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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-3952313816946169383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 5], [0, 1, 2, 4, 6, 8, 9], [1, 2, 4, 5, 6, 8, 9], [2, 3, 5, 6, 7, 9], [0, 1, 2, 3, 6, 7, 8], [0, 2, 4, 7, 8, 9]]} | {"states": [1023, 956], "expectation_value": 0.3330763829663073, "params": [0.7068, -0.0024000000000000002, 0.7012, 0.0045000000000000005, 0.6998000000000001, -0.0025, 0.6987, 0.0053, 0.6948000000000001, 0.003, 0.6949000000000001, 0.0098, 0.7040000000000001, 0.0016, 0.6969000000000001, 0.0027, 0.7069000000000001, 0.002... | 0.13095238095238093 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.07142857142857142 * (Z(2) @ Z(1)) + 0.08095238095238094 * (Z(2) @ Z(0)) + 0.05714285714285... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.2214285714285713, -1.2214285714285713, -1.2214285714285713], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.1880952380952383, "smallest_bitstrings": ["0001000011", "0011100000", "0100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7068) q[0];
rz(-0.0024) q[0];
rx(0.6998) q[1];
rz(-0.0025) q[1];
rx(0.6948) q[2];
rz(0.003) q[2];
rx(0.704) q[3];
rz(0.0016) q[3];
rx(0.7069) q[4];
rz(0.0025) q[4];
rx(0.7006) q[5];
rz(-0.0031) q[5];
rx(0.7036) q[6];
rz(0.0028) q[6];
rx(0.7036) 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": []} |
6901915ed5d336631039214c5656376a | 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": [686, 678], "expectation_value": -57.26936954539915, "params": [1.4101000000000001, 0.0005, 2.2107, 0.0, 1.2666000000000002, 0.0061, 2.1973000000000003, 0.0088, 1.4448, 0.0097, 2.2051000000000003, 0.003, 0.0031000000000000003, 0.009300000000000001, 1.5397, 0.0027, 2.21, 0.0037, 2.1943, 0.0025, -0.00310000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(8)) + 3.0 * Z(0) + 16.0 * Z(1) + 2.0 * Z(2) + 10.0 * Z(3) + 3... | 18 | 11 | 1 | {"smallest_eigenvalues": [-119.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["10101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4101) q[0];
rz(0.0005) q[0];
rx(2.2107) q[1];
rz(0) q[1];
rx(1.2666) q[2];
rz(0.0061) q[2];
rx(2.1973) q[3];
rz(0.0088) q[3];
rx(1.4448) q[4];
rz(0.0097) q[4];
rx(2.2051) q[5];
rz(0.003) q[5];
rx(0.0031) q[6];
rz(0.0093) q[6];
rx(1.5397) q[7];
rz(0.0027... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
c50296516e252b9c1e070b9a76835378 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 31], "expectation_value": -19.815397779232995, "params": [-0.0048000000000000004, 1.8052000000000001, 0.0033, 0.0053, 0.0015, -1.9791, -0.0089, 0.0049, 0.5105000000000001, -0.0056, 0.7657, 0.0082, -0.0041, 1.5867, 0.0018000000000000002, 0.0067, -0.0018000000000000002, 1.5419, 0.0017000000000000001, 0.009... | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + 0.5 ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["11111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0048) q[0];
rz(1.8052) q[0];
rx(0.0015) q[1];
rz(-1.9791) q[1];
rx(0.5105) q[2];
rz(-0.0056) q[2];
rx(-0.0041) q[3];
rz(1.5867) q[3];
rx(-0.0018) q[4];
rz(1.5419) q[4];
rx(0.0035) q[5];
rz(1.4394) q[5];
rx(-0.9979) q[6];
rz(1.7834) q[6];
rx(-0.9171) 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[... | {"node": 3} | {"circuits": [], "gradients": []} |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [0, 111], "expectation_value": -3.1566330364761956, "params": [-0.2823, 0.060700000000000004, -0.23240000000000002, 0.35650000000000004, -0.2863, 0.0526, -0.2363, 0.4077, -0.2464, 0.10690000000000001, -0.2082, 0.3078, -0.2958, 0.1044, -0.24080000000000001, 0.41400000000000003, -0.2968, 0.14750000000000002, -... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 6 | 7 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.2823) q[0];
rz(0.0607) q[0];
rx(-0.2863) q[1];
rz(0.0526) q[1];
rx(-0.2464) q[2];
rz(0.1069) q[2];
rx(-0.2958) q[3];
rz(0.1044) q[3];
rx(-0.2968) q[4];
rz(0.1475) q[4];
rx(-0.3039) q[5];
rz(0.3358) q[5];
rx(-0.3035) q[6];
rz(0.366) q[6];
crx(0.4384) 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... | {"node": 3} | {"circuits": [], "gradients": []} |
1836f56c6aacade8d2873047a951421e | 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": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -20.73760727431903, "params": [[-0.033, -0.0236, 0.0079, 0.0664], [0.0567, 0.060700000000000004, 0.045700000000000005, -0.0194]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008504863729952784, 0.011258085273286242], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "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(-0.297) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.297) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.297) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.297) 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] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
3158514289806292365 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [1, 5], [0, 3, 5], [0, 2, 3, 4], [1, 2, 3, 4], [2, 3, 5], [0, 1, 3, 4]]} | {"states": [52, 43], "expectation_value": -0.047760652132141194, "params": [[0.0661], [-0.050800000000000005]], "bitstrings": ["001011", "010100"], "total_optimization_steps": 10, "probabilities": [0.016275501588345214, 0.016349869495766757], "optimization_time": 1.9171874523162842} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.916666666666667, "smallest_bitstrings": ["010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0331) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0331) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0331) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0661) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.022)... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
bd4c1476c3aa7cafea7811e124c4791d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.2339636647005445, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 115.57990837097168} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "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[1];
cry(1.5706) q[1], q[5];
cry(1.5626) q[4], q[3];
cry(1.5626) q[1], q[2];
cry(1.5486) q[4], q[7];
cry(0.8742) q[7], q[4];
cry(0.3966) q[7], q[3];
cry(-1.4585) q[7], q[0];
cry(1.3239... | 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[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[... |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 133.76994252204895} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(6.6475) q[4];
ry(63.0918) q[7];
ry(4.3338) q[6];
cry(32.9752) q[4], q[7];
cry(-2.9224) q[7], q[4];
cry(28.3989) q[7], q[2];
cry(0.0014) q[2], q[4];
cry(0.7192) q[5], q[4];
cry... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) 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... |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 158.06605219841003} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.2475) q[5];
cry(0.9944) q[8], q[5];
cry(0.7253) q[7], q[5];
ry(1.5708) q[6];
cry(-0.1535) q[6], q[5];
ry(1.5703) q[4];
ry(1.3592) q[8];
cry(0.4856) q[4], q[5];
ry(1.4037) q[7];
cry(1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.2475) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
807a63e492ab5ccd6fcf63229c2e7564 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target":... | {"states": [511, 508], "expectation_value": -0.11718952782994688, "params": [[-0.0236], [0.0134]], "bitstrings": ["000000000", "000000011"], "total_optimization_steps": 10, "probabilities": [0.0020306842463921446, 0.0020306842463921454], "optimization_time": 1.1418161392211914} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0944) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.1416) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.118) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(0.0944) q[2];
cx q[1], q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x0) q[0];
... | {"node": 7} | {"circuits": [], "gradients": []} |
a99f86c3cb9c5f9afbf3a51c1f63c621 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [477, 511], "expectation_value": -6.9541874064609726, "params": null, "bitstrings": ["1000100010", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.26992077449599866, 0.41179609845945153], "optimization_time": 299.4011158943176} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.4894) q[8];
ry(1.5708) q[5];
ry(1.5708) q[4];
cry(1.5708) q[4], q[6];
ry(1.5709) q[2];
ry(1.5708) q[1];
cry(1.5708) q[2], q[3];
cry(1.5708) q[8], q[9];
cry(1.5706) q[4], q[7... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.4894) 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]... |
a8ba1a0f593c8b4eafc04194925ea252 | 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": [455, 327], "expectation_value": -98.30527845971999, "params": [0.0021000000000000003, 0.0043, 0.5258, 0.5305, 0.17930000000000001, 0.17700000000000002, 0.5118, 0.5057, -0.0017000000000000001, -0.0011, 0.0026000000000000003, 0.0043, 0.027, 0.0005, 0.5141, 0.5201, 0.386, 0.3885, 0.4787, 0.4864, -0.002, 0.0006... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(2) + 12.0 * Z(1) + 23.0 * Z(3) + 2.0 * Z(4) + 1... | 14 | 10 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0021) q[0];
ry(0.5258) q[1];
ry(0.1793) q[2];
ry(0.5118) q[3];
ry(-0.0017) q[4];
ry(0.0026) q[5];
ry(0.027) q[6];
ry(0.5141) q[7];
ry(0.386) q[8];
ry(0.4787) q[9];
crx(-0.0009) q[9], q[0];
crx(-0.1478) q[8], q[9];
crx(-0.0785) q[7], q[8];
crx(0.5682) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
6abfcea40fcfb2aee6e60541a981751a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 36.15629482269287} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000000", "10100100", "10000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.4449) q[6], q[1];
cry(-1.0342) q[7], q[0];
ry(1.0342) q[4];
ry(1.0342) q[3];
cry(0.9791) q[1], q[6];
cry(0.9021) q[6], q[7];
ry(-0.7014) q[0];
ry(-1.0342) q[5];
cry(0.4645) q[6], q[4];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.4449) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 19.689011812210083} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[3];
cry(-0.3789) q[0], q[1];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.370027780532837} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"]} | 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[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
ry(0.7003) q[0];
ry(-0.4549) q[1];
cry(-0.2376) q[1], q[0];
cry(-0.0027) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]... | 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[2];\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];\... |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 9.181733131408691} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
cry(-1.5681) q[4], q[0];
ry(1.111) q[4];
ry(-0.4823) q[0];
ry(-1.5486) q[2];
ry(-1.5628) q[1];
cry(-0.2079) q[0], q[4];
cry(-0.0222) q[4], q[2];
cry(-0.0079) q[4], q[1];
cry(-0.0161) q[0], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.4675682123895062, "params": [[-0.0388, -0.0658, -0.0687], [0.0219, 0.06620000000000001, 0.069]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.0403138301221794, 0.044837546200240476], "optimization_time": 3.2552270889282227} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | 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(-0.0388) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0388) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0388) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0388) 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": []} |
3bd6f29363a868a92edc437196fa5119 | 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": [691, 690], "expectation_value": -68.65194736667414, "params": [0.004200000000000001, 0.5285000000000001, 0.8095, 0.006500000000000001, 0.0109, 0.6196, 0.8001, 0.01, 0.32930000000000004, 0.34, 0.7947000000000001, 0.1733, 0.7959, -0.0425, 0.5148, -0.39630000000000004, 0.375, 0.278, 0.7979, 0.18050000000000002... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + -3.0 * Z(2) + 1.5 * Z(1) + 17.0 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 4.5 * Z(... | 16 | 11 | 3 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0042) q[0];
rz(0.5285) q[0];
rx(0.8095) q[1];
rz(0.0065) q[1];
rx(0.0109) q[2];
rz(0.6196) q[2];
rx(0.8001) q[3];
rz(0.01) q[3];
rx(0.3293) q[4];
rz(0.34) q[4];
rx(0.7947) q[5];
rz(0.1733) q[5];
rx(0.7959) q[6];
rz(-0.0425) q[6];
rx(0.5148) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
bb8d6cb75ebb85af27b654dfabc43af9 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [1245, 1181], "expectation_value": -2.431374310104258, "params": [[[2.1376, 0.0017000000000000001], [0.9969, 0.0053], [0.0027, 0.0014], [2.2118, 0.0051], [1.5292000000000001, 0.0053], [0.6771, 0.0017000000000000001], [2.2118, 0.0059], [2.2032000000000003, 0.0059], [2.2004, 0.0018000000000000002], [0.0023, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(3) @ Z(4) @ Z(5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0625, "smallest_bitstrings": ["10100101010", "01101000110", "10100100011", "01100100011", "01101100010", "10101100010", "10101000110", "01100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.1376) q[0];
rz(0.0017) q[0];
rx(0.9969) q[1];
rz(0.0053) q[1];
rx(0.0027) q[2];
rz(0.0014) q[2];
rx(2.2118) q[3];
rz(0.0051) q[3];
rx(1.5292) q[4];
rz(0.0053) q[4];
rx(0.6771) q[5];
rz(0.0017) q[5];
rx(2.2118) q[6];
rz(0.0059) q[6];
rx(2.2032) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
1596635416752629453 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 7, 8, 9, 10, 11], [0, 6, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [0, 4, 5, 9, 10, 11], [1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [2, 3, 4, 5, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 10, 11], [0, 1, 2, 5, 8, 10], [1, 2, 3, 4, 5, 8, 9, 10, 11], [2, 3,... | {"states": [3421, 3423], "expectation_value": -2.4701739397648073, "params": [[[2.5006, 0.0054, 0.006, 0.0095], [0.0026000000000000003, -0.1836, 1.5679, 0.0067], [1.2035, 0.0039000000000000003, 0.0033, 0.0021000000000000003], [0.5516, -0.0004, 1.1986, 0.009300000000000001], [1.0767, 0.0057, 0.0023, 0.0022], [-0.0032, -... | 0.1011904761904762 * (Z(0) @ Z(4)) + 0.1234126984126984 * (Z(5) @ Z(4)) + 0.07777777777777778 * (Z(5) @ Z(0)) + 0.09563492063492064 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(0)) + 0.11666666666666668 * (Z(6) @ Z(5)) + 0.11230158730158728 * (Z(9) @ Z(4)) + 0.03888888888888889 * (Z(9) @ Z(0)) + 0.09166666666666666 * (Z(9) @ Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.8099206349206347], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7920634920634915, "smallest_bitstrings": ["001010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(2.5006) q[0];
rz(0.0054) q[0];
ry(0.0026) q[1];
rz(-0.1836) q[1];
ry(1.2035) q[2];
rz(0.0039) q[2];
ry(0.5516) q[3];
rz(-0.0004) q[3];
ry(1.0767) q[4];
rz(0.0057) q[4];
ry(-0.0032) q[5];
rz(-0.3171) q[5];
ry(0.0864) q[6];
rz(0.0063) q[6];
ry(0.9024) 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": []} |
-1568414197010374111 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 6, 7], [0, 1, 3, 6, 8, 9], [11, 4, 5], [8, 0, 2], [0, 9, 2], [0, 5, 7, 9, 10], [8, 10, 5, 7], [5, 6, 9, 11, 12], [4, 5, 6], [0, 3, 5, 6, 9, 11], [0, 3, 6, 8, 9, 10], [1, 5], [0, 10, 12, 6], [9, 2, 7], [1, 4, 8, 9, 11], [8, 1, 4, 7], [2, 11, 6], [3... | {"states": [4858, 4859], "expectation_value": -5.949006051620269, "params": [1.5685, 1.5705, 0.0024000000000000002, 0.0024000000000000002, 0.0024000000000000002, 0.0024000000000000002, 2.096, 1.0376, 1.9531, 2.9512, 1.5753000000000001, 1.5693000000000001, 1.5734000000000001, 1.5736, 1.3188, 1.8181, 1.7983, 1.3374000000... | 0.5166666666666666 * (Z(0) @ Z(6)) + 0.19999999999999998 * (Z(7) @ Z(6)) + 0.31666666666666665 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(7)) + 0.3 * (Z(3) @ Z(6)) + 0.15000000000000002 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(7... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.066666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.033333333333333, "smallest_bitstrings": ["0110100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5685) q[0];
ry(0.0024) q[1];
ry(0.0024) q[2];
ry(2.096) q[3];
ry(1.9531) q[4];
ry(1.5753) q[5];
ry(1.5734) q[6];
ry(1.3188) q[7];
ry(1.7983) q[8];
ry(1.6329) q[9];
ry(0.0823) q[10];
ry(2.0426) q[11];
ry(0.9617) q[12];
crx(0.0923) q[12], q[0];
crx(0.7858... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
2977216891913013939 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5], [0, 2], [1, 10], [11, 7], [2, 3], [2, 10], [8, 10], [11, 5], [8, 0], [8, 1], [5, 7], [9, 4], [9, 3], [3, 5], [11, 3], [2, 6], [10, 11], [9, 10], [5, 6]]} | {"states": [717, 589], "expectation_value": -3.3278793255670083, "params": [[[1.5271000000000001, 0.0012000000000000001], [-0.7034, 1.2359], [2.0086, 1.3747], [-0.0085, 1.1316000000000002], [-1.566, 1.5744], [0.6757000000000001, 1.576], [2.1071, 0.1144], [2.1079, -0.0952], [0.0765, 0.0284], [0.1008, 0.1826], [-0.3064, ... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["110110110010", "001001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5271) q[0];
ry(-0.7034) q[1];
ry(2.0086) q[2];
ry(-0.0085) q[3];
ry(-1.566) q[4];
ry(0.6757) q[5];
ry(2.1071) q[6];
ry(2.1079) q[7];
ry(0.0765) q[8];
ry(0.1008) q[9];
ry(-0.3064) q[10];
ry(1.4574) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ca80a1081391714ec98f68c48872633f | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 27.449513912200928} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "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(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
ry(-1.5158) q[3];
cry(-1.4449) q[6], q[0];
ry(1.0405) q[6];
ry(-0.4775) q[0];
ry(-1.2998) q[5];
ry(-1.564) q[1];
cry(0.3486) q[2], q[6];
cry(-0.2706) q[6], ... | 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(1.5626) q[4], 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]... |
35ceaf2acc1635ca8c652a3a1fed479f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [511, 2047], "expectation_value": -14.81077658732332, "params": null, "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.09047799405670175, 0.4132298470750626], "optimization_time": 262.8068253993988} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[9], q[8];
ry(1.0383) q[9];
cry(1.5708) q[8], q[10];
cry(1.5708) q[10], q[7];
cry(-0.8298) q[10], q[8];
cry(-0.0145) q[7], q[8];
ry(-0.0897) q[8];
cry(1.304... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[9], 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[... |
e50f1de34172387f4afee29bd6bf3fd2 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.683863519279218, "params": [-0.0057, -0.24500000000000002, 0.0014, -0.2336, 0.0012000000000000001, -0.2787, 0.0032, -0.2844, 0.0031000000000000003, -0.28350000000000003, 0.0046, -0.2916, 0.0053, -0.28300000000000003, -0.0012000000000000001, -0.2722, 0.0818, 0.0969, 0.303, -0.... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0057) q[0];
rz(-0.245) q[0];
rx(0.0012) q[1];
rz(-0.2787) q[1];
rx(0.0031) q[2];
rz(-0.2835) q[2];
rx(0.0053) q[3];
rz(-0.283) q[3];
rx(0.0818) q[4];
rz(0.0969) q[4];
rx(0.0026) q[5];
rz(-0.2876) q[5];
rx(0.0084) q[6];
rz(0.1236) q[6];
rx(0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-1756150488099078676 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 8, 6], [8, 5], [3, 5], [8, 1], [0, 1], [3, 6, 7], [0, 4, 7], [8, 2, 4], [1, 5, 7], [1, 3]]} | {"states": [307, 355], "expectation_value": -4.259133524449256, "params": null, "bitstrings": ["011001100", "010011100"], "total_optimization_steps": 53, "probabilities": [0.03360671157374983, 0.9454862518189379], "optimization_time": 100.18730640411377} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["010011100"]} | 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(1.4449) q[7];
ry(1.2292) q[8];
cry(-1.4317) q[8], q[5];
ry(1.4382) q[0];
cry(-1.5564) q[0], q[1];
ry(1.5675) q[3];
cry(-1.2048) q[8], q[6];
cry(0.1983) q[3], q[8];
cry(-0.1602) q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4449) 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] = m... |
-8622037952354320898 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 4], [12, 4], [9, 11], [0, 2], [1, 12], [9, 2], [2, 6], [3, 4], [3, 11], [3, 12], [8, 2], [1, 6], [9, 6], [1, 3], [10, 6], [10, 12], [11, 7], [8, 4], [9, 1], [4, 5], [4, 6], [0, 7], [8, 12], [10, 7], [2, 7], [11, 12], [10, 4], [8, 6], [8, 1], [9, ... | {"states": [2809, 761], "expectation_value": -4.280507209659822, "params": [[[0.27640000000000003, 0.0086, 0.0078000000000000005, 0.006], [1.5914000000000001, 0.5222, 1.6006, 0.0005], [0.4879, 0.008400000000000001, 0.0055000000000000005, 0.0012000000000000001], [0.07980000000000001, 0.0039000000000000003, 1.53700000000... | 0.5 * (Z(11) @ Z(4)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110100000110", "0001011111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.2764) q[0];
rz(0.0086) q[0];
ry(1.5914) q[1];
rz(0.5222) q[1];
ry(0.4879) q[2];
rz(0.0084) q[2];
ry(0.0798) q[3];
rz(0.0039) q[3];
ry(-0.006) q[4];
rz(0.0058) q[4];
ry(1.5637) q[5];
rz(0.0024) q[5];
ry(1.8834) q[6];
rz(0.0018) q[6];
ry(0.0842) 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": []} |
e8914684215a366a762541bf17b0884e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "ta... | {"states": [115, 113], "expectation_value": -6.29048572637745, "params": [0.0029000000000000002, 0.1943, -0.0017000000000000001, 0.1903, 0.30460000000000004, 0.0304, 0.307, 0.0049, 0.26890000000000003, 0.002, 0.26980000000000004, 0.0029000000000000002, 0.2978, 0.00030000000000000003, 0.3039, -0.0008, -0.000600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["10110100", "10001110", "10101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0029) q[0];
rz(0.1943) q[0];
rx(0.3046) q[1];
rz(0.0304) q[1];
rx(0.2689) q[2];
rz(0.002) q[2];
rx(0.2978) q[3];
rz(0.0003) q[3];
rx(-0.0006) q[4];
rz(0.1821) q[4];
rx(0.002) q[5];
rz(0.1861) q[5];
rx(0.1239) q[6];
rz(0.0887) q[6];
rx(0.3024) 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] 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": []} |
8001768301817175407 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 5, 6], [0, 2, 3, 5], [9, 5], [8, 2, 6, 7], [0, 6, 7], [8, 1, 5], [1, 7], [1, 4, 5]]} | {"states": [758, 694], "expectation_value": -2.149268349945153, "params": [1.1974, 0.08030000000000001, 1.201, 0.0044, 0.5155000000000001, -0.0847, 0.3745, 0.0063, 1.2008, -0.0432, 1.076, 0.0017000000000000001, 1.2006000000000001, -0.1685, 1.0373, 0.0053, 1.1999, 0.0685, 1.2011, 0.0089, 1.1983000000000001, 0.0769000000... | 0.3333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.083333333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.750000000000001, "smallest_bitstrings": ["0000010100", "0101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1974) q[0];
rz(0.0803) q[0];
rx(0.5155) q[1];
rz(-0.0847) q[1];
rx(1.2008) q[2];
rz(-0.0432) q[2];
rx(1.2006) q[3];
rz(-0.1685) q[3];
rx(1.1999) q[4];
rz(0.0685) q[4];
rx(1.1983) q[5];
rz(0.0769) q[5];
rx(0.9467) q[6];
rz(-0.2302) q[6];
rx(1.193) 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": []} |
e2d42d54466cad0e47a576fec07e2be9 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [22, 86], "expectation_value": -2.8959272628503197, "params": [0.5995, 0.0016, -0.0038, 0.3658, 0.6072000000000001, 0.1584, -0.0177, 0.3386, 0.6024, 0.1715, 0.6066, 0.008, 0.1602, 0.35660000000000003, 0.5998, 0.0004, -0.0057, 0.3871, 0.6079, 0.1888, -0.0183, 0.3622, 0.5988, 0.19190000000000002, 0.6038, 0.022... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5995) q[0];
rz(0.0016) q[0];
rx(-0.0038) q[1];
rz(0.3658) q[1];
rx(0.6072) q[2];
rz(0.1584) q[2];
rx(-0.0177) q[3];
rz(0.3386) q[3];
rx(0.6024) q[4];
rz(0.1715) q[4];
rx(0.6066) q[5];
rz(0.008) q[5];
rx(0.1602) q[6];
rz(0.3566) q[6];
crz(0.3651) 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": []} |
-4450188244082697685 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 5, 7], [3, 5, 7], [8, 3, 6, 7], [0, 2, 4, 5], [0, 2, 3, 7], [0, 1, 4], [0, 1, 8, 7], [8, 3, 4, 7], [8, 3, 5], [0, 8, 4, 5], [8, 2, 3], [1, 2, 6, 7], [8, 0, 3], [5, 6], [0, 1, 2, 5], [8, 1, 5]]} | {"states": [335, 347], "expectation_value": -4.3217534414564245, "params": null, "bitstrings": ["010110000", "010100100"], "total_optimization_steps": 62, "probabilities": [0.11683057408323111, 0.7952432058130384], "optimization_time": 174.63800573349} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666669, "smallest_bitstrings": ["010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5703) q[8];
ry(1.5298) q[7];
ry(1.4075) q[0];
cry(-1.1832) q[5], q[3];
cry(-1.0323) q[6], q[4];
ry(0.9328) q[5];
cry(-0.7027) q[7], q[3];
cry(0.4849) q[8], q[5];
cry(-0.9883) q[5], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5703) q[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... |
8ffda6628c0a17abdc2816e868c093a7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [618, 626], "expectation_value": -79.47121869792461, "params": [0.7707, 0.7827000000000001, -0.0007, -0.0039000000000000003, 0.0106, 0.0454, 0.8161, 0.771, 0.8321000000000001, 0.7558, -0.9189, -0.3874, 0.2738, 1.0615, 0.0, 0.0122, 0.7843, 0.7949, 0.0436, 0.065, 0.7875000000000001, 0.8098000000000001, 0.001, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(9) @ Z(8)) + -1.5 * Z(0) + -4.5 * Z(1) + 9.5 * Z(3) + -6.5 * Z(2) + 5.5 * Z(5) + 17.0 * Z(4) + 10.0 * Z(6) + 8.0 * Z(8) + -2.0 * Z(9) + -12.0 * Z(7) | 14 | 10 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0110001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7707) q[0];
ry(-0.0007) q[1];
ry(0.0106) q[2];
ry(0.8161) q[3];
ry(0.8321) q[4];
ry(-0.9189) q[5];
ry(0.2738) q[6];
ry(0) q[7];
ry(0.7843) q[8];
ry(0.0436) q[9];
crx(0.6943) q[9], q[0];
crx(0.264) q[8], q[9];
crx(1.2212) q[7], q[8];
crx(0.0207) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fb3661142d8e003905bb73659b60c8ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1386, 1387], "expectation_value": -3.0953244477281, "params": [[[0.16140000000000002, -0.0611, 0.0023, 0.0073], [0.021500000000000002, 0.0441, 1.5645, 0.0002], [0.4985, -0.5681, 1.3349, -0.2144], [-0.0094, -0.313, 0.896, 0.055], [0.09190000000000001, -0.0024000000000000002, -0.09620000000000001, -0.2003], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010100", "10100010001", "01100010001", "01011000001", "01011000100", "01100100100... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1614) q[0];
rz(-0.0611) q[0];
ry(0.0215) q[1];
rz(0.0441) q[1];
ry(0.4985) q[2];
rz(-0.5681) q[2];
ry(-0.0094) q[3];
rz(-0.313) q[3];
ry(0.0919) q[4];
rz(-0.0024) q[4];
ry(0.003) q[5];
rz(-0.3318) q[5];
ry(1.5736) q[6];
rz(0.0022) q[6];
ry(0.3594) 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": []} |
533fcd480a5175680493f52fe07173d6 | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 44.75901436805725} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5709) q[2];
cry(1.5708) q[2], q[5];
cry(1.5708) q[2], q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
cry(-1.5708) q[7], q[6];
ry(-1.4449) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[2], q[3];
cry(-0.11... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[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[... |
d2afe27b0de0de0693309013bd4cb7f6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [15, 13], "expectation_value": -2.0017423329220776, "params": [[[0.1486, 0.009600000000000001], [0.14500000000000002, 0.0071], [1.2622, 0.0073], [1.5876000000000001, 0.0021000000000000003], [1.5979, 0.0081], [1.5698, 0.0067], [1.6035000000000001, 0.0017000000000000001]]], "bitstrings": ["1110000", "1110010"]... | 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", "1110010", "1101100", "1100110", "1111000", "1010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1486) q[0];
rz(0.0096) q[0];
rx(0.145) q[1];
rz(0.0071) q[1];
rx(1.2622) q[2];
rz(0.0073) q[2];
rx(1.5876) q[3];
rz(0.0021) q[3];
rx(1.5979) q[4];
rz(0.0081) q[4];
rx(1.5698) q[5];
rz(0.0067) q[5];
rx(1.6035) q[6];
rz(0.0017) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
ca80a1081391714ec98f68c48872633f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -1.5116754994098947, "params": [[-0.0626, -0.0509, -0.0709, -0.053500000000000006], [0.0786, 0.06280000000000001, 0.0741, 0.0692]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022602825356039323, 0.02380033531001647], "optimization_t... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0313) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0626) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0939) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(0.0313) q[5];
cx q[2], q[5];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 27.047114372253418} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4384) q[3];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[3], q[1];
cry(0.1248) q[0], q[2];
cry(0.1244) q[2], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
a4f7d93f5ed996b37075df46e118b7f5 | 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": 4, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 18, "source": 1, "target": 2}, {"weight": 9, "source... | {"states": [250, 218], "expectation_value": -69.95660543821215, "params": [0.0188, 0.1708, 0.0429, 0.18760000000000002, 0.338, 0.0821, 0.342, 0.0494, 0.36250000000000004, 0.0828, 0.3457, 0.06670000000000001, 0.3945, 0.006200000000000001, 0.39380000000000004, -0.0632, 0.3426, 0.0675, 0.3332, 0.048100000000000004, 0.3337... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 2.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(3) + 13... | 6 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0188) q[0];
rz(0.1708) q[0];
rx(0.338) q[1];
rz(0.0821) q[1];
rx(0.3625) q[2];
rz(0.0828) q[2];
rx(0.3945) q[3];
rz(0.0062) q[3];
rx(0.3426) q[4];
rz(0.0675) q[4];
rx(0.3337) q[5];
rz(0.0929) q[5];
rx(0.1056) q[6];
rz(0.1846) q[6];
rx(0.3076) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 9.367253303527832} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.4449) q[2];
cry(1.5481) q[2], q[1];
cry(-1.3016) q[4], q[0];
ry(1.0708) q[4];
ry(-0.6818) q[0];
cry(0.39) q[1], q[4];
cry(-0.1878) q[1], q[0];
cry(0.089) q[1], q[2];
cry(0.087) q[2], q[4];
cry(-0.0399) q[2], q[0];
r... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) 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] ... |
9e8a866d2c0011b6946d4c64e758f31c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [2712, 2713], "expectation_value": -1.2587151978479079, "params": [0.2904, 0.0089, 0.2869, 0.0029000000000000002, 0.14120000000000002, -0.0324, 0.139, -0.04, 0.2899, 0.0086, 0.29550000000000004, 0.0041, 0.10350000000000001, 0.0385, 0.1096, 0.042, 0.2959, -0.0047, 0.2884, -0.0053, 0.0988, 0.0737, 0.1039, 0.07... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 6 | 12 | 4 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["010101100110", "101010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2904) q[0];
rz(0.0089) q[0];
rx(0.1412) q[1];
rz(-0.0324) q[1];
rx(0.2899) q[2];
rz(0.0086) q[2];
rx(0.1035) q[3];
rz(0.0385) q[3];
rx(0.2959) q[4];
rz(-0.0047) q[4];
rx(0.0988) q[5];
rz(0.0737) q[5];
rx(0.1872) q[6];
rz(0.067) q[6];
rx(0.2869) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-4763176923323410830 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [0, 2], [1, 3], [3, 4], [2, 5], [8, 6]]} | {"states": [302, 414], "expectation_value": -2.587239903488695, "params": null, "bitstrings": ["011010001", "001100001"], "total_optimization_steps": 69, "probabilities": [0.046794676756780784, 0.5909791961485125], "optimization_time": 92.6468780040741} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100110", "110011001", "001100001", "011010001", "100101001", "110011110", "011010110", "100101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[7], q[8];
cry(-1.0342) q[5], q[2];
cry(-1.0342) q[4], q[3];
ry(0.7003) q[7];
cry(-0.7092) q[6], q[8];
cry(1.1516) q[7], q[6];
ry(0.7003) q[5];
cry(-0.7092) q[0], q[2];
cry(1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 28.545599222183228} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[6];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[5];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
cry(-0.1259) q[5], q[2];
ry(-0.4578) q[1];
cry(0.4969) q[3], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
600d50af407f0acc5a9b9d46f1136ef3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [26622, 26623], "expectation_value": -21.40851055537424, "params": [0.0021000000000000003, -0.4138, 2.7346, 0.006900000000000001, 0.0024000000000000002, 0.0091, 0.0018000000000000002, 0.8270000000000001, 0.0018000000000000002, -0.3008, 0.0033, 0.24760000000000001, -1.4456, 0.0015, 0.0032, 0.2639, -0.0005, -0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(13)) + 0.5 * (Z(14) @ Z(13)) + -1.5 * (Z(14) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3)... | 4 | 15 | 1 | {"smallest_eigenvalues": [-23.49999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.499999999999947, "smallest_bitstrings": ["001100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0021) q[0];
rz(-0.4138) q[0];
rx(2.7346) q[1];
rz(0.0069) q[1];
rx(0.0024) q[2];
rz(0.0091) q[2];
rx(0.0018) q[3];
rz(0.827) q[3];
rx(0.0018) q[4];
rz(-0.3008) q[4];
rx(0.0033) q[5];
rz(0.2476) q[5];
rx(-1.4456) q[6];
rz(0.0015) q[6];
rx(0.0032) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
b10e647670f759bc4f3dd1387515cbab | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.11229452045178266, "params": [[0.055400000000000005, -0.0625], [-0.0634, 0.046]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.016848801625524885, 0.016848801625524892], "optimization_time": 2.3019940853118896} | 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(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | 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(0.0554) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0554) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0554) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0554) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(0.0554... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [310, 374], "expectation_value": -2.93854142335928, "params": [1.5685, 0.3116, -0.0018000000000000002, 1.2231, 0.7853, 0.0054, 1.568, 0.0068000000000000005, 2.1304000000000003, -0.6643, 0.1291, -1.3579, 2.1776, -0.0006000000000000001, 1.53, -0.3269, 0.0023, -1.2632, 1.5694000000000001, 0.0089, -0.00260000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5685) q[0];
rz(0.3116) q[0];
rx(-0.0018) q[1];
rz(1.2231) q[1];
rx(0.7853) q[2];
rz(0.0054) q[2];
rx(1.568) q[3];
rz(0.0068) q[3];
rx(2.1304) q[4];
rz(-0.6643) q[4];
rx(0.1291) q[5];
rz(-1.3579) q[5];
rx(2.1776) q[6];
rz(-0.0006) q[6];
rx(1.53) 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": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [34, 12], "expectation_value": -3.5213734070969434, "params": [[-0.1469, -0.12510000000000002, 0.043300000000000005], [0.16440000000000002, 0.15280000000000002, 0.08320000000000001]], "bitstrings": ["1011101", "1110011"], "total_optimization_steps": 20, "probabilities": [0.0315403249517261, 0.032514551036489... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"]} | 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(-0.1469) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1469) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1469) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.1469) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
74f246475a204c7e4685beb9efae91eb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -34.94869728368255, "params": [0.0002, 0.14830000000000002, 0.0021000000000000003, 0.1413, 0.0073, 0.114, 0.0016, 0.1542, 0.0051, 0.08510000000000001, 0.0044, 0.09630000000000001, 0.20720000000000002, 0.004, 0.2003, 0.0017000000000000001, 0.0043, 0.16110000000000002, 0.001, 0.1... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1... | 7 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0002) q[0];
rz(0.1483) q[0];
rx(0.0073) q[1];
rz(0.114) q[1];
rx(0.0051) q[2];
rz(0.0851) q[2];
rx(0.2072) q[3];
rz(0.004) q[3];
rx(0.0043) q[4];
rz(0.1611) q[4];
rx(0.0028) q[5];
rz(0.1406) q[5];
rx(0.0051) q[6];
rz(0.1471) q[6];
rx(-0.001) 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d7d01055332214989e6d0d1158e981dc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [127, 63], "expectation_value": -12.050555987480344, "params": [[[-0.0034000000000000002, 0.015000000000000001], [0.0017000000000000001, 0.0026000000000000003], [0.0026000000000000003, -0.0025], [-0.0004, -0.0029000000000000002], [0.0023, -0.0029000000000000002], [-0.004, -0.0049], [1.6645, -0.00620000000000... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 15 | 7 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0034) q[0];
ry(0.0017) q[1];
ry(0.0026) q[2];
ry(-0.0004) q[3];
ry(0.0023) q[4];
ry(-0.004) q[5];
ry(1.6645) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.015) q[0];
ry(0.0026) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2999324906365478819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 4], [0, 4, 5], [9, 3], [1, 3, 5, 6], [2, 3, 5, 6, 8], [3, 4, 5, 7], [0, 9, 1, 7], [1, 2, 6, 7], [8, 9, 5, 7], [0, 3, 4], [8, 0], [2, 3, 7], [1, 4, 5], [8, 1, 9], [4, 5, 6, 7, 9], [8, 1, 6], [0, 1, 2, 3, 6]]} | {"states": [941, 366], "expectation_value": -1.867686147462386, "params": [[0.26880000000000004], [-0.25270000000000004]], "bitstrings": ["0001010010", "1010010001"], "total_optimization_steps": 30, "probabilities": [0.003445553642094988, 0.003547132187536348], "optimization_time": 4.146723747253418} | 0.13333333333333333 * (Z(8) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.21666666666666667 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.266666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1499999999999995, "smallest_bitstrings": ["1010010001"]} | 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[2], q[8];
rz(0.0717) q[8];
cx q[2], q[8];
cx q[2], q[3];
rz(0.1882) q[3];
cx q[2], q[3];
cx q[8], q[3];
rz(0.0717) q[3];
cx q[8], q[3];
cx q[2], q[4];
rz(0.0448) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [18, 17], "expectation_value": -2.5335153352679063, "params": [[-0.0466, -0.055600000000000004], [0.053200000000000004, 0.0663]], "bitstrings": ["01101", "01110"], "total_optimization_steps": 10, "probabilities": [0.04514414036056597, 0.045144140360566], "optimization_time": 2.335848331451416} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1631) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1631) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1631) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1631) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1864) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | {"k": 3} | {"circuits": [], "gradients": []} |
fa1aa02644db6485d126884facd8fbe5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [8, 24], "expectation_value": -3.047855060396702, "params": [[[0.0017000000000000001, 0.003], [0.40190000000000003, -0.0013000000000000002], [0.4077, 0.0026000000000000003], [0.0028, 0.0022], [0.0001, -0.0013000000000000002], [0.0035, 0.006900000000000001]], [[0.0015, 0.0043], [0.40340000000000004, 0.0031000... | 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(1) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) + -0.75 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -0.75 * Z(3) + -1.0 * Z(4) + -0.75 * Z(5) | 15 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0017) q[0];
ry(0.4019) q[1];
ry(0.4077) q[2];
ry(0.0028) q[3];
ry(0.0001) q[4];
ry(0.0035) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.003) q[0];
ry(-0.0013) q[1];
ry(0.0026) q[2];
ry(0.0022) 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[... | null | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -10.77541156376107, "params": [[0.046400000000000004], [-0.0714]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007449523816874054, 0.008400737780431662], "optimization_time": 2.6486988067626953} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "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(0.3248) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3248) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3248) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3248) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
93fcf3f0332217472ced3e3ddb601b23 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [189, 173], "expectation_value": -87.31039549397639, "params": [0.1278, 0.12090000000000001, 0.4959, 0.49350000000000005, 0.0659, 0.0524, 0.4892, 0.4929, 0.24300000000000002, 0.2146, 0.49410000000000004, 0.48760000000000003, 0.4859, 0.4808, 0.1849, 0.1746, 0.4922, 0.49360000000000004, 0.1013, 0.1, 0.4944, 0.... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(8)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 13.5 * Z(1) + 2.0 * Z(0) + -3.5 * ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1278) q[0];
ry(0.4959) q[1];
ry(0.0659) q[2];
ry(0.4892) q[3];
ry(0.243) q[4];
ry(0.4941) q[5];
ry(0.4859) q[6];
ry(0.1849) q[7];
ry(0.4922) q[8];
crx(0.2531) q[8], q[0];
crx(-0.3764) q[7], q[8];
crx(-0.3312) q[6], q[7];
crx(0.1248) q[5], q[6];
crx(0.4897... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
1105476663965657734 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [0, 1, 6, 7, 8], [1, 2, 3, 4, 5, 6], [0, 1, 3, 4, 5, 6, 8], [0, 1, 2, 4, 5, 6, 7], [1, 2, 3, 4, 7], [0, 1, 2, 4, 7, 8], [2, 3, 5, 6, 7]]} | {"states": [379, 159], "expectation_value": -0.9956203259157981, "params": [[-0.3859], [0.3755]], "bitstrings": ["010000100", "101100000"], "total_optimization_steps": 40, "probabilities": [0.005073268459960008, 0.005099796734230073], "optimization_time": 2.51777982711792} | 0.19999999999999998 * (Z(8) @ Z(2)) + 0.2738095238095238 * (Z(6) @ Z(2)) + 0.24047619047619048 * (Z(6) @ Z(8)) + 0.05714285714285714 * (Z(0) @ Z(2)) + 0.10714285714285715 * (Z(0) @ Z(8)) + 0.09761904761904762 * (Z(0) @ Z(6)) + 0.14047619047619048 * (Z(1) @ Z(2)) + 0.10714285714285715 * (Z(1) @ Z(8)) + 0.130952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7142857142857133], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6809523809523814, "smallest_bitstrings": ["101100000"]} | 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[8];
rz(-0.1544) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(-0.2113) q[6];
cx q[2], q[6];
cx q[8], q[6];
rz(-0.1856) q[6];
cx q[8], q[6];
cx q[2], q[0];
rz(-0.0441) q[0];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [33, 161], "expectation_value": -4.559671062805984, "params": [0.0047, 0.4732, 0.006, 0.5405, -0.22790000000000002, 0.1835, -0.232, 0.3032, 0.012, 0.6765, -0.0014, 0.4807, 0.10360000000000001, -0.0468, 0.1287, -0.2866, -0.0164, 0.387, -0.07590000000000001, 0.5346000000000001, -0.0049, 0.16720000000000002, -0... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 6 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0047) q[0];
rz(0.4732) q[0];
rx(-0.2279) q[1];
rz(0.1835) q[1];
rx(0.012) q[2];
rz(0.6765) q[2];
rx(0.1036) q[3];
rz(-0.0468) q[3];
rx(-0.0164) q[4];
rz(0.387) q[4];
rx(-0.0049) q[5];
rz(0.1672) q[5];
rx(0.0022) q[6];
rz(0.491) q[6];
rx(0.0491) 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
af1426b93324259832bd09f6b200fbec | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [319, 511], "expectation_value": -11.249946260843014, "params": null, "bitstrings": ["1011000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.24996864818639514, 0.7500017274812409], "optimization_time": 268.55923771858215} | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5708) q[1];
cry(1.5708) q[1], q[4];
cry(1.5708) q[1], q[7];
cry(1.5708) q[4], q[5];
cry(1.5681) q[1], q[8];
cry(1.5681) q[4], q[9];
cry(1.5486) q[3], q[2];
cry(1.2305) q[2],... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.553829038419273, "params": [[[0.0017000000000000001, 0.006200000000000001], [-0.015600000000000001, 0.003], [0.0017000000000000001, 0.0027], [1.6068, 0.0081]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 160, "probabilities": [0.4819824254747294, 0.51795535837... | 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)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0017) q[0];
rz(0.0062) q[0];
rx(-0.0156) q[1];
rz(0.003) q[1];
rx(0.0017) q[2];
rz(0.0027) q[2];
rx(1.6068) q[3];
rz(0.0081) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure 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;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x0) q[2];
rz(x4) q[2];
rx(x5) q[3];
rz(x6) q[3];
c[0] = measure q... | {"k": 3} | {"circuits": [], "gradients": []} |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 44.30643343925476} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[3];
cry(1.5708) q[4], q[2];
cry(1.5707) q[5], q[1];
ry(0.614) q[5];
cry(-1.5394) q[5], q[0];
cry(0.3623) q[2], q[1];
cry(0.5361) q[1], q[5];
cry(0.1049) q[1], q[2];
ry(0.23) q[4];
cry(0.1174) q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
af458648554de42d1265969eb5319ca5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.578866914821397, "params": [-0.0092, -0.0942, -0.0048000000000000004, -0.0045000000000000005, 0.0017000000000000001, 0.29960000000000003, 0.0047, 0.30010000000000003, 0.0023, 0.2869, 0.0019, 0.2936, 0.4036, 0.002, 0.3995, 0.0027, 0.0001, 0.2943, 0.0067, 0.3134, 0.0018000000... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000001", "100000000000", "111011111111", "111011011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0092) q[0];
rz(-0.0942) q[0];
rx(0.0017) q[1];
rz(0.2996) q[1];
rx(0.0023) q[2];
rz(0.2869) q[2];
rx(0.4036) q[3];
rz(0.002) q[3];
rx(0.0001) q[4];
rz(0.2943) q[4];
rx(0.0018) q[5];
rz(0.3085) q[5];
rx(-0.3706) q[6];
rz(-0.0069) q[6];
rx(0.0031) 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": 11} | {"circuits": [], "gradients": []} |
1a9af805cf7f57ca2d44c009938a54aa | 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": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [0, 509], "expectation_value": -4.980515658094769, "params": [[[-0.6709, 0.7295], [-0.0026000000000000003, 1.1136000000000001], [-0.0029000000000000002, -0.003], [-0.0029000000000000002, -0.0016], [0.0028, -0.0015], [-0.0036000000000000003, -0.0018000000000000002], [-0.0028, -0.0028], [-0.002, -0.00180000000... | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 15 | 10 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.6709) q[0];
ry(-0.0026) q[1];
ry(-0.0029) q[2];
ry(-0.0029) q[3];
ry(0.0028) q[4];
ry(-0.0036) q[5];
ry(-0.0028) q[6];
ry(-0.002) q[7];
ry(-0.0063) q[8];
ry(0.0025) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-3423843564526569824 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 11], [10, 5], [1, 6, 9], [8, 1], [0, 2], [1, 2], [1, 11], [4, 5], [8, 0, 5], [9, 4], [10, 4, 7], [3, 11, 5], [2, 4], [8, 11], [0, 3], [2, 5, 7], [3, 5, 7]]} | {"states": [479, 223], "expectation_value": -2.09344297395526, "params": [[[1.0912, 0.0073], [1.0689, 0.008400000000000001], [1.4309, 0.0029000000000000002], [1.5683, 0.0016], [2.3044000000000002, 0.001], [2.2942, 0.0059], [1.0622, 0.0005], [2.2942, 0.0029000000000000002], [2.3009, 0.006900000000000001], [2.3029, 0.006... | 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["111100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0912) q[0];
rz(0.0073) q[0];
rx(1.0689) q[1];
rz(0.0084) q[1];
rx(1.4309) q[2];
rz(0.0029) q[2];
rx(1.5683) q[3];
rz(0.0016) q[3];
rx(2.3044) q[4];
rz(0.001) q[4];
rx(2.2942) q[5];
rz(0.0059) q[5];
rx(1.0622) q[6];
rz(0.0005) q[6];
rx(2.2942) 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 68.3484218120575} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[1];
ry(-0.1184) q[2];
ry(-0.2968) q[0];
ry(-0.6213) q[3];
cry(-1.4512) q[4], q[2];
cry(-1.274) q[5], q[0];
cry(-0.9495) q[1], q[3];
cry(-1.2937) q[5], q[1];
ry(0.6626) q[5];
cry(-0.4713) q[4], q[0];
... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
af2f2f04f1c83cd876e9be016f2f3569 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -21.7510923371172, "params": [[[-0.0024000000000000002, -0.0448], [0.004200000000000001, 0.0032], [0.0021000000000000003, 0.0028], [0.0002, -0.0028], [0.0059, 0.0025], [0.004, 0.0023], [0.0131, 0.0023], [0.0018000000000000002, 0.0021000000000000003], [0.0098, 0.002100000000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(8)) + -0.75 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(1)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0024) q[0];
ry(0.0042) q[1];
ry(0.0021) q[2];
ry(0.0002) q[3];
ry(0.0059) q[4];
ry(0.004) q[5];
ry(0.0131) q[6];
ry(0.0018) q[7];
ry(0.0098) q[8];
ry(0.0051) q[9];
ry(0.0555) q[10];
ry(0.0003) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
2f55547bea74149f74a1253622558179 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"sour... | {"states": [0, 255], "expectation_value": -14.473518444190645, "params": [[[0.0019, 1.6128], [0.002, 0.0021000000000000003], [0.0023, 0.0021000000000000003], [0.0023, 0.5363], [0.0018000000000000002, 0.0024000000000000002], [0.0021000000000000003, 0.0019], [-0.0036000000000000003, 0.0028], [0.0025, 0.003]]], "bitstring... | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) +... | 15 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0019) q[0];
ry(0.002) q[1];
ry(0.0023) q[2];
ry(0.0023) q[3];
ry(0.0018) q[4];
ry(0.0021) q[5];
ry(-0.0036) q[6];
ry(0.0025) 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];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 1} | {"circuits": [], "gradients": []} |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [9, 1], "expectation_value": -0.40017078010547613, "params": [[-0.0813], [0.0784]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005391172998293352, 0.005606485752714632], "optimization_time": 4.542090177536011} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "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(0.0813) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.122) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0813) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0813) q[5];
cx q[1], q[5];
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;
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(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
0df4df25c74ca38eb293288a64f6d090 | 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": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [94, 93], "expectation_value": -10.997278985236465, "params": [[0.047900000000000005, 0.0018000000000000002], [-0.0526, -0.033]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.00829629199169192, 0.009642748654505658], "optimization_time": 3.9503800868988037} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"]} | 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(0.3832) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3832) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.3832) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.3832) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
925684533b4e31edada01d4959cea14e | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [57, 169], "expectation_value": -4.099780423700976, "params": [0.8036000000000001, 0.2862, 0.8052, 0.0035, 0.16110000000000002, -0.35910000000000003, 0.159, 0.0098, 0.8111, 0.1277, 0.8091, 0.0034000000000000002, 0.7949, 0.2907, 0.7938000000000001, 0.0043, 0.8071, 0.1259, 0.8115, 0.0012000000000000001, 0.003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -2.0 * Z(6) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010110", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8036) q[0];
rz(0.2862) q[0];
rx(0.1611) q[1];
rz(-0.3591) q[1];
rx(0.8111) q[2];
rz(0.1277) q[2];
rx(0.7949) q[3];
rz(0.2907) q[3];
rx(0.8071) q[4];
rz(0.1259) q[4];
rx(0.003) q[5];
rz(0.4383) q[5];
rx(0.0032) q[6];
rz(0.3908) q[6];
rx(0.802) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-5192292056592414603 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [2, 4, 6], [0, 1, 3, 5, 8], [3, 5, 6, 7, 8], [8, 3, 4, 6], [0, 1, 3, 4, 5]]} | {"states": [403, 407], "expectation_value": -1.0922919971088523, "params": [1.0963, -0.006200000000000001, 1.0965, 0.0034000000000000002, 1.0957000000000001, -0.010400000000000001, 1.0885, 0.0079, 0.7669, 0.0092, 0.5569000000000001, 0.004, 1.0883, 0.0123, 0.8971, 0.003, 1.0956000000000001, -0.0102, 1.0977000000000001, ... | 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + 0.05 * (Z(0) @ Z(4)) + 0.05 * (Z(1) @ Z(4)) + 0.1 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(3) @ Z(6)) + 0.1 * (Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.6833333333333338, -1.6833333333333338], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6833333333333333, "smallest_bitstrings": ["001001001", "001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0963) q[0];
rz(-0.0062) q[0];
rx(1.0957) q[1];
rz(-0.0104) q[1];
rx(0.7669) q[2];
rz(0.0092) q[2];
rx(1.0883) q[3];
rz(0.0123) q[3];
rx(1.0956) q[4];
rz(-0.0102) q[4];
rx(1.1048) q[5];
rz(-0.0166) q[5];
rx(1.0908) q[6];
rz(-0.0139) q[6];
rx(1.104) 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": []} |
-4230564470616718058 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [0, 3], [2, 4], [0, 6, 7], [4, 5], [2, 3, 7], [5, 7], [0, 1, 7], [8, 4, 7], [0, 8, 1], [8, 3, 6], [1, 4], [4, 6], [0, 1, 5], [8, 1, 7]]} | {"states": [274, 275], "expectation_value": -3.035022356088209, "params": [[1.3631, 0.6993, -0.13340000000000002, 0.5003000000000001, 1.5931000000000002, 0.35960000000000003, -0.0038, 1.5834000000000001, 0.0694], [1.5798, 0.9153, 0.5804, 1.5917000000000001, 1.4923000000000002, 0.5159, 0.9808, 1.5805, 1.5951000000000002... | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.166... | 10 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["011101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.3631) q[0];
ry(0.6993) q[1];
ry(-0.1334) q[2];
ry(0.5003) q[3];
ry(1.5931) q[4];
ry(0.3596) q[5];
ry(-0.0038) q[6];
ry(1.5834) q[7];
ry(0.0694) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-1220577016485679472 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 5], [0, 10, 7], [0, 9, 6], [1, 7], [8, 1, 9], [1, 6], [2, 11], [11, 4], [6, 7], [8, 3], [8, 7], [0, 9, 7], [2, 3, 6], [5, 7], [9, 4, 7], [1, 4], [9, 2, 3], [8, 9, 10], [9, 5]]} | {"states": [1349, 1861], "expectation_value": -5.423740009290153, "params": [[[1.2866, 0.0083, 0.0098, 0.0061], [-0.0024000000000000002, -0.3052, 1.5684, 0.006], [1.5892000000000002, 0.0017000000000000001, 0.006500000000000001, 0.007200000000000001], [0.0031000000000000003, -0.2152, 1.5738, 0.0076], [0.0026000000000000... | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-5.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.666666666666667, "smallest_bitstrings": ["100010111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.2866) q[0];
rz(0.0083) q[0];
ry(-0.0024) q[1];
rz(-0.3052) q[1];
ry(1.5892) q[2];
rz(0.0017) q[2];
ry(0.0031) q[3];
rz(-0.2152) q[3];
ry(0.0026) q[4];
rz(0.0039) q[4];
ry(0.9996) q[5];
rz(-0.0024) q[5];
ry(0.0028) q[6];
rz(0.0082) q[6];
ry(0.0022) 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": []} |
-7533301192627767249 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [3, 5], [0, 1, 2, 4, 6], [0, 5, 6], [1, 2, 4, 5]]} | {"states": [19, 51], "expectation_value": -1.524471727741803, "params": null, "bitstrings": ["1101100", "1001100"], "total_optimization_steps": 32, "probabilities": [0.17519645343854867, 0.5866838993471449], "optimization_time": 34.678061723709106} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6166666666666667, -1.6166666666666667, -1.6166666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5333333333333334, "smallest_bitstrings": ["1101000", "1001100", "0011001"]} | 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(1.4074) q[5];
cry(-1.4422) q[5], q[3];
ry(0.6756) q[2];
cry(-0.5877) q[6], q[0];
cry(0.5609) q[5], q[2];
ry(0.4862) q[6];
cry(-0.6496) q[2], q[0];
cry(0.6159) q[5], q[6];
cry(-0.4155) q[5], q[0];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.7937967634237784, "params": [[0.0666, 0.06620000000000001, 0.0244], [-0.062400000000000004, -0.0684, -0.0405]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01379996641822878, 0.014362439439407735], "optimization_time": 4.74544453... | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0666) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.1332) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.0333) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(-0.0666) q[5];
cx q[3], q[5];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.2694364124441141, "params": [[0.0658], [-0.0653]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.008989347085896274, 0.009122393960951252], "optimization_time": 1.5500812530517578} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"]} | 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(0.0658) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0658) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0658) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0658) q[3];
cx q[2], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} |
f018d277ea885d5b7d56fc1e20769028 | 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": [621, 589], "expectation_value": -66.15462159030531, "params": [1.2988, 0.32580000000000003, 0.48160000000000003, 0.5783, -0.0026000000000000003, 0.9699000000000001, 1.3008, 0.24980000000000002, 0.7583000000000001, 0.4207, 0.4927, 0.43510000000000004, 1.2961, 0.005, 1.3090000000000002, 0.33130000000000004, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 7.5 * Z(0) + 2.5 * Z(1) + 6.0 * Z(3) + 8.5 * Z(4) + 16.5 * Z(6) + 3.0 * Z(5) + 8.5 * Z(7) + 1.0 * Z(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["0110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2988) q[0];
rz(0.3258) q[0];
rx(0.4816) q[1];
rz(0.5783) q[1];
rx(-0.0026) q[2];
rz(0.9699) q[2];
rx(1.3008) q[3];
rz(0.2498) q[3];
rx(0.7583) q[4];
rz(0.4207) q[4];
rx(0.4927) q[5];
rz(0.4351) q[5];
rx(1.2961) q[6];
rz(0.005) q[6];
rx(1.309) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
c73fb99b98fad074b962ce40ef7ee484 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"s... | {"states": [8191, 8190], "expectation_value": -44.02723941862325, "params": [[[0.0025, 3.1591], [0.0019, 0.0024000000000000002], [0.0021000000000000003, 0.0019], [-0.003, 0.0029000000000000002], [-0.0029000000000000002, 0.0029000000000000002], [-0.0026000000000000003, 0.0027], [-0.0028, -0.0148], [0.002, 0.002], [0.002... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + -2.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.5, "smallest_bitstrings": ["0000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0025) q[0];
ry(0.0019) q[1];
ry(0.0021) q[2];
ry(-0.003) q[3];
ry(-0.0029) q[4];
ry(-0.0026) q[5];
ry(-0.0028) q[6];
ry(0.002) q[7];
ry(0.0022) q[8];
ry(0.002) q[9];
ry(0.0022) q[10];
ry(1.6293) q[11];
ry(0.0026) q[12];
cx q[12], q[0];
cx q[11], q[12];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 13} | {"circuits": [], "gradients": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378977, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 81.68458032608032} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"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(1.5486) q[4], q[3];
cry(1.566) q[3], q[1];
cry(1.228) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(1.3851) q[6], q[5];
cry(-1.1871) q[6], q[0];
cry(0.8636) q[5], q[6];
ry(-0.3736) q[2];
cry(0.3921) q[4], q... | 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(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
-5751249132743867441 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [217, 218], "expectation_value": -2.3516121445266154, "params": null, "bitstrings": ["00100110", "00100101"], "total_optimization_steps": 50, "probabilities": [0.07600888137934919, 0.8224020580710365], "optimization_time": 80.37275171279907} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(1.4449) q[3];
cry(-1.4433) q[6], q[7];
ry(0.8268) q[6];
cry(-0.5524) q[3], q[7];
cry(-1.1784) q[6], q[5];
cry(0.4235) q[3], q[6];
ry(1.0527) q[1];
ry(0.9238) q[0];
cry(-0.4105) q[3], q[5];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) 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[... |
c27e04a1b516da945dec2e0c25bb156f | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [255, 129], "expectation_value": -3.7114020794584794, "params": [[0.060700000000000004, 0.0663, 0.0487], [-0.041100000000000005, -0.054900000000000004, -0.0468]], "bitstrings": ["100000000", "101111110"], "total_optimization_steps": 10, "probabilities": [0.007871284590053233, 0.008792061206734174], "optimiza... | -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];
cx q[4], q[0];
rz(-0.0607) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.2125) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.1517) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.1214) q[1];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-7742219682958855466 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [0, 1, 3], [1, 2, 3]]} | {"states": [30, 28], "expectation_value": -0.8413732013946086, "params": null, "bitstrings": ["00001", "00011"], "total_optimization_steps": 21, "probabilities": [0.02848223612720294, 0.8438944443885048], "optimization_time": 16.196932792663574} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.4583333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.9166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9166666666666665, "smallest_bitstrings": ["00011"]} | 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(1.4074) q[1];
cry(-0.3963) q[2], q[3];
ry(0.3779) q[0];
cry(-0.4497) q[0], q[3];
cry(0.412) q[1], q[0];
cry(-0.2926) q[1], q[3];
ry(0.4763) q[2];
ry(-0.3135) q[3];
cry(0.4465) q[1], q[2];
cry(-0.4367) q[0], q[4];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4074) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
117d5eadcb002c843d1e10097e462227 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [15, 23], "expectation_value": -1.1432351812370636, "params": [[-0.075, -0.07730000000000001, -0.0779, -0.056600000000000004], [0.07400000000000001, 0.0753, 0.0777, 0.0704]], "bitstrings": ["110000", "101000"], "total_optimization_steps": 10, "probabilities": [0.03332238702333643, 0.03332238702333646], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.075) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.075) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.075) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.075) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.075... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 24.192705631256104} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "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];
cry(1.5706) q[1], q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
cry(-0.0027) q[1], q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
e2466d0e59f9ae9b15e99011693e125f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [100, 82], "expectation_value": -0.6520382681434709, "params": [[-0.0451, -0.035500000000000004, -0.0415], [0.0534, 0.044700000000000004, 0.046900000000000004]], "bitstrings": ["0011011", "0101101"], "total_optimization_steps": 10, "probabilities": [0.010823552609895292, 0.010823552609895298], "optimization_... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"]} | 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[0];
rz(-0.0451) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0451) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(-0.0451) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0451) q[3];
cx q[1], q[3];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60851, 60855], "expectation_value": -16.099862554439472, "params": [3.1452, 0.0057, 3.145, 0.0029000000000000002, 1.7869000000000002, 0.0076, 1.3318, 0.009000000000000001, 3.1451000000000002, 0.0089, 3.145, 0.0045000000000000005, 1.4826000000000001, 0.0012000000000000001, 1.7896, 0.0041, 1.7494, 0.0025, 1.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 18 | 16 | 1 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1452) q[0];
rz(0.0057) q[0];
rx(3.145) q[1];
rz(0.0029) q[1];
rx(1.7869) q[2];
rz(0.0076) q[2];
rx(1.3318) q[3];
rz(0.009) q[3];
rx(3.1451) q[4];
rz(0.0089) q[4];
rx(3.145) q[5];
rz(0.0045) q[5];
rx(1.4826) q[6];
rz(0.0012) q[6];
rx(1.7896) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} |
f83a24061b1538365ea5863841ae1bf9 | 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": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -27.241145496300668, "params": [[0.0323, 0.006, -0.0126], [-0.08370000000000001, -0.07060000000000001, -0.0514]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.009633877837717103, 0.010835086437512489], "optimization_time": 14.3... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"]} | 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(0.2907) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2907) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.2907) q[1];
cx q[0], q[1];
cx q[0], q[4];
rz(0.2907) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
7965923827962797828 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 8, 9], [0, 3, 5, 7, 8, 9], [1, 6, 7], [1, 3], [1, 2, 5], [0, 2, 3, 4, 7, 8], [1, 2, 4, 7, 8], [8, 1, 4, 5], [9, 2, 5, 7], [0, 3, 5, 6, 8, 9], [8, 0, 2, 6]]} | {"states": [766, 254], "expectation_value": -1.7457737108345173, "params": [1.0728, -0.2144, 1.074, 0.003, 1.0485, 0.37720000000000004, 0.8952, 0.002, 1.2870000000000001, -0.042800000000000005, 1.139, 0.0001, 1.0353, 0.19920000000000002, 0.7393000000000001, 0.009000000000000001, 1.2983, 0.0538, 1.2847, 0.0037, 1.3002, ... | 0.08333333333333334 * (Z(2) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.15 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(4)) + 0.116666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.8833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["1100000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0728) q[0];
rz(-0.2144) q[0];
rx(1.0485) q[1];
rz(0.3772) q[1];
rx(1.287) q[2];
rz(-0.0428) q[2];
rx(1.0353) q[3];
rz(0.1992) q[3];
rx(1.2983) q[4];
rz(0.0538) q[4];
rx(1.3002) q[5];
rz(0.0375) q[5];
rx(1.2967) q[6];
rz(0.0289) q[6];
rx(1.2992) 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": []} |
20b257e7ab3ea05503daa46ec3868b05 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [182, 359], "expectation_value": -0.38947232151962174, "params": [[-0.0648, -0.0653, -0.0626, -0.0485], [0.07350000000000001, 0.0693, 0.066, 0.0594]], "bitstrings": ["101001001", "010011000"], "total_optimization_steps": 10, "probabilities": [0.003740628624734998, 0.004346504757611496], "optimization_time": ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(7)) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6875, "smallest_bitstrings": ["010011000"]} | 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(-0.0648) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0324) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0324) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0324) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
ab957251534d09507f870c3a6ef42154 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2393, 2394], "expectation_value": -1.282627630988568, "params": null, "bitstrings": ["011010100110", "011010100101"], "total_optimization_steps": 100, "probabilities": [0.03790126339829552, 0.49075599085358346], "optimization_time": 316.2135269641876} | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["100101011010", "101010010101", "010101101010", "011010100101"]} | 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];
cry(-0.5959) q[10], q[11];
cry(-0.5959) q[5], q[4];
cry(-0.5947) q[7], q[6];
cry(-0.5947) q[0], q[1];
cry(-0.5937) q[3], q[2];
cry(-0.5937) q[8], q[9];
cry(-0.3... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5959) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
-7174762811135644082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3], [0, 1], [2, 10], [10, 4], [11, 5], [3, 6], [2, 7], [8, 2], [8, 9]]} | {"states": [1669, 1701], "expectation_value": -0.024132103493819085, "params": [[[1.5121, 0.008700000000000001], [1.6151, 0.0081], [1.6481000000000001, 0.0015], [1.5399, 0.00030000000000000003], [1.647, 0.0043], [1.4718, 0.0076], [1.5942, 0.0028], [1.4793, 0.008400000000000001], [1.482, 0.0012000000000000001], [1.6412,... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(10) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(11) + 0.0 * Z(6) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["101110000101", "010001111010", "100100011011", "101111000100", "011010100101", "011011100100", "010000111011", "100101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5121) q[0];
rz(0.0087) q[0];
rx(1.6151) q[1];
rz(0.0081) q[1];
rx(1.6481) q[2];
rz(0.0015) q[2];
rx(1.5399) q[3];
rz(0.0003) q[3];
rx(1.647) q[4];
rz(0.0043) q[4];
rx(1.4718) q[5];
rz(0.0076) q[5];
rx(1.5942) q[6];
rz(0.0028) q[6];
rx(1.4793) 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": []} |
9a33a97e99d096a15ec624378476d390 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [324, 332], "expectation_value": -6.06735780412813, "params": [[0.7818, 0.0027, 0.7848, 0.0034000000000000002, -0.004, -0.5466, 1.0909, 0.2452, -0.0011], [0.7796000000000001, 0.0044, 0.787, 0.0026000000000000003, -0.0018000000000000002, 0.554, 1.0788, 0.1467, 0.0019], [0.7846000000000001, 0.0044, 0.7792, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110011", "001100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7818) q[0];
ry(0.0027) q[1];
ry(0.7848) q[2];
ry(0.0034) q[3];
ry(-0.004) q[4];
ry(-0.5466) q[5];
ry(1.0909) q[6];
ry(0.2452) q[7];
ry(-0.0011) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-3244939026769364016 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [0, 5], [0, 6], [3, 4, 7], [4, 6, 7], [0, 2, 4], [1, 5]]} | {"states": [55, 62], "expectation_value": -0.03476981796434943, "params": [[0.059000000000000004], [-0.0478]], "bitstrings": ["11001000", "11000001"], "total_optimization_steps": 10, "probabilities": [0.004113917680852074, 0.004128710991417321], "optimization_time": 0.656287431716919} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["11000001"]} | 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(0.0393) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0197) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0197) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.059) q[5];
cx q[0], q[5];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
08ced21e9f416e8feafb347a1a58a965 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [2032, 2047], "expectation_value": -2.671345101472533, "params": [[-0.08320000000000001], [0.0789]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0009880402977980678, 0.0010078473001620817], "optimization_time": 0.8550033569335938} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(0.2496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0832) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.4992) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0832) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 8} | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [126, 118], "expectation_value": -66.48316939029289, "params": [1.3201, 0.006200000000000001, 3.1454, 0.003, 3.1456, 0.0027, 3.1455, 0.0081, 1.5317, 0.0039000000000000003, 3.1470000000000002, 0.0034000000000000002, 3.1459, 0.0037, 0.1423, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.3201) q[0];
rz(0.0062) q[0];
rx(3.1454) q[1];
rz(0.003) q[1];
rx(3.1456) q[2];
rz(0.0027) q[2];
rx(3.1455) q[3];
rz(0.0081) q[3];
rx(1.5317) q[4];
rz(0.0039) q[4];
rx(3.147) q[5];
rz(0.0034) q[5];
rx(3.1459) q[6];
rz(0.0037) q[6];
rx(0.1423) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
c3bf44cd77c1dba6224f98be8925cc65 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1791], "expectation_value": -12.6261836976727, "params": [0.0176, 2.2837, 0.026000000000000002, 0.0016, -0.10650000000000001, 1.5401, 0.7873, 0.0098, 0.1824, 2.5399000000000003, 0.3622, 0.006, -0.6138, 1.5935000000000001, -0.5923, 0.0013000000000000002, -0.8691000000000001, 0.9678, 0.1724, 0.0059, 0.8689... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0176) q[0];
rz(2.2837) q[0];
rx(-0.1065) q[1];
rz(1.5401) q[1];
rx(0.1824) q[2];
rz(2.5399) q[2];
rx(-0.6138) q[3];
rz(1.5935) q[3];
rx(-0.8691) q[4];
rz(0.9678) q[4];
rx(0.8689) q[5];
rz(1.4378) q[5];
rx(0.8758) q[6];
rz(1.6765) q[6];
rx(0.8702) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [0, 1], "expectation_value": -6.019694109854037, "params": [[[0.0015, 0.009000000000000001], [0.0023, 0.0089], [0.0025, 0.0045000000000000005], [-0.0027, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [1.6103, 0.0025]]], "bitstrings": ["111111", "111110"], "total_optimization_steps": 160, "probabil... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0015) q[0];
rz(0.009) q[0];
rx(0.0023) q[1];
rz(0.0089) q[1];
rx(0.0025) q[2];
rz(0.0045) q[2];
rx(-0.0027) q[3];
rz(0.0012) q[3];
rx(0.0026) q[4];
rz(0.0041) q[4];
rx(1.6103) q[5];
rz(0.0025) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [14, 26], "expectation_value": -0.07960083591479408, "params": [[-0.0847], [0.07730000000000001]], "bitstrings": ["110001", "100101"], "total_optimization_steps": 10, "probabilities": [0.017276666139259586, 0.017276666139259593], "optimization_time": 2.411858081817627} | 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(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | 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(-0.0423) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0423) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0423) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0423) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | null | {"circuits": [], "gradients": []} |
47cc3572ddac8db9cfe3d2e2cd09f1ef | 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": 5, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 5, "source": 2, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -16.760234253263093, "params": [[[0.0047, -0.0854], [0.0033, 0.003], [0.0097, 0.002], [0.0068000000000000005, 0.002], [0.0055000000000000005, 0.0022], [-0.0041, 0.0026000000000000003], [0.0079, -0.0024000000000000002], [-0.0031000000000000003, -0.0025], [0.006500000000000001,... | -1.25 * (Z(0) @ Z(7)) + -3.0 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-17.5, -17.5, -17.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.5, "smallest_bitstrings": ["1000000000", "1000001000", "1010001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0047) q[0];
ry(0.0033) q[1];
ry(0.0097) q[2];
ry(0.0068) q[3];
ry(0.0055) q[4];
ry(-0.0041) q[5];
ry(0.0079) q[6];
ry(-0.0031) q[7];
ry(0.0065) q[8];
ry(1.5993) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
e9c462a1bd32b66e47c042d7665c8b8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [682, 683], "expectation_value": -1.9923660105377097, "params": [[0.8481000000000001, 0.2846, 1.5017, 0.0033, 1.4979, 0.4314, 1.4973, 0.6885, 0.9409000000000001, 0.7177], [1.5081, 0.6666000000000001, 1.4918, 0.0014, 1.4963, 1.135, 1.466, 0.2909, 1.5018, 1.5058]], "bitstrings": ["0101010101", "0101010100"], "... | 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(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101100010", "0101000101", "0101001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8481) q[0];
ry(0.2846) q[1];
ry(1.5017) q[2];
ry(0.0033) q[3];
ry(1.4979) q[4];
ry(0.4314) q[5];
ry(1.4973) q[6];
ry(0.6885) q[7];
ry(0.9409) q[8];
ry(0.7177) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [16, 80], "expectation_value": -4.013497749022705, "params": [[[1.6212, 0.0023], [0.0023, 0.00030000000000000003], [1.6926, 0.0043], [-0.0032, 0.0025], [1.5177, 0.0025], [-0.004200000000000001, 0.0001], [1.369, 0.006200000000000001]]], "bitstrings": ["1101111", "0101111"], "total_optimization_steps": 170, "p... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111010", "1101011", "0111101", "0111110", "0101111", "1110011", "1001111", "1011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6212) q[0];
rz(0.0023) q[0];
rx(0.0023) q[1];
rz(0.0003) q[1];
rx(1.6926) q[2];
rz(0.0043) q[2];
rx(-0.0032) q[3];
rz(0.0025) q[3];
rx(1.5177) q[4];
rz(0.0025) q[4];
rx(-0.0042) q[5];
rz(0.0001) q[5];
rx(1.369) q[6];
rz(0.0062) q[6];
c[0] = measure q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
-395119201106338464 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [8, 5], [1, 7], [0, 2, 5], [8, 0, 3], [1, 2, 6], [0, 3, 5], [0, 4, 7], [3, 4], [0, 8, 6], [1, 3], [0, 4, 5]]} | {"states": [110, 465], "expectation_value": -0.07826330255091883, "params": [[0.061900000000000004], [-0.049300000000000004]], "bitstrings": ["110010001", "000101110"], "total_optimization_steps": 10, "probabilities": [0.0021146498067852963, 0.0021410554445694435], "optimization_time": 3.491267442703247} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000101110"]} | 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[8];
rz(0.0206) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(0.0413) q[6];
cx q[2], q[6];
cx q[8], q[6];
rz(0.0413) q[6];
cx q[8], q[6];
cx q[2], q[5];
rz(0.0206) 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[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[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(x1) q[6];
cx q[2], q[6];
cx... | null | {"circuits": [], "gradients": []} |
d1a7b7cf714c6ef8e95d1c5632642a08 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 959], "expectation_value": -0.4170800884976317, "params": [[0.058300000000000005], [-0.0472]], "bitstrings": ["0000000000", "0001000000"], "total_optimization_steps": 10, "probabilities": [0.0011964233974583447, 0.0012096422481602293], "optimization_time": 1.667301893234253} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
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(-0.1166) q[0];
cx q[1], q[0];
cx q[6], q[4];
rz(-0.1749) q[4];
cx q[6], q[4];
cx q[6], q[5];
rz(-0.1749) q[5];
cx q[6], q[5];
cx q[4], q[5];
rz(0.0583) q[5];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[4];
... | {"node": 3} | {"circuits": [], "gradients": []} |
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