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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ee3d1657115ac7fe63817a76eff6e74f | 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": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -25.818738550598724, "params": [[0.0241, 0.0117, -0.0122, -0.0094], [-0.0461, -0.0645, -0.0334, -0.0222]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.006710116744232005, 0.007807501190836332], "optimization_time": 7.983406066... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2169) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.2169) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(0.2169) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.2169) q[4];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
df682e2d7fb98a289acacc6990a57f8a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [214, 212], "expectation_value": -4.707560382255808, "params": [2.2024, -0.0031000000000000003, 2.209, -0.0095, 0.0021000000000000003, -0.507, 2.2012, -0.0029000000000000002, 2.193, -0.0031000000000000003, 2.2013000000000003, 0.0035, 1.3776000000000002, -0.7889, -0.0199, 0.0061, 0.9737, -1.9166, 0.0021000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(3) + -1.0 * Z(... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["00101011", "01110100", "01101001", "00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.2024) q[0];
rz(-0.0031) q[0];
rx(2.209) q[1];
rz(-0.0095) q[1];
rx(0.0021) q[2];
rz(-0.507) q[2];
rx(2.2012) q[3];
rz(-0.0029) q[3];
rx(2.193) q[4];
rz(-0.0031) q[4];
rx(2.2013) q[5];
rz(0.0035) q[5];
rx(1.3776) q[6];
rz(-0.7889) q[6];
rx(-0.0199) 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": []} |
c8d51f72aae3d3846253f049803bf8f2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [235, 107], "expectation_value": -64.34155801937153, "params": [-0.0021000000000000003, 0.0066, 0.8266, 0.002, 1.5039, 0.0071, 2.4055, 0.009300000000000001, 2.4091, 0.0082, -0.0018000000000000002, 0.0028, 2.4039, 0.0038, 0.9304, 0.0067, 2.4, 0.0002, 2.4009, 0.0031000000000000003, 0.0094, 0.0089, 0.0086, 0.00... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(1) @ Z(8)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(9) @ Z(1)) + 15.0 * Z(3) + 5.0 * Z(2) + 14.5 * Z(4) + -5.0 * Z(0) + 6.0 * Z(6) + -5.5 * Z(5) + 1.0 * Z(7) + 10.0 ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.0, "smallest_bitstrings": ["1110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0021) q[0];
rz(0.0066) q[0];
rx(0.8266) q[1];
rz(0.002) q[1];
rx(1.5039) q[2];
rz(0.0071) q[2];
rx(2.4055) q[3];
rz(0.0093) q[3];
rx(2.4091) q[4];
rz(0.0082) q[4];
rx(-0.0018) q[5];
rz(0.0028) q[5];
rx(2.4039) q[6];
rz(0.0038) q[6];
rx(0.9304) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
b99d01e343a9618170192b83f850e849 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [20, 21], "expectation_value": -3.338276730459542, "params": [0.0006000000000000001, 0.2755, 0.010400000000000001, -0.22640000000000002, 0.4955, 0.2011, 0.4934, 0.3045, 0.4002, -0.013800000000000002, 0.5079, -0.0038, -0.012400000000000001, 0.2204, 0.39480000000000004, 0.062200000000000005, 0.0045000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(6) + -1.0 * Z(7) + -1.0 * Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100011", "11101001", "11101010", "01101011", "10011110", "10010111", "11010011", "11011010", "11011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0006) q[0];
rz(0.2755) q[0];
rx(0.0104) q[1];
rz(-0.2264) q[1];
rx(0.4955) q[2];
rz(0.2011) q[2];
rx(0.4934) q[3];
rz(0.3045) q[3];
rx(0.4002) q[4];
rz(-0.0138) q[4];
rx(0.5079) q[5];
rz(-0.0038) q[5];
rx(-0.0124) q[6];
rz(0.2204) q[6];
rx(0.3948) 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": []} |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.2383987837622663, "params": [[-0.0882], [0.0814]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.03748643971127412, 0.03846992921933291], "optimization_time": 1.0893456935882568} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.0441) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0441) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0882) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.2646) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0441) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2730, 1386], "expectation_value": -1.5098847742229902, "params": [[[3.1443000000000003, 0.0068000000000000005], [-2.7154000000000003, 0.0058000000000000005], [3.1442, 0.0076], [-2.7115, 0.0047], [3.1443000000000003, 0.0074], [1.5466, 0.0014], [3.1443000000000003, 0.0015], [-2.1403000000000003, 0.00390000000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00017361111111111112 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.00017361111111111112 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00034722222222222224 * (Z(6) @ Z(0)) + 0.0010416666... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666674, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1443) q[0];
rz(0.0068) q[0];
rx(-2.7154) q[1];
rz(0.0058) q[1];
rx(3.1442) q[2];
rz(0.0076) q[2];
rx(-2.7115) q[3];
rz(0.0047) q[3];
rx(3.1443) q[4];
rz(0.0074) q[4];
rx(1.5466) q[5];
rz(0.0014) q[5];
rx(3.1443) q[6];
rz(0.0015) q[6];
rx(-2.1403) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.12776453038593266, "params": [[0.002, -0.0534], [-0.0463, 0.054]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016791024587216194, 0.016957658610631126], "optimization_time": 2.3940112590789795} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.001) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.001) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.004) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.001) q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(-0.004... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
0dfcdb47416adb6a36dbeb085dec3a08 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [177, 181], "expectation_value": -5.5064666750409215, "params": [[[0.0018000000000000002, 0.4239], [0.8117000000000001, 0.004], [0.2979, 0.24760000000000001], [0.8046000000000001, 0.004], [0.8047000000000001, 0.0004], [0.0007, 0.43420000000000003], [0.8041, 0.0031000000000000003], [-0.0023, 0.4036], [0.80070... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0018) q[0];
rz(0.4239) q[0];
rx(0.8117) q[1];
rz(0.004) q[1];
rx(0.2979) q[2];
rz(0.2476) q[2];
rx(0.8046) q[3];
rz(0.004) q[3];
rx(0.8047) q[4];
rz(0.0004) q[4];
rx(0.0007) q[5];
rz(0.4342) q[5];
rx(0.8041) q[6];
rz(0.0031) q[6];
rx(-0.0023) q[7];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6875268613906573540 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [8, 2], [1, 2, 4], [8, 1, 5], [3, 4, 7], [0, 3, 5], [8, 6], [0, 1, 2], [0, 4], [0, 1, 3], [2, 3], [8, 3, 4], [1, 6, 7], [2, 5, 6]]} | {"states": [252, 188], "expectation_value": -3.7635202045308835, "params": null, "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 69, "probabilities": [0.15482509253841492, 0.6008460248182168], "optimization_time": 126.19615149497986} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333344, "smallest_bitstrings": ["101000011"]} | 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(1.5592) q[1];
ry(1.4449) q[3];
cry(-1.3577) q[8], q[2];
ry(0.8022) q[8];
cry(-0.5418) q[3], q[2];
cry(-1.0908) q[6], q[0];
ry(1.0887) q[5];
ry(1.0421) q[4];
cry(-0.593) q[4], q[0];
ry(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];\nry(1.5592) 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] = m... |
-4604205967297380154 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [2, 4, 5, 7, 8], [0, 3, 4, 6, 8], [2, 3, 5, 6, 7], [8, 1, 4, 7], [1, 3, 4, 7], [8, 1, 3, 4], [8, 1, 4, 5], [1, 2, 3, 5, 6], [8, 0, 2, 6], [2, 5, 6, 7, 8], [0, 1, 3, 4, 5], [8, 2, 3, 7], [8, 0, 2, 5]]} | {"states": [478, 431], "expectation_value": -2.01567302274256, "params": [[0.3252], [-0.316]], "bitstrings": ["000100001", "001010000"], "total_optimization_steps": 40, "probabilities": [0.0070760688010316, 0.007093809524483622], "optimization_time": 10.029285907745361} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.2833333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2, "smallest_bitstrings": ["001010000"]} | 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(0.2168) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.2276) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1734) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0325) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1663731948582611538 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [3, 4], [4, 5], [1, 3], [1, 5], [1, 2], [0, 4]]} | {"states": [45, 13], "expectation_value": -2.233233075375458, "params": null, "bitstrings": ["010010", "110010"], "total_optimization_steps": 40, "probabilities": [0.21035757449912865, 0.6078872219091307], "optimization_time": 34.298094749450684} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101101", "001101", "100101", "110010", "010010", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[5], q[1];
ry(1.0293) q[5];
cry(1.0886) q[5], q[3];
cry(-0.9157) q[5], q[4];
cry(-0.8992) q[3], q[1];
cry(1.3606) q[5], q[2];
ry(0.3712) q[3];
cry(0.2886) q[3], q[5];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
5709738025258929318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7], [0, 8], [0, 2, 3, 5], [8, 1, 5, 6], [8, 3, 5], [8, 1, 4, 5], [3, 4, 6, 7], [8, 7], [8, 2, 4, 5], [0, 4, 6], [0, 3, 5, 7], [1, 3, 4], [0, 1, 2, 4], [2, 5, 7]]} | {"states": [117, 410], "expectation_value": -0.12983725581843455, "params": [[0.07050000000000001], [-0.0599]], "bitstrings": ["110001010", "001100101"], "total_optimization_steps": 10, "probabilities": [0.0021411091206134684, 0.002159177683021065], "optimization_time": 8.447177648544312} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.583333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000018, "smallest_bitstrings": ["001100101"]} | 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(0.0353) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0118) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0353) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0353) q[7];
cx q[2], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_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": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 23.493541955947876} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[1];
cry(1.5681) q[4], q[2];
cry(1.2279) q[2], q[4];
cry(1.566) q[2], q[3];
cry(1.5697) q[3], q[5];
ry(-1.5266) q[0];
cry(-0.0676) q[1], q[3];
cry(0.071) q[4], q[3];
cry(-0.0817) q[5], q[3];
ry(0.0264... | 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(1.5486) 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... |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.5243227229270129, "params": [[0.0765, 0.0746, 0.079], [-0.0762, -0.06960000000000001, -0.07540000000000001]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.04904274769822403, 0.05090669462252419], "optimization_time": 2.072067737579345... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"]} | 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(-0.0382) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0765) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.1147) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.0765) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0765) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
1b24af073a06b420b0e381d469b6416f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 7}, {"source": ... | {"states": [319, 1023], "expectation_value": -16.907834342024866, "params": null, "bitstrings": ["1011000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07103812662458286, 0.31783611912585424], "optimization_time": 214.26031255722046} | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -2.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(7)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 1.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-31.0, -31.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -30.0, "smallest_bitstrings": ["0000000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[3], q[7];
cry(1.5577) q[7], q[1];
cry(-0.1325) q[1], q[3];
cry(-0.0174) q[7], q[3];
ry(-0.1845) q[3];
cry(0.9189) q[1], q[6];
cry(0.6128) q[6], q[3];
cry(0.9631) q[... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], 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] = measu... |
3469748cd4dcce50adb557c4a78b9b74 | 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": [839, 583], "expectation_value": -91.94972434471816, "params": [0.2796, -0.0058000000000000005, 0.8006000000000001, -0.0233, 0.5393, 0.29450000000000004, 0.3297, -0.23190000000000002, 0.8046000000000001, -0.0103, 0.1746, -0.3714, 0.0033, 0.5717, 0.42510000000000003, -0.23850000000000002, 0.796, -0.0722, 0.78... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(0) + 15.0 * Z(1) + 4.5 * Z(3) + 14.0 * Z(4)... | 4 | 11 | 3 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["10110111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2796) q[0];
rz(-0.0058) q[0];
rx(0.8006) q[1];
rz(-0.0233) q[1];
rx(0.5393) q[2];
rz(0.2945) q[2];
rx(0.3297) q[3];
rz(-0.2319) q[3];
rx(0.8046) q[4];
rz(-0.0103) q[4];
rx(0.1746) q[5];
rz(-0.3714) q[5];
rx(0.0033) q[6];
rz(0.5717) q[6];
rx(0.4251) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
6239896877e60cfc31753929f841fc82 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [228, 224], "expectation_value": -2.9871932022824286, "params": [[[0.8266, -0.0043], [0.9096000000000001, 0.0021000000000000003], [0.8985000000000001, 0.0011], [-0.0024000000000000002, 0.4168], [-0.0018000000000000002, 0.35800000000000004], [0.7464000000000001, -0.048600000000000004], [-0.0027, 0.59200000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["10011011", "00011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8266) q[0];
rz(-0.0043) q[0];
rx(0.9096) q[1];
rz(0.0021) q[1];
rx(0.8985) q[2];
rz(0.0011) q[2];
rx(-0.0024) q[3];
rz(0.4168) q[3];
rx(-0.0018) q[4];
rz(0.358) q[4];
rx(0.7464) q[5];
rz(-0.0486) q[5];
rx(-0.0027) q[6];
rz(0.592) q[6];
rx(-0.003) 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": []} |
b6baad67864f2ddcbb0ef04d2a8f04ff | 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": [399, 143], "expectation_value": -50.637168366809654, "params": [0.7907000000000001, 0.3458, 1.1976, 0.0036000000000000003, -0.0018000000000000002, 0.78, -0.005200000000000001, -0.5811000000000001, 0.19090000000000001, -0.49920000000000003, 1.2022000000000002, -0.0055000000000000005, 1.1997, 0.0025, 1.203, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(4) @ Z(7)) + 5.5 * Z(1) + 7.0 * Z(0) + -2.5 * Z(3) + 13.5 * Z(5) + 8.0 * Z(6) + -5.5 * Z(2) + 15.5 * Z(8) + 9.0 * Z(7) + -1.0 * Z(4) | 18 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7907) q[0];
rz(0.3458) q[0];
rx(1.1976) q[1];
rz(0.0036) q[1];
rx(-0.0018) q[2];
rz(0.78) q[2];
rx(-0.0052) q[3];
rz(-0.5811) q[3];
rx(0.1909) q[4];
rz(-0.4992) q[4];
rx(1.2022) q[5];
rz(-0.0055) q[5];
rx(1.1997) q[6];
rz(0.0025) q[6];
rx(1.203) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
6dcebdcd4bb157137b270600bc2c3966 | 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": 1, "target": 2}, {"sourc... | {"states": [2047, 30719], "expectation_value": -9.771856546981722, "params": [[[-0.0028, 0.0018000000000000002], [-0.0021000000000000003, 0.0049], [1.5756000000000001, 0.0094], [1.7098, 0.007500000000000001], [-0.0669, 0.0008], [-0.0026000000000000003, 0.0058000000000000005], [0.0022, 0.0029000000000000002], [1.4666000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(14)) + -1.5 * (Z(13) @ Z(14)) + 0.5 * (Z(13) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -... | 2 | 15 | 1 | {"smallest_eigenvalues": [-17.500000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.50000000000006, "smallest_bitstrings": ["000100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0028) q[0];
rz(0.0018) q[0];
rx(-0.0021) q[1];
rz(0.0049) q[1];
rx(1.5756) q[2];
rz(0.0094) q[2];
rx(1.7098) q[3];
rz(0.0075) q[3];
rx(-0.0669) q[4];
rz(0.0008) q[4];
rx(-0.0026) q[5];
rz(0.0058) q[5];
rx(0.0022) q[6];
rz(0.0029) q[6];
rx(1.4666) 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": 3} | {"circuits": [], "gradients": []} |
40a3686841126450928dceb82dd758e7 | 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": 1, "target": 6}, {"weight": 12, "source": 1, "target": 8}, {"weight": 9, "source... | {"states": [470, 214], "expectation_value": -72.81941042089282, "params": [0.1241, 0.1254, 0.0936, 0.126, 0.2921, -0.0007, 0.2847, -0.0018000000000000002, 0.2887, 0.00030000000000000003, 0.2964, -0.0064, 0.0896, -0.1126, 0.08900000000000001, -0.1178, 0.2977, -0.0045000000000000005, 0.2891, -0.004200000000000001, 0.0988... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 17.0 * Z(1) + 2.0 * Z(0) + 16.0 * Z(2) + 14.5 * Z(4) + -... | 6 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1241) q[0];
rz(0.1254) q[0];
rx(0.2921) q[1];
rz(-0.0007) q[1];
rx(0.2887) q[2];
rz(0.0003) q[2];
rx(0.0896) q[3];
rz(-0.1126) q[3];
rx(0.2977) q[4];
rz(-0.0045) q[4];
rx(0.0988) q[5];
rz(0.1226) q[5];
rx(0.2925) q[6];
rz(0.0034) q[6];
rx(0.2939) 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... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
1f004d7ba4b4dbe69a30d8efdf409fa2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [423, 167], "expectation_value": -95.90007143425686, "params": [0.0027, 1.0277, 0.0032, 0.9095000000000001, 0.7359, 0.38630000000000003, 1.4016, 0.27390000000000003, 0.3544, 0.7227, 1.4079000000000002, -0.003, -0.0017000000000000001, -0.097, -0.002, -0.6464000000000001, 1.3919000000000001, 0.2151, 1.39400000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(9)) + 8.0 * Z(3) + 11.0 * Z(2) + 9.5 * Z(5) + -7.0 * Z(1) + 2.0 * Z(4) + -3.0 * Z(7) + 9.0 * Z(8) + 15.5 * Z(9) + 10.0 * Z(10)... | 18 | 11 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["11101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(1.0277) q[0];
rx(0.0032) q[1];
rz(0.9095) q[1];
rx(0.7359) q[2];
rz(0.3863) q[2];
rx(1.4016) q[3];
rz(0.2739) q[3];
rx(0.3544) q[4];
rz(0.7227) q[4];
rx(1.4079) q[5];
rz(-0.003) q[5];
rx(-0.0017) q[6];
rz(-0.097) q[6];
rx(-0.002) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
99b9f292e0807babec03416b96e514f4 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -0.8905976025033291, "params": [[0.0781], [-0.0834]], "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 10, "probabilities": [0.00557278965889555, 0.005851028624653681], "optimization_time": 0.5376794338226318} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1562) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2343) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0781) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2343) q[4];
cx q[2], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[3], q[2]... | {"node": 8} | {"circuits": [], "gradients": []} |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.030782266198321334, "params": [[0.0308], [-0.0218]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.01583597503434314, 0.01583597503434314], "optimization_time": 1.4504098892211914} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 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": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0308) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0308) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0308) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0308) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0308... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134296, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 52.6119921207428} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[3];
ry(1.0726) q[2];
ry(0.5017) q[3];
cry(1.5708) q[2], q[1];
cry(1.5708) q[2], q[4];
cry(1.5708) q[3], q[5];
cry(-1.0416) q[4], q[2];
cry(-0.0142) q[3], q[2];
cry(-0.0242) q[1], q[2];
cry(-0.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], 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 \... |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 249.77853918075562} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | 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];
ry(1.5706) q[11];
ry(1.5681) q[7];
ry(1.5681) q[3];
ry(1.5486) q[1];
ry(1.4449) q[9];
cry(-1.0341) q[0], q[2];
cry(-1.0315) q[8], q[6];
ry(1.067) q[8];
cry(-0.7... | null | {"number_of_colors": 3} | {"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];\nry(1.5706) q[11];\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];... |
5dad688a93671469362a3d3d00961b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 12.683220148086548} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[3];
cry(-0.0027) q[4], q[2];
cry(-0.0005... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-5308694968430966832 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [4, 7], [3, 4, 5], [1, 7], [0, 2, 4]]} | {"states": [122, 181], "expectation_value": -0.4477745428011749, "params": [[-0.2666], [0.2781]], "bitstrings": ["10000101", "01001010"], "total_optimization_steps": 30, "probabilities": [0.008186584149184592, 0.008192448335230335], "optimization_time": 6.054579973220825} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["10000101", "01001010"]} | 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[3], q[0];
rz(-0.0889) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.0889) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0889) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(-0.0889) q[4];
cx q[3], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
caf35114cd2a6c8ee1f15868fb61caaf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [31, 95], "expectation_value": -2.4077582421945363, "params": [-0.0059, 0.1819, 0.0013000000000000002, 0.24100000000000002, 0.0907, 0.14300000000000002, 0.0878, 0.1457, 0.1831, 0.13290000000000002, 0.1834, 0.15460000000000002, 0.2298, 0.06520000000000001, 0.2278, 0.0766, 0.0748, 0.1381, 0.0745, 0.1443, 0.301... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(7)) + -0.125 * (Z(0) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.12... | 7 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100010", "1011000001", "1100101000", "1101000100", "1101000001", "1010100010", "1101100000", "1110100000", "101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0059) q[0];
rz(0.1819) q[0];
rx(0.0907) q[1];
rz(0.143) q[1];
rx(0.1831) q[2];
rz(0.1329) q[2];
rx(0.2298) q[3];
rz(0.0652) q[3];
rx(0.0748) q[4];
rz(0.1381) q[4];
rx(0.3014) q[5];
rz(0.0108) q[5];
rx(0.304) q[6];
rz(0.0015) q[6];
rx(0.3051) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 83.11861300468445} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[1];
cry(-1.5708) q[3], q[6];
cry(-1.5701) q[5], q[2];
ry(1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(0.5204) q[5];
ry(-0.3719) q[2];
ry(0.423) q[6];
cry(-0.4899) q[6], q[3];
cry(0.3496) q[4], ... | null | {"k": 4} | {"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(-1.4894) 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", ... |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 2.243494749069214} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-0.1259) q[1], q[2];
cry(0.1217) q[1], q[0];
cry(0.1214) q[0], q[1];
cry(-0.0005) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -0.12973330130863114, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["01", "11"], "total_optimization_steps": 10, "probabilities": [0.2620134619254166, 0.26441313243903314], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 3 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0402) q[0];
cx q[1], q[0];
rz(0.0804) q[0];
rz(0.0804) q[1];
h q[0];
rz(0.1104) q[0];
h q[0];
h q[1];
rz(0.1104) q[1];
h q[1];
cx q[1], q[0];
rz(-0.0282) q[0];
cx q[1], q[0];
rz(0.0564) q[0];
rz(0.0564) q[1];
h q[0];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x1) q... | null | {"circuits": [], "gradients": []} |
c318eeb7eb4d2406be835b244ee73c46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3525, 3557], "expectation_value": -4.037803316890082, "params": [[[3.1619, 0.0097], [3.1619, 0.0008], [0.0023, 0.006500000000000001], [3.1614, 0.0008], [3.1617, 0.0006000000000000001], [3.1581, 0.007], [1.6702000000000001, 0.0092], [-0.007200000000000001, 0.0071], [0.0025, 0.0083], [3.1580000000000004, 0.00... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["001000011010", "001000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1619) q[0];
rz(0.0097) q[0];
rx(3.1619) q[1];
rz(0.0008) q[1];
rx(0.0023) q[2];
rz(0.0065) q[2];
rx(3.1614) q[3];
rz(0.0008) q[3];
rx(3.1617) q[4];
rz(0.0006) q[4];
rx(3.1581) q[5];
rz(0.007) q[5];
rx(1.6702) q[6];
rz(0.0092) q[6];
rx(-0.0072) 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": []} |
3fa23bf7f5997a6a9414c1a1e69c52c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [934, 935], "expectation_value": -1.6246211983740737, "params": [0.1237, 0.1221, 0.39730000000000004, 0.40490000000000004, 0.3936, 0.40090000000000003, 0.3356, 0.33340000000000003, 0.1776, 0.1784, 0.3976, 0.3977, 0.0663, 0.0592, 0.1822, 0.17800000000000002, 0.4005, 0.3986, 0.3962, 0.3937, 0.274, 0.2692, 0.11... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 14 | 11 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011100", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1237) q[0];
ry(0.3973) q[1];
ry(0.3936) q[2];
ry(0.3356) q[3];
ry(0.1776) q[4];
ry(0.3976) q[5];
ry(0.0663) q[6];
ry(0.1822) q[7];
ry(0.4005) q[8];
ry(0.3962) q[9];
ry(0.274) q[10];
crx(0.3241) q[10], q[0];
crx(0.3123) q[9], q[10];
crx(-0.1495) q[8], 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... | null | {"circuits": [], "gradients": []} |
88581816fb6e97027c4dcc636c8ecee6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target":... | {"states": [0, 504], "expectation_value": -14.061384193220686, "params": [-0.3129, -0.38380000000000003, 0.7367, 0.0025, 0.9341, 1.1117000000000001, -0.8350000000000001, 0.0041, 0.9964000000000001, 1.3723, 0.47800000000000004, 0.0095, -0.9401, 1.4541000000000002, 0.07490000000000001, 0.0036000000000000003, -0.9344, 1.7... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.5 * Z(8) + -... | 6 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.3129) q[0];
rz(-0.3838) q[0];
rx(0.9341) q[1];
rz(1.1117) q[1];
rx(0.9964) q[2];
rz(1.3723) q[2];
rx(-0.9401) q[3];
rz(1.4541) q[3];
rx(-0.9344) q[4];
rz(1.7473) q[4];
rx(-0.7263) q[5];
rz(1.923) q[5];
rx(-0.0015) q[6];
rz(2.2925) q[6];
rx(-0.0016) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -1.9702340213411025, "params": [[-0.1416], [0.1494]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 20, "probabilities": [0.009830335741712706, 0.010946548547485557], "optimization_time": 2.16900372505188} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0708) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.2124) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.2124) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.1416) q[1];
cx q[4], q[1];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [5, 1], "expectation_value": -8.105676440264595, "params": [[[0.0033, 0.35750000000000004], [0.0024000000000000002, 0.45080000000000003], [0.0018000000000000002, 0.4561], [0.0022, 0.38580000000000003], [0.45990000000000003, -0.0057], [0.0034000000000000002, 0.43920000000000003], [0.6079, 0.004]], [[0.0018000... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.3575) q[0];
rx(0.0024) q[1];
rz(0.4508) q[1];
rx(0.0018) q[2];
rz(0.4561) q[2];
rx(0.0022) q[3];
rz(0.3858) q[3];
rx(0.4599) q[4];
rz(-0.0057) q[4];
rx(0.0034) q[5];
rz(0.4392) q[5];
rx(0.6079) q[6];
rz(0.004) q[6];
rx(0.0018) q[0];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9b8c0ccb32d0f88d964f624767035a96 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 23.13545060157776} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
cry(-1.5681) q[7], q[3];
ry(-1.5706) q[2];
cry(-1.5708) q[7], q[5];
cry(1.4449) q[7], q[4];
ry(0.1188) q[4];
cry(-0.0027) q[4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-8672227185390543395 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5, 6], [0, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 7], [1, 3, 5, 6, 7]]} | {"states": [231, 175], "expectation_value": -0.44664794186055135, "params": [0.905, 0.002, 0.9011, 0.0017000000000000001, 0.9024000000000001, 0.0021000000000000003, 0.8987, 0.0014, 0.8937, -0.0008, 0.8977, 0.004200000000000001, 0.8914000000000001, 0.0022, 0.891, 0.0023, 0.903, 0.0021000000000000003, 0.9028, 0.003400000... | 0.13095238095238093 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.09761904761904762 * (Z(0) @ Z(4)) + 0.047619047619047616 * (Z(0) @ Z(1)) + 0.0738095238095... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.030952380952381], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0309523809523808, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.905) q[0];
rz(0.002) q[0];
rx(0.9024) q[1];
rz(0.0021) q[1];
rx(0.8937) q[2];
rz(-0.0008) q[2];
rx(0.8914) q[3];
rz(0.0022) q[3];
rx(0.903) q[4];
rz(0.0021) q[4];
rx(0.8991) q[5];
rz(0.0018) q[5];
rx(0.9005) q[6];
rz(-0.0022) q[6];
rx(0.9014) 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": []} |
79f35b6d03d414c940de063a7b2cae82 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [154, 158], "expectation_value": -2.559662600711816, "params": [0.6062000000000001, 0.0009000000000000001, 0.2916, 0.0002, 0.7049000000000001, -0.0012000000000000001, 0.7049000000000001, 0.0016, 0.2617, -0.0023, 0.23390000000000002, 0.0002, 0.6998000000000001, 0.0007, 0.43410000000000004, 0.004, 0.7070000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(6) + -1.0 * Z(0) + 0.0 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100000", "101100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6062) q[0];
rz(0.0009) q[0];
rx(0.7049) q[1];
rz(-0.0012) q[1];
rx(0.2617) q[2];
rz(-0.0023) q[2];
rx(0.6998) q[3];
rz(0.0007) q[3];
rx(0.707) q[4];
rz(-0.0002) q[4];
rx(0.7099) q[5];
rz(0.0013) q[5];
rx(0.7115) q[6];
rz(0.0001) q[6];
rx(0.6992) 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": []} |
-1134279149863488685 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 7, 8, 9, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 9], [1, 2, 6, 9, 10], [1, 3, 4, 5, 6, 9, 10], [1, 6, 7, 8, 9], [0, 1, 2, 5, 6, 7, 9], [0, 1, 2, 3, 5, 7, 9], [1, 3, 6, 7]]} | {"states": [1643, 1771], "expectation_value": -1.6590642257108903, "params": [1.5759, 1.57, 1.5645, 1.5714000000000001, 0.1034, 0.09580000000000001, 0.8415, 0.8541000000000001, 1.5464, 1.5915000000000001, 1.4793, 1.4777, 0.336, 0.2454, 1.8955000000000002, 1.2456, 0.0422, 0.0375, 1.1807, 1.9623000000000002, 1.5701, 1.57... | 0.07936507936507936 * (Z(0) @ Z(1)) + 0.12936507936507935 * (Z(3) @ Z(1)) + 0.09047619047619047 * (Z(3) @ Z(0)) + 0.14484126984126983 * (Z(4) @ Z(1)) + 0.04880952380952381 * (Z(4) @ Z(0)) + 0.04880952380952381 * (Z(4) @ Z(3)) + 0.05555555555555555 * (Z(5) @ Z(1)) + 0.04285714285714286 * (Z(5) @ Z(0)) + 0.04285714285714... | 13 | 11 | 1 | {"smallest_eigenvalues": [-1.7333333333333338, -1.7333333333333338], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.7222222222222223, "smallest_bitstrings": ["00100000101", "00100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5759) q[0];
ry(1.5645) q[1];
ry(0.1034) q[2];
ry(0.8415) q[3];
ry(1.5464) q[4];
ry(1.4793) q[5];
ry(0.336) q[6];
ry(1.8955) q[7];
ry(0.0422) q[8];
ry(1.1807) q[9];
ry(1.5701) q[10];
crz(0.0021) q[10], q[0];
crz(0.0028) q[9], q[10];
crz(1.1325) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8f21ecaec272429f1bdc72f298b44a30 | 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": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810101, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 27.267996311187744} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5708) q[3], q[1];
cry(1.5706) q[3], q[2];
cry(0.9505) q[2], q[3];
cry(1.5701) q[3], q[4];
cry(-1.5651) q[4], q[0];
ry(-0.3015) q[2];
cry(0.4049) q[2], q[1];
cry(0.2513) q[1], q[2];
cry(-0.1436) q[4], q[2];
cry(-0.5... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], 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;\nqu... |
3595421765999138570 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 8, 10], [1, 4], [1, 5], [9, 6], [8, 7]]} | {"states": [245, 1524], "expectation_value": -2.0557268471749466, "params": [[[1.5727, 1.4393], [1.0728, 1.2950000000000002], [-1.5643, 1.5705], [0.0026000000000000003, 1.5704], [0.0029000000000000002, 0.002], [-0.0035, 0.0037], [-0.0932, 0.0721], [1.8883, 1.2603], [1.5736, 1.5679], [1.5736, -0.9558000000000001], [1.57... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.03333333333333... | 15 | 11 | 1 | {"smallest_eigenvalues": [-2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.1999999999999997, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5727) q[0];
ry(1.0728) q[1];
ry(-1.5643) q[2];
ry(0.0026) q[3];
ry(0.0029) q[4];
ry(-0.0035) q[5];
ry(-0.0932) q[6];
ry(1.8883) q[7];
ry(1.5736) q[8];
ry(1.5736) q[9];
ry(1.5727) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 190.84192824363708} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[3];
ry(22.4081) q[2];
ry(-16.7951) q[6];
ry(-0.703) q[1];
cry(-50.9499) q[3], q[2];
cry(6.8919) q[6], q[2];
ry(18.2395) q[0];
cry(-40.388) q[3], q[1];
cry(-43.5144) q[6], q[1];
ry(-0.... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... |
222da723e9a46931eb34c7c524cc180a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [129, 1], "expectation_value": -0.07659486232974243, "params": [[0.042300000000000004], [-0.0303]], "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.001060837028569648, 0.0010635361498715138], "optimization_time": 3.199218988418579} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1001111110", "1101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.0212) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0635) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0212) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(-0.0423) q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
b35b67be6f13e1c7d0fe900b84e9f3d0 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [90, 83], "expectation_value": -4.999144849564495, "params": null, "bitstrings": ["0100101", "0101100"], "total_optimization_steps": 36, "probabilities": [0.06552939467911352, 0.9338659442782039], "optimization_time": 38.316272020339966} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"]} | 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(-1.5681) q[1];
ry(1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[2];
cry(-1.0343) q[6], q[3];
ry(0.7003) q[6];
ry(-0.4549) q[3];
cry(0.4963) q[5], q[6];
cry(-0.3789) q[5], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
3ad034d15769a67626e0c170fe64b71c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [509, 508], "expectation_value": -24.482586690806542, "params": [[[-0.0026000000000000003, 2.7063], [-0.0027, -0.0026000000000000003], [-0.0032, -0.003], [-0.0023, -0.0031000000000000003], [-0.0031000000000000003, 0.003], [-0.0028, 0.0028], [-0.0028, 0.0029000000000000002], [1.6412, 1.6408], [0.0023, -0.9596... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0026) q[0];
ry(-0.0027) q[1];
ry(-0.0032) q[2];
ry(-0.0023) q[3];
ry(-0.0031) q[4];
ry(-0.0028) q[5];
ry(-0.0028) q[6];
ry(1.6412) q[7];
ry(0.0023) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [21, 42], "expectation_value": -0.10216137434239503, "params": [[0.06520000000000001], [-0.0614]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.017390228726463355, 0.01739022872646336], "optimization_time": 1.4255075454711914} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"]} | 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(0.0652) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0652) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0652) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0652) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.0652... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
-3836552969264634220 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [9, 5], [0, 1], [1, 6], [8, 7], [1, 2], [8, 4], [8, 6], [1, 5], [6, 7], [9, 3], [4, 5], [5, 7], [0, 9], [3, 4], [0, 7], [8, 5], [0, 5], [9, 2], [4, 6], [3, 5]]} | {"states": [216, 728], "expectation_value": -2.20642005814069, "params": [0.8957, 0.0429, 0.8973000000000001, 0.0054, 0.5473, -0.06430000000000001, 0.48800000000000004, 0.0079, 0.9051, 0.053700000000000005, 0.9015000000000001, 0.0024000000000000002, 0.9045000000000001, 0.0442, 0.8944000000000001, 0.009000000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["0100100111", "1011011010", "1011011000", "0100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8957) q[0];
rz(0.0429) q[0];
rx(0.5473) q[1];
rz(-0.0643) q[1];
rx(0.9051) q[2];
rz(0.0537) q[2];
rx(0.9045) q[3];
rz(0.0442) q[3];
rx(0.901) q[4];
rz(-0.0868) q[4];
rx(0.9002) q[5];
rz(0.0693) q[5];
rx(0.8964) q[6];
rz(0.075) q[6];
rx(0.8944) 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": []} |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 21.631537914276123} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010110", "1111100", "1010100", "1000110", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[4];
ry(1.5486) q[1];
cry(-1.5486) q[6], q[0];
ry(1.0727) q[6];
cry(-0.5898) q[1], q[0];
cry(1.4448) q[1], q[3];
cry(0.3799) q[1], q[6];
ry(-0.1585) q[0];
cry(0.0908) q[3], q[6];
ry(0.1185) 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];\nry(-1.5706) 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", ... |
d0581e93a19f65d437b5ac853666a984 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [314, 186], "expectation_value": -1.5922556574637121, "params": [[[0.32270000000000004, -0.4161, 0.006500000000000001, 0.0056], [0.5867, 0.44110000000000005, 0.5918, 0.1287], [-0.11410000000000001, 0.3121, -0.0337, 0.2494], [-0.10490000000000001, -0.28, 0.4877, 0.22760000000000002], [0.2386, 0.4647, 0.3043, ... | 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)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 ... | 11 | 9 | 3 | {"smallest_eigenvalues": [-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": 11, "first_excited_energy": -2.125, "smallest_bitstrings": ["101000110", "101000101", "011000101", "010110001", "011010001", "010101010", "011001001", "011001010", "010100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3227) q[0];
rz(-0.4161) q[0];
ry(0.5867) q[1];
rz(0.4411) q[1];
ry(-0.1141) q[2];
rz(0.3121) q[2];
ry(-0.1049) q[3];
rz(-0.28) q[3];
ry(0.2386) q[4];
rz(0.4647) q[4];
ry(0.2359) q[5];
rz(-0.4664) q[5];
ry(0.5472) q[6];
rz(0.2388) q[6];
ry(0.484) 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": []} |
9ff716864ed493369b8a616cc1bbe5c0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [131, 135], "expectation_value": -6.009558753859278, "params": [0.0044, -0.0029000000000000002, 0.29400000000000004, 0.298, 0.8043, 0.8013, 0.16920000000000002, 0.1716, 0.16740000000000002, 0.1656, -0.0031000000000000003, -0.0034000000000000002, 0.006200000000000001, -0.0018000000000000002, 0.8031, 0.7981, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101111010", "1101111000", "1000111101", "1001111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0044) q[0];
ry(0.294) q[1];
ry(0.8043) q[2];
ry(0.1692) q[3];
ry(0.1674) q[4];
ry(-0.0031) q[5];
ry(0.0062) q[6];
ry(0.8031) q[7];
ry(0.8104) q[8];
ry(0.8067) q[9];
crz(-0.0013) q[9], q[0];
crz(0.0009) q[8], q[9];
crz(0.0012) q[7], q[8];
crz(0.4141) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4659426532432976834 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 7, 9, 10, 11], [4, 6], [1, 10], [2, 5], [9, 3], [8, 6]]} | {"states": [2167, 119], "expectation_value": -1.9819378247625696, "params": [0.7742, 0.39590000000000003, 0.766, 0.0061, 0.3735, -0.43060000000000004, 0.35000000000000003, -0.4248, 0.19140000000000001, 0.4944, 0.18510000000000001, 0.0026000000000000003, 0.184, -0.5148, 0.1797, -0.5093, 0.2771, -0.45130000000000003, 0.2... | 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(0)) + 0.05 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(0)) + 0.05 * (Z(10) @ Z(9)) + 0.05 * (Z(11) @ Z(7)) + 0.05 * (Z(11) @ Z(0)) + 0.05 * (Z(11) @ Z(9)) + 0.05 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7742) q[0];
rz(0.3959) q[0];
rx(0.3735) q[1];
rz(-0.4306) q[1];
rx(0.1914) q[2];
rz(0.4944) q[2];
rx(0.184) q[3];
rz(-0.5148) q[3];
rx(0.2771) q[4];
rz(-0.4513) q[4];
rx(1.014) q[5];
rz(-0.011) q[5];
rx(1.193) q[6];
rz(-0.0005) q[6];
rx(1.2025) 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": []} |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.10613257082771038, "params": [[-0.027600000000000003, -0.0551, -0.0222], [0.0098, 0.062200000000000005, 0.0438]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.03557906314437828, 0.0368938655944185], "optimization_time": 2.811804056167... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"]} | 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(-0.0276) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0276) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0276) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0276) q[2];
cx q[3], q[2];
rz(0.0276) q[1];
rz(0.0276) ... | 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... | null | {"circuits": [], "gradients": []} |
1e937f731676144e2d48b645bec68c29 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 17, "source": 1, "target": 2}, {"weight":... | {"states": [498, 434], "expectation_value": -84.25260120339308, "params": [0.09720000000000001, 0.25420000000000004, 0.09580000000000001, 0.2526, 0.5314, 0.0654, 0.5274, 0.0434, 0.523, -0.0021000000000000003, 0.5312, -0.0019, 0.17930000000000001, 0.22390000000000002, 0.1802, 0.218, 0.5274, 0.0352, 0.5322, 0.0446, 0.525... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 14.5 * Z(1) + 4.0 * Z(0) + 8.5 * Z(2) + 10.0 * Z(3) + 12... | 7 | 10 | 3 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0972) q[0];
rz(0.2542) q[0];
rx(0.5314) q[1];
rz(0.0654) q[1];
rx(0.523) q[2];
rz(-0.0021) q[2];
rx(0.1793) q[3];
rz(0.2239) q[3];
rx(0.5274) q[4];
rz(0.0352) q[4];
rx(0.5252) q[5];
rz(-0.0138) q[5];
rx(0.0011) q[6];
rz(0.3017) q[6];
rx(0.0042) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
0df4df25c74ca38eb293288a64f6d090 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 145.32900738716125} | 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 | 1 | {"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];
ry(7.7632) q[5];
ry(-5.0831) q[3];
ry(0.2364) q[4];
cry(0.3246) q[5], q[4];
ry(0.0001) q[7];
cry(0.0011) q[5], q[7];
ry(0.0002) q[1];
cry(0.001) q[5], q[1];
cry(0.1278) q[3], q[7];
cry(0.1327) q[3... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... |
f7fee23782dcc5baf3c7964a42b79bf8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1170, 1171], "expectation_value": -139.74215609753958, "params": [[0.7874, -0.0039000000000000003, -0.2972, 0.7882, -0.0026000000000000003, -0.0014, 0.6277, -0.0035, 0.005, 0.898, -0.19540000000000002], [0.7751, -0.0029000000000000002, -0.0489, 0.3885, -0.003, 0.0012000000000000001, 0.6223000000000001, -0.0... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(2)) + -7.0 * Z(1)... | 10 | 11 | 4 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -141.0, "smallest_bitstrings": ["01101101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7874) q[0];
ry(-0.0039) q[1];
ry(-0.2972) q[2];
ry(0.7882) q[3];
ry(-0.0026) q[4];
ry(-0.0014) q[5];
ry(0.6277) q[6];
ry(-0.0035) q[7];
ry(0.005) q[8];
ry(0.898) q[9];
ry(-0.1954) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [135, 391], "expectation_value": -8.56161669614814, "params": null, "bitstrings": ["1101111000", "1001111000"], "total_optimization_steps": 54, "probabilities": [0.21349937262347563, 0.21350275141710437], "optimization_time": 97.2375419139862} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"]} | 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[2];
ry(-1.5681) q[4];
ry(-1.5708) q[6];
cry(-1.5681) q[9], q[0];
ry(-1.57) q[5];
ry(-1.5626) q[3];
ry(0.8443) q[9];
cry(-0.475) q[2], q[0];
cry(1.5509) q[2], q[8];
c... | 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[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]... |
bcb76a333f49b2c8c8530ea62fdc7628 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -52.77075401596664, "params": [0.7825000000000001, -0.303, 1.3913, -0.2013, 1.3936000000000002, -0.049100000000000005, 1.3765, -0.11510000000000001, -0.0037, 0.9650000000000001, 1.3922, -0.005200000000000001, 1.4043, 0.1882, 0.0031000000000000003, 0.8866, 0.7885000000000001, ... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 16.0 * Z(2) + 11.5 * Z(3) + 18.5 * Z(1) + 10.0 * Z(5) + -2.0 * Z(4) + -4.5 * Z(7) + 3.5 * Z(6) | 18 | 8 | 2 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7825) q[0];
rz(-0.303) q[0];
rx(1.3913) q[1];
rz(-0.2013) q[1];
rx(1.3936) q[2];
rz(-0.0491) q[2];
rx(1.3765) q[3];
rz(-0.1151) q[3];
rx(-0.0037) q[4];
rz(0.965) q[4];
rx(1.3922) q[5];
rz(-0.0052) q[5];
rx(1.4043) q[6];
rz(0.1882) q[6];
rx(0.0031) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
508248896174739480 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 10, 5], [2, 5], [0, 8, 3], [10, 11, 6], [9, 4], [8, 4], [11, 5, 7], [11, 3, 12], [2, 3, 12], [10, 3, 7], [1, 4, 12], [8, 1], [2, 10, 4], [3, 6], [0, 2], [12, 5], [4, 5, 7], [9, 12], [8, 9]]} | {"states": [6798, 7054], "expectation_value": -5.681029394656775, "params": [[[2.9928000000000003, 0.0033, 0.005, 0.0022], [-0.0023, 0.5971000000000001, 1.5731000000000002, 0.0029000000000000002], [0.0021000000000000003, 0.0049, 0.006, 0.0016], [0.9597, 0.0023, 1.0946, 0.005], [1.6218000000000001, 0.0041, 0.0005, 0.002... | 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1666... | 12 | 13 | 1 | {"smallest_eigenvalues": [-6.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(2.9928) q[0];
rz(0.0033) q[0];
ry(-0.0023) q[1];
rz(0.5971) q[1];
ry(0.0021) q[2];
rz(0.0049) q[2];
ry(0.9597) q[3];
rz(0.0023) q[3];
ry(1.6218) q[4];
rz(0.0041) q[4];
ry(0.0028) q[5];
rz(0.4854) q[5];
ry(-0.002) q[6];
rz(0.0089) q[6];
ry(2.0945) 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": []} |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 5, "source": 0, "t... | {"states": [206, 198], "expectation_value": -40.73249699887084, "params": [2.4943, 0.0029000000000000002, 2.4943, 0.0035, 0.39130000000000004, 0.005200000000000001, -0.002, 0.0089, 1.4763000000000002, 0.006200000000000001, 2.4954, 0.0046, 2.5008, 0.0032, 0.025, 0.0073, 0.0007, 0.0088, 0.0073, 0.0018000000000000002, 0.0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(1) +... | 3 | 8 | 1 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["00111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.4943) q[0];
rz(0.0029) q[0];
rx(2.4943) q[1];
rz(0.0035) q[1];
rx(0.3913) q[2];
rz(0.0052) q[2];
rx(-0.002) q[3];
rz(0.0089) q[3];
rx(1.4763) q[4];
rz(0.0062) q[4];
rx(2.4954) q[5];
rz(0.0046) q[5];
rx(2.5008) q[6];
rz(0.0032) q[6];
rx(0.025) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-7781209295195269581 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 2, 7], [8, 2, 3, 4], [1, 6], [3, 7], [4, 5, 6], [4, 5, 7], [8, 2, 7], [6, 7]]} | {"states": [202, 210], "expectation_value": -0.029930116522493323, "params": [[0.0459], [-0.0414]], "bitstrings": ["100110101", "100101101"], "total_optimization_steps": 10, "probabilities": [0.0020339813415345353, 0.0020429896809604077], "optimization_time": 0.8490304946899414} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.25 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["100100101", "100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(0.0459) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(0.0153) q[0];
cx q[2], q[0];
cx q[6], q[7];
rz(0.0459) q[7];
cx q[6], q[7];
cx q[2], q[7];
rz(0.0306) q[7];
cx q[2], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -5.261146293996973, "params": [[[0.2604, -0.22490000000000002], [0.29460000000000003, 0.202], [0.3017, -0.195], [0.30760000000000004, -0.18960000000000002], [0.6378, -0.0007], [0.5279, 0.015000000000000001], [0.6504, 0.0005]], [[0.26680000000000004, -0.22490000000000002], [0.2953... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2604) q[0];
rz(-0.2249) q[0];
rx(0.2946) q[1];
rz(0.202) q[1];
rx(0.3017) q[2];
rz(-0.195) q[2];
rx(0.3076) q[3];
rz(-0.1896) q[3];
rx(0.6378) q[4];
rz(-0.0007) q[4];
rx(0.5279) q[5];
rz(0.015) q[5];
rx(0.6504) q[6];
rz(0.0005) q[6];
rx(0.2668) q[0];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 114.7128357887268} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
3669556b5012b2bd0210027af1e5ed26 | 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": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.3592799217202993, "params": [[0.07200000000000001], [-0.0572]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002518013247810518, 0.002559876833240518], "optimization_time": 2.2917227745056152} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(-0.036) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(0.072) q[8];
cx q[0], q[8];
cx q[6], q[2];
rz(-0.072) q[2];
cx q[6], q[2];
cx q[8], q[2];
rz(-0.108) q[2];
cx q[8], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
3bb079244230ecfe3b12b98f791fe70b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [496, 511], "expectation_value": -3.1261161384027654, "params": [[-0.0801], [0.07440000000000001]], "bitstrings": ["000001111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0047236542492150955, 0.004857368535810182], "optimization_time": 0.743109941482544} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000"]} | 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(0.4005) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.4005) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.4005) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.4005) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} |
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -9.264551043551862, "params": [[0.0608, 0.015700000000000002], [-0.0779, -0.0438]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008750863581208954, 0.009446053222353496], "optimization_time": 7.977620840072632} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | 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(0.3344) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3344) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3344) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3344) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | 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": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.732874777595632, "params": [[-0.06810000000000001, -0.0752], [0.0626, 0.07150000000000001]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006735105736149488, 0.006850091401909821], "optimization_time": 3.4545974731445312} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"]} | 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(0.0681) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0681) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0681) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0681) q[5];
cx q[0], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6895805260362288845 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [3, 4], [0, 1, 5], [0, 8, 2], [5, 6, 7]]} | {"states": [219, 235], "expectation_value": -1.9071893060072052, "params": null, "bitstrings": ["100100100", "100010100"], "total_optimization_steps": 60, "probabilities": [0.052221383676608044, 0.8311756634580991], "optimization_time": 96.32740807533264} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["010010011", "100010010", "100010100", "001101000", "000011001", "010010101"... | 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(1.2292) q[5];
cry(-1.0342) q[3], q[4];
ry(1.3116) q[2];
cry(-0.5034) q[2], q[4];
ry(1.1431) q[3];
ry(-0.4328) q[4];
cry(0.3467) q[2], q[3];
cry(0.2388) q[3], q[2];
cry(0.2855) q[2], q[5... | 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(1.2292) 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... |
5016316659782473400 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 3], [1, 3], [2, 4]]} | {"states": [3, 28], "expectation_value": -0.01969476793112441, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["11100", "00011"], "total_optimization_steps": 10, "probabilities": [0.032489597848011684, 0.032489597848011684], "optimization_time": 0.9025614261627197} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "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[2];
rz(0.0551) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(0.0551) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0551) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.0551) q[4];
cx q[2], q[4];
rz(0) q[3];
rz(0) q[2];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx ... | null | {"circuits": [], "gradients": []} |
d75363653ef00cde7e482c2c3392dff7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.23076668044858237, "params": [[0.0665], [-0.06960000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023219329296756317, 0.002365240172481206], "optimization_time": 2.3942806720733643} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.0665) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0333) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0333) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0.0333) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
97a25582d9da2a01a479d6704a1ea86e | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1007], "expectation_value": -1.1366495580949603, "params": [[0.0713], [-0.0731]], "bitstrings": ["0000000000", "0000010000"], "total_optimization_steps": 10, "probabilities": [0.0016153972560438087, 0.001649305854031342], "optimization_time": 1.9151289463043213} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.2852) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.2852) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.2139) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.2852) q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3]... | {"node": 4} | {"circuits": [], "gradients": []} |
bdc39d8330d1d7cee03559144a025856 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [25, 1], "expectation_value": -2.040208423974689, "params": [[-0.0784], [0.07010000000000001]], "bitstrings": ["111100110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0034769505506329484, 0.003637780211445495], "optimization_time": 2.7273361682891846} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.196) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.196) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0784) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2352) q[3];
cx q[0], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4819812130218480791 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 4, 5], [0, 1, 2, 5, 6], [0, 1, 4, 6]]} | {"states": [86, 87], "expectation_value": -1.1500985341833685, "params": [1.2989000000000002, -0.0036000000000000003, 1.2875, 0.0024000000000000002, 1.0644, 0.0041, 0.9292, 0.0029000000000000002, 1.2936, 0.0005, 1.2908000000000002, 0.008400000000000001, 0.8705, 0.0057, 0.8472000000000001, 0.0082, 1.2872000000000001, 0.... | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.133333... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.35, -1.35], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3499999999999996, "smallest_bitstrings": ["1010000", "0101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.2989) q[0];
rz(-0.0036) q[0];
rx(1.0644) q[1];
rz(0.0041) q[1];
rx(1.2936) q[2];
rz(0.0005) q[2];
rx(0.8705) q[3];
rz(0.0057) q[3];
rx(1.2872) q[4];
rz(0.0007) q[4];
rx(1.2928) q[5];
rz(0.0011) q[5];
rx(1.2945) q[6];
rz(0.0038) q[6];
crx(0.0256) 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": []} |
0a9ce5e89c9dcf521e81060472c9eb03 | 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": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -0.19594638750130763, "params": [[0.0761], [-0.06910000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002465217400852591, 0.0025230569376661948], "optimization_time": 2.640273094177246} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(-0.0761) q[0];
cx q[5], q[0];
cx q[5], q[8];
rz(-0.0761) q[8];
cx q[5], q[8];
cx q[0], q[8];
rz(0.1142) q[8];
cx q[0], q[8];
cx q[5], q[1];
rz(-0.0381) q[1];
cx q[5], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f5323ac245282a584737f112386c2702 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"s... | {"states": [8191, 4095], "expectation_value": -57.683674487192704, "params": [[[1.6422, 0.00030000000000000003], [0.0022, 0.0013000000000000002], [-0.0024000000000000002, 0.0082], [-0.0023, 0.002], [-0.0026000000000000003, 0.007500000000000001], [-0.0023, 0.0071], [0.0024000000000000002, 0.0015], [0.0024000000000000002... | 0.5 * (Z(0) @ Z(6)) + -2.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(1)) + -2.0 * (Z(8) @ Z(7)) + -3.5 * (Z(9) @ Z(11)) + -2.5 * (Z(12) @ Z(11)) + -3.5 * (Z(12) @ Z(9)) + -2.5 * (Z(2) @ Z(11)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(2) @ Z(12)) + 0.5 * (Z(3) @ Z(11... | 2 | 13 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["1000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.6422) q[0];
rz(0.0003) q[0];
rx(0.0022) q[1];
rz(0.0013) q[1];
rx(-0.0024) q[2];
rz(0.0082) q[2];
rx(-0.0023) q[3];
rz(0.002) q[3];
rx(-0.0026) q[4];
rz(0.0075) q[4];
rx(-0.0023) q[5];
rz(0.0071) q[5];
rx(0.0024) q[6];
rz(0.0015) q[6];
rx(0.0024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
f6494d29a2885917ea72724ca31dc87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [128, 1], "expectation_value": -16.824600197702246, "params": null, "bitstrings": ["101111111", "111111110"], "total_optimization_steps": 37, "probabilities": [0.07032507868495166, 0.8977220857782333], "optimization_time": 55.11568641662598} | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-0.4397) q[1];
cry(-1.1311) q[8], q[1];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(-1.5708) q[7];
cry(-0.5547) q[0], q[1];
ry(-1.5708) q[4];
ry(-1.5708) q[0];
ry(1.5708) q[8];
cry(-0.2669) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.4397) 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] = ... |
317507523039185204 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [19, 25], "expectation_value": -1.7576928662994087, "params": null, "bitstrings": ["01100", "00110"], "total_optimization_steps": 27, "probabilities": [0.057339231629797066, 0.8271342482087165], "optimization_time": 16.60728359222412} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
ry(-0.6992) q[3];
cry(-0.6534) q[0], q[2];
ry(0.9979) q[4];
cry(1.1473) q[4], q[0];
ry(-0.5076) q[2];
cry(0.4404) q[0], q[1];
cry(0.3932) q[0], q[4];
ry(... | 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];\ncry(-1.0342) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
7f226d208153dcfb632077c65c1f90bf | 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": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.632223443224952, "params": [0.2874, 0.5259, 0.0334, 1.067, 0.6081, 0.6921, -0.29400000000000004, 1.0368, 0.6282, 0.8396, 0.0005, 0.912, 0.644, 0.8993, 0.1129, 0.9705, 0.6328, 1.2549000000000001, -0.038200000000000005, 1.1276000000000002, -0.2018, 0.5929, 0.1247, 0.88630000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2874) q[0];
rz(0.5259) q[0];
rx(0.6081) q[1];
rz(0.6921) q[1];
rx(0.6282) q[2];
rz(0.8396) q[2];
rx(0.644) q[3];
rz(0.8993) q[3];
rx(0.6328) q[4];
rz(1.2549) q[4];
rx(-0.2018) q[5];
rz(0.5929) q[5];
rx(-0.0254) q[6];
rz(0.6913) q[6];
rx(0.0105) 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... | {"node": 3} | {"circuits": [], "gradients": []} |
-5903830051335657599 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [103, 107], "expectation_value": -3.1739709174983863, "params": [0.446, 0.6212, 1.5679, 1.5676, 1.4648, 1.6727, -0.0027, -0.0026000000000000003, -0.8891, -0.8022, 0.6292, 2.4868, 1.6513, 1.5, 1.5430000000000001, 1.5663, 0.4451, 0.26280000000000003, 1.5967, 0.5108, 0.0013000000000000002, -0.0028, -0.0027, 0.0... | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["10010100", "00010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.446) q[0];
ry(1.5679) q[1];
ry(1.4648) q[2];
ry(-0.0027) q[3];
ry(-0.8891) q[4];
ry(0.6292) q[5];
ry(1.6513) q[6];
ry(1.543) q[7];
crx(0.4451) q[7], q[0];
crx(0.5101) q[6], q[7];
crx(-0.3769) q[5], q[6];
crx(-0.9488) q[4], q[5];
crx(-1.5809) q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ab957251534d09507f870c3a6ef42154 | 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": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1445, 1701], "expectation_value": -1.509109298082483, "params": [-0.0079, -0.0135, 0.5243, 0.5307000000000001, 0.7732, 0.7117, 0.4817, 0.4818, -1.4768000000000001, -1.6051, 0.41150000000000003, 0.4021, 0.5219, 0.5283, -0.0811, 0.184, -0.0016, -0.008700000000000001, 0.5252, 0.5275000000000001, -0.0074, 0.008... | 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)... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0079) q[0];
ry(0.5243) q[1];
ry(0.7732) q[2];
ry(0.4817) q[3];
ry(-1.4768) q[4];
ry(0.4115) q[5];
ry(0.5219) q[6];
ry(-0.0811) q[7];
ry(-0.0016) q[8];
ry(0.5252) q[9];
ry(-0.0074) q[10];
ry(0.5267) q[11];
crz(-0.4179) q[11], q[0];
crz(0.3354) q[10], 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8974e5cad06096779812bbdbc32e906b | 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": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.6269906898989601, "params": [[-0.0189, -0.041800000000000004, -0.0434, -0.0522], [-0.0332, 0.0366, 0.0476, 0.058]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.011701869768402462, 0.011781223651820452], "optimization_time": 6.42... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["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];
cx q[6], q[0];
rz(-0.0189) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0189) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(-0.0189) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(-0.0189) q[2];
cx q[1], q[2];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
27c408f36f3749a0af3ff77dddb9a6ea | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [84, 28], "expectation_value": -4.499862355032985, "params": null, "bitstrings": ["0101011", "1100011"], "total_optimization_steps": 32, "probabilities": [1.718470586839912e-05, 0.9999312201793693], "optimization_time": 24.73761749267578} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100011", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.4449) q[0];
ry(-1.4449) q[5];
ry(-1.4449) q[6];
ry(1.4384) q[4];
ry(1.4384) q[3];
ry(1.4384) q[2];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[4], q[6];
cry(-0.1259) q[3], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 187.73110556602478} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[3];
ry(6.5925) q[2];
ry(38.2322) q[6];
ry(18.5827) q[5];
ry(55.6749) q[1];
cry(10.6699) q[6], q[2];
cry(-26.8295) q[6], q[3];
cry(63.6719) q[3], q[5];
cry(-16.3896) q[6], q[5];
ry(-3.... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
3432273595255020415 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 3], [2, 4], [0, 5], [0, 6], [6, 7]]} | {"states": [54, 94], "expectation_value": -2.5625422173461274, "params": null, "bitstrings": ["11001001", "10100001"], "total_optimization_steps": 65, "probabilities": [0.04690501758127854, 0.6568156574638125], "optimization_time": 82.30014204978943} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00110110", "10100001", "11001001", "01011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[0];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[6], q[7];
ry(0.7625) q[6];
cry(-0.7068) q[5], q[0];
cry(1.1319) q[6], q[5];
cry(1.2433) q[5], q[3];
cry(-0.4087) q[3], q[0];
ry(0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
7efca02d91f49e4bd32e9ceac2c5c6eb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [97, 49], "expectation_value": -0.0826097713393303, "params": [[0.034, 0.0356, -0.0434], [-0.0307, -0.0415, -0.0026000000000000003]], "bitstrings": ["0011110", "1001110"], "total_optimization_steps": 10, "probabilities": [0.008508810883038394, 0.0085088108830384], "optimization_time": 3.876347064971924} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111010", "1100101", "1001110", "1000111", "1110001", "0111001", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.034) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.034) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.034) q[4];
cx q[2], q[4];
cx q[4], q[1];
rz(0.034) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
-4305841559775494919 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 5], [1, 3, 5, 7], [1, 3, 5, 6], [0, 2], [8, 5]]} | {"states": [124, 126], "expectation_value": -1.6647710078627427, "params": null, "bitstrings": ["110000011", "110000001"], "total_optimization_steps": 75, "probabilities": [0.07297342203548865, 0.5828748090395445], "optimization_time": 163.16087436676025} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100000111", "001001000", "110000001", "011010001", "001010111", "001100001"]} | 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(1.3016) q[3];
cry(-1.0342) q[5], q[8];
ry(0.9267) q[5];
ry(-0.6309) q[8];
cry(-1.0525) q[2], q[0];
cry(0.4611) q[3], q[5];
ry(0.7064) q[2];
ry(-0.4801) q[0];
cry(0.5069) q[3], q[2];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3016) 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] = m... |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -1.5785198321516056, "params": [[0.059000000000000004, 0.0375, 0.0711], [-0.0661, -0.030100000000000002, -0.0463]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.030877095346049772, 0.03135012571953733], "optimization_time": 2.7685554027... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.1475) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.177) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0295) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0295) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a38227ca05bb5e1c3110df61e15475e5 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21866, 43669], "expectation_value": -0.11743109883142018, "params": [[-0.1819], [0.1757]], "bitstrings": ["1010101010010101", "0101010101101010"], "total_optimization_steps": 20, "probabilities": [2.419777501056001e-05, 2.4197775010560023e-05], "optimization_time": 18.805457830429077} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0216796874999727], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216796874999425, "smallest_bitstrings": ["0101010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.091) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0004) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0004) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d06b5679e2be320273eb90aa2db95162 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [164, 166], "expectation_value": -4.651038154344415, "params": [[0.789, -0.0068000000000000005, 0.7827000000000001, 0.0032, -0.0635, 1.1007, 0.0732, -0.002], [0.7851, -0.0034000000000000002, 0.7809, -0.0029000000000000002, -0.09190000000000001, 1.0981, 0.6738000000000001, -0.0019], [0.7833, -0.00260000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(7) + 0.0 * Z(2) + -1.0 * Z(5) + -1.0 * Z(6) + -0.... | 10 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011001", "10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.789) q[0];
ry(-0.0068) q[1];
ry(0.7827) q[2];
ry(0.0032) q[3];
ry(-0.0635) q[4];
ry(1.1007) q[5];
ry(0.0732) q[6];
ry(-0.002) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [120, 105], "expectation_value": -2.844103864995406, "params": null, "bitstrings": ["0000111", "0010110"], "total_optimization_steps": 45, "probabilities": [0.07574251269908065, 0.7565050367377619], "optimization_time": 50.29808282852173} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | 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(-1.5486) q[5];
cry(-1.3016) q[6], q[2];
cry(-1.3016) q[3], q[4];
ry(1.2944) q[0];
ry(0.7836) q[3];
ry(-0.532) q[4];
ry(0.6765) q[6];
ry(-0.5899) q[2];
cry(1.146) q[3], q[1];
cry(0.5993) q[0], q[6];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5486) 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", ... |
5309148990881866697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [2, 3], [0, 5], [3, 6], [4, 6], [1, 6], [0, 1], [1, 2]]} | {"states": [46, 81], "expectation_value": -0.03560439056641736, "params": [[-0.0427], [0.052500000000000005]], "bitstrings": ["1010001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008379898567148797, 0.008379898567148797], "optimization_time": 1.3873820304870605} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110", "1010001"]} | 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[5];
rz(-0.0427) q[5];
cx q[6], q[5];
cx q[6], q[3];
rz(-0.0427) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(-0.0427) q[2];
cx q[3], q[2];
cx q[5], q[0];
rz(-0.0427) q[0];
cx q[5], q[0];
cx q[6], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[0];
... | null | {"circuits": [], "gradients": []} |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [282, 346], "expectation_value": -1.9794068968017067, "params": [[[0.5977, -0.0025], [0.1865, -0.0041], [0.6023000000000001, -0.0557], [-0.015600000000000001, -0.0495], [0.6086, 0.2424], [0.5997, 0.1729], [0.18460000000000001, -0.1418], [0.3896, 0.5937], [0.5899, -0.018600000000000002]], [[0.5842, 0.0415], [... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["010100110", "010100101", "001100101", "100100101", "011100100", "010110010", "010101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5977) q[0];
ry(0.1865) q[1];
ry(0.6023) q[2];
ry(-0.0156) q[3];
ry(0.6086) q[4];
ry(0.5997) q[5];
ry(0.1846) q[6];
ry(0.3896) q[7];
ry(0.5899) q[8];
cx q[8], q[0];
cx q[7], q[8];
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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
711ad2e2f8a4e054441bc38b2a916b46 | 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": [174, 302], "expectation_value": -93.73761825347299, "params": [0.0028, 0.6976, 1.576, 0.6393, 1.7552, -0.36150000000000004, -0.0027, 2.0798, 1.5670000000000002, 0.1655, 0.0023, 1.7574, 1.5723, 0.003, 1.5687, 0.0032, 1.9099000000000002, -0.431, -0.0029000000000000002, -0.0589, 0.0026000000000000003, 0.006900... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(3) @ Z(8)) + 0.0 * Z(1) + 3.5 * Z(2) + 8.5 * Z(4) + -4.5 * Z(5) + 19.5 * Z(6) + 7.5 * Z(9) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["1011010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0028) q[0];
rz(0.6976) q[0];
rx(1.576) q[1];
rz(0.6393) q[1];
rx(1.7552) q[2];
rz(-0.3615) q[2];
rx(-0.0027) q[3];
rz(2.0798) q[3];
rx(1.567) q[4];
rz(0.1655) q[4];
rx(0.0023) q[5];
rz(1.7574) q[5];
rx(1.5723) q[6];
rz(0.003) q[6];
rx(1.5687) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
faf2b7fc4343189ac2e56cc09666a273 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [971, 963], "expectation_value": -5.724965748389505, "params": [[-0.1643], [0.1708]], "bitstrings": ["0000110100", "0000111100"], "total_optimization_steps": 20, "probabilities": [0.006242861273661962, 0.006890344610816737], "optimization_time": 2.7994961738586426} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["0000111100"]} | 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(0.6572) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.6572) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.6572) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3286) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1]... | {"node": 8} | {"circuits": [], "gradients": []} |
2f31ddb9c26310a1bd4af8e197801efe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [236, 173], "expectation_value": -20.66065050269296, "params": [[-0.0323, 0.009300000000000001], [0.07680000000000001, 0.067]], "bitstrings": ["100010011", "101010010"], "total_optimization_steps": 10, "probabilities": [0.0061026156254758435, 0.006999388676236006], "optimization_time": 3.0707852840423584} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 18.5 * Z(1) + -2.0 * Z(0) + 7.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["101010010"]} | 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(-0.323) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.323) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.323) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.323) 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] 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]}"} | {"circuits": [], "gradients": []} |
4106138224803273353 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3], [11, 5], [0, 2], [1, 5], [10, 2], [9, 1], [1, 6], [3, 6], [1, 4], [2, 5], [9, 11], [6, 7], [10, 5], [5, 6], [3, 7], [11, 3], [4, 5], [11, 4], [0, 1], [8, 1], [2, 6], [1, 7]]} | {"states": [2687, 2683], "expectation_value": -0.759595852247681, "params": [0.9840000000000001, 0.9891000000000001, 0.5909, 0.5913, 0.9571000000000001, 0.9584, 0.614, 0.6165, 0.5884, 0.5890000000000001, 0.9504, 0.9511000000000001, 0.9554, 0.9557, 0.9603, 0.9604, 0.9372, 0.9407000000000001, 0.7334, 0.7316, 0.9857, 0.99... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8... | 13 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -5.0, "smallest_bitstrings": ["100001110111", "101001101011", "000011110111", "100011110111", "010110010100", "011100001000", "010110000100", "1010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.984) q[0];
ry(0.5909) q[1];
ry(0.9571) q[2];
ry(0.614) q[3];
ry(0.5884) q[4];
ry(0.9504) q[5];
ry(0.9554) q[6];
ry(0.9603) q[7];
ry(0.9372) q[8];
ry(0.7334) q[9];
ry(0.9857) q[10];
ry(0.9639) q[11];
crz(-0.0877) q[11], q[0];
crz(-0.0065) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
1dfc8624fda96162c7d1b6eca3607f2c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 7, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -96.58505741791912, "params": [0.0057, 0.3599, 0.0007, 0.3634, 0.5252, 0.0221, 0.5274, 0.006500000000000001, 0.0037, 0.3317, 0.0036000000000000003, 0.33130000000000004, 0.5247, 0.0135, 0.5222, 0.004200000000000001, 0.1585, 0.23370000000000002, 0.1573, 0.2366, 0.52760000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 21.0 * Z(1) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0057) q[0];
rz(0.3599) q[0];
rx(0.5252) q[1];
rz(0.0221) q[1];
rx(0.0037) q[2];
rz(0.3317) q[2];
rx(0.5247) q[3];
rz(0.0135) q[3];
rx(0.1585) q[4];
rz(0.2337) q[4];
rx(0.5276) q[5];
rz(0.0501) q[5];
rx(-0.0021) q[6];
rz(0.2842) q[6];
rx(0.5327) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
5f9b75a11ee0488aded9e68068b4bda7 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.024258582671741975, "params": [[0.07730000000000001], [-0.07980000000000001]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6816872228884835e-05, 1.6816872228884845e-05], "optimization_time": 13.18793821334... | 0.25 * (Z(0) @ Z(1)) + 0.0005859375000000001 * (Z(2) @ Z(0)) + 0.0005859375000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001953125 * (Z(4) @ Z(0)) + -0.00126953125 * (Z(4) @ Z(2)) + 0.0001953125 * (Z(5) @ Z(1)) + -0.00126953125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0011718750000000002 * (Z(6) @ Z(0)) + -0... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.016406249999974], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0164062499999376, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0387) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
cb2d5cacc34fdd8ea2bb854f18413d55 | 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": [3228, 3224], "expectation_value": -147.59577481806403, "params": [1.3003, 0.007200000000000001, 1.2983, 0.2599, 0.3604, 0.523, -0.0021000000000000003, 0.8179000000000001, 1.306, 0.014700000000000001, -0.0032, 0.7822, 0.2967, -0.4591, 1.2955, -0.0088, 1.3005, 0.06860000000000001, 0.7527, 0.224, -0.0018000000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10)... | 18 | 12 | 2 | {"smallest_eigenvalues": [-178.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["001101100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3003) q[0];
rz(0.0072) q[0];
rx(1.2983) q[1];
rz(0.2599) q[1];
rx(0.3604) q[2];
rz(0.523) q[2];
rx(-0.0021) q[3];
rz(0.8179) q[3];
rx(1.306) q[4];
rz(0.0147) q[4];
rx(-0.0032) q[5];
rz(0.7822) q[5];
rx(0.2967) q[6];
rz(-0.4591) q[6];
rx(1.2955) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
-2734888469241241909 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [0, 5], [4, 6], [3, 4], [0, 1], [1, 3], [2, 4], [1, 4], [1, 2]]} | {"states": [102, 38], "expectation_value": -0.005351614510876554, "params": [[[1.5501, 0.0013000000000000002], [1.6085, 0.008700000000000001], [1.5089000000000001, 0.0092], [1.5374, 0.0092], [1.6191, 0.0097], [1.612, 0.0004], [1.5005000000000002, 0.0039000000000000003]]], "bitstrings": ["0011001", "1011001"], "total_op... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011011", "1000100", "1100100", "0101011", "1010100", "0111011", "0100110", "1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.5501) q[0];
rz(0.0013) q[0];
rx(1.6085) q[1];
rz(0.0087) q[1];
rx(1.5089) q[2];
rz(0.0092) q[2];
rx(1.5374) q[3];
rz(0.0092) q[3];
rx(1.6191) q[4];
rz(0.0097) q[4];
rx(1.612) q[5];
rz(0.0004) q[5];
rx(1.5005) q[6];
rz(0.0039) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
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