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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b03062475f1287ad31bf0aaec748b841 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 963], "expectation_value": -20.466512083548395, "params": [-0.4035, -0.17420000000000002, -0.2606, 1.8355000000000001, 0.7833, 1.0465, 0.1744, 1.8884, 0.8226, 1.4547, 0.034300000000000004, 1.6394, -0.7972, 1.4033, -0.10550000000000001, 1.5513000000000001, -0.0033, 1.5141, 0.005200000000000001, -0.2124, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 2 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.4035) q[0];
rz(-0.1742) q[0];
rx(0.7833) q[1];
rz(1.0465) q[1];
rx(0.8226) q[2];
rz(1.4547) q[2];
rx(-0.7972) q[3];
rz(1.4033) q[3];
rx(-0.0033) q[4];
rz(1.5141) q[4];
rx(0.0025) q[5];
rz(0.6267) q[5];
rx(-0.0006) q[6];
rz(2.3217) q[6];
rx(-0.003) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
8b93e6a5a58e4b68e1b37a0c1b053a09 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [188, 172], "expectation_value": -22.580808358699972, "params": [[[0.47150000000000003, 0.0053], [1.8978000000000002, 0.0059], [0.24960000000000002, 0.008700000000000001], [1.8976000000000002, 0.0067], [1.4868000000000001, 0.001], [1.9040000000000001, 0.009600000000000001], [1.8999000000000001, 0.0028], [0.8... | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["101010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4715) q[0];
rz(0.0053) q[0];
rx(1.8978) q[1];
rz(0.0059) q[1];
rx(0.2496) q[2];
rz(0.0087) q[2];
rx(1.8976) q[3];
rz(0.0067) q[3];
rx(1.4868) q[4];
rz(0.001) q[4];
rx(1.904) q[5];
rz(0.0096) q[5];
rx(1.8999) q[6];
rz(0.0028) q[6];
rx(0.8748) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] 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, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
48366684690379727964cafb75212259 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"sour... | {"states": [322, 354], "expectation_value": -6.9438131036211646, "params": [[[0.0022, -0.2617, 0.0038, 0.0049], [-2.6294, -0.2616, 0.0021000000000000003, 0.0063], [1.5734000000000001, -0.0022, 1.5733000000000001, 0.0064], [-1.0388, -1.1896, -1.038, 0.0041], [0.0025, 1.5964, -0.0025, 0.008], [-0.0026000000000000003, 0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 11 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["010011101", "010011110", "010111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0022) q[0];
rz(-0.2617) q[0];
ry(-2.6294) q[1];
rz(-0.2616) q[1];
ry(1.5734) q[2];
rz(-0.0022) q[2];
ry(-1.0388) q[3];
rz(-1.1896) q[3];
ry(0.0025) q[4];
rz(1.5964) q[4];
ry(-0.0026) q[5];
rz(0.2865) q[5];
ry(0.0025) q[6];
rz(-1.7347) q[6];
ry(-0.0018) 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": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 89.63757014274597} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
6966027394882854856 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 4], [2, 3, 4], [0, 2, 3]]} | {"states": [7, 21], "expectation_value": -0.960124613743651, "params": null, "bitstrings": ["11000", "01010"], "total_optimization_steps": 20, "probabilities": [0.02259875836662623, 0.9354440137987287], "optimization_time": 12.596508979797363} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["01010", "01100"]} | 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(1.2292) q[2];
ry(0.7963) q[4];
cry(-0.6274) q[0], q[3];
cry(0.504) q[2], q[4];
cry(-0.4908) q[2], q[3];
ry(0.5858) q[0];
cry(-0.4014) q[4], q[3];
cry(-0.5781) q[0], q[1];
cry(0.506) q[4], q[0];
cry(-0.476) q[4], q[1];... | 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(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
c4fd4922d2c165ab37a0955c733d543f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [19, 51], "expectation_value": -2.854912401124033, "params": [[[0.0028, 0.0002], [1.6477000000000002, 0.0066], [1.8041, 0.006200000000000001], [-0.0134, 0.0014], [1.4912, 0.0057], [1.8089000000000002, 0.0057], [1.8099, 0.006500000000000001]]], "bitstrings": ["1101100", "1001100"], "total_optimization_steps":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) + 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": ["1101000", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0028) q[0];
rz(0.0002) q[0];
rx(1.6477) q[1];
rz(0.0066) q[1];
rx(1.8041) q[2];
rz(0.0062) q[2];
rx(-0.0134) q[3];
rz(0.0014) q[3];
rx(1.4912) q[4];
rz(0.0057) q[4];
rx(1.8089) q[5];
rz(0.0057) q[5];
rx(1.8099) q[6];
rz(0.0065) q[6];
c[0] = measure 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 2.154014825820923} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-0.1259) q[1], q[2];
cry(0.1217) q[1], q[0];
cry(0.1214) q[0], q[1];
cry(-0.0005) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.020363018943849787, "params": [[-0.020300000000000002], [0.0219]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00399318582595618, 0.004000259978339206], "optimization_time": 2.4917213916778564} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0102) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0406) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0102) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(0.0406) q[6];
cx q[1], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"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": [8, 7], "expectation_value": -0.19422411068853346, "params": [[-0.0763, -0.046700000000000005], [0.0823, 0.07]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.07263454954194659, 0.07721757945745504], "optimization_time": 1.5004267692565918} | -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 | 2 | {"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];
cx q[2], q[0];
rz(0.0763) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0763) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0763) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1145) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(0.0763) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2]... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
1666324550800120180 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 11, 6], [1, 3, 5, 9, 11], [1, 2, 3, 5, 6, 7, 10], [8, 0, 5], [0, 1, 7, 8, 9, 10], [0, 2, 4, 5, 7], [10, 11], [11, 9, 3, 7], [1, 3, 4, 5, 6, 7, 11], [0, 5, 6], [0, 1, 2, 4, 5, 9, 10], [0, 1, 3, 4, 5], [8, 4, 5], [0, 3, 4, 5, 9], [9, 5, 6, 7], [8, 2,... | {"states": [3695, 2671], "expectation_value": -4.61475275401734, "params": [1.5866, 1.5584, 3.0901, 1.7992000000000001, 1.5752000000000002, 1.5718, -0.0028, -0.0028, -0.0023, -0.0023, 1.5822, 1.5649000000000002, 1.5664, 1.5704, -0.0025, -0.0026000000000000003, 1.5810000000000002, 1.5658, 1.5712000000000002, 1.5745, 1.5... | 0.25 * (Z(10) @ Z(5)) + 0.24047619047619048 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(10)) + 0.18095238095238092 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.19047619047619047 * (Z(8) @ Z(3)) + 0.14761904761904762 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(1) @ Z(10)) + 0.07380952380952381 * (Z(1)... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.645238095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.571428571428572, "smallest_bitstrings": ["010110010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5866) q[0];
ry(3.0901) q[1];
ry(1.5752) q[2];
ry(-0.0028) q[3];
ry(-0.0023) q[4];
ry(1.5822) q[5];
ry(1.5664) q[6];
ry(-0.0025) q[7];
ry(1.581) q[8];
ry(1.5712) q[9];
ry(1.5715) q[10];
ry(1.5822) q[11];
crz(0.0019) q[11], q[0];
crz(-0.0019) 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[... | null | {"circuits": [], "gradients": []} |
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [63, 31], "expectation_value": -0.5995405997350338, "params": [[-0.022000000000000002, -0.006200000000000001, -0.0528, -0.063], [0.0285, -0.027, 0.034300000000000004, 0.0584]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.021282048567144763, 0.02292247681934141], "o... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "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[1], q[0];
rz(0.022) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.055) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.011) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.033) q[4];
cx q[3], q[4];
cx q[3], q[2];
rz(0.033) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
aa593368bb5365cab30d0ff25322eaa9 | 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": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [65, 1], "expectation_value": -0.4758467804507967, "params": [[-0.0682], [0.0738]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0025615278127072245, 0.0026332433568877498], "optimization_time": 1.8170866966247559} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "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[3], q[0];
rz(0.1023) q[0];
cx q[3], q[0];
cx q[0], q[8];
rz(-0.1364) q[8];
cx q[0], q[8];
cx q[3], q[1];
rz(0.1364) q[1];
cx q[3], q[1];
cx q[1], q[6];
rz(0.1023) q[6];
cx q[1], q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f82f40377b76a8640da93298d26960f8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -8.984361814172507, "params": [-0.003, 0.0002, -0.0025, -0.0008, -0.0004, -0.004, 0.3018, 0.3022, -0.0056, -0.007, 0.0001, -0.0046, -0.0012000000000000001, -0.0004, 0.0008, -0.0057, -0.0014, -0.0024000000000000002, -0.0011, -0.0026000000000000003, 0.0001, -0.006900000000000001,... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["111011111111", "110010001100", "100010001100", "111010111101", "110010101100", "111010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.003) q[0];
ry(-0.0025) q[1];
ry(-0.0004) q[2];
ry(0.3018) q[3];
ry(-0.0056) q[4];
ry(0.0001) q[5];
ry(-0.0012) q[6];
ry(0.0008) q[7];
ry(-0.0014) q[8];
ry(-0.0011) q[9];
ry(0.0001) q[10];
ry(-0.0066) q[11];
crx(0.0426) q[11], q[0];
crx(0.1757) q[10], 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": 11} | {"circuits": [], "gradients": []} |
-2248723971481903880 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [204, 307], "expectation_value": -0.12251294342708365, "params": [[-0.0614], [0.0636]], "bitstrings": ["100110011", "011001100"], "total_optimization_steps": 10, "probabilities": [0.002269112930701412, 0.002269112930701412], "optimization_time": 2.850498676300049} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100110011", "011001100", "011011100", "100100011"]} | 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[8];
rz(-0.0614) q[8];
cx q[6], q[8];
cx q[8], q[7];
rz(-0.0614) q[7];
cx q[8], q[7];
cx q[8], q[1];
rz(-0.0614) q[1];
cx q[8], q[1];
cx q[6], q[3];
rz(-0.0614) q[3];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[8], q[7];
rz(x0) q[7];
cx q[8], q[7];
cx q[8], q[1];
rz(x0) q[1];
cx q[8], q[1];... | null | {"circuits": [], "gradients": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.10255093520689469, "params": [[0.0563], [-0.05]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03336429334485492, 0.03389633845976765], "optimization_time": 1.436140775680542} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0563) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1126) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0282) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0563) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1126) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[3];
rz(x1) q[3];
cx q[1], ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
91ee5f0f4255f3e469e33f428a617749 | 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": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [378, 234], "expectation_value": -33.57148182923349, "params": [[-0.0448, -0.006, 0.006200000000000001, 0.0044], [0.08080000000000001, 0.077, 0.07060000000000001, 0.07060000000000001]], "bitstrings": ["010000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.015222140176231917, 0.0180195... | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.4032) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4032) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4032) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.4032) q[3];
cx q[0], 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": []} |
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": [63, 31], "expectation_value": -0.8413078055198585, "params": [[0.030600000000000002, 0.0099, 0.0371], [-0.0562, -0.017, -0.0236]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.01963357768447652, 0.02013981173151557], "optimization_time": 21.27611804008484} | -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 | 3 | {"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(-0.0612) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1836) q[1];
cx q[2], q[1];
cx q[0], q[5];
rz(0.0765) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0.0918) 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": []} |
da1b1c85f8e653b867f6f4bdba638afa | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [10, 7], "expectation_value": -3.616000298677426, "params": [[-0.2253, -0.12860000000000002], [0.2341, 0.1897]], "bitstrings": ["1110101", "1111000"], "total_optimization_steps": 30, "probabilities": [0.038832375723358604, 0.040015848755092294], "optimization_time": 4.071967601776123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2253) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2253) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2253) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2253) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [0, 33], "expectation_value": -3.0440427418360705, "params": [0.2043, 0.2033, -0.0018000000000000002, 0.0028, 0.0678, 0.0639, 0.06810000000000001, 0.0675, 0.0043, -0.0039000000000000003, 0.20470000000000002, 0.19870000000000002, 0.19870000000000002, 0.1952, -0.0017000000000000001, 0.0005, 0.0716, 0.0626, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 14 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111001", "111010", "100111", "011110", "010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.2043) q[0];
ry(-0.0018) q[1];
ry(0.0678) q[2];
ry(0.0681) q[3];
ry(0.0043) q[4];
ry(0.2047) q[5];
crx(0.1908) q[5], q[0];
crx(-0.1022) q[4], q[5];
crx(-0.0392) q[3], q[4];
crx(0.1159) q[2], q[3];
crx(0.1763) q[1], q[2];
crx(0.0721) q[0], q[1];
ry(0.2033) ... | 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": []} |
c57af7e32d961e6547bc80ba0ce96978 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [222, 510], "expectation_value": -13.62729473150532, "params": null, "bitstrings": ["100100001", "000000001"], "total_optimization_steps": 100, "probabilities": [0.0808040124219113, 0.43425082679067095], "optimization_time": 142.51948928833008} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (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)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000001"]} | 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(1.5706) q[5], q[7];
cry(1.5708) q[7], q[4];
cry(1.2391) q[4], q[5];
cry(1.5708) q[7], q[6];
cry(-0.7997) q[6], q[7];
ry(-0.1352) q[7];
cry(0.1818) q[4], q[7];
cry(1.0331) q[8], q[7];
c... | 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(1.5706) 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... |
-1503175077088120641 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [3, 7], [0, 3, 6], [0, 1, 3], [1, 7], [4, 6], [1, 2, 5], [5, 7], [1, 4, 5], [1, 3, 5], [0, 5, 6], [2, 7]]} | {"states": [54, 118], "expectation_value": -0.15321614296645233, "params": [[-0.07300000000000001], [0.0777]], "bitstrings": ["11001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004433230562620245, 0.004500274449084991], "optimization_time": 0.827380895614624} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.073) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0487) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0487) q[5];
cx q[0], q[5];
cx q[3], q[7];
rz(-0.073) q[7];
cx q[3], q[7];
cx 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;
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[5]... | null | {"circuits": [], "gradients": []} |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [399, 511], "expectation_value": -13.13896580089306, "params": [-0.0023, 1.2215, 0.0022, 0.6097, 0.007200000000000001, 1.6188, 0.0014, 0.8722000000000001, 0.31820000000000004, -0.4168, 0.5668000000000001, 1.3075, -1.0753000000000001, 0.8393, 0.6273000000000001, 1.7687000000000002, -0.8764000000000001, 0.1358... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0023) q[0];
rz(1.2215) q[0];
rx(0.0072) q[1];
rz(1.6188) q[1];
rx(0.3182) q[2];
rz(-0.4168) q[2];
rx(-1.0753) q[3];
rz(0.8393) q[3];
rx(-0.8764) q[4];
rz(0.1358) q[4];
rx(-1.0057) q[5];
rz(0.7102) q[5];
rx(-0.9908) q[6];
rz(0.6658) q[6];
rx(0.9907) 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] x11;
input float[64] x12;
inp... | {"node": 2} | {"circuits": [], "gradients": []} |
-6646672814995565532 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [119, 55], "expectation_value": -1.6591792418218725, "params": [[[1.4813, 0.0068000000000000005], [2.7029, 0.009600000000000001], [2.7057, 0.01], [0.6657000000000001, 0.0005], [2.6976, 0.005], [2.6952000000000003, 0.0009000000000000001], [2.6983, 0.009300000000000001]]], "bitstrings": ["0001000", "1001000"],... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4813) q[0];
rz(0.0068) q[0];
rx(2.7029) q[1];
rz(0.0096) q[1];
rx(2.7057) q[2];
rz(0.01) q[2];
rx(0.6657) q[3];
rz(0.0005) q[3];
rx(2.6976) q[4];
rz(0.005) q[4];
rx(2.6952) q[5];
rz(0.0009) q[5];
rx(2.6983) q[6];
rz(0.0093) q[6];
c[0] = measure q[0];
c[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
0897b31d9a82279b7ba3c27721e1c7dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [922, 890], "expectation_value": -1.7348963021493562, "params": [[[0.0741, -0.4398, 0.007200000000000001, 0.0023], [0.1756, 0.22560000000000002, 0.6967, -0.023100000000000002], [0.252, -0.5152, 0.23370000000000002, 0.020200000000000003], [-0.22390000000000002, 0.2541, 0.6980000000000001, 0.0405], [0.69480000... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0741) q[0];
rz(-0.4398) q[0];
ry(0.1756) q[1];
rz(0.2256) q[1];
ry(0.252) q[2];
rz(-0.5152) q[2];
ry(-0.2239) q[3];
rz(0.2541) q[3];
ry(0.6948) q[4];
rz(-0.1653) q[4];
ry(0.2489) q[5];
rz(0.5267) q[5];
ry(0.6954) q[6];
rz(0.0615) q[6];
ry(0.4908) 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": []} |
839e49943c280a605024f1eaa388ffdd | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 8.93480372428894} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[5];
ry(-1.5708) q[0];
ry(-1.5706) q[2];
ry(-1.5681) q[3];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-0.1188) q[5], q[4];
cry(-0.0027) q[5], q[3];
cry(-0.0002) q[5], q[2];
c[0] = measure q[0];
c[1] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.435540848562713, "params": [-0.2088, 0.5702, 0.3804, 0.2904, -0.8540000000000001, 1.1979, 0.4656, 0.9476, -0.9177000000000001, 0.8582000000000001, 0.1233, 0.6934, 0.008700000000000001, 0.4923, 0.029400000000000003, 1.0295, -0.008, 0.4884, -0.0256, 0.8726, 0.0, 0.69600000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.2088) q[0];
rz(0.5702) q[0];
rx(-0.854) q[1];
rz(1.1979) q[1];
rx(-0.9177) q[2];
rz(0.8582) q[2];
rx(0.0087) q[3];
rz(0.4923) q[3];
rx(-0.008) q[4];
rz(0.4884) q[4];
rx(0) q[5];
rz(0.696) q[5];
rx(-0.9761) q[6];
rz(0.9676) q[6];
rx(-0.911) q[7];
rz(1.034... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 64.78920769691467} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.0463) q[6];
ry(-0.5109) q[0];
cry(1.5683) q[6], q[5];
ry(1.5688) q[4];
cry(0.2799) q[5], q[6];
cry(1.4916) q[3], q[1];
cry(1.0507) q[6], q[3];
cry(0.5192) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
7f4c1e2c9bad0a6e0605fae9471bc9cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3935, 2911], "expectation_value": -1.7450818505693113, "params": [0.0017000000000000001, -0.027100000000000003, 0.9087000000000001, 0.16790000000000002, 0.7118, 0.1559, 1.1093, 0.005, 1.1059, 0.054900000000000004, 0.7000000000000001, 0.17400000000000002, 1.1071, 0.1695, 0.6971, 0.2096, 1.0962, -0.1114, 0.88... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 18 | 13 | 2 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1100000001001", "1000010110000", "1010000100010", "1010000100001", "10000110... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0017) q[0];
rz(-0.0271) q[0];
rx(0.9087) q[1];
rz(0.1679) q[1];
rx(0.7118) q[2];
rz(0.1559) q[2];
rx(1.1093) q[3];
rz(0.005) q[3];
rx(1.1059) q[4];
rz(0.0549) q[4];
rx(0.7) q[5];
rz(0.174) q[5];
rx(1.1071) q[6];
rz(0.1695) q[6];
rx(0.6971) q[7];
rz(0.20... | 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": []} |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [437, 445], "expectation_value": -2.75716311118551, "params": [0.45790000000000003, 0.7178, 0.9824, 0.40650000000000003, 1.4946000000000002, -0.0105, 0.0023, 1.1017000000000001, 1.4919, -0.0044, 1.4994, 0.0661, 0.8231, 0.1821, 1.494, -0.3244, 0.2644, -0.642, 1.5050000000000001, 0.1716, 0.31120000000000003, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4579) q[0];
rz(0.7178) q[0];
rx(0.9824) q[1];
rz(0.4065) q[1];
rx(1.4946) q[2];
rz(-0.0105) q[2];
rx(0.0023) q[3];
rz(1.1017) q[3];
rx(1.4919) q[4];
rz(-0.0044) q[4];
rx(1.4994) q[5];
rz(0.0661) q[5];
rx(0.8231) q[6];
rz(0.1821) q[6];
rx(1.494) 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": []} |
5c94745dc5cfcb7bd7e70ecbf4c71545 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [767, 255], "expectation_value": -1.721375726525308, "params": [[-0.0747], [0.07540000000000001]], "bitstrings": ["110100000000", "111100000000"], "total_optimization_steps": 10, "probabilities": [0.0004741234681864238, 0.00047555163736809943], "optimization_time": 2.615004301071167} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(10) @ Z(9)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(-0.0747) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0747) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2988) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 0} | {"circuits": [], "gradients": []} |
98a6d7df4eb25fc957d9e8a10d4db738 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"sourc... | {"states": [0, 32704], "expectation_value": -62.13344944693854, "params": [[[0.0024000000000000002, 0.0019], [0.0025, 0.0019], [-0.0026000000000000003, 0.0051], [0.0026000000000000003, 0.0013000000000000002], [0.0022, 0.009000000000000001], [0.0022, 0.0043], [0.0022, 0.0073], [0.0022, 0.0027], [1.6066, 0.00780000000000... | -3.5 * (Z(0) @ Z(2)) + -4.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + 2.0 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(0)) + -4.5 * (Z(7) @ Z(4)) + 1.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(7)) + -4.0 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + 1.5 * (Z(8) @ Z(4)) + -4.0 * (Z(8) @ Z(7)) + -2.... | 2 | 15 | 1 | {"smallest_eigenvalues": [-66.99999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.99999999999943, "smallest_bitstrings": ["000000000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0024) q[0];
rz(0.0019) q[0];
rx(0.0025) q[1];
rz(0.0019) q[1];
rx(-0.0026) q[2];
rz(0.0051) q[2];
rx(0.0026) q[3];
rz(0.0013) q[3];
rx(0.0022) q[4];
rz(0.009) q[4];
rx(0.0022) q[5];
rz(0.0043) q[5];
rx(0.0022) q[6];
rz(0.0073) q[6];
rx(0.0022) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 13} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1382, 1386], "expectation_value": -1.5154165907249448, "params": [-0.0012000000000000001, 0.0029000000000000002, 0.5241, 0.521, -0.004, -0.00030000000000000003, 0.5241, 0.5227, 0.0176, -0.0354, 0.5135000000000001, 0.5184, 0.5264, 0.5267000000000001, -0.010700000000000001, -0.0032, -0.7709, -0.68380000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0013888888888888892 * (Z(2) @ Z(0)) + -0.0013888888888888892 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0010416666666666667 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0010416666666666667 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0012) q[0];
ry(0.5241) q[1];
ry(-0.004) q[2];
ry(0.5241) q[3];
ry(0.0176) q[4];
ry(0.5135) q[5];
ry(0.5264) q[6];
ry(-0.0107) q[7];
ry(-0.7709) q[8];
ry(0.4833) q[9];
ry(1.1375) q[10];
ry(0.482) q[11];
crz(0.7863) q[11], q[0];
crz(-0.2131) q[10], q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b4764399bb7694871d7cf0cc7a871143 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [15, 13], "expectation_value": -0.057145263537523305, "params": [[-0.007200000000000001, -0.0229], [-0.005200000000000001, 0.0167]], "bitstrings": ["10000", "10010"], "total_optimization_steps": 10, "probabilities": [0.031824025939541645, 0.03194998971177763], "optimization_time": 2.0638365745544434} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0144) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.018) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0108) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(0.0108) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.018) q[2];
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": 4} | {"circuits": [], "gradients": []} |
0203f7c837f2f7b281916c25ef227a97 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [911, 1023], "expectation_value": -13.05664735379745, "params": null, "bitstrings": ["110001110000", "110000000000"], "total_optimization_steps": 100, "probabilities": [0.06617525189757557, 0.4948418646600837], "optimization_time": 205.81603336334229} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(4) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["110000000000"]} | 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(1.5706) q[10], q[11];
ry(1.056) q[10];
cry(1.5707) q[10], q[9];
cry(1.5701) q[11], q[8];
cry(0.4073) q[8], q[11];
cry(1.5681) q[6], q[7];
ry(1.0829) q[6];
c... | 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(1.5706) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measu... |
2192070859996138702 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 3], [2, 4], [0, 1], [1, 3]]} | {"states": [9, 13], "expectation_value": -1.4639072530979564, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [0.23835204974460703, 0.60454753153029], "optimization_time": 14.451571226119995} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": 0.5, "smallest_bitstrings": ["01101", "00011", "10010", "11100", "10011", "10100", "01011", "01001", "01100", "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];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[4], q[0];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[0];
ry(1.1464) q[4];
ry(-0.4336) q[0];
cry(-0.5042) q[1], q[3];
cry(0.3449) q[1], q[4];
cry(0.1657) q[4], q[1];
cry(0.2758) q[0], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
0196429b0da7e22849832e813b6ffbfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -15.315977807708034, "params": [0.0026000000000000003, -0.29000000000000004, 0.005200000000000001, -0.2873, 0.003, -0.29050000000000004, 0.0011, -0.3032, 0.0035, -0.2902, 0.0002, -0.2757, 0.0019, -0.2705, 0.0001, -0.29510000000000003, 0.0013000000000000002, -0.2914, 0.002, -0.287... | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(-0.29) q[0];
rx(0.003) q[1];
rz(-0.2905) q[1];
rx(0.0035) q[2];
rz(-0.2902) q[2];
rx(0.0019) q[3];
rz(-0.2705) q[3];
rx(0.0013) q[4];
rz(-0.2914) q[4];
rx(0.0047) q[5];
rz(-0.29) q[5];
rx(0.0015) q[6];
rz(-0.2995) q[6];
rx(-0.0003) 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": 9} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.5605626459559883, "params": [[[1.189, 0.0077], [1.3794, 0.0057], [1.3441, 0.006200000000000001], [1.731, 0.006200000000000001], [1.8005, 0.0068000000000000005], [1.609, 0.0044]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 180, "probabilities": [0.04280031... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.189) q[0];
rz(0.0077) q[0];
rx(1.3794) q[1];
rz(0.0057) q[1];
rx(1.3441) q[2];
rz(0.0062) q[2];
rx(1.731) q[3];
rz(0.0062) q[3];
rx(1.8005) q[4];
rz(0.0068) q[4];
rx(1.609) q[5];
rz(0.0044) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 3} | {"circuits": [], "gradients": []} |
6019be0fa8c3633cf3c67a35b335404e | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [73, 35], "expectation_value": -1.7219792719659197, "params": [[-0.06860000000000001, -0.0753, -0.0618], [0.0738, 0.0789, 0.07390000000000001]], "bitstrings": ["0110110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.017150272812855995, 0.017910362604028226], "optimization_time": 4.74211144... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(5) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011100", "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(-0.0686) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0686) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0686) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0686) q[5];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
cb943fcd43d9f749780630b91be79506 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -8.387474193963351, "params": [[[-0.0013000000000000002, -1.1880000000000002], [-0.0058000000000000005, 0.042], [-0.0027, -0.0021000000000000003], [1.2015, -0.0016], [-0.0024000000000000002, 0.0016], [-0.0025, 0.0027], [0.0007, 0.0028], [0.7267, -1.7787000000000002], [-0.0306... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0013) q[0];
ry(-0.0058) q[1];
ry(-0.0027) q[2];
ry(1.2015) q[3];
ry(-0.0024) q[4];
ry(-0.0025) q[5];
ry(0.0007) q[6];
ry(0.7267) q[7];
ry(-0.0306) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
570854331bf757be794b813c390e4e40 | 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": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [120, 113], "expectation_value": -5.49989906066681, "params": null, "bitstrings": ["0000111", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6414805265533778e-05, 0.9999303742109635], "optimization_time": 39.90993905067444} | 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(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
1032127965810945069 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [8, 5], [2, 3, 5, 7], [0, 5], [0, 1, 4, 6], [8, 1, 2], [0, 8, 6, 7], [8, 0, 1], [1, 5], [2, 3, 4], [1, 6, 7], [4, 7], [1, 2, 3, 7], [8, 1, 6], [0, 1, 3, 6], [8, 0, 4, 6]]} | {"states": [433, 419], "expectation_value": -0.27834258541592116, "params": [[-0.0887], [0.0815]], "bitstrings": ["001001110", "001011100"], "total_optimization_steps": 10, "probabilities": [0.00236164336833211, 0.002399678193009083], "optimization_time": 3.3831489086151123} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.49999999999999994 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["001011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0296) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0887) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0444) q[3];
cx q[0], q[3];
cx q[2], q[8];
rz(-0.0296) q[8];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [230, 239], "expectation_value": -24.24736504694284, "params": null, "bitstrings": ["00011001", "00010000"], "total_optimization_steps": 80, "probabilities": [0.043382921721551566, 0.8506151438784146], "optimization_time": 116.78574633598328} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-5.3058) q[7];
ry(0.3258) q[4];
ry(0.5183) q[1];
ry(1.0424) q[6];
ry(1.255) q[2];
cry(-1.411) q[2], q[7];
cry(0.2674) q[6], q[7];
cry(0.4349) q[1], q[7];
cry(1.0375) q[4], q[7];
cry(1.0415) q[2... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-5.3058) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
7398654333065398867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 5, 9], [1, 10, 4], [3, 1, 11, 7], [8, 2, 5, 6], [1, 4, 6], [8, 7], [3, 10, 11], [0, 11, 12], [9, 12], [9, 2, 10]]} | {"states": [8165, 7909], "expectation_value": -2.7216756161096445, "params": [1.4924000000000002, 1.4998, 1.4894, 1.4928000000000001, 1.494, 1.4826000000000001, 1.3814, 1.4946000000000002, 0.6056, 0.48500000000000004, 1.4845000000000002, 1.4851, 1.4572, 1.4868000000000001, 1.4793, 1.4917, 0.2629, 0.251, 0.28, 0.2573000... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.166666666666... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["0000100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.4924) q[0];
ry(1.4894) q[1];
ry(1.494) q[2];
ry(1.3814) q[3];
ry(0.6056) q[4];
ry(1.4845) q[5];
ry(1.4572) q[6];
ry(1.4793) q[7];
ry(0.2629) q[8];
ry(0.28) q[9];
ry(1.4903) q[10];
ry(1.4921) q[11];
ry(1.3125) q[12];
crx(0.618) q[12], q[0];
crx(0.0812) 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": []} |
082b6c86bc8d553008a81e548bf0a65e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 3], "expectation_value": -12.715123843457839, "params": [-0.0034000000000000002, 0.4657, -0.0001, 0.3093, -0.0041, 0.4676, -0.0017000000000000001, 0.5309, -0.004, 0.528, -0.0033, 0.5154, -0.0016, 0.41400000000000003, 0.2571, -0.0012000000000000001, 0.7070000000000001, -0.0008, 0.00030000000000000003, 0.3... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 4 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0034) q[0];
rz(0.4657) q[0];
rx(-0.0001) q[1];
rz(0.3093) q[1];
rx(-0.0041) q[2];
rz(0.4676) q[2];
rx(-0.0017) q[3];
rz(0.5309) q[3];
rx(-0.004) q[4];
rz(0.528) q[4];
rx(-0.0033) q[5];
rz(0.5154) q[5];
rx(-0.0016) q[6];
rz(0.414) q[6];
rx(0.2571) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 5, "source": 0, "t... | {"states": [199, 109], "expectation_value": -8.787007852922793, "params": [[-0.0218, -0.032], [0.020900000000000002, 0.0488]], "bitstrings": ["00111000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007051937401527182, 0.007796629693015008], "optimization_time": 3.2399344444274902} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1962) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1962) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1962) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1962) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] 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]}"} | {"circuits": [], "gradients": []} |
ead5b47990aff308f37407aa5bdb12e1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [127, 1023], "expectation_value": -14.322876693691912, "params": null, "bitstrings": ["11110000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.07247085461415272, 0.4234213310117931], "optimization_time": 237.9462502002716} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[9], q[10];
cry(1.5708) q[10], q[7];
cry(1.2306) q[7], q[9];
cry(0.4422) q[7], q[10];
cry(1.5705) q[10], q[8];
cry(1.5681) q[2], q[3];
cry(1.5708) q[3], q[1... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[9], q[10];\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... |
068ca9ebc869ed2b6b1f40ca0469471e | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 97], "expectation_value": -5.496515641776487, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 28, "probabilities": [0.06700895329534476, 0.9297461640990027], "optimization_time": 34.117696046829224} | 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];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[5];
ry(0.7022) q[6];
ry(-0.4578) q[5];
cry(0.497) q[0], q[6];
cry(-0.3761) q[0], q[5];
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", ... |
251c225029b23900c5d41a0a241e8f62 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [66, 18], "expectation_value": -4.119579337267342, "params": [0.2921, -0.11130000000000001, 0.29400000000000004, -0.10880000000000001, -0.0154, 0.1759, -0.0183, 0.1708, 0.2917, -0.11320000000000001, 0.2889, -0.0891, 0.06770000000000001, 0.16770000000000002, 0.061000000000000006, 0.168, 0.27290000000000003, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 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)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 *... | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001111", "0110111", "1101011", "0111011", "1100111", "0111101", "0111110", "1101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2921) q[0];
rz(-0.1113) q[0];
rx(-0.0154) q[1];
rz(0.1759) q[1];
rx(0.2917) q[2];
rz(-0.1132) q[2];
rx(0.0677) q[3];
rz(0.1677) q[3];
rx(0.2729) q[4];
rz(0.1671) q[4];
rx(0.2808) q[5];
rz(0.0686) q[5];
rx(-0.0104) q[6];
rz(0.1776) q[6];
crz(0.0992) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | null | {"circuits": [], "gradients": []} |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 182.8159236907959} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.197) q[0];
ry(-0.3559) q[2];
ry(-0.2317) q[1];
ry(-0.5045) q[3];
cry(-1.2391) q[5], q[0];
cry(-1.2069) q[7], q[2];
cry(-1.066) q[6], q[3];
cry(-1.3391) q[4], q[1];
ry(1.0455) q[5];
cry(-0.60... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [0, 495], "expectation_value": -4.207725117477514, "params": [-0.5117, 0.15810000000000002, -0.2429, 0.465, -0.5142, 0.307, -0.3241, 0.5283, 0.5315, 0.38530000000000003, 0.36300000000000004, 0.5765, 0.5337000000000001, 0.5844, 0.3766, 0.6555000000000001, 0.4631, 0.0717, 0.2736, 0.0344, 0.5446, 0.5433, 0.3932... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.5117) q[0];
rz(0.1581) q[0];
rx(-0.5142) q[1];
rz(0.307) q[1];
rx(0.5315) q[2];
rz(0.3853) q[2];
rx(0.5337) q[3];
rz(0.5844) q[3];
rx(0.4631) q[4];
rz(0.0717) q[4];
rx(0.5446) q[5];
rz(0.5433) q[5];
rx(0.5464) q[6];
rz(0.8007) q[6];
rx(0.5274) 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": 5} | {"circuits": [], "gradients": []} |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 159.84968852996826} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[1];
ry(-0.8504) q[2];
ry(-34.9236) q[4];
ry(62.9378) q[5];
ry(63.093) q[3];
ry(-2.6361) q[6];
cry(-11.8422) q[4], q[1];
ry(10.8316) q[7];
cry(11.8064) q[4], q[2];
cry(10.5078) q[4], q... | null | {"matching": "maximum", "extra": "{\"n\": 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(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9073791101012246991 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[8, 2, 3], [13, 12, 5, 6], [0, 1, 3, 5, 6, 8], [3, 5, 6, 9, 10], [0, 2], [10, 2], [2, 6], [1, 3, 4, 7, 9, 10, 11, 12], [13, 3, 5], [8, 11, 3], [8, 10, 4, 7], [12, 13, 6, 7], [10, 3, 6, 7], [0, 1, 5, 10, 12, 13], [0, 4, 5, 6, 10, 11]]} | {"states": [14011, 9915], "expectation_value": -4.427886443317849, "params": null, "bitstrings": ["00100101000100", "01100101000100"], "total_optimization_steps": 100, "probabilities": [0.09301029656851713, 0.7796576146647524], "optimization_time": 3076.1350095272064} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.36666666666666664 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(13) @ Z(3)) + 0.017857142857142856 * (Z(12) @ Z(3)) + 0.19999999999999998 * (Z(12) @ Z(13)) + 0.03333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(3)) + 0.2833333333333333 * (Z(5)... | 9 | 14 | 1 | {"smallest_eigenvalues": [-4.460714285714245], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.411904761904717, "smallest_bitstrings": ["01100101000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] 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];
ry(1.5623) q[3];
ry(1.4234) q[6];
cry(-1.4427) q[6], q[2];
ry(1.5496) q[10];
ry(1.4947) q[0];
cry(-0.1299) q[10], q[2];
ry(0.8503) q[8];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nry(1.5623) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc... |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.0977160930633545} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[3];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[0];
cry(-0.1187) q[0], q[1];
cry(-0.021) q[0], q[2];
cry(-0.0027) q[0], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
b34692bbb393a9c8c39ee60500b791d0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [0, 1016], "expectation_value": -12.594391157803877, "params": [0.4824, 0.2296, -0.6838000000000001, 0.0004, -0.7121000000000001, 1.8403, -0.5983, 0.0073, -0.8072, 1.4085, 0.2232, 0.0018000000000000002, 0.8465, 1.0724, -0.1486, 0.0035, -0.8972, 0.8693000000000001, 0.4001, 0.0038, 0.8781, 0.739, -0.1034, 0.00... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4824) q[0];
rz(0.2296) q[0];
rx(-0.7121) q[1];
rz(1.8403) q[1];
rx(-0.8072) q[2];
rz(1.4085) q[2];
rx(0.8465) q[3];
rz(1.0724) q[3];
rx(-0.8972) q[4];
rz(0.8693) q[4];
rx(0.8781) q[5];
rz(0.739) q[5];
rx(0.7084) q[6];
rz(0.7587) q[6];
rx(0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
2b1c1c2594b19506ee13e210b86437bc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [95, 511], "expectation_value": -16.588208026554184, "params": null, "bitstrings": ["1110100000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.10478552899821775, 0.45104032997739557], "optimization_time": 243.5152473449707} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[1], q[2];
cry(1.5708) q[2], q[4];
cry(1.1127) q[4], q[1];
cry(0.229) q[4], q[2];
cry(1.5708) q[3], q[5];
ry(1.1264) q[3];
ry(0.5462) q[5];
cry(1.5706) q[8], q[9];
r... | 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[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
ef86cdfaf327bff6279da2b2e63cb516 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1002, 746], "expectation_value": -1.505235015733705, "params": [0.5806, 0.5775, 0.3215, 0.3241, 0.5272, 0.5352, 0.5928, 0.6005, 0.603, 0.5954, 0.1008, 0.09960000000000001, 0.5943, 0.5941000000000001, 0.1092, 0.1071, 0.5984, 0.5984, 0.12340000000000001, 0.11470000000000001, 0.5832, 0.5760000000000001, 0.3204... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 13 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.125, "smallest_bitstrings": ["1000100011", "0100010101", "1000100110", "0011000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5806) q[0];
ry(0.3215) q[1];
ry(0.5272) q[2];
ry(0.5928) q[3];
ry(0.603) q[4];
ry(0.1008) q[5];
ry(0.5943) q[6];
ry(0.1092) q[7];
ry(0.5984) q[8];
ry(0.1234) q[9];
crz(-0.2082) q[9], q[0];
crz(-0.0105) q[8], q[9];
crz(0.2604) q[7], q[8];
crz(0.1841) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3449581185491396938 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 7], [8, 2, 5, 6], [0, 1, 4, 7, 9], [4, 6], [1, 4, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 3, 6], [1, 5, 7], [1, 3, 4, 7, 9], [1, 3, 4, 8, 9], [0, 3, 4, 5, 7], [8, 1, 6], [8, 1, 2]]} | {"states": [1010, 882], "expectation_value": -2.836529752407773, "params": [1.6721000000000001, -0.0066, 0.3633, 0.006500000000000001, 1.6776, -0.017400000000000002, 0.5459, 0.008700000000000001, 1.6715, -0.0223, 1.2395, 0.0001, 1.683, -0.0304, 1.6195000000000002, 0.0036000000000000003, 1.6879000000000002, -0.0275, 0.4... | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(4)) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333344, -3.3333333333333344], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3000000000000003, "smallest_bitstrings": ["0010001101", "0000100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6721) q[0];
rz(-0.0066) q[0];
rx(1.6776) q[1];
rz(-0.0174) q[1];
rx(1.6715) q[2];
rz(-0.0223) q[2];
rx(1.683) q[3];
rz(-0.0304) q[3];
rx(1.6879) q[4];
rz(-0.0275) q[4];
rx(1.6903) q[5];
rz(-0.0367) q[5];
rx(1.6881) q[6];
rz(-0.0085) q[6];
rx(1.6884) 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": []} |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [218, 219], "expectation_value": -2.231002522500506, "params": [[[1.1199000000000001, -0.0035, 0.01, 0.0073], [1.2031, 0.0035, 1.5532000000000001, 0.0026000000000000003], [1.5855000000000001, 0.0016, 1.5815000000000001, 0.009000000000000001], [1.5995000000000001, -0.17170000000000002, 0.7237, 0.0022], [0.003... | 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(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(4) @ Z(9)) + 0.12... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011010010", "1001010010", "1000011010", "0011100010", "0101010001", "0101010010", "1000100110... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1199) q[0];
rz(-0.0035) q[0];
ry(1.2031) q[1];
rz(0.0035) q[1];
ry(1.5855) q[2];
rz(0.0016) q[2];
ry(1.5995) q[3];
rz(-0.1717) q[3];
ry(0.003) q[4];
rz(-0.9793) q[4];
ry(-0.0022) q[5];
rz(0.1018) q[5];
ry(1.5767) q[6];
rz(0.0021) q[6];
ry(1.583) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b1b59d51af8d5ffde35a550fbcfeb6e8 | 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": [485, 229], "expectation_value": -87.25900106571363, "params": [-0.012, 0.7613000000000001, 0.0022, 0.3715, 0.0026000000000000003, 0.6039, 0.7072, -0.3256, 1.208, 0.001, 1.195, 0.0017000000000000001, 1.2066000000000001, 0.2786, 0.7471, 0.4803, -0.0211, 0.5952000000000001, 1.2023000000000001, 0.30560000000000... | 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(11)) + 15.0 * Z(5) + 17.5 * Z(4) + 4.5 * Z(3) + 6.5 * Z(6) + -5.0 * Z(2) + 5.0 * Z(7) + -3.5 * Z(8) + 10... | 18 | 12 | 2 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["111100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.012) q[0];
rz(0.7613) q[0];
rx(0.0022) q[1];
rz(0.3715) q[1];
rx(0.0026) q[2];
rz(0.6039) q[2];
rx(0.7072) q[3];
rz(-0.3256) q[3];
rx(1.208) q[4];
rz(0.001) q[4];
rx(1.195) q[5];
rz(0.0017) q[5];
rx(1.2066) q[6];
rz(0.2786) q[6];
rx(0.7471) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"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": [1, 511], "expectation_value": -19.060904042348803, "params": [[[0.0073, 0.014400000000000001], [-0.0009000000000000001, 0.3274], [0.0026000000000000003, 0.0029000000000000002], [0.0022, -0.0025], [0.0021000000000000003, 0.0019], [0.002, -0.0024000000000000002], [0.0025, 0.0017000000000000001], [0.0027, 0.00... | -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 | 3 | {"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(0.0073) q[0];
ry(-0.0009) q[1];
ry(0.0026) q[2];
ry(0.0022) q[3];
ry(0.0021) q[4];
ry(0.002) q[5];
ry(0.0025) q[6];
ry(0.0027) q[7];
ry(0.483) q[8];
ry(0.2029) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 85.77682185173035} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
3bd6f29363a868a92edc437196fa5119 | 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": [698, 690], "expectation_value": -67.32997467587403, "params": [0.005200000000000001, 0.2879, 0.5982000000000001, 0.1809, 0.0099, 0.3462, 0.5936, 0.0886, 0.23370000000000002, 0.223, 0.5957, -0.0071, 0.6011000000000001, 0.0733, 0.3794, 0.1456, 0.3052, 0.21080000000000002, 0.5996, 0.07880000000000001, 0.381, 0... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + -3.0 * Z(2) + 1.5 * Z(1) + 17.0 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 4.5 * Z(... | 18 | 11 | 4 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0052) q[0];
rz(0.2879) q[0];
rx(0.5982) q[1];
rz(0.1809) q[1];
rx(0.0099) q[2];
rz(0.3462) q[2];
rx(0.5936) q[3];
rz(0.0886) q[3];
rx(0.2337) q[4];
rz(0.223) q[4];
rx(0.5957) q[5];
rz(-0.0071) q[5];
rx(0.6011) q[6];
rz(0.0733) q[6];
rx(0.3794) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
b549f54f988f8e7587562ba90db6d29f | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [95, 127], "expectation_value": -20.146094622642337, "params": null, "bitstrings": ["11110100000", "11110000000"], "total_optimization_steps": 100, "probabilities": [0.18682486336314047, 0.303736406808388], "optimization_time": 283.42872619628906} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-45.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[7], q[5];
cry(1.5668) q[5], q[8];
cry(0.1897) q[5], q[6];
cry(-0.1662) q[8], q[7];
ry(-0.1802) q[7];
cry(0.1799) q[5], q[7];
cry(0.2482) q[8], q[4];
cry(0.... | null | {"node": 2} | {"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[7], 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[... |
75d554aeee06fbf8bfe9226005af8f80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [177, 179], "expectation_value": -18.63029066176964, "params": null, "bitstrings": ["101001110", "101001100"], "total_optimization_steps": 84, "probabilities": [0.2343257698602638, 0.5943727541305504], "optimization_time": 140.64564418792725} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-0.7408) q[5];
ry(1.5709) q[7];
cry(0.0007) q[7], q[5];
cry(-1.5708) q[7], q[6];
cry(1.5708) q[1], q[3];
ry(1.0062) q[1];
ry(1.5708) q[8];
cry(-1.1737) q[8], q[0];
cry(-0.8299) q[8], q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.7408) 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] = ... |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 69.14178895950317} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | 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(62.9199) q[5];
ry(4.2103) q[4];
cry(2.4382) q[7], q[5];
ry(0.3263) q[3];
cry(1.2445) q[6], q[3];
cry(-3.31) q[3], q[4];
ry(1.2782) q[7];
cry(0.6619) q[6], q[4];
ry(-1.5681) q[1];
ry(-1.5486) q[... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(62.9199) 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... |
caf35114cd2a6c8ee1f15868fb61caaf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -4.496515655422481, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 22, "probabilities": [0.06700924257678981, 0.9297458928378854], "optimization_time": 21.505455493927002} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 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": ["1000111", "0001111", "0101011", "0111100", "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[5];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[0];
cry(-1.0398) q[2], q[6];
ry(0.7022) q[2];
ry(-0.4578) q[6];
cry(0.497) q[1], q[2];
cry(-0.3761) q[1], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.9959815914125336, "params": null, "bitstrings": ["11111", "11011"], "total_optimization_steps": 10, "probabilities": [0.003927302792350724, 0.9960139005851092], "optimization_time": 5.542099714279175} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"]} | 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(-1.5486) q[0];
ry(-1.5486) q[4];
ry(-1.4449) q[1];
ry(-1.4449) q[3];
ry(1.4449) q[2];
cry(-0.1187) q[2], q[3];
cry(-0.1187) q[2], q[1];
cry(-0.021) q[2], q[4];
cry(-0.021) q[2], q[0];
c[0] = measure q[0];
c[1] = measu... | 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(-1.5486) 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]... |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 13], "expectation_value": -2.022985411392768, "params": [[[0.29300000000000004, -0.1962], [0.3277, -0.1869], [0.6393, -0.006], [0.6954, -0.0013000000000000002], [0.442, 0.09920000000000001], [0.6528, -0.0014]], [[0.2959, -0.1962], [0.32330000000000003, -0.1869], [0.6408, -0.006], [0.7003, -0.00130000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.293) q[0];
rz(-0.1962) q[0];
rx(0.3277) q[1];
rz(-0.1869) q[1];
rx(0.6393) q[2];
rz(-0.006) q[2];
rx(0.6954) q[3];
rz(-0.0013) q[3];
rx(0.442) q[4];
rz(0.0992) q[4];
rx(0.6528) q[5];
rz(-0.0014) q[5];
rx(0.2959) q[0];
rz(-0.1962) q[0];
rx(0.3233) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
7218c16c40b056c69e97a1ee5dfc7d5c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [104, 360], "expectation_value": -8.087613730264472, "params": [0.3899, 0.3904, -0.0022, -0.0039000000000000003, 0.4042, 0.4068, 0.397, 0.40040000000000003, -0.0055000000000000005, -0.0041, 0.399, 0.4012, -0.011300000000000001, -0.0056, -0.0036000000000000003, -0.0029000000000000002, 0.39890000000000003, 0.3... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.0, "smallest_bitstrings": ["010010111", "110010110", "110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3899) q[0];
ry(-0.0022) q[1];
ry(0.4042) q[2];
ry(0.397) q[3];
ry(-0.0055) q[4];
ry(0.399) q[5];
ry(-0.0113) q[6];
ry(-0.0036) q[7];
ry(0.3989) q[8];
crx(0.2815) q[8], q[0];
crx(0.1323) q[7], q[8];
crx(0.2058) q[6], q[7];
crx(0.0073) q[5], q[6];
crx(-0.14... | 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": []} |
3093140569224957743 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 4], [1, 3], [3, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [9, 13], "expectation_value": -1.3841059733771666, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 27, "probabilities": [0.10202929943789955, 0.6806318925989161], "optimization_time": 16.483323097229004} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["11100", "10010", "10100", "10110", "00011", "01001", "01011", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[2], q[3];
ry(0.7003) q[2];
cry(-0.7092) q[4], q[3];
cry(1.2201) q[2], q[1];
cry(-0.9719) q[4], q[0];
ry(0.6679) q[4];
cry(-0.397) q[1], q[3];
cry(0.4447) q[4], q[1];
cry(-0.5835) q[1], q[0];
cry(0.5577) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
3809419528411037701 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 7], [8, 10], [9, 6], [0, 7], [1, 6], [2, 6], [10, 3], [10, 4], [10, 5], [11, 3]]} | {"states": [1278, 1271], "expectation_value": -3.991127970414257, "params": [[[-0.0038, 0.0023], [1.5727, 1.5183], [0.0019, 1.5126000000000002], [0.020200000000000003, 0.0682], [-1.5687, 2.0245], [-0.0031000000000000003, 1.1215000000000002], [-0.0025, -0.0031000000000000003], [-0.0032, -0.002], [1.5730000000000002, 1.5... | 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(9) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(8) + 0.0 * Z(11) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["101100001000", "111110000001", "010011110111", "000001111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0038) q[0];
ry(1.5727) q[1];
ry(0.0019) q[2];
ry(0.0202) q[3];
ry(-1.5687) q[4];
ry(-0.0031) q[5];
ry(-0.0025) q[6];
ry(-0.0032) q[7];
ry(1.573) q[8];
ry(1.5682) q[9];
ry(1.5679) q[10];
ry(-0.0049) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10]... | 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": []} |
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [249, 255], "expectation_value": -1.381766958861479, "params": [[0.0785, 0.075], [-0.0847, -0.07490000000000001]], "bitstrings": ["100000110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004780178155902141, 0.0049902840854878505], "optimization_time": 4.185078144073486} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000110", "100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(-0.0785) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(-0.1963) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(-0.0393) q[7];
cx q[0], q[7];
cx q[3], q[1];
rz(-0.0393) q[1];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
784a7d1914642d32b8d9e24da5ce100e | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [52, 56], "expectation_value": -3.9963978611297515, "params": null, "bitstrings": ["1001011", "1000111"], "total_optimization_steps": 29, "probabilities": [0.06635232627248393, 0.9303264936654667], "optimization_time": 24.665363311767578} | 0.5 * (Z(0) @ 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(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"]} | 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[0];
ry(-1.5681) q[6];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[2];
cry(-1.0343) q[3], q[4];
ry(0.7003) q[3];
cry(-0.1259) q[2], q[5];
ry(-0.4549) q[4];
cry(0.4962) q[2], q[3];
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[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", ... |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57023, 57015], "expectation_value": -18.805746630498437, "params": [[[1.387, -0.0637, 0.004200000000000001, 0.0056], [0.6525000000000001, 0.024800000000000003, -0.184, 0.0013000000000000002], [0.11660000000000001, 0.0397, 0.0026000000000000003, 0.0412], [0.7665000000000001, -0.0167, 0.6886, 0.0038], [-0.060... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 12 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.9999999999999, "smallest_bitstrings": ["0010000101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.387) q[0];
rz(-0.0637) q[0];
ry(0.6525) q[1];
rz(0.0248) q[1];
ry(0.1166) q[2];
rz(0.0397) q[2];
ry(0.7665) q[3];
rz(-0.0167) q[3];
ry(-0.0601) q[4];
rz(0.005) q[4];
ry(1.0268) q[5];
rz(0.004) q[5];
ry(1.2021) q[6];
rz(-0.0021) q[6];
ry(0.5771) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
a05d82ae8330cd3637e3aa5e24462366 | 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": [3732, 3220], "expectation_value": -95.75375135700689, "params": [2.4085, 0.0091, 2.3973, 0.00030000000000000003, 1.5646, 0.0054, 0.003, 0.0067, 2.4072, 0.0012000000000000001, 0.0028, 0.0006000000000000001, 0.0018000000000000002, 0.0013000000000000002, 2.4012000000000002, 0.006900000000000001, 1.3198, 0.001,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(3) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(11) @ Z(1)) + 8.5 * Z(2) + 17.0 * Z(1) + 22.5 * Z(0) + 7.5 * Z(4) + ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-139.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["001101101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.4085) q[0];
rz(0.0091) q[0];
rx(2.3973) q[1];
rz(0.0003) q[1];
rx(1.5646) q[2];
rz(0.0054) q[2];
rx(0.003) q[3];
rz(0.0067) q[3];
rx(2.4072) q[4];
rz(0.0012) q[4];
rx(0.0028) q[5];
rz(0.0006) q[5];
rx(0.0018) q[6];
rz(0.0013) q[6];
rx(2.4012) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
3fb92c2724b637b3a6562529e78f511e | 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}], "edges": [{"weight": 10, "source": 0, "... | {"states": [345, 218], "expectation_value": -20.28281343949101, "params": [[0.0227, -0.0446, -0.0229], [-0.0422, 0.0565, 0.07010000000000001]], "bitstrings": ["010100110", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007067194669440677, 0.008905794488409202], "optimization_time": 5.540162563323975} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "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[0], q[1];
rz(0.2043) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(0.2043) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.2043) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.2043) q[2];
cx q[4], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
1d90f6c59bdc244a93b2d39d285f8ffc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [246, 214], "expectation_value": -63.21945045415957, "params": [1.3681, -0.0018000000000000002, 2.4817, -0.0027, 2.4898000000000002, -0.0033, 2.507, -0.7804, 2.4962, 0.0031000000000000003, 0.8806, 1.0705, 2.4978000000000002, 0.0023, 2.5060000000000002, 0.0032, 1.067, 0.0091, -1.3627, 0.6754, 0.68580000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 4 | 9 | 1 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.3681) q[0];
rz(-0.0018) q[0];
rx(2.4817) q[1];
rz(-0.0027) q[1];
rx(2.4898) q[2];
rz(-0.0033) q[2];
rx(2.507) q[3];
rz(-0.7804) q[3];
rx(2.4962) q[4];
rz(0.0031) q[4];
rx(0.8806) q[5];
rz(1.0705) q[5];
rx(2.4978) q[6];
rz(0.0023) q[6];
rx(2.506) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 8.965117931365967} | 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
ry(1.4417) q[2];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.4969) q[2], q[3];
cry(-0.3761) q[2], q[4];
cry(-0.1216) q[2], q[0];
cry(0.1097) q[3], q[2];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
5599209576576838279 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 7, 8], [8, 2, 6, 7], [0, 1, 2, 3, 5, 6, 7]]} | {"states": [415, 381], "expectation_value": -0.25772727852958977, "params": [[-0.47240000000000004], [0.4651]], "bitstrings": ["001100000", "010000010"], "total_optimization_steps": 50, "probabilities": [0.0032413098979464567, 0.003241309897946458], "optimization_time": 6.823251247406006} | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809], "number_of_smallest_eigenvalues": 11, "first_excited_energy": ... | 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(-0.045) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.045) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.045) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.045) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
151fc38f9e9506dbe7b8d603642ed0f4 | edge_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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [2717, 2749], "expectation_value": -3.849209437587371, "params": [[[1.5686, 0.002], [0.0023, 1.1356000000000002], [1.5689000000000002, 0.0026000000000000003], [0.0029000000000000002, -1.1424], [1.5717, 0.0017000000000000001], [-0.0023, -1.036], [0.8457, -0.0198], [1.5557, -0.0016], [1.5724, 0.001700000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 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)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(4) @ Z(9)) + 0.0625 * (Z(4) @ Z(10))... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.3125, "smallest_bitstrings": ["010100110000", "001101000100", "100000100101", "010101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5686) q[0];
rz(0.002) q[0];
rx(0.0023) q[1];
rz(1.1356) q[1];
rx(1.5689) q[2];
rz(0.0026) q[2];
rx(0.0029) q[3];
rz(-1.1424) q[3];
rx(1.5717) q[4];
rz(0.0017) q[4];
rx(-0.0023) q[5];
rz(-1.036) q[5];
rx(0.8457) q[6];
rz(-0.0198) q[6];
rx(1.5557) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.4106531086748229, "params": [[-0.056900000000000006, -0.0853], [0.0597, 0.076]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.012098609572544876, 0.012689470582015413], "optimization_time": 4.706388473510742} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0569) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0285) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.0569) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.0569) q[4];
cx q[2], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 6} | {"circuits": [], "gradients": []} |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -14.326742898232974, "params": [[0.0056, -0.0351, -0.029500000000000002, 0.0131], [-0.037200000000000004, 0.0398, 0.053500000000000006, 0.014400000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00995898186156702, 0.010... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0448) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0448) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0448) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.0448) q[3];
cx q[4], q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7e10b313c0e966d78a431e218b1e1e89 | 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": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -23.575543580132102, "params": [[0.0325, 0.0022], [-0.07830000000000001, -0.0674]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006336888214720272, 0.008607424075511325], "optimization_time": 3.398092746734619} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2925) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2925) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2925) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2925) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6f98ac79783fe743485024afff5419b3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "sourc... | {"states": [430, 234], "expectation_value": -10.085893317589244, "params": [[0.040100000000000004], [-0.0627]], "bitstrings": ["001010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0036962687519786234, 0.004284886374666227], "optimization_time": 1.983668327331543} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.401) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.401) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.401) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.401) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
736f86727c31ef3d34155601bf70eebe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [72, 74], "expectation_value": -4.039867782918707, "params": [[[-0.0031000000000000003, -0.1927], [0.4005, 0.0025], [-0.0025, 0.1951], [0.13, 0.1365], [0.4066, 0.0014], [0.19010000000000002, -0.0918], [0.4, -0.0009000000000000001], [-0.0047, 0.198]], [[-0.0048000000000000004, -0.1927], [0.4026, 0.0025], [-0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -1.5 * Z(0) + -1.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["10110101", "01011011", "10101101", "11110010", "11110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0031) q[0];
rz(-0.1927) q[0];
rx(0.4005) q[1];
rz(0.0025) q[1];
rx(-0.0025) q[2];
rz(0.1951) q[2];
rx(0.13) q[3];
rz(0.1365) q[3];
rx(0.4066) q[4];
rz(0.0014) q[4];
rx(0.1901) q[5];
rz(-0.0918) q[5];
rx(0.4) q[6];
rz(-0.0009) q[6];
rx(-0.0047) 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": []} |
-7137806542513040045 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [212, 216], "expectation_value": -0.0171061747622796, "params": [[0.0692], [-0.0709]], "bitstrings": ["00101011", "00100111"], "total_optimization_steps": 10, "probabilities": [0.004043777437679961, 0.004043777437679961], "optimization_time": 2.5072665214538574} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) +... | 1 | 8 | 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[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(0.0231) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0231) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0231) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0069) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
1960014187574628116 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 5, 6, 7], [0, 4], [1, 4]]} | {"states": [30, 214], "expectation_value": -0.00942632272188862, "params": [[-0.0431], [0.050100000000000006]], "bitstrings": ["11100001", "00101001"], "total_optimization_steps": 10, "probabilities": [0.003983508909701777, 0.003983508909701777], "optimization_time": 0.6298544406890869} | 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.1 * Z(3) + 0.1 * Z(2) + 0.1 * Z(5) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(-0.0043) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0.0043) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0.0043) q[5];
cx q[2], q[5];
cx q[3], q[6];
rz(-0.0043) q[6];
cx q[3], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[2], q... | null | {"circuits": [], "gradients": []} |
c22cec1796f2f52036673550667aae4b | 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": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -22.819526355767795, "params": [[0.0247, -0.0001, 0.0106], [-0.051500000000000004, -0.0407, -0.0536]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005645626520144986, 0.007216728210980614], "optimization_time": 11.312159299850... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "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(0.2223) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2223) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2223) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2223) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
d1cbae91a8cc7bc4b3c16493bbaa3c02 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -12.052054232227816, "params": [0.00030000000000000003, -0.002, 0.0057, -0.0001, 0.0013000000000000002, -0.0021000000000000003, 0.2034, 0.1993, 0.0063, 0.0001, -0.0, 0.0028, -0.0, 0.0011, 0.007200000000000001, 0.0031000000000000003, 0.006500000000000001, 0.0005, -0.000300000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0003) q[0];
ry(0.0057) q[1];
ry(0.0013) q[2];
ry(0.2034) q[3];
ry(0.0063) q[4];
ry(0) q[5];
ry(0) q[6];
ry(0.0072) q[7];
ry(0.0065) q[8];
ry(-0.0003) q[9];
ry(0.0073) q[10];
ry(0.0024) q[11];
crx(-0.1226) q[11], q[0];
crx(-0.0955) q[10], q[11];
crx(0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 44], "expectation_value": -3.4890916346507894, "params": null, "bitstrings": ["1001011", "1010011"], "total_optimization_steps": 32, "probabilities": [0.06071916604716631, 0.8639381839609779], "optimization_time": 23.539486169815063} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[6];
ry(1.4417) q[1];
cry(-1.0398) q[3], q[2];
cry(-1.0342) q[4], q[0];
ry(0.7022) q[3];
ry(0.7003) q[4];
ry(-0.4578) q[2];
cry(0.4969) q[1], 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[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", ... |
bbe36c72142a04c8b1698fed3f77c25c | kclique | vqe | {"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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [19, 18], "expectation_value": -4.002328098511838, "params": [[[0.8886000000000001, 0.0019], [0.2746, -0.3064], [0.2705, 0.3099], [0.874, 0.004], [0.7325, 0.08270000000000001]], [[0.8902, 0.001], [0.28290000000000004, 0.006500000000000001], [0.2707, 0.0036000000000000003], [0.8777, 0.0061], [0.73120000000000... | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.8886) q[0];
rz(0.0019) q[0];
rx(0.2746) q[1];
rz(-0.3064) q[1];
rx(0.2705) q[2];
rz(0.3099) q[2];
rx(0.874) q[3];
rz(0.004) q[3];
rx(0.7325) q[4];
rz(0.0827) q[4];
rx(0.8902) q[0];
rz(0.001) q[0];
rx(0.2829) q[1];
rz(0.0065) q[1];
rx(0.2707) q[2];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
5bb3f230f56ac9bab802a8146772ac94 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "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": [7, 3], "expectation_value": -3.074889005081605, "params": [[-0.0204, 0.0307], [0.028900000000000002, -0.0252]], "bitstrings": ["1111000", "1111100"], "total_optimization_steps": 10, "probabilities": [0.00862324179968387, 0.008651736148040493], "optimization_time": 4.223191976547241} | 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)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 16 | 7 | 2 | {"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;
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(-0.1122) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1122) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1122) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1122) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
3089006415682407251 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [4, 7], [3, 6], [1, 6], [0, 7], [0, 4], [5, 7], [0, 3], [2, 6], [2, 7], [0, 2], [2, 3], [4, 6], [3, 5], [0, 5]]} | {"states": [46, 209], "expectation_value": -0.1593088183572562, "params": [[-0.0782], [0.0702]], "bitstrings": ["11010001", "00101110"], "total_optimization_steps": 10, "probabilities": [0.004526856939767738, 0.004526856939767738], "optimization_time": 2.1990702152252197} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101110", "01011001", "01101100", "10100110", "10000110", "10000011", "01111001", "01111100", "10010011", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(-0.0782) q[6];
cx q[7], q[6];
cx q[7], q[4];
rz(-0.0782) q[4];
cx q[7], q[4];
cx q[6], q[4];
rz(-0.0782) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(-0.0782) q[3];
cx q[6], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6]... | null | {"circuits": [], "gradients": []} |
685055bd53f01c347f7f2a1d5c7df105 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [101, 85], "expectation_value": -0.34792551485565865, "params": [[0.0728, 0.0695], [-0.0665, -0.0711]], "bitstrings": ["0011010", "0101010"], "total_optimization_steps": 10, "probabilities": [0.010982835910420223, 0.010982835910420229], "optimization_time": 2.615830898284912} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101010", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0728) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(0.0728) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0728) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0728) q[3];
cx q[1], q[3];
cx q[5], 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[5], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
4286d838a0864c608421aefd7c0a8694 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [129, 3], "expectation_value": -15.8282184789504, "params": null, "bitstrings": ["01111110", "11111100"], "total_optimization_steps": 45, "probabilities": [0.21414457341852555, 0.4733969601642436], "optimization_time": 48.07623839378357} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.9755) q[7];
cry(-1.1413) q[7], q[0];
ry(-1.5709) q[3];
ry(-1.4402) q[1];
ry(-1.5709) q[4];
ry(1.5575) q[0];
cry(-1.9905) q[6], q[0];
cry(0.0381) q[6], q[7];
ry(-1.5708) q[2];
cry(-0.9875) q[5... | 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(0.9755) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-510537143554894511 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3, 4, 5, 6, 8, 10, 11], [0, 2, 3, 4, 5, 6, 9, 10, 11, 12], [2, 4, 7], [2, 7, 9, 11, 12], [0, 2, 5, 7, 8, 10, 11, 12], [0, 4, 5, 6, 7, 8, 10], [0, 1, 2, 6, 10, 12], [8, 9, 11, 4], [0, 4, 5, 6, 7, 10, 12], [0, 1, 3, 5, 6, 7, 8, 10, 11, 12], [0, 1, 9... | {"states": [7095, 7091], "expectation_value": -5.093230109107454, "params": [[[3.1430000000000002, 0.002, 0.0086, 0.009000000000000001], [-0.003, 0.9068, 1.5738, 0.0081], [-0.0021000000000000003, 0.0032, 0.0081, 0.0058000000000000005], [1.4428, 0.0029000000000000002, 0.8534, 0.0], [3.1437, 0.0054, 0.005200000000000001,... | 0.23015873015873012 * (Z(2) @ Z(3)) + 0.06468253968253967 * (Z(4) @ Z(3)) + 0.19563492063492063 * (Z(4) @ Z(2)) + 0.18293650793650795 * (Z(5) @ Z(3)) + 0.098015873015873 * (Z(5) @ Z(2)) + 0.1599206349206349 * (Z(5) @ Z(4)) + 0.19484126984126982 * (Z(6) @ Z(3)) + 0.13015873015873014 * (Z(6) @ Z(2)) + 0.1361111111111111 ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-5.176984126984126], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.122222222222222, "smallest_bitstrings": ["0010001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(3.143) q[0];
rz(0.002) q[0];
ry(-0.003) q[1];
rz(0.9068) q[1];
ry(-0.0021) q[2];
rz(0.0032) q[2];
ry(1.4428) q[3];
rz(0.0029) q[3];
ry(3.1437) q[4];
rz(0.0054) q[4];
ry(-0.0028) q[5];
rz(1.2156) q[5];
ry(-0.0027) q[6];
rz(0.0057) q[6];
ry(-0.0027) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
89d213db5d99a8088aae8fb8b9eebd4c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4095, 4094], "expectation_value": -34.523621479866286, "params": [[[-0.07440000000000001, 3.1627], [0.0016, -0.0123], [0.0023, 0.0019], [0.0018000000000000002, 0.002], [0.0023, 0.002], [-0.0025, -0.0027], [0.0019, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0023, 0.0021000000... | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(5)) + -2.0 * (Z(10) @ Z(8)) + -2... | 15 | 12 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0744) q[0];
ry(0.0016) q[1];
ry(0.0023) q[2];
ry(0.0018) q[3];
ry(0.0023) q[4];
ry(-0.0025) q[5];
ry(0.0019) q[6];
ry(0.0021) q[7];
ry(0.0019) q[8];
ry(0.0023) q[9];
ry(1.6419) q[10];
ry(-0.0019) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 12} | {"circuits": [], "gradients": []} |
4e1e131ba2ff0afb42d5840cf309482d | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 9], "expectation_value": -5.928827108084507, "params": [[0.0771, 0.07490000000000001, 0.0718], [-0.07100000000000001, -0.0704, -0.0771]], "bitstrings": ["10000000", "11110110"], "total_optimization_steps": 10, "probabilities": [0.02023576164629972, 0.027631694796387257], "optimization_time": 5.46174883... | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1928) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.3084) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.1542) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(-0.0386) q[7];
cx q[2], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
117d5eadcb002c843d1e10097e462227 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 26.342323780059814} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[1];
cry(0.2489) q[4], q[2];
cry(-0.148... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
864f213918e4b694952e53439a24874e | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [0, 281], "expectation_value": -6.159724551392007, "params": [-0.1754, 0.0085, -0.1452, 0.0024000000000000002, 0.23220000000000002, -0.029, 0.2442, -0.026000000000000002, 0.0089, 0.2791, -0.0012000000000000001, 0.3039, 0.0004, 0.3032, 0.0012000000000000001, 0.3012, -0.0181, 0.3024, 0.0067, 0.3085, 0.21100000... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 6 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.1754) q[0];
rz(0.0085) q[0];
rx(0.2322) q[1];
rz(-0.029) q[1];
rx(0.0089) q[2];
rz(0.2791) q[2];
rx(0.0004) q[3];
rz(0.3032) q[3];
rx(-0.0181) q[4];
rz(0.3024) q[4];
rx(0.211) q[5];
rz(-0.0258) q[5];
rx(0.2434) q[6];
rz(-0.0113) q[6];
rx(-0.0116) 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": 9} | {"circuits": [], "gradients": []} |
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