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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 16.14678430557251} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
459811ecea835181cb936b26391c2fbd | 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": [679, 675], "expectation_value": -103.39025259530261, "params": [0.0027, -0.7177, 1.0003, -0.1033, 0.3552, -0.1908, 0.999, 0.0471, -0.0027, 0.6304000000000001, 0.9988, 0.2642, 0.1922, 0.4988, -0.0019, -0.5187, 0.4546, 0.3124, 0.993, 0.0142, 0.9917, 0.006, 0.0022, -0.7334, 0.9943000000000001, -0.1210000000000... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(10)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(10)) + 7.0 * (Z(9) @ Z(8)) + 16.0 * Z(3) + 8.0 * Z(2) + 13.5 * Z(1) + -5.5 * Z(4) ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["10101011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(-0.7177) q[0];
rx(1.0003) q[1];
rz(-0.1033) q[1];
rx(0.3552) q[2];
rz(-0.1908) q[2];
rx(0.999) q[3];
rz(0.0471) q[3];
rx(-0.0027) q[4];
rz(0.6304) q[4];
rx(0.9988) q[5];
rz(0.2642) q[5];
rx(0.1922) q[6];
rz(0.4988) q[6];
rx(-0.0019) 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]}"} | {"circuits": [], "gradients": []} |
b85bee69825363dbbbe7929bab4cfbbc | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 8}, {"capac... | {"states": [1022, 1], "expectation_value": -1.0144748885697448, "params": [[-0.07060000000000001], [0.0714]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016943444311910037, 0.0018484556973201313], "optimization_time": 9.386195182800293} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1765) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.1765) q[5];
cx q[1], q[5];
cx q[1], q[8];
rz(0.1059) q[8];
cx q[1], q[8];
cx q[5], q[8];
rz(0.0353) 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] 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[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [31979, 32235], "expectation_value": -18.768838976277035, "params": [-0.0074, -0.0037, 0.3916, 0.40140000000000003, 0.3965, 0.39640000000000003, 0.38820000000000005, 0.38520000000000004, 0.3884, 0.39130000000000004, 0.3966, 0.4037, 0.018600000000000002, 0.0262, 0.2122, 0.2044, 0.3966, 0.39590000000000003, 0.... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 13 | 16 | 4 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-0.0074) q[0];
ry(0.3916) q[1];
ry(0.3965) q[2];
ry(0.3882) q[3];
ry(0.3884) q[4];
ry(0.3966) q[5];
ry(0.0186) q[6];
ry(0.2122) q[7];
ry(0.3966) q[8];
ry(0.4036) q[9];
ry(0.4223) q[10];
ry(0.1665) q[11];
ry(0.3922) q[12];
ry(0.0013) q[13];
ry(0.3847) q[14... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
e0b12a2c7bc741941f8e6751916ec58b | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -32.1748010691134, "params": [[[0.0019, 1.6097000000000001], [0.0024000000000000002, 0.002], [0.0016, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [0.0022, 0.0018000000000000002], [0.0019, 0.0023], [0.0025, 0.0021000000000000003], [0.002, 0.002], [0.002100000000000... | -3.0 * (Z(0) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + -4.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(9)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + -2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0019) q[0];
ry(0.0024) q[1];
ry(0.0016) q[2];
ry(0.0016) q[3];
ry(0.0022) q[4];
ry(0.0019) q[5];
ry(0.0025) q[6];
ry(0.002) q[7];
ry(0.0021) q[8];
ry(0.0022) q[9];
ry(-0.0025) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 8} | {"circuits": [], "gradients": []} |
b5910a324f048b27c641d80d330b3d22 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 2}, {"weight": 16, "sourc... | {"states": [453, 241], "expectation_value": -19.982205140933583, "params": [[0.0263, 0.0031000000000000003], [-0.0775, -0.0709]], "bitstrings": ["000111010", "100001110"], "total_optimization_steps": 10, "probabilities": [0.005656667291643155, 0.006773413642719639], "optimization_time": 3.303563117980957} | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(3) + 12.0 * Z(0) + 18.0 * Z(2) + 19.5 * Z(1) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100001110"]} | 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(0.263) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.263) q[2];
cx q[3], q[2];
cx q[0], q[2];
rz(0.263) q[2];
cx q[0], q[2];
cx q[3], q[1];
rz(0.263) q[1];
cx q[3], q[1];
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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [10, 42], "expectation_value": -2.3110914501266087, "params": [0.3991, 0.003, 0.0024000000000000002, 0.30310000000000004, 0.401, 0.0041, 0.0063, 0.2235, 0.40890000000000004, 0.007200000000000001, 0.0049, 0.2343, 0.3986, 0.003, 0.002, 0.2962, 0.39930000000000004, 0.0054, -0.0016, 0.3047, 0.40080000000000005, ... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3991) q[0];
rz(0.003) q[0];
rx(0.0024) q[1];
rz(0.3031) q[1];
rx(0.401) q[2];
rz(0.0041) q[2];
rx(0.0063) q[3];
rz(0.2235) q[3];
rx(0.4089) q[4];
rz(0.0072) q[4];
rx(0.0049) q[5];
rz(0.2343) q[5];
crz(-0.2294) q[5], q[4];
crz(0.0064) q[4], q[3];
crz(-0.21... | OPENQASM 3.0;
include "stdgates.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": []} |
47a87bdf07cc47063498596ffad620cd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [15, 1], "expectation_value": -1.0892470124468068, "params": [[0.07050000000000001], [-0.0675]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010950359235032125, 0.011891692539043647], "optimization_time": 1.5605223178863525} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1763) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1763) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.1058) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0705) q[3];
cx q[2], q[3];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a8af5a844c6b7264f669c1b8b9005a26 | 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": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [251, 255], "expectation_value": -2.329265396803596, "params": [[0.0695, 0.077], [-0.0683, -0.0671]], "bitstrings": ["100000100", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0041424068215224425, 0.004230172545315301], "optimization_time": 3.281989812850952} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000100", "100000000", "110011100", "110000100", "110000000", "110010100"]} | 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[8], q[0];
rz(0.0348) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.2085) q[2];
cx q[8], q[2];
cx q[2], q[3];
rz(-0.0695) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0348) q[1];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -1.3463476627082684, "params": [[0.07390000000000001, 0.06620000000000001, 0.0714], [-0.0859, -0.0733, -0.0664]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.030907260024325173, 0.03206173634782224], "optimization_time": 6.39966011047... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0739) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0739) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0739) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0739) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0739... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
295827ef8e8bc1a59c2d5aefad74f913 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capac... | {"states": [1022, 1], "expectation_value": -1.743275039022894, "params": [[-0.07150000000000001], [0.07100000000000001]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0018433523959349592, 0.001939214555896312], "optimization_time": 3.19351863861084} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1788) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1788) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.143) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1788) q[4];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3a47978bfb976fd6248810daacdb4903 | max_flow | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [622, 639], "expectation_value": -3.9902353425461685, "params": [[0.164, 0.1569, -0.0349], [-0.1718, -0.1665, -0.0906]], "bitstrings": ["0110010001", "0110000000"], "total_optimization_steps": 20, "probabilities": [0.008908039240282653, 0.008908039240282661], "optimization_time": 9.816739797592163} | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 3 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | 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[9];
rz(-0.164) q[9];
cx q[3], q[9];
cx q[3], q[4];
rz(0.328) q[4];
cx q[3], q[4];
cx q[9], q[4];
rz(-0.164) q[4];
cx q[9], q[4];
cx q[3], q[5];
rz(0.164) q[5];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a4daa78eacadb4897b1342c199df0ce1 | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [21, 104], "expectation_value": -0.6117669243963367, "params": [[0.0663, 0.0654, 0.051300000000000005, -0.041], [-0.0526, -0.0654, -0.059300000000000005, -0.0228]], "bitstrings": ["1101010", "0010111"], "total_optimization_steps": 10, "probabilities": [0.01241284973599066, 0.012665966669758373], "optimizatio... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001110", "1101001", "1101010", "0011101", "1001101", "0010111", "0011110", "0111001", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.0663) q[0];
cx q[2], q[0];
cx q[4], q[1];
rz(0.0663) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(0.0663) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(0.0663) q[3];
cx q[4], q[3];
cx q[3], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
921479f58efe64e2060ecee8a590e959 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [0, 255], "expectation_value": -9.367354338738028, "params": [[[0.0009000000000000001, 0.647], [-0.0026000000000000003, 0.0004], [-0.0027, -0.0026000000000000003], [-0.0023, -0.0029000000000000002], [-0.0029000000000000002, -0.0031000000000000003], [-0.0031000000000000003, -0.0028], [-0.0031000000000000003, ... | 0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1... | 15 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0009) q[0];
ry(-0.0026) q[1];
ry(-0.0027) q[2];
ry(-0.0023) q[3];
ry(-0.0029) q[4];
ry(-0.0031) q[5];
ry(-0.0031) q[6];
ry(-0.0021) q[7];
ry(-1.7627) 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], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b6e0c3c301837e1bade2ecec75b88187 | 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": [77, 79], "expectation_value": -45.856230564970645, "params": [[[0.8959, 0.4893], [0.2906, 0.40490000000000004], [0.9006000000000001, 0.903], [0.0049, 0.8942], [-0.519, 0.6861], [0.34740000000000004, 0.8954000000000001], [0.0935, 0.9016000000000001], [0.16290000000000002, 0.8882], [-0.8580000000000001, 0.874... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 9.5 * Z(2) + -3.0 * Z(3) + 14.5 * Z(5) + 1.5 * Z(6) + -6.5 * Z(0) + 12.5 * Z(7) + 15.0 * Z(8) + -13.0 * Z(4) | 15 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8959) q[0];
ry(0.2906) q[1];
ry(0.9006) q[2];
ry(0.0049) q[3];
ry(-0.519) q[4];
ry(0.3474) q[5];
ry(0.0935) q[6];
ry(0.1629) q[7];
ry(-0.858) 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];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [89, 101], "expectation_value": -0.2553654746778421, "params": [[-0.0251, -0.0627, -0.06280000000000001, -0.0641], [-0.0316, 0.0562, 0.0626, 0.0674]], "bitstrings": ["0100110", "0011010"], "total_optimization_steps": 10, "probabilities": [0.011911077631613963, 0.011911077631613965], "optimization_time": 11.2... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0126) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0126) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0126) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0126) q[0];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3483292901488262061 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [0, 2, 4], [1, 3], [1, 5]]} | {"states": [50, 39], "expectation_value": -1.4777053795599935, "params": null, "bitstrings": ["001101", "011000"], "total_optimization_steps": 36, "probabilities": [0.042431735019474205, 0.8187730203663679], "optimization_time": 29.611541986465454} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(4) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["011000", "010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.2292) q[4];
cry(-1.0342) q[5], q[1];
ry(0.7003) q[5];
cry(-0.7092) q[3], q[1];
cry(1.164) q[5], q[3];
cry(0.4381) q[3], q[5];
ry(-0.3209) q[1];
cry(-0.6125) q[0], q[2];
ry(0.2899) q[3];
cry(-0.4272) q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) 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 \"stdgat... |
4241967995058416964 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [3, 4], [4, 5], [0, 6], [8, 4], [2, 6], [2, 7], [1, 6], [8, 3], [4, 6], [2, 3], [8, 1], [5, 7], [8, 2], [1, 7], [6, 7], [1, 2], [8, 6], [0, 2], [4, 7], [2, 4], [1, 5], [8, 5], [0, 3]]} | {"states": [332, 108], "expectation_value": -4.205700453568647, "params": null, "bitstrings": ["010110011", "110010011"], "total_optimization_steps": 63, "probabilities": [0.09588526251008275, 0.7006688370525478], "optimization_time": 132.67534470558167} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101100", "110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[4], q[7];
ry(1.3762) q[5];
ry(1.0293) q[6];
cry(-0.9034) q[5], q[8];
cry(-0.7681) q[6], q[7];
ry(1.395) q[2];
cry(-1.4734) q[2], q[1];
cry(-1.4173) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
2df93713dba52fbc8f2926f6b2fd57be | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [63, 25], "expectation_value": -0.04201131899031936, "params": [[-0.0339], [0.035500000000000004]], "bitstrings": ["11000000", "11100110"], "total_optimization_steps": 10, "probabilities": [0.004086984968226935, 0.004087303745712418], "optimization_time": 1.7980256080627441} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"]} | 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(0.0339) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0169) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(-0.0678) q[7];
cx q[0], q[7];
cx q[2], q[3];
rz(0.0339) q[3];
cx q[2], q[3];
cx 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;
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],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5d969f3e881e7d52d3f80c9e7cdea154 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"sour... | {"states": [393, 425], "expectation_value": -2.7917136204389097, "params": [1.6744, 0.0077, 1.8079, 0.0098, 0.36010000000000003, 0.009000000000000001, 1.6526, 0.0016, 0.3534, 0.0011, 1.8079, 0.004200000000000001, -0.0193, 0.009000000000000001, 0.47300000000000003, 0.0085, 1.7984, 0.0031000000000000003, 0.00520000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(8) + -0.5 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6744) q[0];
rz(0.0077) q[0];
rx(1.8079) q[1];
rz(0.0098) q[1];
rx(0.3601) q[2];
rz(0.009) q[2];
rx(1.6526) q[3];
rz(0.0016) q[3];
rx(0.3534) q[4];
rz(0.0011) q[4];
rx(1.8079) q[5];
rz(0.0042) q[5];
rx(-0.0193) q[6];
rz(0.009) q[6];
rx(0.473) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2265773524875199093 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6], [0, 3, 5, 7], [3, 4, 6], [2, 3, 5], [0, 2, 4, 6, 7], [1, 2, 5, 6, 7], [0, 5, 6], [0, 1, 3, 4, 7], [1, 2, 4, 5, 6]]} | {"states": [178, 179], "expectation_value": -0.07301666303057518, "params": [[-0.057100000000000005], [0.07300000000000001]], "bitstrings": ["01001101", "01001100"], "total_optimization_steps": 10, "probabilities": [0.004097899630812828, 0.0041075918500265395], "optimization_time": 1.142676591873169} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(0)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.05, "smallest_bitstrings": ["01001100"]} | 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[1];
rz(-0.0247) q[1];
cx q[3], q[1];
cx q[3], q[6];
rz(-0.0381) q[6];
cx q[3], q[6];
cx q[1], q[6];
rz(-0.0305) q[6];
cx q[1], q[6];
cx q[3], q[0];
rz(-0.0152) q[0];
cx q[3], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 43.12079191207886} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(-1.5708) q[5], q[1];
cry(-1.5708) q[6], q[0];
ry(0.9895) q[6];
cry(-0.0065) q[5], q[0];
ry(-0.0013) q[0];
cry(1.5704) q[5], q[3];
cry(-0.0003) q[3], q[0];
cry(-0.455) q[2], q[0];
cry(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
-4269499404609570196 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 11, 7], [1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12], [1, 2, 3, 6, 7, 9, 10], [0, 1, 2, 3, 4, 6, 8, 9, 10, 11], [0, 4, 5, 6, 8, 9, 10, 11, 12], [0, 2, 4, 5, 6, 8, 11], [1, 3, 4, 5, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12], [3, 4, 5, 6, 8, 11]... | {"states": [7150, 7839], "expectation_value": -1.9111412614788579, "params": [[0.3788], [-0.37870000000000004]], "bitstrings": ["0010000010001", "0000101100000"], "total_optimization_steps": 40, "probabilities": [0.0005374320065490826, 0.0005634464507514753], "optimization_time": 56.617753744125366} | 0.16269841269841268 * (Z(0) @ Z(2)) + 0.13845598845598844 * (Z(11) @ Z(2)) + 0.14603174603174604 * (Z(11) @ Z(0)) + 0.16067821067821067 * (Z(7) @ Z(2)) + 0.21111111111111108 * (Z(7) @ Z(0)) + 0.12575757575757576 * (Z(7) @ Z(11)) + 0.06623376623376624 * (Z(1) @ Z(2)) + 0.03611111111111111 * (Z(1) @ Z(0)) + 0.05909090909... | 1 | 13 | 1 | {"smallest_eigenvalues": [-2.7572871572871573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7541125541125533, "smallest_bitstrings": ["0000101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] 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];
cx q[2], q[0];
rz(0.1233) q[0];
cx q[2], q[0];
cx q[2], q[11];
rz(0.1049) q[11];
cx q[2], q[11];
cx q[0], q[11];
rz(0.1106) q[11];
cx q[0], q[11];
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": []} |
c69798a15730b7afdff62476bc09c790 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [896, 903], "expectation_value": -1.278442723007192, "params": [[-0.0558], [0.0609]], "bitstrings": ["0001111111", "0001111000"], "total_optimization_steps": 10, "probabilities": [0.001482479368283818, 0.0015400436926181428], "optimization_time": 2.5754358768463135} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0001111000"]} | 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(0.1674) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1674) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0558) q[2];
cx q[0], q[2];
cx q[5], q[4];
rz(0.279) 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 3} | {"circuits": [], "gradients": []} |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.21035186745969273, "params": [[-0.0781], [0.07]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.018041487720343925, 0.019535374609124877], "optimization_time": 1.4008207321166992} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.1172) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0391) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0781) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(0.1172) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(0.0391... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1255058835107117913 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 2], [1, 6], [3, 5]]} | {"states": [58, 46], "expectation_value": -1.9542022789588303, "params": null, "bitstrings": ["11000101", "11010001"], "total_optimization_steps": 59, "probabilities": [0.050406988492916874, 0.7485113925390797], "optimization_time": 61.181602478027344} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.0, "smallest_bitstrings": ["10000111", "11000101", "11010001", "00111010", "11011000", "01100101", "00110011", "01101100", "01110001... | 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[4], q[7];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[4];
ry(0.7003) q[5];
ry(0.7003) q[6];
ry(0.7003) q[2];
ry(-0.4549) q[0];
ry(-0.4549... | 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[4], 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] = me... |
86d59c6096ff3db0c9f906cf39a44678 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [70, 74], "expectation_value": -3.488827234309525, "params": null, "bitstrings": ["0111001", "0110101"], "total_optimization_steps": 30, "probabilities": [0.06089263191327698, 0.86370083709651], "optimization_time": 29.858007669448853} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0100111", "0111001", "0110101", "0101110", "0101011", "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[6];
ry(1.4449) q[0];
cry(-1.0398) q[3], q[4];
cry(-1.0342) q[5], q[2];
ry(0.7003) q[5];
ry(0.6944) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[0], q[5];
cry(-0.3789) q[0], q[2];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 13.64511775970459} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4417) q[2];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.4969) q[2], q[3];
cry(-0.3761) q[2], q[4];
cry(-0.1216) q[2], q[5];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [71, 69], "expectation_value": -0.2966853911920998, "params": [[0.060200000000000004], [-0.0587]], "bitstrings": ["0111000", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008747866724616228, 0.008776906827673143], "optimization_time": 1.7560994625091553} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0602) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0602) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0602) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0602) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [8, 41], "expectation_value": -2.5276976393340513, "params": [[[1.6109, 0.0886], [0.0021000000000000003, 0.09380000000000001], [1.5949, 0.7328], [0.1489, 0.7303000000000001], [1.4007, -0.49010000000000004], [0.1022, -0.4914]]], "bitstrings": ["110111", "010110"], "total_optimization_steps": 160, "probabiliti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.6109) q[0];
ry(0.0021) q[1];
ry(1.5949) q[2];
ry(0.1489) q[3];
ry(1.4007) q[4];
ry(0.1022) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0886) q[0];
ry(0.0938) q[1];
ry(0.7328) q[2];
ry(0.7303) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} |
db784e556d41a28cc9d16f62f2178a6a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -30.194848022425475, "params": [[[0.0019, 1.6142], [0.0019, 0.002], [0.0018000000000000002, 0.0021000000000000003], [0.002, 0.0018000000000000002], [0.0023, 0.0022], [0.0018000000000000002, 0.0023], [0.0024000000000000002, 0.0022], [-0.0034000000000000002, 0.0019], [0.0022, 0.... | -2.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0019) q[0];
ry(0.0019) q[1];
ry(0.0018) q[2];
ry(0.002) q[3];
ry(0.0023) q[4];
ry(0.0018) q[5];
ry(0.0024) q[6];
ry(-0.0034) q[7];
ry(0.0022) q[8];
ry(-0.0028) q[9];
ry(-0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x0) q[1];
ry(x1) q[2]... | {"node": 8} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -3.1102925497721188, "params": [[0.0689, 0.0349, -0.0673], [-0.0819, -0.0601, 0.0109]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02675545658185016, 0.02755986355515251], "optimization_time": 6.10222053527832} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2412) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2412) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2412) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2756... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 140.5009515285492} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(6.6475) q[4];
ry(63.0918) q[7];
ry(4.3338) q[6];
cry(32.9752) q[4], q[7];
cry(-2.9224) q[7], q[4];
cry(28.3989) q[7], q[2];
cry(0.0014) q[2], q[4];
cry(0.7192) q[5], q[4];
cry... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
b5b49a6fced492fe8fd91e1e7f682614 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [23, 31], "expectation_value": -7.940629603543955, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 69, "probabilities": [0.1668764748661772, 0.28795337291662976], "optimization_time": 64.71637749671936} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "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[4], q[5];
cry(1.5709) q[5], q[2];
cry(0.5729) q[5], q[1];
cry(0.4318) q[2], q[3];
cry(-0.3283) q[2], q[1];
cry(0.478) q[4], q[1];
cry(0.1542) q[5], q[3];
cry(0.3014) q[2], q[4];
cry(-0.2991) q[3], q... | null | {"node": 1} | {"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[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
7159875581110260102 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [3, 7], [0, 2], [2, 7], [4, 6], [0, 3], [0, 5], [1, 4], [3, 4], [4, 7], [3, 6], [0, 4], [1, 7]]} | {"states": [60, 195], "expectation_value": -0.12530303503031764, "params": [[0.0743], [-0.06670000000000001]], "bitstrings": ["11000011", "00111100"], "total_optimization_steps": 10, "probabilities": [0.004459228002696488, 0.004459228002696488], "optimization_time": 1.9398515224456787} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01111100", "10000011", "11000011", "00111100"]} | 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[2];
rz(0.0743) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(0.0743) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(0.0743) q[7];
cx q[2], q[7];
cx q[3], q[0];
rz(0.0743) q[0];
cx q[3], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[3]... | null | {"circuits": [], "gradients": []} |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1615, 1999], "expectation_value": -13.269393922886293, "params": null, "bitstrings": ["00110110000", "00000110000"], "total_optimization_steps": 100, "probabilities": [0.15590533034939158, 0.4669033828038005], "optimization_time": 172.89022970199585} | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[8], q[9];
ry(1.056) q[8];
cry(1.5707) q[8], q[7];
cry(1.5701) q[9], q[10];
cry(0.4073) q[10], q[9];
cry(1.5681) q[1], q[4];
ry(1.0829) q[1];
cry(1.5701) q[... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[8], q[9];\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[... |
ade5112df185088742e72ef2efdfacec | 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": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [176, 216], "expectation_value": -4.101846637583554, "params": [[[-0.057800000000000004, 0.6592, 0.005200000000000001, 0.0018000000000000002], [-0.6823, -0.007500000000000001, 1.3383, -0.0354], [0.0697, 0.6304000000000001, -0.42900000000000005, 0.2882], [1.4933, 0.0177, 1.0248000000000002, -0.103000000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 11 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00001111", "01011001", "01001011", "00100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0578) q[0];
rz(0.6592) q[0];
ry(-0.6823) q[1];
rz(-0.0075) q[1];
ry(0.0697) q[2];
rz(0.6304) q[2];
ry(1.4933) q[3];
rz(0.0177) q[3];
ry(-1.0071) q[4];
rz(-0.0181) q[4];
ry(0.0449) q[5];
rz(-0.17) q[5];
ry(-0.001) q[6];
rz(-0.9136) q[6];
ry(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[... | null | {"circuits": [], "gradients": []} |
a13111755f6f9029d45285fab7768b39 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -15.62925114251074, "params": [[[0.0114, -0.0082], [-0.0009000000000000001, 0.0023], [0.0118, -0.0028], [0.019, -0.0031000000000000003], [0.0048000000000000004, -0.0031000000000000003], [0.0162, -0.0031000000000000003], [0.2796, -0.0031000000000000003], [0.003, -0.003100000... | -1.0 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.75 * (Z(7) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0114) q[0];
ry(-0.0009) q[1];
ry(0.0118) q[2];
ry(0.019) q[3];
ry(0.0048) q[4];
ry(0.0162) q[5];
ry(0.2796) q[6];
ry(0.003) q[7];
ry(0.0003) q[8];
ry(0.0009) q[9];
ry(-0.0014) q[10];
ry(1.9913) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 5.93203330039978} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[4];
ry(0.6944) q[2];
ry(-0.451) q[4];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[4];
cry(-0.1259) q[1], q[0];
cry(-0.1217) q[1], q[3];
cry(0.112... | 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(-1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
0af33a976ec1c381deaa423c18839faf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [85, 71], "expectation_value": -3.997957846825408, "params": null, "bitstrings": ["0101010", "0111000"], "total_optimization_steps": 35, "probabilities": [0.061015642347634694, 0.8720928341733933], "optimization_time": 28.415608167648315} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "0101010", "0111000", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[2];
cry(-1.0342) q[6], q[1];
ry(0.7003) q[5];
ry(0.7003) q[6];
ry(-0.4549) q[2];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[1];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e73f8423da86a15663c240a5147679ff | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [11, 138], "expectation_value": -5.150536923903998, "params": [0.7972, 0.2953, 0.8002, 0.0054, 0.7968000000000001, -0.2536, 0.7932, 0.0013000000000000002, 0.0012000000000000001, -0.2086, 0.0013000000000000002, 0.0008, -0.0082, 0.42110000000000003, -0.0123, 0.0043, 0.8062, -0.057600000000000005, 0.80870000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110101", "00110111", "11100110", "01110011", "11110100", "10110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7972) q[0];
rz(0.2953) q[0];
rx(0.7968) q[1];
rz(-0.2536) q[1];
rx(0.0012) q[2];
rz(-0.2086) q[2];
rx(-0.0082) q[3];
rz(0.4211) q[3];
rx(0.8062) q[4];
rz(-0.0576) q[4];
rx(-0.0055) q[5];
rz(0.4353) q[5];
rx(0.7989) q[6];
rz(-0.2679) q[6];
rx(0.7969) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-7938295873252713390 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [0, 4, 5], [2, 4, 5], [3, 6], [0, 3, 4], [1, 3], [0, 8, 6], [8, 4], [8, 5], [5, 7], [6, 7], [0, 3, 7], [8, 2, 6], [2, 3, 4], [8, 3], [0, 1, 5], [1, 2, 7]]} | {"states": [355, 364], "expectation_value": -0.7723925346902127, "params": [[0.15910000000000002], [-0.14830000000000002]], "bitstrings": ["010011100", "010010011"], "total_optimization_steps": 20, "probabilities": [0.0036484709507140817, 0.0036485281763578713], "optimization_time": 1.3866839408874512} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(0.1591) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.1591) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.053) q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(0.1061) q[0];
cx q[4], q[0];
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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5... | null | {"circuits": [], "gradients": []} |
8f570f960f63671d4142917816c3a15b | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [172, 428], "expectation_value": -3.049010468305855, "params": [[[0.4777, 0.0011, 0.003, 0.0007], [0.1368, 0.0021000000000000003, 0.5751000000000001, 0.0041], [0.0049, 0.2661, 0.005200000000000001, 0.26880000000000004], [0.2953, 0.0015, 0.2914, 0.0033], [0.029400000000000003, 0.0665, 0.0033, 0.0654], [0.0819... | 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(... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4777) q[0];
rz(0.0011) q[0];
ry(0.1368) q[1];
rz(0.0021) q[1];
ry(0.0049) q[2];
rz(0.2661) q[2];
ry(0.2953) q[3];
rz(0.0015) q[3];
ry(0.0294) q[4];
rz(0.0665) q[4];
ry(0.0819) q[5];
rz(-0.0829) q[5];
ry(0.5728) q[6];
rz(-0.0034) q[6];
ry(-0.0052) 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": []} |
1d86b79e795dcdc762321344dd74195c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [880, 816], "expectation_value": -9.373172609126158, "params": [0.9064000000000001, 0.0012000000000000001, 0.9053, 0.006500000000000001, 0.8622000000000001, 0.0023, 0.8565, 0.0039000000000000003, -0.0036000000000000003, 0.37970000000000004, -0.00030000000000000003, 0.01, 0.7240000000000001, 0.245000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["0011001111", "0110001111", "0011011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9064) q[0];
rz(0.0012) q[0];
rx(0.8622) q[1];
rz(0.0023) q[1];
rx(-0.0036) q[2];
rz(0.3797) q[2];
rx(0.724) q[3];
rz(0.245) q[3];
rx(0.9121) q[4];
rz(-0.0013) q[4];
rx(0.9045) q[5];
rz(-0.0013) q[5];
rx(0.0032) q[6];
rz(0.5541) q[6];
rx(-0.0042) 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": []} |
9f16651ff069e7e4b10d7e6e3ea493cf | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.05552501641259116, "params": [[-0.0417], [0.052700000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004163634416544264, 0.004202195348920225], "optimization_time": 2.0134620666503906} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0209) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0417) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0209) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.0625) q[7];
cx q[0], q[7];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [5, 24], "expectation_value": -1.0811596425505232, "params": [[-0.0806, -0.0729, -0.0736], [0.0796, 0.07300000000000001, 0.0724]], "bitstrings": ["11010", "00111"], "total_optimization_steps": 10, "probabilities": [0.05658968525417161, 0.05658968525417163], "optimization_time": 3.771538257598877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | 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(-0.0806) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0806) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0806) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0806) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0806) 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] 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 ... | null | {"circuits": [], "gradients": []} |
79ecc4847db5af37782a1c862369b0e5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 511], "expectation_value": -9.016274159999671, "params": [0.08420000000000001, 2.0306, 0.6246, 0.0053, 0.7669, 0.6056, -0.763, 0.0098, -0.8541000000000001, 0.9578000000000001, 0.217, 0.0077, -0.8721, 1.5485, -0.6281, 0.0067, -0.8483, 1.5714000000000001, -0.061000000000000006, 0.0044, -0.8498, 1.881300000... | -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0842) q[0];
rz(2.0306) q[0];
rx(0.7669) q[1];
rz(0.6056) q[1];
rx(-0.8541) q[2];
rz(0.9578) q[2];
rx(-0.8721) q[3];
rz(1.5485) q[3];
rx(-0.8483) q[4];
rz(1.5714) q[4];
rx(-0.8498) q[5];
rz(1.8813) q[5];
rx(-0.8664) q[6];
rz(2.0296) q[6];
rx(-0.8546) 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": 1} | {"circuits": [], "gradients": []} |
d8a61d0444d65913cca281ef9173c238 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [282, 283], "expectation_value": -5.3301102300498515, "params": [[1.1801000000000001, -0.1565, 0.0009000000000000001, -0.0041, 1.3024, 1.243, 0.002, 1.1727, 0.5924], [0.6903, 0.0732, 0.0034000000000000002, -0.0009000000000000001, 0.4431, -0.3533, 0.002, 0.6922, -0.1221], [1.2974, 0.1454, 0.005200000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(8) + -1.0 * Z(... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1801) q[0];
ry(-0.1565) q[1];
ry(0.0009) q[2];
ry(-0.0041) q[3];
ry(1.3024) q[4];
ry(1.243) q[5];
ry(0.002) q[6];
ry(1.1727) q[7];
ry(0.5924) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.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": []} |
328993d2980617c82c46cb44ba49e574 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "source": ... | {"states": [2048, 2047], "expectation_value": -33.031327548575966, "params": [[[-0.0018000000000000002, -0.0035], [-0.0018000000000000002, -0.0034000000000000002], [0.0015, -0.002], [0.002, -0.0029000000000000002], [0.0007, -0.0032], [0.005200000000000001, -0.0024000000000000002], [0.0009000000000000001, -0.00240000000... | -0.5 * (Z(0) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-33.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0018) q[0];
ry(-0.0018) q[1];
ry(0.0015) q[2];
ry(0.002) q[3];
ry(0.0007) q[4];
ry(0.0052) q[5];
ry(0.0009) q[6];
ry(-0.0057) q[7];
ry(-0.0048) q[8];
ry(0.0011) q[9];
ry(-0.0068) q[10];
ry(1.6522) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -0.07971844825212775, "params": [[0.013800000000000002, -0.0369], [-0.0297, 0.033600000000000005]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.004132392606260573, 0.004151625091724233], "optimization_time": 2.66802716255188} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0138) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(0.0207) q[7];
cx q[0], q[7];
cx q[1], q[3];
rz(-0.0138) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.0414) q[4];
cx q[1], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4037180058226994189 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 11, 5, 6], [8, 11, 4, 6], [4, 5], [0, 8, 5, 6], [1, 6, 8, 9, 10], [0, 4, 7, 8, 10], [2, 3, 4, 7], [2, 3, 5], [2, 4, 7, 8, 11], [3, 4, 6, 10, 11], [10, 3, 5], [8, 11, 5], [9, 11], [0, 8, 2]]} | {"states": [894, 638], "expectation_value": -3.57515821832101, "params": [-0.0022, 1.1640000000000001, -0.0027, 1.8409, 3.1412, -0.0006000000000000001, 1.5697, 0.3551, -0.0027, -1.3771, 2.2444, 0.0024000000000000002, 2.3537, 0.0027, 2.4393000000000002, 0.0027, 2.7419000000000002, -0.0028, 2.9933, 0.0022, 3.139900000000... | 0.13333333333333333 * (Z(10) @ Z(11)) + 0.25 * (Z(5) @ Z(11)) + 0.25 * (Z(5) @ Z(10)) + 0.21666666666666667 * (Z(6) @ Z(11)) + 0.18333333333333335 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3 * (Z(8) @ Z(11)) + 0.1 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(6)) + 0.1833333... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.7666666666666675], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666667, "smallest_bitstrings": ["110110000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0022) q[0];
rz(1.164) q[0];
rx(-0.0027) q[1];
rz(1.8409) q[1];
rx(3.1412) q[2];
rz(-0.0006) q[2];
rx(1.5697) q[3];
rz(0.3551) q[3];
rx(-0.0027) q[4];
rz(-1.3771) q[4];
rx(2.2444) q[5];
rz(0.0024) q[5];
rx(2.3537) q[6];
rz(0.0027) q[6];
rx(2.4393) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d2be47e29eae50ce45c4510347a77d7f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -23.70457732172402, "params": [[[-0.015300000000000001, -0.0055000000000000005], [-0.004200000000000001, 0.066], [-0.0037, -0.003], [-0.0035, 0.0027], [0.0011, -0.0031000000000000003], [-0.005200000000000001, 0.003], [-0.0021000000000000003, -0.0027], [-1.3764, 0.001], [0.447... | -1.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0153) q[0];
ry(-0.0042) q[1];
ry(-0.0037) q[2];
ry(-0.0035) q[3];
ry(0.0011) q[4];
ry(-0.0052) q[5];
ry(-0.0021) q[6];
ry(-1.3764) q[7];
ry(0.4479) 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -39.2223342595952, "params": [[0.038900000000000004, 0.0758, 0.11280000000000001], [-0.6283000000000001, -0.4199, -0.2695]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 70, "probabilities": [0.1777609840853321, 0.18674781669811752], "optimization_time"... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3112) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3112) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3112) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3112) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [19, 27], "expectation_value": -1.1063567579923639, "params": [[0.0702, 0.06960000000000001, 0.0649, 0.036000000000000004], [-0.0717, -0.07300000000000001, -0.0719, -0.054]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.028138326208589595, 0.034465527648138844], "op... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0702) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0702) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0702) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0702) q[4];
cx q[3], q[4];
cx q[0], q[5];
rz(0.0702... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
299056894614015130 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 6], [4, 7], [2, 3, 7], [0, 3, 6], [1, 4], [3, 4, 5], [0, 2, 5, 6, 7]]} | {"states": [213, 87], "expectation_value": -0.07258951800024235, "params": [[0.07980000000000001], [-0.08560000000000001]], "bitstrings": ["00101010", "10101000"], "total_optimization_steps": 10, "probabilities": [0.004328405014160666, 0.00432840501416067], "optimization_time": 0.9176373481750488} | 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2, -2.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1999999999999993, "smallest_bitstrings": ["00101010", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.016) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.008) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.008) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.016) q[5];
cx q[2], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | null | {"circuits": [], "gradients": []} |
b35b67be6f13e1c7d0fe900b84e9f3d0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [75, 91], "expectation_value": -2.563006157021299, "params": [[0.0026000000000000003, -0.0198, 1.5801, -0.0005, -0.0053, 1.5858, 0.0023, -0.016800000000000002, 1.5859], [0.0025, 1.3735000000000002, 1.5861, 0.32280000000000003, 1.6032000000000002, 1.5850000000000002, -0.004200000000000001, 1.6103, 1.5858]], "... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0026) q[0];
ry(-0.0198) q[1];
ry(1.5801) q[2];
ry(-0.0005) q[3];
ry(-0.0053) q[4];
ry(1.5858) q[5];
ry(0.0023) q[6];
ry(-0.0168) q[7];
ry(1.5859) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [5, 1], "expectation_value": -1.7086424814646564, "params": [[-0.054700000000000006, -0.0699, -0.038200000000000005], [0.053500000000000006, 0.07200000000000001, 0.0594]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018569001970843112, 0.021116496592495246], "opt... | -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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0821) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1094) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(0.1368) q[5];
cx q[1], q[5];
cx q[0], q[6];
rz(-0.1094) q[6];
cx q[0], q[6];
cx q[2], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
366b890edf4c144f6141ff272a73bb47 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 511], "expectation_value": -6.377520721271542, "params": [0.1015, 1.4473, 0.6103000000000001, 0.004, -0.5724, 0.7903, 0.524, 0.0027, -0.8029000000000001, 0.5372, 0.7028, 0.0095, -0.8125, 1.0226, -0.44380000000000003, 0.0037, -0.8079000000000001, 1.1747, -0.031100000000000003, 0.003, -0.8170000000000001, ... | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 6 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1015) q[0];
rz(1.4473) q[0];
rx(-0.5724) q[1];
rz(0.7903) q[1];
rx(-0.8029) q[2];
rz(0.5372) q[2];
rx(-0.8125) q[3];
rz(1.0226) q[3];
rx(-0.8079) q[4];
rz(1.1747) q[4];
rx(-0.817) q[5];
rz(1.4419) q[5];
rx(-0.8141) q[6];
rz(1.2188) q[6];
rx(-0.8107) 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": 1} | {"circuits": [], "gradients": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -1.2711042327877085, "params": [[-0.027700000000000002, -0.0281, -0.0002, -0.046], [0.029900000000000003, 0.0417, 0.0006000000000000001, 0.0334]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006112719794235189, 0.006850362956878894... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0416) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0831) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0693) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0139) q[1];
cx q[5], q[1];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
cb943fcd43d9f749780630b91be79506 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -0.1700749214852454, "params": [[0.058600000000000006], [-0.0475]], "bitstrings": ["100000000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.002278629543953468, 0.0022950818806981407], "optimization_time": 2.5998852252960205} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | 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(-0.0293) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0586) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0586) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0293) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
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": -0.7135975277917834, "params": [[-0.024900000000000002, -0.031, -0.0182, -0.0541], [0.0091, 0.025900000000000003, 0.0056, 0.0386]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.005678559206535825, 0.005764178235527973], "optimiza... | -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 | 4 | {"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(0.0125) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.0374) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0374) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.0249) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6163086712884181579 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [4, 5], [5, 7], [4, 7], [0, 5], [1, 2], [2, 3], [1, 6]]} | {"states": [39, 216], "expectation_value": -0.09731705538906167, "params": [[-0.0806], [0.07730000000000001]], "bitstrings": ["11011000", "00100111"], "total_optimization_steps": 10, "probabilities": [0.0045064486900900785, 0.0045064486900900785], "optimization_time": 6.761672496795654} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011000", "10100011", "10101011", "01010100", "01011100", "00100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(-0.0806) q[1];
cx q[7], q[1];
cx q[7], q[4];
rz(-0.0806) q[4];
cx q[7], q[4];
cx q[7], q[5];
rz(-0.0806) q[5];
cx q[7], q[5];
cx q[4], q[5];
rz(-0.0806) q[5];
cx q[4], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[4]... | null | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -5.250172662553911, "params": [[[0.2313, 0.231], [0.3254, -0.16720000000000002], [0.3245, 0.16670000000000001], [0.3159, -0.1706], [0.6142000000000001, 0.0007], [0.6142000000000001, 0.0002], [0.6121, 0.0004]], [[0.23770000000000002, 0.23090000000000002], [0.32530000000000003, -0.... | 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(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 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 ... | 1 | 7 | 3 | {"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;
rx(0.2313) q[0];
rz(0.231) q[0];
rx(0.3254) q[1];
rz(-0.1672) q[1];
rx(0.3245) q[2];
rz(0.1667) q[2];
rx(0.3159) q[3];
rz(-0.1706) q[3];
rx(0.6142) q[4];
rz(0.0007) q[4];
rx(0.6142) q[5];
rz(0.0002) q[5];
rx(0.6121) q[6];
rz(0.0004) q[6];
rx(0.2377) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
cacbe081b77503da3f10c68300c494cc | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [156, 220], "expectation_value": -5.102815205277699, "params": [0.6059, 0.0002, 0.5995, 0.004200000000000001, -0.019, 0.3261, 0.6059, 0.1552, 0.6088, 0.0017000000000000001, 0.6045, 0.002, -0.0081, 0.3509, -0.007500000000000001, 0.3493, 0.6079, 0.0002, 0.6022000000000001, 0.0036000000000000003, -0.0182, 0.334... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(6) + -0.5 * Z(0) + -2.0 * Z(7) + 0.0 * Z(1) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6059) q[0];
rz(0.0002) q[0];
rx(0.5995) q[1];
rz(0.0042) q[1];
rx(-0.019) q[2];
rz(0.3261) q[2];
rx(0.6059) q[3];
rz(0.1552) q[3];
rx(0.6088) q[4];
rz(0.0017) q[4];
rx(0.6045) q[5];
rz(0.002) q[5];
rx(-0.0081) q[6];
rz(0.3509) q[6];
rx(-0.0075) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
90cd45aecbe758daa031a854118281c7 | 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": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [99, 83], "expectation_value": -4.99912831154339, "params": null, "bitstrings": ["0011100", "0101100"], "total_optimization_steps": 34, "probabilities": [0.06552828088820387, 0.9338519928642017], "optimization_time": 30.26380705833435} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011100", "0101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
ry(1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[6];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
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", ... |
-2938813909534192457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 3], [1, 4, 13], [8, 9, 4], [9, 1, 7], [9, 10, 7], [8, 12], [0, 9, 2], [1, 4, 5], [2, 12, 13], [0, 3], [1, 11, 5], [1, 3], [5, 13, 7], [11, 6, 7], [8, 6], [10, 13, 6], [3, 5], [11, 3], [9, 13, 7], [0, 2, 13], [8, 9, 2], [8, 9, 7], [12, 4, 5], [... | {"states": [12605, 12607], "expectation_value": -2.510551568187594, "params": [[0.1757], [-0.1842]], "bitstrings": ["00111011000010", "00111011000000"], "total_optimization_steps": 20, "probabilities": [0.0002462451152579863, 0.00024656590175567607], "optimization_time": 9.709801435470581} | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(13) @ Z(3)) + 0.16666666666666666 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(1)) + 0.16666666666666666 * (Z(13) @ Z(4)) + 0.... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.666666666666524], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666504, "smallest_bitstrings": ["00111011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[3], q[9];
rz(0.1757) q[9];
cx q[3], q[9];
cx q[3], q[1];
rz(0.1757) q[1];
cx q[3], q[1];
cx q[9], q[1];
rz(0.0586) q[1];
cx q[9], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | null | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -15.398110541692448, "params": [[0.027800000000000002, 0.0201], [-0.0478, -0.0664]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009452362598256702, 0.010727038530177636], "optimization_time": 3.228362798690796} | 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 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2224) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2224) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2224) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.2224) q[4];
cx q[0], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [174, 122], "expectation_value": -19.689490987139184, "params": [[-0.0346, 0.0041], [0.0709, 0.0703]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010013349873695288, 0.012871900165226628], "optimization_time": 3.3995208740234375} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2768) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2768) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2768) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2768) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 27], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100000", "1100100"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 34.904181241989136} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5681) q[5];
cry(1.5681) q[6], q[3];
ry(1.0378) q[6];
cry(-1.5705) q[6], q[0];
cry(-1.5707) q[5], q[1];
ry(0.4432) q[3];
cry(0.2657) q[5], q[6];
cry(1.4449) q[5], q[2];
cry(0.1283) q[5], q[3];
cry(0.0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
20a60ed013bc1976376f734be7d8d92c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [1, 9], "expectation_value": -0.9981513132393406, "params": [[[0.8341000000000001, 0.0016], [0.2073, -0.35450000000000004], [0.21330000000000002, 0.3438], [0.8353, 0.0013000000000000002]], [[0.8386, 0.0034000000000000002], [0.2132, 0.0037], [0.21810000000000002, 0.0014], [0.8392000000000001, 0.0047]]], "bits... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.8341) q[0];
rz(0.0016) q[0];
rx(0.2073) q[1];
rz(-0.3545) q[1];
rx(0.2133) q[2];
rz(0.3438) q[2];
rx(0.8353) q[3];
rz(0.0013) q[3];
rx(0.8386) q[0];
rz(0.0034) q[0];
rx(0.2132) q[1];
rz(0.0037) q[1];
rx(0.2181) q[2];
rz(0.0014) q[2];
rx(0.8392) q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-7113729499938187556 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [7, 56], "expectation_value": -0.0985388506456409, "params": [[-0.08420000000000001], [0.0755]], "bitstrings": ["111000", "000111"], "total_optimization_steps": 10, "probabilities": [0.01722940106904087, 0.01722940106904087], "optimization_time": 2.315836191177368} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "011000", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0842) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0842) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0842) q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-0.0842) q[4];
cx q[2], q[4];
cx q[5], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
-6989154005446686930 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 6], [2, 4], [3, 6]]} | {"states": [90, 78], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0100101", "0110001"], "total_optimization_steps": 49, "probabilities": [0.05012949413270047, 0.7317076875442983], "optimization_time": 38.91479778289795} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0010011", "1101100", "0100101", "0110001", "1011010", "1001110", "1111000", "0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[6];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[5], q[1];
ry(0.7003) q[3];
cry(-0.7092) q[0], q[6];
cry(1.1516) q[3], q[0];
ry(0.7003) q[5];
ry(0.7003) q[4];
ry(-0.4549) q[2];
ry(-0.4549)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-7461145682628880774 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 6], [0, 4, 6, 7, 8], [0, 1, 4, 6, 7], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 6, 8], [0, 2, 3, 5, 7], [0, 1, 3, 5, 6, 8], [0, 1, 2, 5, 7]]} | {"states": [231, 487], "expectation_value": -1.6494508714869467, "params": [1.4423000000000001, 0.4379, 0.8326, 0.0015, 1.469, 0.1105, 1.3834, 0.008700000000000001, 1.4193, 0.1269, 1.3168, 0.0031000000000000003, 1.4442000000000002, 0.1607, 1.4195, 0.008400000000000001, 0.9684, 0.4988, 0.7159, 0.0091, 1.1031, -0.3765, 0... | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.13095238095238093 * (Z(4) @ Z(3)) + 0.20714285714285716 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.20714285714285716 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.2 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.1 * (Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.8476190476190473], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4423) q[0];
rz(0.4379) q[0];
rx(1.469) q[1];
rz(0.1105) q[1];
rx(1.4193) q[2];
rz(0.1269) q[2];
rx(1.4442) q[3];
rz(0.1607) q[3];
rx(0.9684) q[4];
rz(0.4988) q[4];
rx(1.1031) q[5];
rz(-0.3765) q[5];
rx(1.4662) q[6];
rz(0.0467) q[6];
rx(1.4687) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
aba606cef9b0d037570e7cfc8ff24754 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [272, 280], "expectation_value": -7.7011623243256535, "params": [0.3992, 0.40140000000000003, -0.003, -0.0051, -0.0036000000000000003, -0.0086, 0.0049, 0.0015, 0.39380000000000004, 0.401, 0.31, 0.3164, 0.003, -0.0034000000000000002, 0.17470000000000002, 0.1699, 0.14350000000000002, 0.1383, 0.4055, 0.4022, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -7.5, "smallest_bitstrings": ["011101101", "011110110", "011100111", "010101111", "011111100", "000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3992) q[0];
ry(-0.003) q[1];
ry(-0.0036) q[2];
ry(0.0049) q[3];
ry(0.3938) q[4];
ry(0.31) q[5];
ry(0.003) q[6];
ry(0.1747) q[7];
ry(0.1435) q[8];
crx(0.3735) q[8], q[0];
crx(0.1317) q[7], q[8];
crx(0.309) q[6], q[7];
crx(-0.0054) q[5], q[6];
crx(-0.0014) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
-1704184987172087161 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4], [4, 6], [0, 1, 3, 6, 7], [3, 5, 7], [0, 1, 3, 5], [4, 5, 7], [1, 5, 6, 7], [2, 6, 7], [0, 4, 7], [0, 1, 4]]} | {"states": [89, 121], "expectation_value": -0.056540098943507686, "params": [[0.054400000000000004], [-0.048600000000000004]], "bitstrings": ["10100110", "10000110"], "total_optimization_steps": 10, "probabilities": [0.0040920462531482925, 0.004103369809005673], "optimization_time": 3.4112250804901123} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.95], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.533333333333334, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0091) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0091) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0236) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0091) q[4];
cx q[2], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
9551046ccc9dd029d28dbd33e8ca0f1e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [97, 98], "expectation_value": -5.499937479984526, "params": null, "bitstrings": ["0011110", "0011101"], "total_optimization_steps": 30, "probabilities": [1.6356460474867127e-05, 0.9999687407489224], "optimization_time": 30.255519151687622} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"]} | 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[3];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[1];
cry(-0.1259) q[5], q[6];
cry(0.1218) q[0], q[1];
cry(0.1216) q[1], q[5];
cry(0.11... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d4330ca50c7e11a2ef645e484effbde2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [191, 153], "expectation_value": -5.246686080092681, "params": [[0.1726], [-0.1832]], "bitstrings": ["101000000", "101100110"], "total_optimization_steps": 20, "probabilities": [0.011073094671452656, 0.01215063000869034], "optimization_time": 2.9332895278930664} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.4315) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0863) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(-0.1726) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.2589) q[7];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
af1426b93324259832bd09f6b200fbec | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [1022, 511], "expectation_value": -11.256965726079569, "params": [[[-0.0125, 0.6891], [0.0031000000000000003, -0.09050000000000001], [0.0014, 0.0022], [0.0019, 0.0024000000000000002], [0.0044, 0.0029000000000000002], [0.0032, 0.0025], [0.0024000000000000002, 0.003], [0.0041, -0.0039000000000000003], [-0.1675... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 15 | 10 | 4 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0125) q[0];
ry(0.0031) q[1];
ry(0.0014) q[2];
ry(0.0019) q[3];
ry(0.0044) q[4];
ry(0.0032) q[5];
ry(0.0024) q[6];
ry(0.0041) q[7];
ry(-0.1675) q[8];
ry(0.1733) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1022, 894], "expectation_value": -1.1344852048327052, "params": [0.31720000000000004, -0.08030000000000001, 0.3118, -0.0931, 0.3126, -0.07880000000000001, 0.313, -0.0915, 0.49470000000000003, -0.0653, 0.49660000000000004, -0.07980000000000001, 0.49260000000000004, -0.060200000000000004, 0.4959, -0.077400000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 5 | 12 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3172) q[0];
rz(-0.0803) q[0];
rx(0.3126) q[1];
rz(-0.0788) q[1];
rx(0.4947) q[2];
rz(-0.0653) q[2];
rx(0.4926) q[3];
rz(-0.0602) q[3];
rx(0.4176) q[4];
rz(-0.0805) q[4];
rx(0.5028) q[5];
rz(-0.0153) q[5];
rx(0.504) q[6];
rz(-0.0161) q[6];
rx(0.4995) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 36.967060804367065} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
ry(-1.5681) q[3];
cry(1.4449) q[5], q[4];
cry(1.218) q[4], q[5];
cry(-1.4449) q[1], q[0];
cry(1.5477) q[4], q[6];
cry(1.3) q[4], q[2];
cry(-0.601) q[1], q[2];
cry(0.7494) q[5], q[2];
ry(-... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
e0b770b7192404036ee976edfab3eb82 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [896, 897], "expectation_value": -5.640770418013022, "params": [[[1.6579000000000002, 0.0032], [1.7058, 0.0058000000000000005], [1.7102000000000002, 0.0046], [0.038900000000000004, 0.0063], [-0.0193, 0.0015], [0.4788, 0.0031000000000000003], [-0.002, 0.0008], [1.4709, 0.0048000000000000004], [0.6948000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001111010", "0001101111", "1001101011", "1001111001", "0001111101", "0001111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6579) q[0];
rz(0.0032) q[0];
rx(1.7058) q[1];
rz(0.0058) q[1];
rx(1.7102) q[2];
rz(0.0046) q[2];
rx(0.0389) q[3];
rz(0.0063) q[3];
rx(-0.0193) q[4];
rz(0.0015) q[4];
rx(0.4788) q[5];
rz(0.0031) q[5];
rx(-0.002) q[6];
rz(0.0008) q[6];
rx(1.4709) 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": []} |
0227fd0262660357a7db3e0f6c7f2278 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [213, 118], "expectation_value": -17.57879441497488, "params": [[0.0, 0.0199, 0.0152, 0.0099], [-0.0014, -0.0329, -0.0422, -0.055200000000000006]], "bitstrings": ["00101010", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00987747692931869, 0.011934573480343378], "optimization_time": 6.3380... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
-2681984990663361079 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 6], [1, 4], [3, 5], [3, 4], [1, 6], [0, 6], [8, 4], [1, 3], [1, 7], [8, 3], [2, 5]]} | {"states": [141, 393], "expectation_value": -3.2378709511551818, "params": null, "bitstrings": ["101110010", "001110110"], "total_optimization_steps": 61, "probabilities": [0.07557439405930579, 0.7446570917920271], "optimization_time": 70.45878171920776} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["110001001", "001110110", "101110010", "111100001", "000011110", "000011111", "111100000", "010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[3];
cry(-1.0342) q[1], q[7];
ry(1.0293) q[1];
cry(-1.2204) q[0], q[6];
ry(-0.6992) q[7];
ry(0.7595) q[0];
cry(0.4516) q[0], q[1];
cry(-0.598) q[1], q[6];
cry(-1.0675) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], 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... |
2d66a63516707ef6fa08689003d445e4 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.27115727867530703, "params": [[-0.038400000000000004, -0.0041, -0.0367, -0.0511], [0.06720000000000001, -0.0046, 0.018000000000000002, 0.048100000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02044722552289708, 0.0211279... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0192) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0384) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0576) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.0768) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(0.0384... | OPENQASM 3.0;
include "stdgates.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": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 61.678210973739624} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | 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(62.9199) q[5];
ry(4.2103) q[4];
cry(2.4382) q[7], q[5];
ry(0.3263) q[3];
cry(1.2445) q[6], q[3];
cry(-3.31) q[3], q[4];
ry(1.2782) q[7];
cry(0.6619) q[6], q[4];
ry(-1.5681) q[1];
ry(-1.5486) q[... | null | {"source": 0, "sink": 3} | {"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(62.9199) 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... |
18da590fe700e31fa390d98ebb622e6e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [16, 511], "expectation_value": -0.11826067923857546, "params": [[0.0078000000000000005, 0.40890000000000004, 0.0085, 0.0025, 0.0083, 0.007200000000000001, 0.0032, 0.0067, 0.0067, 0.008], [0.0, 0.4078, -0.003, 0.0058000000000000005, 0.0078000000000000005, 0.0014, 0.003, 0.0076, 0.0034000000000000002, 0.006]]... | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 9 | 10 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0078) q[0];
rx(0.4089) q[1];
rx(0.0085... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
cad641d981f27f8814cde398a8be85de | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -15.69894234995331, "params": [[-0.04, -0.0162, -0.0043], [0.065, 0.0446, 0.0308]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012940047996756136, 0.014473013740872035], "optimization_time": 5.586197853088379} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.36) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.36) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.36) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.36) q[2];
cx q[0], q[2];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
a645ae3643161db4224eacb5097991ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2915, 2923], "expectation_value": -2.4861881669032506, "params": [1.3367, 0.5765, 0.1506, 0.9548000000000001, 1.4053, -0.0025, 1.4038000000000002, -0.3171, 0.36060000000000003, -0.5605, 1.3995, -0.034, 1.3989, 0.2676, 0.3788, 0.45220000000000005, 0.8952, -0.326, 0.37260000000000004, -0.5537000000000001, 1.4... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 31, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010000100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3367) q[0];
rz(0.5765) q[0];
rx(0.1506) q[1];
rz(0.9548) q[1];
rx(1.4053) q[2];
rz(-0.0025) q[2];
rx(1.4038) q[3];
rz(-0.3171) q[3];
rx(0.3606) q[4];
rz(-0.5605) q[4];
rx(1.3995) q[5];
rz(-0.034) q[5];
rx(1.3989) q[6];
rz(0.2676) q[6];
rx(0.3788) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3955320569394152503 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 6], [8, 2, 6], [8, 5], [1, 2, 6], [0, 8, 4, 6], [0, 8, 2, 7], [8, 3, 7], [8, 2, 3], [8, 4, 6, 7], [8, 0, 2, 4], [5, 6], [2, 3, 6, 7], [5, 7], [1, 3, 5]]} | {"states": [487, 423], "expectation_value": -2.9348649242939713, "params": [1.375, 1.3866, 0.9792000000000001, 1.3991, 0.8358, 0.7579, 1.3958000000000002, 1.3900000000000001, 0.5292, 0.6777000000000001, 0.17600000000000002, 0.1763, 1.4003, 1.3925, 1.3894, 1.3858000000000001, 1.3796000000000002, 1.3881000000000001, 1.11... | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.4666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.866666666666667, "smallest_bitstrings": ["001011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.375) q[0];
ry(0.9792) q[1];
ry(0.8358) q[2];
ry(1.3958) q[3];
ry(0.5292) q[4];
ry(0.176) q[5];
ry(1.4003) q[6];
ry(1.3894) q[7];
ry(1.3796) q[8];
crx(1.1183) q[8], q[0];
crx(1.0629) q[7], q[8];
crx(0.0378) q[6], q[7];
crx(0.0134) q[5], q[6];
crx(0.1599) 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": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -7.0656952876822015, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.13151145307142467, 0.6825224339075274], "optimization_time": 28.740375757217407} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
cry(-1.5708) q[4], q[2];
cry(-1.566) q[3], q[0];
ry(1.033) q[3];
ry(0.6973) q[4];
ry(-0.4799) q[0];
ry(-0.2689) q[2];
cry(0.4052) q[3], q[4];
cry(-0.2661) q[3], q[2];
cry(0.259) q[4], q[3];
cry(-0.1613)... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
985edb9810580f42105e58073ed960e5 | 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": [3157, 2133], "expectation_value": -111.9484375258961, "params": [2.7923, 0.0017000000000000001, 1.4859, 0.005, -0.0025, 0.004200000000000001, 0.0023, 0.0023, -0.0029000000000000002, 0.0059, 2.8014, 0.0089, 0.9649000000000001, 0.0088, 2.7939000000000003, 0.0094, 0.7162000000000001, 0.0035, 2.7941000000000003... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(11) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(10) @ Z(11)) + 6.5 * Z(0) + 12.5 * Z(1) + -6.0 * Z(4) + 9.0 * Z(5) + 4.5 * Z(6) + 17.0 *... | 18 | 12 | 1 | {"smallest_eigenvalues": [-138.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["011110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.7923) q[0];
rz(0.0017) q[0];
rx(1.4859) q[1];
rz(0.005) q[1];
rx(-0.0025) q[2];
rz(0.0042) q[2];
rx(0.0023) q[3];
rz(0.0023) q[3];
rx(-0.0029) q[4];
rz(0.0059) q[4];
rx(2.8014) q[5];
rz(0.0089) q[5];
rx(0.9649) q[6];
rz(0.0088) q[6];
rx(2.7939) 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": []} |
a4887282391b847c36275b441eb6d545 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [3, 20], "expectation_value": -2.2510400003156095, "params": [[-0.0502, -0.048400000000000006, -0.0584, -0.06960000000000001], [0.0665, 0.0545, 0.0636, 0.0688]], "bitstrings": ["111100", "101011"], "total_optimization_steps": 10, "probabilities": [0.034533171707579975, 0.034533171707579996], "optimization_ti... | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"]} | 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(-0.0502) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0502) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0502) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0502) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
b7602418da2fb1da8d0e3bf56e052253 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [852, 860], "expectation_value": -1.417672554865422, "params": [[[0.48090000000000005, 0.0892], [0.504, 0.0814], [0.09770000000000001, 0.057300000000000004], [0.5016, 0.032], [0.2926, -0.1758], [0.4002, 0.5057], [0.2883, 0.49520000000000003], [0.22870000000000001, 0.5003000000000001], [0.48310000000000003, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010101001", "1010001001", "1010000110", "0010100110", "1000011001", "1000010110", "1000010011", "1001010001", "0001110001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4809) q[0];
ry(0.504) q[1];
ry(0.0977) q[2];
ry(0.5016) q[3];
ry(0.2926) q[4];
ry(0.4002) q[5];
ry(0.2883) q[6];
ry(0.2287) q[7];
ry(0.4831) q[8];
ry(0.22) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
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": []} |
9b58e32b519a855baf8fae50f608e54a | 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": [948, 436], "expectation_value": -86.53515449838045, "params": [[[0.8140000000000001, 0.07100000000000001], [0.4928, 0.0959], [0.9734, 0.2419], [0.22160000000000002, 0.20320000000000002], [0.31870000000000004, 0.249], [0.9689000000000001, 0.5009], [0.0519, 0.4384], [0.6774, 0.7611], [0.1531, 0.5545], [-0.051... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(2)) + 5.0 * Z(0) + 5.5 * Z(1) + 9.5 * Z(2) + 8.0 * Z(3) + 13.5... | 15 | 10 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.814) q[0];
ry(0.4928) q[1];
ry(0.9734) q[2];
ry(0.2216) q[3];
ry(0.3187) q[4];
ry(0.9689) q[5];
ry(0.0519) q[6];
ry(0.6774) q[7];
ry(0.1531) q[8];
ry(-0.0518) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
-5458566820362682141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 5, 6, 8], [1, 2, 6, 7], [1, 2, 4, 6, 9], [8, 2, 5], [0, 4, 5, 6, 7], [1, 5, 9, 7], [1, 2, 4, 7, 9], [9, 2, 3, 4], [0, 1, 2, 4, 7], [8, 2, 6], [0, 1, 3, 6], [9, 4, 5, 6], [2, 3, 5, 7], [1, 2, 3, 4, 7, 8]]} | {"states": [440, 504], "expectation_value": -0.8901831581275829, "params": [[-0.18460000000000001], [0.1789]], "bitstrings": ["1001000111", "1000000111"], "total_optimization_steps": 20, "probabilities": [0.0015961095402218638, 0.0016269588701735207], "optimization_time": 5.396683692932129} | 0.11666666666666667 * (Z(0) @ Z(3)) + 0.15 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.283333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2166666666666677, "smallest_bitstrings": ["1000000111"]} | 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(-0.0431) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0554) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0492) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0431) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6512650cf6e89a13be11a148f896da5d | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [254, 238], "expectation_value": -2.141117343959153, "params": [-0.0004, -0.0035, 0.29400000000000004, 0.2908, 0.49610000000000004, 0.4979, 0.5037, 0.5023, 0.4993, 0.5064000000000001, 0.2902, 0.29000000000000004, 0.499, 0.5065000000000001, 0.5068, 0.4998, 0.5047, 0.5011, -0.0064, -0.0017000000000000001, -0.0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.875, "smallest_bitstrings": ["1100010001", "1100000101", "1101000001", "1000110001", "1010010001", "1001001001", "1001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0004) q[0];
ry(0.294) q[1];
ry(0.4961) q[2];
ry(0.5037) q[3];
ry(0.4993) q[4];
ry(0.2902) q[5];
ry(0.499) q[6];
ry(0.5068) q[7];
ry(0.5047) q[8];
ry(-0.0064) q[9];
crx(-0.2109) q[9], q[0];
crx(-0.0054) q[8], q[9];
crx(0.4899) q[7], q[8];
crx(0.2661) 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": []} |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.344607217718494, "params": [0.00030000000000000003, -0.2141, 0.005200000000000001, -0.2792, 0.0031000000000000003, -0.2336, 0.0006000000000000001, -0.281, 0.0039000000000000003, -0.24180000000000001, 0.0024000000000000002, -0.24630000000000002, -0.0002, -0.28450000000000003, 0... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0003) q[0];
rz(-0.2141) q[0];
rx(0.0031) q[1];
rz(-0.2336) q[1];
rx(0.0039) q[2];
rz(-0.2418) q[2];
rx(-0.0002) q[3];
rz(-0.2845) q[3];
rx(0.0026) q[4];
rz(-0.2854) q[4];
rx(0.0031) q[5];
rz(-0.2132) q[5];
rx(0.0051) q[6];
rz(-0.139) q[6];
rx(0.003) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 35.76844811439514} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | 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(-1.5158) q[2];
cry(-1.3016) q[3], q[4];
ry(1.2942) q[5];
cry(-1.3048) q[0], q[1];
ry(0.7841) q[0];
ry(-0.5322) q[1];
ry(0.7829) q[3];
cry(0.505) q[5], q[0];
ry(-0.4525) q[4];
cry(0.4531) q[5], q[3];
cry(-0.286... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
24ad81747c6bd1903cd58d045c41656e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [219, 218], "expectation_value": -68.16999511146152, "params": [0.29150000000000004, 0.48660000000000003, 1.0606, -0.013600000000000001, 1.0579, 0.19290000000000002, 0.01, 0.6133000000000001, 1.0575, -0.0132, 1.059, 0.2886, 0.009000000000000001, 0.6881, 1.0639, 0.0, 0.5077, 0.40540000000000004, 0.2869, 0.462... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2915) q[0];
rz(0.4866) q[0];
rx(1.0606) q[1];
rz(-0.0136) q[1];
rx(1.0579) q[2];
rz(0.1929) q[2];
rx(0.01) q[3];
rz(0.6133) q[3];
rx(1.0575) q[4];
rz(-0.0132) q[4];
rx(1.059) q[5];
rz(0.2886) q[5];
rx(0.009) q[6];
rz(0.6881) q[6];
rx(1.0639) q[7];
rz(0) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
78df5020371fd34d72b5173f19cc0fb1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target":... | {"states": [1023, 1015], "expectation_value": -32.85850067551705, "params": [[[0.0081, -0.0023], [-0.0017000000000000001, -0.0028], [-0.0011, -0.0023], [0.0054, -0.0028], [-0.0007, -0.0027], [-0.0048000000000000004, -0.0022], [-0.010400000000000001, 0.002], [-0.5503, -0.0019], [-0.0002, -0.0018000000000000002], [-1.596... | -1.75 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -1.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -0.5 * (Z(4) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["10000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0081) q[0];
ry(-0.0017) q[1];
ry(-0.0011) q[2];
ry(0.0054) q[3];
ry(-0.0007) q[4];
ry(-0.0048) q[5];
ry(-0.0104) q[6];
ry(-0.5503) q[7];
ry(-0.0002) q[8];
ry(-1.5968) q[9];
ry(0.0177) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
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