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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [50, 9], "expectation_value": -0.423789630856736, "params": [[-0.001, 0.0505, 0.0719], [0.034, -0.028800000000000003, -0.0512]], "bitstrings": ["001101", "110110"], "total_optimization_steps": 10, "probabilities": [0.01798931133274347, 0.018639381696655553], "optimization_time": 5.5141191482543945} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"]} | 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(-0.001) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.001) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.001) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.001) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.001... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [24, 56], "expectation_value": -3.457239884029107, "params": [[-0.1297], [0.20620000000000002]], "bitstrings": ["100111", "000111"], "total_optimization_steps": 30, "probabilities": [0.030781610896457905, 0.03158217726811869], "optimization_time": 2.1177890300750732} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2335) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4669) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2335) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.0259) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
-2226108769005669384 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [9, 4, 6], [0, 1, 7], [9, 3], [3, 6], [8, 9, 5, 7], [0, 2, 4, 8, 9], [4, 7], [0, 4, 5], [9, 2, 7], [0, 2, 5], [0, 9, 5]]} | {"states": [797, 541], "expectation_value": -3.73891682699736, "params": [3.1416, -0.0073, 1.4767000000000001, 1.8762, 0.2539, 1.4033, -0.0021000000000000003, -0.9099, -0.0024000000000000002, 1.0537, 2.4527, -0.0026000000000000003, 2.8466, 0.0029000000000000002, 3.1432, -0.0015, 3.4887, 0.26930000000000004, 3.0945, 0.0... | 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(9)) + 0.21666666666666667... | 4 | 10 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8666666666666667, "smallest_bitstrings": ["0111100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1416) q[0];
rz(-0.0073) q[0];
rx(1.4767) q[1];
rz(1.8762) q[1];
rx(0.2539) q[2];
rz(1.4033) q[2];
rx(-0.0021) q[3];
rz(-0.9099) q[3];
rx(-0.0024) q[4];
rz(1.0537) q[4];
rx(2.4527) q[5];
rz(-0.0026) q[5];
rx(2.8466) q[6];
rz(0.0029) q[6];
rx(3.1432) 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": []} |
d5c9e2c60adcce2a7bd44a74474e515b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [187, 185], "expectation_value": -1.7831572688016375, "params": [-0.0038, -0.0049, 0.6014, 0.5975, -0.0038, -0.0092, 0.5988, 0.5926, 0.5971000000000001, 0.5885, 0.5944, 0.5936, 0.084, 0.0757, 0.2937, 0.30560000000000004, 0.5969, 0.6024, -0.0111, -0.0102, 0.6045, 0.5978, -0.009000000000000001, -0.0103, 0.5993... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0038) q[0];
ry(0.6014) q[1];
ry(-0.0038) q[2];
ry(0.5988) q[3];
ry(0.5971) q[4];
ry(0.5944) q[5];
ry(0.084) q[6];
ry(0.2937) q[7];
ry(0.5969) q[8];
crx(0.0993) q[8], q[0];
crx(0.0185) q[7], q[8];
crx(0.5811) q[6], q[7];
crx(-0.1282) q[5], q[6];
crx(0.03)... | OPENQASM 3.0;
include "stdgates.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": []} |
2093750442350825356 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 5], [4, 5], [0, 1], [2, 5]]} | {"states": [37, 21], "expectation_value": -0.7084936454576373, "params": [[[1.5358, 0.0063, 0.008700000000000001, 0.0027], [1.5673000000000001, 0.0029000000000000002, 0.7835000000000001, 0.006900000000000001], [1.365, 0.0095, 0.0073, 0.0025], [0.1812, 0.0029000000000000002, 1.5564, 0.0021000000000000003], [1.3798000000... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 12 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["101010", "011110", "010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.5358) q[0];
rz(0.0063) q[0];
ry(1.5673) q[1];
rz(0.0029) q[1];
ry(1.365) q[2];
rz(0.0095) q[2];
ry(0.1812) q[3];
rz(0.0029) q[3];
ry(1.3798) q[4];
rz(0.0037) q[4];
ry(1.7893) q[5];
rz(0.0086) q[5];
cz q[1], q[0];
cz q[3], q[2];
cz q[5], q[4];
ry(0.7835) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [98, 63], "expectation_value": -5.249370902164646, "params": [[-0.003, -0.0031000000000000003, 0.7805000000000001, 0.0068000000000000005, 0.7815000000000001, 0.0031000000000000003, -0.003], [-1.5884, 0.7855000000000001, 1.5709000000000002, 0.0023, 1.5772000000000002, 0.7852, -1.5862], [-1.5843, 1.5686, 1.571... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 9 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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(-0.003) q[0];
rx(-0.0031) q[1];
rx(0.7805) q[2];
rx(0.0068) q[3];
rx(0.7815) q[4];
rx(0.0031) q[5];
rx(-0.003) ... | OPENQASM 3.0;
include "stdgates.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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
07dc38d1dc363182151755eeee21e61e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [91, 127], "expectation_value": -2.249906288102795, "params": [[0.004200000000000001, -0.0021000000000000003, -0.0063, 0.7823, 0.7817000000000001, -0.0006000000000000001, 0.0025, 0.001], [0.002, 0.0115, 0.002, -0.0103, -0.07830000000000001, -0.0021000000000000003, -0.0045000000000000005, -0.0022], [0.9017000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 9 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "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];
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(0.0042) q[0];
rx(-0.0021) q[1];
rx(-0.0063) q[2];
rx(0.7823) q[3];
rx(0.7817) q[4];
rx(-... | OPENQASM 3.0;
include "stdgates.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": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 10.673032999038696} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "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(-1.5681) q[4];
cry(-1.0343) q[1], q[3];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[1];
ry(0.7003) q[2];
ry(-0.4549) q[3];
ry(-0.4549) q[0];
cry(0.4578) q[2], q[1];
cry(0.4515) q[1], q[2];
cry(-0.3537) q[1], q[0];
cry(-0.34... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
fb354d60453679d679afcbc2ef259e36 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [243, 227], "expectation_value": -1.1623498800909258, "params": [1.0098, -0.0882, 0.9981000000000001, -0.1885, 1.0008000000000001, -0.1458, 0.7618, -0.2369, 0.0964, -0.44820000000000004, 0.3541, 0.3453, 1.0017, 0.307, 0.9937, 0.0944, 1.0103, 0.0027, 1.0015, 0.0086, 1.0048000000000001, 0.009600000000000001, 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... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["00011100", "01001010", "10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0098) q[0];
rz(-0.0882) q[0];
rx(0.9981) q[1];
rz(-0.1885) q[1];
rx(1.0008) q[2];
rz(-0.1458) q[2];
rx(0.7618) q[3];
rz(-0.2369) q[3];
rx(0.0964) q[4];
rz(-0.4482) q[4];
rx(0.3541) q[5];
rz(0.3453) q[5];
rx(1.0017) q[6];
rz(0.307) q[6];
rx(0.9937) 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": []} |
-522717970595460163 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6, 7, 8], [8, 1, 2, 5], [8, 0, 4], [1, 4, 7], [3, 4, 6], [2, 3, 5, 7], [0, 1, 2, 6, 7, 8], [1, 5, 6], [0, 2, 4, 7]]} | {"states": [127, 95], "expectation_value": -1.4729401558834359, "params": [1.0773000000000001, 0.046, 0.891, 0.0068000000000000005, 0.9207000000000001, 0.0546, 0.8684000000000001, 0.0059, 1.0997000000000001, -0.015600000000000001, 1.0892, 0.0018000000000000002, 1.0772000000000002, 0.038900000000000004, 0.94490000000000... | 0.06666666666666667 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(6) @ Z(1)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(3)) + 0.2333333333333333 * (Z(7) @ Z(1)) + 0.15 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.383333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0773) q[0];
rz(0.046) q[0];
rx(0.9207) q[1];
rz(0.0546) q[1];
rx(1.0997) q[2];
rz(-0.0156) q[2];
rx(1.0772) q[3];
rz(0.0389) q[3];
rx(1.1001) q[4];
rz(-0.0236) q[4];
rx(1.1005) q[5];
rz(-0.0222) q[5];
rx(1.1016) q[6];
rz(-0.0218) q[6];
rx(1.0944) 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": []} |
5e1f1e75ba04327de43b1491321a7511 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.410306341950356, "params": [[[0.0033, 0.0059], [0.0027, 0.0063], [0.0025, 0.0027], [0.0027, 0.0019], [-0.0027, 0.006900000000000001], [0.0023, 0.0095], [0.0025, 0.0025], [1.6029, 0.005200000000000001]]], "bitstrings": ["11111111", "11111110"], "total_optimization_steps": 160,... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(0.0059) q[0];
rx(0.0027) q[1];
rz(0.0063) q[1];
rx(0.0025) q[2];
rz(0.0027) q[2];
rx(0.0027) q[3];
rz(0.0019) q[3];
rx(-0.0027) q[4];
rz(0.0069) q[4];
rx(0.0023) q[5];
rz(0.0095) q[5];
rx(0.0025) q[6];
rz(0.0025) q[6];
rx(1.6029) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a3321da1469fc4651f7b228a11447db0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 15, "source... | {"states": [185, 177], "expectation_value": -37.700450093826674, "params": [-0.0019, 0.0028, 2.2982, 0.0035, -0.003, 0.0002, 2.3009, 0.0023, 2.3006, 0.008, 1.4874, 0.0032, 0.0029000000000000002, 0.001, 1.2944, 0.007500000000000001, 2.2918000000000003, 0.0043, 0.0089, 0.001, 0.0002, 0.0059, 0.0044, 0.008, 0.0092, 0.003]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) + -7.5 * Z(0) + 2.5 * Z... | 3 | 9 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0019) q[0];
rz(0.0028) q[0];
rx(2.2982) q[1];
rz(0.0035) q[1];
rx(-0.003) q[2];
rz(0.0002) q[2];
rx(2.3009) q[3];
rz(0.0023) q[3];
rx(2.3006) q[4];
rz(0.008) q[4];
rx(1.4874) q[5];
rz(0.0032) q[5];
rx(0.0029) q[6];
rz(0.001) q[6];
rx(1.2944) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
2766216575d506af6dd43cf61e47f17c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -20.50201377430724, "params": [[[1.5767, 0.007], [0.0025, 0.006200000000000001], [0.0023, 0.0054], [0.0024000000000000002, 0.0059], [-0.0026000000000000003, 0.0027], [0.0027, 0.0027], [-0.008700000000000001, 0.0004], [-0.003, 0.008], [3.16, 0.0081]]], "bitstrings": ["00000000... | -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 ... | 2 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5767) q[0];
rz(0.007) q[0];
rx(0.0025) q[1];
rz(0.0062) q[1];
rx(0.0023) q[2];
rz(0.0054) q[2];
rx(0.0024) q[3];
rz(0.0059) q[3];
rx(-0.0026) q[4];
rz(0.0027) q[4];
rx(0.0027) q[5];
rz(0.0027) q[5];
rx(-0.0087) q[6];
rz(0.0004) q[6];
rx(-0.003) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 0} | {"circuits": [], "gradients": []} |
1d5830a984622eead42a5eae40078f2f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [79, 15], "expectation_value": -2.489313939330272, "params": [0.3926, 0.0658, 0.1282, -0.1433, 0.06720000000000001, -0.026000000000000002, 0.4032, -0.0022, 0.4056, 0.0012000000000000001, 0.402, 0.0004, 0.40180000000000005, -0.0051, 0.38920000000000005, 0.06720000000000001, 0.12240000000000001, -0.1375, 0.049... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3926) q[0];
rz(0.0658) q[0];
rx(0.1282) q[1];
rz(-0.1433) q[1];
rx(0.0672) q[2];
rz(-0.026) q[2];
rx(0.4032) q[3];
rz(-0.0022) q[3];
rx(0.4056) q[4];
rz(0.0012) q[4];
rx(0.402) q[5];
rz(0.0004) q[5];
rx(0.4018) q[6];
rz(-0.0051) q[6];
crx(0.3115) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [69, 114], "expectation_value": -0.059351178461766824, "params": [[0.0437], [-0.031900000000000005]], "bitstrings": ["0111010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008098276714896905, 0.008185100230955353], "optimization_time": 1.4445655345916748} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0437) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(0.0437) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.0437) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0437) q[2];
cx q[4], q[2];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [0, 1], "expectation_value": -1.6248014268778028, "params": [[[-0.0013000000000000002, 0.32120000000000004], [0.0013000000000000002, 0.4329], [0.0028, 0.4405], [0.6099, 0.0038]], [[-0.009000000000000001, 0.3408], [0.0046, 0.4681], [0.0043, 0.4566], [0.6086, 0.0038]], [[-0.0015, 0.0012000000000000001], [0.001... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.0013) q[0];
rz(0.3212) q[0];
rx(0.0013) q[1];
rz(0.4329) q[1];
rx(0.0028) q[2];
rz(0.4405) q[2];
rx(0.6099) q[3];
rz(0.0038) q[3];
rx(-0.009) q[0];
rz(0.3408) q[0];
rx(0.0046) q[1];
rz(0.4681) q[1];
rx(0.0043) q[2];
rz(0.4566) q[2];
rx(0.6086) q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
49c7a353075b9efbb859265b467ce241 | 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": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [13, 205], "expectation_value": -11.310544026093464, "params": [[[-0.117, -0.3766, 0.009600000000000001, 0.009600000000000001], [-0.0057, 0.5869, -0.015600000000000001, 0.512], [0.0199, -1.8633000000000002, -0.02, 0.6003000000000001], [0.0019, -0.1427, 0.0027, 2.2377000000000002], [0.0026000000000000003, 2.3... | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 11 | 9 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.117) q[0];
rz(-0.3766) q[0];
ry(-0.0057) q[1];
rz(0.5869) q[1];
ry(0.0199) q[2];
rz(-1.8633) q[2];
ry(0.0019) q[3];
rz(-0.1427) q[3];
ry(0.0026) q[4];
rz(2.3397) q[4];
ry(0.0024) q[5];
rz(-0.0881) q[5];
ry(0.0027) q[6];
rz(-2.0166) q[6];
ry(0.0028) 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": 8} | {"circuits": [], "gradients": []} |
-7909338658467892744 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 4, 5], [1, 5], [0, 2, 3, 4, 6], [5, 6], [0, 5]]} | {"states": [121, 117], "expectation_value": -0.8900565372057438, "params": [[-0.5529000000000001], [0.3758]], "bitstrings": ["0000110", "0001010"], "total_optimization_steps": 60, "probabilities": [0.02918143771921229, 0.02956001276395354], "optimization_time": 2.895815849304199} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9, "smallest_bitstrings": ["0001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0553) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0553) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1106) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0553) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
c... | null | {"circuits": [], "gradients": []} |
4547784514323915808 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 12, 7], [9, 4], [0, 3, 5, 7, 8, 10, 11], [12, 5, 6], [4, 7], [1, 2, 6, 8, 9, 12], [3, 12], [2, 4, 5, 6, 8, 11], [0, 1, 3, 9, 10], [10, 12, 4], [8, 9, 11], [1, 3, 4, 5, 8, 10], [0, 1, 2, 3, 5, 7, 11], [2, 12, 6, 7], [9, 5, 7]]} | {"states": [7575, 3479], "expectation_value": -2.9644909020810526, "params": [[[1.4865000000000002, 0.0008], [2.8929, 0.0031000000000000003], [2.8995, 0.0088], [1.4768000000000001, 0.0066], [2.8930000000000002, 0.009300000000000001], [2.1312, 0.00030000000000000003], [0.863, 0.0083], [0.6673, 0.007500000000000001], [2.... | 0.13333333333333333 * (Z(0) @ Z(12)) + 0.11666666666666667 * (Z(4) @ Z(12)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(10) @ Z(12)) + 0.13095238095238093 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(4)) + 0.5 * (Z(7) @ Z(12)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(10)) + 0.05 * (Z(6) @ Z(... | 1 | 13 | 1 | {"smallest_eigenvalues": [-3.952380952380951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.933333333333333, "smallest_bitstrings": ["1001001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.4865) q[0];
rz(0.0008) q[0];
rx(2.8929) q[1];
rz(0.0031) q[1];
rx(2.8995) q[2];
rz(0.0088) q[2];
rx(1.4768) q[3];
rz(0.0066) q[3];
rx(2.893) q[4];
rz(0.0093) q[4];
rx(2.1312) q[5];
rz(0.0003) q[5];
rx(0.863) q[6];
rz(0.0083) q[6];
rx(0.6673) 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": []} |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [5, 37], "expectation_value": -6.194362951981871, "params": null, "bitstrings": ["111111010", "111011010"], "total_optimization_steps": 28, "probabilities": [0.21487139127407406, 0.2154245891814615], "optimization_time": 32.53942656517029} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.... | 1 | 9 | 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": ["111111110", "111011110", "111011010", "111111010", "111001010", "111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[5];
ry(-1.5706) q[4];
ry(-1.5486) q[1];
cry(-1.5158) q[8], q[0];
ry(1.0693) q[8];
ry(-1.5157) q[2];
ry(-0.6095) q[0];
ry(-1.4446) q[7];
cry(0.3595) q[6], q[8];
cry(-0.1437) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) 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] = ... |
30e28b56cad01a233ddf0894e9b7eaa8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight": 5... | {"states": [126, 118], "expectation_value": -7.314265652082023, "params": [[0.055900000000000005], [-0.0572]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006615372062547606, 0.0076914569426635195], "optimization_time": 2.002181053161621} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 10.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.3913) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3913) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3913) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3913) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [2007, 1751], "expectation_value": -4.851959297098119, "params": [1.2851000000000001, 0.0238, 1.0878, 0.003, 1.3780000000000001, 0.055400000000000005, 1.3551, 0.0081, 1.1236000000000002, -0.19790000000000002, 1.0766, 0.0034000000000000002, 1.399, -0.1466, 1.3989, 0.0014, 1.2693, -0.0308, 1.2414, 0.0052000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.2851) q[0];
rz(0.0238) q[0];
rx(1.378) q[1];
rz(0.0554) q[1];
rx(1.1236) q[2];
rz(-0.1979) q[2];
rx(1.399) q[3];
rz(-0.1466) q[3];
rx(1.2693) q[4];
rz(-0.0308) q[4];
rx(1.046) q[5];
rz(0.2274) q[5];
rx(1.2518) q[6];
rz(-0.0346) q[6];
rx(1.0181) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
3535227547621801589 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 7], [8, 2, 10, 7], [0, 3], [1, 10], [9, 4], [3, 5], [10, 6]]} | {"states": [1918, 1854], "expectation_value": -1.2352475414566269, "params": [1.1838, -0.22510000000000002, 1.6043, -0.0011, 1.6032000000000002, 0.0031000000000000003, 0.7717, 0.5735, 1.0535, -0.5961000000000001, 1.5951000000000002, 0.0061, 1.6012000000000002, 0.001, 1.5962, 0.0016, 1.6089, -0.0035, 1.6061, -0.31470000... | 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.166666666666667, "smallest_bitstrings": ["00010000011", "01110010010", "01010010110", "11001111000", "01011010100", "01111010000", "00011000001", "11000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.1838) q[0];
rz(-0.2251) q[0];
rx(1.6043) q[1];
rz(-0.0011) q[1];
rx(1.6032) q[2];
rz(0.0031) q[2];
rx(0.7717) q[3];
rz(0.5735) q[3];
rx(1.0535) q[4];
rz(-0.5961) q[4];
rx(1.5951) q[5];
rz(0.0061) q[5];
rx(1.6012) q[6];
rz(0.001) q[6];
rx(1.5962) 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.4725971043988166, "params": [0.903, -0.0004, -0.0051, 0.0927, 0.9038, -0.0018000000000000002, 0.9033, 0.3138, 0.1933, 0.5042, 0.6909000000000001, -0.19940000000000002, 0.9092, -0.06770000000000001, 0.9079, 0.0047, 0.0016, 0.005200000000000001, 0.9058, 0.007200000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.903) q[0];
rz(-0.0004) q[0];
rx(-0.0051) q[1];
rz(0.0927) q[1];
rx(0.9038) q[2];
rz(-0.0018) q[2];
rx(0.9033) q[3];
rz(0.3138) q[3];
rx(0.1933) q[4];
rz(0.5042) q[4];
rx(0.6909) q[5];
rz(-0.1994) q[5];
rx(0.9092) q[6];
rz(-0.0677) q[6];
crz(0.003) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -20.072632303556077, "params": [[-0.0379, 0.0031000000000000003, 0.0092], [0.0781, 0.06380000000000001, 0.057600000000000005]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.014126200759260278, 0.015580361189981648], "optimization... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.3411) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.3411) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.3411) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(-0.3411) q[5];
cx q[3], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} |
6842c95d9f8f8e6ed9a30462c7d1331d | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -8.485935409851558, "params": [[[-0.0029000000000000002, 0.7017], [-0.1715, -0.0029000000000000002], [-0.0033, 0.0025], [-0.0022, -0.0014], [-0.0022, -0.0017000000000000001], [-0.0025, -0.0033], [-0.0021000000000000003, -0.0028], [-0.0023, -0.002], [-0.0026000000000000003, -0.... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0029) q[0];
ry(-0.1715) q[1];
ry(-0.0033) q[2];
ry(-0.0022) q[3];
ry(-0.0022) q[4];
ry(-0.0025) q[5];
ry(-0.0021) q[6];
ry(-0.0023) q[7];
ry(-0.0026) q[8];
ry(-0.0023) q[9];
ry(0) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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": 10} | {"circuits": [], "gradients": []} |
44edd9eabf2c794d8db092dc419f94d8 | 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": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -11.983309540265404, "params": [[[0.0079, 0.003], [0.0012000000000000001, 0.0066], [0.0009000000000000001, 0.003], [0.0002, -0.0033], [0.0091, 0.0027], [0.0022, 0.0027], [0.00030000000000000003, -0.0033], [0.0037, 0.0029000000000000002], [0.0028, -0.0032], [-1.4181000000000... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(10) @ ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["10000000000", "10010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0079) q[0];
ry(0.0012) q[1];
ry(0.0009) q[2];
ry(0.0002) q[3];
ry(0.0091) q[4];
ry(0.0022) q[5];
ry(0.0003) q[6];
ry(0.0037) q[7];
ry(0.0028) q[8];
ry(-1.4181) q[9];
ry(-0.0622) 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] 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": []} |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.4055147018013405, "params": [0.3926, 0.006, 2.2073, 0.005, 2.1950000000000003, 0.007, 2.2099, 0.0027, 2.2057, 0.0086, 1.5163, 0.009600000000000001, 2.204, 0.0021000000000000003, 0.3871, 0.0022, 2.2043, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.000900000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3926) q[0];
rz(0.006) q[0];
rx(2.2073) q[1];
rz(0.005) q[1];
rx(2.195) q[2];
rz(0.007) q[2];
rx(2.2099) q[3];
rz(0.0027) q[3];
rx(2.2057) q[4];
rz(0.0086) q[4];
rx(1.5163) q[5];
rz(0.0096) q[5];
rx(2.204) q[6];
rz(0.0021) q[6];
rx(0.3871) q[7];
rz(0.0022)... | OPENQASM 3.0;
include "stdgates.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": []} |
46d86ec72ad4dbdd13ea259386ca0d6b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [0, 15], "expectation_value": -2.960031054191788, "params": [[-0.0521], [0.06280000000000001]], "bitstrings": ["1111111111", "1111110000"], "total_optimization_steps": 10, "probabilities": [0.0018111581891404112, 0.0018989000564670004], "optimization_time": 0.8903975486755371} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["1111110000"]} | 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(0.3647) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1042) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3126) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3647) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"node": 1} | {"circuits": [], "gradients": []} |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1999], "expectation_value": -9.741378791395302, "params": [0.3755, 0.1638, -0.7784000000000001, 0.0047, 0.7712, 0.0352, -0.8007000000000001, 0.0034000000000000002, -0.8144, 1.9127, -0.3316, 0.0027, -0.8695, 1.5019, 0.4686, 0.0057, -0.769, -1.5966, -0.12240000000000001, 0.0078000000000000005, 0.0024000000... | -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) ... | 6 | 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;
rx(0.3755) q[0];
rz(0.1638) q[0];
rx(0.7712) q[1];
rz(0.0352) q[1];
rx(-0.8144) q[2];
rz(1.9127) q[2];
rx(-0.8695) q[3];
rz(1.5019) q[3];
rx(-0.769) q[4];
rz(-1.5966) q[4];
rx(0.0024) q[5];
rz(0.9275) q[5];
rx(0.0023) q[6];
rz(0.9079) q[6];
rx(0.9181) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
fbd951d8e0967f93aa199e767c7a8404 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3050, 3054], "expectation_value": -2.6915423129271354, "params": [0.5760000000000001, 0.5733, 1.4034, 1.4036, 0.36250000000000004, 0.36810000000000004, 1.4031, 1.3980000000000001, 1.3994, 1.3974, 1.3940000000000001, 1.3969, 1.4022000000000001, 1.399, 1.3935, 1.3903, 0.0477, 0.0516, 1.4027, 1.4067, 0.8112, 0... | 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)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z(3) @ Z(6)) + 0.03125 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.9... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.576) q[0];
ry(1.4034) q[1];
ry(0.3625) q[2];
ry(1.4031) q[3];
ry(1.3994) q[4];
ry(1.394) q[5];
ry(1.4022) q[6];
ry(1.3935) q[7];
ry(0.0477) q[8];
ry(1.4027) q[9];
ry(0.8112) q[10];
ry(1.4044) q[11];
ry(0.3515) q[12];
crz(-0.526) q[12], q[0];
crz(0.315) ... | OPENQASM 3.0;
include "stdgates.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": []} |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [234, 122], "expectation_value": -20.6032470511625, "params": [[-0.0364, 0.07], [0.06670000000000001, -0.0516]], "bitstrings": ["00010101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009599321394441845, 0.010783362260873848], "optimization_time": 4.867849111557007} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "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(-0.2912) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2912) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2912) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2912) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
f4058862d2cc91e963663e2c69858d5f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1622, 1654], "expectation_value": -2.963502715138249, "params": [[[0.49050000000000005, 0.0077], [1.0643, 0.021500000000000002], [-0.0044, 0.0111], [0.0004, -0.007200000000000001], [0.7861, 0.7531], [0.6324000000000001, 0.6577000000000001], [0.5042, 0.674], [0.2059, 0.6697000000000001], [-0.1147000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(6) @ Z(4)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["00110010010", "00110001100", "00110... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4905) q[0];
ry(1.0643) q[1];
ry(-0.0044) q[2];
ry(0.0004) q[3];
ry(0.7861) q[4];
ry(0.6324) q[5];
ry(0.5042) q[6];
ry(0.2059) q[7];
ry(-0.1147) q[8];
ry(1.0794) q[9];
ry(0.2833) 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] 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": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [0, 1], "expectation_value": -3.533862261248462, "params": [[[0.0035, 0.4207], [0.0026000000000000003, 0.5942000000000001], [0.0022, 0.5941000000000001], [0.0022, 0.5908], [0.8006000000000001, 0.0037]], [[0.0036000000000000003, 0.002], [0.0026000000000000003, 0.0082], [0.0022, 0.008400000000000001], [0.0022,... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0035) q[0];
rz(0.4207) q[0];
rx(0.0026) q[1];
rz(0.5942) q[1];
rx(0.0022) q[2];
rz(0.5941) q[2];
rx(0.0022) q[3];
rz(0.5908) q[3];
rx(0.8006) q[4];
rz(0.0037) q[4];
rx(0.0036) q[0];
rz(0.002) q[0];
rx(0.0026) q[1];
rz(0.0082) q[1];
rx(0.0022) q[2];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
13395b3e8f5e4d47dab66af622a16025 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [56, 63], "expectation_value": -8.539368577746206, "params": null, "bitstrings": ["000111", "000000"], "total_optimization_steps": 63, "probabilities": [0.1105349609862457, 0.5144794861894876], "optimization_time": 43.936413526535034} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[5], q[3];
cry(1.5706) q[5], q[4];
cry(0.838) q[4], q[5];
cry(1.5681) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.2536) q[0], q[1];
cry(0.4771) q[0], q[2];
cry(0.3107) q[4], q[3];
ry(-0.1694) q[0];
cry... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
1a255f6744625db820c74a987d4dbcf8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [63, 511], "expectation_value": -1.3905023642220513, "params": [[-0.057600000000000005], [0.058600000000000006]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.002880305981870339, 0.00290963381699694], "optimization_time": 4.08241605758667} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2304) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1728) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0576) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.288) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
... | {"node": 2} | {"circuits": [], "gradients": []} |
ae5b1dd3d61720bed3e2235ffd1a2339 | max_flow | 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": 4, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "source": 3, "target": 1... | {"states": [8126, 7102], "expectation_value": -15.561836181923182, "params": [[[0.0034000000000000002, 0.0027], [-0.5169, 0.0165], [0.0001, 0.0821], [0.8756, 0.0016], [0.0032, -0.0014], [0.0024000000000000002, -0.0021000000000000003], [0.0026000000000000003, -0.0019], [1.5666, -0.0027], [0.0019, 0.0029000000000000002],... | 0.5 * (Z(6) @ Z(11)) + 2.0 * (Z(12) @ Z(11)) + 1.0 * (Z(12) @ Z(6)) + 1.0 * (Z(13) @ Z(11)) + 0.5 * (Z(13) @ Z(6)) + 2.0 * (Z(13) @ Z(12)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(12)) + -0.5 * (Z(1) @ Z(13)) + -1.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(12)) + -1.0 * (Z(2) ... | 15 | 14 | 3 | {"smallest_eigenvalues": [-15.99999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999892, "smallest_bitstrings": ["10010001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0034) q[0];
ry(-0.5169) q[1];
ry(0.0001) q[2];
ry(0.8756) q[3];
ry(0.0032) q[4];
ry(0.0024) q[5];
ry(0.0026) q[6];
ry(1.5666) q[7];
ry(0.0019) q[8];
ry(0.0021) q[9];
ry(0.002) q[10];
ry(0.0003) q[11];
ry(-0.1274) q[12];
ry(-0.0066) q[13];
cx q[13], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b21df6864e484025c84c79a1c5fc0ba8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [43, 171], "expectation_value": -2.5832328718312625, "params": [1.6022, 0.009300000000000001, 0.4721, 0.004, 1.6098000000000001, 0.0089, 0.5176000000000001, 0.009300000000000001, 1.6092000000000002, 0.0043, 0.0026000000000000003, 0.0035, 1.6097000000000001, 0.006500000000000001, 1.6124, 0.004, 0.0004, 0.0098... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(7) | 3 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01010100", "00010110", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6022) q[0];
rz(0.0093) q[0];
rx(0.4721) q[1];
rz(0.004) q[1];
rx(1.6098) q[2];
rz(0.0089) q[2];
rx(0.5176) q[3];
rz(0.0093) q[3];
rx(1.6092) q[4];
rz(0.0043) q[4];
rx(0.0026) q[5];
rz(0.0035) q[5];
rx(1.6097) q[6];
rz(0.0065) q[6];
rx(1.6124) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [7, 6], "expectation_value": -1.99657617846379, "params": [[[0.003, 1.5431000000000001], [1.475, -0.003], [1.5821, 0.003]]], "bitstrings": ["000", "001"], "total_optimization_steps": 160, "probabilities": [0.49788294533439703, 0.49974696439684874], "optimization_time": 2.960726261138916} | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 15 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
ry(0.003) q[0];
ry(1.475) q[1];
ry(1.5821) q[2];
cx q[2], q[0];
cx q[1], q[2];
cx q[0], q[1];
ry(1.5431) q[0];
ry(-0.003) q[1];
ry(0.003) q[2];
cx q[2], q[1];
cx q[0], q[2];
cx q[0], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[3] c;
qubit[3] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
cx q[2], q[0];
cx q[1], q[2];
cx q[0], q[1];
ry(x3) q[0];
ry(x4) q[1];
ry(x0) q[2];
cx q[2], q[1];
cx q[0], q[2];
cx q[0]... | {"node": 2} | {"circuits": [], "gradients": []} |
928b5ed8abe18a2a0fcf5e410c4db4f8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 9}, {"source": 1, "target":... | {"states": [90, 94], "expectation_value": -5.576235715216855, "params": [[[0.003, 0.0061], [0.16920000000000002, 0.004200000000000001], [-0.0105, 0.0013000000000000002], [1.6072000000000002, 0.0064], [0.0018000000000000002, 0.0089], [1.6091, 0.0082], [1.6102, 0.0034000000000000002], [1.6041, 0.0035], [1.6063, 0.0083], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.003) q[0];
rz(0.0061) q[0];
rx(0.1692) q[1];
rz(0.0042) q[1];
rx(-0.0105) q[2];
rz(0.0013) q[2];
rx(1.6072) q[3];
rz(0.0064) q[3];
rx(0.0018) q[4];
rz(0.0089) q[4];
rx(1.6091) q[5];
rz(0.0082) q[5];
rx(1.6102) q[6];
rz(0.0034) q[6];
rx(1.6041) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
b8ec675dd91ebbd5410a74dcc6fca3e0 | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.863045336622815, "params": [-0.0053, 0.055, 0.0034000000000000002, 0.1403, 0.005200000000000001, 0.1169, 0.0038, 0.14800000000000002, -0.0011, 0.1374, 0.0063, 0.1678, 0.0053, 0.1149, -0.0028, 0.1713, 0.004, 0.1575, 0.0081, 0.11570000000000001, -0.0017000000000000001, 0.1686, ... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 6 | 10 | 4 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0053) q[0];
rz(0.055) q[0];
rx(0.0052) q[1];
rz(0.1169) q[1];
rx(-0.0011) q[2];
rz(0.1374) q[2];
rx(0.0053) q[3];
rz(0.1149) q[3];
rx(0.004) q[4];
rz(0.1575) q[4];
rx(-0.0017) q[5];
rz(0.1686) q[5];
rx(0.006) q[6];
rz(0.105) q[6];
rx(0.0031) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 307.92302322387695} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5706) q[11];
ry(1.5681) q[7];
ry(1.5681) q[3];
ry(1.5486) q[1];
ry(1.4449) q[9];
cry(-1.0341) q[0], q[2];
cry(-1.0315) q[8], q[6];
ry(1.067) q[8];
cry(-0.7... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
9dde49caf7002d989ed9964e142d5091 | 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": [1108, 1114], "expectation_value": -70.3510383188262, "params": [[[-1.1574, 1.4991], [1.4973, 1.5017], [-1.3636000000000001, 1.4907000000000001], [0.1658, 1.4868000000000001], [-1.4849, 1.4904000000000002], [1.5017, 1.5027000000000001], [1.5078, 1.4853], [1.0841, 1.4912], [1.0827, -0.0014], [1.5023, 1.492400... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(5)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 3.0 * Z(0) + 4.5 * Z(3) + 6.5 * Z(5) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["101110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-1.1574) q[0];
ry(1.4973) q[1];
ry(-1.3636) q[2];
ry(0.1658) q[3];
ry(-1.4849) q[4];
ry(1.5017) q[5];
ry(1.5078) q[6];
ry(1.0841) q[7];
ry(1.0827) q[8];
ry(1.5023) q[9];
ry(-1.3981) q[10];
ry(1.4944) 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[... | {"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": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [0, 1], "expectation_value": -3.286570927196365, "params": [[[-0.0033, 0.006200000000000001], [0.0027, 0.003], [1.1655, 0.0027], [0.0025, 0.0081], [1.6074000000000002, 0.0039000000000000003]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.3358178357938834, 0.36132726... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0033) q[0];
rz(0.0062) q[0];
rx(0.0027) q[1];
rz(0.003) q[1];
rx(1.1655) q[2];
rz(0.0027) q[2];
rx(0.0025) q[3];
rz(0.0081) q[3];
rx(1.6074) q[4];
rz(0.0039) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x2) q[2];
rx... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
49af616fa54ac08406425ee8e91de42a | 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": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [24, 25], "expectation_value": -2.4579091483171625, "params": [0.0027, 0.0066, 0.0029000000000000002, 0.8804000000000001, 1.608, 0.0036000000000000003, 1.6103, -0.0033, 1.1998, 0.0008, 0.0026000000000000003, 0.8861, 1.6053000000000002, 0.0082, 0.0034000000000000002, 0.0029000000000000002, 1.5793000000000001,... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(2) @ Z(6) @ Z(4)) ... | 4 | 7 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0027) q[0];
rz(0.0066) q[0];
rx(0.0029) q[1];
rz(0.8804) q[1];
rx(1.608) q[2];
rz(0.0036) q[2];
rx(1.6103) q[3];
rz(-0.0033) q[3];
rx(1.1998) q[4];
rz(0.0008) q[4];
rx(0.0026) q[5];
rz(0.8861) q[5];
rx(1.6053) q[6];
rz(0.0082) q[6];
crx(0.0026) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 27.155003786087036} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5486) q[6], q[0];
ry(1.035) q[6];
ry(1.5566) q[3];
cry(-0.4546) q[3], q[0];
cry(0.3664) q[3], q[6];
ry(-0.2379) q[0];
cry(1.0298) q[1], q[5];
cry(0.1269) q[5], q[6];
cry(0.6734) q[3], q[4];
ry(0.39... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5486) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
d9325feb8a7df3daf05f172adf67b14e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -25.545293652846773, "params": [-0.2398, 0.0032, -0.2288, 0.007500000000000001, 0.0039000000000000003, 0.112, 0.0009000000000000001, 0.1237, 0.2973, -0.0005, 0.30160000000000003, -0.00030000000000000003, -0.0041, 0.1686, 0.0026000000000000003, 0.2412, -0.0039000000000000003, 0.... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -0.5 * (Z(9) ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-29.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.2398) q[0];
rz(0.0032) q[0];
rx(0.0039) q[1];
rz(0.112) q[1];
rx(0.2973) q[2];
rz(-0.0005) q[2];
rx(-0.0041) q[3];
rz(0.1686) q[3];
rx(-0.0039) q[4];
rz(0.1639) q[4];
rx(-0.0055) q[5];
rz(0.1943) q[5];
rx(-0.0004) q[6];
rz(0.2345) q[6];
rx(0.0064) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b956dad7e59a91fa0a9f24d65e68b450 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [145, 177], "expectation_value": -10.018606822590234, "params": [[0.0016, 0.0025, 1.5887, 0.0018000000000000002, 0.22940000000000002, 1.3219, -0.0021000000000000003, -0.0024000000000000002, -0.0004, 1.5862], [-0.0021000000000000003, 0.0025, 1.5803, 0.0047, 1.6028, 1.6016000000000001, -0.0021000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0016) q[0];
ry(0.0025) q[1];
ry(1.5887) q[2];
ry(0.0018) q[3];
ry(0.2294) q[4];
ry(1.3219) q[5];
ry(-0.0021) q[6];
ry(-0.0024) q[7];
ry(-0.0004) q[8];
ry(1.5862) 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... | OPENQASM 3.0;
include "stdgates.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": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -38.44845693879818, "params": [[[0.004200000000000001, -0.3159], [0.0004, 0.343], [0.0, -0.39530000000000004], [0.004, 0.1859], [-0.0025, 0.3846], [0.6009, 0.0009000000000000001]], [[-0.0012000000000000001, -0.3386], [-0.0032, 0.3381], [-0.0025, -0.3528], [-0.0085, -0.185], [0.00... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0042) q[0];
rz(-0.3159) q[0];
rx(0.0004) q[1];
rz(0.343) q[1];
rx(0) q[2];
rz(-0.3953) q[2];
rx(0.004) q[3];
rz(0.1859) q[3];
rx(-0.0025) q[4];
rz(0.3846) q[4];
rx(0.6009) q[5];
rz(0.0009) q[5];
rx(-0.0012) q[0];
rz(-0.3386) q[0];
rx(-0.0032) q[1];
rz(0.3... | 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
6a107f1f88e08b825f227f4971e37a44 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -14.118351768312603, "params": [[[0.0026000000000000003, 1.6103], [0.0024000000000000002, 0.0026000000000000003], [0.0027, 0.0017000000000000001], [0.0024000000000000002, 0.0028], [-0.0033, 0.0032], [0.0023, 0.0023], [0.002, 0.0019], [0.0026000000000000003, 0.0022]]], "bitstrin... | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(5)) + 1.0 ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0026) q[0];
ry(0.0024) q[1];
ry(0.0027) q[2];
ry(0.0024) q[3];
ry(-0.0033) q[4];
ry(0.0023) q[5];
ry(0.002) q[6];
ry(0.0026) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 0} | {"circuits": [], "gradients": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 14.130828619003296} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[3];
ry(0.6944) q[1];
ry(-0.451) q[3];
cry(0.4963) q[2], q[1];
cry(-0.3778) q[2], q[3];
cry(0.2518) q[0], q[1];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.299863048841494, "params": [0.0012000000000000001, 0.0786, -0.0009000000000000001, 0.0896, -0.0054, 0.0648, -0.006500000000000001, 0.092, 0.0013000000000000002, 0.07440000000000001, 0.0037, 0.09280000000000001, -0.002, 0.0918, -0.005200000000000001, 0.08410000000000001, -0.004... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 4 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.0012) q[0];
rz(0.0786) q[0];
rx(-0.0009) q[1];
rz(0.0896) q[1];
rx(-0.0054) q[2];
rz(0.0648) q[2];
crz(-0.0628) q[2], q[0];
crz(-0.074) q[1], q[2];
crz(-0.0665) q[0], q[1];
rx(-0.0065) q[0];
rz(0.092) q[0];
rx(0.0013) q[1];
rz(0.0744) q[1];
rx(0.0037) 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": 1} | {"circuits": [], "gradients": []} |
837aef83bf03fd18b079a281d9de166f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [179, 122], "expectation_value": -30.92546273301872, "params": [[0.019, 0.0125, -0.0036000000000000003, -0.0008], [-0.0454, -0.0623, -0.0606, -0.0568]], "bitstrings": ["01001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.015672306863685002, 0.018148339762364036], "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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.152) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.152) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.152) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.152) q[3];
cx q[0], q[3];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
96c17e5b9e437bd6027ef84924d304b0 | max_flow | 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": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [29663, 29695], "expectation_value": -3.4518526225376176, "params": [0.4073, -0.0024000000000000002, 0.40090000000000003, -0.0004, 0.4035, 0.007, 0.0016, 0.2267, 0.0018000000000000002, 0.31420000000000003, 0.4007, 0.0024000000000000002, 0.4045, -0.002, 0.3995, -0.0023, 0.4056, -0.0032, 0.3966, 0.0054, 0.4043... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 18 | 15 | 4 | {"smallest_eigenvalues": [-44.99999999999928], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.285714285713716, "smallest_bitstrings": ["000110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.4073) q[0];
rz(-0.0024) q[0];
rx(0.4009) q[1];
rz(-0.0004) q[1];
rx(0.4035) q[2];
rz(0.007) q[2];
rx(0.0016) q[3];
rz(0.2267) q[3];
rx(0.0018) q[4];
rz(0.3142) q[4];
rx(0.4007) q[5];
rz(0.0024) q[5];
rx(0.4045) q[6];
rz(-0.002) q[6];
rx(0.3995) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -4.766891076813584, "params": null, "bitstrings": ["00011", "00000"], "total_optimization_steps": 42, "probabilities": [0.16463692917388772, 0.6295383091975105], "optimization_time": 20.50594162940979} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5706) q[3], q[4];
cry(1.5681) q[1], q[2];
ry(1.0829) q[1];
cry(1.5701) q[2], q[0];
ry(0.3995) q[2];
ry(0.4382) q[3];
cry(0.2867) q[2], q[1];
ry(0.1649) q[4];
cry(0.7626) q[4], q[3];
cry(0.0808) q[0], q[4];
cry(0.09... | null | {"node": 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];\ncry(1.5706) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.4349832410959982, "params": [0.6068, 0.0068000000000000005, 0.0009000000000000001, 0.4516, 0.6027, -0.0, 0.6069, 0.156, 0.1476, 0.2994, 0.4893, -0.0984, 0.6052000000000001, -0.029400000000000003, 0.6059, 0.0034000000000000002, 0.0034000000000000002, 0.4509, 0.6038, 0.0022, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6068) q[0];
rz(0.0068) q[0];
rx(0.0009) q[1];
rz(0.4516) q[1];
rx(0.6027) q[2];
rz(0) q[2];
rx(0.6069) q[3];
rz(0.156) q[3];
rx(0.1476) q[4];
rz(0.2994) q[4];
rx(0.4893) q[5];
rz(-0.0984) q[5];
rx(0.6052) q[6];
rz(-0.0294) q[6];
crz(0.0043) q[6], q[0];
cr... | OPENQASM 3.0;
include "stdgates.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": []} |
109dd65f843c7effe1b685156edca6d7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [13, 7], "expectation_value": -6.155393116785561, "params": [[0.0661], [-0.0713]], "bitstrings": ["11110010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006551741942120353, 0.0067930120352815496], "optimization_time": 4.353237628936768} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3636) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3636) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3636) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3636) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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],... | {"k": 5} | {"circuits": [], "gradients": []} |
f037241cdd7dd8402f016eff944b50c3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [992, 995], "expectation_value": -2.0932215128797154, "params": [[-0.0795], [0.0721]], "bitstrings": ["0000011111", "0000011100"], "total_optimization_steps": 10, "probabilities": [0.0018947278263109543, 0.0019782099498381056], "optimization_time": 1.2435345649719238} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0000011100"]} | 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(0.318) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.3975) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.3975) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.3975) q[1];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q... | {"node": 8} | {"circuits": [], "gradients": []} |
c5211bad50b928e7b2cd71a45947d261 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [476, 220], "expectation_value": -34.78626443649388, "params": [[-0.031100000000000003, -0.0007, 0.0033], [0.0729, 0.07200000000000001, 0.0589]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.00870923235443586, 0.011648180723209077], "optimization_time": 6.4058... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"]} | 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(-0.2799) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2799) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2799) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.2799) q[3];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.22985553608265344, "params": [[0.0771], [-0.0838]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.0364711240854967, 0.03771017563435744], "optimization_time": 1.4002351760864258} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0386) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0771) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0771) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.2313) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.1157) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-3251107044025627850 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [0, 3], [4, 5], [0, 5], [1, 6], [1, 3], [4, 7], [2, 6], [0, 4], [0, 1], [5, 7], [3, 5], [5, 6], [1, 2], [0, 2], [2, 5]]} | {"states": [120, 58], "expectation_value": -3.657859098877926, "params": null, "bitstrings": ["10000111", "11000101"], "total_optimization_steps": 61, "probabilities": [0.032664970756769184, 0.8235245263827672], "optimization_time": 83.6683464050293} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "01101100", "11000101", "10010011"]} | 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[5];
cry(-1.0342) q[6], q[1];
ry(1.0293) q[6];
cry(1.4052) q[6], q[3];
cry(-0.9035) q[3], q[1];
cry(-0.7688) q[6], q[5];
ry(1.2466) q[4];
cry(1.4015) q[4], q[2];
cry(-1.4638) q... | 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[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] = me... |
99b9f292e0807babec03416b96e514f4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -8.879965719336468, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 78, "probabilities": [0.1656478183656639, 0.5095529961072974], "optimization_time": 101.55859661102295} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[7], q[5];
cry(1.5681) q[4], q[2];
ry(1.0829) q[4];
cry(1.5701) q[2], q[3];
ry(0.3995) q[2];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[6];
ry(-1.0229) q[5];
ry(-0.... | null | {"node": 8} | {"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(1.5708) q[7], 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] = mea... |
-2074563811701182950 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6, 7], [2, 3, 4, 5], [1, 3], [2, 3, 4, 6], [0, 4]]} | {"states": [106, 110], "expectation_value": -1.6599633304478356, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 61, "probabilities": [0.08458699331476456, 0.6616484600864706], "optimization_time": 81.16423177719116} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01001000", "11100000", "10010001", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.3016) q[2];
cry(-1.0342) q[4], q[0];
ry(0.9267) q[4];
ry(-0.6309) q[0];
cry(-1.0702) q[1], q[3];
cry(0.4722) q[2], q[4];
ry(0.7123) q[1];
cry(-0.5069) q[2], q[3];
cry(0.5204) q[2], q[1];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3016) 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[... |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [36, 66], "expectation_value": -2.528874730819183, "params": [[-0.0661, -0.0731, -0.062, -0.0497], [0.062, 0.0738, 0.0711, 0.0694]], "bitstrings": ["1011011", "0111101"], "total_optimization_steps": 10, "probabilities": [0.02045777756527416, 0.020457777565274168], "optimization_time": 8.34995150566101} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"]} | 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(-0.0661) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0661) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0661) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0661) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
4551088094349489485 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [460, 396], "expectation_value": -1.2789816024058163, "params": [1.0028000000000001, -0.08270000000000001, 0.9942000000000001, 0.0086, 0.999, -0.09970000000000001, 1.0041, 0.006, 0.9946, 0.3159, 0.7325, 0.0076, 0.9873000000000001, -0.0466, 0.34290000000000004, 0.0034000000000000002, 0.9966, -0.0304, 0.1895, ... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0028) q[0];
rz(-0.0827) q[0];
rx(0.999) q[1];
rz(-0.0997) q[1];
rx(0.9946) q[2];
rz(0.3159) q[2];
rx(0.9873) q[3];
rz(-0.0466) q[3];
rx(0.9966) q[4];
rz(-0.0304) q[4];
rx(1.006) q[5];
rz(-0.0879) q[5];
rx(0.9985) q[6];
rz(-0.1063) q[6];
rx(0.9863) 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [61117, 59325], "expectation_value": -15.27355561832748, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.0422249952477763, 0.7004648347042955], "optimization_time": 892.5718140602112} | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(1.5708) q[15];
ry(1.5708) q[10];
ry(1.5708) q[5];
ry(1.5708) q[0];
cry(1.5681) q[5], q[12];
cry(1.5681) q[5], q[11];
cry(... | null | {"start_node": 0, "end_node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... |
c309a5b49340fd246c3b4bf5605246e0 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 8}, {"weight": 14, "sourc... | {"states": [425, 233], "expectation_value": -18.705165816428774, "params": [[-0.040400000000000005, -0.0159], [0.0732, 0.0737]], "bitstrings": ["001010110", "100010110"], "total_optimization_steps": 10, "probabilities": [0.008547757450626785, 0.010160593742956992], "optimization_time": 2.9661240577697754} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(2) + 6.5 * Z(0) + 12.5 * Z(1) + 12.0 * Z(3) + 2.5 * Z(4) + 9.5 * Z(5)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100010110"]} | 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(-0.404) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.404) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.404) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.404) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 206], "expectation_value": -8.215437569961454, "params": [-0.0028, 0.006200000000000001, 2.6967000000000003, 0.003, 2.6905, 0.0027, -0.0024000000000000002, 0.0081, 1.4868000000000001, 0.0039000000000000003, 2.5048, 0.0034000000000000002, 2.7002, 0.0037, 2.7043, 0.0014, 0.003, 0.0047, 0.008, 0.005200000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0028) q[0];
rz(0.0062) q[0];
rx(2.6967) q[1];
rz(0.003) q[1];
rx(2.6905) q[2];
rz(0.0027) q[2];
rx(-0.0024) q[3];
rz(0.0081) q[3];
rx(1.4868) q[4];
rz(0.0039) q[4];
rx(2.5048) q[5];
rz(0.0034) q[5];
rx(2.7002) q[6];
rz(0.0037) q[6];
rx(2.7043) 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
5429469470455041775 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 7, 8, 9, 10], [1, 3, 7, 8, 9, 11], [9, 6], [8, 6], [1, 2, 5, 10, 11], [1, 2, 5, 7, 8, 9], [1, 2, 5, 6], [2, 4]]} | {"states": [3219, 3283], "expectation_value": -2.393006705723747, "params": [0.8758, 0.8796, 1.5651000000000002, 1.5727, 0.4642, 0.4581, 0.4682, 0.4596, 1.578, 1.5763, 0.8779, 0.8755000000000001, 0.0016, 0.0025, 1.6676, 1.4746000000000001, 0.0454, 0.0436, 0.4646, 0.4666, 1.5705, 1.5768, 1.5728, 1.5690000000000002, 0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.1 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.1 * (Z(10) @ Z(1)) + 0.03333333333333333 * (Z(10) @ Z(0)) + 0.1 * (Z(10) @ Z(9)) + 0.1 * (Z(11) @ Z(1)) + 0.03333333333333333 * (Z(11) @ Z(0)) + 0.1 * (Z(11) @ Z(9)) + 0.1 * (Z(11) @ Z(10)) + 0.08333333333333334 * (Z(2) ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.5166666666666675, -2.5166666666666675], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5166666666666666, "smallest_bitstrings": ["100100101100", "001100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.8758) q[0];
ry(1.5651) q[1];
ry(0.4642) q[2];
ry(0.4682) q[3];
ry(1.578) q[4];
ry(0.8779) q[5];
ry(0.0016) q[6];
ry(1.6676) q[7];
ry(0.0454) q[8];
ry(0.4646) q[9];
ry(1.5705) q[10];
ry(1.5728) q[11];
crz(0.0037) q[11], q[0];
crz(-0.0038) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-7669591603986973208 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 6, 7, 9], [0, 1, 2, 3, 4, 6, 9], [0, 2, 4, 5, 6, 7, 8, 9], [0, 1, 3, 4, 7], [0, 2, 3, 4, 5, 6, 8], [3, 4, 7, 8, 9]]} | {"states": [979, 983], "expectation_value": -1.1502449965340604, "params": [1.5876000000000001, 1.5596, 1.5702, 1.566, 1.5698, 1.5776000000000001, 1.5693000000000001, 1.5667, 0.0021000000000000003, 0.0021000000000000003, 2.1128, 1.0237, -0.0027, -0.0029000000000000002, -0.8039000000000001, -0.8131, 1.6677000000000002, ... | 0.14761904761904762 * (Z(0) @ Z(3)) + 0.09761904761904762 * (Z(6) @ Z(3)) + 0.11547619047619048 * (Z(6) @ Z(0)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.11785714285714287 * (Z(7) @ Z(0)) + 0.06785714285714287 * (Z(7) @ Z(6)) + 0.12380952380952381 * (Z(9) @ Z(3)) + 0.09166666666666667 * (Z(9) @ Z(0)) + 0.09166666666666... | 13 | 10 | 1 | {"smallest_eigenvalues": [-1.1595238095238098, -1.1595238095238098], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1595238095238094, "smallest_bitstrings": ["1000100000", "0000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5876) q[0];
ry(1.5702) q[1];
ry(1.5698) q[2];
ry(1.5693) q[3];
ry(0.0021) q[4];
ry(2.1128) q[5];
ry(-0.0027) q[6];
ry(-0.8039) q[7];
ry(1.6677) q[8];
ry(1.5698) q[9];
crz(0.003) q[9], q[0];
crz(-0.0029) q[8], q[9];
crz(0.4017) q[7], q[8];
crz(1.9624) 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": []} |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.04642716439034225, "params": [[-0.0199, -0.0426], [0.0193, 0.0476]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.008286749170464784, 0.008501507549247977], "optimization_time": 3.538705348968506} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.01) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.01) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.01) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.01) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [918, 934], "expectation_value": -1.3568751767113805, "params": [[[0.39490000000000003, 0.0483], [0.3966, 0.1335], [0.3957, 0.0892], [0.3401, 0.0257], [0.39490000000000003, -0.056600000000000004], [0.3941, -0.061200000000000004], [0.019100000000000002, -0.006900000000000001], [0.39940000000000003, 0.39690000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3949) q[0];
ry(0.3966) q[1];
ry(0.3957) q[2];
ry(0.3401) q[3];
ry(0.3949) q[4];
ry(0.3941) q[5];
ry(0.0191) q[6];
ry(0.3994) q[7];
ry(0.3999) q[8];
ry(0.3938) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 69.7647807598114} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | 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(1.2796) q[1];
ry(1.5599) q[3];
ry(1.0625) q[6];
ry(-1.5577) q[4];
cry(-0.4805) q[6], q[0];
cry(-0.0803) q[3], q[0];
ry(0.0001) q[0];
cry(-0.0624) q[1], q[0];
cry(-1.3832) q[3], q[6];
cry(0.0045) q[1], ... | 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(1.2796) 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", "... |
5930497901525850647 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 4], [1, 4], [2, 3]]} | {"states": [3, 28], "expectation_value": -0.010873367216083368, "params": [[0.0364], [-0.0376]], "bitstrings": ["11100", "00011"], "total_optimization_steps": 10, "probabilities": [0.03193225347687106, 0.03193225347687106], "optimization_time": 0.3450894355773926} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.0364) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.0364) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(0.0364) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(0.0364) q[3];
cx q[2], q[3];
rz(0) q[4];
rz(0) q[0];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [223, 95], "expectation_value": -2.1516777719256015, "params": [0.0023, 0.0012000000000000001, 0.663, 0.6890000000000001, 0.7156, 0.7166, 1.0031, 0.9989, 0.0039000000000000003, 0.0006000000000000001, 0.996, 0.9962000000000001, 0.995, 0.998, 0.9971000000000001, 0.9975, 1.0082, 1.0038, 1.0035, 0.9995, 0.001700... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110000", "1010100100", "1010100010", "1100100001", "1001100100", "1110100000", "1100100100", "1100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0023) q[0];
ry(0.663) q[1];
ry(0.7156) q[2];
ry(1.0031) q[3];
ry(0.0039) q[4];
ry(0.996) q[5];
ry(0.995) q[6];
ry(0.9971) q[7];
ry(1.0082) q[8];
ry(1.0035) q[9];
crx(0.0017) q[9], q[0];
crx(0.9939) q[8], q[9];
crx(0.498) q[7], q[8];
crx(0.8723) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8627cac5692b6aae3c2c208c37b0b1f4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [255, 127], "expectation_value": -0.7770913469379648, "params": [[0.0614], [-0.049300000000000004]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005153727861194218, 0.00521645703092962], "optimization_time": 1.5742201805114746} | -1.0 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "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[2], q[1];
rz(-0.1228) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(-0.307) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.1228) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.2456) q[5];
cx q[3], q[5];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[3]... | {"node": 0} | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -1.3549768887392397, "params": [[-0.0669, -0.0743, -0.0679, -0.0654], [0.07050000000000001, 0.0763, 0.0722, 0.0704]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.068867772038288, 0.07997407467636101], "optimization_time": 2.7564647197723... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0335) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0669) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0669) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.2007) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.1003) 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": 4} | {"circuits": [], "gradients": []} |
681317cce116b7c317d2d1166a0937e1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [42, 44], "expectation_value": -3.9963978963935887, "params": null, "bitstrings": ["1010101", "1010011"], "total_optimization_steps": 27, "probabilities": [0.06635262930972333, 0.9303262229214769], "optimization_time": 23.763927221298218} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0101110", "1010101", "1010011"]} | 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[0];
ry(-1.5681) q[2];
ry(-1.4449) q[6];
ry(1.4417) q[1];
ry(1.4417) q[3];
cry(-1.0343) q[4], q[5];
ry(0.7003) q[4];
cry(-0.1259) q[3], q[6];
ry(-0.4549) q[5];
cry(0.4962) q[3], q[4];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-4334583053433521702 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[2, 3, 6, 7, 8, 10, 12, 13], [0, 3, 5, 6, 7, 8, 9, 10, 11, 13], [0, 3, 5, 6, 8, 9, 10, 11, 12, 13], [3, 4, 6, 8, 9, 13], [0, 2], [1, 4, 5, 6, 8, 9, 10, 13], [0, 4, 5, 7, 8, 10, 11, 13], [1, 2, 10], [0, 1, 4, 7, 9, 13], [2, 6, 10, 11, 13], [2, 5, 7... | {"states": [12415, 13439], "expectation_value": -3.06313470672405, "params": [[[1.7004000000000001, 0.003], [3.1433, 0.0027], [0.6262, 0.0081], [1.6444, 0.0039000000000000003], [0.8391000000000001, 0.0034000000000000002], [1.1589, 0.0037], [0.8317, 0.0014], [3.1439000000000004, 0.0047], [2.7683, 0.005200000000000001], ... | 0.12023809523809523 * (Z(2) @ Z(3)) + 0.1261904761904762 * (Z(6) @ Z(3)) + 0.08571428571428572 * (Z(6) @ Z(2)) + 0.09126984126984128 * (Z(7) @ Z(3)) + 0.1357142857142857 * (Z(7) @ Z(2)) + 0.05793650793650794 * (Z(7) @ Z(6)) + 0.1357142857142857 * (Z(8) @ Z(3)) + 0.06904761904761905 * (Z(8) @ Z(2)) + 0.10238095238095239... | 1 | 14 | 1 | {"smallest_eigenvalues": [-3.8194444444443287], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.795238095237925, "smallest_bitstrings": ["00101110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(1.7004) q[0];
rz(0.003) q[0];
rx(3.1433) q[1];
rz(0.0027) q[1];
rx(0.6262) q[2];
rz(0.0081) q[2];
rx(1.6444) q[3];
rz(0.0039) q[3];
rx(0.8391) q[4];
rz(0.0034) q[4];
rx(1.1589) q[5];
rz(0.0037) q[5];
rx(0.8317) q[6];
rz(0.0014) q[6];
rx(3.1439) 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": []} |
1281665390819634262 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 4, 6, 11], [2, 3, 5, 6, 7, 10, 11], [1, 3, 4, 5, 6, 7, 9, 10, 11], [12, 6], [1, 2, 4, 5, 6, 7, 9], [0, 2, 4, 7, 11], [0, 2, 3, 5], [1, 2, 12, 7], [0, 1, 2, 4, 6, 7, 9, 10], [0, 2, 4, 9, 10, 12], [0, 1, 2, 5, 6, 7, 8, 11], [0, 3, 6, 7, 8, 10,... | {"states": [4006, 4070], "expectation_value": -4.330986729216216, "params": [0.4692, 0.4708, 1.5758, 1.5593000000000001, 1.572, 1.5675000000000001, 1.5658, 1.5627, 1.0974000000000002, 1.0931, 1.5716, 1.5691000000000002, 0.893, 0.8911, 1.5875000000000001, 1.5524, 0.49520000000000003, 0.4939, 0.5431, 0.5367000000000001, ... | 0.16666666666666669 * (Z(0) @ Z(1)) + 0.2472222222222222 * (Z(2) @ Z(1)) + 0.2595238095238095 * (Z(2) @ Z(0)) + 0.20793650793650792 * (Z(4) @ Z(1)) + 0.2845238095238095 * (Z(4) @ Z(0)) + 0.19166666666666665 * (Z(4) @ Z(2)) + 0.1861111111111111 * (Z(6) @ Z(1)) + 0.14047619047619048 * (Z(6) @ Z(0)) + 0.15436507936507934 ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.184920634920634], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.180952380952381, "smallest_bitstrings": ["1000000011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.4692) q[0];
ry(1.5758) q[1];
ry(1.572) q[2];
ry(1.5658) q[3];
ry(1.0974) q[4];
ry(1.5716) q[5];
ry(0.893) q[6];
ry(1.5875) q[7];
ry(0.4952) q[8];
ry(0.5431) q[9];
ry(1.6011) q[10];
ry(1.5948) q[11];
ry(0.2854) q[12];
crz(-0.6254) q[12], q[0];
crz(0.2249... | OPENQASM 3.0;
include "stdgates.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": []} |
a1c773c0b570f64d3c3d3a505084c546 | 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": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -1.0112524939162513, "params": [[0.057800000000000004, 0.0567], [-0.0492, -0.0449]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.011751489727928895, 0.013073582216596503], "optimization_time": 2.8077263832092285} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0867) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0289) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0578) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(-0.0289) q[6];
cx q[2], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [37, 41], "expectation_value": -0.30573844485860124, "params": [[0.059800000000000006, 0.0017000000000000001, 0.0604], [-0.07150000000000001, -0.0094, -0.0395]], "bitstrings": ["011010", "010110"], "total_optimization_steps": 10, "probabilities": [0.01869618669963271, 0.01869618669963271], "optimization_time... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"]} | 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(0.0598) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0598) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.0598) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0598) q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.0598... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 44], "expectation_value": -4.0172168905774965, "params": [[[1.6036000000000001, 0.004], [0.0015, 0.0016], [1.6057000000000001, 0.0015], [1.6085, 0.007], [0.0023, 0.0043], [0.366, 0.004]]], "bitstrings": ["110011", "010011"], "total_optimization_steps": 160, "probabilities": [0.12553920359817794, 0.13404... | 0.5 * (Z(0) @ Z(1)) + 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(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6036) q[0];
rz(0.004) q[0];
rx(0.0015) q[1];
rz(0.0016) q[1];
rx(1.6057) q[2];
rz(0.0015) q[2];
rx(1.6085) q[3];
rz(0.007) q[3];
rx(0.0023) q[4];
rz(0.0043) q[4];
rx(0.366) q[5];
rz(0.004) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
6365a3b59951c719f31900404e64ef91 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [192, 193], "expectation_value": -5.8444674393086276, "params": [0.3, 0.001, 0.3017, 0.0013000000000000002, 0.3044, 0.0034000000000000002, 0.3093, 0.0007, 0.1169, 0.0385, 0.1131, 0.043300000000000005, -0.0171, 0.1814, -0.0162, 0.1767, -0.012400000000000001, 0.1719, -0.013900000000000001, 0.1753, -0.0143, 0.1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["01111100", "01111010", "00011111", "00111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3) q[0];
rz(0.001) q[0];
rx(0.3044) q[1];
rz(0.0034) q[1];
rx(0.1169) q[2];
rz(0.0385) q[2];
rx(-0.0171) q[3];
rz(0.1814) q[3];
rx(-0.0124) q[4];
rz(0.1719) q[4];
rx(-0.0143) q[5];
rz(0.1767) q[5];
rx(0.0106) q[6];
rz(0.1736) q[6];
rx(0.2989) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
92c565ed8fed8ca60a141e6f389a7855 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [227, 218], "expectation_value": -21.997337045279036, "params": [[0.0285, 0.0125], [-0.0734, -0.0714]], "bitstrings": ["100011100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006446847371889499, 0.00799336692751024], "optimization_time": 3.4278478622436523} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"]} | 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(0.2565) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2565) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2565) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(0.2565) q[4];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
fb3661142d8e003905bb73659b60c8ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [238, 1262], "expectation_value": -2.964516340206933, "params": [[[1.3948, 1.3394000000000001, 0.0038, 0.0054], [0.7119000000000001, -1.3422, 0.8387, 0.0029000000000000002], [0.029300000000000003, -0.8746, 0.030100000000000002, 0.0089], [-0.0182, 0.0666, 0.0315, 0.006], [1.4045, 0.0015, 1.4039000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 11 | 11 | 1 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010001", "01010010100", "10100010100", "01100100100", "01010100100", "01101000001... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3948) q[0];
rz(1.3394) q[0];
ry(0.7119) q[1];
rz(-1.3422) q[1];
ry(0.0293) q[2];
rz(-0.8746) q[2];
ry(-0.0182) q[3];
rz(0.0666) q[3];
ry(1.4045) q[4];
rz(0.0015) q[4];
ry(1.4076) q[5];
rz(-0.0017) q[5];
ry(0.4812) q[6];
rz(-0.4863) q[6];
ry(0.3712) 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": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [67, 54], "expectation_value": -0.7842647215915137, "params": [[-0.0665, -0.0579, -0.0528], [0.0728, 0.06470000000000001, 0.0674]], "bitstrings": ["0111100", "1001001"], "total_optimization_steps": 10, "probabilities": [0.01311102047066871, 0.01358101976556882], "optimization_time": 4.018722772598267} | 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(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001001"]} | 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(-0.0665) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0665) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0665) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0665) q[4];
cx q[3], q[4];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
caf35114cd2a6c8ee1f15868fb61caaf | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [56, 67], "expectation_value": -1.319375119507241, "params": [[0.0745, 0.0708, 0.08070000000000001], [-0.077, -0.0629, -0.0752]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 10, "probabilities": [0.016243735009813767, 0.016262674219526967], "optimization_time": 4.24075722694397} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0745) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0745) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(0.0745) q[1];
cx q[4], q[1];
cx q[3], q[5];
rz(0.0745) q[5];
cx q[3], q[5];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9327208318935083, "params": [[0.06330000000000001], [-0.0646]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005390448566721068, 0.0054301226496583695], "optimization_time": 2.074571371078491} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0317) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(-0.1583) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.1583) q[2];
cx q[7], q[2];
cx q[1], q[2];
rz(-0.1266) q[2];
cx q[1], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
17726fd20187521f2d151fe20fe151a8 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [246, 255], "expectation_value": -18.626205837640068, "params": null, "bitstrings": ["111100001001", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.09534361379866292, 0.52242906324852], "optimization_time": 239.5255093574524} | 0.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(-1.5708) q[3];
ry(-1.5577) q[2];
cry(1.5706) q[6], q[7];
ry(1.056) q[6];
cry(1.5708) q[7], q[5];
cry(1.5708) q[5], q[4];
cry(-0.6473) q[4], q[7];
ry(-0.1153)... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\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];... |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 28], "expectation_value": -3.002348121085071, "params": null, "bitstrings": ["111010", "100011"], "total_optimization_steps": 30, "probabilities": [0.05888063726826326, 0.8445431773055133], "optimization_time": 21.57483220100403} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
cry(-1.3016) q[1], q[5];
ry(1.2945) q[3];
ry(0.7777) q[1];
ry(-0.6314) q[5];
cry(1.319) q[1], q[2];
cry(0.4657) q[3], q[1];
cry(-0.1364) q[2], q[5];
cry(-0.1259) q[2], q[0];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
336dab1a0f29cbb797a483d443b63b25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [114, 51], "expectation_value": -3.999151813678912, "params": null, "bitstrings": ["0001101", "1001100"], "total_optimization_steps": 29, "probabilities": [0.06620831063402753, 0.9331798199285607], "optimization_time": 26.902669429779053} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100", "1100100", "0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[0];
ry(0.7022) q[6];
ry(-0.4578) q[0];
cry(0.497) q[5], q[6];
cry(-0.3761) q[5], q[0];
cry(0.247... | 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", ... |
148c98be54f48380a1d59caea5fb9c95 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.3457117052311691, "params": [[-0.015600000000000001, -0.026600000000000002, -0.0441], [0.0016, 0.0082, 0.046700000000000005]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006174262863880385, 0.006882504477191763], "optimization_... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "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[1], q[0];
rz(0.0078) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0468) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0702) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0078) q[5];
cx q[0], q[5];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
690ab9a303c84e82b8d6c798626278a5 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.33852536091054, "params": [-1.1469, 0.15180000000000002, 1.0248000000000002, 0.0053, -1.1854, 0.0704, 1.0035, 0.0098, 0.0024000000000000002, 1.8693000000000002, -0.0023, 0.0027, 0.9273, 0.152, -0.1715, 0.0055000000000000005, -0.0021000000000000003, 1.7347000000000001, 0.002... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 1 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-1.1469) q[0];
rz(0.1518) q[0];
rx(-1.1854) q[1];
rz(0.0704) q[1];
rx(0.0024) q[2];
rz(1.8693) q[2];
rx(0.9273) q[3];
rz(0.152) q[3];
rx(-0.0021) q[4];
rz(1.7347) q[4];
rx(0.0029) q[5];
rz(0.8192) q[5];
rx(-0.0022) q[6];
rz(1.7498) q[6];
rx(-0.0026) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
01879f4c1200654f9c183f51d4d1496e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [2047, 1792], "expectation_value": -15.636503129480376, "params": [[0.053000000000000005], [-0.1767]], "bitstrings": ["00000000000", "00011111111"], "total_optimization_steps": 20, "probabilities": [0.0030843036020808358, 0.003278409249335212], "optimization_time": 2.96036696434021} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -4.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -4.0 * (Z(9) @ Z(5)) + -4.5 * (Z(9) @ Z(3)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(7)) + 2.0 * (Z(10) @ Z(5)) + -4... | 1 | 11 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.159) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.053) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.159) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(-0.371) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"node": 9} | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -0.4350706347918426, "params": [[-0.0659], [0.0693]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010300741736971467, 0.010444446498400409], "optimization_time": 1.735156536102295} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "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[4], q[0];
rz(0.0988) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1977) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.1318) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.2636) q[6];
cx q[0], q[6];
cx q[5], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -2.8399235516904215, "params": [[-0.054900000000000004, -0.0523, -0.0206], [0.0731, 0.06520000000000001, 0.049]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.022356282157381405, 0.02266639540798756], "optimization_time": 5.520397901... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0549) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0275) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.1373) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.1098) q[6];
cx q[0], q[6];
cx q[5], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
64b81587301614454a8e204aef648a08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [111, 65], "expectation_value": -4.358787892126839, "params": [[0.075, 0.0719, 0.0648], [-0.0838, -0.0819, -0.07540000000000001]], "bitstrings": ["10010000", "10111110"], "total_optimization_steps": 10, "probabilities": [0.018948514936570994, 0.020689832110204504], "optimization_time": 3.9170901775360107} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"]} | 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(-0.0375) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.225) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.1125) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(-0.1875) q[7];
cx q[1], q[7];
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": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 158.31263399124146} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.4201) q[6];
cry(-1.5708) q[7], q[3];
ry(0.9573) q[5];
ry(-0.37... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.7085209851382799, "params": [[0.041800000000000004, 0.0635], [-0.0342, -0.0431]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010290839513971757, 0.011827503925385102], "optimization_time": 3.2433018684387207} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0836) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0209) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0209) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0418) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
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