, "params": [[0.0766], [-0.0848]], "bitstrings": ["00110", "01001"], "total_optimization_steps": 10, "probabilities": [0.03340058584229427, 0.03367980453996343], "optimization_time": 1.5096373558044434} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.33333333333333326 * Z(3) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(4) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01001"]} | 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[3], q[0];
rz(0.0255) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0511) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0255) q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.0255) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0255) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0... | null | {"circuits": [], "gradients": []} |
4f9c1bb9cc86662913da6ad2a3367139 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 1019], "expectation_value": -19.5133145681381, "params": [[[-0.0023, 2.6985], [-0.0024000000000000002, -0.0023], [-0.0035, -0.0029000000000000002], [0.002, -0.0024000000000000002], [-0.0031000000000000003, -0.0024000000000000002], [-0.0027, -0.0028], [-0.10830000000000001, -1.1059], [-1.6205, -0.2644]... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0023) q[0];
ry(-0.0024) q[1];
ry(-0.0035) q[2];
ry(0.002) q[3];
ry(-0.0031) q[4];
ry(-0.0027) q[5];
ry(-0.1083) q[6];
ry(-1.6205) q[7];
ry(-0.0029) q[8];
ry(-0.0022) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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] ... | {"node": 5} | {"circuits": [], "gradients": []} |
b870bf177a3da6a6ab4722ca2196f1d4 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [34, 42], "expectation_value": -4.539152530515959, "params": [0.1973, -0.0834, 0.1986, -0.0813, 0.19690000000000002, -0.0627, 0.195, -0.035500000000000004, -0.0061, 0.11, 0.0029000000000000002, 0.109, 0.19690000000000002, -0.0616, 0.1952, -0.0366, -0.006900000000000001, 0.1184, -0.0064, 0.1111, 0.201, -0.061... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 5 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1973) q[0];
rz(-0.0834) q[0];
rx(0.1969) q[1];
rz(-0.0627) q[1];
rx(-0.0061) q[2];
rz(0.11) q[2];
rx(0.1969) q[3];
rz(-0.0616) q[3];
rx(-0.0069) q[4];
rz(0.1184) q[4];
rx(0.201) q[5];
rz(-0.0617) q[5];
rx(0.0006) q[6];
rz(0.1101) q[6];
crz(-0.1016) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
3928188676e428b6c75c7255e5b5e044 | 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": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -0.7876753421997468, "params": [[0.066], [-0.0596]], "bitstrings": ["111101110", "101100110"], "total_optimization_steps": 10, "probabilities": [0.002675351769519489, 0.0026794861516912702], "optimization_time": 2.8722124099731445} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.099) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.099) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.132) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(-0.033) q[7];
cx q[3], 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] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [56295, 57015], "expectation_value": -14.368925287490402, "params": [[0.1396, 0.34650000000000003, 0.7006, 0.8226], [-0.5374, -0.2797, -0.2141, -0.125]], "bitstrings": ["0010010000011000", "0010000101001000"], "total_optimization_steps": 190, "probabilities": [0.01336474303529137, 0.013364743035291376], "opt... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999936, "smallest_bitstrings": ["0010000101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[3], q[1];
rz(0.1396) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.1396) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.1396) 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] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [2, 3], "expectation_value": -3.732712808157847, "params": [[[0.1925, -0.1937], [0.3002, -0.16], [0.3065, -0.1479], [0.5968, 0.0024000000000000002], [0.5857, 0.0018000000000000002]], [[0.1918, -0.1938], [0.305, -0.16], [0.30920000000000003, -0.1479], [0.5953, 0.0024000000000000002], [0.5913, 0.0019]], [[0.19... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1925) q[0];
rz(-0.1937) q[0];
rx(0.3002) q[1];
rz(-0.16) q[1];
rx(0.3065) q[2];
rz(-0.1479) q[2];
rx(0.5968) q[3];
rz(0.0024) q[3];
rx(0.5857) q[4];
rz(0.0018) q[4];
rx(0.1918) q[0];
rz(-0.1938) q[0];
rx(0.305) q[1];
rz(-0.16) q[1];
rx(0.3092) q[2];
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": []} |
641715d728359ee981d7a3543c5c30a4 | 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": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capac... | {"states": [512, 511], "expectation_value": -0.08839517511851468, "params": [[0.04], [-0.0322]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001063742498820287, 0.0010690524044667036], "optimization_time": 2.9897172451019287} | -0.5 * (Z(0) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[8], q[0];
rz(-0.04) q[0];
cx q[8], q[0];
cx q[2], q[1];
rz(-0.06) q[1];
cx q[2], q[1];
cx q[8], q[5];
rz(-0.04) q[5];
cx q[8], q[5];
cx q[1], q[5];
rz(-0.1) q[5];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-6423939220827338176 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 2], [1, 6], [0, 5], [3, 6], [1, 3], [0, 4], [1, 5], [2, 3], [1, 4], [4, 5], [0, 1]]} | {"states": [83, 85], "expectation_value": -0.12207648648128244, "params": [[0.0748], [-0.0702]], "bitstrings": ["0101100", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008823640352598954, 0.008823640352598954], "optimization_time": 1.7057299613952637} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "1010011", "0101010", "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[3], q[0];
rz(0.0748) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0748) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.0748) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.0748) q[2];
cx q[3], q[2];
cx q[1], q[2];
r... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[3], q[2];
... | null | {"circuits": [], "gradients": []} |
96d3819ecbf0e5da50ec00a60723b600 | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [1023, 511], "expectation_value": -9.506434451238176, "params": [[[0.0024000000000000002, -0.0205], [-0.0011, 0.0023], [0.0046, 0.0021000000000000003], [0.0109, 0.0022], [0.002, 0.0022], [0.0054, 0.0023], [0.0064, 0.0023], [0.0033, 0.0021000000000000003], [-0.0006000000000000001, 0.005], [1.5777, 0.0057]], [... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0024) q[0];
ry(-0.0011) q[1];
ry(0.0046) q[2];
ry(0.0109) q[3];
ry(0.002) q[4];
ry(0.0054) q[5];
ry(0.0064) q[6];
ry(0.0033) q[7];
ry(-0.0006) q[8];
ry(1.5777) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -1.9418890706454426, "params": [[[0.9034000000000001, -0.0006000000000000001], [-0.0019, 0.6372], [0.9048, -0.0006000000000000001], [0.20950000000000002, 0.3466], [0.8412000000000001, -0.0029000000000000002], [0.19740000000000002, -0.342]], [[0.9094000000000001, 0.0041], [-0.00... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.9034) q[0];
rz(-0.0006) q[0];
rx(-0.0019) q[1];
rz(0.6372) q[1];
rx(0.9048) q[2];
rz(-0.0006) q[2];
rx(0.2095) q[3];
rz(0.3466) q[3];
rx(0.8412) q[4];
rz(-0.0029) q[4];
rx(0.1974) q[5];
rz(-0.342) q[5];
rx(0.9094) q[0];
rz(0.0041) q[0];
rx(-0.0019) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1663731948582611538 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [3, 4], [4, 5], [1, 3], [1, 5], [1, 2], [0, 4]]} | {"states": [13, 50], "expectation_value": -0.00933815909714418, "params": [[0.0304], [-0.022000000000000002]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.015834112310485277, 0.015834112310485277], "optimization_time": 0.4517848491668701} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101101", "001101", "100101", "110010", "010010", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0304) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0304) q[4];
cx q[0], q[4];
cx q[4], q[3];
rz(0.0304) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0304) q[5];
cx q[4], q[5];
cx q[2], q[1];
rz(0.0304... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.888112783432007} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[1], q[2];
cry(0.1188) q[2], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[2], q[3];
cry(0.0072) q[0], q[2];
cry(0.0067) q[1], q[0];
cry(0.0067) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
1c94d11683f581a2317745c654c36244 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 9}, {"weight": 11, "source": 0, "target": 7}, {"weight":... | {"states": [1000, 488], "expectation_value": -89.84636232681017, "params": [1.0119, 0.2992, 1.0215, 0.0019, 1.3008, 0.059300000000000005, 1.3, 0.008700000000000001, 1.3052000000000001, 0.0625, 1.2994, 0.0083, 1.2946, 0.0794, 1.2981, 0.0018000000000000002, 1.3052000000000001, 0.07930000000000001, 1.3011000000000001, 0.0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0119) q[0];
rz(0.2992) q[0];
rx(1.3008) q[1];
rz(0.0593) q[1];
rx(1.3052) q[2];
rz(0.0625) q[2];
rx(1.2946) q[3];
rz(0.0794) q[3];
rx(1.3052) q[4];
rz(0.0793) q[4];
rx(-0.0032) q[5];
rz(0.6573) q[5];
rx(1.3106) q[6];
rz(0.1187) q[6];
rx(-0.0024) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
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