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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f808eaed2b970e83f5c2cdba346511af | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [0, 16383], "expectation_value": -21.258888283755983, "params": [[[0.0026000000000000003, 1.614], [0.0019, 0.0027], [0.0023, 0.0027], [0.0018000000000000002, 0.0028], [0.0028, 0.0016], [0.0032, -0.0028], [-0.0029000000000000002, 0.0029000000000000002], [0.002, 0.0022], [0.0016, 0.0018000000000000002], [0.001... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) +... | 15 | 14 | 1 | {"smallest_eigenvalues": [-26.999999999999808], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.999999999999805, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0026) q[0];
ry(0.0019) q[1];
ry(0.0023) q[2];
ry(0.0018) q[3];
ry(0.0028) q[4];
ry(0.0032) q[5];
ry(-0.0029) q[6];
ry(0.002) q[7];
ry(0.0016) q[8];
ry(0.0016) q[9];
ry(0.002) q[10];
ry(-0.0028) q[11];
ry(0.0028) q[12];
ry(-0.0028) q[13];
cx q[13], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 11} | {"circuits": [], "gradients": []} |
b2309033b6624415ccab4ec6991f5bce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [12975, 15023], "expectation_value": -3.277521564343158, "params": [1.5676, 0.0027, 1.5749, 0.0014, 0.9546, 0.47100000000000003, 0.2872, 0.7119000000000001, 1.4904000000000002, 0.3672, -0.0036000000000000003, 1.1, 1.5768, 0.6092000000000001, 0.5096, 0.8451000000000001, 1.4028, 0.1794, 0.1837, 0.8269000000000... | 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... | 3 | 14 | 2 | {"smallest_eigenvalues": [-4.125000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.125000000000001, "smallest_bitstrings": ["00010101010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(1.5676) q[0];
rz(0.0027) q[0];
rx(1.5749) q[1];
rz(0.0014) q[1];
rx(0.9546) q[2];
rz(0.471) q[2];
rx(0.2872) q[3];
rz(0.7119) q[3];
rx(1.4904) q[4];
rz(0.3672) q[4];
rx(-0.0036) q[5];
rz(1.1) q[5];
rx(1.5768) q[6];
rz(0.6092) q[6];
rx(0.5096) q[7];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 13.044834613800049} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[3];
ry(0.7022) q[0];
ry(-0.4578) q[3];
cry(0.4969) q[5], q[0];
cry(-0.3761) q[5], q[3];
cry(-0.1216) q[5], q[2];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-4110772197468043772 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]} | {"states": [56, 60], "expectation_value": -2.2349834092888914, "params": null, "bitstrings": ["1000111", "1000011"], "total_optimization_steps": 49, "probabilities": [0.21192613315769368, 0.45790669586527183], "optimization_time": 57.14822173118591} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 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, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1000111", "1101010", "0010111", "0111100", "1111000", "0010101", "0111000", "0000111", "1000011", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[6];
cry(-1.0342) q[2], q[5];
ry(1.0293) q[2];
cry(-0.8214) q[1], q[5];
cry(-1.2204) q[4], q[0];
ry(1.0512) q[3];
cry(-0.8415) q[2], q[6];
cry(1.1564) q[3], q[1];
ry(-0.3773) q[5];
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(-1.0342) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
eedfffae46889ceabb09be93decddfde | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [75, 27], "expectation_value": -4.29062642298981, "params": null, "bitstrings": ["0110100", "1100100"], "total_optimization_steps": 50, "probabilities": [0.047690857277397795, 0.8614514270561976], "optimization_time": 50.380123138427734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.4449) q[6];
ry(1.4449) q[5];
cry(-1.0398) q[3], q[4];
cry(-1.0398) q[2], q[0];
ry(0.7022) q[3];
ry(0.7022) q[2];
ry(-0.4578) q[0];
cry(0.497) q[5], q[2];
ry(-0.4578) q[4];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c0867fa83c27790e640a8471c35b357b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [2047, 1023], "expectation_value": -0.734686075318321, "params": [[0.058800000000000005], [-0.047]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0006719107072622096, 0.0006793676928278956], "optimization_time": 2.1171414852142334} | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[3];
rz(-0.1176) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(-0.2352) q[5];
cx q[6], q[5];
cx q[6], q[8];
rz(0.1176) q[8];
cx q[6], q[8];
cx q[5], q[8];
rz(-0.2352)... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[3];
rz(x0) q[3];
c... | {"node": 1} | {"circuits": [], "gradients": []} |
ae7030272ac936e661be9cf623126b78 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [2944, 3968], "expectation_value": -4.814863876553833, "params": [[0.07250000000000001], [-0.056100000000000004]], "bitstrings": ["010001111111", "000001111111"], "total_optimization_steps": 10, "probabilities": [0.000627124648668678, 0.0006530644049203242], "optimization_time": 4.26310396194458} | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -4.0 * (Z(5) @ Z(6)) + -3.5 * (Z(10) @ Z(6)) + -3.5 * (Z(10) @ Z(5)) + 2.0 * (Z(11) @ Z(6)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-55.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["000001111111"]} | 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[2], q[0];
rz(-0.29) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.3625) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.3625) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 9} | {"circuits": [], "gradients": []} |
253d3995de007ce15800f0023018551d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 28.158268928527832} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.231) q[6];
ry(-0.6433) q[0];
cry(1.4449) q[4], q[3];
cry(1.218) q[3], q[4];
cry(0.2809) q[4], q[6];
cry(-0.1177) q[4], q[0];
ry(-1.0398) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8c697c43ffe81bc66c8ab3745873443f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -59.03131406903729, "params": [[[0.0024000000000000002, 0.0039000000000000003], [0.0022, 0.008], [0.0023, 0.0041], [0.0023, 0.0067], [0.0022, 0.00030000000000000003], [0.0027, 0.006], [0.0025, 0.006900000000000001], [0.0027, 0.0049], [0.0022, 0.0085], [0.0022, 0.0074], [0.002... | -3.0 * (Z(0) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(0)) + -3.0 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(8)) + -4.0 * (Z(11) @ Z(7)) + -4.0 * (Z(11) @ Z(0)) + -3.5 * (Z(11) @ Z(8)) + 2.0 * (Z(11) @ Z(9)) + 1.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(8)) + -4.0 * (Z(6) @ Z(9)) +... | 2 | 14 | 1 | {"smallest_eigenvalues": [-64.99999999999955], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.999999999999744, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0024) q[0];
rz(0.0039) q[0];
rx(0.0022) q[1];
rz(0.008) q[1];
rx(0.0023) q[2];
rz(0.0041) q[2];
rx(0.0023) q[3];
rz(0.0067) q[3];
rx(0.0022) q[4];
rz(0.0003) q[4];
rx(0.0027) q[5];
rz(0.006) q[5];
rx(0.0025) q[6];
rz(0.0069) q[6];
rx(0.0027) 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[... | {"node": 1} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | 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": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [14255, 14253], "expectation_value": -7.743500183928528, "params": [0.7156, 0.5224, 0.7143, 0.0039000000000000003, 1.6860000000000002, 0.2933, 1.4542000000000002, 0.0013000000000000002, 1.4936, 0.041, 1.6355000000000002, 0.008, 0.7021000000000001, 0.4889, 0.7059000000000001, 0.0035, 1.5070000000000001, -0.06... | 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.... | 7 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.49999999999996, "smallest_bitstrings": ["100100001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.7156) q[0];
rz(0.5224) q[0];
rx(1.686) q[1];
rz(0.2933) q[1];
rx(1.4936) q[2];
rz(0.041) q[2];
rx(0.7021) q[3];
rz(0.4889) q[3];
rx(1.507) q[4];
rz(-0.0612) q[4];
rx(1.5418) q[5];
rz(-0.076) q[5];
rx(1.5674) q[6];
rz(-0.0041) q[6];
rx(1.569) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
b05d4a1781ebf310d5e2be36b5154b7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [292, 300], "expectation_value": -8.252347437716285, "params": [0.39840000000000003, 0.4012, 0.1358, 0.13040000000000002, -0.0034000000000000002, 0.0008, 0.31930000000000003, 0.3163, -0.012, -0.0049, 0.2917, 0.2864, 0.40140000000000003, 0.4035, -0.0088, -0.0123, 0.005200000000000001, 0.0039000000000000003, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["011010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3984) q[0];
ry(0.1358) q[1];
ry(-0.0034) q[2];
ry(0.3193) q[3];
ry(-0.012) q[4];
ry(0.2917) q[5];
ry(0.4014) q[6];
ry(-0.0088) q[7];
ry(0.0052) q[8];
crz(-0.2365) q[8], q[0];
crz(0.1988) q[7], q[8];
crz(0.0016) q[6], q[7];
crz(0.0821) q[5], q[6];
crz(-0.2... | 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -0.04515672113731738, "params": [[-0.0545], [0.06420000000000001]], "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 10, "probabilities": [0.004290059068069294, 0.004290059068069294], "optimization_time": 6.772084951400757} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"]} | 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(-0.0545) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0545) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0.0545) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(-0.0545) q[5];
cx q[6], q[5];
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[1], q[0];
rz(x0) q[0];
cx q[1],... | null | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -6.427194135294741, "params": [[0.046400000000000004, 0.0366, 0.0227], [-0.042, -0.052000000000000005, -0.044700000000000004]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03122960775399624, 0.031959639545171246], "optimization_time": ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 9 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | 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(0.2088) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2088) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2088) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2088) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2088... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
a603da1a0fa48a0c889ceccbdae517d6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 35], "expectation_value": -0.10194128026535247, "params": [[-0.0604], [0.0748]], "bitstrings": ["1000111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.008601189238486158, 0.008601189238486162], "optimization_time": 1.1466403007507324} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0604) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0604) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(-0.0604) q[5];
cx q[4], q[5];
cx q[5], q[2];
rz(-0.0604) q[2];
cx q[5], q[2];
cx q[2], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.9579132853280086, "params": [[-0.045700000000000005, -0.0296, -0.0206], [0.065, 0.0463, 0.0385]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008385972626468481, 0.008455058741786665], "optimization_time": 5.054851531982422} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"]} | 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(0.0914) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.0914) q[1];
cx q[3], q[1];
cx q[4], q[5];
rz(0.1143) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0457) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
410a620476bb1ab89428221268021245 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [20, 10], "expectation_value": -4.6083229555027545, "params": [[0.1734, 0.15810000000000002], [-0.1839, -0.17250000000000001]], "bitstrings": ["1101011", "1110101"], "total_optimization_steps": 20, "probabilities": [0.037295384228001105, 0.038395112409227786], "optimization_time": 7.561216115951538} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"]} | 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(0.1734) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1734) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1734) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.1734) q[5];
cx q[1], q[5];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 23.735366344451904} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"]} | 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[0];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[2], q[1];
cry(0.1216) q[1], q[5];
cry(0.1186) q[5], q[2];
cry(-0.002... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [58, 42], "expectation_value": -0.11603154484035644, "params": [0.8916000000000001, 0.8795000000000001, 0.8553000000000001, 0.8755000000000001, 0.8932, 0.8913000000000001, 0.6614, 0.6812, 0.9011, 0.8931, 0.6617000000000001, 0.6764, 0.889, 0.5001, 0.5401, 0.6521, 0.8914000000000001, -0.5653, -0.6749, 0.886500... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 14 | 6 | 1 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.8916) q[0];
ry(0.8553) q[1];
ry(0.8932) q[2];
ry(0.6614) q[3];
ry(0.9011) q[4];
ry(0.6617) q[5];
crx(0.889) q[5], q[0];
crx(-0.7237) q[4], q[5];
crx(0.8853) q[3], q[4];
crx(-0.6749) q[2], q[3];
crx(0.8914) q[1], q[2];
crx(0.5401) q[0], q[1];
ry(0.8795) 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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
aa65765ad90492d9fd8f9e59d7f1b90e | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [68, 69], "expectation_value": -6.1301646404318655, "params": [0.0712, 0.0692, -0.0029000000000000002, 0.0038, 0.47240000000000004, 0.4665, -0.0018000000000000002, -0.0057, 0.0014, -0.006, -0.00030000000000000003, -0.0027, 0.5993, 0.6022000000000001, 0.1317, 0.13040000000000002, 0.4652, 0.46280000000000004, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["111010101", "111101100", "010111011", "010011111", "111111000", "110111010", "001101111", "111110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0712) q[0];
ry(-0.0029) q[1];
ry(0.4724) q[2];
ry(-0.0018) q[3];
ry(0.0014) q[4];
ry(-0.0003) q[5];
ry(0.5993) q[6];
ry(0.1317) q[7];
ry(0.4652) q[8];
crz(0.1902) q[8], q[0];
crz(0.2772) q[7], q[8];
crz(0.0107) q[6], q[7];
crz(0.3498) q[5], q[6];
crz(-0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c0867fa83c27790e640a8471c35b357b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [831, 1023], "expectation_value": -14.65397057554885, "params": null, "bitstrings": ["10011000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.11182921288336588, 0.4085807555626607], "optimization_time": 180.6258623600006} | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[10], q[2];
cry(1.5708) q[2], q[1];
cry(1.2306) q[1], q[10];
cry(0.4422) q[1], q[2];
cry(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5708) q[5], q[6];
ry(1.11... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[10], 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... |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.343061591675735, "params": [0.24910000000000002, -0.0039000000000000003, 0.2777, 0.0721, 0.2151, -0.0302, 0.2873, 0.0629, -0.009300000000000001, 0.5253, -0.0145, 0.5485, -0.030600000000000002, 0.49870000000000003, -0.0366, 0.513, -0.0149, 0.4793, -0.0596, 0.5353, -0.0189, 0... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2491) q[0];
rz(-0.0039) q[0];
rx(0.2151) q[1];
rz(-0.0302) q[1];
rx(-0.0093) q[2];
rz(0.5253) q[2];
rx(-0.0306) q[3];
rz(0.4987) q[3];
rx(-0.0149) q[4];
rz(0.4793) q[4];
rx(-0.0189) q[5];
rz(0.4552) q[5];
rx(-0.0201) q[6];
rz(0.3466) q[6];
rx(-0.0221) 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... | {"node": 6} | {"circuits": [], "gradients": []} |
5fb7d8d9ff75f939abcd806fd5ddfb77 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -6.970149770234404, "params": null, "bitstrings": ["00011", "00000"], "total_optimization_steps": 36, "probabilities": [0.1987185784071432, 0.5937893192176302], "optimization_time": 16.657758712768555} | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"]} | 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(1.5708) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.14) q[0], q[1];
cry(0.4215) q[0], q[2];
cry(1.5486) q[4], q[3];
cry(1.2305) q[3], q[4];
ry(-0.1124) q[0];
cry(0.2265) q[2], q[1];
cry(0.1021) q[1], q[0];
cry(-0.1188)... | null | {"node": 0} | {"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(1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [81, 13], "expectation_value": -0.12645861078789317, "params": [[-0.0558], [0.0592]], "bitstrings": ["0101110", "1110010"], "total_optimization_steps": 10, "probabilities": [0.008391675312390608, 0.008497122037360322], "optimization_time": 1.4292984008789062} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "0011110", "1110010", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0558) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0558) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0558) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0558) q[2];
cx q[4], q[2];
cx q[1], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.11965439625213832, "params": [[-0.0584, -0.04], [0.07010000000000001, 0.0567]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0012800190956807765, 0.0012800917990351145], "optimization_time": 12.156387567520142} | 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 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"]} | 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(-0.0292) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0292) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0292) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} |
8198021928293f705270038472b9e016 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [65, 1], "expectation_value": -2.599150069720879, "params": [[-0.0771], [0.0743]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004069898795427852, 0.004706549692023761], "optimization_time": 3.180114984512329} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1542) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0771) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1542) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0771) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 8} | {"circuits": [], "gradients": []} |
589a81c8fd04d28f25b3e8e25563f55c | 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": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.24305135814526324, "params": [[0.0695, -0.062], [-0.0804, 0.017400000000000002]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004696986157561509, 0.004795998029955347], "optimization_time": 2.663249969482422} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0348) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(-0.0695) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.1043) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(-0.139) q[2];
cx q[3], q[2];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -11.811809239242862, "params": [[-0.031100000000000003], [0.0734]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0038381776796661826, 0.004144492413483789], "optimization_time": 2.0074234008789062} | 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];
cx q[1], q[0];
rz(-0.2799) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2799) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2799) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2799) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9eba0eb61d68d02031648cd3b7f06dec | 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": [338, 370], "expectation_value": -136.21292144453605, "params": [[-0.0061, -0.007500000000000001, -0.0021000000000000003, 0.9381, -0.0036000000000000003, 0.9968, -0.0297, 0.9817, -0.0024000000000000002, 0.0026000000000000003, 0.7874, 0.0016], [-0.0009000000000000001, 0.0013000000000000002, -0.0142, 0.8612000... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(0) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(1) @ Z(7)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(7)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(11) @ Z(10)) + 17.0 * Z... | 10 | 12 | 3 | {"smallest_eigenvalues": [-164.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -141.0, "smallest_bitstrings": ["111010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0061) q[0];
ry(-0.0075) q[1];
ry(-0.0021) q[2];
ry(0.9381) q[3];
ry(-0.0036) q[4];
ry(0.9968) q[5];
ry(-0.0297) q[6];
ry(0.9817) q[7];
ry(-0.0024) q[8];
ry(0.0026) q[9];
ry(0.7874) q[10];
ry(0.0016) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
97a25582d9da2a01a479d6704a1ea86e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1007], "expectation_value": -16.518092567603347, "params": [[[0.0026000000000000003, 3.1619], [0.0034000000000000002, 0.0027], [0.0035, -0.0031000000000000003], [0.0021000000000000003, 0.0027], [0.0021000000000000003, 0.002], [-1.6095000000000002, 0.002], [0.0022, 0.0021000000000000003], [0.0019, 0.00... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0026) q[0];
ry(0.0034) q[1];
ry(0.0035) q[2];
ry(0.0021) q[3];
ry(0.0021) q[4];
ry(-1.6095) q[5];
ry(0.0022) q[6];
ry(0.0019) q[7];
ry(0.002) q[8];
ry(0.0026) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 4} | {"circuits": [], "gradients": []} |
-1049914376036192018 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 5, 6], [3, 6], [0, 2, 3, 4, 5, 7], [0, 1, 4, 6, 7]]} | {"states": [163, 167], "expectation_value": -1.0438042705487873, "params": null, "bitstrings": ["01011100", "01011000"], "total_optimization_steps": 59, "probabilities": [0.13169106202583297, 0.42695712852876183], "optimization_time": 91.98484396934509} | 0.16666666666666669 * (Z(0) @ Z(4)) + 0.11666666666666667 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000001, -1.1500000000000001, -1.1500000000000001, -1.1500000000000001], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.15, "smallest_bitstrings": ["00011000", "11010000", "10010000", "01011000"]} | 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(1.1782) q[0];
cry(-0.9569) q[6], q[3];
ry(0.8661) q[6];
ry(-0.579) q[3];
cry(0.4626) q[0], q[6];
cry(-0.3532) q[0], q[3];
ry(0.4498) q[7];
cry(0.3382) q[0], q[7];
cry(0.1744) q[7], q[6];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.1782) 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[... |
1e2e363d3026b2b0adfe60243d0e67d7 | 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": [2897, 2641], "expectation_value": -61.122253299614115, "params": [1.0090000000000001, -0.001, -0.0224, 0.6855, 1.0079, 0.0362, 0.7897000000000001, 0.2398, -0.0032, 0.5640000000000001, 1.0, 0.1841, 0.622, 0.2873, 0.9989, 0.169, 0.0034000000000000002, -0.5732, 0.7431, 0.1272, 0.006900000000000001, -0.0001, 1.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(2)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(11) @ Z(6)) + -5.0 * Z(1) + 14.0 * Z(0) + 3.0 * Z(3) + 10.0 * Z(2) + 7.0 * Z(5) + -5.5 * Z(4) + 15.0 * Z(7) + 0.5... | 16 | 12 | 2 | {"smallest_eigenvalues": [-135.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["010110101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.009) q[0];
rz(-0.001) q[0];
rx(-0.0224) q[1];
rz(0.6855) q[1];
rx(1.0079) q[2];
rz(0.0362) q[2];
rx(0.7897) q[3];
rz(0.2398) q[3];
rx(-0.0032) q[4];
rz(0.564) q[4];
rx(1.0) q[5];
rz(0.1841) q[5];
rx(0.622) q[6];
rz(0.2873) q[6];
rx(0.9989) q[7];
rz(0.16... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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, 13, 14]}"} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [230, 239], "expectation_value": -24.24736504694284, "params": null, "bitstrings": ["00011001", "00010000"], "total_optimization_steps": 80, "probabilities": [0.043382921721551566, 0.8506151438784146], "optimization_time": 106.982825756073} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | 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(-5.3058) q[7];
ry(0.3258) q[4];
ry(0.5183) q[1];
ry(1.0424) q[6];
ry(1.255) q[2];
cry(-1.411) q[2], q[7];
cry(0.2674) q[6], q[7];
cry(0.4349) q[1], q[7];
cry(1.0375) q[4], q[7];
cry(1.0415) q[2... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-5.3058) 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] = measure q... |
c0f858c9bf8a5ca6f1ec5eb7b79e6f0c | 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": 10}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target"... | {"states": [0, 1023], "expectation_value": -6.334967200687199, "params": [[[-0.0112, 0.0031000000000000003], [-0.0, 0.7132000000000001], [-0.0017000000000000001, 0.0029000000000000002], [0.0028, 0.0021000000000000003], [0.0027, -0.0023], [0.0023, 0.002], [0.0023, 0.002], [0.0027, -0.002], [-0.0026000000000000003, 0.002... | 0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000000", "10000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0112) q[0];
ry(0) q[1];
ry(-0.0017) q[2];
ry(0.0028) q[3];
ry(0.0027) q[4];
ry(0.0023) q[5];
ry(0.0023) q[6];
ry(0.0027) q[7];
ry(-0.0026) q[8];
ry(-1.0058) q[9];
ry(-0.5569) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
a8abb858362d50c1151bb654b1400ed6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 3}, {"weight": 18, "sourc... | {"states": [392, 393], "expectation_value": -43.77740888096533, "params": [[[1.5770000000000002, -0.0023], [1.5735000000000001, -0.0024000000000000002], [0.3927, 0.6511], [0.0031000000000000003, -0.8714000000000001], [0.0026000000000000003, -1.3174000000000001], [1.5736, 0.0026000000000000003], [-0.0027, 1.3625], [-0.0... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 1.0 * Z(3) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-50.0, -50.0, -50.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -48.0, "smallest_bitstrings": ["010010011", "001110110", "001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.577) q[0];
rz(-0.0023) q[0];
rx(1.5735) q[1];
rz(-0.0024) q[1];
rx(0.3927) q[2];
rz(0.6511) q[2];
rx(0.0031) q[3];
rz(-0.8714) q[3];
rx(0.0026) q[4];
rz(-1.3174) q[4];
rx(1.5736) q[5];
rz(0.0026) q[5];
rx(-0.0027) q[6];
rz(1.3625) q[6];
rx(-0.0027) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
840201519441692596 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 7], [0, 6], [2, 6], [4, 6], [2, 4], [5, 7], [2, 5], [5, 6], [4, 7], [1, 3]]} | {"states": [51, 204], "expectation_value": -0.006811141811973828, "params": [[-0.022500000000000003], [0.013800000000000002]], "bitstrings": ["11001100", "00110011"], "total_optimization_steps": 10, "probabilities": [0.0039499622472840045, 0.0039499622472840045], "optimization_time": 0.6068835258483887} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11001100", "00110011"]} | 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(-0.0225) q[0];
cx q[2], q[0];
cx q[7], q[1];
rz(-0.0225) q[1];
cx q[7], q[1];
cx q[2], q[6];
rz(-0.0225) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0225) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0]... | null | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.8607756064034524, "params": [[-0.0565, -0.0392, -0.0081, -0.024300000000000002], [0.0779, 0.0646, 0.0308, 0.027800000000000002]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00734119896911313, 0.007481488122412309], "optimization... | -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 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "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];
cx q[1], q[0];
rz(0.0565) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0565) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0565) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0565) q[5];
cx q[0], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
94b4685949b0232e6f45bdcd5b80e7ab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [54, 58], "expectation_value": -4.999898992057627, "params": null, "bitstrings": ["1001001", "1000101"], "total_optimization_steps": 33, "probabilities": [1.634968701396955e-05, 0.9999303728259872], "optimization_time": 33.7964243888855} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-0.1259) q[3], q[4];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[3];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5599bf10ca71927ac876cacb8b12fa55 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [11002, 12026], "expectation_value": -2.9444381473914616, "params": [[1.3133000000000001, 0.0245, 1.3033000000000001, 0.31370000000000003, 1.3431, -0.153, 1.3998000000000002, 0.9327000000000001, 1.2559, 1.3960000000000001, 1.3895, 0.7769, 0.5919, 0.1505], [0.7468, -0.1077, 0.9031, 0.0772, 0.7097, 0.0099, 0.4... | 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 * (... | 10 | 14 | 2 | {"smallest_eigenvalues": [-4.218749999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.218749999999996, "smallest_bitstrings": ["01000100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(1.3133) q[0];
ry(0.0245) q[1];
ry(1.3033) q[2];
ry(0.3137) q[3];
ry(1.3431) q[4];
ry(-0.153) q[5];
ry(1.3998) q[6];
ry(0.9327) q[7];
ry(1.2559) q[8];
ry(1.396) q[9];
ry(1.3895) q[10];
ry(0.7769) q[11];
ry(0.5919) q[12];
ry(0.1505) q[13];
cz q[13], q[12];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
2ee51013acda191f703ffb893493c226 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1, 3], "expectation_value": -8.902769592581453, "params": null, "bitstrings": ["1111111110", "1111111100"], "total_optimization_steps": 38, "probabilities": [0.2776203998728034, 0.31021297815234106], "optimization_time": 57.49179005622864} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"]} | 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];
ry(-1.5706) q[7];
ry(-1.5681) q[2];
ry(-1.5708) q[6];
cry(-1.5681) q[9], q[0];
ry(1.0829) q[9];
ry(-1.5708) q[4];
ry(-0.5657) q[0];
ry(-1.5315) q[1];
ry(-1.4674) q[3];
cry(0.3276... | 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];\nry(-1.5706) 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... |
d3a1bd476861992c14dd2d5f2f135799 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [2016, 2040], "expectation_value": -13.13837452458148, "params": null, "bitstrings": ["00000011111", "00000000111"], "total_optimization_steps": 100, "probabilities": [0.1379865590349988, 0.4241552016635839], "optimization_time": 249.01440620422363} | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -1.0 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000100", "00000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[5], q[4];
cry(1.5708) q[4], q[2];
cry(0.72) q[2], q[5];
cry(0.0651) q[4], q[5];
ry(-0.5648) q[5];
cry(1.0297) q[0], q[5];
cry(1.5708) q[4], q[3];
cry(1.372... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], 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[... |
426409ac0dbb6ecbab55022764c98a00 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"sour... | {"states": [281, 285], "expectation_value": -3.026672025795315, "params": [1.6118000000000001, 0.00030000000000000003, 0.0031000000000000003, 0.003, 0.4818, 0.0043, 0.4461, 0.0014, 1.6049, 0.0053, 1.6093000000000002, 0.0027, 1.6034000000000002, 0.0005, 0.5025000000000001, 0.00030000000000000003, 1.6056000000000001, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + 0.0 * Z(0) + -2.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(7) + 0.0 * Z(8) + 0.0 ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["011100100", "010110010", "011100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6118) q[0];
rz(0.0003) q[0];
rx(0.0031) q[1];
rz(0.003) q[1];
rx(0.4818) q[2];
rz(0.0043) q[2];
rx(0.4461) q[3];
rz(0.0014) q[3];
rx(1.6049) q[4];
rz(0.0053) q[4];
rx(1.6093) q[5];
rz(0.0027) q[5];
rx(1.6034) q[6];
rz(0.0005) q[6];
rx(0.5025) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.7604079246520996} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5708) q[1];
cry(-1.5681) q[3], q[0];
ry(1.231) q[3];
ry(-0.6451) q[0];
cry(0.2801) q[2], q[3];
cry(-0.1165) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
-2116175538027065673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 6], [1, 9], [0, 2, 4, 6, 7, 9], [1, 3, 4, 5, 7, 8], [1, 2, 3, 4], [0, 1, 2, 5, 6, 7], [9, 3, 7], [0, 1, 3, 5, 6, 7], [8, 1, 6], [8, 9, 6], [0, 1, 4, 5], [4, 5, 6, 7], [8, 0, 4, 5], [0, 2, 3, 5, 7]]} | {"states": [1006, 878], "expectation_value": -3.0070078310759323, "params": [1.5754000000000001, 0.1767, 1.411, 0.0039000000000000003, 1.3932, 0.0429, 1.3361, 0.0043, 1.0943, 0.38380000000000003, 0.8703000000000001, 0.0013000000000000002, 1.5917000000000001, 0.1626, 1.4283000000000001, 0.0054, 1.5845, 0.1776, 1.4603000... | 0.19999999999999998 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(1)) + 0.15 * (Z(6) @ Z(2)) + 0.31666666666666665 * (Z(6) @ Z(1)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.1999999... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3, "smallest_bitstrings": ["0010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5754) q[0];
rz(0.1767) q[0];
rx(1.3932) q[1];
rz(0.0429) q[1];
rx(1.0943) q[2];
rz(0.3838) q[2];
rx(1.5917) q[3];
rz(0.1626) q[3];
rx(1.5845) q[4];
rz(0.1776) q[4];
rx(0.7749) q[5];
rz(-0.577) q[5];
rx(1.5865) q[6];
rz(0.1808) q[6];
rx(1.5869) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
64eae7c41dfa3290e7cb58a32391f057 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [92, 124], "expectation_value": -0.06570846853035456, "params": [[0.0478], [-0.042300000000000004]], "bitstrings": ["0100011", "0000011"], "total_optimization_steps": 10, "probabilities": [0.008219787745564118, 0.00834329460367686], "optimization_time": 1.2446026802062988} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0478) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0478) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.0478) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0478) q[2];
cx q[5], q[2];
cx q[5], 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;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
fb6267fe9e00f958431b621d7db08da1 | 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": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.413741076636501, "params": [[0.0227, 0.0466, 0.0699, 0.0814], [0.001, -0.0175, -0.0422, -0.0632]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01320073085860466, 0.014422378062842267], "optimization_time": 5.503614902496338} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0114) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0227) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(-0.0114) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0114) q[2];
cx q[1], q[2];
cx q[5], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3b4195810bf2a6f7a0a91b99109270dd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [238, 110], "expectation_value": -27.07569327607922, "params": [[-0.0269, -0.0007, -0.0051], [0.0522, 0.0478, 0.057]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010815041575573541, 0.013389812273906506], "optimization_time": 6.911955118179321} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2152) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2152) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2152) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2152) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f29f5d56e7c902f7d6d17be659087579 | 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": [882, 626], "expectation_value": -104.76442680362274, "params": [-0.0029000000000000002, -0.0001, 0.49250000000000005, 0.49150000000000005, 0.2252, 0.2311, 0.07, 0.0516, 0.4953, 0.4922, 0.4852, 0.4812, 0.4716, 0.4655, 0.1469, 0.14100000000000001, 0.16140000000000002, 0.1665, 0.49860000000000004, 0.4920000000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(1) + 8.5 * Z(2) + -2.0 * ... | 14 | 11 | 3 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.0, "smallest_bitstrings": ["10110001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0029) q[0];
ry(0.4925) q[1];
ry(0.2252) q[2];
ry(0.07) q[3];
ry(0.4953) q[4];
ry(0.4852) q[5];
ry(0.4716) q[6];
ry(0.1469) q[7];
ry(0.1614) q[8];
ry(0.4986) q[9];
ry(-0.0035) q[10];
crx(0.3313) q[10], q[0];
crx(0.0017) q[9], q[10];
crx(0.0705) q[8], 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... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
8b9699e184b2dee4b86c87a62e9c7e5c | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.7333578364984963, "params": [[0.029, -0.055, -0.06420000000000001], [-0.0733, 0.038400000000000004, 0.0604]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00658788949793692, 0.00690243604208653], "optimization_time": 5.631910562... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0145) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.029) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.029) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.029) q[6];
cx q[1], q[6];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bd450980ecb62a263062b6b855a443ea | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -1.8380851907123161, "params": [[0.0631, 0.0699, 0.0636, 0.07300000000000001], [-0.0541, -0.0634, -0.0534, -0.062]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.02398295976759836, 0.024280445054904027], "optimization_time": 8.626332... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"]} | 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(-0.1262) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0316) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.0631) q[3];
cx q[1], q[3];
cx q[5], q[3];
rz(-0.1262) q[3];
cx q[5], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [2453, 1642], "expectation_value": -0.002060265151215229, "params": [[0.0263], [-0.0262]], "bitstrings": ["011001101010", "100110010101"], "total_optimization_steps": 10, "probabilities": [0.00024617391500703447, 0.0002461739150070345], "optimization_time": 6.6491312980651855} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011718750000000002 * (Z(4) @ Z(0)) + 0.0005859375000000001 * (Z(4) @ Z(2)) + -0.0011718750000000002 * (Z(5) @ Z(1)) + 0.0005859375000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5107421875000009, -1.5107421875000009], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5103515625000004, "smallest_bitstrings": ["100110010101", "011001101010"]} | 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(0.0132) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], ... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-4319918290322137079 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 5], [3, 5], [1, 3], [1, 2], [0, 3], [3, 4]]} | {"states": [19, 44], "expectation_value": -0.053983979483765196, "params": [[-0.055], [0.0716]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.016860782298591327, 0.016860782298591327], "optimization_time": 2.673506498336792} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.055) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.055) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.055) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.055) q[3];
cx q[0], q[3];
cx q[5], q[3];
rz(-0.055... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
29e92acfe2c6a58b3d167fffb8d12193 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [255, 127], "expectation_value": -2.7273393794928653, "params": [[0.07100000000000001], [-0.0597]], "bitstrings": ["11100000000", "11110000000"], "total_optimization_steps": 10, "probabilities": [0.0009269163531985189, 0.0009465850639503305], "optimization_time": 4.089720964431763} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -2.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(-0.355) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.355) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.142) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(-0.355) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 2} | {"circuits": [], "gradients": []} |
b86265187bfb2c2bd15ec1f4006924d5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [113, 119], "expectation_value": -7.99457701930524, "params": null, "bitstrings": ["110001110", "110001000"], "total_optimization_steps": 63, "probabilities": [0.15149354878377355, 0.4520958476026159], "optimization_time": 102.63127708435059} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"]} | 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(-1.57) q[8], q[0];
ry(0.9551) q[8];
ry(-1.5681) q[1];
ry(-1.5662) q[5];
ry(-0.4915) q[0];
cry(1.5626) q[6], q[7];
cry(1.2305) q[7], q[6];
cry(1.5591) q[4], q[3];
cry(1.2263) q[3], q[4]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.57) q[8], 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[... |
f57a2cc2fc3eb57350bac5c17eb9c9f4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [457, 329], "expectation_value": -5.529542937276558, "params": [0.8101, 0.0016, 0.8063, 0.009600000000000001, 0.7891, 0.0025, 0.7811, 0.0095, 0.8029000000000001, -0.0022, 0.8049000000000001, 0.0061, -0.0028, 0.4077, -0.003, 0.0056, 0.0089, 0.45530000000000004, 0.009600000000000001, 0.0098, 0.798, 0.2585, 0.7... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["010110110", "000111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8101) q[0];
rz(0.0016) q[0];
rx(0.7891) q[1];
rz(0.0025) q[1];
rx(0.8029) q[2];
rz(-0.0022) q[2];
rx(-0.0028) q[3];
rz(0.4077) q[3];
rx(0.0089) q[4];
rz(0.4553) q[4];
rx(0.798) q[5];
rz(0.2585) q[5];
rx(0.0013) q[6];
rz(0.4517) q[6];
rx(0.1813) 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": []} |
75e38f85452ebc08ee898a0ac8b18be5 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [18, 5], "expectation_value": -0.7225343761387522, "params": [[0.0714, 0.06620000000000001], [-0.07980000000000001, -0.07200000000000001]], "bitstrings": ["01101", "11010"], "total_optimization_steps": 10, "probabilities": [0.0379089011271241, 0.042759593311203326], "optimization_time": 2.82653546333313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["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(0.0714) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0714) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0714) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0714) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0714) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | null | {"circuits": [], "gradients": []} |
8401557330810100664 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 6, 7], [0, 3, 4, 7, 8], [1, 5], [1, 3, 4, 7, 8], [0, 3, 5], [0, 2, 4, 5, 7, 8], [8, 6], [0, 1, 2, 3, 4], [1, 2, 3, 4, 6], [3, 4, 6, 7], [1, 2, 3, 7, 8]]} | {"states": [121, 123], "expectation_value": -1.087391203607259, "params": [[-0.28290000000000004], [0.2773]], "bitstrings": ["110000110", "110000100"], "total_optimization_steps": 30, "probabilities": [0.005359307205641796, 0.005359839228699395], "optimization_time": 6.046939849853516} | 0.13333333333333336 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.13333333333333336 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8833333333333333, "smallest_bitstrings": ["110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0754) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0472) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.1415) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.0566) q[6];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [254, 1], "expectation_value": -0.8906175346148079, "params": [[0.07440000000000001], [-0.0697]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005597765273931667, 0.006205774723574136], "optimization_time": 1.9205148220062256} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1488) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.1116) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(-0.2232) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.1488) q[1];
cx q[2], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7118366004389908815 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 8], [1, 3], [8, 1, 6], [2, 4, 7], [3, 6], [2, 4, 6], [0, 5], [8, 7], [5, 7], [8, 2, 6], [8, 2, 3]]} | {"states": [205, 454], "expectation_value": -3.8710820299423943, "params": null, "bitstrings": ["100110010", "000111001"], "total_optimization_steps": 59, "probabilities": [0.06251406409243195, 0.8027569528789271], "optimization_time": 110.91123962402344} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000111001"]} | 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(1.5298) q[2];
ry(1.2292) q[1];
cry(-1.4327) q[1], q[3];
ry(1.4374) q[6];
cry(-1.2134) q[7], q[8];
ry(0.7576) q[7];
cry(-1.3258) q[7], q[5];
cry(1.4341) q[7], q[0];
cry(-0.6494) q[0], q[... | 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(1.5298) 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] = m... |
253d3995de007ce15800f0023018551d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [15, 1], "expectation_value": -1.6192379024733936, "params": [[0.0601, 0.0492, 0.0732], [-0.054400000000000004, -0.0362, -0.0531]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015638713501479325, 0.0178393647089115], "optimization_time": 3.2966670989990234} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0601) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0301) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1202) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.2104) q[6];
cx q[0], q[6];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4b4df5d05df608c0366af92253893227 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.763444315418049, "params": [0.0054, -0.0896, -0.0019, -0.11610000000000001, 0.0027, -0.14550000000000002, 0.004, -0.15130000000000002, 0.005, -0.1371, 0.0033, -0.1401, 0.005, -0.10210000000000001, 0.0016, -0.1432, 0.0039000000000000003, -0.1, 0.0039000000000000003, -0.11270000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 5 | 9 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0054) q[0];
rz(-0.0896) q[0];
rx(0.0027) q[1];
rz(-0.1455) q[1];
rx(0.005) q[2];
rz(-0.1371) q[2];
rx(0.005) q[3];
rz(-0.1021) q[3];
rx(0.0039) q[4];
rz(-0.1) q[4];
rx(0.0025) q[5];
rz(-0.1429) q[5];
rx(0.0018) q[6];
rz(-0.1473) q[6];
rx(0.0016) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4ff0017f2ce0a2d8b4ff532a90a490be | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [6, 22], "expectation_value": -6.007076325241614, "params": [[[0.6508, -0.0777], [-0.0086, 0.382], [0.1811, 0.29710000000000003], [0.0014, 0.4051], [0.7939, -0.0037], [0.2639, 0.09290000000000001], [0.8054, -0.0009000000000000001], [0.805, 0.0005], [0.0017000000000000001, -0.4385]], [[0.645, 0.0063], [-0.006... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011011011", "110111001", "100111101", "110011011", "011101011", "111110001", "111101001", "011110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6508) q[0];
rz(-0.0777) q[0];
rx(-0.0086) q[1];
rz(0.382) q[1];
rx(0.1811) q[2];
rz(0.2971) q[2];
rx(0.0014) q[3];
rz(0.4051) q[3];
rx(0.7939) q[4];
rz(-0.0037) q[4];
rx(0.2639) q[5];
rz(0.0929) q[5];
rx(0.8054) q[6];
rz(-0.0009) q[6];
rx(0.805) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5465826558882944770 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 5, 7], [8, 1, 10, 11], [2, 4, 6, 8, 9, 10, 11], [8, 3], [8, 0, 2], [0, 1, 4, 5, 7, 8, 9, 11], [9, 2, 3, 1], [0, 2, 3, 4, 5, 6, 11], [0, 1, 2, 3, 4, 6], [5, 6, 7, 8, 10, 11], [0, 1, 3, 4, 6, 7, 9, 10, 11], [1, 3, 5, 6, 7], [4, 5, 6, 7, 9, 10], [0... | {"states": [1790, 1786], "expectation_value": -2.5236582138697057, "params": [[[1.1905000000000001, -0.3904, 0.0055000000000000005, 0.0092], [0.7681, -0.39280000000000004, 0.3896, 0.008700000000000001], [1.1923000000000001, 0.0018000000000000002, 1.2002000000000002, 0.0045000000000000005], [1.1947, -0.0001, 0.9859, 0.0... | 0.12103174603174605 * (Z(0) @ Z(3)) + 0.12103174603174605 * (Z(4) @ Z(3)) + 0.15674603174603174 * (Z(4) @ Z(0)) + 0.12380952380952381 * (Z(5) @ Z(3)) + 0.19285714285714284 * (Z(5) @ Z(0)) + 0.19285714285714284 * (Z(5) @ Z(4)) + 0.11388888888888889 * (Z(7) @ Z(3)) + 0.18293650793650795 * (Z(7) @ Z(0)) + 0.13293650793650... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.017063492063492], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9313492063492057, "smallest_bitstrings": ["100100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.1905) q[0];
rz(-0.3904) q[0];
ry(0.7681) q[1];
rz(-0.3928) q[1];
ry(1.1923) q[2];
rz(0.0018) q[2];
ry(1.1947) q[3];
rz(-0.0001) q[3];
ry(1.1997) q[4];
rz(0.0161) q[4];
ry(0.8758) q[5];
rz(0.2974) q[5];
ry(1.1904) q[6];
rz(-0.0247) q[6];
ry(0.8251) 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": []} |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 14.011335372924805} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(1.5681) q[3];
ry(1.5486) q[5];
cry(-1.5706) q[5], q[0];
cry(-1.5486) q[5], q[2];
ry(-1.4447) q[4];
cry(-0.119) q[3], q[4];
cry(-0.0223) q[3], q[2];
cry(0.0112) q[3], q[5];
cry(-0.0002) 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-2070272192972975425 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 3, 4, 5], [0, 1, 5, 6], [1, 3, 4, 5, 6], [0, 2, 4, 5, 6], [1, 2, 3], [0, 3, 6], [0, 1, 4, 5], [1, 2, 4, 5], [0, 3, 4]]} | {"states": [45, 47], "expectation_value": -1.0840467027045642, "params": [[0.2497], [-0.2432]], "bitstrings": ["1010010", "1010000"], "total_optimization_steps": 30, "probabilities": [0.014349642527665246, 0.0143599394690644], "optimization_time": 1.4521963596343994} | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.35 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.35 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.2166666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["1010000"]} | 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(0.1082) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1498) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0499) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1332) q[4];
cx q[1], q[4];
cx q[0], q[4];
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... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 14], "expectation_value": -0.047811916350811196, "params": [[0.0668], [-0.0728]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06490340167231413, 0.06727444216669964], "optimization_time": 0.5160107612609863} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0668) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0668) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0668) q[2];
cx q[3], q[2];
rz(-0.1336) q[3];
rz(0) q[0];
rz(0) q[1];
rz(0) q[2];
h q[0];
rz(-0.1456) q[0];
h q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
rz(x1) q[3];
rz(x2)... | null | {"circuits": [], "gradients": []} |
-3517122334671635697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [1, 3], [3, 6], [0, 8], [8, 5], [1, 7], [1, 4], [6, 7], [1, 2], [3, 7], [8, 7]]} | {"states": [378, 350], "expectation_value": -2.9811411444832125, "params": null, "bitstrings": ["010000101", "010100001"], "total_optimization_steps": 86, "probabilities": [0.06765936311725464, 0.64238187770367], "optimization_time": 156.46490335464478} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + ... | 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": ["110001100", "001110001", "010100001", "001110011", "101011110", "110001110", "101111010", "010000101"]} | 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[7], q[8];
cry(-1.0342) q[4], q[1];
ry(1.0293) q[7];
cry(-0.8214) q[6], q[8];
cry(1.2629) q[7], q[5];
cry(1.2629) q[7], q[0];
cry(-0.3526) q[5], q[8];
cry(-1.2204) q[6], q[3]... | 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[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
66118b4a39d9f94415b36602b745f3db | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.02357921117608372, "params": [[0.038400000000000004], [-0.0274]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008059666712813043, 0.008093089235588467], "optimization_time": 1.6825451850891113} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0192) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0576) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0192) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0384) q[5];
cx q[1], q[5];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x1)... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.7516904285739443, "params": [[-0.076, -0.08650000000000001], [0.0737, 0.0795]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01345530766301839, 0.013948293806355429], "optimization_time": 2.39430570602417} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.076) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.152) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.038) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.076) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4343180264461205514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 11, 12], [9, 1], [8, 0], [9, 12, 6], [11, 9, 2, 10], [11, 7], [8, 12, 5, 6], [8, 9, 11], [0, 11, 12], [2, 4, 7], [0, 9, 2, 5], [3, 9, 11, 6], [8, 9, 5], [4, 5], [2, 4, 12], [0, 5, 7], [8, 3, 4, 12], [3, 5], [10, 12, 5, 7], [1, 10, 11], [1, 3], [0,... | {"states": [6031, 5903], "expectation_value": -6.8785254501768875, "params": [1.5751000000000002, 0.0026000000000000003, 1.5706, 0.0077, 0.013300000000000001, 0.8523000000000001, 0.18080000000000002, -0.0437, 1.5677, -0.002, 1.5692000000000002, 0.0047, 1.1431, 0.2876, 1.3433000000000002, -0.4033, 0.811, 0.0139000000000... | 0.3333333333333333 * (Z(8) @ Z(11)) + 0.3333333333333333 * (Z(12) @ Z(11)) + 0.3333333333333333 * (Z(12) @ Z(8)) + 0.3333333333333333 * (Z(9) @ Z(11)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(9) @ Z(12)) + 0.16666666666666666 * (Z(1) @ Z(11)) + 0.16666666666666666 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(9)) + 0.1666... | 8 | 13 | 1 | {"smallest_eigenvalues": [-7.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.249999999999997, "smallest_bitstrings": ["0100011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.5751) q[0];
rz(0.0026) q[0];
rx(0.0133) q[1];
rz(0.8523) q[1];
rx(1.5677) q[2];
rz(-0.002) q[2];
rx(1.1431) q[3];
rz(0.2876) q[3];
rx(0.811) q[4];
rz(0.0139) q[4];
rx(2.6282) q[5];
rz(0.4075) q[5];
rx(-0.0029) q[6];
rz(-1.7715) q[6];
rx(-0.0029) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [44, 42], "expectation_value": -0.42042695793666784, "params": [[-0.0661, -0.039400000000000004, -0.047], [0.0819, 0.063, 0.061200000000000004]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.021283504942182174, 0.022233612414738334], "optimization_time": 2.860885143... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "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[1], q[0];
rz(-0.0661) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0661) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0661) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.0661) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -1.1385716811637971, "params": [[-0.0709, -0.0777, -0.07680000000000001], [0.0656, 0.0723, 0.0709]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.026717475353198836, 0.031910004938872735], "optimization_time": 5.533370018005371} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0709) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0709) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0709) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.0709) q[5];
cx q[3], q[5];
cx q[2], 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] 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": []} |
1740398393227100453 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 6, 7, 8], [3, 4, 7], [0, 2, 3, 4, 5, 6, 8], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 2, 4, 6, 7], [0, 1, 2, 3, 4, 5, 6], [1, 2, 4, 5, 7, 8]]} | {"states": [487, 431], "expectation_value": -0.9104128963499213, "params": [[-0.46], [0.45680000000000004]], "bitstrings": ["000011000", "001010000"], "total_optimization_steps": 50, "probabilities": [0.005911645152759061, 0.005976941542727317], "optimization_time": 6.735025882720947} | 0.1226190476190476 * (Z(0) @ Z(2)) + 0.13809523809523808 * (Z(4) @ Z(2)) + 0.10476190476190475 * (Z(4) @ Z(0)) + 0.1226190476190476 * (Z(5) @ Z(2)) + 0.08928571428571427 * (Z(5) @ Z(0)) + 0.10476190476190475 * (Z(5) @ Z(4)) + 0.1226190476190476 * (Z(6) @ Z(2)) + 0.1226190476190476 * (Z(6) @ Z(0)) + 0.10476190476190475 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4297619047619046], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4178571428571427, "smallest_bitstrings": ["001010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.1128) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.127) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0964) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.1128) q[5];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9018084878276581674 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 3], [0, 2]]} | {"states": [13, 7], "expectation_value": -1.3449506149011068, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 27, "probabilities": [0.05537713729470504, 0.7831782156395142], "optimization_time": 12.06494665145874} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["11000", "10010", "00111", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[0];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[4];
cry(-0.7092) q[2], q[0];
cry(1.1516) q[4], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4694) q[2], q[3];
cry(0.4386) q[2], q[4];
ry(-0.3186) q[0];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
b870bf177a3da6a6ab4722ca2196f1d4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 104], "expectation_value": -5.996398041568156, "params": null, "bitstrings": ["1010101", "0010111"], "total_optimization_steps": 31, "probabilities": [0.0663519663414827, 0.9303270202938851], "optimization_time": 34.372315645217896} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
ry(-1.4449) q[6];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[0], q[5];
ry(0.7003) q[0];
cry(-0.1259) q[3], q[6];
ry(-0.4549) q[5];
cry(0.4962) q[3], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
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": 30.259154558181763} | -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 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "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... |
7027846492532526606 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 5], [0, 1, 2, 3, 4, 6, 7, 9], [9, 5], [8, 2, 7]]} | {"states": [938, 939], "expectation_value": -0.2594612632091118, "params": [0.8059000000000001, 0.018500000000000003, 0.7952, 0.0036000000000000003, 0.797, 0.0366, 0.7933, 0.0023, 0.8033, 0.042, 0.8057000000000001, 0.001, 0.7985, 0.136, 0.7939, 0.0082, 0.8019000000000001, 0.1063, 0.8054, 0.008700000000000001, 0.7975, 0... | 0.1845238095238095 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(1)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.0178571428... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.345238095238095, "smallest_bitstrings": ["0001010100", "0000110100", "0010011000", "0010110000", "00110... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8059) q[0];
rz(0.0185) q[0];
rx(0.797) q[1];
rz(0.0366) q[1];
rx(0.8033) q[2];
rz(0.042) q[2];
rx(0.7985) q[3];
rz(0.136) q[3];
rx(0.8019) q[4];
rz(0.1063) q[4];
rx(0.7975) q[5];
rz(0.0366) q[5];
rx(0.8045) q[6];
rz(0.0355) q[6];
rx(0.8063) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4d63f4ebf529d16921552ca8fd853591 | 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": [159, 155], "expectation_value": -77.79569403053917, "params": [0.48660000000000003, -0.4284, 1.4924000000000002, -0.0033, -0.0028, 1.0543, -0.002, 0.8826, 1.4909000000000001, -0.0022, 1.4953, -0.1456, 0.7646000000000001, -0.2968, 1.4975, -0.0339, 1.4913, -0.0183, 0.4813, 0.0029000000000000002, 1.49450000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 6.5 * Z(0) + 17.5 * Z(1) + 21.0 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4866) q[0];
rz(-0.4284) q[0];
rx(1.4924) q[1];
rz(-0.0033) q[1];
rx(-0.0028) q[2];
rz(1.0543) q[2];
rx(-0.002) q[3];
rz(0.8826) q[3];
rx(1.4909) q[4];
rz(-0.0022) q[4];
rx(1.4953) q[5];
rz(-0.1456) q[5];
rx(0.7646) q[6];
rz(-0.2968) q[6];
rx(1.4975) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
9c66622699bfa14442b166f8586f4ac4 | 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": 4}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 9}, {"capac... | {"states": [91, 473], "expectation_value": -1.5087056390870954, "params": [[0.0028, -0.0013000000000000002, -0.0006000000000000001, 0.0082, 0.0036000000000000003, -0.0019, 1.29, 0.7858, 0.0016, -0.0013000000000000002], [0.0014, 0.0035, -1.2639, 1.2638, 0.0023, 0.5958, -0.0027, -0.0014, 0.7812, -1.2642], [0.0014, 0.0082... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + 1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(7)) + -0.75 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(3)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(... | 9 | 10 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000100110", "1010100110", "1000100010", "1010100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0028) q[0];
rx(-0.0013) q[1];
rx(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 264.58665561676025} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | 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(0.4397) q[2];
cry(0.7951) q[6], q[2];
cry(0.5504) q[5], q[2];
cry(1.382) q[8], q[6];
ry(1.5708) q[1];
cry(1.2175) q[6], q[8];
cry(1.4411) q[7], q[5];
cry(-0.6101) q[1], q[2];
cry(0.3105... | null | {"source": 0, "sink": 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(0.4397) 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] = m... |
6272802841015324019 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]} | {"states": [77, 45], "expectation_value": -1.3910902276108092, "params": null, "bitstrings": ["0110010", "1010010"], "total_optimization_steps": 40, "probabilities": [0.04372994537737626, 0.798760483688142], "optimization_time": 36.82651400566101} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4999999999999996, "smallest_bitstrings": ["0101000", "1010010", "1000101"]} | 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(1.2292) q[3];
cry(-1.0342) q[1], q[0];
ry(0.971) q[1];
ry(-0.6611) q[0];
cry(0.432) q[3], q[1];
cry(-0.2889) q[3], q[0];
cry(0.2657) q[1], q[3];
cry(-0.4027) q[4], q[5];
cry(-0.4027) q[2], q[6];
ry(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(1.2292) 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", "... |
d33b4d23e29cf04cf64885f10cef83ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [133, 389], "expectation_value": -11.021438748551487, "params": [[0.0021000000000000003, 0.32130000000000003, 1.2198, -0.0018000000000000002, 0.0436, 0.0018000000000000002, -0.0201, 1.5805, 0.0031000000000000003, 1.5835000000000001], [0.0024000000000000002, 1.6049, 1.6083, -0.0018000000000000002, -0.0478, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0021) q[0];
ry(0.3213) q[1];
ry(1.2198) q[2];
ry(-0.0018) q[3];
ry(0.0436) q[4];
ry(0.0018) q[5];
ry(-0.0201) q[6];
ry(1.5805) q[7];
ry(0.0031) q[8];
ry(1.5835) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
6abfcea40fcfb2aee6e60541a981751a | 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": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [91, 127], "expectation_value": -0.21971752914211806, "params": [[0.0577, 0.061900000000000004, 0.054400000000000004, 0.060200000000000004], [-0.0529, -0.0618, -0.0459, -0.049800000000000004]], "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005963000900702049, 0.0... | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0289) q[0];
cx q[7], q[0];
cx q[7], q[6];
rz(-0.0289) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.0577) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(-0.0289) q[2];
cx q[6], q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
32c52c2bcf66ad7577bb97e9bc339d3a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -29.23355815323584, "params": [[[0.6035, 0.0292], [0.0, 0.027], [-0.0022, 0.0024000000000000002], [-0.0044, -0.0004], [-0.0076, 0.002], [-0.0064, -0.0027], [0.0027, -0.0002], [0.00030000000000000003, 0.0023], [-0.003, 0.0026000000000000003], [0.0012000000000000001, -0.0023]... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(1)) + -0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-29.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6035) q[0];
ry(0) q[1];
ry(-0.0022) q[2];
ry(-0.0044) q[3];
ry(-0.0076) q[4];
ry(-0.0064) q[5];
ry(0.0027) q[6];
ry(0.0003) q[7];
ry(-0.003) q[8];
ry(0.0012) q[9];
ry(-0.0191) q[10];
ry(-0.032) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
2d66a63516707ef6fa08689003d445e4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.13735632295771458, "params": [[0.0335, -0.0137, -0.06770000000000001], [-0.0466, -0.040100000000000004, 0.0538]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.018003827650991823, 0.018338159266567438], "optimization_time": 3.6068987... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0168) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0335) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.0503) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.067) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a617cd4648156ddc77f993201a7a952c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.54047465925617, "params": [[[0.3266, 0.28500000000000003], [0.3629, 0.28390000000000004], [0.3678, 0.2836], [0.3745, -0.2831], [0.38170000000000004, 0.28250000000000003], [0.8943000000000001, 0.0013000000000000002], [0.8964000000000001, 0.0012000000000000001], [0.8675, 0.0022... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3266) q[0];
rz(0.285) q[0];
rx(0.3629) q[1];
rz(0.2839) q[1];
rx(0.3678) q[2];
rz(0.2836) q[2];
rx(0.3745) q[3];
rz(-0.2831) q[3];
rx(0.3817) q[4];
rz(0.2825) q[4];
rx(0.8943) q[5];
rz(0.0013) q[5];
rx(0.8964) q[6];
rz(0.0012) q[6];
rx(0.8675) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
84c2e7811b337ff89f1f9fa11193e77f | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -9.792769444160383, "params": [-0.008, -0.0085, 0.008700000000000001, 0.0025, -0.0007, 0.0044, 0.1975, 0.19820000000000002, 0.0038, 0.0034000000000000002, 0.0032, 0.0066, 0.0047, 0.0017000000000000001, 0.0037, 0.0013000000000000002, 0.1582, 0.1683, 0.0026000000000000003, 0.0017... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(10)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(10)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(11)) + -0.7... | 14 | 12 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["111011111111", "111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.008) q[0];
ry(0.0087) q[1];
ry(-0.0007) q[2];
ry(0.1975) q[3];
ry(0.0038) q[4];
ry(0.0032) q[5];
ry(0.0047) q[6];
ry(0.0037) q[7];
ry(0.1582) q[8];
ry(0.0026) q[9];
ry(0.0049) q[10];
ry(-0.0001) q[11];
crx(0.1386) q[11], q[0];
crx(-0.1202) 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] 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": 11} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [75, 77], "expectation_value": -1.3788498368261928, "params": [[[0.6567000000000001, 0.096], [0.2301, 0.054], [0.32480000000000003, -0.3267], [0.3719, 0.8034], [0.4384, 0.7887000000000001], [0.7815000000000001, 0.8029000000000001], [0.7961, 0.797]], [[0.6574, 0.3518], [0.0804, 0.5486], [0.8033, -0.7793], [0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 15 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["0110010", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.6567) q[0];
ry(0.2301) q[1];
ry(0.3248) q[2];
ry(0.3719) q[3];
ry(0.4384) q[4];
ry(0.7815) q[5];
ry(0.7961) 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(0.096) q[0];
ry(0.054) q[1];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1424095660941317171 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 6, 8, 9, 10], [8, 5, 7], [0, 1, 2, 3, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 11], [0, 3, 4, 5, 10, 11], [0, 1, 2, 7, 9], [2, 3, 4, 5, 7, 9, 11], [0, 5, 7], [10, 5, 7], [0, 9, 2, 4], [0, 1, 2, 3, 5, 8, 9, 11], [8, 9, 2, 7], [0, 3, 4, 8, 9, 11], [2,... | {"states": [3994, 3995], "expectation_value": -3.790698369746401, "params": [[[3.1387, 0.0024000000000000002], [3.1439000000000004, 0.008400000000000001], [1.7392, 0.0055000000000000005], [3.1444, 0.0008], [3.1392, 0.0019], [0.48700000000000004, 0.0088], [0.4842, 0.0036000000000000003], [3.1396, 0.0028], [3.1446, 0.002... | 0.15119047619047618 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.1738095238095238 * (Z(3) @ Z(0)) + 0.03571428571428571 * (Z(4) @ Z(1)) + 0.18571428571428572 * (Z(4) @ Z(0)) + 0.14166666666666666 * (Z(4) @ Z(3)) + 0.05952380952380952 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.182142857142857... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.185714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.18095238095238, "smallest_bitstrings": ["000001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1387) q[0];
rz(0.0024) q[0];
rx(3.1439) q[1];
rz(0.0084) q[1];
rx(1.7392) q[2];
rz(0.0055) q[2];
rx(3.1444) q[3];
rz(0.0008) q[3];
rx(3.1392) q[4];
rz(0.0019) q[4];
rx(0.487) q[5];
rz(0.0088) q[5];
rx(0.4842) q[6];
rz(0.0036) q[6];
rx(3.1396) 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": []} |
5f517fa5ae2a3432c923e59e3a05558a | 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": [1874, 850], "expectation_value": -53.989944934923344, "params": [1.5262, 0.0004, 2.2084, 0.0045000000000000005, 2.2047000000000003, 0.0071, 0.0031000000000000003, 0.007, 2.206, 0.0068000000000000005, 1.5213, 0.0076, 2.2069, 0.0019, -0.002, 0.006200000000000001, 1.1163, 0.0019, 2.2119, 0.006500000000000001, ... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 13.0 * Z(1) + 4.0 * Z(0) + -5.5 * Z(3) + 4.0 * Z(5) + 6.0 * Z(4) + -6.5 * Z(7) + 0.0 ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["10010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5262) q[0];
rz(0.0004) q[0];
rx(2.2084) q[1];
rz(0.0045) q[1];
rx(2.2047) q[2];
rz(0.0071) q[2];
rx(0.0031) q[3];
rz(0.007) q[3];
rx(2.206) q[4];
rz(0.0068) q[4];
rx(1.5213) q[5];
rz(0.0076) q[5];
rx(2.2069) q[6];
rz(0.0019) q[6];
rx(-0.002) 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, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | 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": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 60.76670837402344} | 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];
cry(-1.5708) q[5], q[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8231) q[4];
cry(-1.5708) q[3], q[2];
ry(0.8108) q[3];
ry(-0.4038) q[1];
ry(-0.3329) q[0];
ry(-0.2881) q[2];
cry(0.3811) q[4], q[5];
cry(0.37... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -5.565561851789761, "params": [[0.1312, -0.0687, -0.1448, -0.1563], [-0.1497, -0.138, 0.10830000000000001, 0.1567]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 20, "probabilities": [0.06298654427625476, 0.0679481187974255], "optimization_time": 7.210433483... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | 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(-0.1968) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0656) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2624) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2624) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
6ba4ec5ea3c91f3cfcc18a5393b7a297 | 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": [1925, 1413], "expectation_value": -93.52721921184403, "params": [[[0.7809, 0.0794], [0.6749, 0.039400000000000004], [1.4946000000000002, -0.0162], [1.5, -0.0016], [0.277, -0.0015], [-1.0362, -0.038400000000000004], [-0.0268, 0.0465], [0.18050000000000002, -0.6768000000000001], [-0.0864, 1.3266], [0.2524, 1.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(9) @ Z(10)) + 18.5 * Z(0) + 15.0 * Z(2) + 16.... | 15 | 11 | 2 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7809) q[0];
ry(0.6749) q[1];
ry(1.4946) q[2];
ry(1.5) q[3];
ry(0.277) q[4];
ry(-1.0362) q[5];
ry(-0.0268) q[6];
ry(0.1805) q[7];
ry(-0.0864) q[8];
ry(0.2524) q[9];
ry(1.4744) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
0544aa413865c48491d65699e643b115 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [16, 272], "expectation_value": -17.17805080386236, "params": [-0.0038, -0.1859, -0.0037, 0.0035, 0.0026000000000000003, 0.2914, -0.0025, 0.009300000000000001, 0.8425, -0.7547, -0.9077000000000001, 0.0015, 0.0028, 0.1698, -0.0028, 0.009600000000000001, -0.0025, 0.2957, 0.0025, 0.0064, -0.0025, 0.3004, 0.0024... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(9)) + 2.5 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(9)) + -0.75 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11011101111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0038) q[0];
rz(-0.1859) q[0];
rx(0.0026) q[1];
rz(0.2914) q[1];
rx(0.8425) q[2];
rz(-0.7547) q[2];
rx(0.0028) q[3];
rz(0.1698) q[3];
rx(-0.0025) q[4];
rz(0.2957) q[4];
rx(-0.0025) q[5];
rz(0.3004) q[5];
rx(-0.9208) q[6];
rz(-0.7722) q[6];
rx(-0.0025) 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": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [8, 9], "expectation_value": -0.011933735859736977, "params": [[[1.6427, 0.006200000000000001], [1.4876, 0.003], [1.4814, 0.0027], [1.6375000000000002, 0.0081]]], "bitstrings": ["0111", "0110"], "total_optimization_steps": 170, "probabilities": [0.0737719800154592, 0.08430036401336324], "optimization_time": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(1.6427) q[0];
rz(0.0062) q[0];
rx(1.4876) q[1];
rz(0.003) q[1];
rx(1.4814) q[2];
rz(0.0027) q[2];
rx(1.6375) q[3];
rz(0.0081) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [146, 150], "expectation_value": -0.08602623600182913, "params": [0.2989, 0.0032, 0.2877, 0.0233, 0.28200000000000003, -0.0459, 0.259, -0.0483, 0.253, 0.0463, 0.21130000000000002, 0.0533, 0.302, -0.011600000000000001, 0.2995, -0.01, 0.2878, -0.058100000000000006, 0.2644, -0.0585, 0.2959, 0.0135, 0.2835000000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 6 | 8 | 3 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "10101010", "01011010", "01010101", "10010110", "01101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2989) q[0];
rz(0.0032) q[0];
rx(0.282) q[1];
rz(-0.0459) q[1];
rx(0.253) q[2];
rz(0.0463) q[2];
rx(0.302) q[3];
rz(-0.0116) q[3];
rx(0.2878) q[4];
rz(-0.0581) q[4];
rx(0.2959) q[5];
rz(0.0135) q[5];
rx(0.2964) q[6];
rz(-0.0137) q[6];
rx(0.2692) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
41de7801c50967375c7a02d55d1f16ad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [16367, 16335], "expectation_value": -20.585235947422984, "params": [[[-0.0028, 2.7081], [-0.0035, -0.0028], [-0.0031000000000000003, -0.0032], [-0.003, -0.003], [-0.0033, -0.0032], [-0.0028, -0.003], [-0.0018000000000000002, -0.0023], [-0.0025, 0.0019], [-1.6447, -0.0027], [1.6556000000000002, -0.0023], [-0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(13)) + 0.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-22.499999999999954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.49999999999986, "smallest_bitstrings": ["00000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0028) q[0];
ry(-0.0035) q[1];
ry(-0.0031) q[2];
ry(-0.003) q[3];
ry(-0.0033) q[4];
ry(-0.0028) q[5];
ry(-0.0018) q[6];
ry(-0.0025) q[7];
ry(-1.6447) q[8];
ry(1.6556) q[9];
ry(-0.0028) q[10];
ry(-0.0031) q[11];
ry(-0.0027) q[12];
ry(0.0023) q[13];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} |
29c6591e264906b86f7681b957d10de4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3},... | {"states": [1784, 1656], "expectation_value": -13.652901929113067, "params": [[0.1188], [-0.3442]], "bitstrings": ["00100000111", "00110000111"], "total_optimization_steps": 40, "probabilities": [0.012208938518292191, 0.012605973844578509], "optimization_time": 3.6875159740448} | -2.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(0)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(7)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00110000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(-0.594) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1188) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.594) q[5];
cx q[0], q[5];
cx q[4], q[7];
rz(0.1188) 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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4... | {"node": 6} | {"circuits": [], "gradients": []} |
2354991019913608273 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5, 6, 7, 8], [4, 7], [0, 2, 3, 5, 6], [8, 1, 2]]} | {"states": [476, 252], "expectation_value": -0.8669610582063936, "params": [[0.9553], [-0.40490000000000004]], "bitstrings": ["000100011", "100000011"], "total_optimization_steps": 100, "probabilities": [0.00994162442618993, 0.009941624426189934], "optimization_time": 3.9050815105438232} | 0.05 * (Z(1) @ Z(5)) + 0.1 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(8) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.2333333333333334, "smallest_bitstrings": ["100010001", "100010101", "110011000", "100000011", "10001100... | 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[5], q[1];
rz(0.0955) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.1911) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.0955) q[6];
cx q[1], q[6];
cx q[5], q[7];
rz(0.0955) q[7];
cx q[5], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[5],... | null | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 57.27805972099304} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[6];
cry(-1.3016) q[4], q[2];
ry(1.3016) q[5];
cry(-1.298) q[0], q[3];
ry(1.015) q[1];
cry(-0.4699) q[0], q[2];
cry(0.8316) q[0], q[4];
cry(-0.4255) q[4], q[3];
cry(0.8476) q[4], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [40, 56], "expectation_value": -2.096043003591151, "params": [0.8037000000000001, 0.0035, 0.7998000000000001, 0.0035, 0.8049000000000001, 0.002, 0.0023, 0.5948, 0.0024000000000000002, 0.5897, 0.0024000000000000002, 0.5958, 0.8095, 0.0014, 0.808, 0.0047, 0.8081, 0.005200000000000001, 0.0023, 0.007200000000000... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8037) q[0];
rz(0.0035) q[0];
rx(0.7998) q[1];
rz(0.0035) q[1];
rx(0.8049) q[2];
rz(0.002) q[2];
rx(0.0023) q[3];
rz(0.5948) q[3];
rx(0.0024) q[4];
rz(0.5897) q[4];
rx(0.0024) q[5];
rz(0.5958) q[5];
crz(-0.5758) q[5], q[0];
crz(-0.5789) q[4], q[5];
crz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
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