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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.5881276829737938, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 7.902020454406738} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[2], q[0];
cry(1.3762) q[2], q[1];
ry(0.6284) q[2];
cry(-0.6942) q[1], q[3];
cry(-0.6942) q[1], q[0];
cry(0.4129) q[1], q[2];
ry(0.2721) q[1];
cry(0.4028) q[3], q[0];
cry(0.4478) q[0], q[3]... | null | {"start_node": 0, "end_node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 25], "expectation_value": -3.996464085561465, "params": null, "bitstrings": ["001110", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634840431890607, 0.9303662506161934], "optimization_time": 13.957247495651245} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[5];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[1], q[2];
cry(-0.3789) q[1], q[0];
cry(0.2489) q[5], q[2];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1d36f605f450bd24c53bed4c61ab6422 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [49055, 47007], "expectation_value": -18.614774103272747, "params": [1.5736, 1.5598, 0.1952, 0.2785, 1.9838, 0.9399000000000001, -1.2516, -1.2359, 1.2312, 1.1862000000000001, 1.2214, 1.2058, 1.5135, 1.6204, 1.5784, 1.5555, 1.5719, 1.5744, 0.004, 0.0006000000000000001, 0.1014, 0.0555, 1.9775, 1.17190000000000... | -0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6... | 14 | 16 | 1 | {"smallest_eigenvalues": [-19.166666666666586], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.166666666666583, "smallest_bitstrings": ["0100100001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5736) q[0];
ry(0.1952) q[1];
ry(1.9838) q[2];
ry(-1.2516) q[3];
ry(1.2312) q[4];
ry(1.2214) q[5];
ry(1.5135) q[6];
ry(1.5784) q[7];
ry(1.5719) q[8];
ry(0.004) q[9];
ry(0.1014) q[10];
ry(1.9775) q[11];
ry(1.5451) q[12];
ry(1.564) q[13];
ry(1.5616) q[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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -4.578426851476142, "params": [[[0.9901000000000001, 0.002], [0.8203, 0.0082], [0.9881000000000001, 0.008400000000000001], [0.9881000000000001, 0.0098], [1.7990000000000002, 0.0098], [1.7957, 0.0074], [1.62, 0.0028]]], "bitstrings": ["1111001", "1111000"], "total_optimization_ste... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9901) q[0];
rz(0.002) q[0];
rx(0.8203) q[1];
rz(0.0082) q[1];
rx(0.9881) q[2];
rz(0.0084) q[2];
rx(0.9881) q[3];
rz(0.0098) q[3];
rx(1.799) q[4];
rz(0.0098) q[4];
rx(1.7957) q[5];
rz(0.0074) q[5];
rx(1.62) q[6];
rz(0.0028) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"k": 4} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.23692989349365234} | -1.0 * Z(0) | 1 | 1 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
ry(-1.5681) q[0];
c[0] = measure q[0]; | null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 1], "expectation_value": -7.944438089921207, "params": [[[0.007, -0.2706], [0.0011, 0.46280000000000004], [0.4676, 0.005], [0.0048000000000000004, 0.43520000000000003], [0.4665, 0.004200000000000001], [0.6036, 0.0013000000000000002]], [[0.003, 0.2896], [0.0051, 0.42460000000000003], [0.46430000000000005,... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.007) q[0];
rz(-0.2706) q[0];
rx(0.0011) q[1];
rz(0.4628) q[1];
rx(0.4676) q[2];
rz(0.005) q[2];
rx(0.0048) q[3];
rz(0.4352) q[3];
rx(0.4665) q[4];
rz(0.0042) q[4];
rx(0.6036) q[5];
rz(0.0013) q[5];
rx(0.003) q[0];
rz(0.2896) q[0];
rx(0.0051) q[1];
rz(0.42... | 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": []} |
-2144301067303883569 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 4, 7], [1, 2, 3, 4, 7], [0, 4, 5, 6], [1, 4, 6], [3, 6, 7], [1, 2, 5], [0, 1, 2, 3, 7], [1, 3, 5]]} | {"states": [242, 205], "expectation_value": -0.049818676908365896, "params": [[-0.048100000000000004], [0.0572]], "bitstrings": ["00001101", "00110010"], "total_optimization_steps": 10, "probabilities": [0.004046531220373732, 0.0040480833608001355], "optimization_time": 0.980349063873291} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2333333333333343], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(-0.0208) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0241) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0321) q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.016) q[0];
cx q[4], q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
3ea7bb05de4f5fdf541a2325d08fe198 | 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": [709, 837], "expectation_value": -95.01904647011719, "params": [-0.0022, 1.5624, 1.0704, -0.08750000000000001, 1.088, 0.5318, 0.9421, -0.1557, 1.252, 0.33840000000000003, -0.0028, 0.7474000000000001, 0.0006000000000000001, -1.2439, -0.0038, 1.038, 1.0485, 0.006200000000000001, 0.0016, 0.7462000000000001, 1.0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + -5.5 * Z(0) + 10.0 * Z(1) + 5.0 * Z(3) + -0.5 * Z(2) + 5.0 * Z(5) + 2.5 * Z(4) + 6.0 * Z(8) + -4.0 * Z(7) + 7.5 * Z(10) + -5.0 * Z(6) + -7.0 *... | 18 | 11 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["10010111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0022) q[0];
rz(1.5624) q[0];
rx(1.0704) q[1];
rz(-0.0875) q[1];
rx(1.088) q[2];
rz(0.5318) q[2];
rx(0.9421) q[3];
rz(-0.1557) q[3];
rx(1.252) q[4];
rz(0.3384) q[4];
rx(-0.0028) q[5];
rz(0.7474) q[5];
rx(0.0006) q[6];
rz(-1.2439) q[6];
rx(-0.0038) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
3c5cc977d7e35e081374f34765fcfaa3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 234], "expectation_value": -33.683188819401465, "params": [1.2737, 0.0057, 2.2984, 0.0012000000000000001, 2.2964, 0.0012000000000000001, 2.2954000000000003, 0.0054, 1.4905000000000002, 0.0079, 2.2936, 0.007, -0.0025, 0.01, 2.3077, 0.0023, 1.2695, 0.0074, 0.008400000000000001, 0.0023, 0.0013000000000000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 5.5 * Z(2) + 15.0 * Z(1) + 2.5 * Z(0) + 9.5 * Z(5) + 6.5 * Z(3) + 4.0 * Z(4) + 2.5 * Z(8) + 2.5 * Z(7) + -9.5 * Z(6) | 18 | 9 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2737) q[0];
rz(0.0057) q[0];
rx(2.2984) q[1];
rz(0.0012) q[1];
rx(2.2964) q[2];
rz(0.0012) q[2];
rx(2.2954) q[3];
rz(0.0054) q[3];
rx(1.4905) q[4];
rz(0.0079) q[4];
rx(2.2936) q[5];
rz(0.007) q[5];
rx(-0.0025) q[6];
rz(0.01) q[6];
rx(2.3077) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
6358d823634816a230e720ca61b6d85c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [114, 106], "expectation_value": -0.6085571804214231, "params": [[0.5312, 0.0036000000000000003, -0.003, 0.0015, -0.1971, -0.0082, -0.004, 0.003], [0.7783, -0.0035, -0.0021000000000000003, -0.4954, 0.7636000000000001, -0.021500000000000002, 0.0155, 0.7783], [0.001, 0.0017000000000000001, -0.49870000000000003... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(7)) + -0.25 *... | 9 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010101", "01010110", "01011100", "01010101", "11010010", "10110001", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.5312) q[0];
rx(0.0036) q[1];
rx(-0.003) q[2];
rx(0.0015) q[3];
rx(-0.1971) q[4];
rx(-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": []} |
a2ddde559fc9aeb004a8b74765861122 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3815, 3839], "expectation_value": -15.507739690236967, "params": null, "bitstrings": ["000100011000", "000100000000"], "total_optimization_steps": 100, "probabilities": [0.12446729836172477, 0.3724269386930424], "optimization_time": 260.75834250450134} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000100000000"]} | 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(1.5681) q[5], q[6];
cry(1.5708) q[6], q[4];
cry(1.2536) q[4], q[5];
cry(0.4771) q[4], q[6];
cry(1.5681) q[11], q[9];
ry(1.0829) q[11];
cry(1.5701) q[9], q[1... | null | {"node": 4} | {"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(1.5681) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
90caccd5a9bc4a2ae486cd28f2a54684 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [339, 214], "expectation_value": -15.280523614177255, "params": [[-0.0388, -0.0073], [0.0629, 0.0551]], "bitstrings": ["010101100", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006518016537889004, 0.00701553670436055], "optimization_time": 3.2396254539489746} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 9.5 * Z(0) + 6.0 * Z(1) + 17.5 * Z(2) + 7.0 * Z(4) + 0.5... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(-0.388) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.388) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.388) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.388) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [3, 7], "expectation_value": -14.602243673938357, "params": [-0.0032, 0.0, -0.0026000000000000003, 0.0029000000000000002, -0.0024000000000000002, 0.0025, -0.0027, 0.0006000000000000001, -0.0028, 0.4718, 0.8539, 2.7733000000000003, 1.0728, -0.0033, -1.8766, 0.0037, 2.2137000000000002, 0.0016, -0.0081, -0.0005... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 4 | 8 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0032) q[0];
rz(0) q[0];
rx(-0.0026) q[1];
rz(0.0029) q[1];
rx(-0.0024) q[2];
rz(0.0025) q[2];
rx(-0.0027) q[3];
rz(0.0006) q[3];
rx(-0.0028) q[4];
rz(0.4718) q[4];
rx(0.8539) q[5];
rz(2.7733) q[5];
rx(1.0728) q[6];
rz(-0.0033) q[6];
rx(-1.8766) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [19459, 19971], "expectation_value": -13.99149114460376, "params": [0.16570000000000001, 0.0002, 3.1602, 0.0067, 0.0024000000000000002, 0.0028, 0.0023, 0.0006000000000000001, 3.1614, 0.0098, 3.1597, 0.0034000000000000002, 1.5969, 0.0023, 1.5331000000000001, 0.0094, 0.002, 0.0063, 0.0023, 0.002900000000000000... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 3 | 16 | 1 | {"smallest_eigenvalues": [-14.499999999999797], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999974, "smallest_bitstrings": ["1011000111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.1657) q[0];
rz(0.0002) q[0];
rx(3.1602) q[1];
rz(0.0067) q[1];
rx(0.0024) q[2];
rz(0.0028) q[2];
rx(0.0023) q[3];
rz(0.0006) q[3];
rx(3.1614) q[4];
rz(0.0098) q[4];
rx(3.1597) q[5];
rz(0.0034) q[5];
rx(1.5969) q[6];
rz(0.0023) q[6];
rx(1.5331) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6b53821520b8398adfcfa3df8cd3d53d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [342, 406], "expectation_value": -83.0285346650759, "params": [0.0026000000000000003, 0.0026000000000000003, 1.5833000000000002, 1.5536, 0.999, 0.5856, 0.7654000000000001, 2.2168, 0.0048000000000000004, 0.0019, 1.2827, 1.8543, 0.129, -0.0717, 1.5474, 1.5889, 1.5432000000000001, 1.5944, 0.0076, -0.0128, -0.00... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(9)) + -5.5 * Z(0) + 7.5 * Z(1) + -1.0 * Z(2) + 3.0 * Z(3) + -2.5 * Z(4) + 4.5 * Z(6) + 7.5 * Z(5) + 17.0 * Z(7) + 2.5 * Z(9) + 8... | 14 | 10 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0026) q[0];
ry(1.5833) q[1];
ry(0.999) q[2];
ry(0.7654) q[3];
ry(0.0048) q[4];
ry(1.2827) q[5];
ry(0.129) q[6];
ry(1.5474) q[7];
ry(1.5432) q[8];
ry(0.0076) q[9];
crx(-0.0011) q[9], q[0];
crx(-0.0027) q[8], q[9];
crx(0.0024) q[7], q[8];
crx(2.047) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [431, 427], "expectation_value": -3.8430387534002453, "params": [0.8902, 0.1213, 0.9503, 0.1636, 0.46190000000000003, 0.3159, 0.9451, 0.202, 0.43570000000000003, 0.32630000000000003, 0.9424, 0.0714, 0.4797, 0.3321, 0.9294, 0.22460000000000002, 0.9308000000000001, 0.0442, 0.8785000000000001, 0.097300000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 18 | 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": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8902) q[0];
rz(0.1213) q[0];
rx(0.9503) q[1];
rz(0.1636) q[1];
rx(0.4619) q[2];
rz(0.3159) q[2];
rx(0.9451) q[3];
rz(0.202) q[3];
rx(0.4357) q[4];
rz(0.3263) q[4];
rx(0.9424) q[5];
rz(0.0714) q[5];
rx(0.4797) q[6];
rz(0.3321) q[6];
rx(0.9294) q[7];
rz(0.2... | 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} |
c835fa1e3e69cb531a622e34cffeb2bc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 178.29419589042664} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "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];
ry(23.9941) q[7];
ry(24.8661) q[1];
ry(-19.5034) q[5];
ry(125.7866) q[4];
ry(-5.4058) q[8];
cry(4.099) q[8], q[1];
cry(0.0697) q[8], q[4];
cry(22.5739) q[8], q[5];
ry(6.9979) q[2];
cry(0.6... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) 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] = ... |
b8aaab24da0004c3e40ded7e0da30763 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 15.098943710327148} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[2];
ry(-1.5681) q[1];
ry(-1.5486) q[5];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[6], q[4];
cry(-0.0222) q[6], q[5];
cry(-0.0016) q[6], q[0];
cry(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
fd56f218638d977dedda8f316e8ac831 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7},... | {"states": [2047, 1023], "expectation_value": -0.007074573099148884, "params": [[0.0078000000000000005], [-0.0035]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0004900441878813702, 0.0004900986147201472], "optimization_time": 2.740828275680542} | -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "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];
cx q[3], q[1];
rz(-0.0234) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0234) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.0078) q[2];
cx q[1], q[2];
cx q[6], q[4];
rz(-0.0234)... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3... | {"node": 0} | {"circuits": [], "gradients": []} |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [8, 936], "expectation_value": -15.06765708906808, "params": [[[0.0142, -0.003, 0.0076, 0.0025], [-0.0038, 0.4854, 0.0028, 0.7654000000000001], [-0.0017000000000000001, 2.4243, 0.0048000000000000004, -0.1512], [0.0002, -0.24550000000000002, 0.5601, -0.0059], [0.0016, 2.0999000000000003, -0.0076, -1.5646], [1... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 11 | 11 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0142) q[0];
rz(-0.003) q[0];
ry(-0.0038) q[1];
rz(0.4854) q[1];
ry(-0.0017) q[2];
rz(2.4243) q[2];
ry(0.0002) q[3];
rz(-0.2455) q[3];
ry(0.0016) q[4];
rz(2.0999) q[4];
ry(1.3923) q[5];
rz(-0.4738) q[5];
ry(0.003) q[6];
rz(2.4851) q[6];
ry(0.003) 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": 10} | {"circuits": [], "gradients": []} |
eb5d144c257f6bd1ff4f361fbd203471 | 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": [2580, 2612], "expectation_value": -112.94354858994008, "params": [[0.7894, -0.032600000000000004, 0.7917000000000001, -0.003, 0.006200000000000001, 0.17420000000000002, 0.3279, 0.7693, -0.011300000000000001, 0.7906000000000001, -0.12150000000000001, 0.0026000000000000003], [0.7916000000000001, -0.004, 0.788... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(4) @ Z(9)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(6)) + 4.0 * Z(1) + 13.5 * Z(0) + 16.5 * Z(2) + -7.5 * Z(3) + 1.5 * Z(5) + 9.5 * Z(... | 10 | 12 | 3 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.0, "smallest_bitstrings": ["010111001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7894) q[0];
ry(-0.0326) q[1];
ry(0.7917) q[2];
ry(-0.003) q[3];
ry(0.0062) q[4];
ry(0.1742) q[5];
ry(0.3279) q[6];
ry(0.7693) q[7];
ry(-0.0113) q[8];
ry(0.7906) q[9];
ry(-0.1215) q[10];
ry(0.0026) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
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[... | {"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": []} |
-4433607553057455287 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 1, 3], [4, 5], [1, 4], [1, 3, 5, 6], [0, 5], [2, 3, 6]]} | {"states": [120, 58], "expectation_value": -2.608081313044967, "params": null, "bitstrings": ["0000111", "1000101"], "total_optimization_steps": 49, "probabilities": [0.02108231070509464, 0.8320376124312621], "optimization_time": 61.8834547996521} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333335, "smallest_bitstrings": ["1000101"]} | 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(1.4074) q[3];
cry(-1.0342) q[5], q[4];
ry(0.7808) q[5];
cry(-1.3399) q[5], q[0];
cry(1.2946) q[5], q[1];
cry(-0.8279) q[1], q[4];
cry(1.3485) q[1], q[2];
cry(0.3861) q[3], q[5];
cry(-1.0139) q[2], q[6]... | 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(1.4074) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
f490a28ecdd83f85cb7689547a0eb0f1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 12.448770761489868} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.497) q[3], q[0];
cry(-0.3761) q[3], q[5];
cry(0.2474) q[1], q[0];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -22.408249239262943, "params": null, "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04964522535713507, 0.8088762612629546], "optimization_time": 226.08869338035583} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(18.1362) q[7];
ry(12.4878) q[3];
ry(0.0298) q[6];
cry(0.2634) q[5], q[3];
cry(0.3291) q[9], q[3];
cry(0.1964) q[8], q[3];
cry(0.1098) q[1], q[3];
cry(0.0585) q[0], q[3];
ry(0.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(18.1362) 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... |
5600790007c11249686a62a895eec735 | 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": [1482, 1418], "expectation_value": -90.74225009065427, "params": [0.1945, 0.1961, 0.598, 0.1063, 0.34090000000000004, 0.2076, 0.5991000000000001, 0.0117, 0.6016, 0.065, 0.3713, 0.1399, 0.0011, 0.37470000000000003, 0.2036, 0.2283, 0.605, 0.0126, 0.2454, 0.20700000000000002, 0.6023000000000001, 0.0065000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(9)) + 3.0 * Z(2) + 8.0 * Z(1) + 14.0 * Z(3) + 4.0 * Z(5) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["101001110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1945) q[0];
rz(0.1961) q[0];
rx(0.598) q[1];
rz(0.1063) q[1];
rx(0.3409) q[2];
rz(0.2076) q[2];
rx(0.5991) q[3];
rz(0.0117) q[3];
rx(0.6016) q[4];
rz(0.065) q[4];
rx(0.3713) q[5];
rz(0.1399) q[5];
rx(0.0011) q[6];
rz(0.3747) q[6];
rx(0.2036) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-7333735790520678795 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [30, 14], "expectation_value": -0.4953329273780308, "params": [[[1.5354, 0.0013000000000000002], [2.6046, 0.0036000000000000003], [2.6387, 0.0044], [2.6666000000000003, 0.001], [1.5182, 0.0016]]], "bitstrings": ["00001", "10001"], "total_optimization_steps": 270, "probabilities": [0.20909320318583696, 0.2244... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.5354) q[0];
rz(0.0013) q[0];
rx(2.6046) q[1];
rz(0.0036) q[1];
rx(2.6387) q[2];
rz(0.0044) q[2];
rx(2.6666) q[3];
rz(0.001) q[3];
rx(1.5182) q[4];
rz(0.0016) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [991, 989], "expectation_value": -6.752854989264593, "params": [0.1472, -0.5414, 0.0171, -0.6448, 0.8089000000000001, 0.0985, 0.9079, 0.11620000000000001, 0.7169, 0.131, 0.9736, 0.1709, 0.8201, 0.0629, 0.9708, 0.2489, 0.7559, 0.0838, 0.8882, 0.1034, 0.1384, -0.5888, 0.0046, -0.5892000000000001, 1.12190000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.1472) q[0];
rz(-0.5414) q[0];
rx(0.8089) q[1];
rz(0.0985) q[1];
rx(0.7169) q[2];
rz(0.131) q[2];
rx(0.8201) q[3];
rz(0.0629) q[3];
rx(0.7559) q[4];
rz(0.0838) q[4];
rx(0.1384) q[5];
rz(-0.5888) q[5];
rx(1.1219) q[6];
rz(0.1978) q[6];
rx(0.8014) 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] x11;
input float[64] x12;
inp... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [8, 3], "expectation_value": -0.5721091343249559, "params": [[-0.0577, -0.06770000000000001, -0.045000000000000005, -0.024300000000000002], [0.0575, 0.0753, 0.067, 0.056900000000000006]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.08095685421235105, 0.0969342689687558... | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0577) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0577) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0577) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0577) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0577) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 5], "expectation_value": -0.4063325816779754, "params": [[0.075, 0.0718, 0.0611], [-0.08370000000000001, -0.0816, -0.0683]], "bitstrings": ["110101", "111010"], "total_optimization_steps": 10, "probabilities": [0.022775956019062297, 0.023704762402749907], "optimization_time": 7.159773111343384} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | 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(0.0375) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0375) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0375) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0375) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
cf63e2458a0741acd2ef8c128602eb3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1786, 762], "expectation_value": -3.0306905815507856, "params": [0.4827, 0.3365, 0.8997, 0.09290000000000001, 0.202, 0.402, 0.896, 0.15130000000000002, 0.6824, 0.21780000000000002, 0.8961, 0.125, 0.8972, 0.0198, 0.9014000000000001, -0.0007, -0.002, 0.6685, 0.8979, 0.0103, 0.0838, -0.38730000000000003, 0.480... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 3 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00100100101", "00101000101", "00100010101", "00100010110", "10001000101", "00110... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4827) q[0];
rz(0.3365) q[0];
rx(0.8997) q[1];
rz(0.0929) q[1];
rx(0.202) q[2];
rz(0.402) q[2];
rx(0.896) q[3];
rz(0.1513) q[3];
rx(0.6824) q[4];
rz(0.2178) q[4];
rx(0.8961) q[5];
rz(0.125) q[5];
rx(0.8972) q[6];
rz(0.0198) q[6];
rx(0.9014) q[7];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -70.4372936905027, "params": [0.7753, -0.3784, 1.5855000000000001, 0.0029000000000000002, 1.5801, 0.0036000000000000003, 1.5803, -0.0027, 1.5824, 0.16870000000000002, 0.5920000000000001, 0.5372, 1.5837, 0.3073, 0.07350000000000001, 0.6885, 0.775, 0.007, 1.586, 0.0027, 1.58350... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7753) q[0];
rz(-0.3784) q[0];
rx(1.5855) q[1];
rz(0.0029) q[1];
rx(1.5801) q[2];
rz(0.0036) q[2];
rx(1.5803) q[3];
rz(-0.0027) q[3];
rx(1.5824) q[4];
rz(0.1687) q[4];
rx(0.592) q[5];
rz(0.5372) q[5];
rx(1.5837) q[6];
rz(0.3073) q[6];
rx(0.0735) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
cf6781246fc66f87fa6a567e8619e23b | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 22.512630939483643} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[3];
cry(-1.5626) q[6], q[0];
ry(1.1543) q[6];
ry(-0.5561) q[0];
cry(-1.5583) q[6], q[1];
ry(-1.5486) q[4];
cry(0.2163) q[2], q[6];
cry(-0.0808) q[2], q[0];
cry(0.3525) q[1]... | 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(-1.5706) 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", ... |
1f5d7944e50ebc48c654989c65672b6f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.9191847896505996, "params": [[0.0724, 0.07, 0.0523, 0.0736], [-0.0782, -0.07740000000000001, -0.0489, -0.0582]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.014152233074548281, 0.01833854817015092], "optimization_time": 6.567384... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0724) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1086) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0362) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.1448) q[7];
cx q[0], 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": []} |
5806915615886079839 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 10, 4], [5, 6], [9, 2, 7], [0, 9, 3], [0, 10], [9, 4], [8, 5], [0, 9, 7], [1, 10, 5], [3, 6], [9, 5, 7], [8, 9, 6], [1, 2], [3, 4, 7], [9, 3, 7], [8, 9, 7], [1, 3, 5], [2, 4, 7], [10, 6]]} | {"states": [471, 469], "expectation_value": -4.727571135604211, "params": [0.5618000000000001, 0.4486, 0.5425, 0.0044, 0.5675, -0.4884, 0.5568000000000001, 0.0055000000000000005, 1.3957000000000002, 0.0213, 1.3918000000000001, 0.0053, 1.3343, 0.0945, 1.254, 0.0041, 1.3961000000000001, 0.1255, 1.3915, 0.0006000000000000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + 0.1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5000000000000036, "smallest_bitstrings": ["11000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.5618) q[0];
rz(0.4486) q[0];
rx(0.5675) q[1];
rz(-0.4884) q[1];
rx(1.3957) q[2];
rz(0.0213) q[2];
rx(1.3343) q[3];
rz(0.0945) q[3];
rx(1.3961) q[4];
rz(0.1255) q[4];
rx(0.6459) q[5];
rz(-0.498) q[5];
rx(1.3928) q[6];
rz(0.0583) q[6];
rx(0.3226) 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": []} |
4d44127075c03392d0078723b3cb3352 | 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": 6}, {"capacity": 3, "source": 1, "target": 7}, {"capacity": 1, "source": 1, "target": 8}, {"capac... | {"states": [1, 3], "expectation_value": -16.932775649810953, "params": [-0.0984, 0.007500000000000001, -0.0878, 0.0179, -0.0037, 0.2288, 0.0007, 0.2242, 0.0012000000000000001, 0.2321, 0.0014, 0.2381, -0.0058000000000000005, 0.19010000000000002, 0.002, 0.23620000000000002, -0.0022, 0.1948, 0.0016, 0.23370000000000002, 0... | -1.25 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + -1.75 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(5)) + -1.25 * (Z(4)... | 6 | 10 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111001100", "1111111100", "1111101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0984) q[0];
rz(0.0075) q[0];
rx(-0.0037) q[1];
rz(0.2288) q[1];
rx(0.0012) q[2];
rz(0.2321) q[2];
rx(-0.0058) q[3];
rz(0.1901) q[3];
rx(-0.0022) q[4];
rz(0.1948) q[4];
rx(0.0114) q[5];
rz(0.2071) q[5];
rx(-0.0028) q[6];
rz(0.2199) q[6];
rx(0.0037) 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": []} |
3846759191086385968 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 7], [8, 9, 11, 5], [1, 11], [0, 1, 2, 3], [0, 8, 11], [9, 2, 3], [0, 8, 3, 6], [0, 4, 7, 8, 9], [0, 11, 6], [4, 5], [1, 6], [0, 6, 7], [9, 10, 11], [2, 11, 5, 7], [9, 10, 4], [3, 4, 6], [8, 2, 11], [1, 2, 9], [8, 9, 5, 6], [5, 6, 7, 9, 10], [8, 1, 4, ... | {"states": [3750, 3751], "expectation_value": -6.841803494255774, "params": [[[3.1444, 0.7762, 0.008700000000000001, 0.0023], [-0.002, -0.7762, -0.0017000000000000001, 0.0073], [1.5678, 0.002, 1.5723, 0.004], [1.6760000000000002, -0.0022, 1.4609, 0.0048000000000000004], [1.5684, 0.0023, 1.5732000000000002, 0.0027], [2.... | 0.5 * (Z(5) @ Z(9)) + 0.26666666666666666 * (Z(10) @ Z(9)) + 0.25 * (Z(10) @ Z(5)) + 0.18333333333333335 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(5)) + 0.35 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(9)) + 0.4666666666666666 * (Z(3) @ Z(10)) + 0.25 * (Z(3) @ Z(11)) + 0.18333333333333335 * (Z(7) @ Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-7.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.000000000000002, "smallest_bitstrings": ["000101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(3.1444) q[0];
rz(0.7762) q[0];
ry(-0.002) q[1];
rz(-0.7762) q[1];
ry(1.5678) q[2];
rz(0.002) q[2];
ry(1.676) q[3];
rz(-0.0022) q[3];
ry(1.5684) q[4];
rz(0.0023) q[4];
ry(2.2764) q[5];
rz(0.0026) q[5];
ry(1.5685) q[6];
rz(0.0022) q[6];
ry(0.7169) 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": []} |
0d24f2a57ba9d46e171f583242ee56f4 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.016311761438365265, "params": [[-0.0646], [0.0639]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.629479488434375e-05, 1.6294794884343768e-05], "optimization_time": 14.686229228973389} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029296875000000004 * (Z(4) @ Z(0)) + -0.0013671875000000001 * (Z(4) @ Z(2)) + 0.00029296875000000004 * (Z(5) @ Z(1)) + -0.0013671875000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00126953125 * (Z(6) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0220703124999595], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022070312499938, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0323) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
11cd2beb66d9af0f1795a09b2dc12b1f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [200, 216], "expectation_value": -5.488344562589885, "params": [0.3025, 0.0012000000000000001, 0.3, 0.0014, 0.3012, 0.0009000000000000001, 0.29910000000000003, 0.0029000000000000002, 0.0585, -0.037000000000000005, 0.0431, -0.0279, 0.3017, -0.0001, 0.3105, 0.0019, 0.3043, 0.0007, 0.3038, 0.0009000000000000001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3025) q[0];
rz(0.0012) q[0];
rx(0.3012) q[1];
rz(0.0009) q[1];
rx(0.0585) q[2];
rz(-0.037) q[2];
rx(0.3017) q[3];
rz(-0.0001) q[3];
rx(0.3043) q[4];
rz(0.0007) q[4];
rx(0.0399) q[5];
rz(-0.0932) q[5];
rx(0.0966) q[6];
rz(0.0053) q[6];
rx(0.2189) 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... | null | {"circuits": [], "gradients": []} |
-6828090552461688646 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [0, 1, 4, 5, 7], [2, 7], [1, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5], [3, 4, 7], [0, 1, 5, 6, 7], [1, 2, 3, 4, 6], [1, 2, 3, 5, 6]]} | {"states": [124, 252], "expectation_value": -2.0964850625110114, "params": null, "bitstrings": ["10000011", "00000011"], "total_optimization_steps": 49, "probabilities": [0.32317004705418717, 0.5829424890212864], "optimization_time": 76.74380421638489} | 0.3 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.13333333333333336 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333334 * (Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.133333333333334, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5486) q[1];
ry(1.2884) q[4];
cry(-0.9442) q[2], q[7];
ry(0.8082) q[2];
cry(-0.6775) q[3], q[7];
ry(0.7928) q[3];
cry(-0.3421) q[4], q[7];
cry(0.4978) q[1], q[2];
cry(-0.2142) q[1], q[7];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
4551088094349489485 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [172, 396], "expectation_value": -2.104373487850155, "params": null, "bitstrings": ["101010011", "001110011"], "total_optimization_steps": 64, "probabilities": [0.05475672349545503, 0.7978164913567045], "optimization_time": 100.86509728431702} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.2292) q[5];
cry(-1.0342) q[1], q[7];
ry(0.7191) q[1];
cry(-1.0342) q[0], q[3];
cry(-1.0342) q[6], q[4];
ry(0.7191) q[6];
ry(0.7003) q[0];
ry(-0.4711) q[7];
cry(0.4863) q[5], q[1];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) q[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] = m... |
ac718ec702dad3d5aab1392624435c47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [5, 511], "expectation_value": -0.45253271249773047, "params": [[0.0815], [-0.0881]], "bitstrings": ["1111111010", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0014183106269350337, 0.001427760779194988], "optimization_time": 2.825732469558716} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + 1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(7) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000000000", "1101111010", "1111111010", "1000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0815) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1222) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0408) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.1222) q[6];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-6303618358277399494 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [2, 4], [3, 5]]} | {"states": [35, 41], "expectation_value": -0.00815816560184313, "params": [[0.0318], [-0.0322]], "bitstrings": ["011100", "010110"], "total_optimization_steps": 10, "probabilities": [0.0158811149292656, 0.0158811149292656], "optimization_time": 0.3858370780944824} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["010110", "100011", "011100", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0318) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0318) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.0318) q[2];
cx q[4], q[2];
cx q[3], q[5];
rz(0.0318) q[5];
cx q[3], q[5];
rz(0) q[3];
rz(0) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
840201519441692596 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 7], [0, 6], [2, 6], [4, 6], [2, 4], [5, 7], [2, 5], [5, 6], [4, 7], [1, 3]]} | {"states": [115, 51], "expectation_value": -0.322486304822701, "params": [0.6967, 0.0414, 0.6942, 0.0058000000000000005, 0.6893, 0.08070000000000001, 0.6596000000000001, 0.0077, 0.7066, -0.020200000000000003, 0.7060000000000001, 0.0029000000000000002, 0.7069000000000001, -0.0262, 0.7055, 0.009600000000000001, 0.6953, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11001100", "00110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6967) q[0];
rz(0.0414) q[0];
rx(0.6893) q[1];
rz(0.0807) q[1];
rx(0.7066) q[2];
rz(-0.0202) q[2];
rx(0.7069) q[3];
rz(-0.0262) q[3];
rx(0.6953) q[4];
rz(0.0154) q[4];
rx(0.7003) q[5];
rz(0.0145) q[5];
rx(0.7072) q[6];
rz(-0.0244) q[6];
rx(0.6996) 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": []} |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [38, 50], "expectation_value": -0.5023187110553321, "params": [[-0.0661, -0.0748], [0.06720000000000001, 0.0724]], "bitstrings": ["011001", "001101"], "total_optimization_steps": 10, "probabilities": [0.021320437379182336, 0.02132043737918235], "optimization_time": 2.4941439628601074} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0661) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0661) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0661) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0661) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -0.6011771402521335, "params": [[0.07400000000000001, 0.075], [-0.06280000000000001, -0.0734]], "bitstrings": ["110001", "010101"], "total_optimization_steps": 10, "probabilities": [0.02069891851217343, 0.02069891851217343], "optimization_time": 2.779832363128662} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.074) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.074) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.074) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.074) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.074) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
c4fd4922d2c165ab37a0955c733d543f | matching | vqe | {"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": [111, 109], "expectation_value": -62.272277698867015, "params": [0.1655, 0.5302, 1.0490000000000002, -0.0076, 1.0598, 0.1627, 0.1072, 0.6025, 1.0551000000000001, -0.0048000000000000004, 1.1054000000000002, 0.10930000000000001, 0.5077, 0.3385, 1.0644, 0.21300000000000002, 0.165, 0.4874, 1.0618, -0.01100000000... | 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 * ... | 18 | 8 | 3 | {"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;
rx(0.1655) q[0];
rz(0.5302) q[0];
rx(1.049) q[1];
rz(-0.0076) q[1];
rx(1.0598) q[2];
rz(0.1627) q[2];
rx(0.1072) q[3];
rz(0.6025) q[3];
rx(1.0551) q[4];
rz(-0.0048) q[4];
rx(1.1054) q[5];
rz(0.1093) q[5];
rx(0.5077) q[6];
rz(0.3385) q[6];
rx(1.0644) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
800cd4d4c06790d43fc971db5726f854 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [198, 199], "expectation_value": -3.050688271991219, "params": [0.8099000000000001, -0.0025, 0.8062, 0.0063, 0.1724, 0.4707, -0.01, 0.5247, 0.0918, -0.2883, 0.8027000000000001, -0.1042, 0.8107000000000001, 0.0015, 0.7975, 0.0022, 0.8041, 0.0009000000000000001, 0.8053, 0.0047, 0.17070000000000002, 0.008400000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(5) + -0.5 * Z(7) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8099) q[0];
rz(-0.0025) q[0];
rx(0.8062) q[1];
rz(0.0063) q[1];
rx(0.1724) q[2];
rz(0.4707) q[2];
rx(-0.01) q[3];
rz(0.5247) q[3];
rx(0.0918) q[4];
rz(-0.2883) q[4];
rx(0.8027) q[5];
rz(-0.1042) q[5];
rx(0.8107) q[6];
rz(0.0015) q[6];
rx(0.7975) 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": []} |
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, 7], "expectation_value": -0.5260948462666188, "params": [[[1.2681, 0.0077], [1.2951000000000001, 0.0057], [1.5234, 0.006200000000000001], [1.6989, 0.006200000000000001], [1.6894, 0.0068000000000000005], [1.6889, 0.0044]]], "bitstrings": ["110000", "111000"], "total_optimization_steps": 170, "probabiliti... | 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 | 1 | {"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(1.2681) q[0];
rz(0.0077) q[0];
rx(1.2951) q[1];
rz(0.0057) q[1];
rx(1.5234) q[2];
rz(0.0062) q[2];
rx(1.6989) q[3];
rz(0.0062) q[3];
rx(1.6894) q[4];
rz(0.0068) q[4];
rx(1.6889) q[5];
rz(0.0044) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.996515537770063, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 22, "probabilities": [0.06700898087125177, 0.9297460398076854], "optimization_time": 11.792485475540161} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[5], q[3];
ry(0.7022) q[5];
ry(-0.4578) q[3];
cry(0.497) q[4], q[5];
cry(-0.3761) q[4], q[3];
cry(0.2474) q[1], q[5];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 50.20123791694641} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[3];
cry(1.5708) q[4], q[2];
cry(1.5707) q[5], q[1];
ry(0.614) q[5];
cry(-1.5394) q[5], q[0];
cry(0.3623) q[2], q[1];
cry(0.5361) q[1], q[5];
cry(0.1049) q[1], q[2];
ry(0.23) q[4];
cry(0.1174) q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
6ebf37fc1eb45c0339996675a349b6a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [105, 109], "expectation_value": -40.57465206689096, "params": [[[0.4806, 0.2097], [0.6924, 0.2858], [0.6933, 0.3917], [0.28350000000000003, 0.28300000000000003], [0.5825, 0.2614], [0.6718000000000001, 0.2548], [0.339, 0.032], [0.048100000000000004, 0.6923]], [[0.42150000000000004, 0.6757000000000001], [0.69... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.0 * Z(0) + 13.5 * Z(2) + 8.5 * Z(4) + 11.0 * Z(3) + 5.5 * Z(5) + 4.0 * Z(6) + 8.5 * Z(7) | 15 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4806) q[0];
ry(0.6924) q[1];
ry(0.6933) q[2];
ry(0.2835) q[3];
ry(0.5825) q[4];
ry(0.6718) q[5];
ry(0.339) q[6];
ry(0.0481) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
76157b1d41d620316091227a24617acb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 22], "expectation_value": -4.556785509535232, "params": [-0.0024000000000000002, 0.10060000000000001, -0.001, 0.10360000000000001, 0.0037, 0.1178, -0.0027, 0.1124, 0.1971, 0.0441, 0.2028, 0.0477, 0.1968, 0.0594, 0.2036, 0.0529, 0.0022, 0.10060000000000001, 0.0019, 0.1052, 0.20400000000000001, 0.00310000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["11011010", "11101001", "11100011", "11101010", "10011101", "11011001", "01110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0024) q[0];
rz(0.1006) q[0];
rx(0.0037) q[1];
rz(0.1178) q[1];
rx(0.1971) q[2];
rz(0.0441) q[2];
rx(0.1968) q[3];
rz(0.0594) q[3];
rx(0.0022) q[4];
rz(0.1006) q[4];
rx(0.204) q[5];
rz(0.0031) q[5];
rx(0.194) q[6];
rz(-0.0009) q[6];
rx(0.1009) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-8724236009168458715 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2, 3], [0, 2, 3]]} | {"states": [1, 3], "expectation_value": -0.45665024088846684, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 17, "probabilities": [0.09375511611924198, 0.44013947087863636], "optimization_time": 9.485742807388306} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(1) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666666, -0.6666666666666666, -0.6666666666666666], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.3333333333333335, "smallest_bitstrings": ["1100", "0010", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.2292) q[3];
cry(-0.3842) q[2], q[1];
cry(-0.3842) q[2], q[0];
ry(0.346) q[2];
cry(-0.2438) q[1], q[2];
cry(-0.2229) q[0], q[2];
cry(0.1795) q[3], q[2];
cry(-0.1834) q[3], q[0];
cry(-0.182) q[3], q[1];
cry(0.1318) q[2], 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(1.2292) 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];\n... |
a580e4976632c242f00336b6365a3eca | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [469, 213], "expectation_value": -66.70440917297631, "params": [0.7477, -0.3896, 1.4976, -0.0021000000000000003, 1.498, 0.3598, 0.2043, 0.929, 1.5048000000000001, 0.2399, -0.0032, 0.8918, 1.5023, 0.37020000000000003, 0.2962, 0.8105, 1.496, -0.111, 0.7484000000000001, 0.005, 1.499, 0.0028, 1.4946000000000002,... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 9.0 * Z(2) + 12.5 * Z(1) + 1.0 * Z(3) + 6.0 * Z(4) + -3.0 * Z(5) + 9.5 * Z(8) + 2.5 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7477) q[0];
rz(-0.3896) q[0];
rx(1.4976) q[1];
rz(-0.0021) q[1];
rx(1.498) q[2];
rz(0.3598) q[2];
rx(0.2043) q[3];
rz(0.929) q[3];
rx(1.5048) q[4];
rz(0.2399) q[4];
rx(-0.0032) q[5];
rz(0.8918) q[5];
rx(1.5023) q[6];
rz(0.3702) q[6];
rx(0.2962) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
2118e7478ab1e46952c46b0af5fe079f | 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": [423, 295], "expectation_value": -68.36558692041096, "params": [[[0.27740000000000004, -0.0013000000000000002], [1.0695000000000001, -0.0021000000000000003], [0.28950000000000004, -0.0011], [-0.0056, 0.0032], [1.0977000000000001, 0.44010000000000005], [-0.1438, 0.4592], [0.1303, -0.0424], [0.8795000000000001... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(6)) + 10.0 * Z(1) + -5.5 * Z(0) + 12.0 * Z(2) + 6.5 * Z(4) + -2.0 * Z(3) + -3.5 * Z(5) + 13.5 * Z(7) + 0.5 * Z(6) + 8.5 * Z(8) +... | 15 | 10 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1011011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2774) q[0];
ry(1.0695) q[1];
ry(0.2895) q[2];
ry(-0.0056) q[3];
ry(1.0977) q[4];
ry(-0.1438) q[5];
ry(0.1303) q[6];
ry(0.8795) q[7];
ry(0.6282) q[8];
ry(0.1696) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
8412646104141763826 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 10, 12], [3, 5, 7, 10, 11], [1, 3, 4, 5, 11, 12], [1, 5, 7, 11, 12], [2, 3, 7, 8, 9, 10, 12], [0, 3, 4, 5, 8, 9, 10, 11, 12], [0, 1, 2, 3, 6, 7, 8, 9], [0, 1, 3, 4, 5, 7, 8, 9, 10, 12], [1, 2, 5, 9], [0, 1, 2, 6, 7, 9, 10, 11]... | {"states": [3070, 2942], "expectation_value": -3.3041740867250553, "params": [0.49210000000000004, 0.4465, 0.4858, 0.0018000000000000002, 1.3625, -0.023100000000000002, 1.3834, -0.47800000000000004, 0.4953, 0.4716, 0.49050000000000005, 0.0033, 1.3712, -0.0431, 1.2983, 0.053000000000000005, 1.3673, 0.0008, 1.3742, 0.003... | 0.14285714285714288 * (Z(0) @ Z(1)) + 0.17738095238095236 * (Z(2) @ Z(1)) + 0.11785714285714285 * (Z(2) @ Z(0)) + 0.15833333333333335 * (Z(3) @ Z(1)) + 0.19444444444444445 * (Z(3) @ Z(0)) + 0.1376984126984127 * (Z(3) @ Z(2)) + 0.09325396825396826 * (Z(4) @ Z(1)) + 0.11150793650793653 * (Z(4) @ Z(0)) + 0.062698412698412... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.8071428571428574], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8035714285714284, "smallest_bitstrings": ["1010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.4921) q[0];
rz(0.4465) q[0];
rx(1.3625) q[1];
rz(-0.0231) q[1];
rx(0.4953) q[2];
rz(0.4716) q[2];
rx(1.3712) q[3];
rz(-0.0431) q[3];
rx(1.3673) q[4];
rz(0.0008) q[4];
rx(0.5681) q[5];
rz(-0.4921) q[5];
rx(1.2056) q[6];
rz(-0.0021) q[6];
rx(1.3222) 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": []} |
fb8dcd1d9662770600b2a58ea2467525 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [0, 1023], "expectation_value": -20.129539228594176, "params": [[[-0.0023, 1.6032000000000002], [-0.0017000000000000001, 0.0019], [-0.0026000000000000003, -0.002], [0.0022, 0.002], [0.0018000000000000002, 0.002], [0.0022, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0022, 0.002], [0.0019, 0.002... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 1.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0023) q[0];
ry(-0.0017) q[1];
ry(-0.0026) q[2];
ry(0.0022) q[3];
ry(0.0018) q[4];
ry(0.0022) q[5];
ry(0.0024) q[6];
ry(0.0022) q[7];
ry(0.0019) q[8];
ry(0.0025) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 9} | {"circuits": [], "gradients": []} |
7033307588057999823 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 4, 5, 6, 8, 10, 11], [1, 2, 3, 4, 5, 6, 9, 11], [0, 1, 2, 3, 5, 6, 10], [1, 5, 6, 7, 8, 10, 11], [2, 4, 7, 9, 10], [3, 4, 5, 10, 11], [2, 3, 4, 6, 8, 10], [0, 3, 4, 6, 7, 8, 9, 11], [4, 6, 7, 10, 11], [1, 3, 5, 6, 8]]} | {"states": [3993, 4057], "expectation_value": -1.8537809172651893, "params": [[[3.1390000000000002, 0.0074], [3.1387, 0.0086], [3.1438, 0.0002], [3.1392, 0.0079], [3.1387, 0.006900000000000001], [1.6695, 0.0088], [-0.0032, 0.0044], [3.1395, 0.0024000000000000002], [3.144, 0.0085], [0.0016, 0.0071], [0.0022, 0.0098], [3... | 0.037698412698412696 * (Z(0) @ Z(1)) + 0.05555555555555555 * (Z(2) @ Z(1)) + 0.037698412698412696 * (Z(2) @ Z(0)) + 0.031746031746031744 * (Z(4) @ Z(1)) + 0.031746031746031744 * (Z(4) @ Z(0)) + 0.11507936507936509 * (Z(4) @ Z(2)) + 0.12936507936507935 * (Z(5) @ Z(1)) + 0.037698412698412696 * (Z(5) @ Z(0)) + 0.055555555... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.9047619047619053], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8869047619047628, "smallest_bitstrings": ["000000100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.139) q[0];
rz(0.0074) q[0];
rx(3.1387) q[1];
rz(0.0086) q[1];
rx(3.1438) q[2];
rz(0.0002) q[2];
rx(3.1392) q[3];
rz(0.0079) q[3];
rx(3.1387) q[4];
rz(0.0069) q[4];
rx(1.6695) q[5];
rz(0.0088) q[5];
rx(-0.0032) q[6];
rz(0.0044) q[6];
rx(3.1395) 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": []} |
f59367e04a816e53fe2d358b99ca0dcd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capac... | {"states": [11, 43], "expectation_value": -6.608208343829195, "params": [[0.15910000000000002], [-0.1695]], "bitstrings": ["1111110100", "1111010100"], "total_optimization_steps": 20, "probabilities": [0.006461005413307509, 0.006515050222431661], "optimization_time": 3.442060947418213} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + -2.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + 3.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111010100", "1111110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.2387) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.2387) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.2387) q[6];
cx q[0], q[6];
cx q[5], q[6];
rz(-0.3182) q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
2ef0efeae8588cdbd1c23c8accb74fcd | 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": [207, 143], "expectation_value": -76.26788795564119, "params": [0.1316, 0.1317, 0.0036000000000000003, 0.0016, 0.398, 0.39640000000000003, 0.15180000000000002, 0.1492, 0.0019, 0.0059, 0.0872, 0.0886, 0.3916, 0.3931, 0.38530000000000003, 0.38820000000000005, 0.38320000000000004, 0.384, 0.3825, 0.3855, 0.1221,... | 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 8.0 * Z(2) + 7.0 * Z(3) + 12.5 * Z(6) + 2.5 * Z(5) + 9.5 * Z(7) + 3.5 * Z(0) + 16.0 * Z(8) + 13.5 * ... | 13 | 10 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["1101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1316) q[0];
ry(0.0036) q[1];
ry(0.398) q[2];
ry(0.1518) q[3];
ry(0.0019) q[4];
ry(0.0872) q[5];
ry(0.3916) q[6];
ry(0.3853) q[7];
ry(0.3832) q[8];
ry(0.3825) q[9];
crz(0.0783) q[9], q[0];
crz(0.007) q[8], q[9];
crz(0.009) q[7], q[8];
crz(-0.0298) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
148c98be54f48380a1d59caea5fb9c95 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.240089222589773, "params": [0.004, 0.44020000000000004, 0.0025, -0.5631, 0.0027, 0.6061000000000001, 0.0023, 0.5910000000000001, 0.0025, -0.3398, 0.0024000000000000002, -0.5885, 0.0028, 0.6061000000000001, 0.8053, 0.0053, 0.0034000000000000002, 0.0088, 0.0025, 0.0099, 0.0027,... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.004) q[0];
rz(0.4402) q[0];
rx(0.0025) q[1];
rz(-0.5631) q[1];
rx(0.0027) q[2];
rz(0.6061) q[2];
rx(0.0023) q[3];
rz(0.591) q[3];
rx(0.0025) q[4];
rz(-0.3398) q[4];
rx(0.0024) q[5];
rz(-0.5885) q[5];
rx(0.0028) q[6];
rz(0.6061) q[6];
rx(0.8053) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2114723939746209885 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [2, 5], [3, 4, 6], [0, 3, 4, 7], [1, 2, 3, 7], [0, 1, 3, 4]]} | {"states": [151, 235], "expectation_value": -0.6317130328046949, "params": [[-0.2994], [0.29550000000000004]], "bitstrings": ["01101000", "00010100"], "total_optimization_steps": 30, "probabilities": [0.008306244349300999, 0.008311459271197539], "optimization_time": 17.32313823699951} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["10100010", "00010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[4];
rz(-0.0998) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.0998) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(-0.1996) q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(-0.2994) q[2];
cx q[5], q[2];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[4];
r... | null | {"circuits": [], "gradients": []} |
5168c0237f544101c4f064af80abb64b | 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": [467, 403], "expectation_value": -70.15558253382491, "params": [[[1.1964000000000001, 0.2459], [1.2015, 0.0974], [1.2055, 0.1169], [0.5658000000000001, 0.3392], [0.0161, 0.1706], [1.0041, 0.6601], [0.0155, 1.0293], [-0.2837, 1.1181], [0.3007, 0.5478000000000001], [-0.2409, 0.17]], [[1.1044, 0.0064], [1.20230... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(6)) + 7.5 * Z(1) + 0.5 * Z(0) + 8.5 * Z(2) + 4.5 * Z(3) + 14.0 * Z(5) + -6.5 * Z(4) + 3.0 * Z(6) + 2.5 * Z(8) + -2.5 * Z(7) + 10... | 15 | 10 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1001101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1964) q[0];
ry(1.2015) q[1];
ry(1.2055) q[2];
ry(0.5658) q[3];
ry(0.0161) q[4];
ry(1.0041) q[5];
ry(0.0155) q[6];
ry(-0.2837) q[7];
ry(0.3007) q[8];
ry(-0.2409) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [17, 18], "expectation_value": -4.440142703922699, "params": [[0.068, 0.060700000000000004, 0.035500000000000004, 0.0473], [-0.08220000000000001, -0.08600000000000001, -0.0616, -0.06520000000000001]], "bitstrings": ["01110", "01101"], "total_optimization_steps": 10, "probabilities": [0.07673168622486563, 0.0... | 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) | 10 | 5 | 4 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.238) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.238) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.238) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.238) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.272) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
4157055762221462676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [1, 2, 3, 5], [0, 2, 4, 5, 7], [0, 1, 3], [1, 2, 4, 5, 7, 8], [5, 6], [0, 1, 2, 4, 8], [2, 3, 6, 7, 8], [0, 6], [0, 1, 4, 5, 7, 8], [2, 4, 6, 7]]} | {"states": [315, 459], "expectation_value": -1.430069286678417, "params": [[0.3778], [-0.3735]], "bitstrings": ["011000100", "000110100"], "total_optimization_steps": 40, "probabilities": [0.00860855558814723, 0.008821341608993056], "optimization_time": 2.5101802349090576} | 0.16666666666666669 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.16666666666666669 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(6)) + 0.16666666666666669 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.883333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333335, "smallest_bitstrings": ["000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[1];
rz(0.1259) q[1];
cx q[4], q[1];
cx q[4], q[6];
rz(0.1007) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(0.0378) q[6];
cx q[1], q[6];
cx q[4], q[7];
rz(0.1889) q[7];
cx q[4], 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": []} |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.2808455258224, "params": [[[-0.0022, 0.008700000000000001], [3.1447000000000003, 0.006200000000000001], [-0.0026000000000000003, 0.0085], [1.5914000000000001, 0.0057], [-0.0024000000000000002, 0.0007], [-0.0026000000000000003, 0.0045000000000000005], [3.1434, 0.008700000000... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0022) q[0];
rz(0.0087) q[0];
rx(3.1447) q[1];
rz(0.0062) q[1];
rx(-0.0026) q[2];
rz(0.0085) q[2];
rx(1.5914) q[3];
rz(0.0057) q[3];
rx(-0.0024) q[4];
rz(0.0007) q[4];
rx(-0.0026) q[5];
rz(0.0045) q[5];
rx(3.1434) q[6];
rz(0.0087) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [20, 28], "expectation_value": -1.8750274864464591, "params": [[[0.6106, 0.0004], [0.6032000000000001, -0.0041], [0.6063000000000001, 0.0022], [0.00030000000000000003, 0.2864], [-0.0086, -0.2857]], [[0.61, 0.0004], [0.608, -0.0041], [0.609, 0.0022], [-0.0013000000000000002, 0.2862], [-0.0033, -0.2859]], [[0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.6106) q[0];
rz(0.0004) q[0];
rx(0.6032) q[1];
rz(-0.0041) q[1];
rx(0.6063) q[2];
rz(0.0022) q[2];
rx(0.0003) q[3];
rz(0.2864) q[3];
rx(-0.0086) q[4];
rz(-0.2857) q[4];
rx(0.61) q[0];
rz(0.0004) q[0];
rx(0.608) q[1];
rz(-0.0041) q[1];
rx(0.609) q[2];
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": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 23.023730278015137} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(0.1187) q[1], q[5];
cry(0.1188) q[5], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[5], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
aacaa96485aecd447212f3a2ddad723b | 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": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [1, 129], "expectation_value": -10.624915013515, "params": [-0.003, 0.0006000000000000001, 1.584, 0.0086, 0.0027, 0.0038, 1.1639000000000002, 0.0037, 0.0023, 0.0063, -0.0025, 0.0067, 0.0027, 0.0032, 0.0027, 0.0078000000000000005, 1.6046, 0.0071, 0.0056, 0.004, 0.0053, 0.0009000000000000001, 0.0067, 0.0003000... | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 3 | 9 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.003) q[0];
rz(0.0006) q[0];
rx(1.584) q[1];
rz(0.0086) q[1];
rx(0.0027) q[2];
rz(0.0038) q[2];
rx(1.1639) q[3];
rz(0.0037) q[3];
rx(0.0023) q[4];
rz(0.0063) q[4];
rx(-0.0025) q[5];
rz(0.0067) q[5];
rx(0.0027) q[6];
rz(0.0032) q[6];
rx(0.0027) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 171], "expectation_value": -2.2013967690387943, "params": null, "bitstrings": ["11000110", "01010100"], "total_optimization_steps": 70, "probabilities": [0.237433390966907, 0.3490305674890666], "optimization_time": 130.1718544960022} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.3016) q[7], q[5];
cry(-1.3016) q[4], q[1];
cry(-1.1919) q[3], q[0];
ry(1.1724) q[2];
ry(0.5597) q[4];
ry(-0.4012) q[1];
cry(0.4962) q[2], q[4];
cry(-0.2863) q[2], q[1];
cry(-0.428) q[6], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.3016) 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[5] = measure q[5];\nc[6] = me... |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [158, 179], "expectation_value": -0.11726566694827706, "params": [[-0.013800000000000002, -0.047400000000000005, -0.0509], [-0.0354, 0.044000000000000004, 0.057800000000000004]], "bitstrings": ["01100001", "01001100"], "total_optimization_steps": 10, "probabilities": [0.00487696184010715, 0.00487696184010715... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"]} | 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(-0.0138) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0069) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0069) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0069) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 191.9742729663849} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.5995) q[4];
ry(9.6748) q[6];
ry(63.1148) q[3];
ry(-2.4156) q[7];
ry(62.981) q[5];
ry(22.2003) q[1];
cry(19.3644) q[4], q[5];
cry(29.5585) q[5], q[4];
ry(1.3799) q[8];
cry(5.3523) q[8]... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.5995) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
21fb824db9d4571acc6db752df147323 | 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": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -10.306272245609968, "params": [[-0.0489], [0.0723]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.004211562471511761, 0.004558495049167375], "optimization_time": 1.881596565246582} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4401) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4401) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4401) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.4401) q[3];
cx q[0], 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-7617992486514997469 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 6], [3, 6], [2, 4], [4, 5], [1, 7], [1, 3], [1, 6], [2, 6], [3, 5], [0, 6], [2, 3], [2, 7], [5, 6], [3, 7], [5, 7]]} | {"states": [27, 228], "expectation_value": -0.1674731804305617, "params": [[-0.0718], [0.07540000000000001]], "bitstrings": ["11100100", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004790657182606356, 0.004790657182606356], "optimization_time": 2.515582799911499} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00011011", "11100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0718) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0718) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.0718) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(-0.0718) 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[6]... | 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": 2.123713493347168} | 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 | 3 | {"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) ... |
-7337701157855719165 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 5, 7], [2, 3, 5, 6], [1, 2]]} | {"states": [55, 53], "expectation_value": -0.9650559994775921, "params": [1.0911, -0.3851, 0.9873000000000001, 0.0015, 0.42410000000000003, 0.513, 0.4181, 0.0098, 1.1971, -0.13920000000000002, 1.1943000000000001, 0.0089, 1.1972, 0.2827, 1.0613000000000001, 0.00030000000000000003, 0.3885, -0.4549, 0.3922, 0.001700000000... | 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["11011000", "01010001", "01001100", "01000011",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0911) q[0];
rz(-0.3851) q[0];
rx(0.4241) q[1];
rz(0.513) q[1];
rx(1.1971) q[2];
rz(-0.1392) q[2];
rx(1.1972) q[3];
rz(0.2827) q[3];
rx(0.3885) q[4];
rz(-0.4549) q[4];
rx(1.201) q[5];
rz(-0.1659) q[5];
rx(1.1933) q[6];
rz(0.2859) q[6];
rx(1.207) 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": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [12, 6], "expectation_value": -0.4576465979322871, "params": [[-0.0748, -0.07200000000000001, -0.0627], [0.0745, 0.0758, 0.07060000000000001]], "bitstrings": ["10011", "11001"], "total_optimization_steps": 10, "probabilities": [0.045157118921066074, 0.04515711892106613], "optimization_time": 2.99376630783081... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0748) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0748) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0748) q[4];
cx q[2], q[4];
cx q[3], q[4];
rz(-0.0748) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0748) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} |
-1912021998129624574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 6], [2, 5, 7], [8, 0, 2], [1, 4, 7], [1, 6], [0, 5, 7], [1, 3, 4]]} | {"states": [498, 374], "expectation_value": -2.3720409451375764, "params": null, "bitstrings": ["000001101", "010001001"], "total_optimization_steps": 54, "probabilities": [0.06362545123398916, 0.8543902416153543], "optimization_time": 78.13463091850281} | 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["010001001"]} | 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(1.4449) q[4];
ry(1.2317) q[7];
cry(-1.2174) q[6], q[1];
ry(0.7608) q[6];
cry(-0.5208) q[4], q[1];
cry(0.5064) q[4], q[6];
ry(-0.2918) q[1];
ry(0.7958) q[2];
cry(0.6928) q[6], q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
f490a28ecdd83f85cb7689547a0eb0f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.18239670439049344, "params": [[0.006500000000000001, 0.0437, 0.0313, 0.0375], [0.0329, -0.042300000000000004, -0.032600000000000004, -0.0342]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.01887576315352147, 0.018875763153521477], "... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0065) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0065) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(0.0065) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(0.0065) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(0.0065... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
8ea4bcc4df3e10de0c557d9b64e2ab10 | 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": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -16.530103968731716, "params": [-0.5121, 0.004200000000000001, 0.4002, 0.0041, 0.0043, 1.1554, 0.0036000000000000003, 0.0051, 1.0287, 0.0026000000000000003, -0.5830000000000001, 0.0022, 1.0235, 0.0071, -0.42700000000000005, 0.007, 0.0044, 1.7775, 0.0028, 0.0028, 0.0041, 1.7558,... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.5121) q[0];
rz(0.0042) q[0];
rx(0.0043) q[1];
rz(1.1554) q[1];
rx(1.0287) q[2];
rz(0.0026) q[2];
rx(1.0235) q[3];
rz(0.0071) q[3];
rx(0.0044) q[4];
rz(1.7775) q[4];
rx(0.0041) q[5];
rz(1.7558) q[5];
rx(0.0065) q[6];
rz(1.9017) q[6];
rx(0.0082) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-3577728562633297950 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 5], [1, 6], [2, 4, 5], [1, 2], [3, 4], [0, 6]]} | {"states": [102, 27], "expectation_value": -0.8860319462464481, "params": [[0.3794], [-0.3729]], "bitstrings": ["0011001", "1100100"], "total_optimization_steps": 40, "probabilities": [0.03184638419201513, 0.03196398105389073], "optimization_time": 2.05354642868042} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100100"]} | 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(0.0632) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0632) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0632) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.1897) q[5];
cx q[2], q[5];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} |
-4147486941807655039 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [4, 5], [1, 2, 4], [5, 7], [2, 3, 5], [0, 5], [8, 4], [1, 6], [8, 1, 2, 7], [4, 6], [0, 2, 3, 4], [0, 2, 3, 7], [1, 5]]} | {"states": [109, 434], "expectation_value": -0.10441897432147318, "params": [[0.0699], [-0.0644]], "bitstrings": ["110010010", "001001101"], "total_optimization_steps": 10, "probabilities": [0.002194324826162523, 0.0022249705704411003], "optimization_time": 2.885756015777588} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7500000000000004, "smallest_bitstrings": ["001001101"]} | 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[5];
rz(0.0699) q[5];
cx q[6], q[5];
cx q[6], q[4];
rz(0.0699) q[4];
cx q[6], q[4];
cx q[5], q[4];
rz(0.0699) q[4];
cx q[5], q[4];
cx q[6], q[1];
rz(0.0699) q[1];
cx q[6], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
c6198992ed6af601fff9980eebb43bc1 | 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": 0, "id": 8}, {"bipartite":... | {"states": [95, 79], "expectation_value": -86.19679786040442, "params": [[[0.8092, 0.1812], [0.11130000000000001, 0.19490000000000002], [1.0019, 0.7467], [0.0703, 0.7367], [-0.0292, 0.5711], [0.129, 0.4606], [0.41450000000000004, 0.8632000000000001], [0.9192, 0.9897], [0.7173, 0.8795000000000001]], [[0.9008, 0.37970000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + 28.0 * Z(2) + 15.0 * Z(4) + 2.0 * Z(5) + -... | 15 | 9 | 3 | {"smallest_eigenvalues": [-103.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8092) q[0];
ry(0.1113) q[1];
ry(1.0019) q[2];
ry(0.0703) q[3];
ry(-0.0292) q[4];
ry(0.129) q[5];
ry(0.4145) q[6];
ry(0.9192) q[7];
ry(0.7173) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
f907fef774f6ac859ad4ff3ba322e9a8 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.12120866480627024, "params": [[-0.1831], [0.1811]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.4555112151316067e-05, 2.455511215131608e-05], "optimization_time": 14.229319334030151} | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444445 * (Z(2) @ Z(0)) + -0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0011574074074074073 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0011574074074074073 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022839506172799], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022839506172777, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0916) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0003) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0003) 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;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
ec35ce3891ac4bb821f68ab1691bd73d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [252, 248], "expectation_value": -3.046890461919882, "params": [[-0.2311], [0.22410000000000002]], "bitstrings": ["00000011", "00000111"], "total_optimization_steps": 30, "probabilities": [0.017414542397640575, 0.018043053781743167], "optimization_time": 2.195949077606201} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.4622) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(0.6933) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.6933) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0.2311) q[3];
cx q[2], q[3];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[4], q[2];
rz(x1) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x1) q[3];
cx... | {"node": 8} | {"circuits": [], "gradients": []} |
1e66658283a5aa7556a964c41aeb84ff | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -11.555910387196992, "params": [[[-0.0029000000000000002, 0.0122], [-0.0029000000000000002, -1.5026000000000002], [-0.0027, 0.0021000000000000003], [-0.0022, 0.0033], [-0.0023, -0.0031000000000000003], [-0.0024000000000000002, -0.0025], [-1.1994, 0.003], [0.6473, 0.026000000000... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0029) q[0];
ry(-0.0029) q[1];
ry(-0.0027) q[2];
ry(-0.0022) q[3];
ry(-0.0023) q[4];
ry(-0.0024) q[5];
ry(-1.1994) q[6];
ry(0.6473) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
f5d94ed048c28683c088d45a2d452aca | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [101, 117], "expectation_value": -1.7461462060937782, "params": [0.3518, 0.4027, 0.4419, 0.39440000000000003, 1.0070000000000001, -0.007500000000000001, 1.0090000000000001, -0.005200000000000001, 0.8482000000000001, -0.24810000000000001, 0.3512, -0.4107, 1.0015, -0.0013000000000000002, -0.0025, -0.0031000000... | 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)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100010011", "100011010", "010101010", "110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3518) q[0];
rz(0.4027) q[0];
rx(0.4419) q[1];
rz(0.3944) q[1];
rx(1.007) q[2];
rz(-0.0075) q[2];
rx(1.009) q[3];
rz(-0.0052) q[3];
rx(0.8482) q[4];
rz(-0.2481) q[4];
rx(0.3512) q[5];
rz(-0.4107) q[5];
rx(1.0015) q[6];
rz(-0.0013) 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[... | null | {"circuits": [], "gradients": []} |
bba2e06053fa3c8a9a710a4bd3703eb1 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [35, 51], "expectation_value": -0.8192647283049657, "params": [[0.061900000000000004, 0.0534, 0.0625], [-0.0685, -0.0524, -0.0461]], "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 10, "probabilities": [0.01221764066611642, 0.013695221259520251], "optimization_time": 4.047845125198364} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0619) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0619) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0619) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0619) q[5];
cx q[0], q[5];
cx q[4], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [0, 1], "expectation_value": -8.01744907769928, "params": [[[-0.0033, 0.004200000000000001], [0.0026000000000000003, 0.0086], [0.0025, 0.0027], [0.0022, 0.0006000000000000001], [0.0026000000000000003, 0.0026000000000000003], [0.0026000000000000003, 0.0068000000000000005], [0.0024000000000000002, 0.0028], [1.... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0033) q[0];
rz(0.0042) q[0];
rx(0.0026) q[1];
rz(0.0086) q[1];
rx(0.0025) q[2];
rz(0.0027) q[2];
rx(0.0022) q[3];
rz(0.0006) q[3];
rx(0.0026) q[4];
rz(0.0026) q[4];
rx(0.0026) q[5];
rz(0.0068) q[5];
rx(0.0024) q[6];
rz(0.0028) q[6];
rx(1.6058) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [0, 1], "expectation_value": -3.2916174083295657, "params": [[[-0.0011, 0.1432], [0.0034000000000000002, 0.2902], [0.316, 0.0071], [0.0012000000000000001, 0.3129], [0.40040000000000003, 0.0028]], [[-0.004, 0.1608], [0.0016, 0.28090000000000004], [0.31770000000000004, 0.0071], [0.0051, 0.30820000000000003], [... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0011) q[0];
rz(0.1432) q[0];
rx(0.0034) q[1];
rz(0.2902) q[1];
rx(0.316) q[2];
rz(0.0071) q[2];
rx(0.0012) q[3];
rz(0.3129) q[3];
rx(0.4004) q[4];
rz(0.0028) q[4];
rx(-0.004) q[0];
rz(0.1608) q[0];
rx(0.0016) q[1];
rz(0.2809) q[1];
rx(0.3177) q[2];
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": 4} | {"circuits": [], "gradients": []} |
155388a51f67e78b5cb4ef00a89a070e | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [26, 24], "expectation_value": -2.772282504715932, "params": [0.0032, 0.2792, 0.3937, 0.0103, 0.4012, 0.0043, 0.0021000000000000003, 0.2906, 0.39490000000000003, 0.008400000000000001, 0.0029000000000000002, 0.27890000000000004, 0.0011, 0.2494, 0.39330000000000004, 0.0074, 0.4067, 0.0033, 0.0014, 0.3033, 0.39... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5) | 18 | 6 | 4 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111", "110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0032) q[0];
rz(0.2792) q[0];
rx(0.3937) q[1];
rz(0.0103) q[1];
rx(0.4012) q[2];
rz(0.0043) q[2];
rx(0.0021) q[3];
rz(0.2906) q[3];
rx(0.3949) q[4];
rz(0.0084) q[4];
rx(0.0029) q[5];
rz(0.2789) q[5];
crz(-0.2643) q[5], q[0];
crz(0.0073) q[4], q[5];
crz(-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": []} |
4755273824363800903 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [0, 7], [4, 7], [1, 5], [1, 3], [0, 6], [0, 2], [4, 5], [5, 7], [2, 6], [3, 6], [4, 6], [2, 5], [8, 7], [3, 5], [3, 4], [1, 4], [5, 6]]} | {"states": [222, 198], "expectation_value": -4.288017139299532, "params": null, "bitstrings": ["100100001", "100111001"], "total_optimization_steps": 71, "probabilities": [0.05460813887962826, 0.822292317229322], "optimization_time": 148.40688109397888} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 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": ["100011001", "100111001", "011000110", "011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[7], q[0];
ry(1.0293) q[7];
cry(1.4052) q[7], q[2];
cry(-0.9035) q[2], q[0];
cry(-0.7688) q[7], q[5];
cry(-1.3837) q[7], q[8];
ry(1.3261) q[1];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
2497a3606796f89526680dbe0483c469 | 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": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 8}, {"weight": 6, "source... | {"states": [412, 220], "expectation_value": -12.504982297811393, "params": [[0.042800000000000005, 0.0257], [-0.059300000000000005, -0.0567]], "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006164082489881, 0.007207061552896542], "optimization_time": 2.768320322036743} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 9.0 * Z(1) + 3.5 * Z(0) + 7.5 * Z(2) + 13.0 * Z(4) + 8.0 * Z(3) + 13.5 * Z(5) + 10.0 * Z(6) + -2.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["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[1], q[0];
rz(0.428) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.428) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.428) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.428) q[5];
cx q[4], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
9d8cdd3ce137f8d1d89fd1fc011d16ae | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [82, 104], "expectation_value": -0.24424683254266052, "params": [[-0.0557], [0.060200000000000004]], "bitstrings": ["0101101", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008624204792939752, 0.008624204792939754], "optimization_time": 1.6462039947509766} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010111", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0557) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0557) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.0557) q[2];
cx q[1], q[2];
cx q[4], q[5];
rz(-0.0557) q[5];
cx q[4], q[5];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1]... | null | {"circuits": [], "gradients": []} |
272b7f7d40fcddb1ed0126c6a9e7e713 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [84, 69], "expectation_value": -4.489065530941433, "params": null, "bitstrings": ["0101011", "0111010"], "total_optimization_steps": 31, "probabilities": [0.06023620223353348, 0.8645374077212827], "optimization_time": 31.473886489868164} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0101011", "0001111", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(1.4449) q[0];
cry(-1.0343) q[4], q[1];
cry(-1.0342) q[6], q[2];
ry(0.7003) q[6];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[4];
ry(-0.4549) q[2];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -3.2495731199669877, "params": [[[0.0068000000000000005, 0.2798], [0.0013000000000000002, 0.4329], [0.4641, 0.0002], [0.6099, 0.0034000000000000002]], [[-0.0008, 0.3111], [0.0046, 0.46840000000000004], [0.4675, 0.0001], [0.6086, 0.0034000000000000002]], [[0.0064, 0.00120000000000... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0068) q[0];
rz(0.2798) q[0];
rx(0.0013) q[1];
rz(0.4329) q[1];
rx(0.4641) q[2];
rz(0.0002) q[2];
rx(0.6099) q[3];
rz(0.0034) q[3];
rx(-0.0008) q[0];
rz(0.3111) q[0];
rx(0.0046) q[1];
rz(0.4684) q[1];
rx(0.4675) q[2];
rz(0.0001) q[2];
rx(0.6086) 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": 3} | {"circuits": [], "gradients": []} |
247ede82bbc36285f5765c81a230f94f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [480, 508], "expectation_value": -10.845328367706644, "params": null, "bitstrings": ["000011111", "000000011"], "total_optimization_steps": 100, "probabilities": [0.07487575182790177, 0.5776673153182541], "optimization_time": 190.9489221572876} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5706) q[3], q[2];
ry(1.056) q[3];
cry(1.5708) q[2], q[1];
cry(1.5708) q[1], q[0];
cry(-0.6473) q[0], q[2];
ry(-0.1153) q[2];
cry(0.1321) q[1], q[2];
cry(1.0301) q[8], q[2];
cry(0.515... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[3], 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... |
a2b703670d19247f6071de624d813f7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [1436, 1438], "expectation_value": -2.8441311094109736, "params": [[[0.3426, -0.0125, 0.0081, 0.0079], [0.7881, 0.19790000000000002, 0.4292, 0.1652], [0.553, 0.024800000000000003, -0.47990000000000005, -0.4314], [0.14780000000000001, 0.0409, 0.8975000000000001, 0.0023], [0.7683, -0.00030000000000000003, -0.2... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 11 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3426) q[0];
rz(-0.0125) q[0];
ry(0.7881) q[1];
rz(0.1979) q[1];
ry(0.553) q[2];
rz(0.0248) q[2];
ry(0.1478) q[3];
rz(0.0409) q[3];
ry(0.7683) q[4];
rz(-0.0003) q[4];
ry(0.1342) q[5];
rz(0.0007) q[5];
ry(0.384) q[6];
rz(0.0656) q[6];
ry(0.1905) 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... | null | {"circuits": [], "gradients": []} |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [168, 936], "expectation_value": -14.617619726353846, "params": [-0.004200000000000001, 0.0064, 1.0157, 0.804, 0.0367, -0.04, 0.6325000000000001, 2.802, -0.0045000000000000005, 0.0043, 1.0425, 0.9294, 0.0019, 0.0044, 0.8279000000000001, 2.3208, 0.0027, 0.0023, 0.0027, 0.003, 0.0022, 0.0026000000000000003, -2... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 14 | 11 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0042) q[0];
ry(1.0157) q[1];
ry(0.0367) q[2];
ry(0.6325) q[3];
ry(-0.0045) q[4];
ry(1.0425) q[5];
ry(0.0019) q[6];
ry(0.8279) q[7];
ry(0.0027) q[8];
ry(0.0027) q[9];
ry(0.0022) q[10];
crx(-2.8783) q[10], q[0];
crx(0.0034) q[9], q[10];
crx(-2.6096) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
02575a12c565dc28617818fe7f0b4a99 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [126, 118], "expectation_value": -51.281590836365126, "params": [0.45280000000000004, 0.37020000000000003, 1.067, 0.0002, 1.0639, -0.0044, 1.062, 0.13540000000000002, 0.549, 0.2735, 1.0686, -0.0181, 1.0744, 0.1365, 0.2929, 0.3927, 0.45690000000000003, 0.3401, 1.0751, -0.0125, 1.0694000000000001, 0.0018000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 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(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4528) q[0];
rz(0.3702) q[0];
rx(1.067) q[1];
rz(0.0002) q[1];
rx(1.0639) q[2];
rz(-0.0044) q[2];
rx(1.062) q[3];
rz(0.1354) q[3];
rx(0.549) q[4];
rz(0.2735) q[4];
rx(1.0686) q[5];
rz(-0.0181) q[5];
rx(1.0744) q[6];
rz(0.1365) q[6];
rx(0.2929) q[7];
rz(0.3... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.