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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [12, 6], "expectation_value": -0.09779221681020439, "params": [[-0.0752], [0.0786]], "bitstrings": ["10011", "11001"], "total_optimization_steps": 10, "probabilities": [0.033852515215511005, 0.03385251521551101], "optimization_time": 0.8225200176239014} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "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];
cx q[2], q[0];
rz(-0.0752) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0752) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0752) q[4];
cx q[2], q[4];
cx q[3], q[4];
rz(-0.0752) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0752) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2... | null | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | 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": 5}, {"source": 1, "target": 6}, ... | {"states": [117, 116], "expectation_value": -2.923597125300558, "params": [0.0001, 0.6259, 0.7163, 0.2745, 0.9921000000000001, -0.0001, 0.9987, 0.0032, 0.0032, -0.6583, 0.9113, -0.0054, 0.0044, 0.6416000000000001, 0.4665, 0.5345, 0.0034000000000000002, 0.6345000000000001, 0.7113, 0.37, 0.9939, 0.0013000000000000002, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["11001010", "01101010", "10011001", "10001110", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0001) q[0];
rz(0.6259) q[0];
rx(0.7163) q[1];
rz(0.2745) q[1];
rx(0.9921) q[2];
rz(-0.0001) q[2];
rx(0.9987) q[3];
rz(0.0032) q[3];
rx(0.0032) q[4];
rz(-0.6583) q[4];
rx(0.9113) q[5];
rz(-0.0054) q[5];
rx(0.0044) q[6];
rz(0.6416) q[6];
rx(0.4665) 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": []} |
190b9e209adb3e0aadea8d3d462a7035 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [511, 509], "expectation_value": -16.64164062168813, "params": [[[0.0023, 2.6012], [-0.0031000000000000003, 0.0032], [0.0031000000000000003, 0.0029000000000000002], [-0.0022, -0.0026000000000000003], [0.0025, 0.0022], [0.002, 0.0024000000000000002], [-0.23450000000000001, 0.2412], [0.0029000000000000002, 1.5... | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0023) q[0];
ry(-0.0031) q[1];
ry(0.0031) q[2];
ry(-0.0022) q[3];
ry(0.0025) q[4];
ry(0.002) q[5];
ry(-0.2345) q[6];
ry(0.0029) q[7];
ry(0.0025) 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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 9} | {"circuits": [], "gradients": []} |
-3884692670228292197 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5], [8, 7], [2, 7], [1, 4], [4, 6], [1, 3], [0, 7], [1, 2], [4, 7], [3, 4], [3, 6], [0, 5], [0, 6], [1, 5], [1, 6], [0, 4], [8, 5], [2, 4]]} | {"states": [78, 110], "expectation_value": -0.2986124624552821, "params": [0.6849000000000001, 0.0026000000000000003, 0.6743, 0.0067, 0.6982, 0.0033, 0.6936, 0.0076, 0.7071000000000001, 0.0049, 0.7005, 0.006, 0.7016, 0.0029000000000000002, 0.6992, 0.004, 0.7009000000000001, 0.0039000000000000003, 0.6940000000000001, 0.... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["110010001", "001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6849) q[0];
rz(0.0026) q[0];
rx(0.6982) q[1];
rz(0.0033) q[1];
rx(0.7071) q[2];
rz(0.0049) q[2];
rx(0.7016) q[3];
rz(0.0029) q[3];
rx(0.7009) q[4];
rz(0.0039) q[4];
rx(0.7069) q[5];
rz(0.0033) q[5];
rx(0.707) q[6];
rz(0.0029) q[6];
rx(0.7037) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dba6edf645eaaf1a507a17055e7164ef | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [22, 52], "expectation_value": -4.496397968981428, "params": null, "bitstrings": ["1101001", "1001011"], "total_optimization_steps": 29, "probabilities": [0.06635229782529356, 0.9303266216085108], "optimization_time": 22.35496497154236} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101001", "0110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[6];
ry(-1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-1.0343) q[1], q[5];
ry(0.7003) q[1];
cry(-0.1259) q[4], q[3];
ry(-0.4549) q[5];
cry(0.4962) q[4], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6097cf775599b8557e7af2c2f7eca9b3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [747, 683], "expectation_value": -0.9160209806863316, "params": [1.7064000000000001, 0.0039000000000000003, 0.8822000000000001, 0.0043, 1.7092, 0.0041, 1.4773, 0.0099, 1.7075, 0.0037, -0.0026000000000000003, 0.0079, 1.7089, 0.0092, 1.4758, 0.0011, 1.7094, 0.002, 1.6998, 0.0032, 0.0082, 0.0054, 0.0005, 0.0046... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(4... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["0101010100", "0011010010", "0100110100", "1000010110", "0101010001", "0111010000", "1100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.7064) q[0];
rz(0.0039) q[0];
rx(0.8822) q[1];
rz(0.0043) q[1];
rx(1.7092) q[2];
rz(0.0041) q[2];
rx(1.4773) q[3];
rz(0.0099) q[3];
rx(1.7075) q[4];
rz(0.0037) q[4];
rx(-0.0026) q[5];
rz(0.0079) q[5];
rx(1.7089) q[6];
rz(0.0092) q[6];
rx(1.4758) 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": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 20.109102487564087} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.5486) q[3];
ry(-1.5486) q[5];
ry(1.4448) q[4];
ry(1.4447) q[2];
ry(1.4447) q[0];
cry(0.1189) q[4], q[0];
cry(0.119) q[0], q[2];
cry(0.1187) q[2], q[4];
cry(-0.0222) q[4], q[3];
cry(-0.0222... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2708e64afd9eb73eacbeb72ef9f331f9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [496, 2032], "expectation_value": -14.290937598411729, "params": null, "bitstrings": ["11000001111", "00000001111"], "total_optimization_steps": 100, "probabilities": [0.156095067914464, 0.5747969086821703], "optimization_time": 250.37662434577942} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(10)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-1.5708) q[9];
ry(-1.5577) q[10];
cry(1.5708) q[2], q[3];
ry(1.0383) q[2];
cry(1.5708) q[3], q[6];
cry(0.2441) q[6], q[3];
cry(1.5706) q[2], q[5];
cry(1.5704) q[3], q... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5708) q[9];\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] = m... |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [238, 350], "expectation_value": -1.482078493375745, "params": [[0.0649, 0.0632, 0.0668, 0.0789], [-0.0651, -0.055, -0.054900000000000004, -0.068]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.0048005422658930885, 0.0048005422658930885], "optimization_time": ... | 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0649) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0649) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0649) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.0324) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
6272802841015324019 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]} | {"states": [47, 45], "expectation_value": -0.9106577757397295, "params": [[[0.47700000000000004, 0.006], [2.7037, 0.009600000000000001], [1.5012, 0.007], [2.6796, 0.0051], [2.3451, 0.0079], [1.5215, 0.0044], [2.6176, 0.006900000000000001]]], "bitstrings": ["1010000", "1010010"], "total_optimization_steps": 270, "probab... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4999999999999996, "smallest_bitstrings": ["0101000", "1010010", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.477) q[0];
rz(0.006) q[0];
rx(2.7037) q[1];
rz(0.0096) q[1];
rx(1.5012) q[2];
rz(0.007) q[2];
rx(2.6796) q[3];
rz(0.0051) q[3];
rx(2.3451) q[4];
rz(0.0079) q[4];
rx(1.5215) q[5];
rz(0.0044) q[5];
rx(2.6176) q[6];
rz(0.0069) q[6];
c[0] = measure q[0];
c[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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.018096415705997126, "params": [[-0.0436], [0.0523]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.0642018573501036, 0.06420185735010361], "optimization_time": 0.5506319999694824} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.0436) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0436) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0436) q[3];
cx q[1], q[3];
rz(0.0436) q[2];
rz(0) q[0];
rz(0.0436) q[1];
rz(0) q[3];
h q[0];
rz(0.1046) q[0];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
rz(x1) q[2];
rz(x2)... | null | {"circuits": [], "gradients": []} |
e592ce7faa840b360149bc8638b2e9c9 | 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": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -34.79550792000907, "params": [[[-0.0091, 0.0026000000000000003], [-0.0029000000000000002, 0.0053], [0.0091, 0.0024000000000000002], [-0.0013000000000000002, 0.0025], [-0.0109, 0.0024000000000000002], [-0.006900000000000001, -0.0022], [0.003, 0.0023], [-0.0071, 0.0023], [0.... | -0.5 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(1)) + -1.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + -2.75 * (Z(9) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(6)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-35.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0091) q[0];
ry(-0.0029) q[1];
ry(0.0091) q[2];
ry(-0.0013) q[3];
ry(-0.0109) q[4];
ry(-0.0069) q[5];
ry(0.003) q[6];
ry(-0.0071) q[7];
ry(0.0014) q[8];
ry(-1.5658) q[9];
ry(0.0016) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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": 10} | {"circuits": [], "gradients": []} |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 255], "expectation_value": -0.22049349733622065, "params": [[-0.0441, -0.0038, 0.047], [0.0632, 0.0313, -0.0297]], "bitstrings": ["110010000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023562433997126745, 0.0023927661772826987], "optimization_time": 5.853492975234985} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0441) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0662) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(0.0441) q[7];
cx q[1], q[7];
cx q[1], q[2];
rz(0.0221) q[2];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -1.2580048272006277, "params": [[-0.0755, -0.055600000000000004], [0.0772, 0.068]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.027645202054498268, 0.03069147811787762], "optimization_time": 2.583245038986206} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | 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(0.151) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1132) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1132) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.1132) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.1132)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-3206499543478865120 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[4, 5, 9, 12, 13], [11, 3, 12, 13], [0, 8, 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 13], [0, 1, 4, 6, 9, 12, 13], [2, 3, 4, 8, 9, 10, 13], [0, 4, 5, 6, 8, 12, 13], [1, 3, 4, 5, 8, 10, 12, 13], [8, 11], [9, 10, 12, 1], [0, 3, 5, 6, 7, 10, 11, 13], [0... | {"states": [11883, 15979], "expectation_value": -2.663602550476766, "params": [1.5746, 1.5735000000000001, 0.8833000000000001, 0.8792000000000001, 1.8145, 1.3435000000000001, 1.8549, 1.3004, 1.1918, 1.1324, 0.3517, 0.22710000000000002, 0.2054, 0.1971, 1.899, 1.2431, 1.5616, 1.5586, 0.19440000000000002, 0.19410000000000... | 0.10075757575757577 * (Z(4) @ Z(5)) + 0.05 * (Z(9) @ Z(5)) + 0.09761904761904762 * (Z(9) @ Z(4)) + 0.09166666666666667 * (Z(12) @ Z(5)) + 0.11547619047619048 * (Z(12) @ Z(4)) + 0.15714285714285714 * (Z(12) @ Z(9)) + 0.11861471861471862 * (Z(13) @ Z(5)) + 0.16226551226551228 * (Z(13) @ Z(4)) + 0.09761904761904762 * (Z(1... | 13 | 14 | 1 | {"smallest_eigenvalues": [-2.804112554112494], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7859307359306045, "smallest_bitstrings": ["00000110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(1.5746) q[0];
ry(0.8833) q[1];
ry(1.8145) q[2];
ry(1.8549) q[3];
ry(1.1918) q[4];
ry(0.3517) q[5];
ry(0.2054) q[6];
ry(1.899) q[7];
ry(1.5616) q[8];
ry(0.1944) q[9];
ry(1.5876) q[10];
ry(0.0062) q[11];
ry(1.5473) q[12];
ry(1.5765) q[13];
crz(-0.0018) q[13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
06452936e8d3a7a39aff75e9a51ed743 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 14, "source": 1, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -58.93227997517502, "params": [0.9969, 0.07010000000000001, 1.0012, 0.0036000000000000003, 1.0064, 0.0014, 0.9951000000000001, 0.005200000000000001, 0.9999, -0.0013000000000000002, 0.9959, 0.0019, 1.0026000000000002, 0.0099, 0.9948, 0.0, 1.0008000000000001, 0.0300000000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 10.0 * Z(1) + 8.5 * Z(0) + 18.0 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9969) q[0];
rz(0.0701) q[0];
rx(1.0064) q[1];
rz(0.0014) q[1];
rx(0.9999) q[2];
rz(-0.0013) q[2];
rx(1.0026) q[3];
rz(0.0099) q[3];
rx(1.0008) q[4];
rz(0.03) q[4];
rx(1.0032) q[5];
rz(0.0057) q[5];
rx(0.9966) q[6];
rz(0.0093) q[6];
rx(0.9995) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 6.0240185260772705} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[1], q[2];
cry(0.1188) q[2], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[2], q[3];
cry(0.0072) q[0], q[2];
cry(0.0067) q[1], q[0];
cry(0.0067) q[... | 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[3];\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];\... |
-5005985748861774082 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5], [5, 6], [0, 1], [8, 6], [2, 3], [2, 4], [1, 7], [8, 4], [3, 4], [8, 1], [0, 7], [8, 2], [2, 7], [9, 2], [9, 7], [1, 2], [0, 8]]} | {"states": [339, 684], "expectation_value": -0.2023742278004806, "params": [[0.07640000000000001], [-0.08070000000000001]], "bitstrings": ["1010101100", "0101010011"], "total_optimization_steps": 10, "probabilities": [0.0012064327650047853, 0.0012064327650047853], "optimization_time": 2.374912977218628} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110101001", "1110101000", "0010010110", "1100101001", "0101010111", "1101101001", "0101010011", "0101010110", "0001... | 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[5], q[0];
rz(0.0764) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(0.0764) q[6];
cx q[5], q[6];
cx q[0], q[1];
rz(0.0764) q[1];
cx q[0], q[1];
cx q[0], q[8];
rz(0.0764) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[1];
rz(x0) q[1];
cx q... | null | {"circuits": [], "gradients": []} |
4a01a984c253fac78cca60269d01efc1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [724, 726], "expectation_value": -2.2309460308631333, "params": [[[1.5718, 0.5045000000000001], [-0.18960000000000002, 0.5357000000000001], [1.5821, -1.5641], [-1.1273, 1.5774000000000001], [1.5730000000000002, 1.5730000000000002], [1.5721, 1.5735000000000001], [1.5732000000000002, 1.5727], [1.5744, 1.5736],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001010", "0100011010", "0100101010", "0100101001", "0110000110", "0111000010", "0110001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5718) q[0];
ry(-0.1896) q[1];
ry(1.5821) q[2];
ry(-1.1273) q[3];
ry(1.573) q[4];
ry(1.5721) q[5];
ry(1.5732) q[6];
ry(1.5744) q[7];
ry(1.573) q[8];
ry(1.5738) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
7d2e8354bbcbc456262414017816878c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [18, 82], "expectation_value": -5.725383263903246, "params": [0.8308000000000001, 0.0017000000000000001, 0.09530000000000001, 0.0014, 0.9054000000000001, -0.0047, -0.0049, 0.46990000000000004, 0.5501, -0.2023, 0.9071, 0.0398, 0.10260000000000001, 0.37520000000000003, 0.8338, 0.0032, 0.2016, 0.003600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 4 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8308) q[0];
rz(0.0017) q[0];
rx(0.0953) q[1];
rz(0.0014) q[1];
rx(0.9054) q[2];
rz(-0.0047) q[2];
rx(-0.0049) q[3];
rz(0.4699) q[3];
rx(0.5501) q[4];
rz(-0.2023) q[4];
rx(0.9071) q[5];
rz(0.0398) q[5];
rx(0.1026) q[6];
rz(0.3752) q[6];
crx(-0.8766) 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": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -8.31151046398279, "params": [[[0.0015, 0.006], [1.6013000000000002, 0.0004], [0.0026000000000000003, 0.0012000000000000001], [0.0026000000000000003, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [0.0023, 0.006900000000000001], [-1.589, 0.0027]]], "bitstrings": ["101... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0015) q[0];
rz(0.006) q[0];
rx(1.6013) q[1];
rz(0.0004) q[1];
rx(0.0026) q[2];
rz(0.0012) q[2];
rx(0.0026) q[3];
rz(0.0012) q[3];
rx(0.0026) q[4];
rz(0.0041) q[4];
rx(0.0023) q[5];
rz(0.0069) q[5];
rx(-1.589) q[6];
rz(0.0027) q[6];
c[0] = measure q[0];
c[... | 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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4956b44a15796d9b5317bf40a3232de2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [60, 63], "expectation_value": -16.151911854468594, "params": null, "bitstrings": ["111000011", "111000000"], "total_optimization_steps": 100, "probabilities": [0.12763937895323588, 0.5236100508860712], "optimization_time": 140.72284388542175} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[1];
ry(-1.5577) q[2];
ry(-1.5708) q[0];
cry(1.5706) q[3], q[4];
cry(1.5708) q[4], q[5];
cry(1.2391) q[5], q[3];
cry(1.5708) q[4], q[6];
ry(-0.9664) q[4];
cry(0.1667) q[6], q[... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
-8441530759867864730 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 5], [2, 4], [0, 6], [0, 1, 7], [2, 7], [8, 9], [0, 3, 4], [4, 7], [4, 6], [3, 7], [1, 6], [2, 3], [8, 5, 7], [0, 1, 4], [9, 7], [9, 6], [0, 2], [8, 3, 6], [0, 1, 5], [0, 5, 7], [8, 6, 7]]} | {"states": [883, 867], "expectation_value": -5.194248180885854, "params": [2.4928, 0.1384, 0.6366, 0.007200000000000001, 2.5003, 0.193, 0.633, 0.0009000000000000001, 0.0028, -0.6317, -0.0029000000000000002, 0.0009000000000000001, 2.3277, 0.1144, 0.8151, 0.0077, 2.4603, 0.1302, 0.6802, 0.0041, 2.3661000000000003, -0.434... | 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333336, "smallest_bitstrings": ["0010011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.4928) q[0];
rz(0.1384) q[0];
rx(2.5003) q[1];
rz(0.193) q[1];
rx(0.0028) q[2];
rz(-0.6317) q[2];
rx(2.3277) q[3];
rz(0.1144) q[3];
rx(2.4603) q[4];
rz(0.1302) q[4];
rx(2.3661) q[5];
rz(-0.4341) q[5];
rx(-0.0034) q[6];
rz(-2.1838) q[6];
rx(-0.003) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -4.334305850783709, "params": [[0.0692, 0.0557, 0.048, 0.0385], [-0.08660000000000001, -0.0815, -0.07730000000000001, -0.0663]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.0825188634245809, 0.08558789646404728], "optimization_time": 6.1... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2422) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2422) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2422) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2768) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2422) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
1480054533096559666 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 7, 8, 11], [10, 7], [1, 3, 5, 6, 8, 9], [2, 4, 6, 7, 8, 9, 11], [1, 2], [0, 1, 4, 5, 6, 7, 9, 11], [2, 3, 4, 7, 8], [0, 2, 4, 8, 10], [0, 2, 4, 8, 9], [0, 1, 4, 5, 6, 8, 11]]} | {"states": [2936, 2937], "expectation_value": -2.36859104954537, "params": [1.5716, -0.0023, 1.5668, 0.0019, -0.0022, -0.4622, 0.2111, -0.011600000000000001, 1.4484000000000001, 0.0085, 1.449, 0.0089, 1.7783, 0.6292, 1.7463000000000002, 0.8853000000000001, 0.5496, -0.7357, 0.5444, 0.0095, 1.0493000000000001, 0.0634, 1.... | 0.075 * (Z(0) @ Z(1)) + 0.075 * (Z(4) @ Z(1)) + 0.17500000000000002 * (Z(4) @ Z(0)) + 0.05119047619047619 * (Z(7) @ Z(1)) + 0.05119047619047619 * (Z(7) @ Z(0)) + 0.125 * (Z(7) @ Z(4)) + 0.09047619047619047 * (Z(8) @ Z(1)) + 0.15714285714285717 * (Z(8) @ Z(0)) + 0.23095238095238094 * (Z(8) @ Z(4)) + 0.10714285714285715 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.541666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.526190476190476, "smallest_bitstrings": ["010010000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5716) q[0];
rz(-0.0023) q[0];
rx(-0.0022) q[1];
rz(-0.4622) q[1];
rx(1.4484) q[2];
rz(0.0085) q[2];
rx(1.7783) q[3];
rz(0.6292) q[3];
rx(0.5496) q[4];
rz(-0.7357) q[4];
rx(1.0493) q[5];
rz(0.0634) q[5];
rx(1.5792) q[6];
rz(0.0018) q[6];
rx(1.2938) 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": []} |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [1279, 3327], "expectation_value": -25.170986779689546, "params": [1.0355, 0.0235, -0.5311, 0.0009000000000000001, 0.9143, 0.023100000000000002, -0.4661, 0.0056, 1.1962000000000002, 0.026500000000000003, 0.3814, 0.0013000000000000002, 1.1901000000000002, 0.0502, 1.1860000000000002, 0.0046, 1.2003000000000001... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 6 | 14 | 1 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(1.0355) q[0];
rz(0.0235) q[0];
rx(0.9143) q[1];
rz(0.0231) q[1];
rx(1.1962) q[2];
rz(0.0265) q[2];
rx(1.1901) q[3];
rz(0.0502) q[3];
rx(1.2003) q[4];
rz(0.1456) q[4];
rx(1.1762) q[5];
rz(0.0468) q[5];
rx(1.1999) q[6];
rz(0.02) q[6];
rx(1.1968) 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": 5} | {"circuits": [], "gradients": []} |
-8764964446550249972 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 8], [8, 1], [4, 5], [4, 7], [5, 6], [8, 2, 4], [0, 1], [3, 6], [1, 5], [8, 7], [3, 7], [1, 7]]} | {"states": [181, 149], "expectation_value": -0.1275252550691157, "params": [[0.0709], [-0.0736]], "bitstrings": ["101001010", "101101010"], "total_optimization_steps": 10, "probabilities": [0.002312394766442848, 0.002314244204989908], "optimization_time": 0.7580804824829102} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332, -4.333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["101101010", "101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(0.0709) q[2];
cx q[6], q[2];
cx q[2], q[8];
rz(0.0236) q[8];
cx q[2], q[8];
cx q[8], q[0];
rz(0.0709) q[0];
cx q[8], q[0];
cx q[8], q[1];
rz(0.0709) q[1];
cx q[8], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[2], q[8];
rz(x1) q[8];
cx q[2], q[8];
cx q[8], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
-4957161269356865713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2], [8, 2, 7], [1, 4], [3, 7], [0, 2], [3, 6], [2, 3, 5], [3, 4], [0, 4], [1, 6], [8, 5, 6], [0, 6], [1, 5, 7], [0, 1], [2, 4, 5], [0, 5], [8, 3], [1, 2, 3], [8, 4, 7]]} | {"states": [223, 95], "expectation_value": -4.331013561316132, "params": [0.3809, -0.0036000000000000003, 0.19820000000000002, 0.0028, 1.2993000000000001, -0.0022, 1.3027, 0.0061, 1.2931000000000001, -0.0051, 1.2601, 0.0067, 0.8859, 0.003, 0.4788, 0.0024000000000000002, 1.2964, -0.0004, 1.2371, 0.0077, 1.2968, 0.002100... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(2))... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666667, "smallest_bitstrings": ["110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3809) q[0];
rz(-0.0036) q[0];
rx(1.2993) q[1];
rz(-0.0022) q[1];
rx(1.2931) q[2];
rz(-0.0051) q[2];
rx(0.8859) q[3];
rz(0.003) q[3];
rx(1.2964) q[4];
rz(-0.0004) q[4];
rx(1.2968) q[5];
rz(0.0021) q[5];
rx(1.2923) q[6];
rz(0.0009) q[6];
rx(1.2996) 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": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.016480130770605197, "params": [[-0.0789], [0.07050000000000001]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002608713993931665, 0.00026087139939316663], "optimization_time": 5.712351083755493} | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0394) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.5616933402987163, "params": [[-0.0536, -0.0584, -0.06520000000000001, -0.0824], [0.06520000000000001, 0.057, 0.061000000000000006, 0.07050000000000001]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.027589711388470935, 0.03097425... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "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(0.0804) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0268) q[1];
cx q[3], q[1];
cx q[1], q[4];
rz(0.1608) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(0.0268) q[6];
cx q[3], q[6];
cx q[0], q[6];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
05645ce1d25506f493affbb8923caf54 | 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": [1253, 1189], "expectation_value": -72.86124850153011, "params": [0.6038, 0.0698, 0.0005, 0.35550000000000004, 0.29000000000000004, 0.22490000000000002, 0.6048, 0.07350000000000001, 0.37570000000000003, 0.1592, 0.6021000000000001, -0.12710000000000002, -0.0017000000000000001, -0.32580000000000003, 0.2973, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(1) + 9.5 * Z(0) + 17.0 * Z(3) + 2.0 * Z(2) + 4.5 * Z(4) + 7.5 * Z(5) + -3.5 * Z(6) + 1.5... | 18 | 11 | 4 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["01101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6038) q[0];
rz(0.0698) q[0];
rx(0.0005) q[1];
rz(0.3555) q[1];
rx(0.29) q[2];
rz(0.2249) q[2];
rx(0.6048) q[3];
rz(0.0735) q[3];
rx(0.3757) q[4];
rz(0.1592) q[4];
rx(0.6021) q[5];
rz(-0.1271) q[5];
rx(-0.0017) q[6];
rz(-0.3258) q[6];
rx(0.2973) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"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": []} |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -6.268873105079745, "params": [[-0.0631, -0.06520000000000001, -0.0413, -0.0582], [0.07400000000000001, 0.076, 0.0601, 0.0653]], "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 10, "probabilities": [0.039362245269864954, 0.04195247831879734], "optimization_tim... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 4 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1262) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0631) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1262) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
837aef83bf03fd18b079a281d9de166f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [123, 122], "expectation_value": -70.27104255031055, "params": [0.29350000000000004, -0.5115000000000001, 1.1002, 0.0061, 1.0466, -0.0034000000000000002, 1.0471000000000001, 0.0092, 1.0443, -0.17400000000000002, -0.004, -0.6144000000000001, 1.0646, 0.0082, 0.44770000000000004, -0.42710000000000004, 0.2881, -... | 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(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2935) q[0];
rz(-0.5115) q[0];
rx(1.1002) q[1];
rz(0.0061) q[1];
rx(1.0466) q[2];
rz(-0.0034) q[2];
rx(1.0471) q[3];
rz(0.0092) q[3];
rx(1.0443) q[4];
rz(-0.174) q[4];
rx(-0.004) q[5];
rz(-0.6144) q[5];
rx(1.0646) q[6];
rz(0.0082) q[6];
rx(0.4477) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5fb7d8d9ff75f939abcd806fd5ddfb77 | connected_components | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [3, 31], "expectation_value": -0.4838775316771051, "params": [[0.0699], [-0.0673]], "bitstrings": ["11100", "00000"], "total_optimization_steps": 10, "probabilities": [0.03908947495033893, 0.0397799841492561], "optimization_time": 0.9418478012084961} | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[0], q[1];
rz(-0.2796) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.2097) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(-0.2796) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.1398) q[3];
cx q[4], q[3];
rz(0.1398) q[0];
rz(-0.2097)... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[2];... | {"node": 0} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 5.625849485397339} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"]} | 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(-1.4449) q[2];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[3];
ry(-0.4578) q[1];
cry(0.4969) q[0], q[3];
cry(-0.3761) q[0], q[1];
cry(-0.1216) q[0], q[2];
cry(0.1097) q[3], q[0];
cry(-0.0705) q[1], q[3];
cry(0.029)... | 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(-1.4449) 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];\... |
-443118916872246947 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 4, 7], [0, 1, 4, 5, 7], [0, 1, 3, 5], [1, 3, 5, 6], [3, 6, 7], [0, 1, 2, 6], [1, 2, 3, 4, 5], [2, 3, 6]]} | {"states": [191, 175], "expectation_value": -1.6243954634535138, "params": [1.3223, 0.1097, 1.3125, 0.005200000000000001, 1.0887, 0.4092, 0.8319000000000001, 0.006200000000000001, 1.3756000000000002, 0.0887, 1.3041, 0.0032, 1.3157, 0.4111, 0.8043, 0.0088, 1.3538000000000001, 0.1527, 1.3348, 0.0051, 1.3809, 0.1655, 1.34... | 0.3 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(6)) + 0.11666666666666667 * (Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.183333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.3223) q[0];
rz(0.1097) q[0];
rx(1.0887) q[1];
rz(0.4092) q[1];
rx(1.3756) q[2];
rz(0.0887) q[2];
rx(1.3157) q[3];
rz(0.4111) q[3];
rx(1.3538) q[4];
rz(0.1527) q[4];
rx(1.3809) q[5];
rz(0.1655) q[5];
rx(1.3769) q[6];
rz(0.0169) q[6];
rx(1.3762) 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": []} |
4db055da000fdb4a745c6538e81fa0cf | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [69, 85], "expectation_value": -4.414746775421944, "params": [[-0.010100000000000001, 0.1875, 0.6068, 0.0765, 0.6012000000000001, -0.0099, 0.6086, 0.0034000000000000002, 0.6022000000000001], [0.0211, 0.18560000000000001, 0.6033000000000001, 0.1405, 0.6069, -0.0038, 0.6078, -0.0006000000000000001, 0.602100000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(4) + -1.5 * Z(0) + -1.5 *... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["111101000", "110101010", "101101100", "100101110", "101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0101) q[0];
ry(0.1875) q[1];
ry(0.6068) q[2];
ry(0.0765) q[3];
ry(0.6012) q[4];
ry(-0.0099) q[5];
ry(0.6086) q[6];
ry(0.0034) q[7];
ry(0.6022) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -2.2065923315464033, "params": [[0.0426, 0.0645, 0.056900000000000006, 0.0345], [-0.0129, -0.0487, -0.0499, -0.0393]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 10, "probabilities": [0.036974112825723424, 0.037869010327825775], "optimization_time": 4.24868... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0213) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0852) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.1065) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.0639) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b859764cc810bb20378f19b6fa3fab8e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43609, 43605], "expectation_value": -1.6996007516667815, "params": null, "bitstrings": ["0101010110100110", "0101010110101010"], "total_optimization_steps": 100, "probabilities": [0.11715710808719348, 0.26465409216125485], "optimization_time": 931.8274528980255} | 0.25 * (Z(0) @ Z(1)) + -0.0010330578512396695 * (Z(2) @ Z(0)) + -0.0010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006198347107438016 * (Z(4) @ Z(0)) + 0.00025826446280991736 * (Z(4) @ Z(2)) + -0.0006198347107438016 * (Z(5) @ Z(1)) + 0.00025826446280991736 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0143595041321887], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0143595041321447, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5953) q[4], q[5];
cry(-0.5944) q[9], q[8];
cry(-0.5939) q[13], q[12];
cry(-0.5943) q[15], q[14];
cry(-0.594) q[11], q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5953) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [43, 59], "expectation_value": -6.093500954133412, "params": [0.0028, 1.3372000000000002, -0.060200000000000004, -0.6947, -0.9307000000000001, -0.2528, 0.9131, 0.5137, 1.1268, 0.199, -0.0037, 0.6255000000000001, 1.0582, 0.3793, -1.0370000000000001, 0.0007, 0.0028, 1.3409, 0.015000000000000001, -0.7107, -1.03... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 16 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(1.3372) q[0];
rx(-0.0602) q[1];
rz(-0.6947) q[1];
rx(-0.9307) q[2];
rz(-0.2528) q[2];
rx(0.9131) q[3];
rz(0.5137) q[3];
rx(1.1268) q[4];
rz(0.199) q[4];
rx(-0.0037) q[5];
rz(0.6255) q[5];
rx(1.0582) q[6];
rz(0.3793) q[6];
rx(-1.037) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
5837479114759974857 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 8], [8, 7], [1, 3]]} | {"states": [141, 373], "expectation_value": -1.166661673285079, "params": [[[1.6339000000000001, 0.0081], [3.1394, 0.008], [-0.0022, 0.003], [1.5285, 0.0005], [3.1387, 0.005200000000000001], [1.5770000000000002, 0.0024000000000000002], [3.1437, 0.0067], [3.1388000000000003, 0.0088], [3.1388000000000003, 0.0036000000000... | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.023809... | 2 | 9 | 1 | {"smallest_eigenvalues": [-1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.1904761904761902, "smallest_bitstrings": ["110000010", "010001010", "010000110", "010000001", "01001001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6339) q[0];
rz(0.0081) q[0];
rx(3.1394) q[1];
rz(0.008) q[1];
rx(-0.0022) q[2];
rz(0.003) q[2];
rx(1.5285) q[3];
rz(0.0005) q[3];
rx(3.1387) q[4];
rz(0.0052) q[4];
rx(1.577) q[5];
rz(0.0024) q[5];
rx(3.1437) q[6];
rz(0.0067) q[6];
rx(3.1388) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-2125662797775598836 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 2], [3, 5], [0, 4], [4, 6], [0, 7]]} | {"states": [45, 77], "expectation_value": -2.714297971973034, "params": null, "bitstrings": ["11010010", "10110010"], "total_optimization_steps": 57, "probabilities": [0.053478880312164356, 0.7636361762184474], "optimization_time": 67.20277380943298} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) | 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": ["00101101", "10110010", "11010010", "01001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[0];
cry(-1.0342) q[5], q[3];
ry(1.0293) q[5];
ry(-0.6992) q[3];
cry(-0.6534) q[4], q[0];
ry(0.9979) q[7];
cry(1.1473) q[7], q[4];
ry(-0.5076) q[0];
cry(-1.3843) q[4], q[6];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
840e9b519c64e36f0d06f3fa0fe64361 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 4}, {"weight": 14, "sourc... | {"states": [500, 244], "expectation_value": -38.88016221735804, "params": [1.5467, 0.0066, 2.5039000000000002, 0.0046, 1.6836, 0.0091, 2.4934000000000003, 0.0026000000000000003, 2.5057, 0.0037, 0.8792000000000001, 0.0034000000000000002, 2.4958, 0.0031000000000000003, -0.0028, 0.0022, -0.0025, 0.0007, 0.0055000000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-54.0, -54.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -51.0, "smallest_bitstrings": ["100001011", "101000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5467) q[0];
rz(0.0066) q[0];
rx(2.5039) q[1];
rz(0.0046) q[1];
rx(1.6836) q[2];
rz(0.0091) q[2];
rx(2.4934) q[3];
rz(0.0026) q[3];
rx(2.5057) q[4];
rz(0.0037) q[4];
rx(0.8792) q[5];
rz(0.0034) q[5];
rx(2.4958) q[6];
rz(0.0031) q[6];
rx(-0.0028) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-3689635752175617118 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 7], [1, 3, 8, 9, 10], [4, 5, 7], [1, 3, 4, 5, 6, 8, 9], [3, 4, 5, 8, 10], [0, 1, 5], [0, 1, 2, 3, 4, 6, 8, 10], [3, 7], [0, 1, 2, 4, 6, 9, 10], [1, 10, 3, 5], [0, 2, 3, 5, 6, 8, 10], [0, 4, 8, 9, 10]]} | {"states": [1529, 1401], "expectation_value": -3.211899053049105, "params": [1.5765, 1.5588000000000002, 0.0022, 0.0025, 1.5696, 1.5765, 0.7608, 0.7625000000000001, 1.5738, 1.5731000000000002, 1.5648, 1.5718, 1.5704, 1.5662, 1.6609, 1.4821, 0.0027, 0.0027, 0.0029000000000000002, 0.0029000000000000002, 1.6812, 1.4657, -... | 0.5 * (Z(2) @ Z(8)) + 0.175 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.225 * (Z(4) @ Z(2)) + 0.175 * (Z(4) @ Z(1)) + 0.19166666666666665 * (Z(9) @ Z(2)) + 0.09166666666666667 * (Z(9) @ Z(1)) + 0.16547619047619047 * (Z(9) @ Z(4)) + 0.12380952380952381 * (Z(10) @ Z(2)) + 0.09761904761904762 * (Z(10) @ Z(1)) + 0.0738095238... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.2488095238095243], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.201190476190477, "smallest_bitstrings": ["01010000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5765) q[0];
ry(0.0022) q[1];
ry(1.5696) q[2];
ry(0.7608) q[3];
ry(1.5738) q[4];
ry(1.5648) q[5];
ry(1.5704) q[6];
ry(1.6609) q[7];
ry(0.0027) q[8];
ry(0.0029) q[9];
ry(1.6812) q[10];
crz(-0.0006) q[10], q[0];
crz(1.5964) q[9], q[10];
crz(1.5528) 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": []} |
7f4c1e2c9bad0a6e0605fae9471bc9cf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [80, 89], "expectation_value": -6.999934073606576, "params": null, "bitstrings": ["0101111", "0100110"], "total_optimization_steps": 35, "probabilities": [1.3834091991385583e-05, 0.9999481838476324], "optimization_time": 40.294137477874756} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ 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(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(4) + 0.0 * Z(0) + -2.0 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(1.4449) q[0];
ry(1.4449) q[6];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(0.1187) q[3], q[6];
cry(0.1188) q[6], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186... | 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", ... |
8780253838377476036 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4, 5, 7], [8, 0, 2, 7], [2, 3, 5, 6, 7, 10], [1, 2, 3, 6, 7, 8, 9, 10], [0, 1, 2, 3, 5, 6, 8, 9, 10], [1, 4, 5, 6, 7, 10], [2, 4, 7, 8, 9], [0, 10, 4, 6], [4, 5, 7, 9, 10]]} | {"states": [2037, 2021], "expectation_value": -1.2951409505242426, "params": [2.6386000000000003, 0.0015, 2.6189, 0.0078000000000000005, 2.6229, 0.0071, 2.6417, 0.0018000000000000002, 1.5882, 0.0063, 1.5886, 0.0061, 1.5692000000000002, 0.0041, 1.5525, 0.004200000000000001, 2.4869000000000003, 0.0094, 1.5232, 0.00620000... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666669 * (Z(6) @ Z(5)) + 0.09722222222222221 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.2 * (Z(8) @ Z(6)) + 0.05 * (Z(9) @ Z(5)) + 0.09722222222222221 * (Z(9) @ Z(0)) + 0.013888888888888888 * (Z(9) @ Z(6)) + 0.151190... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.8952380952380954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8952380952380952, "smallest_bitstrings": ["00000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.6386) q[0];
rz(0.0015) q[0];
rx(2.6189) q[1];
rz(0.0078) q[1];
rx(2.6229) q[2];
rz(0.0071) q[2];
rx(2.6417) q[3];
rz(0.0018) q[3];
rx(1.5882) q[4];
rz(0.0063) q[4];
rx(1.5886) q[5];
rz(0.0061) q[5];
rx(1.5692) q[6];
rz(0.0041) q[6];
rx(1.5525) 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": []} |
347cd23786ada5a7ec96f3799dd0d8dc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [119, 117], "expectation_value": -63.64160765601912, "params": [0.1918, 0.3236, 0.7902, 0.0009000000000000001, 0.7911, 0.0079, 0.7878000000000001, -0.0379, 0.1778, -0.2429, 0.7869, 0.1095, 0.34690000000000004, 0.2501, 0.7873, 0.1022, 0.1864, 0.32120000000000004, 0.7867000000000001, -0.002, 0.7903, 0.0067, 0.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1918) q[0];
rz(0.3236) q[0];
rx(0.7902) q[1];
rz(0.0009) q[1];
rx(0.7911) q[2];
rz(0.0079) q[2];
rx(0.7878) q[3];
rz(-0.0379) q[3];
rx(0.1778) q[4];
rz(-0.2429) q[4];
rx(0.7869) q[5];
rz(0.1095) q[5];
rx(0.3469) q[6];
rz(0.2501) q[6];
rx(0.7873) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7111857690818177387 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [5, 7], [0, 6], [1, 5], [2, 3], [3, 4], [2, 6]]} | {"states": [211, 233], "expectation_value": -2.7024559108021378, "params": null, "bitstrings": ["00101100", "00010110"], "total_optimization_steps": 72, "probabilities": [0.0785956802543081, 0.5753113325581306], "optimization_time": 79.05426144599915} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11101001", "00010110", "01010011", "10101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[4], q[6];
cry(-1.0342) q[7], q[5];
cry(-1.0342) q[4], q[3];
cry(1.3762) q[4], q[2];
ry(0.6284) q[4];
cry(-0.6942) q[2], q[6];
cry(-0.6942) q[2], q[3];
ry(1.216) q[0];
cry(0.4292) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
53fd70b7ce4659cd92d050c8100f2208 | 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": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -4.626932462130244, "params": [[[-0.8045, 0.8407], [-0.0023, 1.2261], [-0.0011, -0.0023], [-0.0013000000000000002, 0.0023], [-0.0033, -0.0026000000000000003], [-0.0033, -0.003], [-0.0025, -0.0028], [3.1391, -0.0027], [-0.003, 0.0041]]], "bitstrings": ["111111110", "100000000"],... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000000", "110001000", "110011010", "110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.8045) q[0];
ry(-0.0023) q[1];
ry(-0.0011) q[2];
ry(-0.0013) q[3];
ry(-0.0033) q[4];
ry(-0.0033) q[5];
ry(-0.0025) q[6];
ry(3.1391) q[7];
ry(-0.003) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b429c789c57c662cae6ccbffac54e930 | 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": [742, 710], "expectation_value": -49.352533678478714, "params": [-0.0024000000000000002, 0.31880000000000003, 0.5996, 0.13520000000000001, 0.38420000000000004, 0.1938, 0.6006, 0.0932, 0.6019, 0.0082, 0.3917, 0.1691, -0.0018000000000000002, 0.2832, 0.3798, 0.1761, 0.6035, 0.09050000000000001, 0.5983, 0.0131, ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(9)) + -3.0 * Z(0) + 7.0 * Z(1) + 4.5 * Z(2) + 8.5 * Z(3) + 4.5 * Z(5) + 7.5 * Z(4) + -3.0 * Z(6) + 9.0 *... | 16 | 11 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["10100111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0024) q[0];
rz(0.3188) q[0];
rx(0.5996) q[1];
rz(0.1352) q[1];
rx(0.3842) q[2];
rz(0.1938) q[2];
rx(0.6006) q[3];
rz(0.0932) q[3];
rx(0.6019) q[4];
rz(0.0082) q[4];
rx(0.3917) q[5];
rz(0.1691) q[5];
rx(-0.0018) q[6];
rz(0.2832) q[6];
rx(0.3798) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [171, 427], "expectation_value": -4.918969252088818, "params": [[[0.6577000000000001, -0.12300000000000001, 0.0038, 0.0079], [0.8582000000000001, -0.27040000000000003, 0.17370000000000002, 0.0007], [-0.079, -0.0984, 0.0083, -0.091], [0.5879, 0.1022, 0.6982, 0.0046], [0.0026000000000000003, -0.327, 0.0064, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6577) q[0];
rz(-0.123) q[0];
ry(0.8582) q[1];
rz(-0.2704) q[1];
ry(-0.079) q[2];
rz(-0.0984) q[2];
ry(0.5879) q[3];
rz(0.1022) q[3];
ry(0.0026) q[4];
rz(-0.327) q[4];
ry(0.487) q[5];
rz(-0.0157) q[5];
ry(0.0195) q[6];
rz(0.0159) q[6];
ry(0.9488) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [11, 9], "expectation_value": -0.05882684406196502, "params": [[0.07350000000000001], [-0.0821]], "bitstrings": ["10100", "10110"], "total_optimization_steps": 10, "probabilities": [0.0337973027810768, 0.03393546025810637], "optimization_time": 2.189610004425049} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0735) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0735) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.0184) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.0184) q[3];
cx q[1], q[3];
cx q[4], q[1];
rz(0.0184) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[1];... | null | {"circuits": [], "gradients": []} |
884c33f1fbfdb3489190b99b10954c8f | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -25.785927319133865, "params": [-0.0049, 0.125, 0.0024000000000000002, 0.1524, 0.0023, 0.16690000000000002, 0.0022, 0.1643, -0.00030000000000000003, 0.14880000000000002, 0.007, 0.1666, 0.0056, 0.1188, 0.0016, 0.1534, -0.00030000000000000003, 0.1291, 0.0085, 0.1615, 0.003600000000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0049) q[0];
rz(0.125) q[0];
rx(0.0023) q[1];
rz(0.1669) q[1];
rx(-0.0003) q[2];
rz(0.1488) q[2];
rx(0.0056) q[3];
rz(0.1188) q[3];
rx(-0.0003) q[4];
rz(0.1291) q[4];
rx(0.0036) q[5];
rz(0.1566) q[5];
rx(0.0038) q[6];
rz(0.1584) q[6];
rx(0.0076) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -7.117559469024335, "params": [[-0.053500000000000006], [0.060000000000000005]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006855820336429144, 0.007922906772337404], "optimization_time": 1.791752576828003} | 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(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "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(-0.428) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.428) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.428) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.428) q[3];
cx q[0], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [15215, 15214], "expectation_value": -8.435476598390286, "params": [-0.0018000000000000002, -0.0017000000000000001, 0.3982, 0.4005, 0.41300000000000003, 0.4142, 0.48560000000000003, 0.45020000000000004, -0.012400000000000001, -0.0196, 0.41200000000000003, 0.41600000000000004, 0.4212, 0.4083, -0.0111, -0.0136... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 13 | 15 | 4 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999936, "smallest_bitstrings": ["100010010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.0018) q[0];
ry(0.3982) q[1];
ry(0.413) q[2];
ry(0.4856) q[3];
ry(-0.0124) q[4];
ry(0.412) q[5];
ry(0.4212) q[6];
ry(-0.0111) q[7];
ry(0.4039) q[8];
ry(0.3976) q[9];
ry(-0.0198) q[10];
ry(0.4156) q[11];
ry(0.4005) q[12];
ry(0.3941) q[13];
ry(0.1703) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [101, 60], "expectation_value": -0.0007462379861863638, "params": [[0.0055000000000000005], [-0.013300000000000001]], "bitstrings": ["0011010", "1000011"], "total_optimization_steps": 10, "probabilities": [0.00782274276077008, 0.007822742760770081], "optimization_time": 3.8988237380981445} | 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)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0028) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0028) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0028) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0028) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0)... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 45.86947965621948} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"]} | 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[0];
cry(-1.3016) q[4], q[5];
cry(-1.3016) q[1], q[3];
ry(1.2881) q[2];
ry(0.7777) q[1];
ry(-0.5287) q[3];
ry(0.6761) q[4];
ry(-0.5895) q[5];
cry(1.1446) q[1], q[6];
cry(0.5991) q[2], q[4];
c... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5d474162f07dfb1b3248afb7c4b90a85 | 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": 6}, {"source": 0, "target": 7}, ... | {"states": [33, 3], "expectation_value": -7.6843337688432, "params": [[0.061700000000000005], [-0.0782]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012869261266589887, 0.013374592799756786], "optimization_time": 2.3664488792419434} | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "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(0.3394) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3394) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3394) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3394) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"k": 5} | {"circuits": [], "gradients": []} |
-7340072773834545871 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 8], [1, 3], [0, 3, 6], [4, 5], [0, 2, 5], [1, 5], [8, 5], [8, 2, 6], [4, 7]]} | {"states": [107, 362], "expectation_value": -3.4845965644794137, "params": null, "bitstrings": ["110010100", "010010101"], "total_optimization_steps": 69, "probabilities": [0.1046803232053917, 0.7953587606971263], "optimization_time": 132.13181352615356} | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["010010101"]} | 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(1.2292) q[2];
cry(-1.0342) q[5], q[1];
ry(1.3116) q[3];
cry(-0.5034) q[3], q[1];
ry(1.1541) q[5];
cry(-1.3974) q[5], q[4];
cry(-1.3922) q[0], q[8];
cry(1.3901) q[5], q[7];
ry(-0.4359) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
2353079fa286d356ce3844ef645b5899 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.1679301163004885, "params": [[0.059800000000000006], [-0.0514]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0045443067051474054, 0.00454689379887069], "optimization_time": 2.278437376022339} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0598) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(-0.0598) q[1];
cx q[2], q[1];
cx q[0], q[7];
rz(0.0897) q[7];
cx q[0], q[7];
cx q[1], q[7];
rz(-0.0299) q[7];
cx q[1], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [81, 83], "expectation_value": -2.8064512422469976, "params": [[[0.0033, 0.5917, 0.0041, 0.0097], [0.2655, 0.015300000000000001, 0.2716, 0.006], [0.0011, 0.3009, 0.0051, 0.2953], [0.1666, -0.0137, 0.1756, 0.0068000000000000005], [0.5667, -0.005, 0.0089, -0.006500000000000001], [0.10300000000000001, 0.1388, -... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(1)) + -0.125 * (Z(7) @ Z(5) @ Z(1)) + -0.125 * (Z(6) @ Z(7) @ ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110100", "10110010", "10110001", "11011000", "11010001", "11001100", "10101100", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0033) q[0];
rz(0.5917) q[0];
ry(0.2655) q[1];
rz(0.0153) q[1];
ry(0.0011) q[2];
rz(0.3009) q[2];
ry(0.1666) q[3];
rz(-0.0137) q[3];
ry(0.5667) q[4];
rz(-0.005) q[4];
ry(0.103) q[5];
rz(0.1388) q[5];
ry(0.398) q[6];
rz(-0.0128) q[6];
ry(0.6158) 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": []} |
0a9ce5e89c9dcf521e81060472c9eb03 | 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": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [67, 255], "expectation_value": -5.810586633489319, "params": null, "bitstrings": ["110111100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.07098029800654196, 0.73099424589875], "optimization_time": 221.78636193275452} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"]} | 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[2];
cry(1.5158) q[1], q[3];
cry(1.5157) q[2], q[7];
cry(1.2167) q[3], q[1];
cry(1.4867) q[3], q[5];
cry(1.502) q[5], q[8];
cry(-1.4676) q[8], q[0];
cry(1.3016) q[1], q[4];
cry... | 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(1.5681) 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];\nc[6] = m... |
0d4975981166b2874d2e3fb8df49ba97 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [238, 214], "expectation_value": -39.926217016728785, "params": null, "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.10204263315540714, 0.23230478566247953], "optimization_time": 202.8884003162384} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"]} | 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(62.9192) q[1];
ry(63.0776) q[2];
cry(2.8106) q[8], q[4];
cry(0.8761) q[2], q[1];
cry(18.4978) q[1], q[2];
ry(0.197) q[6];
cry(0.9218) q[6], q[2];
ry(0.2475) q[7];
cry(-... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"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... |
91fd701868951eab612ba86420778b2e | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -5.795067862064384, "params": [[-0.0533, -0.049300000000000004], [0.0567, 0.0675]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.028509986269717666, 0.030522896132332382], "optimization_time": 2.904625415802002} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2399) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2399) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2399) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2399) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
3426046859757007413 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 7], [0, 6], [1, 10], [9, 5, 7], [1, 4], [8, 9, 10, 4], [2, 4, 5, 8, 9], [0, 9, 10, 5], [0, 2, 3, 5, 11], [0, 10, 11, 5], [8, 5, 6, 7], [8, 2, 3], [11, 9, 3, 5], [2, 4, 5, 6, 9], [10, 4, 5], [8, 11], [0, 1, 2], [11, 9, 10, 2], [1, 2, 5, 6, 8], [0, 7... | {"states": [1010, 1011], "expectation_value": -4.960168929775162, "params": [[[0.53, 0.0048000000000000004], [0.35150000000000003, 0.0002], [3.1618, 0.006900000000000001], [2.4512, 0.008700000000000001], [3.1608, 0.0091], [3.1617, 0.0023], [2.8036000000000003, 0.003], [3.1618, 0.0043], [0.9111, 0.0063], [1.2172, 0.0004... | 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.05 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.05 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(6)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.216666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.133333333333333, "smallest_bitstrings": ["110000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.53) q[0];
rz(0.0048) q[0];
rx(0.3515) q[1];
rz(0.0002) q[1];
rx(3.1618) q[2];
rz(0.0069) q[2];
rx(2.4512) q[3];
rz(0.0087) q[3];
rx(3.1608) q[4];
rz(0.0091) q[4];
rx(3.1617) q[5];
rz(0.0023) q[5];
rx(2.8036) q[6];
rz(0.003) q[6];
rx(3.1618) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -0.8485494500651369, "params": [1.5976000000000001, 0.0045000000000000005, 1.0134, 0.0044, -0.0026000000000000003, 0.0036000000000000003, 1.6052000000000002, 0.006900000000000001, 1.0245, 0.0092, 1.6026, 0.0057, 0.0086, 0.0051, 0.0092, 0.0092, 0.0008, 0.0028], "bitstrings": ["11... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.5976) q[0];
rz(0.0045) q[0];
rx(1.0134) q[1];
rz(0.0044) q[1];
rx(-0.0026) q[2];
rz(0.0036) q[2];
rx(1.6052) q[3];
rz(0.0069) q[3];
rx(1.0245) q[4];
rz(0.0092) q[4];
rx(1.6026) q[5];
rz(0.0057) q[5];
crz(0.0086) q[5], q[0];
crz(0.0028) q[4], q[5];
crz(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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-6174142874878976459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [3, 4], [2, 4, 6], [0, 1, 6], [2, 3, 5], [5, 6], [0, 2], [4, 7]]} | {"states": [51, 115], "expectation_value": -0.025937990729108518, "params": [[0.046200000000000005], [-0.041]], "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.004075394240147128, 0.004085789696554765], "optimization_time": 2.214644193649292} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0154) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0154) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0308) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(0.0462) q[4];
cx q[3], q[4];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
2cd4f4c4fee8ef9da3443a6a74e2d3f6 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [38314, 21930], "expectation_value": -1.7001497873826188, "params": null, "bitstrings": ["0110101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12489391221734496, 0.264030835857771], "optimization_time": 1065.1965868473053} | 0.25 * (Z(0) @ Z(1)) + 0.0003099173553719008 * (Z(2) @ Z(0)) + 0.0003099173553719008 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000826... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0189049586776022], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.018904958677551, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5936) q[10], q[11];
cry(-0.594) q[8], q[9];
cry(-0.5944) q[12], q[13];
cry(-0.5941) q[14], q[15];
cry(-0.5936) q[7], ... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5936) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
1836f56c6aacade8d2873047a951421e | matching | 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": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -65.32719784738585, "params": [0.24180000000000001, 0.3015, 0.7923, 0.001, 0.7921, 0.0007, 0.7849, 0.046200000000000005, 0.2426, 0.30920000000000003, 0.7934, 0.08610000000000001, 0.1545, 0.3786, 0.7897000000000001, 0.1182, 0.3725, 0.2627, 0.2419, 0.2728, 0.7894, 0.0035, 0.792... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2418) q[0];
rz(0.3015) q[0];
rx(0.7923) q[1];
rz(0.001) q[1];
rx(0.7921) q[2];
rz(0.0007) q[2];
rx(0.7849) q[3];
rz(0.0462) q[3];
rx(0.2426) q[4];
rz(0.3092) q[4];
rx(0.7934) q[5];
rz(0.0861) q[5];
rx(0.1545) q[6];
rz(0.3786) q[6];
rx(0.7897) q[7];
rz(0.1... | 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
7159875581110260102 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [3, 7], [0, 2], [2, 7], [4, 6], [0, 3], [0, 5], [1, 4], [3, 4], [4, 7], [3, 6], [0, 4], [1, 7]]} | {"states": [195, 131], "expectation_value": -3.023764007027093, "params": null, "bitstrings": ["00111100", "01111100"], "total_optimization_steps": 57, "probabilities": [0.3245965817390271, 0.5069498808484465], "optimization_time": 68.83566784858704} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01111100", "10000011", "11000011", "00111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[7], q[2];
ry(1.0293) q[7];
cry(1.4052) q[7], q[0];
cry(-0.9035) q[0], q[2];
cry(-0.7688) q[7], q[4];
cry(-1.4141) q[0], q[5];
ry(1.3261) q[6];
cry(-1.1074) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], 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] = me... |
3752093b82ed107b6f6f5e75324b3162 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 119], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10000000", "10001000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 71.59888195991516} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | 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(1.5681) q[3];
cry(1.5486) q[3], q[5];
cry(1.5486) q[5], q[6];
ry(1.5681) q[2];
ry(1.4447) q[1];
cry(1.5481) q[1], q[7];
cry(-1.5483) q[7], q[0];
cry(0.0892) q[2], q[1];
ry(0.0158) q[5];
ry(0.02... | 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(1.5681) 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[... |
9e3fd441307ea46e321a51e29b173f1a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -9.415877799578892, "params": [[0.0942, -0.001], [-0.11570000000000001, -0.1526]], "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 20, "probabilities": [0.0019506055856485455, 0.0019506055856485464], "optimization_time": 7.481706380844116} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 2 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | 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[5], q[4];
rz(0.3768) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.1884) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.0942) q[6];
cx q[4], q[6];
cx q[6], q[9];
rz(0.0942) 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": 5} | {"circuits": [], "gradients": []} |
5c8d577142051cc6578aa40532e6b2ab | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [416, 163], "expectation_value": -8.298144705025315, "params": null, "bitstrings": ["001011111", "101011100"], "total_optimization_steps": 66, "probabilities": [0.09194771836542422, 0.7579632659312541], "optimization_time": 94.93957710266113} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
cry(-1.5681) q[8], q[0];
ry(0.8443) q[8];
ry(1.5185) q[1];
ry(-0.4061) q[0];
cry(0.4511) q[1], q[8];
cry(-0.243) q[1], q[0];
ry(1.3648) q[3];
cry(1.3645... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
6781304460810415003 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [4, 6, 7], [1, 3, 4], [0, 1, 4, 5, 6], [0, 2, 3, 4, 5], [3, 5, 6]]} | {"states": [154, 243], "expectation_value": -0.046415495831466924, "params": [[0.07100000000000001], [-0.07390000000000001]], "bitstrings": ["01100101", "00001100"], "total_optimization_steps": 10, "probabilities": [0.004088060913680587, 0.004088553131392662], "optimization_time": 7.483165740966797} | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(1)) + 0.15000000000000002 * (Z(5) @ Z(0)) + 0.26666666666666666 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.1 * (Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6000000000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5999999999999999, "smallest_bitstrings": ["00001100"]} | 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(0.0142) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0308) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0142) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0142) q[5];
cx q[1], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 214.39132809638977} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 6 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.2982) q[3];
ry(-0.7275) q[4];
cry(-1.2688) q[6], q[3];
cry(-0.8374) q[7], q[4];
cry(-0.7943) q[5], q[0];
cry(-1.5708) q[1], q[2];
ry(1.391) q[5];
cry(-0.3522) q[7], q[0];
c... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 3], "expectation_value": -10.60276060914004, "params": [[[0.2607, -0.28300000000000003], [0.25830000000000003, -0.2837], [0.2657, -0.2817], [0.7805000000000001, -0.0059], [0.797, -0.0051], [0.8046000000000001, -0.0041]], [[0.258, 0.0061], [0.2504, 0.003], [0.2635, 0.0029000000000000002], [0.7778, 0.0043]... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.2607) q[0];
rz(-0.283) q[0];
rx(0.2583) q[1];
rz(-0.2837) q[1];
rx(0.2657) q[2];
rz(-0.2817) q[2];
rx(0.7805) q[3];
rz(-0.0059) q[3];
rx(0.797) q[4];
rz(-0.0051) q[4];
rx(0.8046) q[5];
rz(-0.0041) q[5];
rx(0.258) q[0];
rz(0.0061) q[0];
rx(0.2504) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
941e0f788960880dfe35c85f6b384f54 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [7, 39], "expectation_value": -1.869433504411611, "params": [[-0.059500000000000004, -0.06470000000000001, -0.053500000000000006, -0.0284], [0.0698, 0.0753, 0.0736, 0.0618]], "bitstrings": ["1111000", "1011000"], "total_optimization_steps": 10, "probabilities": [0.017380252029382814, 0.02057792507869009], "o... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -2.0 * Z(2) + -0.5 * Z(1) + -2.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0595) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0595) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0595) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0595) q[2];
cx q[5], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8426025811770009779 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 7], [0, 6], [6, 7], [2, 3], [4, 7], [8, 3], [0, 1], [5, 7]]} | {"states": [345, 349], "expectation_value": -2.64880622062234, "params": null, "bitstrings": ["010100110", "010100010"], "total_optimization_steps": 75, "probabilities": [0.08048162056563089, 0.6093105930242976], "optimization_time": 123.16598057746887} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 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, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010100110", "100100010", "011000111", "101011101", "100111100", "010111100", "011000011", "010100010", "011011101", "100111000",... | 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[7];
cry(-1.0342) q[8], q[3];
cry(-1.0342) q[0], q[1];
ry(1.0293) q[0];
ry(-0.6992) q[1];
cry(-0.6534) q[5], q[7];
ry(1.0459) q[5];
cry(1.1977) q[5], q[4];
cry(-0.4454)... | 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[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];\n... |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [38893, 47085], "expectation_value": -12.946901221093377, "params": [1.0652000000000001, 0.1218, 0.525, 0.40940000000000004, 0.6398, 0.35500000000000004, 1.0878, 0.1223, 0.4399, 0.4378, 1.0619, 0.0082, 1.0623, -0.0097, 1.0479, 0.0035, 0.8282, 0.16790000000000002, 1.0409000000000002, 0.0004, 1.081300000000000... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 18 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.0652) q[0];
rz(0.1218) q[0];
rx(0.525) q[1];
rz(0.4094) q[1];
rx(0.6398) q[2];
rz(0.355) q[2];
rx(1.0878) q[3];
rz(0.1223) q[3];
rx(0.4399) q[4];
rz(0.4378) q[4];
rx(1.0619) q[5];
rz(0.0082) q[5];
rx(1.0623) q[6];
rz(-0.0097) q[6];
rx(1.0479) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -1.1662821654183286, "params": [[0.0613, 0.0763, 0.07930000000000001], [-0.0351, -0.0575, -0.06770000000000001]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.03200427871581388, 0.03233051029408968], "optimization_time": 3.451309919357... | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.0307) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0613) q[1];
cx q[5], q[1];
cx q[1], q[4];
rz(-0.092) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(-0.092) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [84, 22], "expectation_value": -3.48906547191464, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 29, "probabilities": [0.060236500194565626, 0.8645367772924746], "optimization_time": 27.739251613616943} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 1 | 7 | 2 | {"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": ["1101100", "1101001", "1001101", "0101011", "0001111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[3];
ry(-1.5681) q[6];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
cry(-1.0343) q[5], q[0];
ry(0.7003) q[4];
ry(0.7003) q[5];
ry(-0.4549) q[1];
cry(0.4963) q[2], q[4];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... |
ead5b47990aff308f37407aa5bdb12e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [768, 895], "expectation_value": -14.289092386424787, "params": [-0.0027, 2.1434, -0.0027, -0.7522000000000001, 3.1431, -0.0, 0.0027, 0.7797000000000001, -0.0023, 0.5231, -0.9847, 0.0012000000000000001, 1.2958, -0.001, 0.0015, 0.459, 0.0019, 0.455, -1.1932, -0.0036000000000000003, 1.1294, 0.0004, -0.0027, 3.... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0027) q[0];
rz(2.1434) q[0];
rx(-0.0027) q[1];
rz(-0.7522) q[1];
rx(3.1431) q[2];
rz(0) q[2];
rx(0.0027) q[3];
rz(0.7797) q[3];
rx(-0.0023) q[4];
rz(0.5231) q[4];
rx(-0.9847) q[5];
rz(0.0012) q[5];
rx(1.2958) q[6];
rz(-0.001) q[6];
rx(0.0015) 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": 0} | {"circuits": [], "gradients": []} |
319cf79193dd12504081b946bd90da21 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [1011, 1023], "expectation_value": -13.100599322911863, "params": null, "bitstrings": ["10000001100", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.14257735606056124, 0.4392896860047688], "optimization_time": 179.36765718460083} | -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[10], q[2];
ry(1.056) q[10];
cry(1.5708) q[2], q[9];
cry(1.5708) q[9], q[1];
cry(-0.6473) q[1], q[2];
ry(-0.1153) q[2];
cry(0.1321) q[9], q[2];
cry(1.0301) ... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[10], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... |
-2458627907467398318 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [26, 14], "expectation_value": -1.730311024878611, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 37, "probabilities": [0.05106793339819197, 0.7341401491662072], "optimization_time": 22.1779465675354} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110001", "100101", "001110", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[3], q[1];
cry(-1.0342) q[4], q[0];
ry(0.7625) q[4];
cry(-0.7068) q[2], q[5];
cry(1.1319) q[4], q[2];
ry(0.7003) q[3];
cry(-0.5466) q[2], q[0];
cry(0.4138) q[2], q[4];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 13], "expectation_value": -0.7312490889116323, "params": [[-0.0431, -0.0507, -0.045200000000000004, -0.0318], [0.060500000000000005, 0.0627, 0.056600000000000004, 0.0489]], "bitstrings": ["001101", "110010"], "total_optimization_steps": 10, "probabilities": [0.028250911552967158, 0.028250911552967165], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0431) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0431) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0431) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0431) q[1];
cx q[3], q[1];
cx q[1], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 20.85929536819458} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | 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(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[1], q[5];
cry(-0.3789) q[1], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | 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... |
5dad688a93671469362a3d3d00961b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.2929812756031232, "params": [[0.0655, 0.0631, 0.0441, -0.0473], [-0.07100000000000001, -0.0683, -0.056, -0.0164]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.04259356638430254, 0.04259356638430255], "optimization_time": 3.1938374042... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0655) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0655) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0328) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.0328) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(0.0328) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2565093084812648423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 11, 7], [0, 6, 8, 9, 10, 11], [0, 2, 4, 6, 8, 9, 11], [0, 2, 3, 4, 6, 7, 8, 10, 11], [0, 4, 5, 7, 10, 11], [0, 1, 5, 6, 9], [0, 1, 2, 3, 4, 5, 9, 10, 11], [0, 2, 5, 6, 8, 9], [0, 4, 5, 7, 9, 10], [0, 1, 3, 4, 5, 6, 8, 10, 11], [1, 2, 4, 5, 6, 9, 11... | {"states": [1919, 1407], "expectation_value": -1.8154278226809781, "params": [0.7815000000000001, 0.7824, 0.8112, 0.8057000000000001, 0.7856000000000001, 0.7908000000000001, 1.2899, 1.2877, 0.7838, 0.7803, 1.235, 1.2295, 1.2566000000000002, 1.2532, 1.3104, 1.3087, 0.8195, 0.8117000000000001, 1.3183, 1.3188, 1.325, 1.32... | 0.12103174603174602 * (Z(1) @ Z(4)) + 0.15873015873015872 * (Z(3) @ Z(4)) + 0.1349206349206349 * (Z(3) @ Z(1)) + 0.13055555555555554 * (Z(9) @ Z(4)) + 0.13333333333333333 * (Z(9) @ Z(1)) + 0.13055555555555554 * (Z(9) @ Z(3)) + 0.08492063492063492 * (Z(0) @ Z(4)) + 0.12777777777777777 * (Z(0) @ Z(1)) + 0.132142857142857... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.450000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.45, "smallest_bitstrings": ["101010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7815) q[0];
ry(0.8112) q[1];
ry(0.7856) q[2];
ry(1.2899) q[3];
ry(0.7838) q[4];
ry(1.235) q[5];
ry(1.2566) q[6];
ry(1.3104) q[7];
ry(0.8195) q[8];
ry(1.3183) q[9];
ry(1.325) q[10];
ry(1.2987) q[11];
crz(0.3313) q[11], q[0];
crz(0.125) 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": []} |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -3.4890656588000333, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 29, "probabilities": [0.06023624492936539, 0.8645378003136043], "optimization_time": 24.60888934135437} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[3], q[2];
cry(-1.0342) q[5], q[1];
ry(0.7003) q[5];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[0], q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[5];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
11e3db404ceab325d959c6faf4c54e2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [455, 454], "expectation_value": -2.937548176256904, "params": [0.7038, 0.7063, 0.6970000000000001, 0.6939000000000001, 0.6917, 0.6986, -0.006500000000000001, 0.0048000000000000004, -0.0221, -0.015700000000000002, -0.0137, -0.013800000000000002, 0.6318, 0.6448, 0.6985, 0.6971, 0.32280000000000003, 0.2565, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["000111001", "000110101", "100100011", "000111100", "010111000", "000110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7038) q[0];
ry(0.697) q[1];
ry(0.6917) q[2];
ry(-0.0065) q[3];
ry(-0.0221) q[4];
ry(-0.0137) q[5];
ry(0.6318) q[6];
ry(0.6985) q[7];
ry(0.3228) q[8];
crx(0.3681) q[8], q[0];
crx(0.4164) q[7], q[8];
crx(0.1651) q[6], q[7];
crx(0.1732) q[5], q[6];
crx(0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 60], "expectation_value": -1.2272014989588034, "params": [-0.0026000000000000003, 0.006900000000000001, 1.6021, 0.0095, 1.6106, 0.0025, 1.6008, 0.005200000000000001, 1.5973000000000002, 0.0021000000000000003, 1.0198, 0.0037, 0.5489, 0.0028, 0.0059, 0.0086, 0.0012000000000000001, 0.005200000000000001, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0026) q[0];
rz(0.0069) q[0];
rx(1.6021) q[1];
rz(0.0095) q[1];
rx(1.6106) q[2];
rz(0.0025) q[2];
rx(1.6008) q[3];
rz(0.0052) q[3];
rx(1.5973) q[4];
rz(0.0021) q[4];
rx(1.0198) q[5];
rz(0.0037) q[5];
rx(0.5489) q[6];
rz(0.0028) q[6];
crz(0.0059) q[6], 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[... | null | {"circuits": [], "gradients": []} |
c309a5b49340fd246c3b4bf5605246e0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 8}, {"weight": 14, "sourc... | {"states": [425, 233], "expectation_value": -10.707979140342786, "params": [[0.057100000000000005], [-0.0852]], "bitstrings": ["001010110", "100010110"], "total_optimization_steps": 10, "probabilities": [0.005111556291758053, 0.005785920171450155], "optimization_time": 1.7779991626739502} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(2) + 6.5 * Z(0) + 12.5 * Z(1) + 12.0 * Z(3) + 2.5 * Z(4) + 9.5 * Z(5)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.571) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.571) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.571) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.571) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -7.952742546289935, "params": [[-0.053700000000000005, -0.0267, -0.0196, 0.016300000000000002], [0.081, 0.06960000000000001, 0.068, 0.0604]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.02179268292492511, 0.02359530253305675], "optim... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2417) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2417) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2417) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2417) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 6], "expectation_value": -0.990408307481226, "params": [[0.068, 0.056, 0.0616], [-0.0688, -0.051800000000000006, -0.0577]], "bitstrings": ["100111", "111001"], "total_optimization_steps": 10, "probabilities": [0.02471890872972131, 0.024718908729721337], "optimization_time": 3.857516288757324} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.068) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.068) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.068) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.068) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.068) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
f15c87a609214c22b332c05d233df1f7 | 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": [343, 342], "expectation_value": -116.94776510495643, "params": [0.5730000000000001, 0.0079, 3.0951, 0.0058000000000000005, -0.0021000000000000003, 0.0094, 3.0849, 0.0015, 0.0029000000000000002, 0.0008, 3.0953, 0.0022, 0.48140000000000005, 0.007, 3.0842, 0.008700000000000001, 3.095, 0.005, 1.4725000000000001... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(4) @ Z(8)) + 3.5 * Z(0) +... | 18 | 10 | 1 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["1010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.573) q[0];
rz(0.0079) q[0];
rx(3.0951) q[1];
rz(0.0058) q[1];
rx(-0.0021) q[2];
rz(0.0094) q[2];
rx(3.0849) q[3];
rz(0.0015) q[3];
rx(0.0029) q[4];
rz(0.0008) q[4];
rx(3.0953) q[5];
rz(0.0022) q[5];
rx(0.4814) q[6];
rz(0.007) q[6];
rx(3.0842) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [45, 1], "expectation_value": -3.5409477355602164, "params": [[-0.08270000000000001, -0.0782, -0.0732], [0.08220000000000001, 0.0794, 0.0766]], "bitstrings": ["1010010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030769482455973603, 0.03143177764216241], "optimization_time": 6.2440919876... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"]} | 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(0.0827) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2068) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.1654) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0827) q[5];
cx q[0], 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] 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": []} |
-1801195649024593780 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [3, 4, 5], [2, 3, 4], [1, 3, 4], [0, 3, 5], [0, 1, 2], [0, 1, 3], [1, 3, 6], [0, 6], [0, 4]]} | {"states": [88, 55], "expectation_value": -0.08080071064362819, "params": [[0.0618], [-0.051300000000000005]], "bitstrings": ["0100111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.00830857794151495, 0.008349518233965288], "optimization_time": 2.40604829788208} | 0.3333333333333333 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["1001000"]} | 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(0.0412) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0618) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0.0206) q[5];
cx q[2], q[5];
cx q[3], q[4];
rz(0.0618) q[4];
cx q[3], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5]... | null | {"circuits": [], "gradients": []} |
b4386623ef42d59378644c97d49e9610 | 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": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -19.245417663729377, "params": [[-0.0371, -0.016900000000000002, 0.0536, 0.0574], [0.0707, 0.0777, 0.011600000000000001, -0.030500000000000003]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01641435315996414, 0.021072884843939765]... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "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];
cx q[1], q[0];
rz(-0.3339) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3339) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.3339) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.3339) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [483, 495], "expectation_value": -7.201312573630434, "params": [0.311, -0.26230000000000003, 0.3658, 0.058100000000000006, 0.2817, -0.2681, 0.3131, -0.0538, -0.0155, 0.0032, -0.3085, -0.09340000000000001, 0.2846, -0.041800000000000004, -0.23650000000000002, -0.1472, -0.0878, -0.077, 0.1075, -0.1699, 1.176000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.311) q[0];
rz(-0.2623) q[0];
rx(0.2817) q[1];
rz(-0.2681) q[1];
rx(-0.0155) q[2];
rz(0.0032) q[2];
rx(0.2846) q[3];
rz(-0.0418) q[3];
rx(-0.0878) q[4];
rz(-0.077) q[4];
rx(1.176) q[5];
rz(-0.0636) q[5];
rx(0.6922) q[6];
rz(-0.0445) q[6];
rx(0.3042) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.1151308287214994, "params": [[0.055], [-0.044500000000000005]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.01655371237273363, 0.016706844635856852], "optimization_time": 1.2141635417938232} | 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];
cx q[2], q[0];
rz(0.055) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.055) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.055) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.055) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.055) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
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