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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d66103aeeeda9c42837797a39c07c20f | 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": 9, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 3}, {"weight": 18, "source": 1, "target": 5}, {"weight": 2, "source... | {"states": [220, 212], "expectation_value": -22.12469299973531, "params": [[[0.2591, 0.3306], [0.9048, -0.0013000000000000002], [0.8994000000000001, -0.0018000000000000002], [0.0019, -0.1436], [0.9056000000000001, 0.0012000000000000001], [0.7016, -0.092], [0.9015000000000001, -0.0009000000000000001], [0.6633, 0.1255], ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + -1.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["100101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2591) q[0];
rz(0.3306) q[0];
rx(0.9048) q[1];
rz(-0.0013) q[1];
rx(0.8994) q[2];
rz(-0.0018) q[2];
rx(0.0019) q[3];
rz(-0.1436) q[3];
rx(0.9056) q[4];
rz(0.0012) q[4];
rx(0.7016) q[5];
rz(-0.092) q[5];
rx(0.9015) q[6];
rz(-0.0009) q[6];
rx(0.6633) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -43.640110201225, "params": [0.8373, 0.3386, 0.9802000000000001, 0.154, 0.9805, -0.013300000000000001, -0.0001, -0.9917, 0.0027, -1.0167000000000002, 0.5541, 0.29650000000000004, 1.016, 0.032600000000000004, 1.0252000000000001, 0.0095, 1.0521, 0.0078000000000000005, 1.052, ... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 3 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.8373) q[0];
rz(0.3386) q[0];
rx(0.9802) q[1];
rz(0.154) q[1];
rx(0.9805) q[2];
rz(-0.0133) q[2];
rx(-0.0001) q[3];
rz(-0.9917) q[3];
rx(0.0027) q[4];
rz(-1.0167) q[4];
rx(0.5541) q[5];
rz(0.2965) q[5];
rx(1.016) q[6];
rz(0.0326) q[6];
rx(1.0252) 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": 4} | {"circuits": [], "gradients": []} |
701af78f34438c7391d509e9e8e2d665 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2044], "expectation_value": -21.094449265676104, "params": [[[0.0026000000000000003, 3.1604], [-0.0031000000000000003, 0.0027], [0.0018000000000000002, 0.0021000000000000003], [-0.0028, 0.0023], [0.0019, 0.002], [0.0019, 0.0018000000000000002], [0.0023, 0.0019], [-0.0023, 0.0021000000000000003], [0.00... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0026) q[0];
ry(-0.0031) q[1];
ry(0.0018) q[2];
ry(-0.0028) q[3];
ry(0.0019) q[4];
ry(0.0019) q[5];
ry(0.0023) q[6];
ry(-0.0023) q[7];
ry(0.0026) q[8];
ry(-0.0028) q[9];
ry(0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 11} | {"circuits": [], "gradients": []} |
e9cd4f16fca9474ca53962a2c5c7dd8e | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [412, 508], "expectation_value": -11.609183958994768, "params": null, "bitstrings": ["001100011", "000000011"], "total_optimization_steps": 96, "probabilities": [0.14918960070189335, 0.4441314181415479], "optimization_time": 116.14346718788147} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -1.0 * Z(8) + -1.0 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000000011"]} | 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(1.5681) q[5], q[6];
cry(1.5708) q[6], q[4];
cry(1.2536) q[4], q[5];
cry(0.4771) q[4], q[6];
ry(-1.5681) q[8];
ry(-1.5708) q[7];
cry(1.5486) q[2], q[3];
cry(1.2305) q[3], q[2];
cry(1.54... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5681) q[5], 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... |
1950899674174661020 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 2, 4], [2, 6], [3, 7], [4, 5], [0, 1, 4, 7], [3, 6], [2, 5]]} | {"states": [244, 248], "expectation_value": -2.7476872964586434, "params": null, "bitstrings": ["00001011", "00000111"], "total_optimization_steps": 60, "probabilities": [0.05805455188722339, 0.7834210448692012], "optimization_time": 76.80010795593262} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["00000111"]} | 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(1.4074) q[1];
cry(-1.0342) q[4], q[5];
ry(0.7847) q[4];
cry(-0.74) q[2], q[5];
cry(-1.0459) q[3], q[7];
cry(-1.0311) q[3], q[6];
ry(1.2201) q[2];
ry(0.7627) q[3];
cry(-0.8049) q[2], q[6];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4074) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
2d110e301c2d1f39c0aed01790885e0f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 3, "ta... | {"states": [183, 55], "expectation_value": -3.455610154615732, "params": [0.7678, 0.1116, -0.0078000000000000005, 0.43760000000000004, 0.9981000000000001, 0.0019, 0.9922000000000001, -0.007200000000000001, 0.38420000000000004, -0.0066, 0.9996, -0.0005, 0.9982000000000001, -0.0022, 1.0045, -0.0029000000000000002, 0.7649... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(4) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["01010100", "11001000", "01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7678) q[0];
rz(0.1116) q[0];
rx(-0.0078) q[1];
rz(0.4376) q[1];
rx(0.9981) q[2];
rz(0.0019) q[2];
rx(0.9922) q[3];
rz(-0.0072) q[3];
rx(0.3842) q[4];
rz(-0.0066) q[4];
rx(0.9996) q[5];
rz(-0.0005) q[5];
rx(0.9982) q[6];
rz(-0.0022) q[6];
rx(1.0045) 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": []} |
777de9ff78a03eee0c44fa86be16e1ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 254], "expectation_value": -18.530724218035388, "params": [[[-0.0037, 3.1579], [-0.0026000000000000003, 0.0025], [0.0019, 0.0023], [0.002, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0027, 0.002], [1.6337000000000002, -0.0032], [-0.0021000000000000003, 0.0022]]], "bitstrings": ["00000000... | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 *... | 15 | 8 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0037) q[0];
ry(-0.0026) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0024) q[4];
ry(0.0027) q[5];
ry(1.6337) q[6];
ry(-0.0021) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
e61b9b6cad8366f7e670366fe202a3e7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [124, 122], "expectation_value": -7.519597568983138, "params": [[0.0454], [-0.050800000000000005]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006477465843814684, 0.006830228254753429], "optimization_time": 2.049558401107788} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "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;
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(0.3632) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3632) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3632) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3632) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 18], "expectation_value": -3.911631293737013, "params": null, "bitstrings": ["111001", "101101"], "total_optimization_steps": 18, "probabilities": [0.06012645497830037, 0.7888190124886368], "optimization_time": 15.07539677619934} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
cry(-1.0343) q[1], q[3];
cry(-1.0343) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[2];
ry(-0.4549) q[3];
cry(0.4578) q[4], q[1];
cry(0.4515) q[1], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
320a9f451400cc7b47c12eaef6b494ad | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target": 5}, {"sour... | {"states": [255, 63], "expectation_value": -0.752598420065609, "params": [[0.0694], [-0.06720000000000001]], "bitstrings": ["00000000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.005487752134704912, 0.005487752134704913], "optimization_time": 0.8340556621551514} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(3) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2082) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(-0.2776) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(0.0694) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(-0.2082) q[6];
cx q[2], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(x1) q[2];
cx q[... | {"node": 2} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.1478776931762695} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
1d5830a984622eead42a5eae40078f2f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -0.08236644264726518, "params": [[-0.034800000000000005, 0.010400000000000001, 0.0432], [0.054400000000000004, 0.017400000000000002, -0.0296]], "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008316238696308948, 0.008406844191792561], "... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0348) q[0];
cx q[6], q[0];
cx q[0], q[2];
rz(-0.0348) q[2];
cx q[0], q[2];
cx q[2], q[1];
rz(-0.0348) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0348) q[3];
cx q[2], q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
-2038502084133573321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 11], [8, 3, 4, 6], [9, 10, 4, 1], [2, 3, 4, 6], [0, 9, 2], [3, 7], [10, 6, 7], [0, 8, 2, 10], [0, 6], [8, 11], [8, 10, 4], [2, 11, 5, 6], [1, 2, 4, 8, 9], [0, 1, 2, 4, 5], [2, 3, 8, 9, 10], [9, 5], [8, 2, 6, 7], [0, 8, 1], [0, 3], [1, 2, 10, 9], [1, 1... | {"states": [1722, 1754], "expectation_value": -6.126641052585296, "params": [[[0.3865, 0.6910000000000001, 0.0011, 0.0086], [0.2736, 0.6911, 0.08710000000000001, 0.0058000000000000005], [1.4958, -0.0035, 1.4921, 0.0049], [1.5014, 0.0037, 1.4873, 0.0008], [1.4909000000000001, -0.0018000000000000002, 1.4954, 0.003], [1.4... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + 0.26666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(10)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-8.283333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.199999999999999, "smallest_bitstrings": ["100100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3865) q[0];
rz(0.691) q[0];
ry(0.2736) q[1];
rz(0.6911) q[1];
ry(1.4958) q[2];
rz(-0.0035) q[2];
ry(1.5014) q[3];
rz(0.0037) q[3];
ry(1.4909) q[4];
rz(-0.0018) q[4];
ry(1.4887) q[5];
rz(-0.3554) q[5];
ry(0.7114) q[6];
rz(0.4865) q[6];
ry(0.4788) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
28b6a4ab313db94d987523ad340731c4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [0, 252], "expectation_value": -8.194433524703681, "params": [-0.0415, 1.5936000000000001, -0.4514, 1.9059000000000001, -0.7256, 0.6602, -0.1693, 1.9484000000000001, 0.771, 1.076, -0.2534, 0.9286000000000001, 0.8162, 1.3376000000000001, -0.0412, 1.4887000000000001, 0.8191, 1.2025000000000001, -0.023100000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0415) q[0];
rz(1.5936) q[0];
rx(-0.7256) q[1];
rz(0.6602) q[1];
rx(0.771) q[2];
rz(1.076) q[2];
rx(0.8162) q[3];
rz(1.3376) q[3];
rx(0.8191) q[4];
rz(1.2025) q[4];
rx(0.8218) q[5];
rz(1.0801) q[5];
rx(0.9068) q[6];
rz(0.9206) q[6];
rx(0.7548) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
74b74002611f90e3c673d204b4b3c61d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [213, 117], "expectation_value": -64.89402376694835, "params": [[[0.41100000000000003, 0.2783], [0.7024, 0.5707], [0.12610000000000002, 0.6651], [0.6937, 0.5256000000000001], [-0.0455, 0.4879], [0.6859000000000001, 0.397], [0.6904, 0.5047], [0.08120000000000001, 0.5739000000000001]], [[0.5779000000000001, 0.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 14.5 * Z(0) + 12.0 * Z(2) + 21.5 * Z(3) + 23.0 * Z(1) + ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.411) q[0];
ry(0.7024) q[1];
ry(0.1261) q[2];
ry(0.6937) q[3];
ry(-0.0455) q[4];
ry(0.6859) q[5];
ry(0.6904) q[6];
ry(0.0812) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.4459077414127863, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 35, "probabilities": [0.05175928892415619, 0.7900196277016767], "optimization_time": 28.75046992301941} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
cry(-1.0342) q[2], q[6];
cry(-1.0342) q[4], q[1];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[4];
ry(0.7003) q[2];
ry(0.7003) q[5];
ry(-0.4549) q[1];
ry(-0.4549) q[0];
ry(-0.4549) q[6];
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[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", ... |
c4c481d42e823a9c9d606e8266a72503 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [435, 419], "expectation_value": -4.728550345526413, "params": [0.4046, 0.40140000000000003, 0.3995, 0.39690000000000003, -0.0085, -0.0073, 0.3997, 0.4033, 0.1572, 0.1587, -0.0034000000000000002, 0.0063, 0.0037, 0.0027, 0.4006, 0.4043, 0.3894, 0.38720000000000004, 0.399, 0.40240000000000004, 0.39840000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5... | 14 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["001011100", "101001001", "001001101", "101011000", "000101101", "000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4046) q[0];
ry(0.3995) q[1];
ry(-0.0085) q[2];
ry(0.3997) q[3];
ry(0.1572) q[4];
ry(-0.0034) q[5];
ry(0.0037) q[6];
ry(0.4006) q[7];
ry(0.3894) q[8];
crx(0.3894) q[8], q[0];
crx(0.3839) q[7], q[8];
crx(0.3613) q[6], q[7];
crx(0.2214) q[5], q[6];
crx(0.082... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
e776e7ca61722eeb2742e447edcfe87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [128, 3], "expectation_value": -3.6636387528554337, "params": [[0.058800000000000005, 0.0644, 0.0385, 0.0181], [-0.0419, -0.0584, -0.041100000000000005, -0.038400000000000004]], "bitstrings": ["01111111", "11111100"], "total_optimization_steps": 10, "probabilities": [0.011201725346121152, 0.01309652766304099... | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.0294) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.147) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.0588) q[6];
cx q[0], q[6];
cx q[5], q[2];
rz(-0.147) q[2];
cx q[5], q[2];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -2.7780361481597797, "params": [-0.8144, -0.0152, 0.003, 1.4168, 0.0453, -1.0308, 1.9431, -0.6095, 0.0022, 1.4797, 1.5691000000000002, 0.006500000000000001, -0.8134, 0.0012000000000000001, 0.0029000000000000002, 0.0041, 0.038, 0.0025, 1.2015, 0.0097, 0.0023, 0.0066, 1.5677, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 3 | 6 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.8144) q[0];
rz(-0.0152) q[0];
rx(0.003) q[1];
rz(1.4168) q[1];
rx(0.0453) q[2];
rz(-1.0308) q[2];
rx(1.9431) q[3];
rz(-0.6095) q[3];
rx(0.0022) q[4];
rz(1.4797) q[4];
rx(1.5691) q[5];
rz(0.0065) q[5];
crz(0.0205) q[5], q[4];
crz(-1.3215) q[4], q[3];
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": []} |
e2d42d54466cad0e47a576fec07e2be9 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [85, 86], "expectation_value": -4.499863641630145, "params": null, "bitstrings": ["0101010", "0101001"], "total_optimization_steps": 33, "probabilities": [1.641415598457161e-05, 0.9999120688179428], "optimization_time": 25.312699556350708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
ry(-1.4449) q[6];
ry(1.4417) q[2];
ry(1.4417) q[5];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[2], q[1];
cry(0.1217) q[2], q[4];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [0, 248], "expectation_value": -11.323583943026327, "params": [-0.41550000000000004, 0.0033, -0.29600000000000004, 0.5875, -0.41290000000000004, 0.1384, -0.3049, 0.5485, -0.3821, 0.0557, -0.3259, 0.38970000000000005, -0.3906, 0.2837, -0.32980000000000004, 0.6245, -0.3675, 0.2852, -0.34540000000000004, 0.6676... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 6 | 8 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.4155) q[0];
rz(0.0033) q[0];
rx(-0.4129) q[1];
rz(0.1384) q[1];
rx(-0.3821) q[2];
rz(0.0557) q[2];
rx(-0.3906) q[3];
rz(0.2837) q[3];
rx(-0.3675) q[4];
rz(0.2852) q[4];
rx(0.0208) q[5];
rz(0.4004) q[5];
rx(0.0043) q[6];
rz(0.4958) q[6];
rx(-0.0021) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} |
4c5a23f8c8a34bc9c0e926b6ce68cf56 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [0, 7], "expectation_value": -13.941964185781622, "params": [-0.0022, -2.0588, 0.0022, 0.0006000000000000001, -0.0022, 1.4033, -0.002, 0.006200000000000001, -0.0019, 2.391, 0.002, 0.0048000000000000004, -0.0018000000000000002, 2.4097, 0.0019, 0.0047, 1.3187, 3.1403000000000003, 0.8923000000000001, 0.0023, -1... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0022) q[0];
rz(-2.0588) q[0];
rx(-0.0022) q[1];
rz(1.4033) q[1];
rx(-0.0019) q[2];
rz(2.391) q[2];
rx(-0.0018) q[3];
rz(2.4097) q[3];
rx(1.3187) q[4];
rz(3.1403) q[4];
rx(-1.2302) q[5];
rz(0.0014) q[5];
rx(-1.184) q[6];
rz(-0.001) q[6];
crx(1.3501) 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
8974e5cad06096779812bbdbc32e906b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.23596678962140735, "params": [[0.0693, -0.0567], [-0.0787, 0.0015]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.009116747742407262, 0.009128018592246712], "optimization_time": 2.946895122528076} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0693) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0693) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.0693) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(0.0693) q[2];
cx q[1], q[2];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
983442ca2b6d0bd60908e6b5c7a55830 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1935], "expectation_value": -10.871299678842307, "params": [-0.3901, 0.4123, 0.6755, 0.0035, 0.7522000000000001, 2.1027, 0.5436, 0.0044, 0.807, 1.5849, -0.1383, 0.0032, 0.8257, 1.0679, -0.5613, 0.0059, 0.002, 1.0979, -0.0018000000000000002, 0.0067, -0.002, 0.9253, 0.0018000000000000002, 0.009600000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.3901) q[0];
rz(0.4123) q[0];
rx(0.7522) q[1];
rz(2.1027) q[1];
rx(0.807) q[2];
rz(1.5849) q[2];
rx(0.8257) q[3];
rz(1.0679) q[3];
rx(0.002) q[4];
rz(1.0979) q[4];
rx(-0.002) q[5];
rz(0.9253) q[5];
rx(0.0015) q[6];
rz(1.3412) q[6];
rx(-0.8388) 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": 6} | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 16.303542375564575} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | 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(-1.5158) q[3];
ry(-1.4449) q[1];
ry(-1.445) q[2];
ry(1.4417) q[0];
cry(-1.0398) q[4], q[5];
ry(0.7022) q[4];
ry(-0.4577) q[5];
cry(0.4969) q[0], q[4];
cry(-0.3761) q[0], q[5];
cry(-0.1216) q[0], q[1];
cry(-0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c86f9ec7eec6446b2b675d70d15f99d1 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [499, 511], "expectation_value": -8.27014561185883, "params": null, "bitstrings": ["1000001100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.11185097964608791, 0.3348294975918606], "optimization_time": 138.54729580879211} | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 5 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5681) q[9], q[1];
ry(1.0829) q[9];
cry(1.5701) q[1], q[8];
ry(0.3995) q[1];
cry(1.5486) q[6], q[7];
cry(1.2305) q[7], q[6];
cry(1.5486) q[4], q[5];
cry(1.2305) q[5], q[4];
... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5681) q[9], 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] = measu... |
cdb1ebb70ff63dada49563c8267249d6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 992], "expectation_value": -2.455674070343752, "params": [[-0.058100000000000006], [0.0694]], "bitstrings": ["1111111111", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0017792364382707541, 0.0018949036656726716], "optimization_time": 3.337141752243042} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.2324) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0581) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2905) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2324) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 9} | {"circuits": [], "gradients": []} |
b305367bc2e2ddaa066fe8b84210618a | 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": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -18.185896712846453, "params": [[0.034800000000000005, 0.0066], [-0.0684, -0.056400000000000006]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010543618556119027, 0.0119423028893839], "optimization_time": 3.1191375255584717} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2784) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2784) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2784) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2784) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
ab957251534d09507f870c3a6ef42154 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 17.23260498046875} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[0];
ry(1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[4];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[3];
cry(0.1188) q[3], q[1];
cry(0.1186) q[1], q[4];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
b85dd6ace7c460bbb04bd7cae4a67e40 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [368, 376], "expectation_value": -6.496448121015106, "params": [[[-0.0004, 0.0014, 0.006200000000000001, 0.0099], [1.383, -0.0028, 0.8831, 0.0043], [0.0029000000000000002, 0.006, 0.0023, 0.004200000000000001], [1.0493000000000001, -0.002, 1.0505, 0.001], [1.6028, 0.005, 0.0079, 0.0001], [0.38, 0.012, 1.58560... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110000111", "1010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0004) q[0];
rz(0.0014) q[0];
ry(1.383) q[1];
rz(-0.0028) q[1];
ry(0.0029) q[2];
rz(0.006) q[2];
ry(1.0493) q[3];
rz(-0.002) q[3];
ry(1.6028) q[4];
rz(0.005) q[4];
ry(0.38) q[5];
rz(0.012) q[5];
ry(1.6033) q[6];
rz(0.005) q[6];
ry(-0.0033) q[7];
rz(-0.7... | 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": []} |
65508d90dd1df6aeab3034db48b3eb97 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 8}, {"weight": 12, "sourc... | {"states": [122, 234], "expectation_value": -36.96566110758862, "params": null, "bitstrings": ["110000101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.06997996072615717, 0.28655766458081916], "optimization_time": 147.23423290252686} | 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(6) @ Z(3)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 9.5 * Z(2) + 6.5 * Z(0) + 10.5 * Z(1) + 11.0 * Z(3) + 2.5 * Z(4) + 7.0 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["100010101"]} | 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(-2.4156) q[3];
ry(63.2287) q[7];
ry(-5.3058) q[1];
cry(62.5414) q[1], q[7];
cry(4.91) q[1], q[3];
ry(0.2475) q[5];
cry(-0.0515) q[1], q[5];
ry(0.2868) q[2];
cry(0.5044) q[2], q[3];
cry(... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"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(-2.4156) 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] = ... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 22.07631254196167} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | 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[3];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[0];
cry(-0.1259) q[5], q[1];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[4];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
-2568259880308180167 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2], [2, 3], [2, 5], [4, 6], [2, 6], [0, 3]]} | {"states": [43, 11], "expectation_value": -1.771136913599877, "params": [[[0.4788, 0.0078000000000000005], [1.4814, 0.0024000000000000002], [0.48140000000000005, 0.0025], [2.7049000000000003, 0.005200000000000001], [0.4763, 0.0055000000000000005], [2.6041000000000003, 0.0071], [2.7012, 0.0036000000000000003]]], "bitstr... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110100", "0011100", "0110100", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4788) q[0];
rz(0.0078) q[0];
rx(1.4814) q[1];
rz(0.0024) q[1];
rx(0.4814) q[2];
rz(0.0025) q[2];
rx(2.7049) q[3];
rz(0.0052) q[3];
rx(0.4763) q[4];
rz(0.0055) q[4];
rx(2.6041) q[5];
rz(0.0071) q[5];
rx(2.7012) q[6];
rz(0.0036) 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] 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": []} |
-7766961286763522825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6], [0, 1, 2, 3, 4, 7], [3, 6], [1, 5], [6, 7], [3, 5, 7]]} | {"states": [209, 241], "expectation_value": -0.04681152438140676, "params": [[0.0745], [-0.0718]], "bitstrings": ["00101110", "00001110"], "total_optimization_steps": 10, "probabilities": [0.004235271298023395, 0.004243795013413398], "optimization_time": 0.8252015113830566} | 0.19999999999999998 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0298) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0248) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0248) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.005) q[1];
cx q[2], q[1];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6]... | null | {"circuits": [], "gradients": []} |
87817ed0e2b47d9c36c22c880413bf31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [3759, 3727], "expectation_value": -1.2511117471131494, "params": [1.8998000000000002, 0.0024000000000000002, 1.9017000000000002, 0.0014, 1.9001000000000001, 0.0002, 1.0878, 0.001, 1.9084, 0.0026000000000000003, -0.0023, 0.0011, 1.5258, 0.0089, 1.5137, 0.0028, 1.9047, 0.0098, 1.9033, 0.0082, 1.9007, 0.0047, ... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.21875, -4.21875, -4.21875, -4.21875, -4.21875, -4.21875, -4.21875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -3.21875, "smallest_bitstrings": ["001101100000", "001001100001", "000101010100", "000101100010", "010101010000", "000101110000", "010001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8998) q[0];
rz(0.0024) q[0];
rx(1.9017) q[1];
rz(0.0014) q[1];
rx(1.9001) q[2];
rz(0.0002) q[2];
rx(1.0878) q[3];
rz(0.001) q[3];
rx(1.9084) q[4];
rz(0.0026) q[4];
rx(-0.0023) q[5];
rz(0.0011) q[5];
rx(1.5258) q[6];
rz(0.0089) q[6];
rx(1.5137) 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": []} |
39c299614cdca1aeef06b4d05c46dd6e | 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": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [5, 1], "expectation_value": -3.5513459578128788, "params": [[0.0697, 0.0688, 0.0623, 0.0726], [-0.0722, -0.0658, -0.053200000000000004, -0.064]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02722751287250591, 0.04469959541203082], "optimization_time": 10.3103871... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1394) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0348) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0348) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0697) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8190, 8191], "expectation_value": -34.457968562834516, "params": [0.0032, 0.8494, 0.0041, 0.8737, -0.0044, 0.7098, 0.006, 0.8671000000000001, 0.7823, -0.0031000000000000003, 0.787, 0.0008, 0.7823, -0.001, 0.7882, -0.0014, 0.7821, 0.0034000000000000002, 0.7825000000000001, 0.0033, 0.7894, -0.0028, 0.7942, -0... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 7 | 15 | 2 | {"smallest_eigenvalues": [-35.33333333333288], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.33333333333316, "smallest_bitstrings": ["110000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0032) q[0];
rz(0.8494) q[0];
rx(-0.0044) q[1];
rz(0.7098) q[1];
rx(0.7823) q[2];
rz(-0.0031) q[2];
rx(0.7823) q[3];
rz(-0.001) q[3];
rx(0.7821) q[4];
rz(0.0034) q[4];
rx(0.7894) q[5];
rz(-0.0028) q[5];
rx(0.7879) q[6];
rz(-0.0049) q[6];
rx(0.7833) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [2, 1], "expectation_value": -9.363444202838483, "params": null, "bitstrings": ["1101", "1110"], "total_optimization_steps": 18, "probabilities": [0.174792396062558, 0.6619641889393559], "optimization_time": 8.234177589416504} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5729) q[0];
ry(-1.5508) q[1];
cry(-0.9979) q[3], q[0];
cry(-1.5708) q[3], q[2];
ry(0.5867) q[3];
ry(-0.3578) q[2];
cry(-0.8698) q[2], q[0];
cry(-0.3548) q[0], q[3];
cry(-0.1705) q[0], q[2];
cry(-0.02) q[3], q[1];
cry(-0.02... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[0];\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];\... |
a3571c19d72a014065614d323aff3379 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.004825170536063433, "params": [[-0.0106], [0.0176]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.015683053594458943, 0.01569469371346541], "optimization_time": 0.9925885200500488} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0106) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0106) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0106) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0106) q[5];
cx q[4], q[5];
cx q[0], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0... | null | {"circuits": [], "gradients": []} |
018b12be912e09a2d77e686d7af8fddd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [132, 164], "expectation_value": -5.261632212819652, "params": [0.3, -0.0, 0.29660000000000003, -0.0009000000000000001, 0.0558, 0.165, 0.054700000000000006, 0.16920000000000002, 0.28290000000000004, 0.0236, 0.2838, 0.0623, 0.08660000000000001, 0.10160000000000001, 0.0952, 0.09860000000000001, 0.0104000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001011", "00111011", "01011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3) q[0];
rz(0) q[0];
rx(0.0558) q[1];
rz(0.165) q[1];
rx(0.2829) q[2];
rz(0.0236) q[2];
rx(0.0866) q[3];
rz(0.1016) q[3];
rx(0.0104) q[4];
rz(0.1587) q[4];
rx(0.3047) q[5];
rz(0.076) q[5];
rx(-0.0083) q[6];
rz(0.1629) q[6];
rx(-0.0181) q[7];
rz(0.1709) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.03312110900879} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[2];
cry(1.5486) q[3], q[1];
cry(1.5486) q[1], q[4];
cry(-1.5486) q[4], q[0];
ry(0.1215) q[4];
cry(-0.2402) q[4], q[1];
cry(-0.2759) q[2], q[3];
ry(-0.2324) q[1];
cry(-0.3923) q[4], q[3];
cry(-0.4861) q[2], q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
d570f88b03391174f5c4fdc37798fafa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [208, 240], "expectation_value": -3.5051836398033536, "params": [0.8039000000000001, -0.09290000000000001, 0.8052, 0.0025, 0.8033, 0.12190000000000001, 0.8068000000000001, 0.009300000000000001, 0.8025, -0.0927, 0.801, 0.0048000000000000004, 0.7994, 0.1772, 0.8031, 0.0038, 0.19160000000000002, -0.397300000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + -1.0 * Z(4) + -1.5 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8039) q[0];
rz(-0.0929) q[0];
rx(0.8033) q[1];
rz(0.1219) q[1];
rx(0.8025) q[2];
rz(-0.0927) q[2];
rx(0.7994) q[3];
rz(0.1772) q[3];
rx(0.1916) q[4];
rz(-0.3973) q[4];
rx(0.1903) q[5];
rz(0.4163) q[5];
rx(-0.0129) q[6];
rz(-0.3795) q[6];
rx(0.0838) 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": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -4.970800240386627, "params": [0.6928000000000001, 0.1973, 1.0522, 0.1573, 0.4612, 0.3831, 1.0668, 0.21380000000000002, 0.3176, 0.4078, 1.0651000000000002, 0.0001, 0.4504, 0.37720000000000004, 1.0542, 0.0718, 0.7180000000000001, 0.1812, 0.6890000000000001, 0.1814, 1.0559, 0.1... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 18 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6928) q[0];
rz(0.1973) q[0];
rx(1.0522) q[1];
rz(0.1573) q[1];
rx(0.4612) q[2];
rz(0.3831) q[2];
rx(1.0668) q[3];
rz(0.2138) q[3];
rx(0.3176) q[4];
rz(0.4078) q[4];
rx(1.0651) q[5];
rz(0.0001) q[5];
rx(0.4504) q[6];
rz(0.3772) q[6];
rx(1.0542) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
7a43ef6d49c93e460e1d835c9d0a952d | 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": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [2047, 1023], "expectation_value": -12.546714638829863, "params": [[[0.0021000000000000003, 0.08070000000000001], [-0.0044, -0.0022], [-0.0039000000000000003, 0.0019], [-0.008, -0.0024000000000000002], [-0.0025, 0.0019], [-0.0014, -0.0029000000000000002], [-0.0086, -0.0027], [-0.0028, 0.002], [-0.0037, -0.00... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 2.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -0.75 * (Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["10000000000", "10010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0021) q[0];
ry(-0.0044) q[1];
ry(-0.0039) q[2];
ry(-0.008) q[3];
ry(-0.0025) q[4];
ry(-0.0014) q[5];
ry(-0.0086) q[6];
ry(-0.0028) q[7];
ry(-0.0037) q[8];
ry(-0.0005) q[9];
ry(1.6548) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
9216166679680102600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 11], [8, 9, 4, 7], [1, 2, 3, 8, 9, 10], [8, 0, 10], [0, 2, 4, 6, 9, 11], [2, 3, 5, 6, 8, 10, 11], [8, 9, 1, 7], [0, 3, 4, 5, 6, 11], [1, 3, 6, 7, 9, 10, 11], [8, 9, 3, 7], [0, 1, 3, 5, 7, 9], [0, 2, 3, 4, 5, 6, 8], [2, 4, 5, 6, 8, 9, 10... | {"states": [3446, 2934], "expectation_value": -4.9892523403730795, "params": [1.5746, 0.0025, 1.5715000000000001, 0.0027, 1.8598000000000001, -0.2903, 1.7964, -0.5004000000000001, 0.6663, 0.3084, 0.6658000000000001, 0.005, 2.2799, 0.055400000000000005, 0.8767, -0.4456, 0.0031000000000000003, 1.8102, 0.0027, 0.0044, 1.5... | 0.2809523809523809 * (Z(0) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(1)) + 0.1880952380952381 * (Z(4) @ Z(0)) + 0.2238095238095238 * (Z(5) @ Z(1)) + 0.23809523809523808 * (Z(5) @ Z(0)) + 0.1857142857142857 * (Z(5) @ Z(4)) + 0.31190476190476185 * (Z(7) @ Z(1)) + 0.20476190476190476 * (Z(7) @ Z(0)) + 0.23809523809523805 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.176190476190476, -5.176190476190476], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.173809523809524, "smallest_bitstrings": ["010010101000", "010010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5746) q[0];
rz(0.0025) q[0];
rx(1.8598) q[1];
rz(-0.2903) q[1];
rx(0.6663) q[2];
rz(0.3084) q[2];
rx(2.2799) q[3];
rz(0.0554) q[3];
rx(0.0031) q[4];
rz(1.8102) q[4];
rx(1.5171) q[5];
rz(-0.05) q[5];
rx(1.5743) q[6];
rz(0.0026) q[6];
rx(1.6265) 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": []} |
cea40deaccddfc7c282a06b59a6c5087 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1966, 1962], "expectation_value": -1.5752897912601604, "params": [1.0070000000000001, 1.0057, 1.0074, 1.0072, 1.0045, 1.0046, 1.006, 1.0048000000000001, 0.0019, 0.0019, 1.0070000000000001, 0.9997, 0.3512, 0.3511, 0.9948, 0.9957, 0.7585000000000001, 0.7619, 1.0044, 0.9975, 0.7537, 0.7553000000000001, -0.0264... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.007) q[0];
ry(1.0074) q[1];
ry(1.0045) q[2];
ry(1.006) q[3];
ry(0.0019) q[4];
ry(1.007) q[5];
ry(0.3512) q[6];
ry(0.9948) q[7];
ry(0.7585) q[8];
ry(1.0044) q[9];
ry(0.7537) q[10];
crz(-0.0264) q[10], q[0];
crz(0.1266) q[9], q[10];
crz(-0.1421) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1434096e59219230a9a448bfa214dbb8 | min_cut | vqe | {"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": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [30, 31], "expectation_value": -3.5244052878380954, "params": [[[0.7203, -0.7102], [0.0025, 1.5874000000000001], [-0.0026000000000000003, -0.0026000000000000003], [-0.0026000000000000003, -0.0028], [-1.6553, 0.0029000000000000002], [-0.0027, 0.0029000000000000002]]], "bitstrings": ["100001", "100000"], "tota... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.7203) q[0];
ry(0.0025) q[1];
ry(-0.0026) q[2];
ry(-0.0026) q[3];
ry(-1.6553) q[4];
ry(-0.0027) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.7102) q[0];
ry(1.5874) q[1];
ry(-0.0026) q[2];
ry(-0.0028)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
cx... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8777ff3c42e14a86c796b9915ca51225 | 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": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -11.196528183089164, "params": [[0.0422], [-0.0693]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007648325430756967, 0.007810641452555734], "optimization_time": 1.9650616645812988} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3798) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3798) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3798) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.3798) q[4];
cx q[0], q[4];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
57a4b911d32dbf9313db11214604ae1f | 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": [685, 681], "expectation_value": -98.67515904954922, "params": [1.0001, 0.2003, 0.1255, 0.45270000000000005, 0.9943000000000001, 0.0089, 0.0032, 0.6141, 0.9903000000000001, 0.007, 0.0038, 0.6973, 0.9927, 0.1388, 0.5487000000000001, 0.257, 0.3552, -0.317, 0.6044, 0.158, 0.9968, 0.19690000000000002, 0.1311, 0.... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(9) @ Z(7)) + 17.5 * Z(0) ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["0101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0001) q[0];
rz(0.2003) q[0];
rx(0.1255) q[1];
rz(0.4527) q[1];
rx(0.9943) q[2];
rz(0.0089) q[2];
rx(0.0032) q[3];
rz(0.6141) q[3];
rx(0.9903) q[4];
rz(0.007) q[4];
rx(0.0038) q[5];
rz(0.6973) q[5];
rx(0.9927) q[6];
rz(0.1388) q[6];
rx(0.5487) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
2e1dacbc6cad5ed3879997ca6d5d8c7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [112, 97], "expectation_value": -4.99651565542273, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 22, "probabilities": [0.06700924257675868, 0.9297458928381555], "optimization_time": 23.269514322280884} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(5) + -1.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011110", "0111010", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[0];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(-0.4578) q[2];
cry(0.497) q[1], q[6];
cry(-0.3761) q[1], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7315cffe0b5dede12a8ac7922de6354f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7933, 7420], "expectation_value": -39.430376087171645, "params": [[-0.0258, -0.0412, -0.0796, -0.1799], [0.4728, 0.3447, 0.2654, 0.1693]], "bitstrings": ["0000100000010", "0001100000011"], "total_optimization_steps": 60, "probabilities": [0.018114856331318905, 0.018171960831157206], "optimization_time": 32.... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 1 | 13 | 4 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[5], q[0];
rz(0.0258) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.1032) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.0516) q[6];
cx q[0], q[6];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | 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": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.833953912157355, "params": [0.2787, 0.049100000000000005, 0.26630000000000004, -0.0471, 0.26780000000000004, 0.0442, 0.2757, -0.0381, 0.004, 0.5341, -0.0004, 0.5704, 0.0475, 0.4203, -0.0776, 0.49660000000000004, -0.054200000000000005, 0.3806, -0.0492, 0.48500000000000004, -... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 4 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2787) q[0];
rz(0.0491) q[0];
rx(0.2678) q[1];
rz(0.0442) q[1];
rx(0.004) q[2];
rz(0.5341) q[2];
rx(0.0475) q[3];
rz(0.4203) q[3];
rx(-0.0542) q[4];
rz(0.3806) q[4];
rx(-0.0432) q[5];
rz(0.4484) q[5];
rx(-0.1215) q[6];
rz(0.4551) q[6];
rx(-0.0208) 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... | {"node": 5} | {"circuits": [], "gradients": []} |
-8883958345694491462 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [2, 3], [0, 2], [1, 5], [0, 4], [0, 6]]} | {"states": [213, 93], "expectation_value": -2.7493732388822787, "params": null, "bitstrings": ["100101010", "110100010"], "total_optimization_steps": 70, "probabilities": [0.05046020399435068, 0.7203263398954631], "optimization_time": 75.19822430610657} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001011101", "001011110", "011010110", "011010101", "100101001", "100101010", "110100001", "110100010"]} | 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[0];
cry(-1.0342) q[5], q[1];
cry(-1.0342) q[8], q[7];
cry(-1.0342) q[2], q[3];
ry(1.0293) q[2];
ry(-0.6992) q[3];
cry(-0.6534) q[4], q[0];
ry(0.9979) q[6];
cry(1.1473)... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
2c89eaac5bcf6376fd12aee452ccfaa3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": ... | {"states": [2048, 2047], "expectation_value": -17.23596321683213, "params": [[[-0.0008, 0.008400000000000001], [0.0056, -0.0066], [0.0037, -0.0022], [0.0041, 0.0026000000000000003], [0.007, 0.0025], [0.0004, 0.0025], [0.0055000000000000005, -0.0028], [0.0027, -0.0025], [0.0047, 0.0025], [0.0053, 0.0029000000000000002],... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(4)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(10) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ ... | 15 | 12 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0008) q[0];
ry(0.0056) q[1];
ry(0.0037) q[2];
ry(0.0041) q[3];
ry(0.007) q[4];
ry(0.0004) q[5];
ry(0.0055) q[6];
ry(0.0027) q[7];
ry(0.0047) q[8];
ry(0.0053) q[9];
ry(-1.3451) q[10];
ry(-0.3786) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d6991d057b315b177a32f1a4a2aac75c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [506, 250], "expectation_value": -3.0520281403180767, "params": [0.09380000000000001, 0.1004, 0.0965, 0.09920000000000001, 0.3025, 0.2993, 0.2995, 0.29510000000000003, 0.2958, 0.30460000000000004, 0.2994, 0.3044, 0.2992, 0.29860000000000003, -0.0028, -0.005, 0.2999, 0.3029, 0.0017000000000000001, -0.00060000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 10 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000000111", "0010100101", "1000100101", "0100100101", "1100000101", "0100010101", "0101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0938) q[0];
ry(0.0965) q[1];
ry(0.3025) q[2];
ry(0.2995) q[3];
ry(0.2958) q[4];
ry(0.2994) q[5];
ry(0.2992) q[6];
ry(-0.0028) q[7];
ry(0.2999) q[8];
ry(0.0017) q[9];
crx(-0.0328) q[9], q[0];
crx(-0.0007) q[8], q[9];
crx(0.2294) q[7], q[8];
crx(0.0015) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.3011028177276146, "params": [[-0.0472, -0.06760000000000001], [0.061700000000000005, 0.062200000000000005]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.018900352187076766, 0.019458789045201572], "optimization_time": 3.373411893844... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0472) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0472) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0472) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(-0.0472) q[4];
cx q[2], q[4];
cx q[2], 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] 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 q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
23566b7dc073070f3c3d1febbd648acb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [80, 208], "expectation_value": -4.979668644321254, "params": [[[0.4006, -0.0009000000000000001], [0.40590000000000004, -0.0013000000000000002], [0.1337, 0.13970000000000002], [0.39840000000000003, 0.0014], [-0.0067, 0.1963], [-0.0017000000000000001, -0.18430000000000002], [-0.0055000000000000005, -0.1962], ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["00101111", "11011100", "00111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4006) q[0];
rz(-0.0009) q[0];
rx(0.4059) q[1];
rz(-0.0013) q[1];
rx(0.1337) q[2];
rz(0.1397) q[2];
rx(0.3984) q[3];
rz(0.0014) q[3];
rx(-0.0067) q[4];
rz(0.1963) q[4];
rx(-0.0017) q[5];
rz(-0.1843) q[5];
rx(-0.0055) q[6];
rz(-0.1962) q[6];
rx(-0.0057) 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": []} |
04fe200220cb0278b572d83172c75de9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [4, 5], "expectation_value": -9.249999999982546, "params": null, "bitstrings": ["1111011", "1111010"], "total_optimization_steps": 23, "probabilities": [4.6560002562450655e-12, 0.9999999999936049], "optimization_time": 17.682284116744995} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | 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];
cry(-1.5708) q[4], q[2];
ry(-1.5486) q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.5708) q[6];
ry(-1.5681) q[3];
cry(-0.0222) q[4], q[5];
cry(-0.0027) q[6], q[0];
cry(-0.0027) q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
-6564145062955255317 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1, 3], [2, 4], [4, 6]]} | {"states": [102, 115], "expectation_value": -0.6231115041353066, "params": [[0.37370000000000003], [-0.3672]], "bitstrings": ["0011001", "0001100"], "total_optimization_steps": 40, "probabilities": [0.022620828345593008, 0.022620828345593008], "optimization_time": 1.6050138473510742} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(5) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0011001", "0001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(0.3737) q[3];
cx q[5], q[3];
cx q[3], q[0];
rz(0.1246) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1246) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1246) q[1];
cx q[0], q[1];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.331519842147827} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.4449) q[4], q[2];
cry(-1.4449) q[4], q[0];
cry(0.8211) q[2], q[4];
ry(-1.3) q[3];
cry(-0.432) q[2], q[0];
cry(1.2172) q[4], q[1];
ry(0.1675) q[4];
cry(0.3046) q[2], q[1];
ry(0.1607) q[2];
cry(-0.2337) q[1], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 16.316953897476196} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[3];
ry(1.5708) q[1];
cry(-1.5706) q[1], q[0];
ry(1.5708) q[4];
cry(1.5681) q[4], q[2];
cry(-0.0002) q[4], q[0];
cry(0.0001) q[4], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -15.920684385566236, "params": [[-0.0323, -0.0085], [0.06280000000000001, 0.07010000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010140456528555533, 0.012146420539498718], "optimization_time": 3.821640968322754} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2584) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2584) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.2584) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.2584) q[5];
cx q[4], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d8599bde85b0c05964d24178d1386cdc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 59], "expectation_value": -124.00782092572861, "params": [-0.003, 0.5487000000000001, -0.0015, 0.546, -0.0009000000000000001, 0.6618, 0.741, -0.0059, 0.7915000000000001, 0.0056, 0.7629, 0.0021000000000000003, 0.34140000000000004, 0.25, 0.873, 0.1169, 0.6622, 0.023200000000000002, -0.0005, 0.5465, -0.006... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(3) @ Z(7)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(3) @ Z(8)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.0, "smallest_bitstrings": ["111000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.003) q[0];
rz(0.5487) q[0];
rx(-0.0015) q[1];
rz(0.546) q[1];
rx(-0.0009) q[2];
rz(0.6618) q[2];
rx(0.741) q[3];
rz(-0.0059) q[3];
rx(0.7915) q[4];
rz(0.0056) q[4];
rx(0.7629) q[5];
rz(0.0021) q[5];
rx(0.3414) q[6];
rz(0.25) q[6];
rx(0.873) q[7];
rz(0.11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
470175375158941654 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [8, 6], [1, 3, 5], [5, 6], [0, 3], [4, 6, 7], [8, 1], [8, 7]]} | {"states": [57, 230], "expectation_value": -0.08427462423537486, "params": [[0.0787], [-0.0781]], "bitstrings": ["111000110", "100011001"], "total_optimization_steps": 10, "probabilities": [0.0022845163848517983, 0.0023025647441849706], "optimization_time": 2.52742338180542} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(0.0787) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(0.0262) q[6];
cx q[4], q[6];
cx q[6], q[8];
rz(0.0787) q[8];
cx q[6], q[8];
cx q[8], q[1];
rz(0.0787) 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(x1) q[6];
cx q[4], q[6];
cx q[6], q[8];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
-3262654968474390693 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 2], [0, 4], [0, 1], [2, 3], [3, 5], [0, 5], [0, 2], [4, 5]]} | {"states": [54, 38], "expectation_value": -2.2812493298190333, "params": null, "bitstrings": ["001001", "011001"], "total_optimization_steps": 41, "probabilities": [0.37927777674136404, 0.45839866646070293], "optimization_time": 40.09931492805481} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["011001", "010110", "001001", "100110", "110110", "101001"]} | 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[2];
cry(-1.0342) q[0], q[5];
ry(1.0293) q[4];
cry(1.4052) q[4], q[3];
cry(-0.9035) q[3], q[2];
cry(-0.7688) q[4], q[5];
ry(1.2774) q[0];
cry(-0.2479) q[3], q[5];
cry(0.2939) q[3], q[4];
cry(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[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 ... |
cf9a1540b011355d554ff1ed574e9153 | 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": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -33.109392399075645, "params": [[-0.0402, -0.004, 0.0027, 0.0059], [0.0762, 0.0687, 0.068, 0.0597]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.02309108035702808, 0.02633566195813528], "optimization_time": 6.180098533630371} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | 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(-0.3216) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3216) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3216) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3216) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-746077927858631906 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5], [1, 4, 6], [0, 1, 4], [0, 3, 4], [2, 3], [2, 6], [4, 5], [1, 3, 6]]} | {"states": [75, 107], "expectation_value": -0.8892260548953594, "params": [[0.27990000000000004], [-0.2861]], "bitstrings": ["0110100", "0010100"], "total_optimization_steps": 30, "probabilities": [0.02152047099746831, 0.022358470162452296], "optimization_time": 1.9416606426239014} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(0.2799) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.2799) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.1866) q[1];
cx q[4], q[1];
cx q[2], q[6];
rz(0.2799) q[6];
cx q[2], q[6];
cx q[4], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
da6de443994ec7cab9dac14bc89c1781 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [200, 136], "expectation_value": -8.97878244600087, "params": [0.0032, 0.30110000000000003, -0.0015, 0.30870000000000003, 0.001, 0.30810000000000004, 0.0043, 0.2979, 0.0015, 0.3033, 0.001, 0.31020000000000003, 0.0015, 0.2652, 0.0008, 0.30810000000000004, 0.0455, -0.034800000000000005, 0.029, 0.05950000000000... | -0.5 * (Z(12) @ Z(4)) + -1.0 * (Z(13) @ Z(4)) + 2.0 * (Z(13) @ Z(12)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(12)) + -1.0 * (Z(5) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(12)) + -1.0 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(12)) + -1.0 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(... | 6 | 14 | 2 | {"smallest_eigenvalues": [-10.099999999999934, -10.099999999999934], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.099999999999923, "smallest_bitstrings": ["11110011010001", "11111101110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0032) q[0];
rz(0.3011) q[0];
rx(0.001) q[1];
rz(0.3081) q[1];
rx(0.0015) q[2];
rz(0.3033) q[2];
rx(0.0015) q[3];
rz(0.2652) q[3];
rx(0.0455) q[4];
rz(-0.0348) q[4];
rx(0.0001) q[5];
rz(0.274) q[5];
rx(0.4031) q[6];
rz(0.0048) q[6];
rx(0.4033) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.6813283448609652, "params": [[-0.0678, -0.0857], [0.0671, 0.0765]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.021119107025043996, 0.023196180690654402], "optimization_time": 2.9371020793914795} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | 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(-0.0678) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0678) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0678) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.0678) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [38, 7], "expectation_value": -5.969696242052263, "params": [[[1.5728, 1.5212], [0.0453, 1.5253], [0.0019, 0.0161], [1.5259, 1.6199000000000001], [1.6053000000000002, 0.7718], [1.5730000000000002, 1.5727]]], "bitstrings": ["011001", "111000"], "total_optimization_steps": 250, "probabilities": [0.424119762673... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 15 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.5728) q[0];
ry(0.0453) q[1];
ry(0.0019) q[2];
ry(1.5259) q[3];
ry(1.6053) q[4];
ry(1.573) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.5212) q[0];
ry(1.5253) q[1];
ry(0.0161) q[2];
ry(1.6199) q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x1... | {"k": 3} | {"circuits": [], "gradients": []} |
9d210320770659afd6c4df9432851dd5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 1021], "expectation_value": -0.4426770334865846, "params": [[0.0761], [-0.0679]], "bitstrings": ["0000000000", "0000000010"], "total_optimization_steps": 10, "probabilities": [0.0013967425811516464, 0.0014258186210762249], "optimization_time": 2.753634452819824} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.1522) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.2283) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.2283) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.2283) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4]... | {"node": 7} | {"circuits": [], "gradients": []} |
-5016235471855996807 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5], [1, 3, 6], [0, 1, 3, 5], [3, 4, 6], [3, 5, 6], [0, 3, 6], [0, 4, 5], [2, 6], [0, 2], [1, 4, 5, 6], [1, 7]]} | {"states": [198, 124], "expectation_value": -1.111060284487728, "params": [[0.2452], [-0.2336]], "bitstrings": ["00111001", "10000011"], "total_optimization_steps": 30, "probabilities": [0.00954783381010378, 0.009926734528610306], "optimization_time": 7.058113098144531} | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.66666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(0.0409) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1226) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0409) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.1635) q[5];
cx q[3], q[5];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
4555823087914865756 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 6, 7], [0, 1, 2, 3, 4], [0, 1, 2, 3, 5, 6], [3, 4, 5]]} | {"states": [245, 213], "expectation_value": -0.8162952277955026, "params": null, "bitstrings": ["00001010", "00101010"], "total_optimization_steps": 52, "probabilities": [0.21673610523862363, 0.2861661915213444], "optimization_time": 82.48043632507324} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9333333333333336, -0.9333333333333336, -0.9333333333333336], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9333333333333333, "smallest_bitstrings": ["00100101", "00101010", "01000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.3988) q[3];
ry(0.7035) q[0];
cry(0.4439) q[3], q[0];
cry(-0.3764) q[5], q[4];
cry(-0.2749) q[4], q[5];
ry(0.2643) q[5];
cry(0.132) q[0], q[3];
cry(0.1844) q[3], q[5];
cry(-0.1861) q[0], q[4];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3988) 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[... |
a334efffc8d0c28570497f55907aa2b4 | 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": [634, 602], "expectation_value": -79.64937286027815, "params": [0.9957, 0.2536, 0.1303, 0.5043, 0.0021000000000000003, 0.73, 0.9948, 0.1507, 0.5524, 0.3121, 0.9955, 0.0005, 0.9977, 0.1356, -0.0044, 0.5877, 0.9967, 0.2808, 0.1635, 0.5293, 1.0005, 0.2555, 0.125, 0.5104000000000001, 0.0041, 0.6229, 0.9992000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 10.0 * Z(0) + 12.5 * Z(3) + 15.5 * Z(5) + 11.0 * Z(4) + 6.0 * Z(6) + -4.0 * Z(7) + 1.0 ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["0110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9957) q[0];
rz(0.2536) q[0];
rx(0.1303) q[1];
rz(0.5043) q[1];
rx(0.0021) q[2];
rz(0.73) q[2];
rx(0.9948) q[3];
rz(0.1507) q[3];
rx(0.5524) q[4];
rz(0.3121) q[4];
rx(0.9955) q[5];
rz(0.0005) q[5];
rx(0.9977) q[6];
rz(0.1356) q[6];
rx(-0.0044) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
6cffe11a862f6465de426e477843dd3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [468, 453], "expectation_value": -0.2299861211419525, "params": [[0.0063, -0.29860000000000003, 0.0008, 0.0028, 0.0049, 0.0071, 0.0055000000000000005, -0.0033, 0.0015], [0.0054, 1.1465, -1.2184000000000001, 0.0054, 0.0017000000000000001, 0.007200000000000001, -1.2683, 0.0077, 0.0006000000000000001], [0.0037,... | 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... | 9 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110100", "001011010", "100011010", "010011010", "010010110", "010010101", "010010011", "011010010", "000111100", "000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0063) q[0];
rx(-0.2986) q[1];
rx(0.0008) q[2];
rx(0.0028) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8132906901157302131 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3, 4, 6], [0, 1, 3, 4], [0, 1, 6, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6], [1, 3, 4, 5, 7]]} | {"states": [245, 246], "expectation_value": -0.7973188557707449, "params": [[-0.342], [0.3462]], "bitstrings": ["00001010", "00001001"], "total_optimization_steps": 40, "probabilities": [0.008050428879987678, 0.008083044613713728], "optimization_time": 4.096635580062866} | 0.05 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.1333333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5500000000000003, -1.5500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5499999999999998, "smallest_bitstrings": ["00001001", "01000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0342) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1026) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0912) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0684) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
533fcd480a5175680493f52fe07173d6 | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 46.4078414440155} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5709) q[2];
cry(1.5708) q[2], q[5];
cry(1.5708) q[2], q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
cry(-1.5708) q[7], q[6];
ry(-1.4449) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[2], q[3];
cry(-0.11... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
17639781641b88f9ffa836608d3b637d | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [113, 114], "expectation_value": -0.11532128059236642, "params": [[-0.0489], [0.061700000000000005]], "bitstrings": ["0001110", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008434472027624174, 0.008522274684306474], "optimization_time": 1.3186419010162354} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0489) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0489) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0489) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.0489) q[1];
cx q[4], q[1];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} |
6e104488336dc4e2d5aa766674769faa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [113, 116], "expectation_value": -5.49988376277548, "params": null, "bitstrings": ["0001110", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414156695510915e-05, 0.9999151816609215], "optimization_time": 37.70706057548523} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[6];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[6];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[4];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
d73d59d8534bb2db64056b6b376ab049 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.4150406951968969, "params": [[-0.0403, -0.0714], [0.034300000000000004, 0.07010000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0058393020321861385, 0.005994852640303846], "optimization_time": 3.55676007270813} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0403) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0202) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0202) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0202) q[4];
cx q[2], q[4];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-6808602700793762170 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4, 5, 7, 11], [1, 10, 3], [9, 7], [1, 11], [8, 1, 3], [0, 4, 7, 8, 12], [2, 4], [4, 6], [9, 6], [10, 11, 7], [1, 12, 4, 9], [10, 4, 5], [4, 7, 8, 10, 12], [3, 5, 8, 10, 11, 12], [0, 9, 10, 4]]} | {"states": [927, 799], "expectation_value": -3.8372861357910644, "params": [0.6726000000000001, 0.6703, 0.4681, 0.46290000000000003, 0.0857, 0.0925, 1.4979, 1.4915, 1.4996, 1.4923000000000002, 0.7389, 0.7256, 0.0881, 0.09290000000000001, 0.4672, 0.4671, 1.4869, 1.4877, 1.4959, 1.4925000000000002, 1.4881, 1.4941, 1.0698... | 0.05 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(3)) + 0.08333333333333334 * (Z(11) @ Z(5)) + 0.21666666666666667 * (Z(11) @ Z(7)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.8500000000000005, "smallest_bitstrings": ["1110011100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6726) q[0];
ry(0.4681) q[1];
ry(0.0857) q[2];
ry(1.4979) q[3];
ry(1.4996) q[4];
ry(0.7389) q[5];
ry(0.0881) q[6];
ry(0.4672) q[7];
ry(1.4869) q[8];
ry(1.4959) q[9];
ry(1.4881) q[10];
ry(1.0698) q[11];
ry(1.0942) q[12];
crz(0.4396) q[12], q[0];
crz(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d718199120caa09970ec0112edaecdf9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -26.625415502267987, "params": [0.0592, 0.2495, 0.0233, 0.2765, 0.024900000000000002, 0.2828, 0.047, 0.2866, 0.054200000000000005, 0.2912, 0.49610000000000004, 0.1736, 0.4863, 0.1553, 0.0572, 0.2555, 0.028300000000000002, 0.2792, 0.026000000000000002, 0.28500000000000003, 0.0506,... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 3 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0592) q[0];
rz(0.2495) q[0];
rx(0.0233) q[1];
rz(0.2765) q[1];
rx(0.0249) q[2];
rz(0.2828) q[2];
rx(0.047) q[3];
rz(0.2866) q[3];
rx(0.0542) q[4];
rz(0.2912) q[4];
rx(0.4961) q[5];
rz(0.1736) q[5];
rx(0.4863) q[6];
rz(0.1553) q[6];
crz(0.2628) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
ee183be25ff5cf792caaa72edcb0a0c1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 255], "expectation_value": -10.050086991863616, "params": [-0.28700000000000003, 0.0984, -0.11860000000000001, 1.5396, -0.8207, 1.4481000000000002, 0.11120000000000001, 0.8332, -0.8127000000000001, 1.3929, 0.31270000000000003, 0.3083, -0.8177000000000001, 1.4086, -0.0317, 2.2, -0.8788, 0.7168, -0.0744000... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 6 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.287) q[0];
rz(0.0984) q[0];
rx(-0.8207) q[1];
rz(1.4481) q[1];
rx(-0.8127) q[2];
rz(1.3929) q[2];
rx(-0.8177) q[3];
rz(1.4086) q[3];
rx(-0.8788) q[4];
rz(0.7168) q[4];
rx(0.3659) q[5];
rz(-0.1555) q[5];
rx(0.6328) q[6];
rz(0.8466) q[6];
rx(-0.8551) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
754aee28c7d672c0aed674af64a71d63 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [14, 11], "expectation_value": -4.996463978766483, "params": null, "bitstrings": ["1110001", "1110100"], "total_optimization_steps": 29, "probabilities": [0.06634843263616869, 0.9303661238193276], "optimization_time": 27.162119150161743} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.5 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110001", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[2];
ry(-1.5681) q[0];
ry(1.4449) q[5];
ry(1.4449) q[3];
cry(-1.0343) q[6], q[4];
ry(0.7003) q[6];
ry(-0.4549) q[4];
cry(0.4963) q[5], q[6];
cry(-0.3789) q[5], q[4];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
867451604821958348 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [0, 2, 4], [1, 2, 3, 4], [0, 1, 2, 3]]} | {"states": [7, 22], "expectation_value": -0.6165819878514237, "params": [[0.4234], [-0.42210000000000003]], "bitstrings": ["11000", "01001"], "total_optimization_steps": 50, "probabilities": [0.060650569392663015, 0.06065056939266302], "optimization_time": 1.2180964946746826} | 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.083333333333333, "smallest_bitstrings": ["01001"]} | 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[3], q[0];
rz(0.2117) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.2117) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2823) q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.1411) q[2];
cx q[3], q[2];
cx q[0], q[2];
rz(0.2117) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], ... | null | {"circuits": [], "gradients": []} |
5930497901525850647 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 4], [1, 4], [2, 3]]} | {"states": [3, 28], "expectation_value": -1.6933088001002854, "params": null, "bitstrings": ["11100", "00011"], "total_optimization_steps": 29, "probabilities": [0.04608359072621474, 0.7807660464423408], "optimization_time": 19.165307760238647} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[2], q[4];
cry(-1.0342) q[2], q[3];
ry(0.7625) q[2];
cry(-0.7068) q[1], q[4];
cry(1.1319) q[2], q[1];
cry(1.2433) q[1], q[0];
cry(-0.4087) q[0], q[4];
cry(0.3539) q[1], q[2];
cry(-0.7279) q[1], q[3];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 7.875502824783325} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(-0.4578) q[3];
cry(0.4969) q[1], q[2];
cry(-0.3761) q[1], q[3];
cry(-0.1216) q[1], q[4];
cry(0.1097) q[2], q[1];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
726a5ae01318539d56f80c3be6bbd791 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1374, 1502], "expectation_value": -1.586590328036681, "params": [1.3058, -0.17270000000000002, 0.5998, -0.39590000000000003, 1.2013, -0.3769, 0.9151, -0.2908, 1.2985, -0.2665, 0.14150000000000001, -0.5890000000000001, 1.3078, -0.0029000000000000002, 1.1769, -0.3799, 0.9289000000000001, -0.32880000000000004,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.3058) q[0];
rz(-0.1727) q[0];
rx(0.5998) q[1];
rz(-0.3959) q[1];
rx(1.2013) q[2];
rz(-0.3769) q[2];
rx(0.9151) q[3];
rz(-0.2908) q[3];
rx(1.2985) q[4];
rz(-0.2665) q[4];
rx(0.1415) q[5];
rz(-0.589) q[5];
rx(1.3078) q[6];
rz(-0.0029) q[6];
rx(1.1769) 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": []} |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [8, 24], "expectation_value": -2.566448356370957, "params": [0.0028, 0.0002, 0.1967, 0.1983, 0.1983, 0.20270000000000002, 0.11420000000000001, 0.11710000000000001, 0.0051, 0.0019, 0.00030000000000000003, 0.0005, 0.0033, 0.0002, 0.19690000000000002, 0.19770000000000001, 0.2059, 0.20020000000000002, 0.11620000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(3) + -0.25 * Z(2) + -0.75 * Z(4) + -0.75 * Z(5) | 13 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0028) q[0];
ry(0.1967) q[1];
ry(0.1983) q[2];
ry(0.1142) q[3];
ry(0.0051) q[4];
ry(0.0003) q[5];
crz(0.1468) q[5], q[0];
crz(0.1272) q[4], q[5];
crz(0.0357) q[3], q[4];
crz(0.0037) q[2], q[3];
crz(0.0015) q[1], q[2];
crz(0.1118) q[0], q[1];
ry(0.0002) 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": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -1.0503030216645448, "params": [[-0.0482, -0.057600000000000005, -0.0459, -0.055600000000000004], [0.056400000000000006, 0.0709, 0.062, 0.0654]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.02749962110627453, 0.0300581389919121], "opt... | 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 | 4 | {"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];
cx q[2], q[0];
rz(-0.0482) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0482) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0482) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0482) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b9167b0dbead0ec78749403f79eff77a | 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": [143, 214], "expectation_value": -8.931660395445181, "params": [[0.0089, 0.0033, -0.079, 0.0048000000000000004, -0.0026000000000000003, -0.004, 0.0083, 0.0061, -0.0012000000000000001, 0.0038], [0.002, 0.0081, 0.9978, 0.9981000000000001, -0.0027, 0.001, 0.0088, -0.0035, 0.005, 0.9962000000000001], [0.0035, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 8.5 * Z(1) + 16.0 * Z(3) + -6.0 * Z(4) + 10.0 * Z(5) + -4.0 * Z(6) + 8.0 * Z(9) + 9.5 ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0089) q[0];
rx(0.0033) q[1];
rx(-0.079... | OPENQASM 3.0;
include "stdgates.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, 13]}"} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [29, 85], "expectation_value": -0.11871652465049913, "params": [[-0.0533], [0.0649]], "bitstrings": ["1100010", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008525380361876651, 0.008624235884600146], "optimization_time": 1.3510737419128418} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"]} | 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(-0.0533) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0533) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0533) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0533) q[5];
cx q[0], q[5];
cx q[1], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -12.718696098084388, "params": [0.0044, 0.1825, 0.0038, 0.4489, 0.0038, 0.456, 0.0031000000000000003, 0.45690000000000003, 0.0008, 0.4232, 0.0031000000000000003, 0.4292, 0.6015, 0.0098, 0.0016, -0.0151, 0.0009000000000000001, 0.4394, 0.00030000000000000003, 0.4562, 0.0014, 0.4528... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 3 | 7 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0044) q[0];
rz(0.1825) q[0];
rx(0.0038) q[1];
rz(0.4489) q[1];
rx(0.0038) q[2];
rz(0.456) q[2];
rx(0.0031) q[3];
rz(0.4569) q[3];
rx(0.0008) q[4];
rz(0.4232) q[4];
rx(0.0031) q[5];
rz(0.4292) q[5];
rx(0.6015) q[6];
rz(0.0098) q[6];
crz(0.0088) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [11, 14], "expectation_value": -0.23444278199169596, "params": [[0.0781], [-0.0714]], "bitstrings": ["110100", "110001"], "total_optimization_steps": 10, "probabilities": [0.017397541964137613, 0.017397541964137616], "optimization_time": 1.116903305053711} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0781) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0781) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0781) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0781) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0781... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
13d2fdfa7c21e9b2e01994ccc485d623 | 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": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"source": 2, "target": 8}, {"sour... | {"states": [296, 360], "expectation_value": -2.6659619364457083, "params": [[[0.9062, 0.0029000000000000002], [0.6742, -0.1004], [0.8516, 0.0029000000000000002], [0.8580000000000001, 0.0031000000000000003], [-0.0035, -0.4617], [0.8918, -0.0015], [0.7164, -0.0557], [0.0017000000000000001, -0.43510000000000004], [0.7075,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(7) + -0.5 * Z(2) + -1.0 * Z(8) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-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": 11, "first_excited_energy": -3.5, "smallest_bitstrings": ["011010110", "001111010", "010110011", "011010101", "001011110", "011110010", "011110001", "000011111", "100001111", "010010111", "0001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9062) q[0];
rz(0.0029) q[0];
rx(0.6742) q[1];
rz(-0.1004) q[1];
rx(0.8516) q[2];
rz(0.0029) q[2];
rx(0.858) q[3];
rz(0.0031) q[3];
rx(-0.0035) q[4];
rz(-0.4617) q[4];
rx(0.8918) q[5];
rz(-0.0015) q[5];
rx(0.7164) q[6];
rz(-0.0557) q[6];
rx(0.0017) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6cffe11a862f6465de426e477843dd3a | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 19], "expectation_value": -3.98906553094111, "params": null, "bitstrings": ["1001101", "1101100"], "total_optimization_steps": 31, "probabilities": [0.06023620223413998, 0.8645374077202787], "optimization_time": 24.999516010284424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001101", "1000111", "0110110", "1100110", "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];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(1.4449) q[2];
cry(-1.0343) q[5], q[3];
cry(-1.0342) q[6], q[1];
ry(0.7003) q[6];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[5];
ry(-0.4549) q[1];
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(-1.5708) 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", ... |
-3023800187148767574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [0, 3], [4, 5, 6], [1, 2, 3, 4, 7], [6, 7], [5, 7], [0, 1, 2]]} | {"states": [230, 118], "expectation_value": -2.4928972121166297, "params": null, "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 54, "probabilities": [0.05372407255202609, 0.8387456316482811], "optimization_time": 75.92095136642456} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "smallest_bitstrings": ["10001001"]} | 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(1.3804) q[1];
cry(-1.0258) q[3], q[0];
ry(0.7931) q[3];
cry(-1.006) q[6], q[7];
ry(1.0575) q[6];
cry(-0.8397) q[5], q[7];
ry(1.1263) q[5];
ry(-0.4119) q[7];
cry(-0.6606) q[1], q[0];
cry(0.5763)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3804) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
55e47338bba624266c8b8b1563bf0dbf | 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": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -84.1748164418651, "params": [0.7187, -0.31270000000000003, 0.7169, 0.0018000000000000002, 1.3016, -0.059500000000000004, 1.3050000000000002, 0.0001, 1.3064, -0.0969, 1.2995, 0.0005, 1.3046, -0.0726, 1.2996, 0.0045000000000000005, 0.6920000000000001, -0.3179, 0.6916, 0.0053, ... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7187) q[0];
rz(-0.3127) q[0];
rx(1.3016) q[1];
rz(-0.0595) q[1];
rx(1.3064) q[2];
rz(-0.0969) q[2];
rx(1.3046) q[3];
rz(-0.0726) q[3];
rx(0.692) q[4];
rz(-0.3179) q[4];
rx(1.2922) q[5];
rz(-0.0672) q[5];
rx(0.6778) q[6];
rz(-0.3122) q[6];
rx(1.3049) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
8d8fa5ee6a82ad17d0d6120aef30e861 | 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": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -3.4956972072511676, "params": [[-0.06330000000000001, -0.059800000000000006, -0.0623, -0.049100000000000005], [0.0664, 0.0645, 0.0663, 0.061500000000000006]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.031041493750526197, 0.0368422... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0633) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.1266) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.095) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(0.0317) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.1366695517003288, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.061000000000000006], [0.0235, 0.0246, 0.030600000000000002, 0.053700000000000005]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.13387417432001725, 0.1511735883747800... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0103) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0206) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0103) q[2];
cx q[0], q[2];
rz(0.0514) q[1];
rz(0.0257) q[0];
rz(0.0514) q[2];
h q[0];
rz(0.047) q[0];
h q[0];
h q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.