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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-65198099378423854 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [1, 4], [1, 5, 6], [0, 3, 5], [0, 1, 2, 6], [3, 6], [0, 4, 6]]} | {"states": [78, 71], "expectation_value": -2.0743811016477545, "params": null, "bitstrings": ["0110001", "0111000"], "total_optimization_steps": 42, "probabilities": [0.0710308788239815, 0.8212434536562365], "optimization_time": 57.60862994194031} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111000"]} | 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(1.4449) q[5];
ry(1.1439) q[0];
cry(-1.2133) q[6], q[3];
ry(0.8582) q[6];
ry(-0.5803) q[3];
cry(-1.1654) q[4], q[1];
cry(0.5255) q[5], q[6];
cry(-0.2904) q[5], q[3];
ry(0.5119) q[4];
cry(-0.4186) q[6], ... | 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(1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
64b81587301614454a8e204aef648a08 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 82.29208707809448} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5709) q[3];
cry(-1.5708) q[7], q[0];
ry(1.0958) q[7];
ry(1.5708) q[1];
ry(1.5708) q[2];
cry(-0.5613) q[2], q[0];
cry(0.3735) q[1], q[7];
cry(-0.1769) q[1], q[0];
cry(1.4449) q[2], q[5];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
d7d01055332214989e6d0d1158e981dc | 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": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 63], "expectation_value": -1.4357805111152948, "params": [[0.07440000000000001], [-0.07350000000000001]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011531809576684135, 0.012327100279281059], "optimization_time": 1.8994007110595703} | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0372) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.2604) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2232) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.1488) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.891106539551968, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 18.5494167804718} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
cry(-1.5708) q[5], q[0];
ry(1.0979) q[5];
ry(-0.2074) q[0];
cry(1.5574) q[5], q[1];
cry(-0.1484) q[1], q[0];
cry(-0.0982) q[1], q[5];
ry(-1.5486) q[4];
cry(0.3028) q[3], q[5];
ry(-1.2682) q[3];
... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-4843817210917714872 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 6], [8, 6], [2, 4, 7], [4, 5], [1, 3], [9, 4, 1], [0, 1, 5], [8, 9, 4], [9, 3, 4]]} | {"states": [930, 407], "expectation_value": -0.04635903221109354, "params": [[-0.050100000000000006], [0.056600000000000004]], "bitstrings": ["0001011101", "1001101000"], "total_optimization_steps": 10, "probabilities": [0.0010456882734068602, 0.001045798857418699], "optimization_time": 2.208645820617676} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.16... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["1001101000"]} | 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[6], q[1];
rz(-0.0501) q[1];
cx q[6], q[1];
cx q[6], q[8];
rz(-0.0501) q[8];
cx q[6], q[8];
cx q[1], q[4];
rz(-0.0167) q[4];
cx q[1], q[4];
cx q[8], q[4];
rz(-0.0167) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[8];
... | null | {"circuits": [], "gradients": []} |
-5202120641553055269 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [0, 7], [3, 5], [0, 6], [1, 7], [8, 5], [2, 4], [1, 4], [1, 2]]} | {"states": [433, 417], "expectation_value": -3.056012752159289, "params": null, "bitstrings": ["001001110", "001011110"], "total_optimization_steps": 72, "probabilities": [0.29602714569908245, 0.3900870616529527], "optimization_time": 319.95898175239563} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["001100111", "001011110", "110110001", "001110111", "001001110", "110001000", "110100001", "110011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[1], q[2];
cry(-1.0342) q[8], q[5];
cry(-1.0342) q[0], q[7];
ry(1.0293) q[1];
cry(1.0886) q[1], q[0];
cry(-0.9157) q[1], q[7];
cry(-0.8992) q[0], q[2];
cry(-1.3619) q[0], q[6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
039a561989d120098d9eb55f1cd543bf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [196, 228], "expectation_value": -3.206269697874495, "params": [[[0.8069000000000001, -0.0021000000000000003], [0.8057000000000001, -0.0022], [0.7989, -0.0036000000000000003], [0.0019, 0.5504], [0.0028, 0.6022000000000001], [0.81, 0.0029000000000000002], [0.0019, 0.5586], [0.0018000000000000002, 0.5976]], [[... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.125, "smallest_bitstrings": ["00011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8069) q[0];
rz(-0.0021) q[0];
rx(0.8057) q[1];
rz(-0.0022) q[1];
rx(0.7989) q[2];
rz(-0.0036) q[2];
rx(0.0019) q[3];
rz(0.5504) q[3];
rx(0.0028) q[4];
rz(0.6022) q[4];
rx(0.81) q[5];
rz(0.0029) q[5];
rx(0.0019) q[6];
rz(0.5586) q[6];
rx(0.0018) 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": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [437, 252], "expectation_value": -3.1496689355888234, "params": null, "bitstrings": ["001001010", "100000011"], "total_optimization_steps": 66, "probabilities": [0.07857011393965474, 0.6311201347026915], "optimization_time": 163.84185433387756} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"]} | 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(-1.5158) q[7];
ry(1.3013) q[6];
cry(-1.298) q[5], q[8];
ry(1.301) q[3];
ry(1.0322) q[1];
cry(-1.2368) q[2], q[0];
cry(0.5019) q[6], q[1];
ry(1.015) q[4];
cry(-0.5133) q[5], q[0];
cry(0.... | 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(-1.5158) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
1e9e9fd16803043bf14602f8d69de988 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [235, 511], "expectation_value": -8.642333326328046, "params": null, "bitstrings": ["1100010100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.0760126428046532, 0.509765788359238], "optimization_time": 230.85364985466003} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[3], q[8];
cry(1.5706) q[2], q[6];
ry(0.9553) q[3];
ry(1.0252) q[2];
ry(0.5059) q[8];
ry(0.4786) q[6];
cry(0.4991) q[8], q[3];
cry(1.5493) q[5], q[7];
cry(1.5682) q[... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [91, 59], "expectation_value": -4.556966577251281, "params": [[-0.0809, -0.1568, -0.3129, -0.3685], [0.4106, 0.2818, 0.1726, 0.1562]], "bitstrings": ["10100100", "11000100"], "total_optimization_steps": 50, "probabilities": [0.05533846756004911, 0.055338467560049134], "optimization_time": 7.622686147689819} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | 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[5];
rz(0.0809) q[5];
cx q[1], q[5];
cx q[1], q[2];
rz(-0.0809) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0809) q[2];
cx q[5], q[2];
cx q[1], q[6];
rz(0.1618) q[6];
cx q[1], q[6];
cx q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [115, 109], "expectation_value": -26.210446011763544, "params": null, "bitstrings": ["10001100", "10010010"], "total_optimization_steps": 100, "probabilities": [0.05170992486323557, 0.25272770625815333], "optimization_time": 161.54989862442017} | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[5];
ry(16.89) q[2];
ry(7.4007) q[1];
cry(-9.3515) q[1], q[5];
cry(4.1324) q[4], q[5];
ry(10.2167) q[3];
ry(3.4375) q[7];
ry(-1.6347) q[6];
cry(-56.9651) q[1], q[7];
cry(0.4107) q[4], ... | null | {"matching": "maximum", "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(34.778) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [3, 7], "expectation_value": -15.643353958120478, "params": [0.0083, 0.0037, -0.003, -1.3842, -0.0029000000000000002, 1.4137000000000002, 0.0038, -1.4071, -0.0024000000000000002, 1.4143000000000001, -0.7783, 1.9574, 2.5259, 0.0847, 1.4119000000000002, 0.007200000000000001, -0.0018000000000000002, 0.0094, 0.0... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 3 | 8 | 2 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0083) q[0];
rz(0.0037) q[0];
rx(-0.003) q[1];
rz(-1.3842) q[1];
rx(-0.0029) q[2];
rz(1.4137) q[2];
rx(0.0038) q[3];
rz(-1.4071) q[3];
rx(-0.0024) q[4];
rz(1.4143) q[4];
rx(-0.7783) q[5];
rz(1.9574) q[5];
rx(2.5259) q[6];
rz(0.0847) q[6];
rx(1.4119) 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": 7} | {"circuits": [], "gradients": []} |
b1983a1e4f06f774f7ec1ed4bb689b87 | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [18, 82], "expectation_value": -4.4337039562301035, "params": [0.3018, -0.0036000000000000003, 0.2985, 0.0018000000000000002, 0.2788, -0.026000000000000002, 0.2687, -0.0086, 0.3064, 0.0007, 0.3033, 0.0007, 0.28250000000000003, -0.019200000000000002, 0.2792, -0.009000000000000001, 0.033800000000000004, -0.130... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(6) + ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001101", "0101101", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3018) q[0];
rz(-0.0036) q[0];
rx(0.2788) q[1];
rz(-0.026) q[1];
rx(0.3064) q[2];
rz(0.0007) q[2];
rx(0.2825) q[3];
rz(-0.0192) q[3];
rx(0.0338) q[4];
rz(-0.1307) q[4];
rx(0.3062) q[5];
rz(-0.0003) q[5];
rx(0.1998) q[6];
rz(-0.0088) q[6];
crx(-0.18) q[6], ... | 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] 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 fl... | null | {"circuits": [], "gradients": []} |
6de3ca972134e3b2df718cabf76739a9 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 695], "expectation_value": -0.34712086120767593, "params": [[0.07540000000000001, 0.0796, 0.0748], [-0.0653, -0.0771, -0.0711]], "bitstrings": ["1001000010", "0101001000"], "total_optimization_steps": 10, "probabilities": [0.0020563510590327913, 0.002056351059032796], "optimization_time": 22.5353825092... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ 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(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"]} | 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(0.0377) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0377) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0377) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5837479114759974857 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 8], [8, 7], [1, 3]]} | {"states": [366, 382], "expectation_value": -0.4486253367989715, "params": [[-0.4329], [0.4052]], "bitstrings": ["010010001", "010000001"], "total_optimization_steps": 50, "probabilities": [0.004446826974594713, 0.004448292812420731], "optimization_time": 21.822036743164062} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.023809... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.1904761904761902, "smallest_bitstrings": ["110000010", "010001010", "010000110", "010000001", "01001001... | 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(-0.0206) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0206) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0206) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0206) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | null | {"circuits": [], "gradients": []} |
918d0720354f72593c99e149eea5ed01 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 70], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0011011", "0111001"], "total_optimization_steps": 27, "probabilities": [0.0663487102747117, 0.9303659638128935], "optimization_time": 23.075555562973022} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0343) q[5], q[1];
ry(0.7003) q[5];
ry(-0.4549) q[1];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
12ada348b9c11023d80d21b40d9fce6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.3909936071111548, "params": [[0.06430000000000001, 0.058300000000000005], [-0.0693, -0.0551]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.039692468321763597, 0.04188845056974559], "optimization_time": 1.944751262664795} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0643) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1286) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0322) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0643) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1286) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-694170090648081824 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 6], [8, 1, 2, 9], [8, 9, 3], [8, 0, 2, 7], [1, 5, 6, 7], [8, 3, 4], [8, 9, 2, 5], [4, 5, 6], [4, 7], [8, 1, 2, 3], [3, 6, 7], [0, 3, 4], [0, 9], [8, 9, 2, 7], [9, 4, 5]]} | {"states": [491, 489], "expectation_value": -3.6775938957832888, "params": [0.068, 0.045200000000000004, 1.5475, 1.5808, 1.4995, 1.5761, 1.6602000000000001, 1.4300000000000002, 1.3706, 1.6921000000000002, 0.5384, 0.5353, 1.6072000000000002, 1.5438, 0.2838, 0.2626, 1.484, 1.6174000000000002, 1.5818, 1.562, 0.0073, 1.686... | 0.5 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.41666666666666663 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.41666666666666663 * (Z(9) @ Z(8)) + 0.08333333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.249999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.083333333333333, "smallest_bitstrings": ["1000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.068) q[0];
ry(1.5475) q[1];
ry(1.4995) q[2];
ry(1.6602) q[3];
ry(1.3706) q[4];
ry(0.5384) q[5];
ry(1.6072) q[6];
ry(0.2838) q[7];
ry(1.484) q[8];
ry(1.5818) q[9];
crx(0.0073) q[9], q[0];
crx(0.0356) q[8], q[9];
crx(0.4902) q[7], q[8];
crx(0.0278) 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": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 21.066798448562622} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4384) q[3];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[3], q[1];
cry(0.1248) q[0], q[2];
cry(0.1244) q[2], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
a51181bafa7bcb3e3b3a50a4cac69c67 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [511, 507], "expectation_value": -1.8600886319204117, "params": [[-0.0743], [0.0723]], "bitstrings": ["000000000", "000000100"], "total_optimization_steps": 10, "probabilities": [0.003302147702466337, 0.0033736308220517776], "optimization_time": 0.6984026432037354} | -2.0 * (Z(0) @ Z(4)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(0.2972) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.4458) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.0743) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(-0.1486) q[2];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4],... | {"node": 6} | {"circuits": [], "gradients": []} |
-967126649071182889 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 4], [0, 1, 4, 5], [0, 3, 5], [1, 3, 5], [2, 4]]} | {"states": [7, 60], "expectation_value": -0.04555805569183302, "params": [[-0.0665], [0.0755]], "bitstrings": ["111000", "000011"], "total_optimization_steps": 10, "probabilities": [0.016518745624455093, 0.01651973671950383], "optimization_time": 2.243572950363159} | 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];
cx q[3], q[0];
rz(-0.0443) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0222) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0333) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0222) q[1];
cx q[3], q[1];
cx q[0], q[1];
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[3], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
0d2c56d1e7a2491e6ddf088c47e67819 | 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": [215, 199], "expectation_value": -66.87217044090077, "params": [1.1815, 0.0077, 2.5945, 0.0008, 2.5953, 0.0067, 0.0025, 0.004200000000000001, 1.5479, 0.0086, 0.7719, 0.0027, 2.5902000000000003, 0.0006000000000000001, 2.5938000000000003, 0.0026000000000000003, 2.5997000000000003, 0.0068000000000000005, 0.007,... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 21.0 * Z(2) + 24.0 * Z(1) + 3.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1815) q[0];
rz(0.0077) q[0];
rx(2.5945) q[1];
rz(0.0008) q[1];
rx(2.5953) q[2];
rz(0.0067) q[2];
rx(0.0025) q[3];
rz(0.0042) q[3];
rx(1.5479) q[4];
rz(0.0086) q[4];
rx(0.7719) q[5];
rz(0.0027) q[5];
rx(2.5902) q[6];
rz(0.0006) q[6];
rx(2.5938) 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, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
2c15deea3644dfbcf53b5ef31047e7a3 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [15, 143], "expectation_value": -3.5609537754562637, "params": [1.6008, 0.0108, -0.016900000000000002, -0.021400000000000002, 0.2802, -0.6358, 0.5762, 0.4838, 1.6028, 0.0035, 1.6031, -0.0037, 1.5976000000000001, -0.0036000000000000003, 1.6004, 0.006500000000000001, 1.5257, 0.0216, -0.10640000000000001, -0.23... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110000", "01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6008) q[0];
rz(0.0108) q[0];
rx(-0.0169) q[1];
rz(-0.0214) q[1];
rx(0.2802) q[2];
rz(-0.6358) q[2];
rx(0.5762) q[3];
rz(0.4838) q[3];
rx(1.6028) q[4];
rz(0.0035) q[4];
rx(1.6031) q[5];
rz(-0.0037) q[5];
rx(1.5976) q[6];
rz(-0.0036) q[6];
rx(1.6004) 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": []} |
ea9242dda1c3471ebfc27c5f32c22bc0 | 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": 5}, {"source": 1, "target": 2}, {"sour... | {"states": [80, 82], "expectation_value": -5.4761594521906, "params": [-0.0148, 0.0077, 0.0029000000000000002, 0.009000000000000001, 1.5992000000000002, 0.0033, -0.0074, 0.0048000000000000004, 1.6158000000000001, 0.003, -0.007200000000000001, 0.0033, 0.436, 0.0014, 1.5905, 0.0007, 1.5172, 0.004, 0.0031000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.0, "smallest_bitstrings": ["110111100", "011011110", "110100111", "011111010", "111000111", "111100011", "101101011", "110101101", "011111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0148) q[0];
rz(0.0077) q[0];
rx(0.0029) q[1];
rz(0.009) q[1];
rx(1.5992) q[2];
rz(0.0033) q[2];
rx(-0.0074) q[3];
rz(0.0048) q[3];
rx(1.6158) q[4];
rz(0.003) q[4];
rx(-0.0072) q[5];
rz(0.0033) q[5];
rx(0.436) q[6];
rz(0.0014) q[6];
rx(1.5905) 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": []} |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -8.822938422963917, "params": [-0.0013000000000000002, 0.2826, 0.0035, 0.29550000000000004, 0.0008, 0.3111, 0.003, 0.28650000000000003, -0.0008, 0.2776, 0.3052, -0.0297, 0.40090000000000003, 0.0067, -0.004, 0.28240000000000004, 0.0011, 0.3118, 0.0074, 0.23140000000000002, 0.00060... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0013) q[0];
rz(0.2826) q[0];
rx(0.0035) q[1];
rz(0.2955) q[1];
rx(0.0008) q[2];
rz(0.3111) q[2];
rx(0.003) q[3];
rz(0.2865) q[3];
rx(-0.0008) q[4];
rz(0.2776) q[4];
rx(0.3052) q[5];
rz(-0.0297) q[5];
rx(0.4009) q[6];
rz(0.0067) q[6];
crz(0.0043) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d73d59d8534bb2db64056b6b376ab049 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.23925605375179107, "params": [[0.0689], [-0.0757]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004967255362149027, 0.0050543548584938746], "optimization_time": 2.3415374755859375} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0689) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0345) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0345) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0345) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
db7bdfb6ee94a36848a9fd983ceba634 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 47.08993721008301} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[7], q[1];
ry(1.2027) q[7];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.5709) q[2];
ry(-1.5708) q[4];
ry(0.6315) q[1];
cry(-0.691) q[1], q[7];
cry(0.9006) q[6],... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2524, 3549], "expectation_value": -3.3670097244833395, "params": null, "bitstrings": ["011000100011", "001000100010"], "total_optimization_steps": 100, "probabilities": [0.06354121638124433, 0.6661658043842997], "optimization_time": 649.9334423542023} | 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)) + 0.0625 * (... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "001000010100", "010000100001", "000100101000", "001000100010", "100000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.3016) q[4];
cry(-1.1847) q[9], q[6];
ry(1.1799) q[7];
ry(1.0405) q[8];
ry(1.0292) q[0];
cry(-0.539) q[5], q[6];
ry(0.566) q[9];
cry(-0.8821) q[1], q[10];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.3016) 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];\... |
eea2f112f1aa4a00d6fffd09725db36f | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -21.564877790991083, "params": [-0.7101000000000001, 0.0031000000000000003, 0.7147, 0.006900000000000001, 0.0026000000000000003, 0.6028, 0.0024000000000000002, 0.007500000000000001, -0.2868, 0.0005, 0.2379, 0.0061, 0.8089000000000001, -0.003, 0.8055, 0.0059, -0.0027, 0.6036, -0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9... | 6 | 12 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.7101) q[0];
rz(0.0031) q[0];
rx(0.0026) q[1];
rz(0.6028) q[1];
rx(-0.2868) q[2];
rz(0.0005) q[2];
rx(0.8089) q[3];
rz(-0.003) q[3];
rx(-0.0027) q[4];
rz(0.6036) q[4];
rx(-0.2146) q[5];
rz(-0.0017) q[5];
rx(-0.2876) q[6];
rz(0.0026) q[6];
rx(0.0056) 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": 11} | {"circuits": [], "gradients": []} |
3a1b6a9bf7270007712b664c84a12e64 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [661, 669], "expectation_value": -3.550722787525513, "params": [[[0.7725000000000001, 0.008, 0.0023, 0.004], [0.0663, 0.1228, -0.1978, 0.0], [0.7891, -0.0055000000000000005, 0.0043, 0.00030000000000000003], [0.0043, 0.6112000000000001, 0.0037, 0.0086], [-0.0033, 0.3987, 0.0056, 0.39680000000000004], [0.5667,... | 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)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7... | 12 | 10 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1001100010", "0101100001", "0101100010", "0101100100", "0011100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7725) q[0];
rz(0.008) q[0];
ry(0.0663) q[1];
rz(0.1228) q[1];
ry(0.7891) q[2];
rz(-0.0055) q[2];
ry(0.0043) q[3];
rz(0.6112) q[3];
ry(-0.0033) q[4];
rz(0.3987) q[4];
ry(0.5667) q[5];
rz(-0.0073) q[5];
ry(-0.1992) q[6];
rz(-0.001) q[6];
ry(0.646) q[7];
r... | 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] x11;
in... | null | {"circuits": [], "gradients": []} |
9eb9dc99a104ec6d8109b7f7bb0a9069 | 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": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [175, 167], "expectation_value": -3.5250419936955795, "params": [0.09050000000000001, 0.07490000000000001, 0.6308, 0.6054, 0.9015000000000001, 0.8947, 0.0013000000000000002, -0.0049, 0.9057000000000001, 0.9076000000000001, -0.0071, -0.0035, 0.6613, 0.6315000000000001, 0.9062, 0.9029, 0.8983000000000001, 0.89... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + -1.5 * Z(3) + -1.0 * Z(0) + 0.0 * Z(4) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011101", "1001011100", "1101011000", "1011010100", "1111010000", "1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0905) q[0];
ry(0.6308) q[1];
ry(0.9015) q[2];
ry(0.0013) q[3];
ry(0.9057) q[4];
ry(-0.0071) q[5];
ry(0.6613) q[6];
ry(0.9062) q[7];
ry(0.8983) q[8];
ry(0.8997) q[9];
crx(0.2553) q[9], q[0];
crx(0.8864) q[8], q[9];
crx(0.8929) q[7], q[8];
crx(0.8894) 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": []} |
-1800473135719683091 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2, 3], [0, 1, 2], [0, 1, 4], [0, 1, 3]]} | {"states": [13, 23], "expectation_value": -0.053443184356721025, "params": [[0.079], [-0.0801]], "bitstrings": ["10010", "01000"], "total_optimization_steps": 10, "probabilities": [0.03256428047010706, 0.03283548271020342], "optimization_time": 1.5741896629333496} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.6666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["01000"]} | 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(0.0527) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0263) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0527) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(0.0263) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.079) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1... | null | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 41], "expectation_value": -0.7314750512122015, "params": [[-0.0618, -0.0609, -0.07150000000000001], [0.0668, 0.0627, 0.06760000000000001]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.023969849806035313, 0.02715903020645683], "optimization_time": 3.60104846954... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0618) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0618) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0618) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0618) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
825418ff93e1b4bfda956527f051c5c1 | 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": [286, 31], "expectation_value": -90.1742094455264, "params": [[[0.7108, -0.0035], [0.259, -0.0029000000000000002], [0.17950000000000002, 0.0099], [0.1153, 0.035500000000000004], [0.5812, 0.45230000000000004], [0.0762, 0.6195], [0.5408000000000001, 0.5304], [0.5831000000000001, 0.7773], [0.7375, 0.2776]], [[0... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 30.0 * Z(4) + 16.0 * Z(0) + 1.5 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7108) q[0];
ry(0.259) q[1];
ry(0.1795) q[2];
ry(0.1153) q[3];
ry(0.5812) q[4];
ry(0.0762) q[5];
ry(0.5408) q[6];
ry(0.5831) q[7];
ry(0.7375) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
1b85dbadf49d5e00f9e47be861e776c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1497, 2009], "expectation_value": -3.500992546807637, "params": [0.09860000000000001, 0.0942, 0.4999, 0.49770000000000003, 0.33890000000000003, 0.3428, 0.4934, 0.49770000000000003, 0.49000000000000005, 0.4879, 0.4726, 0.4728, 0.10350000000000001, 0.12380000000000001, 0.49770000000000003, 0.4949, 0.4888, 0.4... | 0.0625 * (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(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 3 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -3.0625, "smallest_bitstrings": ["000100100110", "001010100100", "001... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0986) q[0];
ry(0.4999) q[1];
ry(0.3389) q[2];
ry(0.4934) q[3];
ry(0.49) q[4];
ry(0.4726) q[5];
ry(0.1035) q[6];
ry(0.4977) q[7];
ry(0.4888) q[8];
ry(-0.0035) q[9];
ry(0.0202) q[10];
ry(0.4936) q[11];
crx(0.3093) q[11], q[0];
crx(-0.0813) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
98ff52dd3a46eb29e6baf499c47cc739 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28015, 28011], "expectation_value": -8.076224427716143, "params": [2.6634, 0.0022, 3.1385, 0.0013000000000000002, 0.9497000000000001, 0.0012000000000000001, 2.7224, 0.0097, 3.1398, 0.0041, 0.9272, 0.0064, 3.1384000000000003, 0.0099, 0.9544, 0.0078000000000000005, 3.1398, 0.0024000000000000002, 3.13990000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * ... | 16 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999977], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999925, "smallest_bitstrings": ["001001010010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(2.6634) q[0];
rz(0.0022) q[0];
rx(3.1385) q[1];
rz(0.0013) q[1];
rx(0.9497) q[2];
rz(0.0012) q[2];
rx(2.7224) q[3];
rz(0.0097) q[3];
rx(3.1398) q[4];
rz(0.0041) q[4];
rx(0.9272) q[5];
rz(0.0064) q[5];
rx(3.1384) q[6];
rz(0.0099) q[6];
rx(0.9544) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [250, 122], "expectation_value": -31.10825981323011, "params": [[-0.0367, -0.0014, 0.0117], [0.068, 0.07150000000000001, 0.0685]], "bitstrings": ["00000101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.015278094638170162, 0.017912905603621757], "optimization_time": 7.529843091964722} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2569) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2569) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2569) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2569) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.241636002210905, "params": [0.0037, 0.2549, 0.0029000000000000002, 0.3121, 0.0039000000000000003, 0.3033, 0.0017000000000000001, 0.30860000000000004, -0.0034000000000000002, -0.1763, 0.0015, 0.3133, 0.0039000000000000003, 0.31070000000000003, 0.40230000000000005, 0.0001, 0.00... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 3 | 8 | 4 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0037) q[0];
rz(0.2549) q[0];
rx(0.0029) q[1];
rz(0.3121) q[1];
rx(0.0039) q[2];
rz(0.3033) q[2];
rx(0.0017) q[3];
rz(0.3086) q[3];
rx(-0.0034) q[4];
rz(-0.1763) q[4];
rx(0.0015) q[5];
rz(0.3133) q[5];
rx(0.0039) q[6];
rz(0.3107) q[6];
rx(0.4023) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ea6f28b1d52734982303edc3e4a649bb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [175, 110], "expectation_value": -31.230651657150112, "params": [[-0.036000000000000004, -0.0085, 0.002, 0.0063], [0.07400000000000001, 0.07350000000000001, 0.0726, 0.0575]], "bitstrings": ["01010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.019660024148105533, 0.023096225300114015],... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.288) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.288) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.288) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.288) q[4];
cx q[1], q[4];
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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f8d4ddeda47a8e3bc151d4c5e3b58baa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [74, 78], "expectation_value": -6.533516575688916, "params": [[0.0019, 0.0008, 1.0565, -0.15410000000000001, 0.0034000000000000002, 1.3484, 0.5218, 1.341, -0.003], [0.0162, 0.0029000000000000002, 1.0493000000000001, 0.154, 0.003, 0.6746, 0.0002, 0.6454000000000001, 0.0027], [-0.011300000000000001, 0.0027, 1.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110110001", "110111000", "110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0019) q[0];
ry(0.0008) q[1];
ry(1.0565) q[2];
ry(-0.1541) q[3];
ry(0.0034) q[4];
ry(1.3484) q[5];
ry(0.5218) q[6];
ry(1.341) q[7];
ry(-0.003) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6677523700018337187 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 3, 4], [1, 4, 7], [5, 7], [0, 2, 5], [2, 4], [6, 7], [0, 6], [3, 4, 5], [1, 2], [3, 7], [4, 6]]} | {"states": [204, 201], "expectation_value": -4.090936547905579, "params": null, "bitstrings": ["00110011", "00110110"], "total_optimization_steps": 42, "probabilities": [0.062290956564048386, 0.8701778641979433], "optimization_time": 55.796804428100586} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[4];
cry(-1.4433) q[4], q[6];
ry(1.5284) q[0];
cry(-1.4432) q[4], q[2];
ry(1.441) q[1];
cry(-1.3579) q[7], q[5];
ry(1.1315) q[7];
cry(-0.6978) q[1], q[5];
cry(-1.3693) q[7], q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) 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[... |
878d094d83cd61d556f3c6e9e2f56136 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [55, 63], "expectation_value": -3.933776992239139, "params": [[-0.0708, -0.07400000000000001, -0.077], [0.07100000000000001, 0.0693, 0.0703]], "bitstrings": ["11001000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.01463615487878115, 0.01758914685461277], "optimization_time": 4.8820660114... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | 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(0.177) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1416) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(0.2124) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.0354) q[5];
cx q[1], q[5];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e06fbd7975593e33baf1cc32c256ff56 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [280, 281], "expectation_value": -6.838679078728229, "params": [[0.9989, -0.0322, -0.0172, -0.0511, 1.0044, 1.0029000000000001, -0.006200000000000001, 0.0058000000000000005, 0.9992000000000001], [0.38430000000000003, 0.0059, 0.0085, 0.006, 0.38270000000000004, 0.3805, 0.0026000000000000003, 0.0022, 0.3784], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["101110010", "011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9989) q[0];
ry(-0.0322) q[1];
ry(-0.0172) q[2];
ry(-0.0511) q[3];
ry(1.0044) q[4];
ry(1.0029) q[5];
ry(-0.0062) q[6];
ry(0.0058) q[7];
ry(0.9992) 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": []} |
8782754471923327957 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [0, 5], [1, 5], [2, 3, 6], [0, 3], [5, 6], [8, 4, 5, 7], [0, 1, 6, 7]]} | {"states": [107, 470], "expectation_value": -0.9949187117374705, "params": [[-0.38370000000000004], [0.37070000000000003]], "bitstrings": ["110010100", "000101001"], "total_optimization_steps": 40, "probabilities": [0.008994911252518046, 0.00923002041745909], "optimization_time": 4.331263780593872} | 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["000101001"]} | 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[8];
rz(-0.3837) q[8];
cx q[6], q[8];
cx q[6], q[0];
rz(-0.064) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(-0.3837) q[5];
cx q[6], q[5];
cx q[8], q[5];
rz(-0.064) q[5];
cx q[8], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[... | null | {"circuits": [], "gradients": []} |
68bfeae3c10812f726100b7e0c13b05c | 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": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [204, 460], "expectation_value": -4.991917802711692, "params": [[[1.6012000000000002, 0.6411, 0.006900000000000001, 0.0064], [0.3658, -0.6411, -0.14100000000000001, 0.0068000000000000005], [1.5786, 0.002, 1.5779, 0.0082], [-1.2364000000000002, -0.0019, 1.2449000000000001, 0.0014], [-0.0021000000000000003, -1... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(2) + -0.5 * Z(4) + -0.... | 11 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["000110011", "001100011", "011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.6012) q[0];
rz(0.6411) q[0];
ry(0.3658) q[1];
rz(-0.6411) q[1];
ry(1.5786) q[2];
rz(0.002) q[2];
ry(-1.2364) q[3];
rz(-0.0019) q[3];
ry(-0.0021) q[4];
rz(-1.1314) q[4];
ry(-0.0025) q[5];
rz(0.0865) q[5];
ry(1.5827) q[6];
rz(0.0032) q[6];
ry(-0.0032) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
6842c95d9f8f8e6ed9a30462c7d1331d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -8.169252866954816, "params": [[[-0.015700000000000002, -0.4882], [-0.0132, -0.0132], [0.0039000000000000003, 0.0018000000000000002], [-0.0018000000000000002, -0.0007], [-0.0014, -0.0008], [-0.0041, -0.001], [-0.0043, 0.0033], [-0.0013000000000000002, -0.0014], [-0.0025, -0.00... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 4 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0157) q[0];
ry(-0.0132) q[1];
ry(0.0039) q[2];
ry(-0.0018) q[3];
ry(-0.0014) q[4];
ry(-0.0041) q[5];
ry(-0.0043) q[6];
ry(-0.0013) q[7];
ry(-0.0025) q[8];
ry(-0.03) q[9];
ry(-0.023) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
2acd22bd348b4680ecd56b072a1a125c | 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": [1422, 1414], "expectation_value": -115.08396105853949, "params": [[[0.7934, -0.0034000000000000002, 0.0055000000000000005, 0.0026000000000000003], [0.0011, -0.1814, -0.023, 0.0056], [0.9525, 0.0023, 0.009300000000000001, 0.0034000000000000002], [-0.0536, 0.30760000000000004, 0.4434, 0.0056], [0.1883, 0.3557... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(9)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(8)) + 24.0 * Z(0) + 14.5 * Z(2) + 4.0 ... | 12 | 11 | 4 | {"smallest_eigenvalues": [-127.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["01001111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7934) q[0];
rz(-0.0034) q[0];
ry(0.0011) q[1];
rz(-0.1814) q[1];
ry(0.9525) q[2];
rz(0.0023) q[2];
ry(-0.0536) q[3];
rz(0.3076) q[3];
ry(0.1883) q[4];
rz(0.3557) q[4];
ry(0.0027) q[5];
rz(0.7397) q[5];
ry(-0.0018) q[6];
rz(0.6814) q[6];
ry(0.7584) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
75773d7d6561991ab8784207da99d561 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1314, 1330], "expectation_value": -130.50954893265913, "params": [[0.002, 0.6298, 0.0058000000000000005, 0.6273000000000001, 0.005, -0.19240000000000002, 0.9438000000000001, 0.2336, -0.0367, 0.0063, 0.6325000000000001, 0.0067], [0.0024000000000000002, 0.6276, 0.0018000000000000002, 0.6305000000000001, -0.01... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(8) @ Z(1)) + 8.5 * (Z(9) @ Z(6)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(11) @ Z(10)) + -4.5 * Z(2) + 18.0 * Z(1) + -3.5 * Z(4) + 1.0 * Z(3) + 8.5 * Z(7) + 16.0 * Z(6) + 4.0 * Z(5) + 3... | 10 | 12 | 4 | {"smallest_eigenvalues": [-136.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.0, "smallest_bitstrings": ["101011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.002) q[0];
ry(0.6298) q[1];
ry(0.0058) q[2];
ry(0.6273) q[3];
ry(0.005) q[4];
ry(-0.1924) q[5];
ry(0.9438) q[6];
ry(0.2336) q[7];
ry(-0.0367) q[8];
ry(0.0063) q[9];
ry(0.6325) q[10];
ry(0.0067) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [15287, 15283], "expectation_value": -6.477354339339769, "params": [1.0330000000000001, -0.2298, 1.0236, 0.003, 1.4728, 0.1389, 1.3862, 0.0036000000000000003, 1.4908000000000001, 0.10250000000000001, 1.4806000000000001, 0.0091, 1.4685000000000001, -0.061900000000000004, 1.1693, 0.001, 1.2621, 0.2563000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-7.999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999953, "smallest_bitstrings": ["100010001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.033) q[0];
rz(-0.2298) q[0];
rx(1.4728) q[1];
rz(0.1389) q[1];
rx(1.4908) q[2];
rz(0.1025) q[2];
rx(1.4685) q[3];
rz(-0.0619) q[3];
rx(1.2621) q[4];
rz(0.2563) q[4];
rx(1.4791) q[5];
rz(-0.0524) q[5];
rx(1.4792) q[6];
rz(0.1232) q[6];
rx(1.4151) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
e6d4bf8bab6d393f2c150724510f187b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -16.808375284907978, "params": [-0.0038, -0.34800000000000003, -0.0034000000000000002, 0.0033, 0.0022, -0.5852, 0.0022, 0.0063, 0.8057000000000001, 0.09280000000000001, 0.8043, 0.0061, 0.0021000000000000003, -0.5835, 0.0021000000000000003, 0.0076, 0.0026000000000000003, -0.5875... | -0.25 * (Z(0) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(10)) + -1.25 * (Z(8) @ Z(7)) + -2.75 * (Z(8) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(8)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0038) q[0];
rz(-0.348) q[0];
rx(0.0022) q[1];
rz(-0.5852) q[1];
rx(0.8057) q[2];
rz(0.0928) q[2];
rx(0.0021) q[3];
rz(-0.5835) q[3];
rx(0.0026) q[4];
rz(-0.5875) q[4];
rx(0.0023) q[5];
rz(-0.5657) q[5];
rx(0.0023) q[6];
rz(-0.5694) q[6];
rx(0.0024) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -0.33401314267687937, "params": [[[0.6218, -0.1288], [0.7852, 0.0135], [0.7792, -0.009000000000000001], [0.8193, 0.016800000000000002], [0.8031, 0.018500000000000003], [0.7941, 0.016800000000000002]], [[0.6213000000000001, 0.0081], [0.7838, 0.0041], [0.7707, 0.007], [0.813800000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.6218) q[0];
rz(-0.1288) q[0];
rx(0.7852) q[1];
rz(0.0135) q[1];
rx(0.7792) q[2];
rz(-0.009) q[2];
rx(0.8193) q[3];
rz(0.0168) q[3];
rx(0.8031) q[4];
rz(0.0185) q[4];
rx(0.7941) q[5];
rz(0.0168) q[5];
rx(0.6213) q[0];
rz(0.0081) q[0];
rx(0.7838) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [1494, 3543], "expectation_value": -2.157752690666312, "params": [[[1.5731000000000002, -1.5616], [0.0035, 1.5846], [1.9461000000000002, 0.0008], [0.0016, -0.0048000000000000004], [0.0018000000000000002, -0.0016], [-0.8333, 0.8394], [1.5734000000000001, 1.5733000000000001], [1.5728, 1.5731000000000002], [1.5... | 0.0625 * (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(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5731) q[0];
ry(0.0035) q[1];
ry(1.9461) q[2];
ry(0.0016) q[3];
ry(0.0018) q[4];
ry(-0.8333) q[5];
ry(1.5734) q[6];
ry(1.5728) q[7];
ry(1.5728) q[8];
ry(1.5726) q[9];
ry(1.5684) q[10];
ry(1.5736) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ab38e7699e076f39debd51236acd2336 | min_cut | 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": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 31], "expectation_value": -2.8523748769537103, "params": [[0.0063, -0.019700000000000002, 0.787, 0.7887000000000001, 0.0034000000000000002, -0.0066], [-0.8852000000000001, 0.7879, 0.7377, 0.48950000000000005, 0.7892, 0.882], [-0.6561, -0.0664, 0.8112, 0.8978, 0.0152, 0.6626000000000001], [-0.85330000000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 9 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "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];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0063) q[0];
rx(-0.0197) q[1];
rx(0.787) q[2];
rx(0.7887) q[3];
rx(0.0034) q[4];
rx(-0.0066) q[5];
h q[0];
h q[1];
h q[2];
h q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
e33d6f1fc62bdc37a895a648cbf909d1 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.53688196271283, "params": [0.3195, 0.2937, 0.3518, 0.3849, 0.3242, 0.2641, 0.3448, 0.2924, 0.31070000000000003, 0.2629, 0.3317, 0.4334, -0.164, 0.37060000000000004, 0.038200000000000005, 0.5003000000000001, -0.10210000000000001, 0.3859, 0.047400000000000005, 0.5847, -0.042,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 6 | 7 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3195) q[0];
rz(0.2937) q[0];
rx(0.3242) q[1];
rz(0.2641) q[1];
rx(0.3107) q[2];
rz(0.2629) q[2];
rx(-0.164) q[3];
rz(0.3706) q[3];
rx(-0.1021) q[4];
rz(0.3859) q[4];
rx(-0.042) q[5];
rz(0.4096) q[5];
rx(-0.0255) q[6];
rz(0.5039) q[6];
crx(-0.0326) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
ca80a1081391714ec98f68c48872633f | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -0.27102647889732867, "params": [[-0.0794], [0.0791]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00974926008181197, 0.009772159770826516], "optimization_time": 1.578681468963623} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1111110", "1101010"]} | 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(0.0397) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0794) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.1191) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(0.0397) q[5];
cx q[2], q[5];
cx q[2], 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;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [65, 3], "expectation_value": -15.40122862016744, "params": [[0.0488, 0.015300000000000001, -0.013900000000000001], [-0.0763, -0.0568, -0.0349]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.019409452325080602, 0.020562288696159094], "optimization_time": 5.9340543... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 7 | 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(0.2684) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2684) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2684) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2684) 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": []} |
-1244719629617130374 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 4, 7], [1, 3, 4, 7], [0, 1, 6], [0, 3, 7], [1, 3, 6, 7], [0, 2, 5, 6], [1, 5, 6], [3, 4, 5, 6], [2, 4, 6], [0, 3, 5, 6], [0, 4, 6], [0, 3, 4, 5]]} | {"states": [220, 252], "expectation_value": -0.987295935314706, "params": [[0.18130000000000002], [-0.18460000000000001]], "bitstrings": ["00100011", "00000011"], "total_optimization_steps": 20, "probabilities": [0.006743656558920429, 0.006979999999439882], "optimization_time": 1.2795686721801758} | 0.5 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(0.1813) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(0.1209) q[0];
cx q[7], q[0];
cx q[5], q[0];
rz(0.0907) q[0];
cx q[5], q[0];
cx q[7], q[4];
rz(0.0907) q[4];
cx q[7], q[4];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
e69550c833474bf45ede93c29793364e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [116, 101], "expectation_value": -4.999130267260548, "params": null, "bitstrings": ["0001011", "0011010"], "total_optimization_steps": 34, "probabilities": [0.06552842103604349, 0.9338525494451715], "optimization_time": 40.195793867111206} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010", "0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(-1.0343) q[6], q[2];
ry(0.7003) q[6];
ry(-0.4549) q[2];
cry(0.4963) q[4], q[6];
cry(-0.3789) q[4], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
15981867526b451292338ffade4ee93e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [105, 60], "expectation_value": -0.24580917557378992, "params": [[0.0732, 0.0684], [-0.08320000000000001, -0.0779]], "bitstrings": ["0010110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.011384117584647968, 0.011386423127187696], "optimization_time": 2.8552231788635254} | 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(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0366) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0366) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0366) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0366) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-7278282895337951066 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5, 6], [0, 1, 5, 6], [0, 3, 6], [0, 1, 3, 4, 5], [1, 2, 5, 7], [1, 3, 7], [1, 2, 4, 5]]} | {"states": [181, 235], "expectation_value": -0.663319742010839, "params": [[0.2776], [-0.27340000000000003]], "bitstrings": ["01001010", "00010100"], "total_optimization_steps": 30, "probabilities": [0.007198969378984006, 0.007324402714172092], "optimization_time": 3.461050510406494} | 0.05 * (Z(2) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.1 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.216666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8166666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666669, "smallest_bitstrings": ["00010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(0.0278) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0555) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.074) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.0555) q[5];
cx q[3], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-4396407114571332043 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 6], [4, 5], [0, 1, 2], [2, 5], [2, 3, 4], [0, 1, 3], [4, 6], [1, 4], [0, 6, 7], [0, 5], [3, 6], [2, 6], [2, 7], [0, 3, 4]]} | {"states": [154, 184], "expectation_value": -4.499265006921033, "params": null, "bitstrings": ["01100101", "01000111"], "total_optimization_steps": 35, "probabilities": [0.00012962754195266162, 0.999697522915473], "optimization_time": 55.860753774642944} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(4) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333335, "smallest_bitstrings": ["01000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5592) q[0];
cry(-1.4449) q[0], q[5];
ry(1.5286) q[2];
cry(-1.4447) q[2], q[6];
ry(1.5679) q[4];
cry(-1.2314) q[2], q[7];
cry(1.2022) q[4], q[3];
cry(-1.2152) q[0], q[1];
cry(-0.126) q[4], q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5592) 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[... |
e543ef7ed69757cb61258022eb86ed78 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [40, 56], "expectation_value": -3.5621841191845682, "params": [-0.0012000000000000001, 0.1058, 0.0017000000000000001, 0.09770000000000001, 0.20400000000000001, -0.0429, 0.2061, 0.0046, 0.1958, -0.028900000000000002, 0.1943, -0.0039000000000000003, 0.20570000000000002, -0.038, 0.2015, 0.0016, 0.0041, 0.1068, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010101", "1010110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0012) q[0];
rz(0.1058) q[0];
rx(0.204) q[1];
rz(-0.0429) q[1];
rx(0.1958) q[2];
rz(-0.0289) q[2];
rx(0.2057) q[3];
rz(-0.038) q[3];
rx(0.0041) q[4];
rz(0.1068) q[4];
rx(0.0642) q[5];
rz(0.0971) q[5];
rx(0.071) q[6];
rz(0.0905) q[6];
crz(0.0067) 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] 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": []} |
69144809aea48cb46eae9c3950f24a15 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.4960403101269373, "params": null, "bitstrings": ["111", "101"], "total_optimization_steps": 6, "probabilities": [0.0039596610753226446, 0.9960403245258139], "optimization_time": 1.5055711269378662} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[0];
ry(-1.5681) q[2];
ry(1.4449) q[1];
cry(-0.0027) q[1], q[0];
cry(-0.0027) q[1], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nry(-1.5681)... |
03ff3a7533d396b93efc645d4aae3cbe | 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": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 183.60745286941528} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"]} | 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(-3.4097) q[1];
ry(8.4588) q[2];
cry(-44.3803) q[2], q[1];
ry(11.2785) q[6];
ry(23.9836) q[3];
ry(28.6737) q[0];
cry(-26.8794) q[8], q[1];
cry(26.4986) q[1], q[2];
cry(-7.7248) q[2], q[0... | 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(-3.4097) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
d2afe27b0de0de0693309013bd4cb7f6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [119, 115], "expectation_value": -53.03244333267444, "params": [0.2606, 0.2745, 0.7899, -0.008, 0.7897000000000001, -0.0045000000000000005, 0.7918000000000001, 0.029400000000000003, 0.16110000000000002, 0.321, 0.3809, 0.2011, 0.7863, -0.0067, 0.7876000000000001, 0.099, 0.2645, 0.27490000000000003, 0.78850000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 18 | 8 | 4 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2606) q[0];
rz(0.2745) q[0];
rx(0.7899) q[1];
rz(-0.008) q[1];
rx(0.7897) q[2];
rz(-0.0045) q[2];
rx(0.7918) q[3];
rz(0.0294) q[3];
rx(0.1611) q[4];
rz(0.321) q[4];
rx(0.3809) q[5];
rz(0.2011) q[5];
rx(0.7863) q[6];
rz(-0.0067) q[6];
rx(0.7876) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 48615], "expectation_value": -15.051407541890931, "params": [[-0.1952], [0.3541]], "bitstrings": ["0100000100101000", "0100001000011000"], "total_optimization_steps": 40, "probabilities": [0.0009473989566585737, 0.0009492979447158218], "optimization_time": 21.01061463356018} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0100001000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[2], q[0];
rz(-0.1952) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1952) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1952) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284814, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 105.54049563407898} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[3];
cry(1.5708) q[3], q[5];
cry(1.5708) q[5], q[4];
cry(1.5681) q[4], q[2];
cry(1.5706) q[5], q[1];
cry(1.4449) q[4], q[6];
cry(-1.0342) q[3], q[0];
cry(1.4138) q[5], q[7];
ry(-0.5046... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
42ee3ecbd8e478be8dde2a6b90e16871 | 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": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [510, 255], "expectation_value": -12.375453329519575, "params": [[[-0.0108, 0.00030000000000000003], [-0.0013000000000000002, 0.19090000000000001], [-0.001, -0.0039000000000000003], [0.0, 0.003], [0.0005, 0.0032], [-0.0026000000000000003, 0.0032], [-0.0008, 0.0033], [-1.3914, -0.0058000000000000005], [0.4940... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(3) @ ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0108) q[0];
ry(-0.0013) q[1];
ry(-0.001) q[2];
ry(0) q[3];
ry(0.0005) q[4];
ry(-0.0026) q[5];
ry(-0.0008) q[6];
ry(-1.3914) q[7];
ry(0.494) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
43f6f12625919298bc93daa468843deb | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3711, 4095], "expectation_value": -1.4490387627399661, "params": [[0.0753], [-0.0833]], "bitstrings": ["000110000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0005153357375673585, 0.0005153357375673588], "optimization_time": 2.2013118267059326} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["000110000000", "000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.2259) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2259) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2259) q[2];
cx q[0], q[2];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 4} | {"circuits": [], "gradients": []} |
36fc1c5be2c91695283e8185a1ebb45b | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [88, 409], "expectation_value": -0.050924165992061746, "params": [[-0.39980000000000004, 0.0025, 0.0061, 0.0028, 0.0025, -0.0058000000000000005, 0.002, 0.003, 0.0063], [0.0012000000000000001, 0.006900000000000001, 0.0027, 0.009600000000000001, 0.0039000000000000003, 0.0024000000000000002, -0.4623000000000000... | 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)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 *... | 9 | 9 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["100100110", "100101001", "100010110", "100010011", "010110001", "010101001", "010100110", "010100101", "001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.3998) q[0];
rx(0.0025) q[1];
rx(0.0061) q[2];
rx(0.0028) 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": []} |
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": [844, 828], "expectation_value": -2.1002549348502564, "params": [[[0.2159, -0.25680000000000003, 0.009300000000000001, 0.0025], [0.5924, -0.20700000000000002, 0.16720000000000002, -0.37320000000000003], [0.2442, 0.1859, -0.24680000000000002, 0.12000000000000001], [0.0471, 0.1333, 0.5587, -0.1433], [0.6954, -... | 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)) + ... | 11 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -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(0.2159) q[0];
rz(-0.2568) q[0];
ry(0.5924) q[1];
rz(-0.207) q[1];
ry(0.2442) q[2];
rz(0.1859) q[2];
ry(0.0471) q[3];
rz(0.1333) q[3];
ry(0.6954) q[4];
rz(-0.0339) q[4];
ry(0.417) q[5];
rz(0.1516) q[5];
ry(0.2981) q[6];
rz(-0.5361) q[6];
ry(0.8983) q[7];
r... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [3, 11], "expectation_value": -6.009503054026333, "params": null, "bitstrings": ["11111100", "11110100"], "total_optimization_steps": 28, "probabilities": [0.42570392794798445, 0.426398699446226], "optimization_time": 32.224907636642456} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.5681) q[7], q[0];
ry(1.111) q[7];
ry(1.5694) q[6];
ry(-1.5681) q[1];
cry(-0.5312) q[6], q[0];
cry(0.3393) q[6], q[7];
ry(-0.1901) q[0];
cry(-1.3736) q[6], q[3];
cry(-1.3714) q[7], q[5];
ry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
2192070859996138702 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 3], [2, 4], [0, 1], [1, 3]]} | {"states": [12, 19], "expectation_value": -0.05190845461516061, "params": [[-0.0699], [0.0757]], "bitstrings": ["10011", "01100"], "total_optimization_steps": 10, "probabilities": [0.03321343057359867, 0.03321343057359867], "optimization_time": 0.3719332218170166} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": 0.5, "smallest_bitstrings": ["01101", "00011", "10010", "11100", "10011", "10100", "01011", "01001", "01100", "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[4], q[0];
rz(-0.0699) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.0699) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(-0.0699) q[3];
cx q[2], q[3];
cx q[0], q[1];
rz(-0.0699) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.0699) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
2451283209240260955 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 5, 7], [0, 9, 3], [1, 3, 5], [0, 1], [2, 3, 4, 6, 10, 11], [1, 5, 8, 10, 11], [0, 8, 3, 5], [0, 2, 4, 6], [2, 3, 5, 6, 7], [1, 2, 4, 6, 7, 8]]} | {"states": [2539, 2547], "expectation_value": -2.394177940588642, "params": [1.5689000000000002, 1.5688, -0.0027, -0.0034000000000000002, 0.2592, -0.11380000000000001, 1.0426, 2.0931, 0.9689000000000001, 2.2184, 1.6478000000000002, 1.4569, 1.1933, 1.8927, 1.4182000000000001, 1.6952, 0.997, 2.1415, -0.003100000000000000... | 0.16666666666666666 * (Z(8) @ Z(3)) + 0.3833333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(8)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(8)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.583333333333334, -2.583333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5166666666666675, "smallest_bitstrings": ["010000101100", "011000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5689) q[0];
ry(-0.0027) q[1];
ry(0.2592) q[2];
ry(1.0426) q[3];
ry(0.9689) q[4];
ry(1.6478) q[5];
ry(1.1933) q[6];
ry(1.4182) q[7];
ry(0.997) q[8];
ry(-0.0031) q[9];
ry(1.1907) q[10];
ry(1.4663) q[11];
crx(1.0238) q[11], q[0];
crx(0.7419) 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": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [16, 24], "expectation_value": -2.037123874520794, "params": [[[0.4078, -0.0007], [0.4053, 0.00030000000000000003], [0.1257, 0.1411], [0.12430000000000001, 0.1293], [0.0038, 0.192]], [[0.4096, -0.0007], [0.4042, 0.00030000000000000003], [0.12610000000000002, 0.1411], [0.1255, 0.1179], [0.0011, 0.1927]], [[0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.4078) q[0];
rz(-0.0007) q[0];
rx(0.4053) q[1];
rz(0.0003) q[1];
rx(0.1257) q[2];
rz(0.1411) q[2];
rx(0.1243) q[3];
rz(0.1293) q[3];
rx(0.0038) q[4];
rz(0.192) q[4];
rx(0.4096) q[0];
rz(-0.0007) q[0];
rx(0.4042) q[1];
rz(0.0003) q[1];
rx(0.1261) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
644eb03fdfac0dc7124d9fec16f653d4 | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [4095, 4094], "expectation_value": -32.53357889120373, "params": [[[0.0027, 3.1613], [0.0019, 0.0026000000000000003], [0.0021000000000000003, 0.0019], [0.0018000000000000002, 0.0021000000000000003], [0.0023, 0.002], [0.0021000000000000003, 0.0018000000000000002], [0.0022, -0.0111], [0.0018000000000000002, 0.... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0027) q[0];
ry(0.0019) q[1];
ry(0.0021) q[2];
ry(0.0018) q[3];
ry(0.0023) q[4];
ry(0.0021) q[5];
ry(0.0022) q[6];
ry(0.0018) q[7];
ry(0.0021) q[8];
ry(0.0025) q[9];
ry(-1.6413) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12... | {"node": 11} | {"circuits": [], "gradients": []} |
-6417900876497034666 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 5, 6, 7, 8, 9, 11], [0, 2, 3, 5, 7, 9, 10, 11], [0, 1, 3, 5, 7, 8, 9, 10, 11], [10, 4], [0, 1, 2, 3, 4, 6, 7, 8], [0, 1, 5, 6, 9, 10], [0, 1, 3, 4, 5, 6, 8], [11, 4], [1, 2, 5, 6, 8, 10, 11], [2, 7, 8, 9, 10]]} | {"states": [1403, 2427], "expectation_value": -2.3665087516095014, "params": [[[1.5715000000000001, 0.0023, 0.0077, 0.00030000000000000003], [1.5774000000000001, -0.0021000000000000003, 0.786, 0.0017000000000000001], [1.4732, 0.0086, 0.0078000000000000005, 0.0034000000000000002], [-0.0057, 0.27040000000000003, 1.5746, ... | 0.1 * (Z(0) @ Z(1)) + 0.05277777777777778 * (Z(2) @ Z(1)) + 0.046825396825396826 * (Z(2) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.08452380952380953 * (Z(3) @ Z(0)) + 0.046825396825396826 * (Z(3) @ Z(2)) + 0.10595238095238095 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.05277777777777778 * (Z(5) @ Z(2)) + 0.066666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.453571428571429], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4535714285714283, "smallest_bitstrings": ["011010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5715) q[0];
rz(0.0023) q[0];
ry(1.5774) q[1];
rz(-0.0021) q[1];
ry(1.4732) q[2];
rz(0.0086) q[2];
ry(-0.0057) q[3];
rz(0.2704) q[3];
ry(-0.0022) q[4];
rz(0.0015) q[4];
ry(0.0024) q[5];
rz(-1.0858) q[5];
ry(3.1398) q[6];
rz(0.0014) q[6];
ry(-0.0026) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b4abb288c03261a7332dab8c58ac7f10 | 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": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target": 9}, {"capac... | {"states": [145, 209], "expectation_value": -11.402922752041912, "params": [-0.030100000000000002, 0.6731, 0.056, 0.8321000000000001, 0.0011, 0.2713, 0.0055000000000000005, 0.4253, 0.7831, 0.0461, 0.7672, 0.0876, -0.38870000000000005, 0.4924, -0.3773, 0.1032, 0.003, 0.30010000000000003, -0.015000000000000001, 0.3556, 0... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(6) @ Z(... | 7 | 10 | 3 | {"smallest_eigenvalues": [-11.75, -11.75, -11.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.75, "smallest_bitstrings": ["1100101110", "1100101010", "1000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0301) q[0];
rz(0.6731) q[0];
rx(0.0011) q[1];
rz(0.2713) q[1];
rx(0.7831) q[2];
rz(0.0461) q[2];
rx(-0.3887) q[3];
rz(0.4924) q[3];
rx(0.003) q[4];
rz(0.3001) q[4];
rx(0.4551) q[5];
rz(-0.2007) q[5];
rx(0.0222) q[6];
rz(0.4743) q[6];
rx(-0.012) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-1250214267010825968 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 5, 6, 7, 8, 9], [0, 2, 4, 6, 7, 9, 11], [0, 3, 7, 8, 11], [0, 1, 2, 3, 6, 8, 10], [0, 2, 4, 5, 10], [0, 1, 2, 4, 5, 6, 7, 11], [1, 3, 5], [0, 3, 8, 9, 11], [1, 2, 9, 6], [1, 4, 5, 6, 7, 8, 9, 10], [2, 3, 4, 5, 7, 8, 9, 11], [8, 1, 11, 5], [0, 3, 4,... | {"states": [4071, 2023], "expectation_value": -3.8866067967105757, "params": [[[1.4942, 0.0085, 0.0039000000000000003, 0.0017000000000000001], [-0.0017000000000000001, 0.2063, 1.5689000000000002, 0.0009000000000000001], [2.6026000000000002, 0.0015, 0.0013000000000000002, 0.0012000000000000001], [0.0023, -0.3617, 1.5686... | 0.2976190476190476 * (Z(0) @ Z(5)) + 0.2583333333333333 * (Z(7) @ Z(5)) + 0.1988095238095238 * (Z(7) @ Z(0)) + 0.13095238095238093 * (Z(8) @ Z(5)) + 0.08928571428571427 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.27499999999999997 * (Z(9) @ Z(5)) + 0.32261904761904764 * (Z(9) @ Z(0)) + 0.15119047619047618... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.635714285714285], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.604761904761905, "smallest_bitstrings": ["100000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.4942) q[0];
rz(0.0085) q[0];
ry(-0.0017) q[1];
rz(0.2063) q[1];
ry(2.6026) q[2];
rz(0.0015) q[2];
ry(0.0023) q[3];
rz(-0.3617) q[3];
ry(2.5961) q[4];
rz(0.0079) q[4];
ry(-0.0026) q[5];
rz(-0.2874) q[5];
ry(2.5934) q[6];
rz(0.0049) q[6];
ry(1.4059) 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": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -4.344890911879041, "params": [[0.06330000000000001, 0.0512, 0.0536, 0.0327], [-0.0685, -0.0509, -0.049100000000000005, -0.0341]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01816570760583912, 0.01909088700015619], "optimization_t... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | 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(-0.0317) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1899) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1899) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0633) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 73.96448302268982} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c318eeb7eb4d2406be835b244ee73c46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3525, 3557], "expectation_value": -3.934183032835625, "params": [[[0.9955, -0.0031000000000000003], [0.9997, -0.0025], [0.0024000000000000002, 0.7429], [0.9934000000000001, -0.0031000000000000003], [1.0025, -0.0036000000000000003], [0.9997, 0.0037], [0.5615, -0.0043], [0.0903, -0.4506], [0.0008, 0.499200000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["001000011010", "001000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.9955) q[0];
rz(-0.0031) q[0];
rx(0.9997) q[1];
rz(-0.0025) q[1];
rx(0.0024) q[2];
rz(0.7429) q[2];
rx(0.9934) q[3];
rz(-0.0031) q[3];
rx(1.0025) q[4];
rz(-0.0036) q[4];
rx(0.9997) q[5];
rz(0.0037) q[5];
rx(0.5615) q[6];
rz(-0.0043) q[6];
rx(0.0903) 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": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.663390479843464, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 106.63859534263611} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[0];
cry(-1.5708) q[5], q[1];
ry(0.7803) q[5];
cry(-1.5708) q[6], q[3];
ry(0.8783) q[6];
cry(-1.5708) q[4], q[2];
ry(0.9091) q[4];
ry(-0.4292) q[2];
ry(-0.3823) q[3];
ry(-0.3041) q[1];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) 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", ... |
d0236f6cf995a0f3acfdd6d57306a5bf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [106, 107], "expectation_value": -100.66328461952963, "params": [[[0.017, -0.6176, 0.005, 0.0092], [-0.0024000000000000002, 0.9452, -0.0028, 0.0076], [0.3312, 0.6674, 0.007200000000000001, 0.6725], [-0.1, -0.027600000000000003, 0.15380000000000002, 0.0099], [1.0396, -0.042800000000000005, 0.0076, -0.0453], [... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 15.5 * Z(3) + 8.0 * Z(2) + 20.5 * Z(4) + 2.0 * Z(0) + 1.5 * Z(5) + 7.5 * Z(6) ... | 12 | 10 | 3 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["1110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.017) q[0];
rz(-0.6176) q[0];
ry(-0.0024) q[1];
rz(0.9452) q[1];
ry(0.3312) q[2];
rz(0.6674) q[2];
ry(-0.1) q[3];
rz(-0.0276) q[3];
ry(1.0396) q[4];
rz(-0.0428) q[4];
ry(0.0402) q[5];
rz(0.0693) q[5];
ry(1.1228) q[6];
rz(0.0033) q[6];
ry(0.0019) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
159369b6d44dd5ed6d0054f99b69fa7d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [126, 1023], "expectation_value": -15.399994886354314, "params": [-1.0094, -0.8185, -0.013800000000000002, 0.0426, -0.0637, 0.047, -1.6815, -1.4546000000000001, 0.0027, 0.0027, -0.004, 0.009000000000000001, -1.5975000000000001, -0.8396, 0.0014, 0.0033, 0.0043, 0.0017000000000000001, 0.6566000000000001, 0.603... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z... | 14 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.0094) q[0];
ry(-0.0138) q[1];
ry(-0.0637) q[2];
ry(-1.6815) q[3];
ry(0.0027) q[4];
ry(-0.004) q[5];
ry(-1.5975) q[6];
ry(0.0014) q[7];
ry(0.0043) q[8];
ry(0.6566) q[9];
crx(2.0023) q[9], q[0];
crx(-2.8497) q[8], q[9];
crx(3.4636) q[7], q[8];
crx(-1.655... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 2} | {"circuits": [], "gradients": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | vqe | {"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": [2, 3], "expectation_value": -23.91122224951016, "params": [[[0.1771, -0.32580000000000003], [0.1471, 0.3408], [0.1746, -0.3259], [0.2652, -0.2073], [0.6402, -0.0038], [0.8008000000000001, 0.0036000000000000003], [0.7987000000000001, 0.0023]], [[0.17350000000000002, 0.0043], [0.14880000000000002, 0.006800000... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 1 | 7 | 2 | {"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;
rx(0.1771) q[0];
rz(-0.3258) q[0];
rx(0.1471) q[1];
rz(0.3408) q[1];
rx(0.1746) q[2];
rz(-0.3259) q[2];
rx(0.2652) q[3];
rz(-0.2073) q[3];
rx(0.6402) q[4];
rz(-0.0038) q[4];
rx(0.8008) q[5];
rz(0.0036) q[5];
rx(0.7987) q[6];
rz(0.0023) q[6];
rx(0.1735) q[0];
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[... | {"k": 5} | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 12], "expectation_value": -0.1710095757774997, "params": [[-0.063], [0.0737]], "bitstrings": ["110101", "110011"], "total_optimization_steps": 10, "probabilities": [0.016810813646332357, 0.01681081364633236], "optimization_time": 1.2288174629211426} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "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];
cx q[1], q[0];
rz(-0.063) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.063) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.063) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.063) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.063... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [20, 10], "expectation_value": -0.08633904071033656, "params": [[-0.0526], [0.0669]], "bitstrings": ["01011", "10101"], "total_optimization_steps": 10, "probabilities": [0.03280335962476331, 0.03324037680062285], "optimization_time": 1.317317008972168} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0526) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0526) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0526) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0526) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0526) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1... | null | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 3], "expectation_value": -1.4180748052660443, "params": [0.00030000000000000003, 0.3029, 0.17880000000000001, 0.1633, 0.3951, 0.1746, 0.3957, 0.0733, 0.4046, 0.049600000000000005, 0.0043, 0.24750000000000003, 0.1773, 0.17220000000000002, 0.3955, 0.1958, 0.39690000000000003, 0.0792, 0.4021, 0.050800000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 3 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0003) q[0];
rz(0.3029) q[0];
rx(0.1788) q[1];
rz(0.1633) q[1];
rx(0.3951) q[2];
rz(0.1746) q[2];
rx(0.3957) q[3];
rz(0.0733) q[3];
rx(0.4046) q[4];
rz(0.0496) q[4];
crz(0.0666) q[4], q[3];
crz(0.1089) q[3], q[2];
crz(0.201) q[2], q[1];
crz(-0.1484) 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": []} |
996e31268f5064c2e524b73867a52aca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -13.902072190986502, "params": [[[-0.0063, -0.0034000000000000002], [-0.0006000000000000001, 0.0379], [-0.0019, -0.0024000000000000002], [0.010400000000000001, -0.0027], [0.0043, -0.0029000000000000002], [0.007500000000000001, -0.0032], [-0.0007, -0.0027], [0.001, -0.0023],... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(10) @ Z(4)) + -0.5 * (Z(10) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0063) q[0];
ry(-0.0006) q[1];
ry(-0.0019) q[2];
ry(0.0104) q[3];
ry(0.0043) q[4];
ry(0.0075) q[5];
ry(-0.0007) q[6];
ry(0.001) q[7];
ry(-0.109) q[8];
ry(0.0413) q[9];
ry(2.0896) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
478b0d0e79aaa383d09e0a7385a1b956 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [0, 127], "expectation_value": -10.088720014087817, "params": [[[0.0024000000000000002, 1.6064], [0.0024000000000000002, 0.0026000000000000003], [0.0017000000000000001, 0.0016], [0.0023, 0.0019], [0.0016, 0.002], [-0.003, 0.0022], [0.0028, 0.0031000000000000003]]], "bitstrings": ["1111111", "0000000"], "tota... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["1100000", "0000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0024) q[0];
ry(0.0024) q[1];
ry(0.0017) q[2];
ry(0.0023) q[3];
ry(0.0016) q[4];
ry(-0.003) q[5];
ry(0.0028) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.6064) q[0];
ry(0.0026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x0... | {"node": 0} | {"circuits": [], "gradients": []} |
-6355160135284227684 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [1, 2, 4], [0, 1]]} | {"states": [10, 14], "expectation_value": -1.1744270657558884, "params": null, "bitstrings": ["10101", "10001"], "total_optimization_steps": 25, "probabilities": [0.16720736381176743, 0.5349432197275731], "optimization_time": 14.163065433502197} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "10100", "01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[3], q[0];
ry(1.3116) q[1];
cry(-0.5034) q[1], q[0];
ry(1.1431) q[3];
ry(-0.4328) q[0];
cry(0.3467) q[1], q[3];
cry(0.2388) q[3], q[1];
cry(-0.4048) q[2], q[4];
cry(-0.3069) q[4], q[2];
cry(-0.0908) q[2], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
ab341360a725e6b2f6204b135ea8e845 | 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": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.4614612827785664, "params": [[0.0112, 0.055200000000000006, 0.0795], [0.0175, -0.0274, -0.0574]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0057890459567672215, 0.006015696361091936], "optimization_time": 4.224029302597046} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0168) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0112) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0112) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0112) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [38, 7], "expectation_value": -1.510351132063577, "params": [[0.06330000000000001], [-0.066]], "bitstrings": ["011001", "111000"], "total_optimization_steps": 10, "probabilities": [0.019161895053443193, 0.019435294065548496], "optimization_time": 1.6771714687347412} | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2216) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2216) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2216) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2532) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2216... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 3} | {"circuits": [], "gradients": []} |
-8127353353967273224 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 4], [4, 5], [1, 2], [0, 2], [2, 6]]} | {"states": [101, 103], "expectation_value": -2.2260513288076207, "params": null, "bitstrings": ["0011010", "0011000"], "total_optimization_steps": 39, "probabilities": [0.3279271486150956, 0.43398065326849244], "optimization_time": 31.348159790039062} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010010", "0011010", "1101101", "0011000", "1100101", "1100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[5], q[3];
ry(1.3762) q[4];
cry(-0.7081) q[1], q[2];
ry(1.0162) q[6];
cry(1.1525) q[6], q[1];
ry(-0.5) q[2];
cry(1.3529) q[1], q[0];
cry(-0.5042) q[4], q[3];
cry(0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.7108948547000085, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12297595075147282, 0.26620226255931867], "optimization_time": 803.3151352405548} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999776], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999998817, "smallest_bitstrings": ["1010101001010101"]} | 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];
cry(-0.5938) q[12], q[13];
cry(-0.5942) q[8], q[9];
cry(-0.5946) q[14], q[15];
cry(-0.5938) q[5], q[4];
cry(-0.5942) q[3], q... | null | {"communities_size": 4, "number_of_communities": 2} | {"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];\ncry(-0.5938) q[12], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
212e5716392e95bb7f36e3c2b4215833 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 255], "expectation_value": -0.17053836275694848, "params": [[0.0241], [-0.0164]], "bitstrings": ["0000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.0010374192553815461, 0.0010374192553815464], "optimization_time": 2.7409322261810303} | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000", "1100000000"]} | 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[0], q[1];
rz(-0.0723) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.1205) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0723) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.1205) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[0], q[1];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} |
890404114302194751 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [3, 4], [3, 5], [2, 3], [1, 5], [1, 3], [1, 4], [0, 2], [0, 3], [0, 6]]} | {"states": [41, 86], "expectation_value": -0.1304054413076262, "params": [[-0.0853], [0.0791]], "bitstrings": ["1010110", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009113284367466928, 0.009113284367466928], "optimization_time": 1.4132540225982666} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101001", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.0853) q[2];
cx q[6], q[2];
cx q[2], q[3];
rz(-0.0853) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(-0.0853) q[4];
cx q[3], q[4];
cx q[3], q[5];
rz(-0.0853) q[5];
cx q[3], q[5];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[3], q[5];
... | null | {"circuits": [], "gradients": []} |
3490861310197494362 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 5, 6], [2, 3], [2, 5, 6], [0, 3, 4, 5, 6]]} | {"states": [15, 47], "expectation_value": -1.190282650556505, "params": null, "bitstrings": ["1110000", "1010000"], "total_optimization_steps": 41, "probabilities": [0.22641842262738943, 0.25736558022161105], "optimization_time": 55.82884907722473} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.2333333333333332, "smallest_bitstrings": ["0001010", "1010100", "0110100", "1010000", "1110000", "11101... | 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(1.2883) q[6];
cry(-1.025) q[3], q[2];
ry(0.8809) q[3];
ry(-0.5978) q[2];
cry(0.4666) q[6], q[3];
cry(-0.3269) q[6], q[2];
ry(0.7715) q[5];
cry(0.4385) q[3], q[5];
cry(-0.4054) q[3], q[0];
cry(0.1426) q... | 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(1.2883) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 109.90837788581848} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.1871) q[4], q[6];
cry(-1.1871) q[5], q[3];
ry(1.287) q[2];
cry(-1.1939) q[1], q[0];
ry(0.6209) q[4];
ry(-0.5219) q[6];
cry(0.5717) q[2], q[4];
cry(0.6906) q[4], q[1];
cry(-0.5577) q[4], q[0];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.1871) 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] = measure q[6... |
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