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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
473775bc8d8b4cca680d00f7b64c1aa1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [501, 637], "expectation_value": -0.16627370876988137, "params": [[-0.050100000000000006, -0.051000000000000004, -0.0166], [0.0644, 0.064, 0.0461]], "bitstrings": ["1000001010", "0110000010"], "total_optimization_steps": 10, "probabilities": [0.0014414315459697973, 0.0014414315459698038], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"]} | 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(-0.0501) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0063) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0063) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0063) 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": []} |
a20be77afa1a8b9b75f27972fb6e9517 | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [123, 75], "expectation_value": -3.375501002450643, "params": [[0.0748, 0.0717], [-0.0637, -0.0608]], "bitstrings": ["10000100", "10110100"], "total_optimization_steps": 10, "probabilities": [0.010080707977176572, 0.01051238951725282], "optimization_time": 3.3569107055664062} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.187) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.2244) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.0374) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0748) q[6];
cx q[0], q[6];
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": []} |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1242, 1502], "expectation_value": -2.985694493513399, "params": null, "bitstrings": ["01100100101", "01000100001"], "total_optimization_steps": 100, "probabilities": [0.06306196579520189, 0.6625597524668825], "optimization_time": 430.1440432071686} | 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 | 11 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(-1.1871) q[9], q[5];
ry(1.1774) q[6];
ry(1.0342) q[7];
ry(1.0231) q[0];
cry(-0.5442) q[4], q[5];
ry(0.5608) q[9];
cry(-0.8972) q[2], q[10];
cry(0.7468) q[9], q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(-1.1871) q[9], 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... |
68c06373e1ff38b3d9efe83410f397b0 | 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": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -14.78920362881859, "params": [-0.0292, 0.0374, -0.023100000000000002, 0.0079, 0.0023, 0.2979, 0.0032, 0.2998, 0.0022, 0.263, 0.0043, 0.29710000000000003, 0.3987, -0.0005, 0.4006, -0.0004, 0.0006000000000000001, 0.3099, 0.0026000000000000003, 0.31770000000000004, 0.000900000000... | -0.75 * (Z(0) @ Z(8)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(10)) + -0.75 * (Z(1) @ Z(11)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(11)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(11)) + -0.75 *... | 6 | 12 | 2 | {"smallest_eigenvalues": [-15.75, -15.75, -15.75, -15.75, -15.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -14.75, "smallest_bitstrings": ["111011101011", "111011101001", "111011111111", "111011101111", "100000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0292) q[0];
rz(0.0374) q[0];
rx(0.0023) q[1];
rz(0.2979) q[1];
rx(0.0022) q[2];
rz(0.263) q[2];
rx(0.3987) q[3];
rz(-0.0005) q[3];
rx(0.0006) q[4];
rz(0.3099) q[4];
rx(0.0009) q[5];
rz(0.2575) q[5];
rx(0.0036) q[6];
rz(0.306) q[6];
rx(0.0079) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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 flo... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.3682744532420451, "params": [[-0.061200000000000004], [0.0719]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004852267491854306, 0.004950293375216595], "optimization_time": 1.8923869132995605} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0306) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.153) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0306) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0918) q[3];
cx q[1], 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;
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.883822150676084, "params": [[0.0521, 0.0199], [-0.054400000000000004, -0.027]], "bitstrings": ["1011", "1110"], "total_optimization_steps": 10, "probabilities": [0.0741811242616226, 0.07603231582632994], "optimization_time": 1.7596919536590576} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 16 | 4 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.1824) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1824) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1824) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2084) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1824) q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 200.94389581680298} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 7 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.2982) q[3];
ry(-0.7275) q[4];
cry(-1.2688) q[6], q[3];
cry(-0.8374) q[7], q[4];
cry(-0.7943) q[5], q[0];
cry(-1.5708) q[1], q[2];
ry(1.391) q[5];
cry(-0.3522) q[7], q[0];
c... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-5783185348626143846 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3, 4, 5], [1, 3, 6, 7, 8, 10, 12], [0, 8, 3, 7], [9, 10, 3, 7], [9, 6], [1, 3, 4, 9, 10, 11], [4, 7], [1, 2, 7, 8, 12], [1, 3, 4, 5, 6, 8, 10, 11, 12], [1, 2, 11], [0, 12, 5], [1, 2, 5], [0, 2, 12], [1, 2, 4], [1, 2, 7, 8, 9, 10], [2, 3, 4, 10, 12... | {"states": [1949, 1951], "expectation_value": -5.167429754276557, "params": [0.0026000000000000003, -0.0024000000000000002, 2.9971, 2.382, 1.3463, 0.8778, 1.5679, 1.5676, 1.6211, 1.5096, 1.5734000000000001, 1.5722, 0.12340000000000001, -0.128, -0.0025, -0.0025, 1.6905000000000001, 1.4561000000000002, 1.5715000000000001... | 0.19999999999999998 * (Z(0) @ Z(3)) + 0.18055555555555558 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.16388888888888886 * (Z(5) @ Z(3)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.10436507936507936 * (Z(1) @ Z(3)) + 0.11666666666666667 * (Z(1) @ Z(0)) + 0.247222222222222... | 14 | 13 | 1 | {"smallest_eigenvalues": [-5.309523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.19047619047619, "smallest_bitstrings": ["1100001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0026) q[0];
ry(2.9971) q[1];
ry(1.3463) q[2];
ry(1.5679) q[3];
ry(1.6211) q[4];
ry(1.5734) q[5];
ry(0.1234) q[6];
ry(-0.0025) q[7];
ry(1.6905) q[8];
ry(1.5715) q[9];
ry(1.6758) q[10];
ry(2.2689) q[11];
ry(1.5794) q[12];
crx(-0.0035) q[12], q[0];
crx(-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": []} |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [66, 36], "expectation_value": -1.7133994756747561, "params": [[0.07200000000000001, 0.07100000000000001, 0.0717], [-0.0666, -0.0604, -0.0635]], "bitstrings": ["0111101", "1011011"], "total_optimization_steps": 10, "probabilities": [0.014532521600995215, 0.01453252160099523], "optimization_time": 7.838826894... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.072) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.072) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.072) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.072) q[4];
cx q[0], q[4];
cx q[3], q[4];
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] 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": []} |
596dc591e846e98017ad5da8b3c9d903 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [316, 62], "expectation_value": -1.2728022601840472, "params": [[[0.3934, 0.0519], [0.046900000000000004, -0.0015], [0.3791, -0.3304], [0.3121, 0.4052], [0.394, 0.39980000000000004], [0.387, 0.3911], [0.27030000000000004, 0.4073], [0.3669, 0.39930000000000004], [0.39890000000000003, 0.1976]], [[0.3985, -0.01... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + -0.125 * (Z(4)... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["101000110", "100100110", "111000001", "101000011", "010110100", "110100100", "011010001", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3934) q[0];
ry(0.0469) q[1];
ry(0.3791) q[2];
ry(0.3121) q[3];
ry(0.394) q[4];
ry(0.387) q[5];
ry(0.2703) q[6];
ry(0.3669) q[7];
ry(0.3989) 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] 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": []} |
b0feb3aae3343307d568064fd81cd991 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [598, 249], "expectation_value": -2.62683300227312, "params": [[[1.5732000000000002, 1.5694000000000001], [1.5687, 1.5681], [1.5681, -1.5733000000000001], [1.5732000000000002, 1.5736], [1.5722, 1.5730000000000002], [1.5729, 1.5726], [-0.0038, 1.5686], [1.5731000000000002, 1.5726], [1.5737, 1.5731000000000002... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010101100", "0010101001", "0101000110", "0100101100", "010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5732) q[0];
ry(1.5687) q[1];
ry(1.5681) q[2];
ry(1.5732) q[3];
ry(1.5722) q[4];
ry(1.5729) q[5];
ry(-0.0038) q[6];
ry(1.5731) q[7];
ry(1.5737) q[8];
ry(1.5732) 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] 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": []} |
-4723911523161411303 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 9], [0, 1, 2, 3, 7, 8, 11], [8, 0, 3, 6], [8, 0, 11, 9], [0, 2, 3, 4, 5, 6, 7, 11], [8, 10]]} | {"states": [1529, 1533], "expectation_value": -1.499857369126665, "params": [[[-0.0161, 0.0098], [3.1387, 0.0044], [-0.010700000000000001, 0.0008], [3.1390000000000002, 0.0055000000000000005], [3.1391, 0.005], [3.1387, 0.0037], [2.0404, 0.0083], [3.1594, 0.0099], [3.1443000000000003, 0.0079], [1.576, 0.003], [0.0025, 0... | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.05 * (Z(4) @ Z(1)) + 0.06785714285714287 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(0)) + 0.06785714285714287 * (Z(5) @ Z(4)) + 0.05 * (Z(9) @ Z(1)) + 0.13333333333333333 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(4)) + 0.05 * (Z(9) @ Z(5)) + 0.0238095238095... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5690476190476192, -1.5690476190476192, -1.5690476190476192, -1.5690476190476192, -1.5690476190476192, -1.5690476190476192], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5690476190476188, "smallest_bitstrings": ["101000000010", "000010011000", "001001001000", "100000010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0161) q[0];
rz(0.0098) q[0];
rx(3.1387) q[1];
rz(0.0044) q[1];
rx(-0.0107) q[2];
rz(0.0008) q[2];
rx(3.139) q[3];
rz(0.0055) q[3];
rx(3.1391) q[4];
rz(0.005) q[4];
rx(3.1387) q[5];
rz(0.0037) q[5];
rx(2.0404) q[6];
rz(0.0083) q[6];
rx(3.1594) 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": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 13], "expectation_value": -3.253188781498924, "params": null, "bitstrings": ["110101", "110010"], "total_optimization_steps": 27, "probabilities": [0.05945610366321868, 0.8450668453098138], "optimization_time": 23.70820903778076} | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5486) q[0];
cry(-1.3016) q[5], q[4];
ry(1.2945) q[2];
ry(0.7837) q[5];
ry(-0.6338) q[4];
cry(1.3246) q[5], q[3];
cry(0.4629) q[2], q[5];
cry(-0.1352) q[3], q[4];
cry(0.2391) q[5], q[2];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
a6bb35c43fbf6c03eb6242fa1b7454af | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 12, "source": 0, "target": 6}, {"weight": 14, "sourc... | {"states": [234, 233], "expectation_value": -18.962708292922585, "params": [[-0.0363, 0.006200000000000001], [0.0814, 0.0757]], "bitstrings": ["100010101", "100010110"], "total_optimization_steps": 10, "probabilities": [0.0066615507423556635, 0.00809378263854871], "optimization_time": 3.0447349548339844} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 8.5 * Z(0) + 16.0 * Z(1) + 7.0 * Z(3) + 10.0 * Z(5) + 0.0 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.363) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.363) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.363) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.363) 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": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
a2309e736a2db650b81578db287977a0 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -27.166030677477018, "params": [[[0.0026000000000000003, 1.6041], [0.0022, 0.0027], [-0.0031000000000000003, 0.002], [0.003, 0.0033], [0.0028, -0.0029000000000000002], [0.0016, 0.0021000000000000003], [0.002, 0.002], [0.0027, 0.0025], [0.0029000000000000002, -0.0028], [0.00180... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0026) q[0];
ry(0.0022) q[1];
ry(-0.0031) q[2];
ry(0.003) q[3];
ry(0.0028) q[4];
ry(0.0016) q[5];
ry(0.002) q[6];
ry(0.0027) q[7];
ry(0.0029) q[8];
ry(0.0018) q[9];
ry(0.0022) q[10];
ry(0.0028) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}]} | {"states": [27997, 27869], "expectation_value": -9.341156139159024, "params": null, "bitstrings": ["001001010100010", "001001100100010"], "total_optimization_steps": 100, "probabilities": [0.05634154499919172, 0.8056074383368536], "optimization_time": 13279.209384679794} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 2 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999948, "smallest_bitstrings": ["001001100100010"]} | 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];
ry(1.5706) q[14];
ry(1.5706) q[10];
ry(1.5706) q[3];
ry(1.5681) q[0];
cry(1.5486) q[3], q[8];
cry(1.4449) q[3], q[13];
cry(1.4449) q[... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nry(1.5706) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... |
406f205c8f68e15d44cfdbce281f4c7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [5, 13], "expectation_value": -1.915200373791657, "params": [0.0021000000000000003, 0.5997, 0.0022, 0.5677, 0.7998000000000001, 0.007200000000000001, 0.8093, -0.08030000000000001, 0.5707, 0.3579, 0.8012, 0.4269, 0.0021000000000000003, 0.0031000000000000003, 0.0022, 0.0038, 0.7995, 0.0002, 0.8005, 0.006800000... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 3 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0021) q[0];
rz(0.5997) q[0];
rx(0.0022) q[1];
rz(0.5677) q[1];
rx(0.7998) q[2];
rz(0.0072) q[2];
rx(0.8093) q[3];
rz(-0.0803) q[3];
rx(0.5707) q[4];
rz(0.3579) q[4];
rx(0.8012) q[5];
rz(0.4269) q[5];
crz(0.4785) q[5], q[4];
crz(-0.2006) q[4], q[3];
crz(-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": []} |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 6], "expectation_value": -1.481006087425447, "params": [0.038, 0.0354, 0.0361, 0.0395, 0.1975, 0.1976, 0.1892, 0.19690000000000002, 0.1945, 0.1955, 0.039900000000000005, 0.0381, 0.034800000000000005, 0.0379, 0.19790000000000002, 0.2031, 0.19, 0.1978, 0.1915, 0.191, 0.0327, 0.0378, 0.0346, 0.0357, 0.19690... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 14 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11001", "11010", "10110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(0.038) q[0];
ry(0.0361) q[1];
ry(0.1975) q[2];
ry(0.1892) q[3];
ry(0.1945) q[4];
crx(-0.0221) q[4], q[0];
crx(-0.112) q[3], q[4];
crx(0.0447) q[2], q[3];
crx(0.1261) q[1], q[2];
crx(0.064) q[0], q[1];
ry(0.0354) q[0];
ry(0.0395) q[1];
ry(0.1976) q[2];
ry(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": []} |
3670c7801b6cdd8a09a5039cdc5a60e0 | 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": 6}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [29, 57], "expectation_value": -0.16520974356028076, "params": [[-0.0852], [0.0799]], "bitstrings": ["1100010", "1000110"], "total_optimization_steps": 10, "probabilities": [0.009223578682979924, 0.009223578682979926], "optimization_time": 1.2047131061553955} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000110", "1100010"]} | 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(-0.0852) q[0];
cx q[4], q[0];
cx q[0], q[6];
rz(-0.0852) q[6];
cx q[0], q[6];
cx q[0], q[3];
rz(-0.0852) q[3];
cx q[0], q[3];
cx q[4], q[1];
rz(-0.0852) q[1];
cx q[4], q[1];
cx q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[0];
cx q[4], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
093ab0c9fe5feaef4b3d6216ac525ffc | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 5}, {"capac... | {"states": [129, 1], "expectation_value": -1.5425543504702877, "params": [[-0.051300000000000005], [0.06280000000000001]], "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0015279603704805452, 0.001624962824598423], "optimization_time": 3.526837110519409} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.077) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0513) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0257) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.1283) q[5];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
20b257e7ab3ea05503daa46ec3868b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [309, 359], "expectation_value": -0.12041179438017008, "params": [[-0.0634, -0.0439], [0.0703, 0.0614]], "bitstrings": ["011001010", "010011000"], "total_optimization_steps": 10, "probabilities": [0.002428144364260587, 0.002601208691549703], "optimization_time": 13.673968315124512} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(7)) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6875, "smallest_bitstrings": ["010011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0634) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0317) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0317) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0317) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1648f0d72c91085a3c4d49e50a3ce69c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [201, 203], "expectation_value": -7.524603333125707, "params": [[-0.0018000000000000002, 0.0019, 0.6073000000000001, 0.9427000000000001, -0.0017000000000000001, 0.0014, 1.5934000000000001, 0.2421, 0.298, 1.2521], [-0.0018000000000000002, 0.0019, 1.6078000000000001, 1.5985, -0.0017000000000000001, -0.0016, 1.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["1100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0018) q[0];
ry(0.0019) q[1];
ry(0.6073) q[2];
ry(0.9427) q[3];
ry(-0.0017) q[4];
ry(0.0014) q[5];
ry(1.5934) q[6];
ry(0.2421) q[7];
ry(0.298) q[8];
ry(1.2521) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-5496995726423767974 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 4], [3, 4]]} | {"states": [22, 26], "expectation_value": -0.010014372769731834, "params": [[-0.0356], [0.0472]], "bitstrings": ["01001", "00101"], "total_optimization_steps": 10, "probabilities": [0.03187903820289721, 0.03187903820289721], "optimization_time": 0.5765964984893799} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01001", "00101", "11010", "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];
cx q[2], q[1];
rz(-0.0356) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(-0.0356) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(-0.0356) q[3];
cx q[4], q[3];
rz(0) q[2];
rz(0) q[1];
rz(0) q[4];
rz(0) q[0];
rz(0) q[3];
h q[0];
rz(0.094... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
rz(x1) q[2];
rz(x1) q[1];
rz(x1... | null | {"circuits": [], "gradients": []} |
6ecd75e5c401096d626359c0bd218089 | 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": [171, 174], "expectation_value": -76.51959639422108, "params": [[[1.5845, -0.0025], [1.5669000000000002, -0.0019], [0.0019, -0.0021000000000000003], [1.5675000000000001, 1.5712000000000002], [0.0024000000000000002, 1.5767], [-0.012, 1.5547], [0.0014, 1.5683], [1.5729, 1.5610000000000002], [0.0046, 1.51450000... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(7) @ Z(6)) + 8.5 * Z(3) + 7.5 * Z(1) + 11.5 * Z(2) + 9.5 * Z(5) + -5.0 * Z(4) + 9.0 * Z(8) + 7.0 * Z(6) + 16.5 * Z(7) + -13.0 * Z(0) | 15 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5845) q[0];
ry(1.5669) q[1];
ry(0.0019) q[2];
ry(1.5675) q[3];
ry(0.0024) q[4];
ry(-0.012) q[5];
ry(0.0014) q[6];
ry(1.5729) q[7];
ry(0.0046) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
644fdcaa9593488d274599db4ca916d0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [42, 106], "expectation_value": -6.9614952973032445, "params": [0.13340000000000002, 0.1295, -0.0054, 0.0007, -0.0056, -0.0004, 0.8042, 0.7978000000000001, 0.8052, 0.8003, -0.0013000000000000002, -0.0022, 0.8091, 0.8058000000000001, 0.0076, -0.0004, 0.7995, 0.8037000000000001, 0.2992, 0.2967, -0.2859, 0.0082... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["1110010101", "0111001011", "0111101010", "1011110100", "1001110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1334) q[0];
ry(-0.0054) q[1];
ry(-0.0056) q[2];
ry(0.8042) q[3];
ry(0.8052) q[4];
ry(-0.0013) q[5];
ry(0.8091) q[6];
ry(0.0076) q[7];
ry(0.7995) q[8];
ry(0.2992) q[9];
crz(-0.2859) q[9], q[0];
crz(0.0205) q[8], q[9];
crz(-0.3655) q[7], q[8];
crz(-0.0018... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
605742faa50c2e92c07356e058fd303f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 12.43683910369873} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
cry(-1.0343) q[3], q[5];
cry(-1.0343) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[3];
ry(-0.4549) q[0];
ry(-0.4549) q[5];
cry(0.4578) q[3], q[1];
cry(0.4515) q[1], q[3];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4227097630705595560 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 5, 7, 8, 9, 12], [3, 4, 7, 9, 10], [0, 1, 3, 5, 9, 10, 12], [1, 2, 3, 4, 5, 6, 7, 10], [0, 4, 5, 6, 8, 10, 11, 12], [0, 1, 4, 5, 6, 8, 11, 12], [1, 4, 5, 6, 8, 10], [0, 2, 3, 5, 6, 9, 10, 12], [0, 2, 4, 9, 10, 12], [11, 3], [0, 1, 6, 9, 10, 11, 12... | {"states": [7614, 7550], "expectation_value": -3.023600258624288, "params": [[0.3738], [-0.37270000000000003]], "bitstrings": ["0001001000001", "0001010000001"], "total_optimization_steps": 40, "probabilities": [0.001098520861070974, 0.0012294614039994331], "optimization_time": 12.21332573890686} | 0.1595238095238095 * (Z(2) @ Z(5)) + 0.13214285714285715 * (Z(7) @ Z(5)) + 0.08452380952380953 * (Z(7) @ Z(2)) + 0.17738095238095236 * (Z(8) @ Z(5)) + 0.09047619047619047 * (Z(8) @ Z(2)) + 0.08452380952380953 * (Z(8) @ Z(7)) + 0.1976190476190476 * (Z(9) @ Z(5)) + 0.14166666666666666 * (Z(9) @ Z(2)) + 0.1488095238095238... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.357142857142857], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.316666666666666, "smallest_bitstrings": ["0001010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[5], q[2];
rz(0.1193) q[2];
cx q[5], q[2];
cx q[5], q[7];
rz(0.0988) q[7];
cx q[5], q[7];
cx q[2], q[7];
rz(0.0632) q[7];
cx q[2], q[7];
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] 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": []} |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 13.185638189315796} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[3], q[0];
cry(-0.3778) q[3], q[5];
cry(-0.1177) q[3], q[2];
cry(0.10... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -0.0878969477450891, "params": [[0.0528, 0.0194, -0.0017000000000000001, -0.0403], [-0.0613, -0.034300000000000004, -0.0235, 0.0008]], "bitstrings": ["100101", "110001"], "total_optimization_steps": 10, "probabilities": [0.017455616691187656, 0.01745561669118766], "optimization... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0264) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0264) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0264) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0264) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 184.9582691192627} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 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(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "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];
ry(34.778) q[4];
ry(26.0857) q[7];
cry(2.9975) q[7], q[4];
ry(-3.4811) q[5];
ry(11.8178) q[2];
cry(-2.9363) q[7], q[5];
ry(1.6193) q[1];
cry(20.6965) q[1], q[4];
cry(-0.0103) q[7], q[6];
c... | null | {"matching": "maximum", "extra": "{\"n\": 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(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
7953673034098365204 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 6], [0, 2, 10, 6], [0, 9, 2, 11], [8, 5], [0, 11, 10, 2], [10, 11, 6], [1, 3, 7], [3, 6, 7], [8, 6, 7], [0, 9, 11, 8], [1, 10, 11], [0, 3, 4, 6], [8, 0, 6, 9]]} | {"states": [1833, 3881], "expectation_value": -3.6745679242738687, "params": [1.6311, 0.009000000000000001, 3.1433, 0.0097, 3.1437, 0.0017000000000000001, 3.1435, 0.007500000000000001, 0.7496, 0.0032, -0.0021000000000000003, 0.0063, 3.1397, 0.006500000000000001, 0.3265, 0.0099, 3.1444, 0.0041, 0.3186, 0.006200000000000... | 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(9)) + 0.25 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(2)) + 0.16666666666666666 * (Z(11) @ Z(9)) + 0.... | 3 | 12 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["000011010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6311) q[0];
rz(0.009) q[0];
rx(3.1433) q[1];
rz(0.0097) q[1];
rx(3.1437) q[2];
rz(0.0017) q[2];
rx(3.1435) q[3];
rz(0.0075) q[3];
rx(0.7496) q[4];
rz(0.0032) q[4];
rx(-0.0021) q[5];
rz(0.0063) q[5];
rx(3.1397) q[6];
rz(0.0065) q[6];
rx(0.3265) 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": []} |
a580428593ca2a54e0f078f27f8703fa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [0, 101], "expectation_value": -7.932378687058909, "params": [-0.3289, 0.0057, -0.35500000000000004, -0.1943, 0.2707, 0.33330000000000004, 0.3588, 0.24810000000000001, -0.3111, 0.39780000000000004, -0.343, 0.37170000000000003, -0.0066, 0.8936000000000001, 0.0044, 0.9112, 0.009300000000000001, 0.6072000000000... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 6 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.3289) q[0];
rz(0.0057) q[0];
rx(0.2707) q[1];
rz(0.3333) q[1];
rx(-0.3111) q[2];
rz(0.3978) q[2];
rx(-0.0066) q[3];
rz(0.8936) q[3];
rx(0.0093) q[4];
rz(0.6072) q[4];
rx(-0.2641) q[5];
rz(0.0107) q[5];
rx(-0.0017) q[6];
rz(0.592) q[6];
rx(-0.4226) 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": 7} | {"circuits": [], "gradients": []} |
04943d12be9331cc9245456617bb8845 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [506, 442], "expectation_value": -29.656177184325934, "params": [-0.0036000000000000003, 0.9629000000000001, -0.0018000000000000002, 0.9141, -0.0073, -0.6053000000000001, -0.0028, 0.9596, 1.042, -0.0055000000000000005, 1.0678, 0.013000000000000001, 0.4707, 0.4299, 1.0395, 0.0363, 0.687, -0.1825, 1.1448, 0.01... | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 18 | 13 | 3 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0036) q[0];
rz(0.9629) q[0];
rx(-0.0018) q[1];
rz(0.9141) q[1];
rx(-0.0073) q[2];
rz(-0.6053) q[2];
rx(-0.0028) q[3];
rz(0.9596) q[3];
rx(1.042) q[4];
rz(-0.0055) q[4];
rx(1.0678) q[5];
rz(0.013) q[5];
rx(0.4707) q[6];
rz(0.4299) q[6];
rx(1.0395) 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": 5} | {"circuits": [], "gradients": []} |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 14.057180881500244} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | 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[4];
ry(1.5681) q[2];
ry(1.5681) q[5];
cry(-1.5706) q[2], q[0];
ry(-1.445) q[1];
ry(-1.4418) q[3];
cry(-0.1257) q[5], q[1];
cry(-0.1218) q[5], q[3];
cry(0.021) q[2], q[4];
cry(-0.0002) q[5], q[0];
cry... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.024596520538762767, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["10", "11"], "total_optimization_steps": 10, "probabilities": [0.25242612441819345, 0.2525099435074002], "optimization_time": 0.6140518188476562} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0551) q[0];
cx q[1], q[0];
rz(-0.1102) q[0];
rz(-0.1102) q[1];
h q[0];
rz(-0.09) q[0];
h q[0];
h q[1];
rz(-0.09) q[1];
h q[1];
c[0] = measure q[0];
c[1] = measure q[1]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x1) q[1];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h q[1];
c[0] = measure q[0];
c[1] = measure q[1]; | null | {"circuits": [], "gradients": []} |
9b8c0ccb32d0f88d964f624767035a96 | 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": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -0.7448210997067177, "params": [[-0.0304, -0.017400000000000002, -0.0616], [0.038400000000000004, 0.0006000000000000001, 0.053200000000000004]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.005998668406699804, 0.006170821616758863], ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0456) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0304) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0456) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(0.076) q[2];
cx q[1], q[2];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [10, 12], "expectation_value": -1.9729032350612994, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367529, 0.899032607013672], "optimization_time": 6.77312445640564} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "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];
ry(-1.4449) q[0];
ry(-1.4449) q[4];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[3];
ry(0.6944) q[2];
ry(-0.451) q[3];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[3];
cry(-0.1259) q[1], q[4];
cry(-0.1217) q[1], q[0];
cry(0.112... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
6097cf775599b8557e7af2c2f7eca9b3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [361, 489], "expectation_value": -3.177353095197495, "params": [[[-0.0719, 0.030100000000000002, 0.0082, 0.0004], [0.907, -0.0152, 0.8243, 0.004], [-0.33590000000000003, -0.0017000000000000001, 0.005200000000000001, -0.0063], [0.7493000000000001, 0.0014, 1.0608, 0.005], [1.2919, 0.0056, 0.0046, 0.0033], [-0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(4... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1100010100", "1000010110", "0011010010", "0111010000", "0100110100", "0101010100", "0101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0719) q[0];
rz(0.0301) q[0];
ry(0.907) q[1];
rz(-0.0152) q[1];
ry(-0.3359) q[2];
rz(-0.0017) q[2];
ry(0.7493) q[3];
rz(0.0014) q[3];
ry(1.2919) q[4];
rz(0.0056) q[4];
ry(-0.0022) q[5];
rz(0.7855) q[5];
ry(1.0937) q[6];
rz(-0.0028) q[6];
ry(0.0044) 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": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [5, 24], "expectation_value": -0.2325169686227534, "params": [[-0.0811], [0.07300000000000001]], "bitstrings": ["11010", "00111"], "total_optimization_steps": 10, "probabilities": [0.03541820396969954, 0.03541820396969955], "optimization_time": 1.0614802837371826} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0811) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0811) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0811) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0811) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0811) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 12], "expectation_value": -2.4551628339052805, "params": null, "bitstrings": ["110110", "110011"], "total_optimization_steps": 18, "probabilities": [0.05733133303541498, 0.9026320751736394], "optimization_time": 11.848971366882324} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.0342) q[2];
cry(-0.9353) q[3], q[5];
ry(0.712) q[3];
cry(-0.5281) q[2], q[5];
cry(0.5097) q[2], q[3];
cry(0.3892) q[3], q[2];
ry(-0.3871) q[5];
cry(-0.11... | 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... |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -1.6435526977213277, "params": [[0.1715], [-0.16090000000000002]], "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 20, "probabilities": [0.014826514138349522, 0.014826514138349524], "optimization_time": 1.7135374546051025} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"]} | 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(0.1715) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1715) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1715) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1715) q[3];
cx q[0], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
9fd2b9433a66405e1d6eb93b4b7e823c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [366, 364], "expectation_value": -77.76238706549331, "params": [0.46640000000000004, 0.6985, 1.4043, 0.2969, 0.2225, 0.7753, 1.3965, 0.0005, 1.3994, 0.3658, 0.3886, 0.6725, 0.9988, -0.2235, 1.403, -0.1545, 0.7842, -0.3509, 0.0027, 1.0361, 0.4637, 0.0013000000000000002, 1.4007, 0.0091, 0.2283, 0.0004, 1.40370... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 10.0 * Z(1) + 9.5 * Z(3) + 0.5 * Z(2) + 6.5 * Z(4) + 3.0 * Z(5) + 11.5 * Z(8) + 17.0 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["1010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4664) q[0];
rz(0.6985) q[0];
rx(1.4043) q[1];
rz(0.2969) q[1];
rx(0.2225) q[2];
rz(0.7753) q[2];
rx(1.3965) q[3];
rz(0.0005) q[3];
rx(1.3994) q[4];
rz(0.3658) q[4];
rx(0.3886) q[5];
rz(0.6725) q[5];
rx(0.9988) q[6];
rz(-0.2235) q[6];
rx(1.403) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
887595949ae6925e33a681a58519a274 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [14906, 15674], "expectation_value": -46.20580564505556, "params": null, "bitstrings": ["1100010111000101", "1100001011000101"], "total_optimization_steps": 100, "probabilities": [0.0602435952029731, 0.5076907154990158], "optimization_time": 1008.6964573860168} | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 1 | 16 | 3 | {"smallest_eigenvalues": [-48.74999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.749999999999304, "smallest_bitstrings": ["1100001011000101"]} | 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(26.9543) q[12];
ry(3.3651) q[11];
ry(-6.0628) q[3];
cry(4.7866) q[12], q[3];
cry(-56.9236) q[12], q[11];
cry(0.6627) q[6]... | null | {"source": 0, "sink": 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(26.9543) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc... |
15981867526b451292338ffade4ee93e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [2717, 2709], "expectation_value": -0.36644649013883107, "params": [0.7092, -0.0148, 0.7054, 0.0001, 0.6987, -0.0927, 0.4985, 0.0088, 0.7055, -0.0184, 0.7025, 0.0002, 0.6980000000000001, 0.1206, 0.4918, 0.0048000000000000004, 0.7088, -0.016900000000000002, 0.7086, 0.0022, 0.7017, 0.0942, 0.49250000000000005,... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.0012755102040816328 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.0012755102040816328 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 6 | 12 | 1 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7092) q[0];
rz(-0.0148) q[0];
rx(0.6987) q[1];
rz(-0.0927) q[1];
rx(0.7055) q[2];
rz(-0.0184) q[2];
rx(0.698) q[3];
rz(0.1206) q[3];
rx(0.7088) q[4];
rz(-0.0169) q[4];
rx(0.7017) q[5];
rz(0.0942) q[5];
rx(0.7049) q[6];
rz(0.0858) q[6];
rx(0.7102) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 21.350857257843018} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(1.068) q[5];
ry(1.5708) q[3];
cry(1.5707) q[3], q[1];
cry(-0.3714) q[3], q[0];
cry(0.3292) q[1], q[5];
cry(-0.2768) q[1], q[0];
cry(0.1166) q[3], q[5];
ry(-0.0924) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
86d59c6096ff3db0c9f906cf39a44678 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [115, 114], "expectation_value": -2.6023551390525923, "params": [0.0029000000000000002, -0.0005, 0.2992, 0.304, 0.3058, 0.29760000000000003, 0.2962, 0.2942, 0.0204, 0.0146, 0.0223, 0.0227, 0.2716, 0.2773, 0.18330000000000002, 0.1754, -0.0006000000000000001, -0.0031000000000000003, 0.3068, 0.3039, 0.307, 0.30... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 13 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["10001101", "10001110", "10011100", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0029) q[0];
ry(0.2992) q[1];
ry(0.3058) q[2];
ry(0.2962) q[3];
ry(0.0204) q[4];
ry(0.0223) q[5];
ry(0.2716) q[6];
ry(0.1833) q[7];
crz(-0.103) q[7], q[0];
crz(0.1017) q[6], q[7];
crz(0.0968) q[5], q[6];
crz(-0.154) q[4], q[5];
crz(-0.1031) q[3], q[4];
crz... | 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": []} |
6e27c825b578bdc34d46b278685ce298 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [41, 169], "expectation_value": -22.534363571257956, "params": [0.0025, 0.0025, 0.0025, 0.0026000000000000003, -0.7893, -0.7969, 0.0024000000000000002, 0.0025, 1.8274000000000001, 1.3189, 0.0026000000000000003, 0.0025, 3.088, 0.0579, -0.003, 0.003, 0.0025, 0.0025, 1.5668, 1.5702, -0.0019, 0.0023, 2.762, 0.00... | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0025) q[0];
ry(0.0025) q[1];
ry(-0.7893) q[2];
ry(0.0024) q[3];
ry(1.8274) q[4];
ry(0.0026) q[5];
ry(3.088) q[6];
ry(-0.003) q[7];
ry(0.0025) q[8];
ry(1.5668) q[9];
crz(-0.0019) q[9], q[0];
crz(2.9086) q[8], q[9];
crz(2.2105) q[7], q[8];
crz(-0.8407) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-2351673500928675772 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 5], [0, 1, 5, 6, 7, 8], [0, 2, 4], [9, 2], [1, 2, 5], [0, 8, 4], [9, 3], [2, 4, 5], [0, 3, 6, 7], [0, 1, 2, 7, 8], [4, 5, 6], [8, 2, 5, 7], [8, 3, 5, 6], [9, 5], [9, 4, 6, 1], [8, 1, 2, 3], [0, 8, 3, 6], [8, 9, 1, 6]]} | {"states": [472, 984], "expectation_value": -3.4741796029697776, "params": [0.885, 0.8882, 1.487, 1.4868000000000001, 1.4803000000000002, 1.4802, 1.4945000000000002, 1.4917, 0.6765, 0.6821, 1.4922, 1.4863000000000002, 1.4939, 1.4954, 0.6643, 0.6565000000000001, 0.6762, 0.6822, 0.24980000000000002, 0.2577, 0.5544, 0.008... | 0.3 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.49999999999999994 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.19999999999999998 * (Z(... | 13 | 10 | 1 | {"smallest_eigenvalues": [-4.4], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.233333333333333, "smallest_bitstrings": ["0000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.885) q[0];
ry(1.487) q[1];
ry(1.4803) q[2];
ry(1.4945) q[3];
ry(0.6765) q[4];
ry(1.4922) q[5];
ry(1.4939) q[6];
ry(0.6643) q[7];
ry(0.6762) q[8];
ry(0.2498) q[9];
crz(0.5544) q[9], q[0];
crz(-0.5493) q[8], q[9];
crz(0.4715) q[7], q[8];
crz(0.0059) 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": []} |
1e277e87feb79246d4c3112af02a6a4a | 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": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [190, 188], "expectation_value": -14.47131408491939, "params": [[-0.026500000000000003], [0.0796]], "bitstrings": ["101000001", "101000011"], "total_optimization_steps": 10, "probabilities": [0.0036842080120226693, 0.004343033148470639], "optimization_time": 2.198709011077881} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "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(-0.2385) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2385) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.2385) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.2385) q[4];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
66e9b756f9d2625f3d527544d827d6f4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [1766, 1782], "expectation_value": -3.3543615664669733, "params": [[[0.6157, 0.005], [2.7938, 0.0056], [2.1117, 0.007], [0.0021000000000000003, 0.009600000000000001], [2.8098, 0.0082], [2.8047, 0.0049], [2.7945, 0.0061], [1.6442, 0.0082], [0.0771, 0.0015], [2.8063000000000002, 0.0074], [2.5591, 0.00870000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.625, "smallest_bitstrings": ["010100010010", "001100011000", "100100001001", "100100000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6157) q[0];
rz(0.005) q[0];
rx(2.7938) q[1];
rz(0.0056) q[1];
rx(2.1117) q[2];
rz(0.007) q[2];
rx(0.0021) q[3];
rz(0.0096) q[3];
rx(2.8098) q[4];
rz(0.0082) q[4];
rx(2.8047) q[5];
rz(0.0049) q[5];
rx(2.7945) q[6];
rz(0.0061) q[6];
rx(1.6442) 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": []} |
585598d6a9939de47d93b2cc0d1e20b3 | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [69, 165], "expectation_value": -3.2922115754917063, "params": [[0.4943, 0.6916, 0.6476000000000001, 0.6998000000000001, 0.0849, -0.011600000000000001, 0.6995, 0.1821, 0.7071000000000001], [0.4872, 0.7004, 0.678, 0.6995, 0.0916, 0.0028, 0.7037, 0.249, 0.6996], [0.5823, 0.6974, 0.49160000000000004, 0.6965, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(7) + 0.... | 10 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011010", "110101010", "100111100", "010111100", "110101100", "010111010", "100111010", "111000011", "111001010", "101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4943) q[0];
ry(0.6916) q[1];
ry(0.6476) q[2];
ry(0.6998) q[3];
ry(0.0849) q[4];
ry(-0.0116) q[5];
ry(0.6995) q[6];
ry(0.1821) q[7];
ry(0.7071) 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];
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": []} |
d2e3f71e5c020057da0dd1812bdf6517 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 15, "source": 1, "targe... | {"states": [31, 30], "expectation_value": -9.853982393877839, "params": [[-0.027200000000000002, -0.008700000000000001, 0.0206, 0.0635], [0.037000000000000005, 0.022600000000000002, -0.0071, -0.0402]], "bitstrings": ["100000", "100001"], "total_optimization_steps": 10, "probabilities": [0.023980296476372998, 0.02873211... | 2.5 * (Z(0) @ Z(1)) + 2.5 * (Z(2) @ Z(1)) + 2.5 * (Z(2) @ Z(0)) + 2.5 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + 13.0 * Z(1) + 8.5 * Z(0) + 14.0 * Z(2) + 12.5 * Z(3) + 1... | 1 | 6 | 4 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.0, "smallest_bitstrings": ["100001"]} | 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(-0.136) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.136) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.136) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.136... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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\": 4}"} | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 152.57957005500793} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[3];
ry(22.4081) q[2];
ry(-16.7951) q[6];
ry(-0.703) q[1];
cry(-50.9499) q[3], q[2];
cry(6.8919) q[6], q[2];
ry(18.2395) q[0];
cry(-40.388) q[3], q[1];
cry(-43.5144) q[6], q[1];
ry(-0.... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-967126649071182889 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 4], [0, 1, 4, 5], [0, 3, 5], [1, 3, 5], [2, 4]]} | {"states": [13, 7], "expectation_value": -1.5867550767201353, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 27, "probabilities": [0.04790755352653077, 0.87174455206046], "optimization_time": 26.691911935806274} | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665, -1.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111000", "000011"]} | 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(1.4449) q[3];
cry(-1.0342) q[4], q[2];
ry(0.9157) q[4];
ry(-0.6232) q[2];
cry(0.4569) q[3], q[4];
cry(-0.764) q[5], q[0];
cry(-0.3113) q[3], q[2];
ry(0.5693) q[5];
cry(-0.6197) q[4], q[0];
cry(0.5803) q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
4791868059087377862 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [0, 3, 7], [3, 4], [2, 5, 7], [8, 1, 5], [0, 1, 3, 6], [0, 2, 3, 5, 8], [8, 3, 5, 7], [0, 1, 3, 5], [0, 2, 6], [1, 2, 4], [5, 6], [8, 1, 4], [0, 8, 6], [4, 7]]} | {"states": [229, 231], "expectation_value": -0.09992914414925778, "params": [[0.0635], [-0.0487]], "bitstrings": ["100011010", "100011000"], "total_optimization_steps": 10, "probabilities": [0.0021018291478891115, 0.0021172142821010045], "optimization_time": 4.3979527950286865} | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.41666666666666663 * (Z(0) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.3833333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.21... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.199999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9499999999999997, "smallest_bitstrings": ["100011000"]} | 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[7], q[6];
rz(0.0635) q[6];
cx q[7], q[6];
cx q[7], q[0];
rz(0.0212) q[0];
cx q[7], q[0];
cx q[6], q[0];
rz(0.0529) q[0];
cx q[6], q[0];
cx q[7], q[3];
rz(0.0318) q[3];
cx q[7], 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
f1217ab2c32f717e7071c2839f17b1b9 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"sour... | {"states": [328, 336], "expectation_value": -6.377776305312699, "params": [[0.6973, 0.47540000000000004, 0.7007, -0.007200000000000001, 0.6948000000000001, 0.7007, 0.039900000000000005, -0.0066, -0.0245], [0.7024, 0.4803, 0.7012, -0.0068000000000000005, 0.6997, 0.6990000000000001, 0.08310000000000001, 0.0142, 0.0164], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -6.0, "smallest_bitstrings": ["010110111", "011101011", "011011011", "100111101", "101110110", "011111010", "100110111", "010011111", "011110110", "100101111", "0101... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6973) q[0];
ry(0.4754) q[1];
ry(0.7007) q[2];
ry(-0.0072) q[3];
ry(0.6948) q[4];
ry(0.7007) q[5];
ry(0.0399) q[6];
ry(-0.0066) q[7];
ry(-0.0245) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8307422020024253893 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [1, 4], [1, 6], [0, 7], [1, 2], [5, 6], [2, 3], [2, 7], [2, 4], [4, 6], [0, 6], [3, 4], [1, 7], [0, 5], [2, 5], [4, 7], [0, 3], [2, 6], [0, 4]]} | {"states": [93, 92], "expectation_value": -2.983541227138496, "params": null, "bitstrings": ["10100010", "10100011"], "total_optimization_steps": 76, "probabilities": [0.22179848393089066, 0.5063347659385478], "optimization_time": 143.6985321044922} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 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": ["10100010", "11101000", "10101010", "11110000", "11100010", "11100000", "10101000", "01010111", "01010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[4], q[6];
cry(-1.0342) q[2], q[7];
ry(1.0293) q[4];
cry(-0.8214) q[5], q[6];
cry(1.1655) q[4], q[5];
cry(-1.2654) q[3], q[0];
cry(-0.9189) q[3], q[2];
ry(0.7182) q[3];
ry(1.2306) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[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] = me... |
4927216451305005570 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 4, 5, 7, 8, 9, 10], [1, 2, 3, 7, 9, 10], [1, 6, 7, 9, 10], [0, 2, 3, 4, 7, 8, 9, 10], [8, 10, 5, 6], [1, 3, 4, 6, 8], [1, 2, 3, 5, 8, 10], [0, 3, 4, 5, 7, 8], [1, 2, 3, 6, 8, 10], [1, 2, 3, 5, 7, 10], [0, 10, 4, 6]]} | {"states": [506, 507], "expectation_value": -1.5378118693530378, "params": [0.9922000000000001, 0.0036000000000000003, 0.9926, 0.004, 0.999, -0.00030000000000000003, 0.9957, 0.009300000000000001, 0.9986, 0.0017000000000000001, 0.9913000000000001, 0.0035, 0.9996, -0.0054, 0.9952000000000001, 0.004, 0.9915, -0.0042000000... | 0.013888888888888888 * (Z(0) @ Z(1)) + 0.1472222222222222 * (Z(2) @ Z(1)) + 0.031746031746031744 * (Z(2) @ Z(0)) + 0.06388888888888888 * (Z(4) @ Z(1)) + 0.14841269841269839 * (Z(4) @ Z(0)) + 0.031746031746031744 * (Z(4) @ Z(2)) + 0.08055555555555555 * (Z(5) @ Z(1)) + 0.04722222222222222 * (Z(5) @ Z(0)) + 0.080555555555... | 6 | 11 | 1 | {"smallest_eigenvalues": [-2.1785714285714284], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.178571428571428, "smallest_bitstrings": ["11000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9922) q[0];
rz(0.0036) q[0];
rx(0.999) q[1];
rz(-0.0003) q[1];
rx(0.9986) q[2];
rz(0.0017) q[2];
rx(0.9996) q[3];
rz(-0.0054) q[3];
rx(0.9915) q[4];
rz(-0.0042) q[4];
rx(1.0) q[5];
rz(0.0028) q[5];
rx(0.9907) q[6];
rz(0.0024) q[6];
rx(0.9906) 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": []} |
-6735336052943148923 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1], [0, 4, 5, 6], [2, 3, 5], [3, 5, 6, 7], [1, 2, 7], [2, 3, 4], [2, 4, 6, 7], [0, 2, 3], [0, 2, 4, 6]]} | {"states": [165, 173], "expectation_value": -0.041192973626510546, "params": [[0.0519], [-0.042800000000000005]], "bitstrings": ["01011010", "01010010"], "total_optimization_steps": 10, "probabilities": [0.00404557405906035, 0.004049490657192913], "optimization_time": 2.6612625122070312} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01010010"]} | 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(0.0519) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0173) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0086) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0086) q[5];
cx q[4], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-1637698175366698525 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 6], [2, 4], [0, 2, 6, 7], [3, 7], [1, 3, 6], [8, 2, 3], [8, 0, 3, 5], [0, 4, 6], [8, 4], [1, 2], [8, 6], [1, 4, 5, 7], [3, 4, 6]]} | {"states": [444, 436], "expectation_value": -3.1549914647308936, "params": null, "bitstrings": ["001000011", "001001011"], "total_optimization_steps": 60, "probabilities": [0.15727033536616872, 0.6676552541361602], "optimization_time": 150.38195943832397} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["001001011", "110000011", "101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5486) q[3];
ry(1.3016) q[0];
cry(-1.2233) q[3], q[7];
cry(-1.086) q[6], q[8];
ry(1.3772) q[4];
cry(-1.334) q[1], q[2];
ry(0.9502) q[1];
cry(-0.6199) q[4], q[2];
cry(0.4526) q[3], q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5486) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
fd56f218638d977dedda8f316e8ac831 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [0, 2047], "expectation_value": -14.153933926179565, "params": [[[0.0014, 1.6051], [0.0021000000000000003, 0.0026000000000000003], [0.0016, 0.002], [0.0023, 0.0022], [-0.0033, 0.0017000000000000001], [0.0016, 0.0016], [0.0033, 0.0028], [-0.0022, -0.0027], [0.0025, 0.0024000000000000002], [0.0019, 0.002], [0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["00110000000", "00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0014) q[0];
ry(0.0021) q[1];
ry(0.0016) q[2];
ry(0.0023) q[3];
ry(-0.0033) q[4];
ry(0.0016) q[5];
ry(0.0033) q[6];
ry(-0.0022) q[7];
ry(0.0025) q[8];
ry(0.0019) q[9];
ry(0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 9} | {"circuits": [], "gradients": []} |
ac36c5a153720f2afd43ce774542e80a | min_cut | adaptive_vqe | {"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": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 38.25275206565857} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "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];
ry(1.5708) q[4];
cry(1.5708) q[3], q[1];
cry(1.5708) q[1], q[5];
cry(-1.5708) q[5], q[0];
ry(1.5486) q[2];
cry(0.7984) q[5], q[3];
ry(-0.1772) q[1];
cry(-0.0403) q[4], q[1];
cry(-0.0037) q[2], q[1];
cry(0.2525) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
047a6db213ec2347412434e39dcab446 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [250, 249], "expectation_value": -9.068318980557184, "params": null, "bitstrings": ["11100000101", "11100000110"], "total_optimization_steps": 100, "probabilities": [0.12394866297169427, 0.7185965718646129], "optimization_time": 326.7501835823059} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 4 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(1.5708) q[4];
ry(1.5708) q[3];
cry(-1.5681) q[4], q[1];
cry(-1.5592) q[4], q[0];
cry(-1.5486) q[10], q[9];
cry(1.3016) q[2], q[7];
cry(1.0057) q[7], q[10];
ry(1.4223)... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
44db6493095286b918fb0c5bac33de1d | 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": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -22.17851936331925, "params": [[0.038700000000000005, 0.0044, -0.0082], [-0.0867, -0.0567, -0.037000000000000005]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.014967979598991642, 0.01617040827399903], "optimization_time": 5.814... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(0.3483) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.3483) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.3483) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.3483) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [8, 9], "expectation_value": -4.170587261476979, "params": [[[0.0033, 0.006200000000000001], [2.648, 0.003], [0.0025, 0.0027], [0.0032, 0.0081], [1.5997000000000001, 0.0039000000000000003]]], "bitstrings": ["10111", "10110"], "total_optimization_steps": 300, "probabilities": [0.4565504199342679, 0.4837665993... | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0033) q[0];
rz(0.0062) q[0];
rx(2.648) q[1];
rz(0.003) q[1];
rx(0.0025) q[2];
rz(0.0027) q[2];
rx(0.0032) q[3];
rz(0.0081) q[3];
rx(1.5997) q[4];
rz(0.0039) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = m... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -2.408830492592985, "params": [[0.046900000000000004, 0.0674, 0.0637, 0.0722], [-0.0029000000000000002, -0.0494, -0.0541, -0.0565]], "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 10, "probabilities": [0.023850966696917105, 0.024043118513079394], "optimization... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"]} | 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(-0.0704) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0469) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0704) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0469) q[2];
cx q[1], q[2];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9e7016c164f10697b0206c1127149a76 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -10.836581849844809, "params": [[[0.5019, 0.0045000000000000005], [0.5004000000000001, 0.0044], [0.5316000000000001, 0.0036000000000000003], [0.5179, 0.006900000000000001], [1.6077000000000001, 0.0092], [1.5974000000000002, 0.0057]]], "bitstrings": ["111101", "111100"], "total_op... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (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(0.5019) q[0];
rz(0.0045) q[0];
rx(0.5004) q[1];
rz(0.0044) q[1];
rx(0.5316) q[2];
rz(0.0036) q[2];
rx(0.5179) q[3];
rz(0.0069) q[3];
rx(1.6077) q[4];
rz(0.0092) q[4];
rx(1.5974) q[5];
rz(0.0057) 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] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 4} | {"circuits": [], "gradients": []} |
4b4012bb2199081c7fb15cba5e2741d0 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [81, 113], "expectation_value": -6.041270212312601, "params": [0.0022, 0.0022, 0.0028, 0.0028, 1.5745, 1.5732000000000002, -0.8265, -0.8272, 1.5695000000000001, 1.5659, -0.0018000000000000002, -0.0018000000000000002, -0.0018000000000000002, -0.0018000000000000002, -0.0023, -0.0024000000000000002, 1.5727, 1.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) ... | 13 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0022) q[0];
ry(0.0028) q[1];
ry(1.5745) q[2];
ry(-0.8265) q[3];
ry(1.5695) q[4];
ry(-0.0018) q[5];
ry(-0.0018) q[6];
ry(-0.0023) q[7];
ry(1.5727) q[8];
crz(-0.0025) q[8], q[0];
crz(1.033) q[7], q[8];
crz(-1.0174) q[6], q[7];
crz(-1.2336) q[5], q[6];
crz(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": []} |
6966027394882854856 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 4], [2, 3, 4], [0, 2, 3]]} | {"states": [21, 19], "expectation_value": -0.016265086981757458, "params": [[0.064], [-0.059300000000000005]], "bitstrings": ["01010", "01100"], "total_optimization_steps": 10, "probabilities": [0.03196311959080018, 0.031963119590800185], "optimization_time": 1.198028564453125} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["01010", "01100"]} | 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(0.0213) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0213) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0213) q[4];
cx q[0], q[4];
cx q[0], q[2];
rz(0.0213) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.0213) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} |
78fa1de4f4a21ed4fe88b300377e8f4a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [58, 57], "expectation_value": -4.999883762767255, "params": null, "bitstrings": ["1000101", "1000110"], "total_optimization_steps": 31, "probabilities": [1.6414156562294317e-05, 0.9999151816608713], "optimization_time": 24.014644622802734} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[5];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[6];
cry(0.118... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"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, "target": 2}, ... | {"states": [17, 3], "expectation_value": -13.089751676607225, "params": [[0.0322, -0.049600000000000005, -0.0494], [-0.0563, 0.042800000000000005, 0.0621]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01480664140091227, 0.015538542846686956], "optimization_time": 7.23258543... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 10 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | 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(0.1771) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1771) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1771) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1771) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} |
a435ed87959c524c02450ceb678b1b46 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [338, 370], "expectation_value": -6.361770797189037, "params": [[0.2426, 1.5917000000000001, 0.0018000000000000002, 1.5809, 0.032600000000000004, 1.5873000000000002, 0.0035, 0.19410000000000002, 1.5951000000000002, 0.0026000000000000003], [0.5723, 1.5815000000000001, 0.0033, 1.5884, 1.6053000000000002, 1.579... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(3) @ Z(9)) + -2.0 * Z(2) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110000011", "1010001101", "0110001011", "0010001111", "1110000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2426) q[0];
ry(1.5917) q[1];
ry(0.0018) q[2];
ry(1.5809) q[3];
ry(0.0326) q[4];
ry(1.5873) q[5];
ry(0.0035) q[6];
ry(0.1941) q[7];
ry(1.5951) q[8];
ry(0.0026) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -2.857910610128041, "params": [[0.0473, 0.0538, 0.0308], [-0.033, -0.045200000000000004, -0.0347]], "bitstrings": ["1011", "1110"], "total_optimization_steps": 10, "probabilities": [0.08944039999185947, 0.09339869403752152], "optimization_time": 3.4673550128936768} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 6 | 4 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.1656) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1656) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1656) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1892) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1656) q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 5.979349136352539} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5706) q[1];
ry(-1.5486) q[3];
ry(-1.5681) q[2];
cry(-1.4449) q[4], q[0];
ry(1.218) q[4];
ry(-0.7109) q[0];
cry(-0.0222) q[4], q[3];
cry(-0.0142) q[0], q[3];
cry(-0.0002) q[4], q[1];
cry(-0.0027) q[4], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
fca2293c2a9a83d1eeb5cc8ed6acc934 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [297, 425], "expectation_value": -3.269252008171981, "params": [1.5949, 1.5666, 0.8039000000000001, 0.7988000000000001, 0.34290000000000004, 0.1794, 1.5826, 1.5886, -0.0019, 0.008700000000000001, 1.5766, 1.5838, 0.0021000000000000003, 0.0022, 0.0031000000000000003, 0.0016, 1.5861, 1.5785, 1.5053, 0.002100000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(6) @ Z(3... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["001010110", "010001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5949) q[0];
ry(0.8039) q[1];
ry(0.3429) q[2];
ry(1.5826) q[3];
ry(-0.0019) q[4];
ry(1.5766) q[5];
ry(0.0021) q[6];
ry(0.0031) q[7];
ry(1.5861) q[8];
crx(1.5053) q[8], q[0];
crx(-0.7162) q[7], q[8];
crx(0.6544) q[6], q[7];
crx(0.0034) q[5], q[6];
crx(-0.51... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
2fde01ebb7d3cd1daf98d95b5f19909d | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [82, 114], "expectation_value": -3.253277344737659, "params": [[[0.0016, 0.5714, 0.0, 0.0057], [0.557, 0.0205, 0.5583, 0.0049], [-0.058800000000000005, -0.0606, 0.0091, -0.0594], [0.6828000000000001, -0.013900000000000001, 0.7107, 0.0063], [-0.0043, 0.2959, 0.0007, 0.2943], [0.0009000000000000001, -0.4889, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["10001101", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0016) q[0];
rz(0.5714) q[0];
ry(0.557) q[1];
rz(0.0205) q[1];
ry(-0.0588) q[2];
rz(-0.0606) q[2];
ry(0.6828) q[3];
rz(-0.0139) q[3];
ry(-0.0043) q[4];
rz(0.2959) q[4];
ry(0.0009) q[5];
rz(-0.4889) q[5];
ry(0.7906) q[6];
rz(0.0031) q[6];
ry(-0.0027) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dbbbc4d6019a7673182b353b82b6a083 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -17.812247706340102, "params": [-0.00030000000000000003, -0.0989, -0.0055000000000000005, -0.1395, 0.0012000000000000001, -0.1481, 0.007200000000000001, -0.1539, -0.0011, -0.1495, 0.004200000000000001, -0.1542, -0.0012000000000000001, -0.1313, 0.0064, -0.1542, 0.0007, -0.1545, 0.... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 5 | 9 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0003) q[0];
rz(-0.0989) q[0];
rx(0.0012) q[1];
rz(-0.1481) q[1];
rx(-0.0011) q[2];
rz(-0.1495) q[2];
rx(-0.0012) q[3];
rz(-0.1313) q[3];
rx(0.0007) q[4];
rz(-0.1545) q[4];
rx(0) q[5];
rz(-0.1367) q[5];
rx(-0.0012) q[6];
rz(-0.1433) q[6];
rx(-0.0039) 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": []} |
cbae2888a2307c1fd9ec70c3d45be2f8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [783, 779], "expectation_value": -123.1692472576288, "params": [-0.0049, 0.7644000000000001, 0.7212000000000001, 0.0784, 1.0132, -0.1723, 0.17880000000000001, -0.45330000000000004, 0.0098, -0.08020000000000001, -0.0008, 0.5519000000000001, 0.046200000000000005, 0.1589, 0.6104, -0.18730000000000002, 1.0924, -... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(10)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 10.5 * Z(3) + 15.0 * Z(2) + 14... | 4 | 11 | 3 | {"smallest_eigenvalues": [-131.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["10011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0049) q[0];
rz(0.7644) q[0];
rx(0.7212) q[1];
rz(0.0784) q[1];
rx(1.0132) q[2];
rz(-0.1723) q[2];
rx(0.1788) q[3];
rz(-0.4533) q[3];
rx(0.0098) q[4];
rz(-0.0802) q[4];
rx(-0.0008) q[5];
rz(0.5519) q[5];
rx(0.0462) q[6];
rz(0.1589) q[6];
rx(0.6104) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 28], "expectation_value": -0.2830263947349145, "params": [[0.069, 0.0729, 0.066], [-0.0526, -0.0663, -0.06420000000000001]], "bitstrings": ["011100", "100011"], "total_optimization_steps": 10, "probabilities": [0.022390665720597582, 0.0223906657205976], "optimization_time": 4.814487934112549} | 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 | 3 | {"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];
cx q[1], q[0];
rz(0.0345) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0345) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0345) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0345) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [150, 158], "expectation_value": -2.412342335751197, "params": [[[1.4476, -0.0019], [0.4998, -0.0056], [0.3936, -0.7421], [-0.0611, 1.3481], [1.5866, 1.0853000000000002], [0.0596, 1.1015000000000001], [-0.09140000000000001, 1.4247], [1.6051, 1.5434]], [[-0.054700000000000006, -0.019100000000000002], [0.2326,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100001", "10001010", "10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.4476) q[0];
ry(0.4998) q[1];
ry(0.3936) q[2];
ry(-0.0611) q[3];
ry(1.5866) q[4];
ry(0.0596) q[5];
ry(-0.0914) q[6];
ry(1.6051) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
18eb8b5fbd5fad80d0da5991d78bd67c | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target":... | {"states": [464, 465], "expectation_value": -5.566954378861107, "params": [0.37220000000000003, 0.321, 0.8091, 0.8065, 0.8065, 0.8104, 0.8034, 0.8026000000000001, 0.0025, 0.0032, 0.8091, 0.8068000000000001, 0.11750000000000001, 0.1053, 0.0039000000000000003, 0.0028, 0.0001, -0.0027, 0.7997000000000001, 0.7994, 0.5703, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0001111010", "1000101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3722) q[0];
ry(0.8091) q[1];
ry(0.8065) q[2];
ry(0.8034) q[3];
ry(0.0025) q[4];
ry(0.8091) q[5];
ry(0.1175) q[6];
ry(0.0039) q[7];
ry(0.0001) q[8];
ry(0.7997) q[9];
crx(0.5703) q[9], q[0];
crx(0.1202) q[8], q[9];
crx(0.0144) q[7], q[8];
crx(-0.5574) 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": []} |
3630d768aca94a02b5d8a435d9b624e0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [380, 372], "expectation_value": -101.79836982869686, "params": [0.4526, 0.642, 1.499, 0.35250000000000004, 0.1188, 0.7685000000000001, 1.4943, 0.0006000000000000001, 0.8984000000000001, 0.3582, 1.4972, 0.19390000000000002, 0.7775000000000001, 0.47390000000000004, 1.4934, 0.2947, 0.2752, 0.6146, -0.0027, 1.1... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.0, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4526) q[0];
rz(0.642) q[0];
rx(1.499) q[1];
rz(0.3525) q[1];
rx(0.1188) q[2];
rz(0.7685) q[2];
rx(1.4943) q[3];
rz(0.0006) q[3];
rx(0.8984) q[4];
rz(0.3582) q[4];
rx(1.4972) q[5];
rz(0.1939) q[5];
rx(0.7775) q[6];
rz(0.4739) q[6];
rx(1.4934) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -1.9100327306841438, "params": [[-0.0526, -0.049800000000000004, -0.051800000000000006, -0.0704], [0.06770000000000001, 0.0669, 0.0597, 0.06430000000000001]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.012614189177392087, 0.013568... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0526) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.0789) q[7];
cx q[0], q[7];
cx q[1], q[3];
rz(0.0526) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.1578) q[4];
cx q[1], q[4];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
940de36890226d1020993f3eb10ea2b9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [678, 167], "expectation_value": -80.55250686936562, "params": [[[1.5687, 1.1023], [-0.0176, 1.1045], [1.6062, 1.4903000000000002], [0.3125, 1.4937], [1.5666, 1.5690000000000002], [-1.5657, 1.5677], [-1.5678, 1.5682], [1.5692000000000002, 1.5679], [1.5671000000000002, 0.8048000000000001], [1.5658, 1.56710000... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(4)) + 22.0 * Z(2) + 8.5 * Z(0) + 8.0 * Z(1) + 16.5 * Z(4) + -7.0 * Z(5) + 15.0 * Z(7... | 15 | 10 | 1 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["1101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5687) q[0];
ry(-0.0176) q[1];
ry(1.6062) q[2];
ry(0.3125) q[3];
ry(1.5666) q[4];
ry(-1.5657) q[5];
ry(-1.5678) q[6];
ry(1.5692) q[7];
ry(1.5671) q[8];
ry(1.5658) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
24dd029d08c4f4c30bd0035bbc602db0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [21, 20], "expectation_value": -2.431477637623063, "params": [0.0033, 0.3758, 0.0006000000000000001, 0.33480000000000004, 0.6013000000000001, -0.0004, 0.003, 0.3879, 0.5522, 0.006900000000000001, -0.0018000000000000002, -0.2504, 0.513, -0.0233, 0.0021000000000000003, 0.42310000000000003, 0.0053, 0.4365, 0.60... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(2) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6... | 3 | 7 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1101110", "1101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.3758) q[0];
rx(0.0006) q[1];
rz(0.3348) q[1];
rx(0.6013) q[2];
rz(-0.0004) q[2];
rx(0.003) q[3];
rz(0.3879) q[3];
rx(0.5522) q[4];
rz(0.0069) q[4];
rx(-0.0018) q[5];
rz(-0.2504) q[5];
rx(0.513) q[6];
rz(-0.0233) q[6];
crz(0.0283) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2e2d4f9f898e25dc0af4d118044684c0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16326, 16382], "expectation_value": -18.097245199450345, "params": [-0.9289000000000001, -0.8606, 0.016800000000000002, -0.0135, 0.2944, -0.1673, 1.9487, 1.1523, 0.049, -0.056400000000000006, 1.0135, 0.9064000000000001, 0.07690000000000001, -0.0698, 0.46780000000000005, -0.4355, 0.9083, 0.8297, 0.0385, -0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) ... | 14 | 14 | 1 | {"smallest_eigenvalues": [-22.499999999999886], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.499999999999854, "smallest_bitstrings": ["00000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.9289) q[0];
ry(0.0168) q[1];
ry(0.2944) q[2];
ry(1.9487) q[3];
ry(0.049) q[4];
ry(1.0135) q[5];
ry(0.0769) q[6];
ry(0.4678) q[7];
ry(0.9083) q[8];
ry(0.0385) q[9];
ry(0.3364) q[10];
ry(1.9645) q[11];
ry(-0.0412) q[12];
ry(-0.8837) q[13];
crx(0.0141) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 14} | {"circuits": [], "gradients": []} |
7594894472019831339 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 5, 6, 8, 9, 11], [1, 2, 4, 6, 8, 10], [0, 1, 2, 3, 4, 5, 8, 9, 11], [1, 11, 5, 6], [3, 4, 5, 6, 7, 8], [10, 11], [0, 3, 4, 6, 7, 8, 11], [0, 2, 3, 4, 5, 6, 7, 9, 11], [1, 3, 4, 6, 8, 9], [0, 1, 4, 6, 8, 11]]} | {"states": [431, 447], "expectation_value": -2.1499616877464227, "params": [-0.0131, -0.0097, 0.2109, 0.16140000000000002, 0.0022, 0.0022, 1.5705, 1.5651000000000002, 1.5769, 1.5687, 0.0039000000000000003, -0.004, 1.5727, 1.5642, 0.7884, 0.7899, 1.5714000000000001, 1.5744, 1.572, 1.6105, 1.5907, 1.5566, 1.5684, 1.5666,... | 0.07539682539682539 * (Z(0) @ Z(5)) + 0.08492063492063492 * (Z(7) @ Z(5)) + 0.051587301587301584 * (Z(7) @ Z(0)) + 0.12817460317460316 * (Z(8) @ Z(5)) + 0.09484126984126984 * (Z(8) @ Z(0)) + 0.15436507936507937 * (Z(8) @ Z(7)) + 0.12817460317460316 * (Z(10) @ Z(5)) + 0.09484126984126984 * (Z(10) @ Z(0)) + 0.07103174603... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.230952380952382, -2.230952380952382], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.230952380952381, "smallest_bitstrings": ["111001000000", "111000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0131) q[0];
ry(0.2109) q[1];
ry(0.0022) q[2];
ry(1.5705) q[3];
ry(1.5769) q[4];
ry(0.0039) q[5];
ry(1.5727) q[6];
ry(0.7884) q[7];
ry(1.5714) q[8];
ry(1.572) q[9];
ry(1.5907) q[10];
ry(1.5684) q[11];
crz(-0.0081) q[11], q[0];
crz(0.0018) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
50ae2479d5601754158b9fc59193bb01 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 3}, {"weight": 17, "source": 1, "target": 5}, {... | {"states": [118, 117], "expectation_value": -18.219837354884795, "params": [[-0.034300000000000004, -0.011600000000000001, -0.012100000000000001, 0.0531], [0.059500000000000004, 0.0419, 0.047, -0.0026000000000000003]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.013189338... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10001010"]} | 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(-0.2744) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2744) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2744) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2744) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [148, 156], "expectation_value": -4.1831978845939375, "params": [[[0.7952, -0.004200000000000001, 0.0, 0.005200000000000001], [-0.0041, -0.5199, -0.005200000000000001, 0.0045000000000000005], [0.0057, 0.163, 0.0004, 0.1618], [0.6258, 0.0019, 0.6355000000000001, 0.006200000000000001], [-0.5523, 0.001300000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(7) + 0.0 * Z(5) | 12 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["00111010", "11010010", "11000011", "01110010", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7952) q[0];
rz(-0.0042) q[0];
ry(-0.0041) q[1];
rz(-0.5199) q[1];
ry(0.0057) q[2];
rz(0.163) q[2];
ry(0.6258) q[3];
rz(0.0019) q[3];
ry(-0.5523) q[4];
rz(0.0013) q[4];
ry(0.5368) q[5];
rz(-0.0174) q[5];
ry(0.004) q[6];
rz(-0.2321) q[6];
ry(0.0032) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [57, 51], "expectation_value": -4.99989899194261, "params": null, "bitstrings": ["1000110", "1001100"], "total_optimization_steps": 35, "probabilities": [1.6350062746436547e-05, 0.9999303727531189], "optimization_time": 27.670489072799683} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[5];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-4522857172153139928 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 5, 6, 8], [8, 3, 7], [2, 3, 4]]} | {"states": [105, 109], "expectation_value": -0.6311746119641033, "params": [[[1.1609, 0.0064], [1.2082000000000002, 0.0045000000000000005], [3.0209, 0.0092], [3.04, 0.0088], [1.1265, 0.0054], [3.0056000000000003, 0.0033], [1.6383, 0.0027], [1.1323, 0.0049], [2.9989000000000003, 0.0033]]], "bitstrings": ["110010110", "1... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.8666666666666668, -0.8666666666666668], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8666666666666666, "smallest_bitstrings": ["111000010", "110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1609) q[0];
rz(0.0064) q[0];
rx(1.2082) q[1];
rz(0.0045) q[1];
rx(3.0209) q[2];
rz(0.0092) q[2];
rx(3.04) q[3];
rz(0.0088) q[3];
rx(1.1265) q[4];
rz(0.0054) q[4];
rx(3.0056) q[5];
rz(0.0033) q[5];
rx(1.6383) q[6];
rz(0.0027) q[6];
rx(1.1323) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [31, 5], "expectation_value": -0.02248566603694238, "params": [[0.0176], [-0.0267]], "bitstrings": ["100000", "111010"], "total_optimization_steps": 10, "probabilities": [0.015889476666957173, 0.01588971705928069], "optimization_time": 1.876450777053833} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "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[2], q[0];
rz(-0.0264) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0352) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0264) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0264) q[4];
cx q[2], q[4];
cx q[5], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
0736b1161a5a600a3b5b1b2ae725bcb7 | 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": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [510, 255], "expectation_value": -1.429733492879224, "params": [[-0.0541, -0.0758], [0.06420000000000001, 0.068]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004652663221911424, 0.004778989588992904], "optimization_time": 4.630250692367554} | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(0.0811) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.1082) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.0271) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.0541) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [1, 5], "expectation_value": -5.273436712462732, "params": [[[-0.0028, 0.0036000000000000003], [0.0024000000000000002, 0.0044], [-0.0026000000000000003, 0.001], [-1.6181, 0.0016], [0.0025, 0.0025], [3.16, 0.0024000000000000002]]], "bitstrings": ["111110", "111010"], "total_optimization_steps": 320, "probabil... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0028) q[0];
rz(0.0036) q[0];
rx(0.0024) q[1];
rz(0.0044) q[1];
rx(-0.0026) q[2];
rz(0.001) q[2];
rx(-1.6181) q[3];
rz(0.0016) q[3];
rx(0.0025) q[4];
rz(0.0025) q[4];
rx(3.16) q[5];
rz(0.0024) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4743a42b98680c4f321c8f72a752812d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [446, 447], "expectation_value": -11.18192742744046, "params": [[[0.8545, 0.0008, 0.0061, 0.007200000000000001], [0.2295, -0.0054, 0.8556, 0.0092], [-0.0028, -0.0039000000000000003, 0.0029000000000000002, 0.0018000000000000002], [0.5069, 0.0041, 0.503, 0.0054], [-0.0719, -0.0201, 0.0058000000000000005, -0.02... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 12 | 9 | 4 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8545) q[0];
rz(0.0008) q[0];
ry(0.2295) q[1];
rz(-0.0054) q[1];
ry(-0.0028) q[2];
rz(-0.0039) q[2];
ry(0.5069) q[3];
rz(0.0041) q[3];
ry(-0.0719) q[4];
rz(-0.0201) q[4];
ry(0.69) q[5];
rz(0.0042) q[5];
ry(-0.0024) q[6];
rz(-0.0213) q[6];
ry(-0.8741) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d56c975033dd057e743f83adc19a7c34 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [73, 75], "expectation_value": -2.6434828160401165, "params": [1.7123000000000002, 0.006200000000000001, 0.4857, 0.003, 0.2664, 0.0027, 1.7074, 0.0081, -0.0021000000000000003, 0.0039000000000000003, 1.6218000000000001, 0.0034000000000000002, 1.7099, 0.0037, 0.009600000000000001, 0.0014, 0.008700000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.7123) q[0];
rz(0.0062) q[0];
rx(0.4857) q[1];
rz(0.003) q[1];
rx(0.2664) q[2];
rz(0.0027) q[2];
rx(1.7074) q[3];
rz(0.0081) q[3];
rx(-0.0021) q[4];
rz(0.0039) q[4];
rx(1.6218) q[5];
rz(0.0034) q[5];
rx(1.7099) q[6];
rz(0.0037) q[6];
crz(0.0052) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 59.4803249835968} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.7848) q[5];
cry(-1.5708) q[2], q[4];
ry(0.683) q[2];
ry(-0.4007) q[0];
ry(-0.2882) q[1];
cry(0.409) q[5], q[3];
cry(-0.2393) q[5], q[0];
cry... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -1.042689257142598, "params": [[[0.001, 0.4571], [-0.0011, 0.0117], [0.8059000000000001, -0.0037]], [[0.0011, 0.0039000000000000003], [0.0066, 0.0034000000000000002], [0.8076, 0.0037]]], "bitstrings": ["111", "110"], "total_optimization_steps": 80, "probabilities": [0.47864470371... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.001) q[0];
rz(0.4571) q[0];
rx(-0.0011) q[1];
rz(0.0117) q[1];
rx(0.8059) q[2];
rz(-0.0037) q[2];
rx(0.0011) q[0];
rz(0.0039) q[0];
rx(0.0066) q[1];
rz(0.0034) q[1];
rx(0.8076) q[2];
rz(0.0037) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measur... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 110.15564203262329} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | 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[3];
cry(1.5708) q[3], q[8];
cry(1.4449) q[3], q[7];
cry(-1.568) q[3], q[0];
cry(-1.4464) q[6], q[5];
ry(1.4449) q[4];
cry(0.825) q[7], q[6];
cry(-0.5495) q[8], q[5];
ry(0.508)... | null | {"source": 0, "sink": 6} | {"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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
4555823087914865756 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 6, 7], [0, 1, 2, 3, 4], [0, 1, 2, 3, 5, 6], [3, 4, 5]]} | {"states": [181, 213], "expectation_value": -0.022613276191559357, "params": [[0.076], [-0.07060000000000001]], "bitstrings": ["01001010", "00101010"], "total_optimization_steps": 10, "probabilities": [0.004018545290899636, 0.00401854529089964], "optimization_time": 29.916072130203247} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9333333333333336, -0.9333333333333336, -0.9333333333333336], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9333333333333333, "smallest_bitstrings": ["00100101", "00101010", "01000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0203) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0405) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0152) q[4];
cx q[0], q[4];
cx q[3], q[6];
rz(0.0127) q[6];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
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