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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-8807222220196715805 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [2, 3, 4, 5], [8, 2], [0, 3], [1, 2, 3, 5, 6], [2, 3, 5, 7], [3, 4, 6], [0, 6], [2, 4, 6], [1, 3, 7], [0, 1, 2, 4, 5]]} | {"states": [252, 236], "expectation_value": -2.52728766626599, "params": [0.8703000000000001, 0.0414, 0.21250000000000002, 0.0086, 1.1004, -0.09190000000000001, 1.0982, 0.0068000000000000005, 1.1049, -0.1073, 1.1024, 0.0018000000000000002, 1.1025, -0.0999, 1.0962, 0.009600000000000001, 1.0712000000000002, 0.38130000000... | 0.5 * (Z(8) @ Z(1)) + 0.1 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.3 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.1333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.7], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.533333333333333, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8703) q[0];
rz(0.0414) q[0];
rx(1.1004) q[1];
rz(-0.0919) q[1];
rx(1.1049) q[2];
rz(-0.1073) q[2];
rx(1.1025) q[3];
rz(-0.0999) q[3];
rx(1.0712) q[4];
rz(0.3813) q[4];
rx(1.0983) q[5];
rz(-0.0687) q[5];
rx(1.1053) q[6];
rz(-0.1223) q[6];
rx(1.1006) 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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [19, 22], "expectation_value": -0.608791875580546, "params": [[-0.0661, -0.07100000000000001, -0.0818], [0.0717, 0.0688, 0.07350000000000001]], "bitstrings": ["101100", "101001"], "total_optimization_steps": 10, "probabilities": [0.02503689143078042, 0.025036891430780427], "optimization_time": 3.044401645660... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | 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(-0.0661) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0661) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0661) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.0661) q[5];
cx q[2], q[5];
cx q[3], q[5];
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] 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": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 24.925750732421875} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
cry(-1.5681) q[7], q[0];
ry(1.1695) q[7];
ry(-0.5526) q[0];
ry(-1.5653) q[2];
ry(-1.5708) q[3];
ry(-1.5706) q[4];
cry(0.2883) q[6], q[7];
cry(-0.1874) q[6], q[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -10.826114406255389, "params": [[[0.9017000000000001, 0.0002], [0.3902, 0.0061], [0.3902, 0.0094], [0.9084000000000001, 0.0036000000000000003], [1.5995000000000001, 0.007], [1.5924, 0.0067]]], "bitstrings": ["111101", "111100"], "total_optimization_steps": 160, "probabilities": [... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.9017) q[0];
rz(0.0002) q[0];
rx(0.3902) q[1];
rz(0.0061) q[1];
rx(0.3902) q[2];
rz(0.0094) q[2];
rx(0.9084) q[3];
rz(0.0036) q[3];
rx(1.5995) q[4];
rz(0.007) q[4];
rx(1.5924) q[5];
rz(0.0067) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} |
4bfb7aa3de77ad6289ff7f946b540c30 | 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": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 288], "expectation_value": -14.797639135226099, "params": [-0.0026000000000000003, 0.1564, -0.0036000000000000003, 0.15760000000000002, 0.0018000000000000002, 0.1955, -0.0032, 0.2371, 0.30560000000000004, -0.0021000000000000003, 0.30720000000000003, -0.0018000000000000002, -0.0002, 0.24070000000000003, -... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(8)) + -0.25 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(7)) + -0.5 * (Z(10) @ Z(9)) + -0.25 *... | 6 | 11 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["11011011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0026) q[0];
rz(0.1564) q[0];
rx(0.0018) q[1];
rz(0.1955) q[1];
rx(0.3056) q[2];
rz(-0.0021) q[2];
rx(-0.0002) q[3];
rz(0.2407) q[3];
rx(0.0021) q[4];
rz(0.1994) q[4];
rx(0.2707) q[5];
rz(0.0022) q[5];
rx(0.0015) q[6];
rz(0.2399) q[6];
rx(-0.0032) 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": []} |
1826a1fa053bdb81cfb85abe3847e6ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [80, 82], "expectation_value": -3.64670344319212, "params": [[[0.0021000000000000003, 0.0011, 0.0037, 0.0025], [1.0490000000000002, 0.0027, 1.0505, 0.0024000000000000002], [-0.0021000000000000003, 0.0017000000000000001, 0.0058000000000000005, 0.005], [1.0474, -0.0027, 1.0514000000000001, 0.003100000000000000... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(1) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(6) @ Z(5)) + 0.... | 12 | 8 | 1 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["10101101", "11001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0021) q[0];
rz(0.0011) q[0];
ry(1.049) q[1];
rz(0.0027) q[1];
ry(-0.0021) q[2];
rz(0.0017) q[2];
ry(1.0474) q[3];
rz(-0.0027) q[3];
ry(-0.0026) q[4];
rz(0.0075) q[4];
ry(0.0026) q[5];
rz(-0.7633) q[5];
ry(1.6143) q[6];
rz(0.005) q[6];
ry(0.0023) 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": []} |
9a88f89de402032a99e5ba06309fbc2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1595, 1851], "expectation_value": -3.233776668211087, "params": [[[0.1771, 0.0095], [2.4525, 0.0058000000000000005], [2.6997, 0.0033], [1.5728, 0.0049], [0.8668, 0.0025], [-0.0022, 0.0012000000000000001], [2.7033, 0.0092], [2.706, 0.0007], [2.6941, 0.0028], [0.6936, 0.0078000000000000005], [2.71060000000000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(9) @ Z(6)) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["010101001000", "100011000100", "011001000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1771) q[0];
rz(0.0095) q[0];
rx(2.4525) q[1];
rz(0.0058) q[1];
rx(2.6997) q[2];
rz(0.0033) q[2];
rx(1.5728) q[3];
rz(0.0049) q[3];
rx(0.8668) q[4];
rz(0.0025) q[4];
rx(-0.0022) q[5];
rz(0.0012) q[5];
rx(2.7033) q[6];
rz(0.0092) q[6];
rx(2.706) 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": []} |
0963943ecfb82868686868de206d3c2c | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.10792942560207416, "params": [[-0.055400000000000005, -0.0368, 0.0683], [0.0734, 0.06670000000000001, -0.0188]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.034834243516703986, 0.03682870089413027], "optimization_time": 2.168492555618... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0277) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0277) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0554) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0831) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.0554) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
bc0e661f197725267ce5e0973269ca51 | 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": [469, 405], "expectation_value": -115.86682207513454, "params": [1.2217, 0.009000000000000001, 0.0029000000000000002, 0.0064, 2.8886000000000003, 0.0091, 2.8917, 0.0019, 1.4841, 0.0013000000000000002, 0.0029000000000000002, 0.0076, 2.9028, 0.0073, -0.0019, 0.0041, 2.8991000000000002, 0.0024000000000000002, 0... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 29.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11001101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.2217) q[0];
rz(0.009) q[0];
rx(0.0029) q[1];
rz(0.0064) q[1];
rx(2.8886) q[2];
rz(0.0091) q[2];
rx(2.8917) q[3];
rz(0.0019) q[3];
rx(1.4841) q[4];
rz(0.0013) q[4];
rx(0.0029) q[5];
rz(0.0076) q[5];
rx(2.9028) q[6];
rz(0.0073) q[6];
rx(-0.0019) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
6db46fc059c6f81124803e34100362dc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [70, 100], "expectation_value": -5.499901760569889, "params": null, "bitstrings": ["0111001", "0011011"], "total_optimization_steps": 34, "probabilities": [1.635351347722204e-05, 0.9999508525588269], "optimization_time": 28.833174467086792} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101100", "0011011"]} | 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[2];
ry(-1.5708) q[6];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[4], q[3];
cry(-0.1259) q[1], q[5];
cry(0.1248) q[4], q[0];
cry(0.1... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-3009869336801506383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 5], [2, 5], [3, 6]]} | {"states": [103, 39], "expectation_value": -0.05042390693352555, "params": [[[1.665, 0.004], [1.7442, 0.0016], [1.3851, 0.0015], [1.8007000000000002, 0.007], [1.3928, 0.0043], [1.3829, 0.004], [1.7542, 0.0064]]], "bitstrings": ["0011000", "1011000"], "total_optimization_steps": 180, "probabilities": [0.0199401269232309... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) | 2 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["1011000", "0001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.665) q[0];
rz(0.004) q[0];
rx(1.7442) q[1];
rz(0.0016) q[1];
rx(1.3851) q[2];
rz(0.0015) q[2];
rx(1.8007) q[3];
rz(0.007) q[3];
rx(1.3928) q[4];
rz(0.0043) q[4];
rx(1.3829) q[5];
rz(0.004) q[5];
rx(1.7542) q[6];
rz(0.0064) q[6];
cx q[6], q[5];
cx q[5], 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[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 16.4271183013916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[4];
cry(0.1187) q[2], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186) q[0], q[2];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 12.424838066101074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | 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(-1.5158) q[2];
ry(-1.4449) q[0];
ry(-1.445) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[4], q[1];
cry(-0.1187) q[1], q[3];
cry(0.1214) q[1], q[4];
cry(-0.0519) q[4], q[2];
cry(-0.006... | 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(-1.5158) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.0774253973796, "params": [0.3912, 0.22640000000000002, -0.0606, 0.7267, -0.8375, 1.6109, 0.44670000000000004, 0.6305000000000001, -0.8545, 1.0967, 0.1469, 0.38520000000000004, 0.0044, 1.1006, 0.0036000000000000003, 0.00030000000000000003, 0.0041, 2.1744, -0.0038, 0.9643, -0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3912) q[0];
rz(0.2264) q[0];
rx(-0.8375) q[1];
rz(1.6109) q[1];
rx(-0.8545) q[2];
rz(1.0967) q[2];
rx(0.0044) q[3];
rz(1.1006) q[3];
rx(0.0041) q[4];
rz(2.1744) q[4];
rx(-0.0011) q[5];
rz(1.7187) q[5];
rx(-0.8876) q[6];
rz(1.2013) q[6];
rx(-0.865) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
bc1e193b4d7ad220492290467ee36758 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 8}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -18.616428293773822, "params": [[[0.0021000000000000003, 1.6041], [0.0016, 0.0021000000000000003], [0.0021000000000000003, 0.0018000000000000002], [0.002, 0.002], [0.0023, 0.0018000000000000002], [0.0018000000000000002, 0.002], [0.0018000000000000002, 0.002], [0.002, 0.00210000... | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -3.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0021) q[0];
ry(0.0016) q[1];
ry(0.0021) q[2];
ry(0.002) q[3];
ry(0.0023) q[4];
ry(0.0018) q[5];
ry(0.0018) q[6];
ry(0.002) q[7];
ry(0.0026) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x0) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry(x4) q[6];
ry(x2) q[... | {"node": 2} | {"circuits": [], "gradients": []} |
7efca02d91f49e4bd32e9ceac2c5c6eb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [0, 14], "expectation_value": -1.5984343277622735, "params": [[[0.0661, 0.3466, 0.0063, 0.0031000000000000003], [0.5444, -0.3145, 0.2932, 0.18000000000000002], [0.1885, 0.36200000000000004, 0.1845, 0.3161], [-0.1351, -0.1464, 0.2262, -0.2902], [-0.198, 0.1535, 0.5379, 0.4345], [-0.4052, -0.0641, 0.6087, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 11 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1011010", "0101101", "0101110", "0110101", "1010011", "1001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0661) q[0];
rz(0.3466) q[0];
ry(0.5444) q[1];
rz(-0.3145) q[1];
ry(0.1885) q[2];
rz(0.362) q[2];
ry(-0.1351) q[3];
rz(-0.1464) q[3];
ry(-0.198) q[4];
rz(0.1535) q[4];
ry(-0.4052) q[5];
rz(-0.0641) q[5];
ry(-0.0051) q[6];
rz(-0.0088) q[6];
cx q[1], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [52, 38], "expectation_value": -3.499937323929622, "params": null, "bitstrings": ["001011", "011001"], "total_optimization_steps": 24, "probabilities": [1.637776441758569e-05, 0.9999686682982746], "optimization_time": 19.250945806503296} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[2];
ry(-1.5486) q[5];
ry(-1.4449) q[1];
ry(1.4448) q[3];
ry(1.4416) q[0];
ry(1.4416) q[4];
cry(-0.1259) q[4], q[1];
cry(0.1218) q[3], q[0];
cry(0.1217) q[0], q[4];
cry(0.1187) q[4], q[3];
cry(-0.022... | 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(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3144733901229829158 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5, 6, 7], [0, 8], [10, 7], [9, 3, 7], [2, 3, 5, 7], [10, 3], [8, 2, 5], [3, 11, 6], [1, 5, 9, 6], [0, 9, 6], [1, 11, 9, 7], [0, 9, 11, 4], [10, 2], [0, 11, 3, 7], [2, 11, 4, 5], [4, 6], [1, 10, 4, 9], [8, 1, 5], [9, 2, 11], [8, 9], [1, 3, 6], [0, 3, ... | {"states": [3549, 3485], "expectation_value": -7.404424431774174, "params": [[[2.591, 0.0005, 0.0099, 0.0079], [-0.0018000000000000002, 0.443, 1.5725, 0.0048000000000000004], [0.0029000000000000002, 0.0034000000000000002, 0.0008, 0.0046], [0.9788, 0.002, 1.0845, 0.0018000000000000002], [2.6046, 0.0085, 0.0056, 0.0082],... | 0.25 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(9)) + 0.41... | 12 | 12 | 1 | {"smallest_eigenvalues": [-8.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.916666666666668, "smallest_bitstrings": ["001001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(2.591) q[0];
rz(0.0005) q[0];
ry(-0.0018) q[1];
rz(0.443) q[1];
ry(0.0029) q[2];
rz(0.0034) q[2];
ry(0.9788) q[3];
rz(0.002) q[3];
ry(2.6046) q[4];
rz(0.0085) q[4];
ry(0.5638) q[5];
rz(-0.0015) q[5];
ry(-0.0018) q[6];
rz(0.0068) q[6];
ry(0.6671) 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": []} |
21c8a0e02357d1dbfa852bca1cebf8a1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [112, 113], "expectation_value": -3.803796737466849, "params": [1.6981000000000002, 0.0033, 1.6904000000000001, -0.0033, 1.7052, -0.0034000000000000002, 1.7068, -0.0023, 1.1657, -0.0028, 0.0039000000000000003, -0.7412000000000001, 0.0572, -0.0028, 1.701, 0.005, -1.6895, 1.4808000000000001, 1.473, 1.4713, -1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(3) + 0.... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100110", "01100110", "10001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6981) q[0];
rz(0.0033) q[0];
rx(1.6904) q[1];
rz(-0.0033) q[1];
rx(1.7052) q[2];
rz(-0.0034) q[2];
rx(1.7068) q[3];
rz(-0.0023) q[3];
rx(1.1657) q[4];
rz(-0.0028) q[4];
rx(0.0039) q[5];
rz(-0.7412) q[5];
rx(0.0572) q[6];
rz(-0.0028) q[6];
rx(1.701) 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": []} |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [153, 137], "expectation_value": -1.3919693967851097, "params": [[0.07060000000000001], [-0.079]], "bitstrings": ["101100110", "101110110"], "total_optimization_steps": 10, "probabilities": [0.003158834749329045, 0.0032253803939957903], "optimization_time": 2.1656737327575684} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"]} | 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(-0.1412) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.1412) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.2118) q[6];
cx q[0], q[6];
cx q[2], q[8];
rz(-0.0706) q[8];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 83.9612922668457} | 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)) + 0.125 * (Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | 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(-1.5158) q[3];
ry(-1.5158) q[6];
ry(1.4446) q[0];
ry(1.0332) q[5];
cry(-1.2413) q[2], q[7];
ry(1.2903) q[1];
ry(0.8024) q[2];
cry(-0.6817) q[5], q[7];
cry(1.3232) q[2], q[4];
cry(0.474) q[0], 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];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
b08f25f755dd043c69871ce598b20e79 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 9}, {"weight":... | {"states": [430, 428], "expectation_value": -73.16643682388343, "params": [0.2868, -0.18630000000000002, 0.2797, -0.165, 0.6988000000000001, -0.0137, 0.6951, 0.0488, 0.7032, -0.016900000000000002, 0.6987, 0.0383, 0.1254, 0.2795, 0.1255, 0.2681, 0.7018, -0.0125, 0.6957, 0.0417, 0.3209, -0.2041, 0.3249, -0.21130000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 12.0 * Z(1) + 3.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 15... | 5 | 10 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1001010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2868) q[0];
rz(-0.1863) q[0];
rx(0.6988) q[1];
rz(-0.0137) q[1];
rx(0.7032) q[2];
rz(-0.0169) q[2];
rx(0.1254) q[3];
rz(0.2795) q[3];
rx(0.7018) q[4];
rz(-0.0125) q[4];
rx(0.3209) q[5];
rz(-0.2041) q[5];
rx(0.7023) q[6];
rz(0.0314) q[6];
rx(0.6931) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
8024481a741f3f9d1bfa3919cba5fa72 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [80, 33], "expectation_value": -2.297469090672059, "params": [[0.49500000000000005, 0.49420000000000003, 0.0983, -0.0031000000000000003, 0.0013000000000000002, -0.0053, 0.0969], [0.49500000000000005, 0.49450000000000005, 0.1809, -0.0044, -0.0055000000000000005, -0.0005, 0.19990000000000002], [0.4906000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(1)) + ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-2.875, -2.875, -2.875, -2.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.875, "smallest_bitstrings": ["1001111", "0101111", "1011110", "0111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.495) q[0];
ry(0.4942) q[1];
ry(0.0983) q[2];
ry(-0.0031) q[3];
ry(0.0013) q[4];
ry(-0.0053) q[5];
ry(0.0969) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(0.495) q[0];
ry(0.4945) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2588d6bc234a2ebe9da283ea0a74ab37 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.11510109362625746, "params": [[-0.045000000000000005], [0.0551]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004400219151965092, 0.004439270276241889], "optimization_time": 2.0013587474823} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.045) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0675) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.0225) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.0675) 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[6], q[0];
rz(x0) q[0];
cx q[6],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"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": -2.040279902519026, "params": [0.4048, -0.0017000000000000001, 0.4031, 0.0043, 0.39830000000000004, -0.0028, 0.0005, 0.1928, 0.0039000000000000003, 0.27290000000000003, 0.004200000000000001, 0.2717, 0.4015, -0.0026000000000000003, 0.3986, 0.0038, 0.399, -0.0001, 0.0038, 0.2383,... | 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) | 18 | 6 | 4 | {"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;
rx(0.4048) q[0];
rz(-0.0017) q[0];
rx(0.4031) q[1];
rz(0.0043) q[1];
rx(0.3983) q[2];
rz(-0.0028) q[2];
rx(0.0005) q[3];
rz(0.1928) q[3];
rx(0.0039) q[4];
rz(0.2729) q[4];
rx(0.0042) q[5];
rz(0.2717) q[5];
crz(-0.2586) q[5], q[0];
crz(-0.2624) q[4], q[5];
crz(... | OPENQASM 3.0;
include "stdgates.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": 2} | {"circuits": [], "gradients": []} |
9e94b68911cb42706e972a91a1ac62c8 | 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": [252, 244], "expectation_value": -85.19548745104852, "params": [0.3131, -0.1938, 0.7877000000000001, 0.0158, 0.7911, -0.0001, 0.7889, 0.005200000000000001, 0.7933, 0.0959, 0.36300000000000004, 0.2132, 0.7917000000000001, 0.1773, 0.1278, 0.3854, 0.0947, 0.3649, 0.3161, -0.22290000000000001, 0.7904, -0.0035, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 9.5 * Z(0) + 12.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3131) q[0];
rz(-0.1938) q[0];
rx(0.7877) q[1];
rz(0.0158) q[1];
rx(0.7911) q[2];
rz(-0.0001) q[2];
rx(0.7889) q[3];
rz(0.0052) q[3];
rx(0.7933) q[4];
rz(0.0959) q[4];
rx(0.363) q[5];
rz(0.2132) q[5];
rx(0.7917) q[6];
rz(0.1773) q[6];
rx(0.1278) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
2f9748d259d55a5f303ac02652806401 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [4095, 2047], "expectation_value": -38.50928894510867, "params": [[[-0.002, 0.0089], [0.0027, 0.0022], [0.0054, 0.0022], [0.0162, 0.002], [-0.0025, 0.0024000000000000002], [0.0005, -0.0031000000000000003], [0.013800000000000002, 0.0025], [0.0045000000000000005, 0.0021000000000000003], [-0.0032, 0.0023], [0.0... | -0.5 * (Z(0) @ Z(7)) + -1.25 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(0)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(0)) + -1.25 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(9)) + -0.75 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.75 * (Z(8) @ Z(11)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(9)) + -2.5 * (... | 15 | 12 | 2 | {"smallest_eigenvalues": [-39.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.002) q[0];
ry(0.0027) q[1];
ry(0.0054) q[2];
ry(0.0162) q[3];
ry(-0.0025) q[4];
ry(0.0005) q[5];
ry(0.0138) q[6];
ry(0.0045) q[7];
ry(-0.0032) q[8];
ry(0.0018) q[9];
ry(0.0028) q[10];
ry(1.5796) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
087038e9edc1ea672825729ff4eba005 | max_flow | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32703, 32575], "expectation_value": -14.06888529584445, "params": [[-0.1428, -0.0219, -0.0089, -0.0025], [0.1705, 0.1535, 0.1569, 0.1545]], "bitstrings": ["000000001000000", "000000011000000"], "total_optimization_steps": 20, "probabilities": [0.003318115929310968, 0.003587052544918196], "optimization_time"... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 1 | 15 | 4 | {"smallest_eigenvalues": [-20.272727272726836], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999627, "smallest_bitstrings": ["000000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
cx q[11], q[9];
rz(-0.1428) q[9];
cx q[11], q[9];
cx q[11], q[12];
rz(-0.2856) q[12];
cx q[11], q[12];
cx q[9], q[12];
rz(-0.1428) 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": 6} | {"circuits": [], "gradients": []} |
82a9b805089c1b1c13eff0722cc99710 | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -10.999999490159968, "params": null, "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 34, "probabilities": [0.00012303071764065422, 0.9998764648011279], "optimization_time": 53.28693199157715} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[3];
cry(1.5486) q[8], q[2];
ry(-1.4449) q[4];
ry(-1.4434) q[5];
ry(-1.5679) q[1];
ry(-1.4416) q[6];
cry(-0.1274) q[8], q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
daa025a90e4398677fe5b0d273c8f8d1 | 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": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "... | {"states": [4083, 4095], "expectation_value": -12.984659780350231, "params": null, "bitstrings": ["000000001100", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.12208200034862363, 0.36629411587881266], "optimization_time": 205.69211602210999} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[5], q[7];
ry(1.056) q[5];
cry(1.5707) q[5], q[4];
cry(1.5706) q[0], q[3];
ry(1.056) q[0];
cry(1.5707) q[0], q[2];
cry(1.5706) q[10], q[11];
cry(1.... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
d715cd4fba508932d07752068586f9e9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01431867979883026, "params": [[0.0664], [-0.0543]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6162886799210405e-05, 1.6162886799210418e-05], "optimization_time": 13.975035905838013} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0006944444444444445 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.001157... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.017438271604856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0174382716048345, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0332) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
294512af72c0fecd4cefe8fd6a356b5c | 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": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -7.635787281906735, "params": [[-0.05], [0.0664]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00742134486438217, 0.007778030285268242], "optimization_time": 1.5668911933898926} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.45) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.45) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.45) q[1];
cx q[2], q[1];
cx q[3], q[4];
rz(-0.45) q[4];
cx q[3], q[4];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
f3005da29ffd173bf0ed7f51c570b121 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [52, 308], "expectation_value": -6.4623835323186825, "params": [[[0.7956000000000001, 0.1998, 0.0016, 0.0085], [-0.0198, -0.4264, 0.3462, -0.3653], [-0.0582, 0.024300000000000002, 0.0582, 0.33190000000000003], [0.23140000000000002, 0.29550000000000004, 0.0071, 0.43760000000000004], [-0.008, 0.0438, 0.0179, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["001011011", "011001011", "111001001", "110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7956) q[0];
rz(0.1998) q[0];
ry(-0.0198) q[1];
rz(-0.4264) q[1];
ry(-0.0582) q[2];
rz(0.0243) q[2];
ry(0.2314) q[3];
rz(0.2955) q[3];
ry(-0.008) q[4];
rz(0.0438) q[4];
ry(-0.0017) q[5];
rz(-0.1755) q[5];
ry(0.7985) q[6];
rz(0.0042) q[6];
ry(0.002) 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": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -5.504697975630771, "params": [[0.06280000000000001], [-0.0603]], "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005913249966712305, 0.006236753141285109], "optimization_time": 4.062014579772949} | 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.... | 5 | 8 | 1 | {"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];
cx q[1], q[0];
rz(0.3454) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3454) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3454) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3454) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} |
6851761526785165321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 4], [8, 9, 5, 1], [8, 7], [0, 9], [0, 6], [8, 1, 3, 6], [8, 2, 5], [10, 5], [0, 7], [9, 3], [1, 4], [1, 7], [8, 1, 2], [9, 4], [8, 10, 6], [2, 5, 7], [4, 6, 7], [3, 4]]} | {"states": [955, 923], "expectation_value": -4.70508536116392, "params": [[[-0.0028, 0.0007, 0.0006000000000000001, 0.0081], [1.0432000000000001, 0.0026000000000000003, 1.0456, 0.0008], [2.3896, 0.0044, 0.0019, 0.008700000000000001], [0.0026000000000000003, 0.4441, 1.5682, 0.0089], [-0.0022, 0.0039000000000000003, 0.00... | 0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.083333333333333... | 12 | 11 | 1 | {"smallest_eigenvalues": [-5.249999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666663, "smallest_bitstrings": ["10001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0028) q[0];
rz(0.0007) q[0];
ry(1.0432) q[1];
rz(0.0026) q[1];
ry(2.3896) q[2];
rz(0.0044) q[2];
ry(0.0026) q[3];
rz(0.4441) q[3];
ry(-0.0022) q[4];
rz(0.0039) q[4];
ry(1.6681) q[5];
rz(-0.4548) q[5];
ry(2.9023) q[6];
rz(0.0074) q[6];
ry(0.0024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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": -15.273555618327473, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777604, 0.7004648347042952], "optimization_time": 1225.6995632648468} | 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 | 1 | {"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[... |
290545599422189146 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5], [8, 1, 7], [2, 3, 6], [0, 1, 3, 5, 6], [9, 3, 5, 6], [8, 0, 5], [8, 2], [2, 5, 6, 7], [9, 3, 6, 7], [9, 4], [1, 4], [8, 0, 6, 7], [8, 3], [8, 4, 5, 7], [3, 4, 5, 6]]} | {"states": [861, 981], "expectation_value": -2.309721169606223, "params": [1.1925000000000001, 0.1038, 1.1977, 0.0025, 1.2021000000000002, -0.0281, 1.194, 0.0012000000000000001, 1.0451000000000001, -0.0227, 1.0157, 0.008, 1.1909, 0.030100000000000002, 1.1855, 0.0045000000000000005, 0.5766, 0.3267, 0.5799000000000001, 0... | 0.1 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.26666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(1)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.449999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.316666666666666, "smallest_bitstrings": ["0000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1925) q[0];
rz(0.1038) q[0];
rx(1.2021) q[1];
rz(-0.0281) q[1];
rx(1.0451) q[2];
rz(-0.0227) q[2];
rx(1.1909) q[3];
rz(0.0301) q[3];
rx(0.5766) q[4];
rz(0.3267) q[4];
rx(1.1943) q[5];
rz(0.1328) q[5];
rx(1.1835) q[6];
rz(-0.1374) q[6];
rx(1.2031) 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": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | 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": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [63, 47], "expectation_value": -5.341472399099187, "params": [-0.0025, 0.006200000000000001, 0.0024000000000000002, 0.003, -2.3216, 0.0027, -1.5471000000000001, 0.0081, -1.6017000000000001, 0.0039000000000000003, 3.1439000000000004, 0.0034000000000000002, 3.1444, 0.0037, 3.1435, 0.0014, 0.008700000000000001,... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0025) q[0];
rz(0.0062) q[0];
rx(0.0024) q[1];
rz(0.003) q[1];
rx(-2.3216) q[2];
rz(0.0027) q[2];
rx(-1.5471) q[3];
rz(0.0081) q[3];
rx(-1.6017) q[4];
rz(0.0039) q[4];
rx(3.1439) q[5];
rz(0.0034) q[5];
rx(3.1444) q[6];
rz(0.0037) q[6];
rx(3.1435) 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2cd9688dd7e6e70fe4c6359393ef8382 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -7.338384836534548, "params": [0.001, -0.0732, -0.0026000000000000003, -0.12560000000000002, 0.0048000000000000004, -0.1424, 0.0007, -0.14830000000000002, 0.0064, -0.06810000000000001, 0.0057, -0.0795, 0.0064, -0.10880000000000001, -0.00030000000000000003, -0.14600000000000002, 0... | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 5 | 9 | 4 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.001) q[0];
rz(-0.0732) q[0];
rx(0.0048) q[1];
rz(-0.1424) q[1];
rx(0.0064) q[2];
rz(-0.0681) q[2];
rx(0.0064) q[3];
rz(-0.1088) q[3];
rx(0.0094) q[4];
rz(-0.1129) q[4];
rx(0.0004) q[5];
rz(-0.144) q[5];
rx(-0.0053) q[6];
rz(-0.0095) 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": 8} | {"circuits": [], "gradients": []} |
a6e15f3d5d0d57da2b41d67529c98500 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -29.599856363405426, "params": [[[0.0028, 1.5995000000000001], [0.0027, -0.0026000000000000003], [0.0017000000000000001, 0.0021000000000000003], [0.0019, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.002, 0.0023], [0.0024000000000000002, 0.002], [0.0025, -0.0019],... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 15 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0028) q[0];
ry(0.0027) q[1];
ry(0.0017) q[2];
ry(0.0019) q[3];
ry(-0.0029) q[4];
ry(0.002) q[5];
ry(0.0024) q[6];
ry(0.0025) q[7];
ry(0.0023) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | 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": [49133, 47085], "expectation_value": -13.270582661967198, "params": [1.4777, -0.226, 1.3243, 0.0068000000000000005, 1.0753000000000001, -0.3635, 0.9132, 0.0088, 1.4827000000000001, -0.2456, 1.3303, 0.0085, 1.4751, -0.2127, 1.2283000000000002, 0.0061, 1.4184, -0.3508, 0.9393, 0.0091, 1.4717, -0.17250000000000... | 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) ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.4777) q[0];
rz(-0.226) q[0];
rx(1.0753) q[1];
rz(-0.3635) q[1];
rx(1.4827) q[2];
rz(-0.2456) q[2];
rx(1.4751) q[3];
rz(-0.2127) q[3];
rx(1.4184) q[4];
rz(-0.3508) q[4];
rx(1.4717) q[5];
rz(-0.1725) q[5];
rx(1.4779) q[6];
rz(-0.1822) q[6];
rx(1.4735) 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[... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 28], "expectation_value": -0.7634140695890519, "params": [[0.0721, 0.07050000000000001], [-0.0626, -0.0668]], "bitstrings": ["0001111", "1100011"], "total_optimization_steps": 10, "probabilities": [0.01138131116054584, 0.01148359704618659], "optimization_time": 3.3923187255859375} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -1.5 * Z(1) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110", "0001111", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0721) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0721) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(0.0721) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0721) q[5];
cx q[0], q[5];
cx q[3], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
-4140279770655496618 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 4], [1, 2], [0, 2], [0, 1]]} | {"states": [13, 5], "expectation_value": -1.2713277891718948, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 28, "probabilities": [0.34954590144511727, 0.41861260841826425], "optimization_time": 18.890398263931274} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00101", "01001", "11010", "01101", "10110", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[0];
cry(-1.0342) q[4], q[3];
ry(0.7625) q[4];
cry(-0.7068) q[2], q[0];
cry(1.1319) q[4], q[2];
cry(-0.3797) q[1], q[0];
cry(-0.5466) q[2], q[3];
cry(0.4539) q[2], q[4];
ry(0.2659) q[2];
ry(-0.2128) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
4b8fbd5896b2ae05c23559ddf2df97f7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "... | {"states": [0, 4095], "expectation_value": -16.20056643006663, "params": [[[0.0023, 1.611], [0.0016, 0.0024000000000000002], [0.0019, 0.0018000000000000002], [0.0021000000000000003, 0.002], [0.0016, 0.0019], [0.0016, 0.002], [0.0016, 0.0021000000000000003], [-0.0035, 0.0023], [0.0024000000000000002, 0.0027], [0.002, 0.... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(11) @ Z(9)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0023) q[0];
ry(0.0016) q[1];
ry(0.0019) q[2];
ry(0.0021) q[3];
ry(0.0016) q[4];
ry(0.0016) q[5];
ry(0.0016) q[6];
ry(-0.0035) q[7];
ry(0.0024) q[8];
ry(0.002) q[9];
ry(0.0022) q[10];
ry(0.0027) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 12} | {"circuits": [], "gradients": []} |
e835252475fa0fecf397777d8ef59973 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [85, 341], "expectation_value": -1.6827183703608972, "params": [[[1.5968, 0.0007], [0.5525, 0.0048000000000000004], [1.602, 0.0088], [0.9937, 0.0092], [1.6138000000000001, 0.0045000000000000005], [0.5271, 0.0029000000000000002], [1.6112000000000002, 0.0027], [0.0026000000000000003, 0.0048000000000000004], [1... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.375, "smallest_bitstrings": ["010101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5968) q[0];
rz(0.0007) q[0];
rx(0.5525) q[1];
rz(0.0048) q[1];
rx(1.602) q[2];
rz(0.0088) q[2];
rx(0.9937) q[3];
rz(0.0092) q[3];
rx(1.6138) q[4];
rz(0.0045) q[4];
rx(0.5271) q[5];
rz(0.0029) q[5];
rx(1.6112) q[6];
rz(0.0027) q[6];
rx(0.0026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -9.567863056373476, "params": null, "bitstrings": ["1110", "0111"], "total_optimization_steps": 18, "probabilities": [0.26405862346310693, 0.6224927337877648], "optimization_time": 8.047037839889526} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 9 | 4 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5729) q[1];
ry(-1.4602) q[2];
cry(-0.9979) q[0], q[1];
cry(-1.5708) q[0], q[3];
cry(-0.9874) q[3], q[1];
ry(0.473) q[0];
cry(-0.4686) q[3], q[0];
ry(0.1124) q[3];
cry(-0.1106) q[0], q[2];
cry(-0.1081) q[3], q[2];
cry(-0.24... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
a6b81bd94db1dc24b1e0e42e6a7091b4 | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -11.534657422559793, "params": [[0.0514], [-0.0838]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004645563599366447, 0.005279334379774669], "optimization_time": 3.5800352096557617} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "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(0.4626) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.4626) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.4626) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.4626) 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;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.4793058084636991, "params": [[-0.034300000000000004, -0.0347, -0.054, -0.051500000000000004], [0.0318, 0.0246, 0.051000000000000004, 0.0579]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.022998025100745258, 0.02299802510074527], "o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0343) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0343) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0343) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0343) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
87caa31bd5898ba70984deddfd0af9cf | 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": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 15, "source": 1, "target": 6}, {"weight": 16, "sourc... | {"states": [457, 201], "expectation_value": -60.558361865546665, "params": [[[0.7791, -0.6586000000000001], [1.5734000000000001, -0.003], [1.5642, 0.0028], [-0.0028, 1.2087], [-0.0025, 1.5526], [1.5746, -0.0029000000000000002], [-0.0023, 1.2898], [0.0021000000000000003, 1.1089], [1.5677, 0.0027]], [[0.7762, 0.000300000... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 7.5 * Z(2) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["100110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7791) q[0];
rz(-0.6586) q[0];
rx(1.5734) q[1];
rz(-0.003) q[1];
rx(1.5642) q[2];
rz(0.0028) q[2];
rx(-0.0028) q[3];
rz(1.2087) q[3];
rx(-0.0025) q[4];
rz(1.5526) q[4];
rx(1.5746) q[5];
rz(-0.0029) q[5];
rx(-0.0023) q[6];
rz(1.2898) q[6];
rx(0.0021) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
40fb25e3696a29b105250788d9c8e41f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 118], "expectation_value": -60.64603319417019, "params": [0.4829, -0.23570000000000002, 0.9922000000000001, 0.008400000000000001, 0.9967, -0.0023, 0.9904000000000001, 0.1453, 0.1731, 0.5762, 0.996, -0.0004, 0.9973000000000001, 0.24810000000000001, 0.3766, 0.43970000000000004, 0.48310000000000003, -0.24... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 11.0 * Z(0) + 17.0 * Z(2) + 20.0 * Z(3) + ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4829) q[0];
rz(-0.2357) q[0];
rx(0.9922) q[1];
rz(0.0084) q[1];
rx(0.9967) q[2];
rz(-0.0023) q[2];
rx(0.9904) q[3];
rz(0.1453) q[3];
rx(0.1731) q[4];
rz(0.5762) q[4];
rx(0.996) q[5];
rz(-0.0004) q[5];
rx(0.9973) q[6];
rz(0.2481) q[6];
rx(0.3766) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [68, 56], "expectation_value": -2.5042414253426912, "params": [[-0.06860000000000001, -0.0776, -0.0845], [0.0629, 0.0717, 0.076]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 10, "probabilities": [0.01787654482474982, 0.019597329995407677], "optimization_time": 5.416449785232544} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"]} | 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(-0.0686) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0686) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0686) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(-0.0686) q[5];
cx q[2], q[5];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -4.408433783930409, "params": [[-0.0629, -0.0468, -0.0432, 0.0064], [0.076, 0.0645, 0.0675, 0.0379]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.06030552329924266, 0.06353890538976878], "optimization_time": 6.083940267562866} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"]} | 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(0.0314) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0943) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1573) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.3145) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1573... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
29f2557af226797940f1e2f369bbe3e5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [56, 184], "expectation_value": -5.6476024764117785, "params": [0.2106, -0.0007, 0.21280000000000002, -0.0018000000000000002, 0.0008, 0.1945, -0.00030000000000000003, 0.1902, 0.29650000000000004, 0.0012000000000000001, 0.2993, 0.0128, 0.3014, 0.0044, 0.30310000000000004, -0.0001, 0.30660000000000004, -0.0031... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2106) q[0];
rz(-0.0007) q[0];
rx(0.0008) q[1];
rz(0.1945) q[1];
rx(0.2965) q[2];
rz(0.0012) q[2];
rx(0.3014) q[3];
rz(0.0044) q[3];
rx(0.3066) q[4];
rz(-0.0031) q[4];
rx(-0.0052) q[5];
rz(0.1463) q[5];
rx(-0.0185) q[6];
rz(0.1625) q[6];
rx(-0.0002) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
2189038496565069660 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 4, 5, 7], [0, 1, 2, 7], [5, 6]]} | {"states": [108, 236], "expectation_value": -1.2368364580704918, "params": null, "bitstrings": ["10010011", "00010011"], "total_optimization_steps": 54, "probabilities": [0.10899864698433152, 0.5466707863926598], "optimization_time": 84.15711855888367} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00101010", "10010100", "01000010", "00010011", "10011010"]} | 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(1.3603) q[1];
cry(-1.0342) q[5], q[6];
ry(0.7821) q[5];
ry(-0.523) q[6];
cry(0.4918) q[1], q[5];
cry(-0.3553) q[1], q[6];
cry(-0.3981) q[2], q[3];
ry(0.3612) q[2];
cry(0.1893) q[2], q[5];
cry(0... | 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(1.3603) 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[... |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 46.342572927474976} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.57) q[3], q[1];
cry(-1.5681) q[5], q[0];
ry(0.9547) q[5];
cry(1.5479) q[2], q[4];
cry(1.2165) q[4], q[2];
cry(0.2523) q[4], q[5];
ry(-0.3947) q[0];
cry(0.1894) q[2], q[5];
cry(0.4989) q[5], q[3];
cry(0.2793... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [8, 0], "expectation_value": -2.124971219237058, "params": [-0.0054, 0.0517, -0.0048000000000000004, -0.0118, -0.005, 0.0733, -0.0049, -0.0449, -0.0009000000000000001, 0.0034000000000000002, 0.0011, 0.0037, -0.0002, 0.0014, -0.001, 0.0047, 0.0506, -0.0375, 0.0179, -0.0548, 0.0058000000000000005, 0.0054, 0.00... | 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)) + -0.625 * Z... | 18 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.0054) q[0];
rz(0.0517) q[0];
rx(-0.0048) q[1];
rz(-0.0118) q[1];
rx(-0.005) q[2];
rz(0.0733) q[2];
rx(-0.0049) q[3];
rz(-0.0449) q[3];
crz(0.0506) q[3], q[0];
crz(-0.0548) q[2], q[3];
crz(0.0179) q[1], q[2];
crz(-0.0375) q[0], q[1];
rx(-0.0009) q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -3.639596744722745, "params": [[-0.0584, -0.058600000000000006, -0.054700000000000006, -0.0386], [0.0693, 0.0722, 0.0724, 0.0655]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01889319874305628, 0.0248408976064596], "optimization_t... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0584) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0292) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0584) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(0.2628) q[6];
cx q[2], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [442, 509], "expectation_value": -4.761290334633796, "params": [[0.2564], [-0.2559]], "bitstrings": ["1001000101", "1000000010"], "total_optimization_steps": 30, "probabilities": [0.005999732625055761, 0.005999732625055763], "optimization_time": 5.7218406200408936} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(0.5128) q[1];
cx q[2], q[1];
cx q[3], q[7];
rz(-0.5128) q[7];
cx q[3], q[7];
cx q[2], q[4];
rz(0.2564) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.2564) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
71367829fb7ce1f5a160f3ba04793161 | 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": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capac... | {"states": [511, 507], "expectation_value": -18.19822793470239, "params": [[[-0.0181, 0.0022], [0.0014, 0.0068000000000000005], [0.0029000000000000002, 0.0025], [0.0061, 0.0023], [0.0067, 0.0021000000000000003], [0.006, 0.0018000000000000002], [0.011600000000000001, 0.0018000000000000002], [0.5965, 0.002], [-1.63400000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0181) q[0];
ry(0.0014) q[1];
ry(0.0029) q[2];
ry(0.0061) q[3];
ry(0.0067) q[4];
ry(0.006) q[5];
ry(0.0116) q[6];
ry(0.5965) q[7];
ry(-1.634) q[8];
ry(0.0201) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4a01a984c253fac78cca60269d01efc1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 22], "expectation_value": -0.9196706295229867, "params": [[-0.0488, -0.0664, -0.056600000000000004], [0.0572, 0.0719, 0.0625]], "bitstrings": ["0011110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.013222946255544519, 0.014260232578094677], "optimization_time": 4.235803842544556} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0011110", "0110110", "1101001"]} | 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(-0.0488) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0488) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0488) q[1];
cx q[4], q[1];
cx q[5], q[1];
rz(-0.0488) q[1];
cx q[5], q[1];
cx q[1], 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] 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": []} |
ac0b6669d03c70fedc6475707b06ba92 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [474, 218], "expectation_value": -43.10860159345162, "params": [0.7725000000000001, 0.2457, 1.205, 0.0252, 1.2048, 0.0944, 0.7876000000000001, 0.3385, 1.197, 0.0443, 1.1981000000000002, 0.1854, 0.665, 0.34990000000000004, 1.2026000000000001, 0.3294, -0.012400000000000001, 0.6937, 0.7728, 0.006800000000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(7)) + 6.5 * Z(0) + 8.5 * Z(2) + 19.0 * Z(1) + 7.0 * Z(3) + 5.5 * Z(4) + 13.0 * Z(5) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7725) q[0];
rz(0.2457) q[0];
rx(1.205) q[1];
rz(0.0252) q[1];
rx(1.2048) q[2];
rz(0.0944) q[2];
rx(0.7876) q[3];
rz(0.3385) q[3];
rx(1.197) q[4];
rz(0.0443) q[4];
rx(1.1981) q[5];
rz(0.1854) q[5];
rx(0.665) q[6];
rz(0.3499) q[6];
rx(1.2026) q[7];
rz(0.329... | OPENQASM 3.0;
include "stdgates.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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
8e57fa8e3a9621a4b48da226f7c0c943 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -10.834162900272437, "params": [0.0023, -0.0616, -0.0014, -0.0913, 0.0024000000000000002, -0.1534, 0.0054, -0.1462, 0.007, -0.1046, 0.0018000000000000002, -0.14200000000000002, -0.0008, -0.1401, 0.0026000000000000003, -0.1484, -0.001, -0.15080000000000002, 0.0067, -0.1592, -0.000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(-0.0616) q[0];
rx(0.0024) q[1];
rz(-0.1534) q[1];
rx(0.007) q[2];
rz(-0.1046) q[2];
rx(-0.0008) q[3];
rz(-0.1401) q[3];
rx(-0.001) q[4];
rz(-0.1508) q[4];
rx(-0.0004) q[5];
rz(-0.1488) q[5];
rx(0.0009) q[6];
rz(-0.1394) q[6];
rx(0.0013) 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": 8} | {"circuits": [], "gradients": []} |
3065169488344352514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1], [0, 7], [2, 7], [3, 4], [8, 5], [5, 6], [9, 10]]} | {"states": [71, 79], "expectation_value": -0.3757372031252185, "params": [0.618, 0.6237, 0.5198, 0.49670000000000003, 0.5389, 0.5295, 0.6679, 0.6537000000000001, 0.8999, 0.8943000000000001, 0.6908000000000001, 0.6883, 0.678, 0.6596000000000001, 0.8821, 0.8012, 0.8931, 0.8877, 0.8953000000000001, 0.8904000000000001, 0.9... | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(10) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(10) | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101001110", "00000101111", "01000110101", "11011010001", "00001001111", "01101010100", "10010101011", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.618) q[0];
ry(0.5198) q[1];
ry(0.5389) q[2];
ry(0.6679) q[3];
ry(0.8999) q[4];
ry(0.6908) q[5];
ry(0.678) q[6];
ry(0.8821) q[7];
ry(0.8931) q[8];
ry(0.8953) q[9];
ry(0.9031) q[10];
crx(0.6162) q[10], q[0];
crx(0.8943) q[9], q[10];
crx(0.8802) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [18, 3], "expectation_value": -2.0767233522465807, "params": [[-0.0196, -0.0465, -0.019100000000000002], [-0.0012000000000000001, 0.054400000000000004, 0.0373]], "bitstrings": ["01101", "11100"], "total_optimization_steps": 10, "probabilities": [0.04135157247768881, 0.041351572477688836], "optimization_time"... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0686) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0686) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0686) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0686) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0784) 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... | {"k": 3} | {"circuits": [], "gradients": []} |
95cd968028de95e9bd1f0d835e513284 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [28, 88], "expectation_value": -3.9962371470649094, "params": null, "bitstrings": ["1100011", "0100111"], "total_optimization_steps": 28, "probabilities": [0.06706855356024868, 0.9294631320333175], "optimization_time": 26.32440495491028} | 0.5 * (Z(0) @ 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(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "0100111", "1100011", "1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[6];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
cry(-0.1259) q[3], q[1];
ry(-0.451) q[4];
cry(0.4963) q[3], q[0];
cry(-0.3... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.17704452088402148, "params": [[-0.0825], [0.0741]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017590883108826377, 0.01794160970236169], "optimization_time": 1.7364342212677002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "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];
cx q[1], q[0];
rz(-0.0825) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0825) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0825) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(-0.0825) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} |
b4b67a376a51e81e750e2ea3466d65fc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [98, 114], "expectation_value": -6.1649653463686445, "params": [[[-0.0015, 0.0051], [0.36200000000000004, 0.0027], [-0.0025, 0.0018000000000000002], [1.7014, 0.0026000000000000003], [1.7067, 0.0076], [1.6371, 0.0085], [-0.0033, 0.0094], [1.4875, 0.004], [1.7124000000000001, 0.006500000000000001], [-0.0027, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110011001", "1110001101", "1111000101", "0111011001", "1001011011", "0011011011", "1110101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0015) q[0];
rz(0.0051) q[0];
rx(0.362) q[1];
rz(0.0027) q[1];
rx(-0.0025) q[2];
rz(0.0018) q[2];
rx(1.7014) q[3];
rz(0.0026) q[3];
rx(1.7067) q[4];
rz(0.0076) q[4];
rx(1.6371) q[5];
rz(0.0085) q[5];
rx(-0.0033) q[6];
rz(0.0094) q[6];
rx(1.4875) 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": []} |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -1.5402840990052526, "params": [[0.0721, 0.0716, 0.07150000000000001, 0.0752], [-0.0756, -0.0669, -0.0609, -0.065]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.03270971301862406, 0.0379191413914938], "optimization_time": 6.2195065021... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0721) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0721) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0721) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.0721) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0.0721... | OPENQASM 3.0;
include "stdgates.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": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 19.034900426864624} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.5486) q[3];
ry(-1.5486) q[5];
ry(1.4448) q[4];
ry(1.4447) q[2];
ry(1.4447) q[0];
cry(0.1189) q[4], q[0];
cry(0.119) q[0], q[2];
cry(0.1187) q[2], q[4];
cry(-0.0222) q[4], q[3];
cry(-0.0222... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
d67dce3f5139cf39967f12d8ad7a1f95 | 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": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [250, 234], "expectation_value": -9.96112505030483, "params": [[0.0061, -0.044500000000000005, -0.012], [-0.042100000000000005, 0.0448, 0.015700000000000002]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0036390520261451375, 0.004461220118107843], "optimizati... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0549) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0549) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0549) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0549) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e6bea2df289759c654c84c4699ef556c | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [230, 118], "expectation_value": -25.683719139834494, "params": [[0.024900000000000002, -0.005200000000000001], [-0.08800000000000001, -0.0723]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010834178673359288, 0.011606643869774893], "optimization_time": 8.00843... | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 6.5 * Z(0) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(0.249) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.249) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.249) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.249) q[2];
cx q[0], q[2];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
4e789b5f5e852b62538cbace7bbd9fdb | 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": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 101], "expectation_value": -0.13663630328557336, "params": [[-0.031100000000000003, 0.0034000000000000002, 0.0733], [0.0436, 0.0346, -0.0476]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008751036743710295, 0.008751036743710305], "optimization_time": 8.7607... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0311) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0311) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0311) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.0311) q[5];
cx q[3], q[5];
cx q[5], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
6446c2e39f9d792cb9f32c544e2de260 | 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": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [222, 188], "expectation_value": -7.30690396546536, "params": [[0.051300000000000005], [-0.052700000000000004]], "bitstrings": ["100100001", "101000011"], "total_optimization_steps": 10, "probabilities": [0.003334860943004783, 0.003860093481943613], "optimization_time": 1.957099437713623} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.4617) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.4617) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.4617) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.4617) q[4];
cx q[2], 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;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 53], "expectation_value": -3.9991341831025764, "params": null, "bitstrings": ["1000011", "1001010"], "total_optimization_steps": 29, "probabilities": [0.06620744839636572, 0.9331647657999109], "optimization_time": 26.93577265739441} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[2];
cry(-1.0398) q[6], q[3];
ry(0.7022) q[6];
ry(-0.4578) q[3];
cry(0.497) q[4], q[6];
cry(-0.3761) q[4], q[3];
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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7e25bc80cdf895181c3cb661afbef0b1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [127, 124], "expectation_value": -1.4793525621142254, "params": [[-0.0888], [0.0816]], "bitstrings": ["0000000", "0000011"], "total_optimization_steps": 10, "probabilities": [0.012893324977804953, 0.012893324977804954], "optimization_time": 1.6733667850494385} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"]} | 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(0.3552) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1776) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.3552) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.444) q[1];
cx q[2], q[1];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x1)... | {"node": 7} | {"circuits": [], "gradients": []} |
74f901e921e304abad28a5ed7b0926c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [1022, 447], "expectation_value": -5.61272101829592, "params": [[-0.154], [0.1584]], "bitstrings": ["0000000001", "1001000000"], "total_optimization_steps": 20, "probabilities": [0.005843427182736009, 0.0073179069632903024], "optimization_time": 3.556800603866577} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.5 * (Z(7) @ Z(8)) + -1.25 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.75, -19.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["1001000000", "1101100110"]} | 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(0.308) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.308) q[3];
cx q[0], q[3];
cx q[1], q[8];
rz(0.385) q[8];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
bba2e06053fa3c8a9a710a4bd3703eb1 | 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": 2, "target": 3}, ... | {"states": [844, 846], "expectation_value": -1.6408332197941637, "params": [[[0.435, 0.047], [0.5057, 0.0577], [0.2592, 0.0335], [0.4924, -0.0047], [0.1295, -0.043000000000000003], [-0.0083, -0.033600000000000005], [0.08940000000000001, 0.49970000000000003], [0.2511, 0.48850000000000005], [0.4859, 0.5055000000000001], ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010001", "1000010110", "0010110001", "1000011001", "1001010010", "1000010011", "0001111000", "0001110010", "0011110000", "0010110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.435) q[0];
ry(0.5057) q[1];
ry(0.2592) q[2];
ry(0.4924) q[3];
ry(0.1295) q[4];
ry(-0.0083) q[5];
ry(0.0894) q[6];
ry(0.2511) q[7];
ry(0.4859) q[8];
ry(0.4462) 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": []} |
18da590fe700e31fa390d98ebb622e6e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [512, 511], "expectation_value": -13.79743138803774, "params": [[[-0.0164, -0.3673], [0.1525, 0.0036000000000000003], [-0.0033, -0.0037], [0.0148, -0.0031000000000000003], [0.002, -0.0028], [-0.0008, -0.0016], [-0.011000000000000001, -0.0022], [-0.0026000000000000003, 0.0028], [-0.3009, -1.2782], [-0.0077, 0... | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0164) q[0];
ry(0.1525) q[1];
ry(-0.0033) q[2];
ry(0.0148) q[3];
ry(0.002) q[4];
ry(-0.0008) q[5];
ry(-0.011) q[6];
ry(-0.0026) q[7];
ry(-0.3009) q[8];
ry(-0.0077) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
a209cb26fa5154dbaa2e5c020f2a6e17 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": ... | {"states": [0, 2046], "expectation_value": -25.660228482017587, "params": [[[-0.0017000000000000001, 0.0056], [0.0002, -0.6038], [0.0025, 0.0027], [-0.008, 0.0021000000000000003], [0.0026000000000000003, 0.0019], [0.0025, 0.003], [0.0024000000000000002, 0.003], [0.0028, -0.0035], [0.0025, -0.0025], [0.00210000000000000... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(11) @ Z(6)) + -0.75 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(11)) + -0.75 * (Z(1) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(1)) + -0.25 * (Z(9) @ Z(2)) + -1.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.75, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0017) q[0];
ry(0.0002) q[1];
ry(0.0025) q[2];
ry(-0.008) q[3];
ry(0.0026) q[4];
ry(0.0025) q[5];
ry(0.0024) q[6];
ry(0.0028) q[7];
ry(0.0025) q[8];
ry(0.0021) q[9];
ry(-0.2739) q[10];
ry(-0.0007) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-3800584376404279827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9], [0, 11, 4, 7], [8, 10], [2, 3, 4, 7, 8, 9, 11], [0, 1, 2, 4, 5, 6, 9, 10, 11], [0, 1, 2, 3, 7, 9, 11], [1, 2, 4, 5, 6, 8, 9, 11], [2, 5, 6, 7, 8, 9]]} | {"states": [1526, 1527], "expectation_value": -1.6413802889929834, "params": [0.36360000000000003, -0.6427, 0.3587, 0.0019, 1.5841, -0.0188, 1.5797, -0.6379, 0.38780000000000003, 0.654, 0.38820000000000005, 0.0098, 0.9004000000000001, 0.0233, 1.3115, -0.0029000000000000002, 1.5621, -0.004200000000000001, 1.567000000000... | 0.051587301587301584 * (Z(0) @ Z(1)) + 0.06944444444444445 * (Z(2) @ Z(1)) + 0.051587301587301584 * (Z(2) @ Z(0)) + 0.037698412698412696 * (Z(3) @ Z(1)) + 0.037698412698412696 * (Z(3) @ Z(0)) + 0.061507936507936505 * (Z(3) @ Z(2)) + 0.04563492063492063 * (Z(4) @ Z(1)) + 0.1111111111111111 * (Z(4) @ Z(0)) + 0.0694444444... | 8 | 12 | 1 | {"smallest_eigenvalues": [-1.8428571428571425, -1.8428571428571425], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8095238095238098, "smallest_bitstrings": ["100000001100", "101000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3636) q[0];
rz(-0.6427) q[0];
rx(1.5841) q[1];
rz(-0.0188) q[1];
rx(0.3878) q[2];
rz(0.654) q[2];
rx(0.9004) q[3];
rz(0.0233) q[3];
rx(1.5621) q[4];
rz(-0.0042) q[4];
rx(1.1534) q[5];
rz(0.1482) q[5];
rx(1.5764) q[6];
rz(0.0018) q[6];
rx(1.5794) 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": []} |
47e061061a6d0acfe5610133d54047de | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 1, ... | {"states": [43, 127], "expectation_value": -12.071899014108673, "params": [[0.0834, 0.0178, 0.06670000000000001, 0.11030000000000001], [-0.20350000000000001, -0.16920000000000002, -0.1608, -0.1645]], "bitstrings": ["11010100", "10000000"], "total_optimization_steps": 30, "probabilities": [0.0482605119107892, 0.05024394... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1251) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.2502) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.2919) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(-0.1668) q[1];
cx q[5], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.30450178600233907, "params": [[-0.0666, -0.061200000000000004], [0.07490000000000001, 0.0645]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.037218573365533886, 0.0372185733655339], "optimization_time": 4.151022672653198} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0666) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0666) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0666) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0666) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0666) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz... | null | {"circuits": [], "gradients": []} |
3b4195810bf2a6f7a0a91b99109270dd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [238, 110], "expectation_value": -26.21128466213866, "params": [[-0.0313, 0.0059], [0.07640000000000001, 0.0748]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010275872341191093, 0.012527997533810504], "optimization_time": 3.594264507293701} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2504) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2504) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2504) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2504) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
a51531ca07978522e4bcbb0967753d9f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [150, 151], "expectation_value": -81.27242063915703, "params": [[[0.6876, 0.0599], [0.6862, 0.0792], [0.22740000000000002, 0.0219], [-0.07880000000000001, -0.061000000000000006], [1.0114, 0.2733], [0.09910000000000001, 0.3008], [0.1641, 0.39430000000000004], [0.4344, 0.3638], [0.6496000000000001, 0.1806]], [... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 20.5 * Z(1) + 7.0 * Z(0) + -5.5 * Z(2) + 19.5 * Z(4) + 8.0 * Z(3) + 15.5 * Z(6... | 15 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6876) q[0];
ry(0.6862) q[1];
ry(0.2274) q[2];
ry(-0.0788) q[3];
ry(1.0114) q[4];
ry(0.0991) q[5];
ry(0.1641) q[6];
ry(0.4344) q[7];
ry(0.6496) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
0a6de38544738238968ffe8fd3eccf1a | 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": [1142, 1110], "expectation_value": -81.7818435199468, "params": [0.0023, 0.8103, 1.2031, 0.2841, 0.5898, 0.4753, 0.0032, -0.7352000000000001, 0.4898, 0.6098, 1.2013, 0.30460000000000004, 0.7745000000000001, 0.5518000000000001, 1.2026000000000001, 0.2112, -0.0223, 0.8541000000000001, 1.2048, 0.002100000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(3) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 9.0 * Z(1) + 3.0 * Z(2) + 10.0 * Z(5) + 1.0 * Z(4) + 5.0 * Z(6) + 10.0 * Z(7) + 6.0 * Z(9) + -6.... | 18 | 12 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["101110101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0023) q[0];
rz(0.8103) q[0];
rx(1.2031) q[1];
rz(0.2841) q[1];
rx(0.5898) q[2];
rz(0.4753) q[2];
rx(0.0032) q[3];
rz(-0.7352) q[3];
rx(0.4898) q[4];
rz(0.6098) q[4];
rx(1.2013) q[5];
rz(0.3046) q[5];
rx(0.7745) q[6];
rz(0.5518) q[6];
rx(1.2026) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 11.216200351715088} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[5];
ry(-1.57) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
cry(0.7632) q[5], q[0];
cry(-0.7635) q[1], q[0];
cry(-0.0027) q[5], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
8176072057016441319 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 11, 12], [0, 7], [1, 2, 5, 6, 7, 9, 12], [0, 1, 2, 4, 5], [10, 5], [0, 2, 4, 11, 12], [1, 4, 5, 8, 11], [10, 4], [8, 2, 3, 12], [1, 2, 6, 9, 10]]} | {"states": [2026, 2042], "expectation_value": -2.8688246063598983, "params": [-0.0028, -0.0027, -0.0024000000000000002, -0.0024000000000000002, 1.6881000000000002, 1.458, 2.5339, 0.6017, 1.5549000000000002, 1.5751000000000002, 1.5685, 1.5677, 1.6300000000000001, 1.5059, 1.6014000000000002, 1.5583, 0.7817000000000001, 0... | 0.1376984126984127 * (Z(1) @ Z(2)) + 0.09722222222222221 * (Z(3) @ Z(2)) + 0.013888888888888888 * (Z(3) @ Z(1)) + 0.11388888888888889 * (Z(4) @ Z(2)) + 0.11388888888888889 * (Z(4) @ Z(1)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.08769841269841269 * (Z(5) @ Z(2)) + 0.1376984126984127 * (Z(5) @ Z(1)) + 0.01388888888888... | 14 | 13 | 1 | {"smallest_eigenvalues": [-2.9071428571428575, -2.9071428571428575], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.85952380952381, "smallest_bitstrings": ["0010000100110", "1100000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0028) q[0];
ry(-0.0024) q[1];
ry(1.6881) q[2];
ry(2.5339) q[3];
ry(1.5549) q[4];
ry(1.5685) q[5];
ry(1.63) q[6];
ry(1.6014) q[7];
ry(0.7817) q[8];
ry(1.3792) q[9];
ry(-0.0026) q[10];
ry(0.6612) q[11];
ry(0.0008) q[12];
crx(0.0937) q[12], q[0];
crx(-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": []} |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 18.438915491104126} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-1.0342) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[4], q[0];
cry(-0.3788) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c44dfb9664e861f7a27d6711164d42e9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [511, 510], "expectation_value": -1.819435973707534, "params": [[-0.0385], [0.0437]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.002790747203365859, 0.0028096010227285383], "optimization_time": 5.546427488327026} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(6) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["000000001"]} | 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(0.231) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2695) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.077) q[5];
cx q[1], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"node": 9} | {"circuits": [], "gradients": []} |
-4450188244082697685 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 5, 7], [3, 5, 7], [8, 3, 6, 7], [0, 2, 4, 5], [0, 2, 3, 7], [0, 1, 4], [0, 1, 8, 7], [8, 3, 4, 7], [8, 3, 5], [0, 8, 4, 5], [8, 2, 3], [1, 2, 6, 7], [8, 0, 3], [5, 6], [0, 1, 2, 5], [8, 1, 5]]} | {"states": [91, 347], "expectation_value": -1.8623363188442528, "params": [[-0.2373], [0.2349]], "bitstrings": ["110100100", "010100100"], "total_optimization_steps": 30, "probabilities": [0.005758412863009562, 0.005960195605827219], "optimization_time": 8.441060543060303} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666669, "smallest_bitstrings": ["010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[4];
rz(-0.2373) q[4];
cx q[6], q[4];
cx q[6], q[1];
rz(-0.0396) q[1];
cx q[6], q[1];
cx q[4], q[1];
rz(-0.0791) q[1];
cx q[4], q[1];
cx q[6], q[2];
rz(-0.0396) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-5128128083364250668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 6], [0, 1, 2, 3, 5, 7, 8, 9], [0, 1, 4, 5, 6, 8], [2, 3, 4, 6, 7, 8], [2, 3, 4, 8, 9], [0, 2, 6, 7, 8], [8, 1, 6, 7], [0, 2, 4, 6, 7, 9], [8, 5, 6, 7], [0, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 8], [0, 3, 4, 8, 9]]} | {"states": [1021, 509], "expectation_value": -1.9612879044256903, "params": [0.7821, 0.8482000000000001, 1.3921000000000001, 1.3954, 1.0785, 1.3626, 1.3827, 1.3800000000000001, 1.3873, 1.3838000000000001, 1.3838000000000001, 1.3838000000000001, 1.3836000000000002, 1.3874, 1.3901000000000001, 1.387, 1.3923, 1.3947, 1.38... | 0.2011904761904762 * (Z(8) @ Z(9)) + 0.2011904761904762 * (Z(3) @ Z(9)) + 0.25833333333333336 * (Z(3) @ Z(8)) + 0.11666666666666667 * (Z(6) @ Z(9)) + 0.36666666666666664 * (Z(6) @ Z(8)) + 0.15 * (Z(6) @ Z(3)) + 0.10119047619047619 * (Z(0) @ Z(9)) + 0.175 * (Z(0) @ Z(8)) + 0.125 * (Z(0) @ Z(3)) + 0.15 * (Z(0) @ Z(6)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.4190476190476193], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.419047619047619, "smallest_bitstrings": ["1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7821) q[0];
ry(1.3921) q[1];
ry(1.0785) q[2];
ry(1.3827) q[3];
ry(1.3873) q[4];
ry(1.3838) q[5];
ry(1.3836) q[6];
ry(1.3901) q[7];
ry(1.3923) q[8];
ry(1.3884) q[9];
crx(0.3494) q[9], q[0];
crx(0.5156) q[8], q[9];
crx(0.4307) q[7], q[8];
crx(0.3409) 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": []} |
02575a12c565dc28617818fe7f0b4a99 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 145.094331741333} | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(38.6317) q[6];
ry(-6.1156) q[5];
ry(2.6234) q[2];
ry(0.6747) q[3];
ry(0.3884) q[1];
cry(0.208) q[6], q[5];
cry(-0.004) q[6], q[1];
cry(0.2368) q[6], q[2];
cry(-0.1517) q[3], q[2];
cry(-0.2602) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
27e0cb7cd7d4c5b7855a750cf9b67fb8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"s... | {"states": [255, 6399], "expectation_value": -23.0516980543032, "params": [[[0.0024000000000000002, 0.0023], [1.6229, 0.0026000000000000003], [-0.0021000000000000003, 0.0094], [0.0024000000000000002, 0.0077], [-3.1584000000000003, 0.004], [0.0024000000000000002, 0.0028], [0.0025, 0.004], [0.0025, 0.0055000000000000005]... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(10)) + -2.0 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(11)) + -2.0 * (Z(2) @ Z... | 2 | 13 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0011100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0024) q[0];
rz(0.0023) q[0];
rx(1.6229) q[1];
rz(0.0026) q[1];
rx(-0.0021) q[2];
rz(0.0094) q[2];
rx(0.0024) q[3];
rz(0.0077) q[3];
rx(-3.1584) q[4];
rz(0.004) q[4];
rx(0.0024) q[5];
rz(0.0028) q[5];
rx(0.0025) q[6];
rz(0.004) q[6];
rx(0.0025) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 13} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -1.1381668868097312, "params": [[-0.0659, -0.065, -0.07740000000000001, -0.08710000000000001], [0.0742, 0.0674, 0.07050000000000001, 0.0755]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.06181627792535482, 0.06744768007873352], "optimiz... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"]} | 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(-0.0659) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0659) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0659) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0659) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0659) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 31.697940587997437} | 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)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"]} | 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(-1.3016) q[2], q[5];
cry(-1.3016) q[4], q[1];
cry(-1.1919) q[3], q[0];
ry(0.6705) q[2];
ry(-0.4657) q[5];
ry(0.6671) q[4];
ry(-0.4281) q[1];
cry(0.654) q[2], q[3];
cry(0.4958) q[2], q[4];
cry(0.4877) q[4], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.3016) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
646c4ffdec7c3b688313fcfec6df6ea9 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}]} | {"states": [15285, 15283], "expectation_value": -7.918753872187532, "params": [0.4651, 0.4515, 1.0484, 0.36860000000000004, 1.0562, 0.0196, 1.066, 0.23970000000000002, 0.44270000000000004, 0.49460000000000004, 1.0733000000000001, 0.231, 1.0443, 0.0086, 1.1780000000000002, 0.0263, 0.5348, 0.4665, 1.1376, 0.0880000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 3 | 15 | 3 | {"smallest_eigenvalues": [-9.49999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999941, "smallest_bitstrings": ["100010001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.4651) q[0];
rz(0.4515) q[0];
rx(1.0484) q[1];
rz(0.3686) q[1];
rx(1.0562) q[2];
rz(0.0196) q[2];
rx(1.066) q[3];
rz(0.2397) q[3];
rx(0.4427) q[4];
rz(0.4946) q[4];
rx(1.0733) q[5];
rz(0.231) q[5];
rx(1.0443) q[6];
rz(0.0086) q[6];
rx(1.178) 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
60adc8c0ec7ab7eb551a043d909b727d | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [74, 90], "expectation_value": -2.518978099450955, "params": [0.1882, -0.1431, 0.184, -0.1575, 0.4005, -0.0664, 0.4031, -0.0441, 0.1115, 0.2029, 0.1105, 0.1951, 0.3975, 0.036000000000000004, 0.3986, 0.045700000000000005, 0.3997, 0.0663, 0.404, 0.043300000000000005, 0.18510000000000001, -0.1346, 0.18180000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -0.5 * Z(5) + -0.5 * Z(0) + 0.0 * Z(4) + -1.0 * Z(2) + -0.5 * Z(1) + -1.5 * Z(7) + -0.5 * Z(6) + -0.5 * Z(3) | 5 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100101", "10110001", "00101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1882) q[0];
rz(-0.1431) q[0];
rx(0.4005) q[1];
rz(-0.0664) q[1];
rx(0.1115) q[2];
rz(0.2029) q[2];
rx(0.3975) q[3];
rz(0.036) q[3];
rx(0.3997) q[4];
rz(0.0663) q[4];
rx(0.1851) q[5];
rz(-0.1346) q[5];
rx(0.4057) q[6];
rz(-0.0608) q[6];
rx(-0.0049) 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": []} |
6d4b2051a880acd54ff8a80077c8d448 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"sour... | {"states": [320, 352], "expectation_value": -3.512098041475822, "params": [[[0.4007, 0.0005], [-0.0021000000000000003, 0.19460000000000002], [0.40140000000000003, 0.0019], [0.39130000000000004, -0.0012000000000000001], [0.13090000000000002, 0.1163], [0.18560000000000001, 0.0903], [0.12840000000000001, 0.145000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -4.0, "smallest_bitstrings": ["101101101", "110001111", "101001111", "010111101", "110111010", "101110101", "101010111", "0111101... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4007) q[0];
rz(0.0005) q[0];
rx(-0.0021) q[1];
rz(0.1946) q[1];
rx(0.4014) q[2];
rz(0.0019) q[2];
rx(0.3913) q[3];
rz(-0.0012) q[3];
rx(0.1309) q[4];
rz(0.1163) q[4];
rx(0.1856) q[5];
rz(0.0903) q[5];
rx(0.1284) q[6];
rz(0.145) q[6];
rx(0.1235) 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": []} |
6172ec2f30329f156b64312801e66ef4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [63, 47], "expectation_value": -1.3588644612544492, "params": [[0.0661, 0.07100000000000001], [-0.06430000000000001, -0.0694]], "bitstrings": ["1000000", "1010000"], "total_optimization_steps": 10, "probabilities": [0.013110307661023578, 0.013315552988277161], "optimization_time": 2.4437501430511475} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1653) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1653) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0331) q[3];
cx q[1], q[3];
cx q[2], q[6];
rz(-0.1322) 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": []} |
ac7808e35306d42521df6357b30cc9f8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [262, 341], "expectation_value": -0.9425220073379815, "params": [[0.009300000000000001, 0.0092, 0.0031000000000000003, 0.00030000000000000003, 0.0029000000000000002, 0.0019, 0.0036000000000000003, -0.0009000000000000001, 0.008400000000000001], [0.005200000000000001, 0.0013000000000000002, 0.00390000000000000... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 15.5 * Z(2) + 6.5 * Z(0) + 3.0 * Z(1) + 8.0 * Z(4) + 3.5 * Z(5) + 16.5 * Z(6) + -0.5 * Z(8) + -5.5 * Z(7) + -10.0 * Z(3) | 9 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["010101010"]} | 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];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0093) q[0];
rx(0.0092) q[1];
rx(0.0031) q[2];
rx(0.0003) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
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