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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7e79a6c0865add43857b5756cd421c60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "ta... | {"states": [47, 46], "expectation_value": -4.323894148654698, "params": [0.1158, 0.0013000000000000002, 0.1154, -0.0021000000000000003, 0.0819, 0.0048000000000000004, 0.1448, 0.0021000000000000003, 0.40190000000000003, 0.0025, 0.4042, 0.0025, 0.3975, -0.0021000000000000003, 0.40180000000000005, -0.0005, 0.4001, -0.0008... | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["11011000", "11100001", "11010001", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1158) q[0];
rz(0.0013) q[0];
rx(0.0819) q[1];
rz(0.0048) q[1];
rx(0.4019) q[2];
rz(0.0025) q[2];
rx(0.3975) q[3];
rz(-0.0021) q[3];
rx(0.4001) q[4];
rz(-0.0008) q[4];
rx(0.4022) q[5];
rz(-0.0023) q[5];
rx(0.4062) q[6];
rz(0.0013) q[6];
rx(0.4011) 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": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 18.820464611053467} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | 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[5];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[4];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[1];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -14.073440113427013, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 25, "probabilities": [0.16348483599197114, 0.8147018804492054], "optimization_time": 34.77807402610779} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.5708) q[8], q[0];
ry(1.1165) q[8];
ry(-0.4736) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.5615) q[6];
ry(-1.5708) q[7];
ry(-1.5707) q[2];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.5708) q[8], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.10460462324137841, "params": [[-0.0403, -0.028200000000000003, -0.08020000000000001], [0.0553, 0.020800000000000003, 0.0673]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.07614599280342814, 0.07614599280342814], "optimization_time": 2.32... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0403) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0403) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0403) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.0403) q[3];
cx q[2], q[3];
rz(0) q[1];
rz(0) q[0];
rz(0) 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -0.7278883979099953, "params": [[0.07], [-0.0757]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010723035638324212, 0.011891684886293571], "optimization_time": 1.836379051208496} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.105) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.035) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.105) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.175) q[5];
cx q[0], q[5];
cx q[0], 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2070221959557949909 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [3, 5], [0, 1, 2], [2, 4]]} | {"states": [25, 28], "expectation_value": -1.7363818678347078, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 32, "probabilities": [0.05721951426537516, 0.8591683970145148], "optimization_time": 24.575976848602295} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666663 * Z(1) + 0.0 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["010110", "100011", "001001"]} | 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[3], q[5];
ry(1.3116) q[1];
cry(-0.5034) q[1], q[5];
ry(1.1431) q[3];
ry(-0.4328) q[5];
cry(-1.0342) q[2], q[4];
ry(0.7112) q[2];
ry(-0.4643) q[4];
cry(0.4908) q[1], q[2];
cry(-0.3719) q[1], q[4];
c... | 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[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
9c17189069c29dbfeba70f5c04497777 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1927, 1799], "expectation_value": -14.66844025528889, "params": null, "bitstrings": ["00001111000", "00011111000"], "total_optimization_steps": 100, "probabilities": [0.21177326094302615, 0.23189656069005538], "optimization_time": 281.61540389060974} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[6], q[7];
ry(-1.5708) q[3];
ry(-1.5577) q[4];
ry(-0.7853) q[7];
ry(-0.8568) q[6];
cry(-1.0211) q[10], q[7];
cry(-0.4972) q[10], q[6];
ry(-1.5701) q[5];
cry... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
d50e0db5f45433c1a809eaa1f116bf10 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [233, 232], "expectation_value": -3.728755696461362, "params": [[[-0.017400000000000002, -0.3126], [0.5857, -0.0025], [0.5459, 0.0114], [0.6016, -0.003], [-0.0173, -0.31010000000000004], [0.5952000000000001, 0.0032], [0.4768, -0.069], [-0.0011, 0.2833], [0.5086, 0.048400000000000006]], [[-0.0218, 0.3129], [0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + ... | 1 | 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": ["101010110", "100010111", "111010010", "000111101", "110010011", "100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0174) q[0];
rz(-0.3126) q[0];
rx(0.5857) q[1];
rz(-0.0025) q[1];
rx(0.5459) q[2];
rz(0.0114) q[2];
rx(0.6016) q[3];
rz(-0.003) q[3];
rx(-0.0173) q[4];
rz(-0.3101) q[4];
rx(0.5952) q[5];
rz(0.0032) q[5];
rx(0.4768) q[6];
rz(-0.069) q[6];
rx(-0.0011) 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": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 102.99661064147949} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[3];
cry(1.5708) q[3], q[8];
cry(1.4449) q[3], q[7];
cry(-1.568) q[3], q[0];
cry(-1.4464) q[6], q[5];
ry(1.4449) q[4];
cry(0.825) q[7], q[6];
cry(-0.5495) q[8], q[5];
ry(0.508)... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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] = m... |
199774378666556344 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 3], [1, 5], [3, 5], [3, 4], [4, 5], [0, 4]]} | {"states": [36, 37], "expectation_value": -0.005791841839720008, "params": [[[1.6014000000000002, 0.0034000000000000002], [1.5124, 0.0017000000000000001], [1.4933, 0.008700000000000001], [1.6264, 0.0061], [1.5348000000000002, 0.0078000000000000005], [1.5949, 0.0005]]], "bitstrings": ["011011", "011010"], "total_optimiz... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6014) q[0];
rz(0.0034) q[0];
rx(1.5124) q[1];
rz(0.0017) q[1];
rx(1.4933) q[2];
rz(0.0087) q[2];
rx(1.6264) q[3];
rz(0.0061) q[3];
rx(1.5348) q[4];
rz(0.0078) q[4];
rx(1.5949) q[5];
rz(0.0005) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
58c03faa30d0c8774100cfa24f25fe60 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [511, 499], "expectation_value": -1.3462750560956083, "params": [[0.0745], [-0.0674]], "bitstrings": ["000000000", "000001100"], "total_optimization_steps": 10, "probabilities": [0.0032066577563902806, 0.0032066577563902823], "optimization_time": 0.6549911499023438} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000", "000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3725) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0745) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.298) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.149) q[4];
cx q[1], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} |
-9083996112783762460 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [2, 5, 6], [8, 3], [1, 5], [1, 2], [2, 4], [0, 4], [1, 3, 6], [0, 5, 6], [0, 6, 7], [8, 4], [4, 6]]} | {"states": [455, 335], "expectation_value": -3.987528724584033, "params": null, "bitstrings": ["000111000", "010110000"], "total_optimization_steps": 61, "probabilities": [0.1413004890943094, 0.8347941623055488], "optimization_time": 125.25803971290588} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5298) q[6];
cry(-1.4447) q[6], q[4];
ry(1.4417) q[0];
cry(1.4415) q[6], q[8];
cry(-1.443) q[8], q[3];
ry(1.4416) q[2];
cry(-1.3588) q[5], q[1];
cry(1.2213) q[8], q[7];
ry(-0.1262) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
8c9a3ef3e95b2fc72b0128ec209c5f76 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [783, 779], "expectation_value": -63.99089238949843, "params": [0.2109, 0.0076, 2.305, 0.0019, 2.3009, 0.006200000000000001, 1.0287, 0.0019, 0.0728, 0.006500000000000001, 1.2322, 0.0037, -0.0026000000000000003, 0.0012000000000000001, 2.2964, 0.0023, 1.4847000000000001, 0.0025, 2.3029, 0.009300000000000001, 2... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(9)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(5)) + 1.0 * Z(3) + 17.5 * Z(2) + 17.5 * Z(1) + -3.0 * Z(4) + 13.0 * Z(7) + 2.5 * Z(5) + 4.5 * Z(8) + -1.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["10011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2109) q[0];
rz(0.0076) q[0];
rx(2.305) q[1];
rz(0.0019) q[1];
rx(2.3009) q[2];
rz(0.0062) q[2];
rx(1.0287) q[3];
rz(0.0019) q[3];
rx(0.0728) q[4];
rz(0.0065) q[4];
rx(1.2322) q[5];
rz(0.0037) q[5];
rx(-0.0026) q[6];
rz(0.0012) q[6];
rx(2.2964) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
8b31acb00860fd38d33d25290c3ee609 | 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": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -27.037839111046644, "params": [0.0038, -0.2896, 0.0027, 0.0034000000000000002, 0.0024000000000000002, -0.5212, 0.0024000000000000002, 0.0024000000000000002, 0.8074, 0.1288, 0.8018000000000001, 0.0076, -0.0023, -0.5723, -0.0023, 0.0071, 0.0026000000000000003, -0.595100000000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(7)) + -1.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -1.5 * (Z(9) @... | 5 | 11 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0038) q[0];
rz(-0.2896) q[0];
rx(0.0024) q[1];
rz(-0.5212) q[1];
rx(0.8074) q[2];
rz(0.1288) q[2];
rx(-0.0023) q[3];
rz(-0.5723) q[3];
rx(0.0026) q[4];
rz(-0.5951) q[4];
rx(0.0025) q[5];
rz(-0.5815) q[5];
rx(0.0025) q[6];
rz(-0.338) q[6];
rx(0.0025) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [36, 27], "expectation_value": -0.49998649079316027, "params": [[-0.0023, 0.0025, 0.2647, 0.2651, -0.0025, -0.0023], [0.9074000000000001, 0.0001, -1.1055000000000001, 0.006500000000000001, 0.008400000000000001, -0.9224], [-0.8919, 0.0055000000000000005, 0.2646, 0.0037, 0.0015, 0.9164]], "bitstrings": ["01101... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 9 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0023) q[0];
rx(0.0025) q[1];
rx(0.2647) q[2];
rx(0.2651) q[3];
rx(-0.0025) q[4];
rx(-0.0023) q[5];
h q[0];
h q[1];
h q[2];
h 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4b4397a678de86b6a6c2f25f89bcf5fb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -26.275133362608557, "params": [[[-0.0857, -0.5933], [0.0022, 0.0148], [0.0026000000000000003, 0.003], [0.0022, -0.0025], [0.0026000000000000003, 0.0023], [0.0026000000000000003, 0.0025], [0.002, -0.0027], [0.0024000000000000002, 0.0028], [0.0028, 0.0021000000000000003], [0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(9)) + -1.75 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(1... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0857) q[0];
ry(0.0022) q[1];
ry(0.0026) q[2];
ry(0.0022) q[3];
ry(0.0026) q[4];
ry(0.0026) q[5];
ry(0.002) q[6];
ry(0.0024) q[7];
ry(0.0028) q[8];
ry(0.0026) q[9];
ry(-1.1293) q[10];
ry(-0.0122) 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": []} |
0850e29522f021e32579dc334d85e860 | 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": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -24.701391442495737, "params": [0.0055000000000000005, 0.0047, -0.0193, 0.0166, 0.0049, 0.0013000000000000002, -1.6278000000000001, -1.0366, 0.0013000000000000002, 0.0024000000000000002, 0.0151, 0.0089, -0.005, 0.019100000000000002, -0.001, -0.0015, -0.6057, 0.605, 0.0007, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(6)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(6)) + -0.25 * (Z(9... | 13 | 12 | 2 | {"smallest_eigenvalues": [-25.5, -25.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -24.5, "smallest_bitstrings": ["111011110101", "111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0055) q[0];
ry(-0.0193) q[1];
ry(0.0049) q[2];
ry(-1.6278) q[3];
ry(0.0013) q[4];
ry(0.0151) q[5];
ry(-0.005) q[6];
ry(-0.001) q[7];
ry(-0.6057) q[8];
ry(0.0007) q[9];
ry(0.0049) q[10];
ry(-0.0113) q[11];
crz(2.0564) q[11], q[0];
crz(2.7468) q[10], q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
1e9e9fd16803043bf14602f8d69de988 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.6327969882254336, "params": [[0.0757], [-0.0816]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015011665654888085, 0.0015196181371567859], "optimization_time": 2.7215888500213623} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.0379) q[0];
cx q[3], q[0];
cx q[3], q[9];
rz(-0.0757) q[9];
cx q[3], q[9];
cx q[0], q[9];
rz(0.0757) q[9];
cx q[0], q[9];
cx q[3], q[7];
rz(-0.0379) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
f62281c68165f3e4d14cdd3e07ccca91 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [80, 43], "expectation_value": -0.7603537889196519, "params": [[-0.0609, -0.042100000000000005, 0.019200000000000002], [0.0745, 0.06770000000000001, 0.026500000000000003]], "bitstrings": ["0101111", "1010100"], "total_optimization_steps": 10, "probabilities": [0.011249631855966715, 0.012445186898311816], "op... | 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(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010100"]} | 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(-0.0609) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0609) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0609) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0609) q[4];
cx q[0], q[4];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [62, 31], "expectation_value": -1.6379420066844999, "params": [[0.0013000000000000002, -0.031400000000000004, -0.0475, -0.0608], [-0.0455, -0.0041, 0.043000000000000003, 0.053200000000000004]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.02450618852324248, 0.025821... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0026) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0078) q[1];
cx q[2], q[1];
cx q[0], q[5];
rz(0.0033) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0.0039) q[5];
cx q[1], q[5];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 1], "expectation_value": -8.733464610027747, "params": [[[0.2144, -0.3593], [0.0025, 0.5407000000000001], [-0.0031000000000000003, 0.5149], [0.8279000000000001, 0.0024000000000000002]], [[0.2189, 0.0034000000000000002], [0.0025, 0.0037], [-0.003, 0.0014], [0.8318000000000001, 0.0047]]], "bitstrings": ["1... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.2144) q[0];
rz(-0.3593) q[0];
rx(0.0025) q[1];
rz(0.5407) q[1];
rx(-0.0031) q[2];
rz(0.5149) q[2];
rx(0.8279) q[3];
rz(0.0024) q[3];
rx(0.2189) q[0];
rz(0.0034) q[0];
rx(0.0025) q[1];
rz(0.0037) q[1];
rx(-0.003) q[2];
rz(0.0014) q[2];
rx(0.8318) q[3];
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] 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... | {"k": 3} | {"circuits": [], "gradients": []} |
b72451fd8beb69606a84f4be9a392c11 | 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": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.24985956669714, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 25.16980004310608} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"]} | 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[6];
cry(-1.5708) q[7], q[0];
ry(1.092) q[7];
ry(-0.5035) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.553) q[2];
cry(-0.1745) q[0], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-8429544682563830600 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 3], [2, 6]]} | {"states": [114, 116], "expectation_value": -0.020963428289830013, "params": [[0.0656], [-0.06470000000000001]], "bitstrings": ["0001101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.00814488097427978, 0.00814488097427978], "optimization_time": 0.46161937713623047} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(0.0219) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.0219) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0219) q[5];
cx q[1], q[5];
cx q[3], q[0];
rz(0.0656) q[0];
cx q[3], q[0];
cx q[6], 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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
69c9ce86bfac888cdfb5b3c0db4fe232 | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [995, 1023], "expectation_value": -0.8216474171355801, "params": [[-0.0517], [0.061500000000000006]], "bitstrings": ["0000011100", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0013419878202866804, 0.0013647498901726773], "optimization_time": 1.791438341140747} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"]} | 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(0.2068) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1034) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2068) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.2068) 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;
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[1], q[3];
rz(x1) q[3];
cx q[1]... | {"node": 6} | {"circuits": [], "gradients": []} |
-6567492544936906166 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 4, 7], [1, 2, 4], [8, 3, 4], [8, 5, 6, 7], [0, 1, 2, 6, 7, 8], [1, 5, 7], [0, 1, 4, 7], [3, 4, 6, 7], [1, 3], [8, 2, 5, 6], [0, 8, 4, 6], [2, 3, 7]]} | {"states": [151, 215], "expectation_value": -3.0663807896070328, "params": null, "bitstrings": ["101101000", "100101000"], "total_optimization_steps": 50, "probabilities": [0.11172100995325501, 0.7770569765879201], "optimization_time": 127.24731230735779} | 0.2 * (Z(8) @ Z(0)) + 0.25 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.2 * (Z(7) @ Z(0)) + 0.19999999999999998 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.116666666666668, "smallest_bitstrings": ["100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5651) q[7];
ry(1.4977) q[4];
cry(-1.0891) q[1], q[3];
ry(1.1402) q[8];
ry(0.6777) q[1];
cry(-0.5946) q[4], q[3];
cry(0.5952) q[7], q[1];
cry(-1.0962) q[8], q[0];
cry(-0.3078) q[7], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5651) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 41.62409067153931} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"]} | 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(-1.5708) q[5];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[4];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(0.7022) q[1];
ry(-0.4578) q[2];
ry(-0.4578) q[4];
cry(0.4586) q[6], q[1];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -17.99157796297611, "params": [[-0.0313, 0.0011], [0.0625, 0.0656]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005328037040298418, 0.006783238582877807], "optimization_time": 3.4683287143707275} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2817) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2817) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.2817) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.2817) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f6494d29a2885917ea72724ca31dc87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -12.69508642161409, "params": [[-0.14170000000000002, 0.2349, 0.1316], [0.273, -0.2412, -0.22990000000000002]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 30, "probabilities": [0.0721880554386668, 0.07399733116144962], "optimization_time": 30.19326734... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(0.2126) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.3543) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.1417) q[7];
cx q[0], q[7];
cx q[6], q[8];
rz(0.0709) q[8];
cx q[6], 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": 8} | {"circuits": [], "gradients": []} |
e72ecea678989eec924d7e1b79176beb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [1022, 511], "expectation_value": -19.130616067144192, "params": [[[0.9749000000000001, -1.095], [-0.0024000000000000002, 1.1592], [-0.0024000000000000002, -0.0024000000000000002], [-0.0021000000000000003, 0.002], [-0.0028, -0.0023], [-0.003, -0.0031000000000000003], [-0.003, -0.0032], [-0.0019, -0.002400000... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9... | 15 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9749) q[0];
ry(-0.0024) q[1];
ry(-0.0024) q[2];
ry(-0.0021) q[3];
ry(-0.0028) q[4];
ry(-0.003) q[5];
ry(-0.003) q[6];
ry(-0.0019) q[7];
ry(-3.1398) q[8];
ry(-0.0019) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 25.511452674865723} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[1];
cry(1.5681) q[4], q[2];
cry(1.2279) q[2], q[4];
cry(1.566) q[2], q[3];
cry(1.5697) q[3], q[5];
ry(-1.5266) q[0];
cry(-0.0676) q[1], q[3];
cry(0.071) q[4], q[3];
cry(-0.0817) q[5], q[3];
ry(0.0264... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 32.08690333366394} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "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];
ry(1.5708) q[6];
ry(-1.2796) q[0];
ry(-1.5708) q[3];
ry(-1.3483) q[4];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(0.9179) q[6], q[0];
cry(-1.2089) q[5], q[0];
ry(-1.7676) q[5];
cry(1.2259) q[6], q[4];
cry(-0... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
9ab53f7aa1b34f991ec1ef091b962aaf | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -15.133717754944668, "params": [[[0.002, 1.6091], [0.0024000000000000002, 0.002], [0.0023, 0.0018000000000000002], [0.002, 0.0026000000000000003], [0.002, 0.002], [0.0025, 0.0031000000000000003], [0.0028, -0.0029000000000000002], [0.0021000000000000003, 0.0025], [-0.0022, 0.001... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.002) q[0];
ry(0.0024) q[1];
ry(0.0023) q[2];
ry(0.002) q[3];
ry(0.002) q[4];
ry(0.0025) q[5];
ry(0.0028) q[6];
ry(0.0021) q[7];
ry(-0.0022) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx 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[9] c;
qubit[9] ... | {"node": 0} | {"circuits": [], "gradients": []} |
52dd575f6b3baf37cbe77a1b25d4d01f | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -18.883026670637626, "params": [0.0129, 0.0761, 0.0004, 0.12660000000000002, -0.0036000000000000003, 0.2351, 0.00030000000000000003, 0.23470000000000002, 0.3053, -0.0014, 0.3063, -0.0013000000000000002, -0.008700000000000001, 0.11850000000000001, -0.0015, 0.1607, 0.0059, 0.2247... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(0)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.75 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0129) q[0];
rz(0.0761) q[0];
rx(-0.0036) q[1];
rz(0.2351) q[1];
rx(0.3053) q[2];
rz(-0.0014) q[2];
rx(-0.0087) q[3];
rz(0.1185) q[3];
rx(0.0059) q[4];
rz(0.2247) q[4];
rx(0.0029) q[5];
rz(0.192) q[5];
rx(-0.0052) q[6];
rz(0.1784) q[6];
rx(0.0092) 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": 10} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}]} | {"states": [27997, 23283], "expectation_value": -2.106987704569195, "params": [[0.1514], [-0.1406]], "bitstrings": ["001001010100010", "010010100001100"], "total_optimization_steps": 20, "probabilities": [8.629524217390184e-05, 8.629524217390188e-05], "optimization_time": 45.08593988418579} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999982, "smallest_bitstrings": ["010010100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.1514) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1514) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1514) q[2];
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;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
37dd861ffe467d8187ee76bb8660b740 | 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": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [2047, 1023], "expectation_value": -45.77577291544803, "params": [[[1.6416000000000002, 0.0028], [0.0023, 0.0077], [-0.0026000000000000003, 0.0], [0.0023, 0.0067], [-0.0025, 0.0002], [-0.0024000000000000002, 0.009300000000000001], [-0.0025, 0.007], [-0.0026000000000000003, 0.0054], [-0.0023, 0.006], [-0.0026... | 0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(5)) + 1.5 * (Z(1) @ Z(6)) + -3.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(7)) + -3.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(1)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(5)) + -3.5... | 2 | 11 | 1 | {"smallest_eigenvalues": [-47.5, -47.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -46.5, "smallest_bitstrings": ["10000000000", "10011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6416) q[0];
rz(0.0028) q[0];
rx(0.0023) q[1];
rz(0.0077) q[1];
rx(-0.0026) q[2];
rz(0) q[2];
rx(0.0023) q[3];
rz(0.0067) q[3];
rx(-0.0025) q[4];
rz(0.0002) q[4];
rx(-0.0024) q[5];
rz(0.0093) q[5];
rx(-0.0025) q[6];
rz(0.007) q[6];
rx(-0.0026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 1} | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 13.690715551376343} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "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];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[5];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[5], q[4];
cry(-0.1259) q[2], q[1];
cry(0.1248) q[5], q[0];
cry(0.12... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3116498700184054015 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6, 7], [1, 5], [0, 2, 3, 5, 6], [0, 1, 2, 3], [2, 3, 4, 6], [3, 4, 5, 7], [5, 6, 7], [0, 1, 4, 6, 7]]} | {"states": [219, 211], "expectation_value": -2.027887872792932, "params": null, "bitstrings": ["00100100", "00101100"], "total_optimization_steps": 47, "probabilities": [0.26394795540217064, 0.6608968497024365], "optimization_time": 68.48728966712952} | 0.3 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.3 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666667, "smallest_bitstrings": ["00101100"]} | 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(1.5125) q[6];
ry(1.3149) q[3];
cry(-0.9664) q[1], q[5];
ry(0.8555) q[1];
cry(-0.5723) q[6], q[5];
cry(0.4744) q[6], q[1];
cry(0.9267) q[1], q[7];
cry(-0.4294) q[7], q[5];
cry(-0.612) q[3], q[2]... | 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(1.5125) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
b54f63c9aa420998f3aab2c366a7745d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1148, 1132], "expectation_value": -108.87405202513979, "params": [1.3261, 0.0047, 2.5095, 0.0024000000000000002, 1.0944, 0.008700000000000001, 0.0028, 0.0046, 0.8753000000000001, 0.0043, 2.5051, 0.004200000000000001, 2.5003, 0.007, 1.4724000000000002, 0.0017000000000000001, 2.5058000000000002, 0.0077, 2.499... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(9)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(9)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 17.5 * Z(1) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-154.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -134.0, "smallest_bitstrings": ["101110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3261) q[0];
rz(0.0047) q[0];
rx(2.5095) q[1];
rz(0.0024) q[1];
rx(1.0944) q[2];
rz(0.0087) q[2];
rx(0.0028) q[3];
rz(0.0046) q[3];
rx(0.8753) q[4];
rz(0.0043) q[4];
rx(2.5051) q[5];
rz(0.0042) q[5];
rx(2.5003) q[6];
rz(0.007) q[6];
rx(1.4724) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [19, 26], "expectation_value": -4.489065531693061, "params": null, "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 33, "probabilities": [0.06023648174640777, 0.864537407937387], "optimization_time": 36.996063470840454} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[1];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[6];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[3];
ry(0.7003) q[5];
ry(-0.4549) q[6];
cry(0.4963) q[2], q[3];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 19.47857975959778} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[4];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
cry(-0.0016) q[7], q[0];
c[0] = measure q[0];
c[1] = ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [65, 6], "expectation_value": -2.011903149200229, "params": [[0.0594, 0.0651, 0.0626], [-0.056600000000000004, -0.06380000000000001, -0.0635]], "bitstrings": ["0111110", "1111001"], "total_optimization_steps": 10, "probabilities": [0.014592766403071219, 0.01459276640307125], "optimization_time": 5.7381985187... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"]} | 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(0.0594) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0594) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0594) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0594) q[4];
cx q[2], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.5881276829737938, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 5.7230751514434814} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[2], q[0];
cry(1.3762) q[2], q[1];
ry(0.6284) q[2];
cry(-0.6942) q[1], q[3];
cry(-0.6942) q[1], q[0];
cry(0.4129) q[1], q[2];
ry(0.2721) q[1];
cry(0.4028) q[3], q[0];
cry(0.4478) q[0], q[3]... | null | {"start_node": 0, "end_node": 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];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 10.481258630752563} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]} | 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[3];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[1];
cry(0.2489) q[2], q[4];
cry(-0.1488) q[2], q[1];
cry(0.118)... | 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]... |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 46.79630637168884} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5158) q[5];
ry(1.0337) q[6];
cry(-1.2414) q[4], q[2];
ry(1.2903) q[1];
ry(1.0323) q[3];
cry(-1.0058) q[3], q[0];
cry(0.5004) q[1], q[6];
ry(0.6414) q[4];
ry(-0.4922) q[0];
cry(0.4291) q[6], q[3];
cr... | 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(-1.5158) 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", ... |
2658bf5f7163af35b242065cf609fa3e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [255, 4095], "expectation_value": -16.17029892803295, "params": null, "bitstrings": ["111100000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05898627295680151, 0.4218818658145525], "optimization_time": 269.04649114608765} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (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)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[1], q[3];
cry(1.5708) q[3], q[0];
cry(1.1303) q[0], q[1];
cry(-0.1763) q[0], q[3];
ry(-0.3708) q[3];
cry(0.9852) q[2], q[3];
cry(1.5706) q[10], q[... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[1], 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... |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [10, 7], "expectation_value": -1.878244413214229, "params": null, "bitstrings": ["0101", "1000"], "total_optimization_steps": 18, "probabilities": [0.20653887476852636, 0.7080427202478625], "optimization_time": 7.22055196762085} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.4449) q[2];
cry(1.4433) q[3], q[1];
cry(1.1747) q[1], q[3];
cry(-1.3057) q[3], q[0];
cry(0.3528) q[2], q[0];
cry(-0.5327) q[1], q[0];
ry(0.3913) q[0];
cry(0.1184) q[1], q[2];
ry(0.0992) q[1];
cry(0.0432) q[2], q[3];
cry(-0.... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
6ea38bd0c3373db421f169d031da01a1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 1016], "expectation_value": -16.923449835970146, "params": [[[0.0024000000000000002, 0.001], [1.5571000000000002, 0.009300000000000001], [0.0022, 0.0079], [0.0027, 0.0059], [0.0021000000000000003, 0.0049], [-0.003, 0.0088], [1.5826, 0.009600000000000001], [0.3221, 0.0095], [1.5627, 0.008], [-0.0022, 0.00... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 2 | 10 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000001", "0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0024) q[0];
rz(0.001) q[0];
rx(1.5571) q[1];
rz(0.0093) q[1];
rx(0.0022) q[2];
rz(0.0079) q[2];
rx(0.0027) q[3];
rz(0.0059) q[3];
rx(0.0021) q[4];
rz(0.0049) q[4];
rx(-0.003) q[5];
rz(0.0088) q[5];
rx(1.5826) q[6];
rz(0.0096) q[6];
rx(0.3221) 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": 8} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 5.503632068634033} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.5158) q[3], q[0];
ry(1.048) q[3];
ry(1.4882) q[2];
ry(-0.3463) q[0];
cry(0.3109) q[2], q[3];
cry(-0.2854) q[2], q[0];
cry(0.139) q[1], q[3];
cry(0.0779) q[1], q[2];
cry(-0.0843) q[1], q[0];
cry(-0.0393) q[0], q[3];
c[0] =... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.5158) q[3], 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... |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 69], "expectation_value": -2.5395296457759713, "params": [[0.0752, 0.0714, 0.0756, 0.07490000000000001], [-0.0828, -0.0732, -0.0748, -0.0726]], "bitstrings": ["0011101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.023749415090991058, 0.023980068332435964], "optimization_time": 15.324... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"]} | 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(0.0752) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0752) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0752) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0752) q[1];
cx q[2], q[1];
cx q[3], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eae8cd3fdd6c48bfe81a3803c36d609c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [115, 371], "expectation_value": -19.00903339644863, "params": [[[-0.0553, -0.5657, 0.0045000000000000005, 0.0061], [-0.4043, 1.0077, 0.0441, 0.7375], [0.0024000000000000002, 1.5834000000000001, -0.002, 0.0367], [-0.0023, 0.30920000000000003, -0.004200000000000001, 0.43360000000000004], [-0.0027, 1.5586, -0.... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 11 | 10 | 4 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0553) q[0];
rz(-0.5657) q[0];
ry(-0.4043) q[1];
rz(1.0077) q[1];
ry(0.0024) q[2];
rz(1.5834) q[2];
ry(-0.0023) q[3];
rz(0.3092) q[3];
ry(-0.0027) q[4];
rz(1.5586) q[4];
ry(-0.0027) q[5];
rz(-0.6178) q[5];
ry(-0.0029) q[6];
rz(1.525) q[6];
ry(0.0021) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
cdc1c85d9788b04850582a1ad6d1cbab | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [510, 511], "expectation_value": -26.18959946743834, "params": [[[-0.0018000000000000002, 0.002], [-0.004200000000000001, -0.0026000000000000003], [-0.8948, 0.7618], [-0.0032, 2.3059000000000003], [-0.0029000000000000002, -0.0018000000000000002], [0.0026000000000000003, -0.0028], [-0.0023, 0.0025], [-0.0023,... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * Z(1) + -1.5 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0018) q[0];
ry(-0.0042) q[1];
ry(-0.8948) q[2];
ry(-0.0032) q[3];
ry(-0.0029) q[4];
ry(0.0026) q[5];
ry(-0.0023) q[6];
ry(-0.0023) q[7];
ry(-0.0027) q[8];
ry(-0.0025) q[9];
ry(-1.6149) q[10];
ry(0.0022) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
e05275d14653e116f32640e6b82829a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -72.78927984598187, "params": [1.473, 0.0094, 3.1398, 0.006, 3.1391, 0.005, 3.14, 0.007, 3.1387, 0.0027, -0.0023, 0.0086, 3.1387, 0.009600000000000001, 0.7069000000000001, 0.0021000000000000003, 0.5644, 0.0022, 0.0057, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.473) q[0];
rz(0.0094) q[0];
rx(3.1398) q[1];
rz(0.006) q[1];
rx(3.1391) q[2];
rz(0.005) q[2];
rx(3.14) q[3];
rz(0.007) q[3];
rx(3.1387) q[4];
rz(0.0027) q[4];
rx(-0.0023) q[5];
rz(0.0086) q[5];
rx(3.1387) q[6];
rz(0.0096) q[6];
rx(0.7069) q[7];
rz(0.0021)... | OPENQASM 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\": 8}"} | {"circuits": [], "gradients": []} |
6620187651886527837 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3], [0, 2], [3, 4], [2, 5], [2, 6]]} | {"states": [150, 206], "expectation_value": -2.6239583668275728, "params": null, "bitstrings": ["01101001", "00110001"], "total_optimization_steps": 60, "probabilities": [0.049047702568643554, 0.6981360481358856], "optimization_time": 60.23121118545532} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101001", "10010110", "00110001", "11001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[4], q[3];
cry(-1.0342) q[0], q[7];
ry(1.0293) q[0];
ry(-0.6992) q[7];
cry(-0.6534) q[5], q[2];
ry(0.9979) q[6];
cry(1.1473) q[6], q[5];
ry(-0.5076) q[2];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
9166bed2e29ff69e5428606133a6b7da | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [504, 509], "expectation_value": -1.7236628847675353, "params": [[0.0684], [-0.057600000000000005]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.003120515569995101, 0.0031663257435423503], "optimization_time": 3.493776559829712} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.342) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4104) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.342) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.4104) q[5];
cx q[1], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} |
-5060418911380501211 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [0, 3, 5, 6], [4, 6], [0, 1], [0, 2]]} | {"states": [130, 134], "expectation_value": -2.003605343799498, "params": null, "bitstrings": ["01111101", "01111001"], "total_optimization_steps": 60, "probabilities": [0.21225853014964063, 0.26266167020414827], "optimization_time": 87.25515460968018} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["01101101", "01100010", "01111001", "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];
cry(-1.0342) q[6], q[7];
ry(0.9138) q[6];
cry(-1.367) q[6], q[4];
ry(-0.6219) q[7];
cry(-1.0342) q[0], q[2];
ry(0.8239) q[0];
cry(-1.351) q[0], q[1];
cry(0.3677) q[0], q[6];
ry(-0.5558) q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
efa54e0099ac2e11d0fabc58238fc0ce | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [86, 214], "expectation_value": -4.101416003899167, "params": [0.7976000000000001, 0.1631, 0.8033, 0.0073, 0.8035, 0.1593, 0.8084, 0.0024000000000000002, -0.0108, 0.4183, -0.010100000000000001, 0.0058000000000000005, 0.8101, 0.16040000000000001, 0.8118000000000001, 0.0099, -0.0158, 0.4153, -0.009300000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(7) + 0.0 * Z(1) + -0.5 * Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7976) q[0];
rz(0.1631) q[0];
rx(0.8035) q[1];
rz(0.1593) q[1];
rx(-0.0108) q[2];
rz(0.4183) q[2];
rx(0.8101) q[3];
rz(0.1604) q[3];
rx(-0.0158) q[4];
rz(0.4153) q[4];
rx(0.8038) q[5];
rz(0.1681) q[5];
rx(0.8025) q[6];
rz(0.16) q[6];
rx(-0.0155) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
864217746318b4c99985494cf9e87642 | 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": [694, 690], "expectation_value": -74.5178113649998, "params": [0.058800000000000005, 0.5047, 1.0978, 0.2717, 0.0955, 0.5714, 1.1069, 0.21150000000000002, -0.0015, 0.7033, 1.1043, -0.0164, 1.1019, -0.09870000000000001, 0.7342000000000001, -0.1582, 0.7473000000000001, 0.3274, 1.1009, 0.0876, -0.002600000000000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + -3.0 * Z(2) + 17.5 * Z(1) + 6.5 * Z(3) + -3.5 * Z(0) + -6.0 * Z(4) + 25.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["10101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0588) q[0];
rz(0.5047) q[0];
rx(1.0978) q[1];
rz(0.2717) q[1];
rx(0.0955) q[2];
rz(0.5714) q[2];
rx(1.1069) q[3];
rz(0.2115) q[3];
rx(-0.0015) q[4];
rz(0.7033) q[4];
rx(1.1043) q[5];
rz(-0.0164) q[5];
rx(1.1019) q[6];
rz(-0.0987) q[6];
rx(0.7342) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
0609beb0244f504071355435b704f83a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -40.51078379667686, "params": [[-0.022500000000000003, -0.006900000000000001, 0.0131], [0.0488, 0.0653, 0.0728]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.006830058441804307, 0.008178073083507318], "optimization_time": 9.24... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2025) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.2025) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(-0.2025) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.2025) q[4];
cx q[1], 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
41e5048a5606e4239201a6d155f49a6b | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -17.753711698758, "params": [[[-0.008400000000000001, -0.0022], [0.005, 0.0018000000000000002], [0.0456, 0.0026000000000000003], [-0.0027, 0.0028], [0.0067, -0.0026000000000000003], [0.0033, -0.0029000000000000002], [0.0099, 0.0029000000000000002], [0.0014, 0.00290000000000... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(8)) + 2.0 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0084) q[0];
ry(0.005) q[1];
ry(0.0456) q[2];
ry(-0.0027) q[3];
ry(0.0067) q[4];
ry(0.0033) q[5];
ry(0.0099) q[6];
ry(0.0014) q[7];
ry(0.0085) q[8];
ry(-1.51) q[9];
ry(0.0146) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
e9c462a1bd32b66e47c042d7665c8b8c | 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": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [19, 73], "expectation_value": -0.21499804713844678, "params": [[-0.0645], [0.07300000000000001]], "bitstrings": ["1101100", "0110110"], "total_optimization_steps": 10, "probabilities": [0.008944407843271562, 0.008954043187772268], "optimization_time": 1.4396555423736572} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + -1.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1001101", "0110110"]} | 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(-0.0645) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0645) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0645) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.0645) q[6];
cx q[1], q[6];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
-2549676127264746355 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [0, 2, 5], [3, 5], [1, 5, 6], [0, 6], [2, 4], [5, 7], [1, 2, 6], [2, 7], [0, 1, 4]]} | {"states": [91, 228], "expectation_value": -0.0748559533124817, "params": [[0.06860000000000001], [-0.0637]], "bitstrings": ["10100100", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004290133686665221, 0.004338773631519783], "optimization_time": 2.579444646835327} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["00011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0229) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(0.0229) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.0229) q[7];
cx q[0], q[7];
cx q[0], q[2];
rz(0.0229) q[2];
cx q[0], q[2];
cx q[7],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(x0) q[7];
cx... | null | {"circuits": [], "gradients": []} |
527397673642175228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 3], [0, 2, 3]]} | {"states": [9, 3], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1100"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.42290338308964454], "optimization_time": 7.2354278564453125} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[3], q[1];
ry(0.971) q[3];
ry(-0.6611) q[1];
cry(0.2827) q[2], q[3];
cry(-0.3385) q[2], q[0];
cry(0.2209) q[0], q[3];
cry(-0.1959) q[2], q[1];
ry(0.2778) q[2];
cry(-0.2892) q[0], q[2];
cry(-0.1162) q[0], q[1];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
1d160cc3abadcab873ad861acb76445a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [34, 35], "expectation_value": -5.5600994264324, "params": [0.001, 0.45830000000000004, 0.7967000000000001, 0.5135000000000001, 0.8016000000000001, 0.5197, -0.014, 0.4849, 0.1729, 0.4471, -0.0137, 0.46950000000000003, 0.8077000000000001, 0.2157, 0.8032, 0.002, 0.0011, 0.0089, 0.8015, 0.0007, 0.7939, 0.0046, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10111100", "11011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.001) q[0];
rz(0.4583) q[0];
rx(0.7967) q[1];
rz(0.5135) q[1];
rx(0.8016) q[2];
rz(0.5197) q[2];
rx(-0.014) q[3];
rz(0.4849) q[3];
rx(0.1729) q[4];
rz(0.4471) q[4];
rx(-0.0137) q[5];
rz(0.4695) q[5];
rx(0.8077) q[6];
rz(0.2157) q[6];
rx(0.8032) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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": -23.60885378225351, "params": [[[0.4192, 0.003], [0.2569, 0.004], [0.25880000000000003, 0.0058000000000000005], [1.4304000000000001, 0.006900000000000001], [0.42160000000000003, 0.005], [1.6091, 0.0064], [1.6015000000000001, 0.0061]]], "bitstrings": ["1111101", "1111100"], "total... | 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... | 1 | 7 | 1 | {"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(0.4192) q[0];
rz(0.003) q[0];
rx(0.2569) q[1];
rz(0.004) q[1];
rx(0.2588) q[2];
rz(0.0058) q[2];
rx(1.4304) q[3];
rz(0.0069) q[3];
rx(0.4216) q[4];
rz(0.005) q[4];
rx(1.6091) q[5];
rz(0.0064) q[5];
rx(1.6015) q[6];
rz(0.0061) q[6];
c[0] = measure q[0];
c[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} |
7fc1aaca9b2555712646afcde4133c5a | matching | qaoa | {"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}], "edges": [{"... | {"states": [186, 185], "expectation_value": -18.982519372292987, "params": [[-0.0379, -0.027200000000000002, 0.0137], [0.0685, 0.0771, 0.0613]], "bitstrings": ["101000101", "101000110"], "total_optimization_steps": 10, "probabilities": [0.012151455953435468, 0.014892298009548454], "optimization_time": 5.452420711517334... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(0) + 7.5 * Z(1) + 0.5 * Z(2) + 5.5 * Z(3) + 15.0 * Z(4) + 11.0 * Z(5) + 8.5 * Z(6) + 1.5 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["101000110"]} | 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[0], q[1];
rz(-0.379) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(-0.379) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.379) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.379) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
a5b265eb79377fd9fffe3e6f56065994 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.21888924480081925, "params": [[0.25830000000000003], [-0.254]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.530758440832694e-05, 3.5307584408326954e-05], "optimization_time": 19.58591389656067} | 0.25 * (Z(0) @ Z(1)) + -0.0006875000000000002 * (Z(2) @ Z(0)) + -0.0006875000000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0005000000000000001 * (Z(4) @ Z(2)) + -0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0005000000000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.021374999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0213749999999577, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1292) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0004) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0004) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.742355112587056, "params": [[-0.053500000000000006, -0.0795], [0.0522, 0.0693]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.031365541488637474, 0.03581602812157539], "optimization_time": 2.1577701568603516} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1605) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.107) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1605) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.107) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.0535) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 42], "expectation_value": -0.8162898713270601, "params": [0.6068, 0.09770000000000001, 0.3244, 0.1854, 0.6038, 0.038700000000000005, 0.3403, 0.22, 0.5993, 0.1991, 0.16190000000000002, 0.3257, 0.6066, 0.11170000000000001, 0.3282, 0.1655, 0.6063000000000001, 0.09860000000000001, 0.3362, 0.2448000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.6068) q[0];
rz(0.0977) q[0];
rx(0.3244) q[1];
rz(0.1854) q[1];
rx(0.6038) q[2];
rz(0.0387) q[2];
rx(0.3403) q[3];
rz(0.22) q[3];
rx(0.5993) q[4];
rz(0.1991) q[4];
rx(0.1619) q[5];
rz(0.3257) q[5];
crz(-0.3133) q[5], q[0];
crz(0.3725) q[4], q[5];
crz(0.248... | OPENQASM 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": []} |
670daa6e034726b8ea64bfcf7b90eb4c | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [0, 2032], "expectation_value": -19.12721722543753, "params": [[[0.0027, 0.0098], [0.0021000000000000003, 0.0033], [0.0022, 0.0006000000000000001], [0.002, 0.0048000000000000004], [0.0026000000000000003, 0.0024000000000000002], [0.0022, 0.0037], [1.6072000000000002, 0.0034000000000000002], [-0.0014, 0.001300... | -2.5 * (Z(0) @ Z(6)) + -2.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(10)) + -2.5 * (Z(8) @ Z(10)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(10)) + -2... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(0.0098) q[0];
rx(0.0021) q[1];
rz(0.0033) q[1];
rx(0.0022) q[2];
rz(0.0006) q[2];
rx(0.002) q[3];
rz(0.0048) q[3];
rx(0.0026) q[4];
rz(0.0024) q[4];
rx(0.0022) q[5];
rz(0.0037) q[5];
rx(1.6072) q[6];
rz(0.0034) q[6];
rx(-0.0014) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 9} | {"circuits": [], "gradients": []} |
d2c254e7ed9f5458dc87323e5cdd8c39 | 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": [783, 779], "expectation_value": -113.35575884327388, "params": [0.24730000000000002, 0.23340000000000002, 0.6943, 0.0018000000000000002, 0.6985, 0.0016, 0.0, 0.4692, 0.096, -0.2919, -0.0006000000000000001, -0.4112, 0.0038, 0.47190000000000004, 0.7012, 0.1423, 0.3936, 0.2637, 0.6769000000000001, 0.2252, 0.69... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 13.5 * Z(2) + 25.0 * Z(1) + 3.0 * Z(0) + 0.5 * Z(4) ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["10011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2473) q[0];
rz(0.2334) q[0];
rx(0.6943) q[1];
rz(0.0018) q[1];
rx(0.6985) q[2];
rz(0.0016) q[2];
rx(0) q[3];
rz(0.4692) q[3];
rx(0.096) q[4];
rz(-0.2919) q[4];
rx(-0.0006) q[5];
rz(-0.4112) q[5];
rx(0.0038) q[6];
rz(0.4719) q[6];
rx(0.7012) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9113918706603586927 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 1, 2, 3, 6], [4, 5]]} | {"states": [99, 107], "expectation_value": -0.971780688733525, "params": null, "bitstrings": ["0011100", "0010100"], "total_optimization_steps": 44, "probabilities": [0.2639141580860792, 0.5062715917382126], "optimization_time": 55.8534734249115} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332],... | 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(1.0792) q[0];
cry(-1.0342) q[5], q[4];
ry(0.7384) q[5];
ry(-0.4873) q[4];
cry(0.4749) q[0], q[5];
cry(-0.3528) q[0], q[4];
cry(-0.4131) q[5], q[2];
cry(0.2647) q[5], q[0];
cry(-0.3415) q[0], q[2];
ry(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(1.0792) 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", "... |
fae06182b4dd84aac963af755062d831 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target":... | {"states": [487, 511], "expectation_value": -11.86040298672, "params": null, "bitstrings": ["000011000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.11831463061668938, 0.5009529283361607], "optimization_time": 200.17073345184326} | -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)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["000000000"]} | 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(1.5708) q[5], q[7];
cry(1.5708) q[7], q[6];
cry(1.5708) q[6], q[8];
cry(1.5706) q[1], q[2];
ry(1.056) q[1];
cry(1.5707) q[1], q[0];
cry(1.5706) q[5], q[4];
cry(0.811) q[4], q[5];
cry(1... | 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(1.5708) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
2fc4cdd822562fe181c001ffdae1abb5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -15.79034659636989, "params": [[[0.0021000000000000003, 0.8021], [0.0031000000000000003, 0.0019], [0.0022, 0.0021000000000000003], [0.0026000000000000003, -0.0029000000000000002], [0.0027, 0.002], [-0.0025, 0.0022], [0.0025, 0.0025], [0.0023, 0.0023], [0.0035, 0.0025], [0.0023... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0021) q[0];
ry(0.0031) q[1];
ry(0.0022) q[2];
ry(0.0026) q[3];
ry(0.0027) q[4];
ry(-0.0025) q[5];
ry(0.0025) q[6];
ry(0.0023) q[7];
ry(0.0035) q[8];
ry(0.0023) q[9];
ry(0.005) q[10];
ry(0.0028) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 171.56388092041016} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 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)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[4];
ry(22.4081) q[1];
ry(63.2613) q[2];
ry(10.617) q[7];
ry(63.0833) q[6];
cry(62.605) q[4], q[2];
cry(23.8282) q[6], q[2];
cry(-11.7947) q[4], q[1];
ry(-0.0629) q[0];
ry(0.3559) q[5]... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(8.8595) 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[... |
3c7c554f2cda91a0c2b104575077a3fc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3},... | {"states": [126, 127], "expectation_value": -29.782386883947495, "params": [[[-0.002, 0.0019], [0.0022, -0.0019], [0.0023, -0.0017000000000000001], [-0.0025, -0.0023], [-0.0028, 3.0479000000000003], [-0.0036000000000000003, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -2... | 15 | 11 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.002) q[0];
ry(0.0022) q[1];
ry(0.0023) q[2];
ry(-0.0025) q[3];
ry(-0.0028) q[4];
ry(-0.0036) q[5];
ry(-0.0033) q[6];
ry(-0.0033) q[7];
ry(-0.0027) q[8];
ry(1.6558) q[9];
ry(0.0026) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 3} | {"circuits": [], "gradients": []} |
766ad5c893fdabef4db5a6d615ba911f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [78, 75], "expectation_value": -4.49914484956448, "params": null, "bitstrings": ["0110001", "0110100"], "total_optimization_steps": 34, "probabilities": [0.06552939467991685, 0.9338659442773967], "optimization_time": 27.56080651283264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -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": ["0110100", "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];
ry(-1.5708) q[2];
ry(-1.5681) q[1];
ry(1.4449) q[0];
ry(1.4449) q[3];
ry(1.4449) q[5];
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(0.24... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e05275d14653e116f32640e6b82829a5 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target... | {"states": [43349, 43605], "expectation_value": -2.019624624873799, "params": [1.1859, 0.9983000000000001, 0.4293, 0.4631, 0.5299, 0.5331, 0.0023, -0.0181, 0.5301, 0.5242, -0.016900000000000002, 0.033600000000000005, 0.9373, 0.8048000000000001, 0.5019, 0.5045000000000001, -0.0017000000000000001, -0.0049, 0.5214, 0.5266... | 0.25 * (Z(0) @ Z(1)) + -0.0010802469135802468 * (Z(2) @ Z(0)) + -0.0010802469135802468 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0216049382715577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021604938271551, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.1859) q[0];
ry(0.4293) q[1];
ry(0.5299) q[2];
ry(0.0023) q[3];
ry(0.5301) q[4];
ry(-0.0169) q[5];
ry(0.9373) q[6];
ry(0.5019) q[7];
ry(-0.0017) q[8];
ry(0.5214) q[9];
ry(0.0152) q[10];
ry(0.5258) q[11];
ry(0.0071) q[12];
ry(0.5354) q[13];
ry(0.0107) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -2.7648600014917717, "params": null, "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 43, "probabilities": [0.08152110833948295, 0.6219423513065092], "optimization_time": 43.41139459609985} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
cry(-1.3016) q[6], q[1];
ry(1.0342) q[4];
cry(-1.2415) q[0], q[3];
ry(1.0022) q[2];
cry(0.4926) q[2], q[4];
cry(-0.5161) q[6], q[3];
cry(0.8441) q[6], q[0];
cry(-0.425) q[0], q[1];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
e8fdec38f32f10530d269f6547919d57 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [118, 171], "expectation_value": -0.5801618039666586, "params": [[-0.0751, -0.0767, -0.06770000000000001, -0.0688], [0.07690000000000001, 0.0804, 0.0753, 0.07490000000000001]], "bitstrings": ["10001001", "01010100"], "total_optimization_steps": 10, "probabilities": [0.010136331382428644, 0.010136331382428646... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"]} | 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(-0.0376) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0376) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0376) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0376) q[0];
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[... | null | {"circuits": [], "gradients": []} |
9489ce4d26b81338a996936b33ca51e5 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [254, 255], "expectation_value": -16.208853347324773, "params": null, "bitstrings": ["1100000001", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.07306725790024154, 0.35271431174698414], "optimization_time": 288.48654556274414} | -1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[8], q[9];
cry(1.57) q[8], q[2];
cry(0.8468) q[9], q[4];
cry(0.5417) q[9], q[8];
cry(1.5708) q[4], q[3];
cry(1.3466) q[3], q[6];
ry(-0.8868) q[4];
cry(0.9152) q[3], ... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
-7720153918483126428 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 1, 2, 4, 5, 7], [0, 1, 2, 4, 5, 6], [1, 3, 4, 5, 7], [0, 2, 3, 5], [0, 4, 6, 7], [2, 4, 5, 6, 7]]} | {"states": [199, 249], "expectation_value": -0.8281333035877628, "params": [[-0.37470000000000003], [0.3672]], "bitstrings": ["00111000", "00000110"], "total_optimization_steps": 40, "probabilities": [0.009997037736994532, 0.01010302661122282], "optimization_time": 3.9703564643859863} | 0.5 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(3)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.15 * (Z(2) @ Z(0)) + 0.06666666666666667 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.766666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333338, "smallest_bitstrings": ["00000110"]} | 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[6], q[3];
rz(-0.3747) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(-0.0874) q[0];
cx q[6], q[0];
cx q[3], q[0];
rz(-0.0625) q[0];
cx q[3], q[0];
cx q[6], q[1];
rz(-0.025) q[1];
cx q[6], q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [38, 9], "expectation_value": -0.3705698737777435, "params": [[0.0792], [-0.0824]], "bitstrings": ["011001", "110110"], "total_optimization_steps": 10, "probabilities": [0.017655611270057044, 0.01817160704377622], "optimization_time": 1.249600887298584} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 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": ["110110", "011101", "011110", "001111", "011011"]} | 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(0.0792) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0792) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0792) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0792) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0792... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.749941752698343, "params": [[0.053700000000000005, 0.045000000000000005, 0.0308, 0.0391], [-0.052000000000000005, -0.0468, -0.0379, -0.0379]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.02316618348676308, 0.024381558653803436], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0537) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0537) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0537) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0537) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0537... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
c115cf772412a3efc6e8057443fcfc91 | 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": [934, 678], "expectation_value": -110.1197447888497, "params": [0.22160000000000002, 0.044700000000000004, 0.8508, 0.2127, 1.0939, 0.2934, 1.0791, 0.0371, 0.39430000000000004, 0.028800000000000003, 1.0697, 0.0002, 0.0032, -0.5169, 0.2619, -0.4903, 1.0946, 0.46080000000000004, 0.9077000000000001, -0.1177, -0.... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + -6.0 * Z(0) + 15.5 * Z(1) + 5.0 * Z(2) + -6.5 * Z(4) + 8.0 * Z(3) + -5.5 * Z(6) + 2.0 * Z(5) + 8.5 *... | 4 | 11 | 3 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2216) q[0];
rz(0.0447) q[0];
rx(0.8508) q[1];
rz(0.2127) q[1];
rx(1.0939) q[2];
rz(0.2934) q[2];
rx(1.0791) q[3];
rz(0.0371) q[3];
rx(0.3943) q[4];
rz(0.0288) q[4];
rx(1.0697) q[5];
rz(0.0002) q[5];
rx(0.0032) q[6];
rz(-0.5169) q[6];
rx(0.2619) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
3e01ea3076c5ef19a6bf30280e22d651 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [4095, 4087], "expectation_value": -0.09251891432591053, "params": [[0.014], [-0.022500000000000003]], "bitstrings": ["000000000000", "000000001000"], "total_optimization_steps": 10, "probabilities": [0.0002537548191862107, 0.0002540736580026349], "optimization_time": 2.624199867248535} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(9) @ Z(11)) + -1.5 * (Z(10) @ Z(11)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[3], q[0];
rz(-0.056) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.056) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.014) q[1];
cx q[0], q[1];
cx q[3], q[2];
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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0... | {"node": 8} | {"circuits": [], "gradients": []} |
7d24aa80c4b1d40dd561c6b6bccbf7db | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.020750799517128424, "params": [[-0.0716], [0.0736]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6586876522540676e-05, 1.6586876522540683e-05], "optimization_time": 15.131342649459839} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0003826530612244898 * (Z(4) @ Z(0)) + -0.0015306122448979593 * (Z(4) @ Z(2)) + 0.0003826530612244898 * (Z(5) @ Z(1)) + -0.0015306122448979593 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.001403... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0216836734693517], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216836734693335, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0358) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 108.9995059967041} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(5.3058) q[2];
ry(-0.037) q[3];
ry(-1.2832) q[0];
ry(-0.4488) q[1];
ry(-1.4683) q[4];
cry(-1.122) q[6], q[1];
cry(-1.5338) q[5], q[3];
ry(1.2547) q[6];
cry(-0.5436) q[6], q[2];
ry(0.6999) q[5];
cry(-0.4... | null | {"k": 5} | {"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(5.3058) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
fbcecd05a1850dfc85aa20c299edabcb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 5}, {"weight":... | {"states": [970, 458], "expectation_value": -63.735744901409404, "params": [1.0052, 0.059800000000000006, 1.0047000000000001, 0.0019, 1.0038, 0.0613, 0.9678, 0.006200000000000001, 1.0002, 0.0658, 1.0032, 0.009000000000000001, 0.9976, 0.057, 0.9956, 0.0051, 0.8473, 0.0704, -0.5105000000000001, 0.0048000000000000004, 0.9... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.5 * Z(1) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1000110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0052) q[0];
rz(0.0598) q[0];
rx(1.0038) q[1];
rz(0.0613) q[1];
rx(1.0002) q[2];
rz(0.0658) q[2];
rx(0.9976) q[3];
rz(0.057) q[3];
rx(0.8473) q[4];
rz(0.0704) q[4];
rx(0.997) q[5];
rz(0.0394) q[5];
rx(1.0049) q[6];
rz(0.0738) q[6];
rx(0.9915) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
f77dd16494069058366da267be47f963 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [51, 58], "expectation_value": -0.22591458711816717, "params": [[0.0702], [-0.0711]], "bitstrings": ["1001100", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009008197401637786, 0.009146584066765207], "optimization_time": 1.4579014778137207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -2.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101", "1001100"]} | 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(0.0702) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0702) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0702) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0702) q[4];
cx q[0], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [6, 9], "expectation_value": -0.9801499187945472, "params": [[0.057300000000000004], [-0.048100000000000004]], "bitstrings": ["11001", "10110"], "total_optimization_steps": 10, "probabilities": [0.03537695538745073, 0.035376955387450754], "optimization_time": 1.493431568145752} | 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)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2006) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2006) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2006) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2292) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2006) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} |
e24c28a1225e0371d997320aeb87abff | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3, 116], "expectation_value": -0.918184489257991, "params": [[0.06670000000000001, 0.0555, -0.0212], [-0.0599, -0.058100000000000006, -0.026500000000000003]], "bitstrings": ["1111100", "0001011"], "total_optimization_steps": 10, "probabilities": [0.011366858604401916, 0.012599815738041807], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "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];
cx q[3], q[0];
rz(0.0667) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0667) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0667) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.0667) q[6];
cx q[3], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.119159466870332, "params": [0.3705, 0.4788, 0.004200000000000001, 0.6305000000000001, -0.0001, 0.621, 0.0037, 0.6973, -0.0022, -0.6636000000000001, 0.0017000000000000001, 0.7013, 0.006, 0.7201000000000001, 0.0025, 0.6978000000000001, 0.7843, 0.0129, 0.8283, 0.206500000000... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 4 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3705) q[0];
rz(0.4788) q[0];
rx(0.0042) q[1];
rz(0.6305) q[1];
rx(-0.0001) q[2];
rz(0.621) q[2];
rx(0.0037) q[3];
rz(0.6973) q[3];
rx(-0.0022) q[4];
rz(-0.6636) q[4];
rx(0.0017) q[5];
rz(0.7013) q[5];
rx(0.006) q[6];
rz(0.7201) q[6];
rx(0.0025) 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": 3} | {"circuits": [], "gradients": []} |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [367, 111], "expectation_value": -3.0823527662069847, "params": [0.0054, 0.1547, 0.8545, 0.5739000000000001, 0.1962, 0.649, 1.3937000000000002, 0.3196, 1.3922, 0.0029000000000000002, 0.0023, 0.9978, 1.01, -0.0397, 1.3946, -0.19890000000000002, 1.3941000000000001, -0.0021000000000000003, 1.4027, 0.00060000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1010100010", "1010110000", "1010010010", "1100011000", "1110010000", "1001011000", "1010010100", "1010011000", "11000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0054) q[0];
rz(0.1547) q[0];
rx(0.8545) q[1];
rz(0.5739) q[1];
rx(0.1962) q[2];
rz(0.649) q[2];
rx(1.3937) q[3];
rz(0.3196) q[3];
rx(1.3922) q[4];
rz(0.0029) q[4];
rx(0.0023) q[5];
rz(0.9978) q[5];
rx(1.01) q[6];
rz(-0.0397) q[6];
rx(1.3946) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -15.69809859319785, "params": [[0.0269, 0.0143, 0.015300000000000001, 0.0004], [-0.06620000000000001, -0.0658, -0.0728, -0.0539]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.011049074922008151, 0.01247918388248107], "optimization_... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 7 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1479) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1479) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1479) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1479) 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] 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": []} |
4414867571136143966 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [91, 93], "expectation_value": -1.9739430912012899, "params": null, "bitstrings": ["10100100", "10100010"], "total_optimization_steps": 38, "probabilities": [0.024353259681734785, 0.9531918254579163], "optimization_time": 40.94807004928589} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5298) q[3];
ry(1.2295) q[1];
cry(-0.741) q[1], q[2];
cry(0.2542) q[3], q[1];
cry(-0.4653) q[3], q[2];
ry(0.7152) q[4];
ry(0.7158) q[7];
ry(-0.3316) q[2];
cry(-0.6436) q[5], q[6];
cry(0.5646) ... | 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(1.5298) 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[... |
3aa10d162eda3c9ca8f6ec83f6012eb4 | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [173, 109], "expectation_value": -5.567917992618752, "params": [[0.0082, 0.0374], [-0.015300000000000001, -0.038]], "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00591127298897366, 0.006253042032921083], "optimization_time": 2.6513473987579346} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 2.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(2) + 14.0 * Z(5) + 7.5 * Z(3) + 18.5 * Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "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[0], q[1];
rz(0.082) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.082) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(0.082) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.082) q[3];
cx q[2], q[3];
cx q[5], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
a6b55510d801a5adbb40af21b637103f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": ... | {"states": [31, 255], "expectation_value": -11.079712400109667, "params": null, "bitstrings": ["1111100000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.06164998678552947, 0.5892026278932536], "optimization_time": 225.34001851081848} | 0.5 * (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(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[7], q[8];
ry(1.0383) q[7];
cry(1.5708) q[8], q[5];
cry(0.2441) q[5], q[8];
cry(1.5706) q[7], q[9];
cry(1.5704) q[8], q[6];
cry(1.5681) q[4], q[3];
ry(1.0829) q[4];
... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -4.142108360843188, "params": [[-0.0724, -0.0776], [0.06910000000000001, 0.0729]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011046135623686077, 0.011260846632083056], "optimization_time": 3.7415049076080322} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0724) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1086) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2172) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.1448) q[5];
cx q[1], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
6498689033705023154 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 5, 8, 9, 10], [9, 7], [1, 2, 4, 6, 9, 10], [0, 2, 3, 7, 11], [0, 5, 6, 7, 10, 11], [0, 3, 5, 6, 7, 11], [2, 3, 5, 6, 7, 11], [0, 1, 3, 5, 6, 8, 9, 11], [2, 3, 5, 9, 11], [0, 1, 3, 5, 10, 11], [0, 2, 3, 5, 11], [0, 3, 4, 7, 10, 11], [0, 2, 4, 7, 10]... | {"states": [4089, 4088], "expectation_value": -2.846236423940316, "params": [1.1761000000000001, -0.0164, 1.175, 0.0099, 1.181, -0.002, 1.1855, -0.0047, 1.1778, 0.0037, 1.1782000000000001, 0.007500000000000001, 1.1831, -0.0008, 1.1817, -0.0019, 1.1846, -0.0026000000000000003, 1.187, 0.0073, 1.1844000000000001, -0.01560... | 0.16785714285714287 * (Z(0) @ Z(1)) + 0.08452380952380953 * (Z(5) @ Z(1)) + 0.2511904761904762 * (Z(5) @ Z(0)) + 0.08452380952380953 * (Z(8) @ Z(1)) + 0.1523809523809524 * (Z(8) @ Z(0)) + 0.06904761904761905 * (Z(8) @ Z(5)) + 0.08452380952380953 * (Z(9) @ Z(1)) + 0.11904761904761905 * (Z(9) @ Z(0)) + 0.2023809523809523... | 8 | 12 | 1 | {"smallest_eigenvalues": [-4.302380952380951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.266666666666667, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.1761) q[0];
rz(-0.0164) q[0];
rx(1.181) q[1];
rz(-0.002) q[1];
rx(1.1778) q[2];
rz(0.0037) q[2];
rx(1.1831) q[3];
rz(-0.0008) q[3];
rx(1.1846) q[4];
rz(-0.0026) q[4];
rx(1.1844) q[5];
rz(-0.0156) q[5];
rx(1.1874) q[6];
rz(-0.0216) q[6];
rx(0.8277) 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": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.730669338024664, "params": [[-0.0453, -0.06570000000000001, -0.0811], [0.0449, 0.0631, 0.0728]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.049452099926640056, 0.05407805712162611], "optimization_time": 2.172506332397461} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0226) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0453) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0453) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1359) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0679) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
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