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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 50], "expectation_value": -4.499937482234164, "params": null, "bitstrings": ["000111", "001101"], "total_optimization_steps": 26, "probabilities": [1.6356494447410052e-05, 0.9999687417661157], "optimization_time": 15.893229961395264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 1 | {"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];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[2];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[4];
cry(0.1186) q[4], q[1];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9130309592135944624 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4, 5, 7, 8], [0, 2, 4], [8, 2, 7], [1, 2, 5], [9, 3, 4], [0, 1, 7, 8, 9], [8, 9, 3, 1], [1, 4, 5, 6, 8], [0, 1, 4, 9], [2, 5, 6, 8, 9], [8, 1, 2, 3], [8, 1, 4, 7], [1, 3, 5, 6, 7, 8], [1, 2, 7]]} | {"states": [429, 427], "expectation_value": -3.1049940806980523, "params": [-0.0022, -0.0038, 1.3693, 1.7677, 1.3117, 1.8349000000000002, 1.5757, 1.5889, 1.5511000000000001, 1.5947, 1.6002, 1.528, 1.6698000000000002, 1.6184, 2.1852, 2.5738000000000003, 0.7699, 2.2749, 1.5681, 1.5682, 0.0026000000000000003, 0.8828, 2.25... | 0.21666666666666667 * (Z(3) @ Z(4)) + 0.1 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.18333333333333335 * (Z(8) @ Z(4)) + 0.25 * (Z(8) @ Z(3)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.3833333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.366666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2333333333333343, "smallest_bitstrings": ["1001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0022) q[0];
ry(1.3693) q[1];
ry(1.3117) q[2];
ry(1.5757) q[3];
ry(1.5511) q[4];
ry(1.6002) q[5];
ry(1.6698) q[6];
ry(2.1852) q[7];
ry(0.7699) q[8];
ry(1.5681) q[9];
crx(0.0026) q[9], q[0];
crx(1.0532) q[8], q[9];
crx(0.5183) q[7], q[8];
crx(0.6232) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 10.494192123413086} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[4];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[2];
cry(-0.1259) q[1], q[4];
cry(0.1248) q[1], q[0];
cry(0.1242) q[0], q[1];
c[0] = measure q[0];
c[1] = measur... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
c27e04a1b516da945dec2e0c25bb156f | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.800899166497523, "params": [0.0037, 0.8405, 0.8377, -0.008400000000000001, -0.0026000000000000003, 1.3832, -0.0016, 0.3547, -0.0026000000000000003, 0.7905000000000001, -0.0025, 1.3825, -0.0026000000000000003, 1.3976000000000002, -0.0024000000000000002, 1.3258, 1.5728, -0.00... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0037) q[0];
rz(0.8405) q[0];
rx(0.8377) q[1];
rz(-0.0084) q[1];
rx(-0.0026) q[2];
rz(1.3832) q[2];
rx(-0.0016) q[3];
rz(0.3547) q[3];
rx(-0.0026) q[4];
rz(0.7905) q[4];
rx(-0.0025) q[5];
rz(1.3825) q[5];
rx(-0.0026) q[6];
rz(1.3976) q[6];
rx(-0.0024) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.09484813060555487, "params": [[0.049800000000000004], [-0.0393]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008335853869296864, 0.008396839484586771], "optimization_time": 2.6549837589263916} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0249) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0498) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0498) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0747) q[1];
cx q[3], q[1];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
eae8cd3fdd6c48bfe81a3803c36d609c | 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": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [337, 371], "expectation_value": -19.90819577385131, "params": null, "bitstrings": ["1010101110", "1010001100"], "total_optimization_steps": 100, "probabilities": [0.14142317789306816, 0.5129324423086077], "optimization_time": 295.8637297153473} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"]} | 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(-1.4894) q[7];
ry(1.5708) q[5];
ry(-1.5708) q[6];
cry(-1.5709) q[9], q[0];
ry(0.971) q[9];
ry(-1.5708) q[2];
cry(0.6853) q[5], q[0];
cry(-1.172) q[8], q[0];
cry(-0.586) q[4], ... | 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(-1.4894) 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... |
9551046ccc9dd029d28dbd33e8ca0f1e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [20, 98], "expectation_value": -0.20247983599031308, "params": [[0.062400000000000004], [-0.0483]], "bitstrings": ["1101011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.008439233284639488, 0.008632442104878], "optimization_time": 3.0291991233825684} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0624) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0624) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0624) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0624) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [859, 830], "expectation_value": -0.4916444476694141, "params": [[0.0702, 0.06430000000000001, 0.0743, 0.0637], [-0.0811, -0.06620000000000001, -0.0777, -0.068]], "bitstrings": ["0010100100", "0011000001"], "total_optimization_steps": 10, "probabilities": [0.002537111214751697, 0.0025371112147516976], "optim... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"]} | 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(0.0351) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0351) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0351) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8868119259763015765 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [14, 46], "expectation_value": -1.7081343583871011, "params": null, "bitstrings": ["110001", "010001"], "total_optimization_steps": 31, "probabilities": [0.43617628165933164, 0.4363280216011345], "optimization_time": 26.79905891418457} | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.2292) q[3];
cry(-1.0342) q[4], q[1];
cry(-1.0207) q[2], q[5];
ry(1.0397) q[2];
ry(-0.7064) q[5];
cry(0.3942) q[3], q[2];
ry(0.7003) q[4];
cry(-0.799) q[2], q[1];
cry(0.6819) q[2], q[4];
ry(-0.1872) q[1];
cry... | 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(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
3341929097840712087 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [1, 6], [2, 4, 6], [0, 3], [0, 6], [5, 6]]} | {"states": [102, 25], "expectation_value": -0.06354726822948431, "params": [[0.07680000000000001], [-0.07680000000000001]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.008778489745628277, 0.008840731365127696], "optimization_time": 0.5120744705200195} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(2) + 0.0 * Z(1) + 0.16666666666666674 * Z(6) + 0.16666666666666666 * Z(4... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(0.0768) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(0.0256) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(0.0768) q[6];
cx q[1], q[6];
cx q[2], q[4];
rz(0.0256) q[4];
cx q[2], q[4];
cx q[6], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(x1) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
37b183b4dc70145272a31a80cccd7f15 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -10.769775861797891, "params": [0.0057, 0.2554, 0.0024000000000000002, 0.5956, 0.007200000000000001, 0.0088, 0.0024000000000000002, -0.5968, 0.0027, 0.5730000000000001, 0.0025, -0.521, 0.0028, 0.5858, 0.802, 0.005200000000000001, 0.0018000000000000002, 0.0032, 0.00240000000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 3 | 8 | 2 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0057) q[0];
rz(0.2554) q[0];
rx(0.0024) q[1];
rz(0.5956) q[1];
rx(0.0072) q[2];
rz(0.0088) q[2];
rx(0.0024) q[3];
rz(-0.5968) q[3];
rx(0.0027) q[4];
rz(0.573) q[4];
rx(0.0025) q[5];
rz(-0.521) q[5];
rx(0.0028) q[6];
rz(0.5858) q[6];
rx(0.802) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
0b4befd1b6021b98538c021e6b01d7d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [62, 30], "expectation_value": -1.8300229697024788, "params": [0.0057, -0.0016, 0.29100000000000004, 0.2805, 0.3902, 0.3735, 0.40700000000000003, 0.4058, 0.40340000000000004, 0.3967, 0.4045, 0.40850000000000003, 0.4042, 0.4006, 0.0026000000000000003, -0.0001, -0.0011, 0.006200000000000001, 0.2788, 0.2707, 0.... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(3) @ Z(7) @ Z(5)) ... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["11001001", "11000011", "11100001", "10101001", "10110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0057) q[0];
ry(0.291) q[1];
ry(0.3902) q[2];
ry(0.407) q[3];
ry(0.4034) q[4];
ry(0.4045) q[5];
ry(0.4042) q[6];
ry(0.0026) q[7];
crx(-0.2398) q[7], q[0];
crx(0.0019) q[6], q[7];
crx(0.3725) q[5], q[6];
crx(0.389) q[4], q[5];
crx(0.0774) q[3], q[4];
crx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
295827ef8e8bc1a59c2d5aefad74f913 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.864822863839436, "params": [-0.0033, 0.009000000000000001, 0.0022, 0.006, 0.0027, 0.00030000000000000003, 0.0023, 0.0077, 0.0026000000000000003, 0.0036000000000000003, 0.0025, 0.0049, 0.0024000000000000002, 0.006200000000000001, 0.0025, 0.007, -0.0026000000000000003, 0.006, 1... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3)... | 3 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.009) q[0];
rx(0.0022) q[1];
rz(0.006) q[1];
rx(0.0027) q[2];
rz(0.0003) q[2];
rx(0.0023) q[3];
rz(0.0077) q[3];
rx(0.0026) q[4];
rz(0.0036) q[4];
rx(0.0025) q[5];
rz(0.0049) q[5];
rx(0.0024) q[6];
rz(0.0062) q[6];
rx(0.0025) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
6466653603989313711 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 2], [2, 7], [4, 5], [5, 6], [8, 3], [0, 8], [9, 2], [0, 6], [2, 5], [8, 7], [0, 9], [10, 5], [0, 7], [2, 10], [9, 5], [2, 3], [1, 11], [8, 9], [0, 11], [1, 6], [4, 6], [10, 6], [0, 5], [8, 11], [8, 6], [1, 9], [8, 10], [9, 3], [3, 6], [10, 3]]} | {"states": [3722, 373], "expectation_value": -0.24474805129820404, "params": [[0.0733], [-0.0574]], "bitstrings": ["000101110101", "111010001010"], "total_optimization_steps": 10, "probabilities": [0.0003062320149283083, 0.0003062320149283083], "optimization_time": 21.300249338150024} | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["111111001000", "110101001000", "001000110111", "110111001000", "000101110101", "000000110111", "000001110111", "111010001010", "... | 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[8];
rz(0.0733) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(0.0733) q[7];
cx q[2], q[7];
cx q[8], q[7];
rz(0.0733) q[7];
cx q[8], q[7];
cx q[2], q[5];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[8], q[7];... | null | {"circuits": [], "gradients": []} |
e6d4bf8bab6d393f2c150724510f187b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -16.806077251673177, "params": [-0.012700000000000001, -0.0145, 0.0024000000000000002, 0.0046, 0.20270000000000002, 0.19770000000000001, 0.0033, -0.0017000000000000001, -0.0034000000000000002, 0.0049, 0.0007, 0.0008, -0.003, 0.0057, 0.004, 0.0015, 0.0041, 0.0026000000000000003,... | -0.25 * (Z(0) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(10)) + -1.25 * (Z(8) @ Z(7)) + -2.75 * (Z(8) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(8)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z... | 14 | 11 | 4 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0127) q[0];
ry(0.0024) q[1];
ry(0.2027) q[2];
ry(0.0033) q[3];
ry(-0.0034) q[4];
ry(0.0007) q[5];
ry(-0.003) q[6];
ry(0.004) q[7];
ry(0.0041) q[8];
ry(0.0035) q[9];
ry(0.003) q[10];
crx(0.1618) q[10], q[0];
crx(0.1662) q[9], q[10];
crx(0.1618) 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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
beaa6cd1eb468409e2c2ed885f740060 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"sour... | {"states": [126, 62], "expectation_value": -3.31021586678781, "params": [0.004, -0.4147, 0.1285, -0.37320000000000003, 0.5673, 0.1877, 0.7985, 0.0078000000000000005, 0.8063, 0.0015, 0.8067000000000001, 0.0026000000000000003, 0.809, 0.0056, 0.8064, 0.0119, 0.2844, 0.20550000000000002, 0.0058000000000000005, -0.2487, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(2) + -1.5 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(8) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 4 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000001", "110000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.004) q[0];
rz(-0.4147) q[0];
rx(0.1285) q[1];
rz(-0.3732) q[1];
rx(0.5673) q[2];
rz(0.1877) q[2];
rx(0.7985) q[3];
rz(0.0078) q[3];
rx(0.8063) q[4];
rz(0.0015) q[4];
rx(0.8067) q[5];
rz(0.0026) q[5];
rx(0.809) q[6];
rz(0.0056) q[6];
rx(0.8064) 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": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 78.96136736869812} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[6];
ry(-1.5708) q[3];
cry(-1.57) q[7], q[0];
ry(1.5681) q[5];
cry(1.2279) q[2], q[7];
cry(1.3023) q[7], q[2];
cry(1.5543) q[2], q[4];
cry(1.562) q[5], q[1];
cry(-0.3926) q[2], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [66, 98], "expectation_value": -2.6008545947479664, "params": [[[0.14780000000000001, -0.0018000000000000002], [0.5985, 0.004200000000000001], [0.2627, -0.0049], [-0.030100000000000002, -0.0014], [-0.0149, 0.395], [0.5073, 0.5966], [0.18560000000000001, -0.041]], [[0.3866, -0.0008], [0.6033000000000001, -0.0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 15 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1011100", "0111001", "1001110", "0011101", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.1478) q[0];
ry(0.5985) q[1];
ry(0.2627) q[2];
ry(-0.0301) q[3];
ry(-0.0149) q[4];
ry(0.5073) q[5];
ry(0.1856) 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(-0.0018) q[0];
ry(0.0042) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1115722780576075044 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [0, 7], [1, 7], [1, 4], [2, 6], [0, 3]]} | {"states": [198, 228], "expectation_value": -0.06544291343351476, "params": [[0.0766], [-0.0724]], "bitstrings": ["00111001", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004440275278488523, 0.004440275278488523], "optimization_time": 1.2865703105926514} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011011", "11000110", "11100100", "00111001"]} | 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[5], q[4];
rz(0.0766) q[4];
cx q[5], q[4];
cx q[7], q[0];
rz(0.0766) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(0.0766) q[1];
cx q[4], q[1];
cx q[7], q[1];
rz(0.0766) q[1];
cx q[7], q[1];
cx q[6],... | 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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} |
5140370187954014886 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 12], [8, 9], [10, 12], [1, 3], [1, 7], [1, 6], [8, 12], [4, 5], [11, 3], [4, 7], [0, 5], [1, 2]]} | {"states": [6427, 6411], "expectation_value": -0.13201045441272474, "params": [0.8606, 0.8565, 0.8605, 0.861, 0.7055, 0.7028, 0.7130000000000001, 0.7136, 0.8637, 0.8617, 0.7177, 0.7165, 0.7101000000000001, 0.7089000000000001, 0.6995, 0.7092, 0.7289, 0.7224, 0.8524, 0.8511000000000001, 0.7110000000000001, 0.7173, 0.8617... | 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(12) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(9) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011011110100", "1100100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8606) q[0];
ry(0.8605) q[1];
ry(0.7055) q[2];
ry(0.713) q[3];
ry(0.8637) q[4];
ry(0.7177) q[5];
ry(0.7101) q[6];
ry(0.6995) q[7];
ry(0.7289) q[8];
ry(0.8524) q[9];
ry(0.711) q[10];
ry(0.8617) q[11];
ry(0.8567) q[12];
crz(0.0112) q[12], q[0];
crz(0.0009)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
9f6a09f991bf68484362b3872f6239a7 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -10.49999958399804, "params": null, "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 21, "probabilities": [0.4999999519269191, 0.499999995836056], "optimization_time": 15.6940598487854} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5706) q[1];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.5708) q[0];
ry(1.5706) q[6];
cry(0.0004) q[6], q[1];
cry(-0.0006) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-9147183182829190284 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4], [0, 1, 5, 6, 8, 9, 10], [0, 3, 5, 6, 8, 10], [0, 2, 3, 5, 6, 9, 10], [0, 8, 7], [4, 5, 6, 7, 9, 10], [8, 2], [0, 1, 2, 5, 6, 7, 9, 10], [1, 3, 4, 5, 7, 9], [1, 3, 6, 7], [2, 4], [1, 3, 4, 5, 9, 10], [0, 1, 3, 7, 9], [1, 4, 5, 7, 10]]} | {"states": [1965, 1961], "expectation_value": -1.7961660817133396, "params": [[0.1024, 1.4189, -0.0023, 1.5674000000000001, 0.0767, 1.5802, 0.0373, 1.5439, 0.0061, 0.32380000000000003, 1.4409], [1.7014, 1.6848, 1.7047, 1.5723, 1.1519000000000001, 1.5665, 1.0634000000000001, 1.5911000000000002, 1.4928000000000001, 1.087... | 0.5 * (Z(0) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(4)) + 0.09166666666666667 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.09880952380952379 * (Z(5) @ Z(0)) + 0.15833333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.09880952380952379 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(1)) + 0.132142... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.6952380952380954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6642857142857146, "smallest_bitstrings": ["00001010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1024) q[0];
ry(1.4189) q[1];
ry(-0.0023) q[2];
ry(1.5674) q[3];
ry(0.0767) q[4];
ry(1.5802) q[5];
ry(0.0373) q[6];
ry(1.5439) q[7];
ry(0.0061) q[8];
ry(0.3238) q[9];
ry(1.4409) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b03b4f369d39855dc91503bf499dc5a0 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [4089, 3577], "expectation_value": -2.194467139124302, "params": [0.23650000000000002, 0.23720000000000002, 1.1976, 1.2037, 1.2052, 1.2026000000000001, 0.7773, 0.7689, 1.2043000000000001, 1.1965000000000001, 1.1981000000000002, 1.2034, 0.8549, 0.8595, 1.2002000000000002, 1.2033, 1.2073, 1.2059, 1.2038, 1.195... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -3.0, "smallest_bitstrings"... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.2365) q[0];
ry(1.1976) q[1];
ry(1.2052) q[2];
ry(0.7773) q[3];
ry(1.2043) q[4];
ry(1.1981) q[5];
ry(0.8549) q[6];
ry(1.2002) q[7];
ry(1.2073) q[8];
ry(1.2038) q[9];
ry(0.7687) q[10];
ry(0.2415) q[11];
ry(1.2005) q[12];
crz(-0.1572) q[12], q[0];
crz(0.39... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 153.69335341453552} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[1];
ry(63.0969) q[3];
cry(62.818) q[1], q[3];
ry(37.6583) q[5];
cry(3.9267) q[1], q[5];
ry(-9.2102) q[7];
cry(-21.3283) q[1], q[7];
cry(-7.49) q[7], q[3];
ry(62.913) q[2];
cry(62.8534... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[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[... |
-6086076243898743339 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [3, 4], [0, 1, 2, 3], [1, 2, 5], [0, 4, 5]]} | {"states": [58, 45], "expectation_value": -0.674849913674056, "params": [[0.3791], [-0.37920000000000004]], "bitstrings": ["000101", "010010"], "total_optimization_steps": 40, "probabilities": [0.03895484479744746, 0.039636287931299585], "optimization_time": 1.9498543739318848} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333326, "smallest_bitstrings": ["010010"]} | 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(0.1264) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1264) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1264) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.1895) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.1895... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [23, 7], "expectation_value": -5.880702341370544, "params": [[-0.0718, -0.050100000000000006, -0.062400000000000004], [0.0806, 0.06430000000000001, 0.0674]], "bitstrings": ["11101000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.017829604659469228, 0.01783974931536741], "optimization_tim... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.1077) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3949) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0718) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.1077) q[4];
cx q[0], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8838725750373529537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 8, 3, 7], [2, 7], [4, 6]]} | {"states": [15, 271], "expectation_value": -1.6343365326951143, "params": null, "bitstrings": ["111110000", "011110000"], "total_optimization_steps": 76, "probabilities": [0.19727844263910901, 0.25842478189407314], "optimization_time": 132.5055434703827} | 0.5 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001111000", "011000101", "111000100", "001101100", "111010000", "00001101... | 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[6], q[4];
cry(-1.0342) q[7], q[2];
ry(0.9138) q[7];
ry(-0.6219) q[2];
cry(-1.0342) q[5], q[1];
ry(0.7003) q[6];
ry(0.7003) q[5];
cry(0.4361) q[6], q[7];
ry(-0.4549) q[1];
cr... | 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[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
179242501914684100 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 2], [2, 3], [2, 5, 6], [1, 3, 5], [3, 4], [0, 2, 5], [0, 1, 5], [0, 2, 4], [0, 3]]} | {"states": [23, 86], "expectation_value": -2.904189905724379, "params": null, "bitstrings": ["1101000", "0101001"], "total_optimization_steps": 45, "probabilities": [0.06786856281579343, 0.8215806097586723], "optimization_time": 49.78305006027222} | 0.5 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5298) q[5];
cry(-1.0341) q[2], q[3];
ry(0.9713) q[2];
cry(-1.2402) q[2], q[1];
cry(-1.1813) q[0], q[6];
ry(1.0927) q[0];
cry(-0.8676) q[0], q[3];
ry(-0.7179) q[6];
cry(0.364) q[5], q[2];
cry(1.1876) ... | 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(1.5298) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
17a32941816fa4df4569cf15257148c1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [131, 139], "expectation_value": -5.171247424888674, "params": [0.5017, 0.0509, 0.5017, 0.026500000000000003, 0.1012, -0.2632, 0.0985, -0.26890000000000003, -0.0126, 0.2975, -0.0195, 0.2929, 0.0044, 0.2758, 0.0016, 0.2713, 0.42100000000000004, 0.0682, 0.4268, 0.052700000000000004, -0.0066, 0.2724000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(5) + 0.0 * Z(0) + -2.0 * ... | 5 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110100", "00011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5017) q[0];
rz(0.0509) q[0];
rx(0.1012) q[1];
rz(-0.2632) q[1];
rx(-0.0126) q[2];
rz(0.2975) q[2];
rx(0.0044) q[3];
rz(0.2758) q[3];
rx(0.421) q[4];
rz(0.0682) q[4];
rx(-0.0066) q[5];
rz(0.2724) q[5];
rx(0.4999) q[6];
rz(0.0934) q[6];
rx(0.4999) 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": []} |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 5.787497520446777} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[4];
ry(0.6944) q[2];
ry(-0.451) q[4];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[4];
cry(-0.1259) q[1], q[0];
cry(-0.1217) q[1], q[3];
cry(0.112... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
e4e902d97ba530f1316e54d3eb408a10 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 38], "expectation_value": -0.38150891528344916, "params": [[0.081], [-0.0867]], "bitstrings": ["0010111", "1011001"], "total_optimization_steps": 10, "probabilities": [0.00955610171559001, 0.009556101715590013], "optimization_time": 1.557016134262085} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.081) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.081) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.081) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.081) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[6];
rz(... | null | {"circuits": [], "gradients": []} |
28dc3232636d41d764faa86ff53aeb94 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [169, 86], "expectation_value": -0.06695940642283005, "params": [[0.007500000000000001, -0.378, 0.0009000000000000001, 0.0039000000000000003, 0.0073, 0.0058000000000000005, 0.0031000000000000003, 0.0099], [0.0057, 0.3714, 0.0027, 0.0056, 0.0005, 0.001, 0.0061, 0.0073]], "bitstrings": ["01010110", "10101001"]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.0 * Z(3) + -1.0 * Z(4) | 9 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101001", "10111000", "01111000", "01101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0075) q[0];
rx(-0.378) q[1];
rx(0.0009) q[2];
rx(0.0039) q[3];
rx(0.0073) q[4];
rx(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [101, 109], "expectation_value": -9.694616998480177, "params": [[0.002, 0.0011, 1.5724, -0.0025, -0.8107000000000001, 0.6501, -0.0026000000000000003, 1.641], [-0.0024000000000000002, 2.8822, 1.572, -0.0026000000000000003, -1.1138000000000001, 2.5977, -0.0027, 1.4946000000000002]], "bitstrings": ["10011010", ... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 10 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.002) q[0];
ry(0.0011) q[1];
ry(1.5724) q[2];
ry(-0.0025) q[3];
ry(-0.8107) q[4];
ry(0.6501) q[5];
ry(-0.0026) q[6];
ry(1.641) 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];
cz q[0], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2e72512b5ac9b27ecc5c8ce1c8887dbe | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [371, 370], "expectation_value": -79.44345652346601, "params": [0.2616, 0.4228, 0.9048, 0.0799, 0.227, 0.37070000000000003, 0.8981, 0.003, 0.9015000000000001, -0.0041, 0.9003, 0.1789, 0.45830000000000004, 0.3108, -0.0037, 0.5192, 0.8979, -0.0813, 0.4733, -0.1462, 0.26580000000000004, 0.4132, 0.902, 0.1267, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 1.0 * Z(0) + 7.0 * Z(1) + 21.5 * Z(3) + 0.5 * Z(2) + 12.... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2616) q[0];
rz(0.4228) q[0];
rx(0.9048) q[1];
rz(0.0799) q[1];
rx(0.227) q[2];
rz(0.3707) q[2];
rx(0.8981) q[3];
rz(0.003) q[3];
rx(0.9015) q[4];
rz(-0.0041) q[4];
rx(0.9003) q[5];
rz(0.1789) q[5];
rx(0.4583) q[6];
rz(0.3108) q[6];
rx(-0.0037) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [373, 369], "expectation_value": -2.6245862194037706, "params": [2.3052, 0.006, 0.8772000000000001, 0.0056, 1.7223000000000002, 0.004, 2.3089, 0.0009000000000000001, 2.299, 0.0085, -0.002, 0.0028, 1.4744000000000002, 0.009300000000000001, -0.002, 0.0061, 2.3000000000000003, 0.0004, 0.0043, 0.0067, 0.0083, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.75, "smallest_bitstrings": ["010001011", "100001110", "011001010", "010011010", "001001110", "010001110", "001101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.3052) q[0];
rz(0.006) q[0];
rx(0.8772) q[1];
rz(0.0056) q[1];
rx(1.7223) q[2];
rz(0.004) q[2];
rx(2.3089) q[3];
rz(0.0009) q[3];
rx(2.299) q[4];
rz(0.0085) q[4];
rx(-0.002) q[5];
rz(0.0028) q[5];
rx(1.4744) q[6];
rz(0.0093) q[6];
rx(-0.002) q[7];
rz(0.006... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276475, 0.553797053621311], "optimization_time": 414.7996127605438} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 4 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[7];
ry(1.0965) q[6];
ry(1.2796) q[3];
cry(1.1291) q[3], q[7];
cry(1.5708) q[4], q[11];
ry(0.9929) q[4];
cry(0.4739) q[7], q[6];
cry(0.4718... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
9313084cc492e2aab2fbf1a94b6f25bf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [9, 73], "expectation_value": -4.042482062474461, "params": [0.0019, 0.7381000000000001, -0.4869, 0.4559, 0.0026000000000000003, 0.6575000000000001, -0.0037, 1.0112, 0.6823, 0.0095, 0.0033, 1.1166, 0.0011, 0.5113, 0.4753, 0.0164, 0.0045000000000000005, 0.7543000000000001, -0.48710000000000003, 1.2682, -0.002... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0019) q[0];
rz(0.7381) q[0];
rx(-0.4869) q[1];
rz(0.4559) q[1];
rx(0.0026) q[2];
rz(0.6575) q[2];
rx(-0.0037) q[3];
rz(1.0112) q[3];
rx(0.6823) q[4];
rz(0.0095) q[4];
rx(0.0033) q[5];
rz(1.1166) q[5];
rx(0.0011) q[6];
rz(0.5113) q[6];
rx(0.4753) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
eea2f112f1aa4a00d6fffd09725db36f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -21.835529205367205, "params": [-0.017, 0.0045000000000000005, -0.0059, 0.0021000000000000003, -0.0035, -0.0038, 0.30310000000000004, 0.3032, 0.00030000000000000003, -0.00030000000000000003, -0.0005, -0.0017000000000000001, -0.0055000000000000005, -0.0037, -0.000900000000000000... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9... | 14 | 12 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.017) q[0];
ry(-0.0059) q[1];
ry(-0.0035) q[2];
ry(0.3031) q[3];
ry(0.0003) q[4];
ry(-0.0005) q[5];
ry(-0.0055) q[6];
ry(-0.0009) q[7];
ry(-0.004) q[8];
ry(-0.0034) q[9];
ry(-0.0021) q[10];
ry(-0.0053) q[11];
crx(0.1812) q[11], q[0];
crx(-0.1876) q[10],... | 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": []} |
a9409fcc1c37f00d69e6ff7314eee747 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 127], "expectation_value": -6.155298176571191, "params": [-0.15430000000000002, 1.3779000000000001, -0.6936, 0.0079, 0.6239, 0.6712, -0.1506, 0.007, 0.9537, 0.8024, -0.8247, 0.0058000000000000005, 0.9605, 1.1092, -0.14800000000000002, 0.0054, 1.0035, 1.465, 0.2856, 0.004, 0.9860000000000001, 1.6878000000... | -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(0) | 6 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.1543) q[0];
rz(1.3779) q[0];
rx(0.6239) q[1];
rz(0.6712) q[1];
rx(0.9537) q[2];
rz(0.8024) q[2];
rx(0.9605) q[3];
rz(1.1092) q[3];
rx(1.0035) q[4];
rz(1.465) q[4];
rx(0.986) q[5];
rz(1.6878) q[5];
rx(0.9013) q[6];
rz(1.6237) q[6];
rx(0.2132) q[7];
rz(0.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
a558ec37e22caf209c56cc4dddc2a5bf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [48, 112], "expectation_value": -5.602787819227367, "params": [1.2138, 0.0027, -0.0024000000000000002, 0.0019, 1.6657000000000002, 0.005, 1.7096, 0.0066, 1.7137, 0.0064, -0.0022, 0.0031000000000000003, 0.3673, 0.0092, -0.0029000000000000002, 0.001, 0.2579, 0.0018000000000000002, 0.006200000000000001, 0.0015,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001111", "011101011", "111101010", "110101110", "011111001", "100101111", "101101011", "110110110", "011011101", "110010111", "0110... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2138) q[0];
rz(0.0027) q[0];
rx(-0.0024) q[1];
rz(0.0019) q[1];
rx(1.6657) q[2];
rz(0.005) q[2];
rx(1.7096) q[3];
rz(0.0066) q[3];
rx(1.7137) q[4];
rz(0.0064) q[4];
rx(-0.0022) q[5];
rz(0.0031) q[5];
rx(0.3673) q[6];
rz(0.0092) q[6];
rx(-0.0029) 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": []} |
9cd61de466d87c99ffcd4d9aaf27361b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -13.42386715279187, "params": [[[-0.0022, 3.1439000000000004], [-0.0027, -0.0026000000000000003], [-0.0032, -0.003], [-0.0028, -0.0031000000000000003], [0.0021000000000000003, -0.0031000000000000003], [1.3069000000000002, -1.5525], [1.5913000000000002, -1.532], [-0.0025, -1.2... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2)... | 15 | 8 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0022) q[0];
ry(-0.0027) q[1];
ry(-0.0032) q[2];
ry(-0.0028) q[3];
ry(0.0021) q[4];
ry(1.3069) q[5];
ry(1.5913) q[6];
ry(-0.0025) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 7} | {"circuits": [], "gradients": []} |
9720f25e266b706fd55bd4bfdba0ffde | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 3], "expectation_value": -0.1622861349440512, "params": [[-0.027600000000000003], [0.0397]], "bitstrings": ["1111111110", "1111111100"], "total_optimization_steps": 10, "probabilities": [0.001076970021251896, 0.0010913621211403736], "optimization_time": 2.9687952995300293} | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.0414) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0414) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(0.0276) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.0414) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 3.305668830871582} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
ry(0.7003) q[0];
ry(-0.4549) q[1];
cry(-0.2376) q[1], q[0];
cry(-0.0027) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]... | null | null | {"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(-1.5681) q[2];\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];\... |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 66.39305305480957} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | 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(-1.3016) q[5], q[1];
cry(-0.5926) q[3], q[4];
ry(1.0619) q[0];
cry(-0.8136) q[4], q[3];
cry(-0.4755) q[2], q[1];
ry(0.6649) q[5];
cry(0.8947) q[5], q[2];
ry(-0.2964) q[1];
cry(0.4386) q[5], q[0];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) 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];\nc[6] = measure q[6... |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | 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": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 21], "expectation_value": -7.38249367585583, "params": null, "bitstrings": ["111111110", "111101010"], "total_optimization_steps": 49, "probabilities": [0.11884327468330771, 0.5379672204827636], "optimization_time": 62.05758261680603} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["110101010", "110111110", "111111110", "111101010"]} | 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(-1.5706) q[7];
cry(-1.5681) q[8], q[0];
ry(1.111) q[8];
ry(-1.5681) q[3];
ry(-1.5681) q[1];
ry(-0.5312) q[0];
ry(-1.5697) q[5];
cry(0.3393) q[4], q[8];
cry(1.1406) q[4], q[6];
cry(0.841... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5706) 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];\nc[6] = ... |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -3.06970238287601, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 40, "probabilities": [0.18712618216087368, 0.5299561105391241], "optimization_time": 28.83842658996582} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "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(1.5681) q[2];
cry(1.5158) q[4], q[3];
cry(-1.4449) q[5], q[0];
ry(0.9915) q[5];
cry(1.3938) q[5], q[1];
cry(-0.5146) q[1], q[0];
cry(0.3185) q[1], q[5];
cry(-0.1656) q[2], q[0];
ry(0.1487) q[1];
cry(0.0538) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
4b9ee9784583cbae9c3337872bb21234 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [585, 587], "expectation_value": -6.955210024884945, "params": [[[1.6083, 0.0015], [0.5104000000000001, 0.0004], [0.5079, 0.0043], [1.6099, 0.0039000000000000003], [-0.0031000000000000003, 0.001], [-0.003, 0.0022], [1.6055000000000001, 0.0002], [-0.0022, 0.006500000000000001], [1.6013000000000002, 0.0066], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["0110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6083) q[0];
rz(0.0015) q[0];
rx(0.5104) q[1];
rz(0.0004) q[1];
rx(0.5079) q[2];
rz(0.0043) q[2];
rx(1.6099) q[3];
rz(0.0039) q[3];
rx(-0.0031) q[4];
rz(0.001) q[4];
rx(-0.003) q[5];
rz(0.0022) q[5];
rx(1.6055) q[6];
rz(0.0002) q[6];
rx(-0.0022) 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": []} |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [174, 122], "expectation_value": -11.834041593997103, "params": [[-0.0044, 0.049100000000000005, -0.0126], [-0.003, -0.0548, -0.0264]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00749107095974596, 0.00884828982134308], "optimization_time": 6.646502733230591} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0352) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0352) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0352) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0352) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [60, 44], "expectation_value": -9.479705290920762, "params": [-0.0027, 0.9708, -0.0027, 1.0948, -0.0027, 1.0828, -0.0022, 1.0962, 1.0669, 0.5167, 0.7701, 0.5073, 1.4937, 0.1227, 1.4886000000000001, 0.0019, -0.0009000000000000001, 0.2901, -0.006200000000000001, 0.9006000000000001, -0.0027, 0.0074, -0.0027, 0.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0027) q[0];
rz(0.9708) q[0];
rx(-0.0027) q[1];
rz(1.0948) q[1];
rx(-0.0027) q[2];
rz(1.0828) q[2];
rx(-0.0022) q[3];
rz(1.0962) q[3];
rx(1.0669) q[4];
rz(0.5167) q[4];
rx(0.7701) q[5];
rz(0.5073) q[5];
rx(1.4937) q[6];
rz(0.1227) q[6];
rx(1.4886) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-746077927858631906 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5], [1, 4, 6], [0, 1, 4], [0, 3, 4], [2, 3], [2, 6], [4, 5], [1, 3, 6]]} | {"states": [122, 107], "expectation_value": -2.747801848613398, "params": null, "bitstrings": ["0000101", "0010100"], "total_optimization_steps": 45, "probabilities": [0.06595344593519846, 0.8792238522546137], "optimization_time": 56.19011163711548} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.4449) q[1];
cry(-1.0342) q[6], q[2];
ry(1.3136) q[3];
cry(-0.7051) q[5], q[2];
ry(1.0532) q[5];
cry(-1.3951) q[5], q[4];
cry(1.0805) q[5], q[6];
ry(-0.5124) q[2];
ry(1.1704) q[0];
cry(0.3224) q[1], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) 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", "... |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 1.0600266456604004} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[1];
ry(-1.5708) q[2];
ry(-1.5642) q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nry(-1.5708)... |
b99f0e315d6c4ec38babd2628ecf87b6 | 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": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [67, 3], "expectation_value": -4.351515097173425, "params": [0.00030000000000000003, 0.2585, 0.001, 0.4637, 0.45020000000000004, 0.1221, 0.0021000000000000003, 0.43370000000000003, 0.0025, 0.4596, 0.0031000000000000003, -0.43170000000000003, 0.0027, 0.4581, 0.5957, 0.0043, 0.6023000000000001, 0.0035, 0.007, ... | -0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["110111100", "111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0003) q[0];
rz(0.2585) q[0];
rx(0.001) q[1];
rz(0.4637) q[1];
rx(0.4502) q[2];
rz(0.1221) q[2];
rx(0.0021) q[3];
rz(0.4337) q[3];
rx(0.0025) q[4];
rz(0.4596) q[4];
rx(0.0031) q[5];
rz(-0.4317) q[5];
rx(0.0027) q[6];
rz(0.4581) q[6];
rx(0.5957) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e0ade851c431314b420faf30ab55361c | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.5039679850144125, "params": [[-0.0487, -0.0431, 0.0001], [0.0631, 0.0623, 0.0317]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005768592951770485, 0.005926050525966261], "optimization_time": 3.9990170001983643} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"]} | 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(0.0244) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0974) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(0.0487) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0487) q[7];
cx q[0], q[7];
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": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [17, 56], "expectation_value": -1.1289106927645904, "params": [[0.0635, 0.0761, 0.0488], [-0.0495, -0.07690000000000001, -0.0495]], "bitstrings": ["101110", "000111"], "total_optimization_steps": 10, "probabilities": [0.023880609727479987, 0.026841664298333318], "optimization_time": 5.215941667556763} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0635) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0635) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0635) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0635) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0635... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 21.32979416847229} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[1];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[1];
cry(-0.148... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-6632939688479136457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2], [0, 4], [2, 4], [2, 5], [1, 3]]} | {"states": [7, 56], "expectation_value": -0.044116107535048174, "params": [[0.060500000000000005], [-0.061700000000000005]], "bitstrings": ["111000", "000111"], "total_optimization_steps": 10, "probabilities": [0.016561186318140114, 0.016561186318140114], "optimization_time": 1.2248198986053467} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110001", "101100", "010011", "001110", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(0.0605) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.0605) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.0605) q[2];
cx q[1], q[2];
cx q[4], q[0];
rz(0.0605) q[0];
cx q[4], q[0];
cx q[2], q[5];
rz(0.0605... | 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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
-291717430022571769 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 6], [10, 4], [2, 4, 5], [4, 6], [4, 7], [0, 3, 5], [10, 2, 6], [0, 7], [1, 5], [8, 9], [9, 2, 1], [0, 9, 4], [0, 8], [8, 3], [1, 6], [9, 5, 7], [2, 3]]} | {"states": [1497, 1369], "expectation_value": -4.312340155712932, "params": [1.3949, 1.4026, 0.3594, 0.3521, 1.3942, 1.3958000000000002, 0.7359, 0.733, 1.3667, 1.3591, 0.373, 0.3759, 1.4013, 1.3939000000000001, 1.3916000000000002, 1.3833, 0.3652, 0.366, 0.1854, 0.1855, 1.3974, 1.4031, -0.0041, 0.0011, -0.01560000000000... | 0.5 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.16... | 13 | 11 | 1 | {"smallest_eigenvalues": [-5.5000000000000036], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["01010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3949) q[0];
ry(0.3594) q[1];
ry(1.3942) q[2];
ry(0.7359) q[3];
ry(1.3667) q[4];
ry(0.373) q[5];
ry(1.4013) q[6];
ry(1.3916) q[7];
ry(0.3652) q[8];
ry(0.1854) q[9];
ry(1.3974) q[10];
crz(-0.0041) q[10], q[0];
crz(0.5439) q[9], q[10];
crz(0.5434) q[8], 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": []} |
333254782283247234 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 4, 7], [9, 10, 11, 6], [1, 2, 10, 6], [0, 1, 4, 5, 8], [1, 10, 3, 4], [1, 5, 7, 9, 10], [0, 9, 2], [0, 1, 4, 9, 11], [8, 9, 11], [10, 2, 5], [9, 4, 5, 6], [2, 4, 7, 9, 11], [1, 2, 5, 6, 7], [1, 2, 9]]} | {"states": [2735, 2799], "expectation_value": -2.980339000572928, "params": [1.5649000000000002, 1.5716, 0.10300000000000001, 0.0983, 1.5837, 1.5525, 0.0415, 0.039400000000000004, 0.9238000000000001, 0.9282, 0.861, 0.8734000000000001, 1.5635000000000001, 1.5714000000000001, 0.11660000000000001, 0.1187, 1.5859, 1.5617, ... | 0.3 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(9) @ Z(2)) + 0.18333333333333335 * (Z(9) @ Z(1)) + 0.13333333333333333 * (Z(9) @ Z(6)) + 0.13333333333333333 * (Z(11) @ Z(2)) + 0.26666666666666666 * (Z(11) @ Z(1)) + 0.18333333333333335 * (Z(11) @... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.216666666666666, "smallest_bitstrings": ["010100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5649) q[0];
ry(0.103) q[1];
ry(1.5837) q[2];
ry(0.0415) q[3];
ry(0.9238) q[4];
ry(0.861) q[5];
ry(1.5635) q[6];
ry(0.1166) q[7];
ry(1.5859) q[8];
ry(1.5736) q[9];
ry(1.5713) q[10];
ry(1.5677) q[11];
crz(-0.0023) q[11], q[0];
crz(0.003) q[10], q[11];
crz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.311607982214429, "params": [[0.041], [-0.038900000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008996799308285699, 0.00904172936796062], "optimization_time": 2.119847059249878} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.041) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0205) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.1025) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.082) q[6];
cx q[0], q[6];
cx q[5], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -1.0399629748986985, "params": [[[0.0024000000000000002, 0.1971], [0.002, 0.3125], [0.39930000000000004, -0.0027]], [[-0.0051, 0.2326], [0.0058000000000000005, 0.2869], [0.40840000000000004, -0.0015]], [[-0.0005, 0.2291], [0.0007, 0.30310000000000004], [0.4, -0.0023]], [[0.000300... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.0024) q[0];
rz(0.1971) q[0];
rx(0.002) q[1];
rz(0.3125) q[1];
rx(0.3993) q[2];
rz(-0.0027) q[2];
rx(-0.0051) q[0];
rz(0.2326) q[0];
rx(0.0058) q[1];
rz(0.2869) q[1];
rx(0.4084) q[2];
rz(-0.0015) q[2];
rx(-0.0005) q[0];
rz(0.2291) q[0];
rx(0.0007) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1719, 1659], "expectation_value": -0.036696891112715964, "params": [[0.060200000000000004], [-0.0487]], "bitstrings": ["00101001000", "00110000100"], "total_optimization_steps": 10, "probabilities": [0.0005373593626201901, 0.0005373593626201907], "optimization_time": 17.90691566467285} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.0301) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0301) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0301) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} |
34405b8ce51c8b9444235dd8f8241107 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [366, 358], "expectation_value": -0.7173085378596555, "params": [1.7045000000000001, 0.0027, 1.4758, 0.0015, 1.7004000000000001, 0.0079, 1.7049, 0.0053, 0.8937, 0.0008, 1.4889000000000001, 0.008700000000000001, 1.6996, 0.004200000000000001, 1.7069, 0.0055000000000000005, 0.4435, 0.0032, 0.0079, 0.0016, 0.000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100101", "001100011", "001101001", "001100110", "001011001", "101001001", "010010011", "100011001", "010011001", "010010110", "0100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.7045) q[0];
rz(0.0027) q[0];
rx(1.4758) q[1];
rz(0.0015) q[1];
rx(1.7004) q[2];
rz(0.0079) q[2];
rx(1.7049) q[3];
rz(0.0053) q[3];
rx(0.8937) q[4];
rz(0.0008) q[4];
rx(1.4889) q[5];
rz(0.0087) q[5];
rx(1.6996) q[6];
rz(0.0042) q[6];
rx(1.7069) 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": []} |
86f73578238baf3b633bd1fba1c953bb | 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": 1, "target": 3}, {"source": ... | {"states": [0, 191], "expectation_value": -13.429628874640295, "params": [0.0046, 1.9021000000000001, -0.0025, 0.009000000000000001, 0.0018000000000000002, 1.9335, -0.0054, 0.0037, 0.4156, 0.1844, -0.7051000000000001, 0.0083, 0.0023, 1.2876, 0.001, 0.0014, -0.8138000000000001, 0.4137, 0.7536, 0.0036000000000000003, -0.... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(2)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z... | 6 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0046) q[0];
rz(1.9021) q[0];
rx(0.0018) q[1];
rz(1.9335) q[1];
rx(0.4156) q[2];
rz(0.1844) q[2];
rx(0.0023) q[3];
rz(1.2876) q[3];
rx(-0.8138) q[4];
rz(0.4137) q[4];
rx(-0.8702) q[5];
rz(0.5937) q[5];
rx(-0.8693) q[6];
rz(0.7681) q[6];
rx(-0.9283) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [17, 3], "expectation_value": -13.203510565907113, "params": [[-0.039, -0.0296], [0.0683, 0.07780000000000001]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.017433406300034895, 0.018244547363016075], "optimization_time": 4.9574384689331055} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(-0.2145) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2145) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2145) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2145) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [61, 57], "expectation_value": -2.8950374595707666, "params": [0.0028, 0.0046, 0.0704, 0.0608, 0.6062000000000001, 0.607, 0.5946, 0.5941000000000001, 0.5915, 0.5930000000000001, 0.35800000000000004, 0.35500000000000004, -0.0006000000000000001, 0.0045000000000000005, 0.5917, 0.5984, 0.0019, 0.0039000000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["10010110", "11000011", "11010010", "10100110", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0028) q[0];
ry(0.0704) q[1];
ry(0.6062) q[2];
ry(0.5946) q[3];
ry(0.5915) q[4];
ry(0.358) q[5];
ry(-0.0006) q[6];
ry(0.5917) q[7];
crx(-0.0041) q[7], q[0];
crx(-0.0276) q[6], q[7];
crx(0.0001) q[5], q[6];
crx(-0.0108) q[4], q[5];
crx(0.5739) q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-7161579744638778172 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4], [2, 5, 6, 7], [8, 2], [0, 3]]} | {"states": [476, 415], "expectation_value": -0.6384569330709895, "params": [[0.4752], [-0.4199]], "bitstrings": ["000100011", "001100000"], "total_optimization_steps": 50, "probabilities": [0.00624347071529085, 0.006377185881690597], "optimization_time": 1.662113904953003} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings":... | 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[3], q[1];
rz(0.1584) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.1584) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.1584) q[4];
cx q[1], q[4];
cx q[5], q[2];
rz(0.0792) q[2];
cx q[5], 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;
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[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4... | null | {"circuits": [], "gradients": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [1, 9], "expectation_value": -8.113658151290323, "params": [0.0071, 0.28750000000000003, 0.0029000000000000002, 0.0765, 0.0022, 0.5697, 0.0028, 0.5417000000000001, 0.0029000000000000002, 0.6022000000000001, 0.0034000000000000002, 0.5984, 0.0021000000000000003, 0.4859, 0.0017000000000000001, 0.5884, -0.150800... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 6 | 8 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["11110110", "11110100", "11110000", "10010000", "11100000", "11100100", "11100110", "10000000", "10100000", "11000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0071) q[0];
rz(0.2875) q[0];
rx(0.0022) q[1];
rz(0.5697) q[1];
rx(0.0029) q[2];
rz(0.6022) q[2];
rx(0.0021) q[3];
rz(0.4859) q[3];
rx(-0.1508) q[4];
rz(0.0643) q[4];
rx(0.0028) q[5];
rz(0.6073) q[5];
rx(-0.0013) q[6];
rz(0.5815) q[6];
rx(0.6482) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
61fc58e7ea5c0b858181cef6a00713e4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 158.68650579452515} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1215) q[4];
ry(-23.4164) q[5];
cry(0.1181) q[5], q[4];
ry(23.9349) q[3];
cry(-2.7541) q[7], q[4];
ry(56.209) q[2];
ry(63.0362) q[6];
cry(62.7821) q[5], q[6];
cry(16.3845) q[5], q[2];
... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
-4070750241734402423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 5, 8, 9], [1, 5], [0, 1], [0, 3, 4, 5, 7], [0, 3, 4, 5, 6], [8, 4, 6, 7], [8, 3, 6], [2, 3, 5, 7, 8, 9], [8, 1, 4, 6], [9, 3, 4, 6], [8, 5, 6, 7], [2, 3, 4, 7, 9]]} | {"states": [701, 699], "expectation_value": -2.622828412623138, "params": [1.4969000000000001, 1.4988000000000001, 0.1178, 0.0956, 0.8135, 0.9167000000000001, 0.6594, 0.6692, 1.4952, 1.489, 1.498, 1.4899, 1.3796000000000002, 1.4863000000000002, 0.6794, 0.6536000000000001, 1.4898, 1.4873, 1.0688, 1.4867000000000001, 0.9... | 0.13333333333333336 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(3)) + 0.13333333333333336 * (Z(5) @ Z(0)) + 0.13333333333333336 * (Z(5) @ Z(4)) + 0.2333333333333333 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.2 * (Z(8) @ Z(4... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.3000000000000007], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["0101000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.4969) q[0];
ry(0.1178) q[1];
ry(0.8135) q[2];
ry(0.6594) q[3];
ry(1.4952) q[4];
ry(1.498) q[5];
ry(1.3796) q[6];
ry(0.6794) q[7];
ry(1.4898) q[8];
ry(1.0688) q[9];
crx(0.9064) q[9], q[0];
crx(1.2619) q[8], q[9];
crx(0.0582) q[7], q[8];
crx(0.4562) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6254141777385931262 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 7], [0, 1, 3, 4, 8], [0, 1, 7, 8, 9], [0, 2, 6], [3, 4, 5, 6, 8], [1, 2, 3], [2, 3, 6, 7, 9], [4, 5, 6, 7, 8]]} | {"states": [862, 860], "expectation_value": -1.766759438638235, "params": [1.7534, -0.0083, 0.4647, 0.0031000000000000003, 1.7622, -0.0025, 0.47750000000000004, 0.0079, 1.7871000000000001, 0.0108, 1.5891000000000002, 0.0078000000000000005, 1.7485000000000002, -0.0043, 1.1739000000000002, 0.0097, 1.7867000000000002, -0.... | 0.15000000000000002 * (Z(0) @ Z(1)) + 0.1 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.1 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.8666666666666671, -1.8666666666666671, -1.8666666666666671, -1.8666666666666671], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["1001010001", "0010100001", "0010010011", "0010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.7534) q[0];
rz(-0.0083) q[0];
rx(1.7622) q[1];
rz(-0.0025) q[1];
rx(1.7871) q[2];
rz(0.0108) q[2];
rx(1.7485) q[3];
rz(-0.0043) q[3];
rx(1.7867) q[4];
rz(-0.0051) q[4];
rx(1.7766) q[5];
rz(-0.0003) q[5];
rx(1.7647) q[6];
rz(-0.0052) q[6];
rx(1.6819) 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": []} |
2ebc839a20c2d3cd0797b936657b1618 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -21.15264989033266, "params": [[[0.0027, 1.6065], [0.0028, 0.0029000000000000002], [-0.002, 0.12660000000000002], [0.0023, 0.0017000000000000001], [0.0022, 0.0028], [0.0016, 0.0015], [-0.0026000000000000003, 0.002], [-0.0026000000000000003, 0.0017000000000000001], [0.0025, 0.0... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.0 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) +... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.0, -26.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000000000", "110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0027) q[0];
ry(0.0028) q[1];
ry(-0.002) q[2];
ry(0.0023) q[3];
ry(0.0022) q[4];
ry(0.0016) q[5];
ry(-0.0026) q[6];
ry(-0.0026) q[7];
ry(0.0025) q[8];
ry(0.0024) q[9];
ry(0.0017) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 1} | {"circuits": [], "gradients": []} |
d3a1bd476861992c14dd2d5f2f135799 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [2040, 2043], "expectation_value": -2.18879721933118, "params": [[0.07350000000000001], [-0.0823]], "bitstrings": ["00000000111", "00000000100"], "total_optimization_steps": 10, "probabilities": [0.0009389676900400708, 0.0009592968345184542], "optimization_time": 0.8407552242279053} | -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];
cx q[3], q[0];
rz(-0.294) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.147) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.3675) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0735) 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[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[3], ... | {"node": 9} | {"circuits": [], "gradients": []} |
668f90355fba57bcb4fb60386433c90f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [110, 107], "expectation_value": -21.164615810678942, "params": [[0.0234, 0.008, 0.0028, -0.006900000000000001], [-0.0541, -0.052700000000000004, -0.0629, -0.046]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013397515088288792, 0.014593921627501446], "optimiza... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
rz(0.2106) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.2106) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.2106) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.2106) q[3];
cx q[2], q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
1186103e935f6770b36dcaf31ab8cdf7 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [5630, 4606], "expectation_value": -3.0863744541858007, "params": [0.6844, 0.12430000000000001, 0.21100000000000002, 0.27740000000000004, 0.3473, 0.25830000000000003, 0.0945, 0.47100000000000003, 0.6954, 0.0119, 0.6933, -0.0078000000000000005, 0.6990000000000001, 0.0014, 0.6972, 0.031, 0.53, -0.1837, 0.6975,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 18 | 13 | 4 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875], "nu... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.6844) q[0];
rz(0.1243) q[0];
rx(0.211) q[1];
rz(0.2774) q[1];
rx(0.3473) q[2];
rz(0.2583) q[2];
rx(0.0945) q[3];
rz(0.471) q[3];
rx(0.6954) q[4];
rz(0.0119) q[4];
rx(0.6933) q[5];
rz(-0.0078) q[5];
rx(0.699) q[6];
rz(0.0014) q[6];
rx(0.6972) 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... | null | {"circuits": [], "gradients": []} |
6e17cd813f467101a46aa3d9c885760f | 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": [1105, 1137], "expectation_value": -109.70096640921116, "params": [[0.8011, -0.1063, 0.0051, 0.0236, 0.7864, 0.0916, 0.7957000000000001, 0.112, -0.0023, -0.36210000000000003, 0.5538000000000001], [0.33990000000000004, -0.0838, 0.0055000000000000005, 0.0008, 0.656, -0.0164, 0.7819, 0.0912, -0.0124000000000000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(3) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(1) + 8.5 * Z(0) + 25.5 * Z(5) + 18.0 * Z(4) + 25.0 * Z(6) + -3.5 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-132.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.0, "smallest_bitstrings": ["01110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.8011) q[0];
ry(-0.1063) q[1];
ry(0.0051) q[2];
ry(0.0236) q[3];
ry(0.7864) q[4];
ry(0.0916) q[5];
ry(0.7957) q[6];
ry(0.112) q[7];
ry(-0.0023) q[8];
ry(-0.3621) q[9];
ry(0.5538) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 8.643959522247314} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
ry(1.0342) q[3];
cry(-0.9353) q[2], q[4];
ry(0.712) q[2];
cry(-0.5281) q[3], q[4];
cry(0.5097) q[3], q[2];
cry(0.3892) q[2], q[3];
ry(-0.3871) q[4];
cry(-0.1175) q[3], q[1];
cry(0.0866... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
4abb98976c4c92afe6a55c768cbc5f3f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 995], "expectation_value": -10.248352310421922, "params": [-0.1447, 1.1558000000000002, -0.39830000000000004, 1.9407, 0.6381, 0.6801, 0.1273, 1.7326000000000001, -0.6864, 1.0128000000000001, 0.04, 1.4382000000000001, -0.6881, 1.1111, 0.052700000000000004, 1.6056000000000001, 0.678, 1.0693000000000001, -0... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000001000", "0000011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.1447) q[0];
rz(1.1558) q[0];
rx(0.6381) q[1];
rz(0.6801) q[1];
rx(-0.6864) q[2];
rz(1.0128) q[2];
rx(-0.6881) q[3];
rz(1.1111) q[3];
rx(0.678) q[4];
rz(1.0693) q[4];
rx(0.0035) q[5];
rz(1.0391) q[5];
rx(-0.6634) q[6];
rz(1.3318) q[6];
rx(0.7529) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
2df5083eec714b9fdc0c8843b7695063 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -18.758985582737978, "params": [[0.0189, 0.017, 0.0034000000000000002, -0.0146], [-0.0436, -0.06720000000000001, -0.0616, -0.040100000000000004]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013403753053869856, 0.014344152971865... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(0.1701) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.1701) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.1701) q[1];
cx q[2], q[1];
cx q[3], q[4];
rz(0.1701) q[4];
cx q[3], q[4];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
6d4bc3f3c748c072751bca4882dd10e8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [180, 244], "expectation_value": -5.190378465865011, "params": [[[0.4731, -0.057600000000000005, 0.0085, 0.0014], [0.5992000000000001, 0.6185, 0.2452, -0.2579], [0.41450000000000004, 0.6981, 0.0658, 0.5366000000000001], [0.2031, -0.8594, 0.0854, -0.4219], [-0.1305, -0.1905, 0.1761, -0.687], [-0.0528, 0.114, ... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(3) + 0.0 ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4731) q[0];
rz(-0.0576) q[0];
ry(0.5992) q[1];
rz(0.6185) q[1];
ry(0.4145) q[2];
rz(0.6981) q[2];
ry(0.2031) q[3];
rz(-0.8594) q[3];
ry(-0.1305) q[4];
rz(-0.1905) q[4];
ry(-0.0528) q[5];
rz(0.114) q[5];
ry(0.0058) q[6];
rz(0.4303) q[6];
ry(-0.0034) 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": []} |
d95402f534dca4e34937ada56ff64246 | 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": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -1.0509128885674204, "params": [[0.0286, 0.0358, 0.0818], [-0.024800000000000003, -0.0103, -0.059300000000000005]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013087968465862677, 0.014342307498310218], "optimization_time": 3.60405731... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0429) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0572) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0572) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(-0.0143) q[4];
cx q[2], q[4];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1912, 1913], "expectation_value": -0.3748018723293258, "params": [[-0.0024000000000000002, -0.0031000000000000003, -0.7904, -1.5652000000000001, 1.3395000000000001, 0.0025, -1.1114, 1.0658, -0.002, 0.003, -1.5881, 1.5898], [0.1363, -0.7889, -0.0019, -0.8047000000000001, -0.0034000000000000002, 0.00180000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 9 | 12 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | 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];
cz q[11], q[10];
cz q[10], 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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
e2a1dd8d1e083192a6b4cbfd3d9c358e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [26, 27], "expectation_value": -1.9612876826715122, "params": [0.3891, -0.0063, -0.0048000000000000004, 0.21610000000000001, 0.4056, 0.0877, 0.4043, -0.0031000000000000003, 0.1728, 0.2111, 0.40240000000000004, 0.10990000000000001, 0.39490000000000003, -0.009600000000000001, 0.3909, -0.0027, -0.00420000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100", "0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3891) q[0];
rz(-0.0063) q[0];
rx(-0.0048) q[1];
rz(0.2161) q[1];
rx(0.4056) q[2];
rz(0.0877) q[2];
rx(0.4043) q[3];
rz(-0.0031) q[3];
rx(0.1728) q[4];
rz(0.2111) q[4];
rx(0.4024) q[5];
rz(0.1099) q[5];
rx(0.3949) q[6];
rz(-0.0096) q[6];
crz(0.007) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8299092441863773983 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 3, 4, 7], [0, 4, 7], [2, 3, 5], [0, 1, 3, 5], [3, 5, 6, 7], [3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 4]]} | {"states": [213, 241], "expectation_value": -2.2872825840787283, "params": null, "bitstrings": ["00101010", "00001110"], "total_optimization_steps": 42, "probabilities": [0.020459194205999887, 0.9226887602306711], "optimization_time": 70.88333225250244} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["01100001", "00001110"]} | 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(1.5547) q[3];
ry(1.4745) q[0];
cry(-0.5892) q[7], q[4];
ry(0.7878) q[7];
cry(-0.5601) q[2], q[4];
cry(0.4206) q[3], q[7];
cry(-0.4655) q[0], q[4];
cry(0.6324) q[7], q[2];
cry(-0.7227) q[2], q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5547) 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[... |
17639781641b88f9ffa836608d3b637d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [113, 114], "expectation_value": -4.499105011962898, "params": null, "bitstrings": ["0001110", "0001101"], "total_optimization_steps": 36, "probabilities": [0.065528522270376, 0.9338466720010336], "optimization_time": 30.255824089050293} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[0];
cry(-1.0342) q[5], q[6];
ry(0.7003) q[5];
cry(-0.1259) q[2], q[3];
ry(-0.4549) q[6];
cry(0.4963) q[1], q[5];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [23286, 27885], "expectation_value": -6.851130991061025, "params": [[0.2684, 0.6199, 0.7459, 0.7263000000000001], [-0.5279, -0.2556, -0.068, -0.15030000000000002]], "bitstrings": ["010010100001001", "001001100010010"], "total_optimization_steps": 80, "probabilities": [0.005871945744065778, 0.0058719457440657... | 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.... | 1 | 15 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.2684) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2684) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2684) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
cb943fcd43d9f749780630b91be79506 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -8.640782129108535, "params": [[[0.0083, -0.0024000000000000002], [0.0021000000000000003, 0.003], [0.0014, 0.0029000000000000002], [0.8722000000000001, -0.003], [0.0016, 0.0029000000000000002], [0.0017000000000000001, -0.0026000000000000003], [0.0027, 0.0031000000000000003], ... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0083) q[0];
ry(0.0021) q[1];
ry(0.0014) q[2];
ry(0.8722) q[3];
ry(0.0016) q[4];
ry(0.0017) q[5];
ry(0.0027) q[6];
ry(0.0015) q[7];
ry(2.9803) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9ddcebaaa376040d7f40e787f62c4ee2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [104, 86], "expectation_value": -0.3329145439971443, "params": [[0.0426, 0.0816], [-0.0046, -0.0682]], "bitstrings": ["0010111", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009664463477997464, 0.01017629679155438], "optimization_time": 2.747540235519409} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0426) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.0426) q[2];
cx q[6], q[2];
cx q[2], q[1];
rz(0.0426) q[1];
cx q[2], q[1];
cx q[6], q[4];
rz(0.0426) q[4];
cx q[6], q[4];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [4, 0], "expectation_value": -2.544911536768462, "params": null, "bitstrings": ["11011", "11111"], "total_optimization_steps": 6, "probabilities": [0.003905797211247971, 0.9825329383933348], "optimization_time": 8.377405881881714} | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4868) q[0];
ry(-1.445) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = measure q[4]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -31.456385297391375, "params": [[-0.028300000000000002, -0.0006000000000000001, 0.009000000000000001], [0.07590000000000001, 0.07100000000000001, 0.0546]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.013279264784041594, 0.015662... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"]} | 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(-0.2264) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2264) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2264) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.2264) q[4];
cx q[0], 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": []} |
6512650cf6e89a13be11a148f896da5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [70, 82], "expectation_value": -4.496303544205177, "params": null, "bitstrings": ["0111001", "0101101"], "total_optimization_steps": 21, "probabilities": [0.06706488870760842, 0.9295025358453695], "optimization_time": 15.70612096786499} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "0111010", "0111001", "1100101", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[6];
ry(-1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[5];
cry(-1.0398) q[2], q[4];
ry(0.6944) q[2];
ry(-0.451) q[4];
cry(0.4963) q[0], q[2];
cry(-0.3778) q[0], q[4];
cry(0.25... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 116.19971680641174} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
2e9df40997cb418d8be634dabc4b4463 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [471, 407], "expectation_value": -1.0310637834493213, "params": [0.22890000000000002, 0.2298, 0.2983, 0.30010000000000003, 0.3034, 0.29960000000000003, 0.23290000000000002, 0.23670000000000002, -0.006200000000000001, 0.00030000000000000003, 0.2967, 0.29650000000000004, 0.1739, 0.1708, 0.3018, 0.3044, 0.29810... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 13 | 10 | 3 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.90625, "smallest_bitstrings": ["1001101000", "0001111000", "1000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2289) q[0];
ry(0.2983) q[1];
ry(0.3034) q[2];
ry(0.2329) q[3];
ry(-0.0062) q[4];
ry(0.2967) q[5];
ry(0.1739) q[6];
ry(0.3018) q[7];
ry(0.2981) q[8];
ry(0.2858) q[9];
crz(0.0093) q[9], q[0];
crz(0.018) q[8], q[9];
crz(0.0418) q[7], q[8];
crz(0.0716) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
6db46fc059c6f81124803e34100362dc | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [2994, 2998], "expectation_value": -1.7348022071094618, "params": [1.0886, 0.3769, 0.6900000000000001, 0.42010000000000003, 1.3024, 0.2253, 1.0682, 0.3103, 1.298, -0.0123, 0.0553, 0.6638000000000001, 1.3036, 0.32270000000000004, 1.2997, -0.0978, 0.48200000000000004, -0.4751, 0.8933000000000001, -0.375, 1.297... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 16 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0886) q[0];
rz(0.3769) q[0];
rx(0.69) q[1];
rz(0.4201) q[1];
rx(1.3024) q[2];
rz(0.2253) q[2];
rx(1.0682) q[3];
rz(0.3103) q[3];
rx(1.298) q[4];
rz(-0.0123) q[4];
rx(0.0553) q[5];
rz(0.6638) q[5];
rx(1.3036) q[6];
rz(0.3227) q[6];
rx(1.2997) 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": []} |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [0, 4091], "expectation_value": -8.293861225183647, "params": [0.1365, 0.18460000000000001, -0.0055000000000000005, 0.0028, 0.3078, 0.6061000000000001, -0.5849, 0.0034000000000000002, -0.8523000000000001, 0.306, 0.5861000000000001, 0.0027, 0.8951, 0.0936, 0.1126, 0.0022, 0.9142, 0.6549, 0.2616, 0.0091, 0.920... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(11)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1365) q[0];
rz(0.1846) q[0];
rx(0.3078) q[1];
rz(0.6061) q[1];
rx(-0.8523) q[2];
rz(0.306) q[2];
rx(0.8951) q[3];
rz(0.0936) q[3];
rx(0.9142) q[4];
rz(0.6549) q[4];
rx(0.9203) q[5];
rz(1.0104) q[5];
rx(-0.9203) q[6];
rz(1.1909) q[6];
rx(0.9397) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
3369282170919035525 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 4, 5, 6], [1, 2, 3, 4, 5], [0, 2, 3], [0, 1, 4], [1, 2, 3, 5, 6], [1, 4, 5, 6]]} | {"states": [79, 115], "expectation_value": -0.8103732015639217, "params": [[0.37870000000000004], [-0.38380000000000003]], "bitstrings": ["0110000", "0001100"], "total_optimization_steps": 40, "probabilities": [0.018642247827594525, 0.018642247827594525], "optimization_time": 2.6163887977600098} | 0.31666666666666665 * (Z(2) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.1 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5166666666666668, -1.5166666666666668], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5166666666666664, "smallest_bitstrings": ["0001100", "0010100"]} | 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[2];
rz(0.2398) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0757) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0757) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.1136) q[5];
cx q[3], q[5];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
34d5572b76d7f2cf8fff76cf9b8932fe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [15, 47], "expectation_value": -3.0096183963323107, "params": [0.2675, -0.4602, 0.2743, 0.0015, 0.09230000000000001, 0.5351, 0.08800000000000001, 0.0098, 0.8842000000000001, 0.21050000000000002, 0.8240000000000001, 0.0089, -0.0004, 0.526, -0.0007, 0.00030000000000000003, 0.9086000000000001, 0.2255, 0.9119, 0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -1.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2675) q[0];
rz(-0.4602) q[0];
rx(0.0923) q[1];
rz(0.5351) q[1];
rx(0.8842) q[2];
rz(0.2105) q[2];
rx(-0.0004) q[3];
rz(0.526) q[3];
rx(0.9086) q[4];
rz(0.2255) q[4];
rx(0.9116) q[5];
rz(0.2252) q[5];
rx(0.9058) q[6];
rz(0.3316) q[6];
rx(0.9111) 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": []} |
ff4d8612be902cee01cbb69055101657 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [36, 44], "expectation_value": -2.3167309858035594, "params": [[[0.6076, 0.0014], [0.3057, -0.0935], [0.603, -0.0021000000000000003], [0.6047, -0.0022], [-0.0119, 0.3134], [0.029500000000000002, -0.2741]], [[0.6075, 0.0014], [0.3083, -0.0935], [0.6015, -0.0021000000000000003], [0.6056, -0.0022], [-0.0193, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.6076) q[0];
rz(0.0014) q[0];
rx(0.3057) q[1];
rz(-0.0935) q[1];
rx(0.603) q[2];
rz(-0.0021) q[2];
rx(0.6047) q[3];
rz(-0.0022) q[3];
rx(-0.0119) q[4];
rz(0.3134) q[4];
rx(0.0295) q[5];
rz(-0.2741) q[5];
rx(0.6075) q[0];
rz(0.0014) q[0];
rx(0.3083) q[1];
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": []} |
3928188676e428b6c75c7255e5b5e044 | 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": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -13.661318281069706, "params": [[[-0.0083, -0.7962, 0.01, 0.0082], [1.1401000000000001, 1.0427, 0.0172, 1.3056], [0.3831, -0.09230000000000001, 0.385, 0.0543], [0.002, -0.2235, 0.0018000000000000002, 1.1323], [-0.0027, 2.0678, -0.003, -0.7566], [-1.3205, -0.07400000000000001, ... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 11 | 9 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0083) q[0];
rz(-0.7962) q[0];
ry(1.1401) q[1];
rz(1.0427) q[1];
ry(0.3831) q[2];
rz(-0.0923) q[2];
ry(0.002) q[3];
rz(-0.2235) q[3];
ry(-0.0027) q[4];
rz(2.0678) q[4];
ry(-1.3205) q[5];
rz(-0.074) q[5];
ry(-0.0027) q[6];
rz(2.0642) q[6];
ry(-0.0022) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
8321286015559293990 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6], [1, 4], [8, 2], [3, 5], [1, 7]]} | {"states": [51, 307], "expectation_value": -2.1241790393576885, "params": null, "bitstrings": ["111001100", "011001100"], "total_optimization_steps": 75, "probabilities": [0.04297056155057844, 0.6410793128584719], "optimization_time": 121.57599353790283} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | 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[1];
cry(-1.0342) q[8], q[2];
cry(-1.0342) q[3], q[5];
ry(0.971) q[3];
ry(-0.6611) q[5];
ry(0.7003) q[7];
cry(-0.7092) q[4], q[1];
cry(1.1516) q[7], q[4];
ry(0.7003) 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];\ncry(-1.0342) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
be7e2cb61602e2e9b2101189bb676973 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [511, 479], "expectation_value": -16.237452723798473, "params": [[[0.0038, -0.0033], [-0.006, 0.0023], [-0.0048000000000000004, 0.0021000000000000003], [0.0045000000000000005, -0.0023], [-0.6142000000000001, -0.0027], [0.0048000000000000004, 0.0029000000000000002], [0.0105, 0.0022], [0.0033, 0.00240000000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 15 | 10 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0038) q[0];
ry(-0.006) q[1];
ry(-0.0048) q[2];
ry(0.0045) q[3];
ry(-0.6142) q[4];
ry(0.0048) q[5];
ry(0.0105) q[6];
ry(0.0033) q[7];
ry(1.5734) q[8];
ry(-0.0736) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
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