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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [171, 427], "expectation_value": -4.918969252088818, "params": [[[0.6577000000000001, -0.12300000000000001, 0.0038, 0.0079], [0.8582000000000001, -0.27040000000000003, 0.17370000000000002, 0.0007], [-0.079, -0.0984, 0.0083, -0.091], [0.5879, 0.1022, 0.6982, 0.0046], [0.0026000000000000003, -0.327, 0.0064, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6577) q[0];
rz(-0.123) q[0];
ry(0.8582) q[1];
rz(-0.2704) q[1];
ry(-0.079) q[2];
rz(-0.0984) q[2];
ry(0.5879) q[3];
rz(0.1022) q[3];
ry(0.0026) q[4];
rz(-0.327) q[4];
ry(0.487) q[5];
rz(-0.0157) q[5];
ry(0.0195) q[6];
rz(0.0159) q[6];
ry(0.9488) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
b5b8ce7e02a226f3af14da204e495165 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [0, 4064], "expectation_value": -34.661115814824136, "params": [[[0.0022, 0.0089], [0.0023, 0.0033], [0.0026000000000000003, 0.0054], [0.0021000000000000003, 0.0038], [0.003, 0.0012000000000000001], [0.9288000000000001, 0.0029000000000000002], [1.598, 0.0012000000000000001], [0.0021000000000000003, 0.0032], ... | -3.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + 0.5 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-38.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0022) q[0];
rz(0.0089) q[0];
rx(0.0023) q[1];
rz(0.0033) q[1];
rx(0.0026) q[2];
rz(0.0054) q[2];
rx(0.0021) q[3];
rz(0.0038) q[3];
rx(0.003) q[4];
rz(0.0012) q[4];
rx(0.9288) q[5];
rz(0.0029) q[5];
rx(1.598) q[6];
rz(0.0012) q[6];
rx(0.0021) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
9b41861950fe197aa15ad5f6c24a3f0d | 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": 3}, {"source": 0, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [30, 94], "expectation_value": -3.049092933806376, "params": [[[0.1216, 0.1424], [0.40290000000000004, -0.0008], [0.002, 0.1973], [0.40290000000000004, 0.0002], [0.40800000000000003, 0.0026000000000000003], [0.4022, 0.0026000000000000003], [0.40740000000000004, 0.0028], [-0.001, 0.19290000000000002]], [[0.11... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(7) + -1.5 * Z(2) + -0.5 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1216) q[0];
rz(0.1424) q[0];
rx(0.4029) q[1];
rz(-0.0008) q[1];
rx(0.002) q[2];
rz(0.1973) q[2];
rx(0.4029) q[3];
rz(0.0002) q[3];
rx(0.408) q[4];
rz(0.0026) q[4];
rx(0.4022) q[5];
rz(0.0026) q[5];
rx(0.4074) q[6];
rz(0.0028) q[6];
rx(-0.001) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 0.9506592750549316} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[1];
ry(-1.5708) q[2];
ry(-1.5642) q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\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(-1.5681) q[1];\nry(-1.5708)... |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [0, 5], "expectation_value": -3.999905744134601, "params": null, "bitstrings": ["11111", "11010"], "total_optimization_steps": 15, "probabilities": [1.726280242127105e-05, 0.9999394822330047], "optimization_time": 11.529311895370483} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-0.1259) q[4], q[3];
cry(0.1217) q[4], q[2];
cry(0.1214) q[2], q[4];
cry(-0.0027) q[4], q[1];
c[0] = measure q[0];
c[1] = measur... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -12.286552508291845, "params": [[-0.0446, -0.0068000000000000005], [0.0784, 0.07490000000000001]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.00847540699032194, 0.009357205312094458], "optimization_time": 7.670413494110107} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2453) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2453) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2453) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2453) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} |
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 3, "target... | {"states": [42581, 43605], "expectation_value": -2.015599159105376, "params": [0.5357000000000001, 0.5292, -0.0006000000000000001, 0.0055000000000000005, 0.533, 0.5213, -0.0099, 0.009600000000000001, 0.8163, 0.7095, 0.49000000000000005, 0.4742, 0.5394, 0.5272, -0.0082, 0.0166, -0.0094, 0.0006000000000000001, 0.5315, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0011250000000000001 * (Z(2) @ Z(0)) + -0.0011250000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00012500000000000003 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.00012500000000000003 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.021249999999955], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999447, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5357) q[0];
ry(-0.0006) q[1];
ry(0.533) q[2];
ry(-0.0099) q[3];
ry(0.8163) q[4];
ry(0.49) q[5];
ry(0.5394) q[6];
ry(-0.0082) q[7];
ry(-0.0094) q[8];
ry(0.5315) q[9];
ry(-0.0202) q[10];
ry(0.527) q[11];
ry(0.0022) q[12];
ry(0.5317) q[13];
ry(0.0007) q[14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -0.8460076070495717, "params": [0.4031, 0.1781, 0.3295, 0.1441, 0.002, 0.2268, 0.39580000000000004, 0.1841, 0.3276, 0.1444, 0.4088, -0.0047, 0.3995, 0.20720000000000002, 0.3158, 0.1557, 0.0006000000000000001, 0.21660000000000001, 0.40040000000000003, 0.2021, 0.3146, 0.1547, 0.40... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 18 | 6 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4031) q[0];
rz(0.1781) q[0];
rx(0.3295) q[1];
rz(0.1441) q[1];
rx(0.002) q[2];
rz(0.2268) q[2];
rx(0.3958) q[3];
rz(0.1841) q[3];
rx(0.3276) q[4];
rz(0.1444) q[4];
rx(0.4088) q[5];
rz(-0.0047) q[5];
crz(0.0059) q[5], q[0];
crz(-0.1249) q[4], q[5];
crz(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[... | null | {"circuits": [], "gradients": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [34, 12], "expectation_value": -3.0891521491109835, "params": [[-0.1482, -0.1318], [0.16390000000000002, 0.1494]], "bitstrings": ["1011101", "1110011"], "total_optimization_steps": 20, "probabilities": [0.02696666575817194, 0.027334777762585895], "optimization_time": 6.411767482757568} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"]} | 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(-0.1482) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1482) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1482) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.1482) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | null | {"circuits": [], "gradients": []} |
20b257e7ab3ea05503daa46ec3868b05 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -6.516671423108214, "params": [[-0.0167, 0.0368, 0.0347, 0.0318], [0.0292, -0.0313, -0.044700000000000004, -0.057100000000000005]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.027253821702624356, 0.028201656953066784], "optimization_ti... | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0751) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0751) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0751) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0751) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -7.907489572983732, "params": [[0.0436], [-0.058]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006530443761016291, 0.0074272848402593735], "optimization_time": 1.9472100734710693} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(0.3924) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.3924) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.3924) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.3924) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
7131048945494205798 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [0, 1, 4], [1, 2, 3, 4], [3, 4, 5]]} | {"states": [38, 46], "expectation_value": -1.1486616208326494, "params": null, "bitstrings": ["011001", "010001"], "total_optimization_steps": 26, "probabilities": [0.034791100048201275, 0.9416430817109563], "optimization_time": 28.009182929992676} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["010001"]} | 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(1.4074) q[4];
ry(0.7729) q[3];
cry(0.4441) q[4], q[3];
cry(-0.5675) q[3], q[5];
cry(-0.4823) q[0], q[1];
ry(0.5651) q[0];
cry(-0.4998) q[4], q[5];
cry(-0.4718) q[4], q[1];
cry(0.5882) q[4], q[0];
cry(-0.4615) ... | 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(1.4074) 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 \"stdgat... |
8f9556ded5862d313741f5f580f26f44 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "tar... | {"states": [345, 236], "expectation_value": -15.324511691498218, "params": [[-0.0463, -0.0095], [0.07200000000000001, 0.0591]], "bitstrings": ["010100110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006537314571880105, 0.009655924138073747], "optimization_time": 4.833977460861206} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["100010011"]} | 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(-0.4167) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.4167) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.4167) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.4167) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.009105514286483953, "params": [[0.060700000000000004], [-0.050300000000000004]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.0002532583248317791, 0.00025325832483177917], "optimization_time": 5.528808116912842} | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0304) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [15, 31], "expectation_value": -21.226030998085907, "params": [-0.0047, -1.6819000000000002, -0.0029000000000000002, 1.5190000000000001, -0.0019, 1.8419, 0.8801, 0.46640000000000004, 1.955, -0.0051, 1.5635000000000001, -0.0019, 0.8838, -0.9088, -1.5143, 0.012700000000000001, 0.005, 0.005200000000000001, -0.0... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 18 | 8 | 2 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0047) q[0];
rz(-1.6819) q[0];
rx(-0.0029) q[1];
rz(1.519) q[1];
rx(-0.0019) q[2];
rz(1.8419) q[2];
rx(0.8801) q[3];
rz(0.4664) q[3];
rx(1.955) q[4];
rz(-0.0051) q[4];
rx(1.5635) q[5];
rz(-0.0019) q[5];
rx(0.8838) q[6];
rz(-0.9088) q[6];
rx(-1.5143) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
4421c497e819297a0c75498974257550 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [242, 236], "expectation_value": -28.353926989537293, "params": [[0.028800000000000003, 0.005, -0.0032, 0.0054], [-0.0763, -0.0594, -0.0516, -0.051000000000000004]], "bitstrings": ["100001101", "100010011"], "total_optimization_steps": 10, "probabilities": [0.01042649242173825, 0.012204727292494551], "optimi... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | 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(0.2592) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.2592) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2592) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.2592) q[2];
cx q[0], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f619afa25c1921f996d128a1dfefef72 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2773, 2709], "expectation_value": -0.12880403846072958, "params": [0.39530000000000004, 0.0047, 0.3975, 0.0032, 0.3795, -0.013300000000000001, 0.3739, -0.020900000000000002, 0.3972, 0.0004, 0.3971, 0.0008, 0.3201, 0.0267, 0.31170000000000003, 0.0158, 0.40080000000000005, 0.0044, 0.39280000000000004, 0.0022,... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 6 | 12 | 2 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3953) q[0];
rz(0.0047) q[0];
rx(0.3795) q[1];
rz(-0.0133) q[1];
rx(0.3972) q[2];
rz(0.0004) q[2];
rx(0.3201) q[3];
rz(0.0267) q[3];
rx(0.4008) q[4];
rz(0.0044) q[4];
rx(0.3956) q[5];
rz(-0.0009) q[5];
rx(0.399) q[6];
rz(0.0053) q[6];
rx(0.3964) 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
47e061061a6d0acfe5610133d54047de | 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": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 1, ... | {"states": [128, 127], "expectation_value": -16.799356907597357, "params": [[[0.0036000000000000003, 0.011300000000000001], [0.0011, -0.0028], [0.0067, 0.0025], [0.0061, 0.0024000000000000002], [0.0066, 0.0026000000000000003], [0.0037, 0.0024000000000000002], [-0.0034000000000000002, 0.00030000000000000003], [1.6941000... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(... | 15 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0036) q[0];
ry(0.0011) q[1];
ry(0.0067) q[2];
ry(0.0061) q[3];
ry(0.0066) q[4];
ry(0.0037) q[5];
ry(-0.0034) q[6];
ry(1.6941) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
eb3644a595f88cde537ce8eaf8e385b0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -26.21615890966948, "params": [0.0027, -0.5242, 0.0028, 0.007200000000000001, 0.0021000000000000003, -0.5062, 0.0021000000000000003, 0.0092, 0.7985, 0.0425, 0.8013, 0.0085, 0.0026000000000000003, -0.5246000000000001, 0.0026000000000000003, 0.0054, 0.0021000000000000003, -0.5898... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(3)) + -1.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -1.5 * (Z(6)... | 5 | 11 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(-0.5242) q[0];
rx(0.0021) q[1];
rz(-0.5062) q[1];
rx(0.7985) q[2];
rz(0.0425) q[2];
rx(0.0026) q[3];
rz(-0.5246) q[3];
rx(0.0021) q[4];
rz(-0.5898) q[4];
rx(0.0027) q[5];
rz(-0.5627) q[5];
rx(0.0023) q[6];
rz(-0.2909) q[6];
rx(0.0022) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
3969156917651421283 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 7], [2, 5], [0, 1, 2], [8, 0], [1, 6], [8, 3, 4], [0, 1, 4], [3, 6], [2, 7]]} | {"states": [497, 241], "expectation_value": -0.18153120371935452, "params": [0.6954, -0.0068000000000000005, 0.6981, 0.0028, 0.7002, -0.0001, 0.7002, 0.0051, 0.7011000000000001, 0.007, 0.7047, 0.0088, 0.7076, 0.00030000000000000003, 0.7073, 0.004200000000000001, 0.7019000000000001, 0.0074, 0.7060000000000001, 0.0009000... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.166... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6954) q[0];
rz(-0.0068) q[0];
rx(0.7002) q[1];
rz(-0.0001) q[1];
rx(0.7011) q[2];
rz(0.007) q[2];
rx(0.7076) q[3];
rz(0.0003) q[3];
rx(0.7019) q[4];
rz(0.0074) q[4];
rx(0.7057) q[5];
rz(0.004) q[5];
rx(0.7045) q[6];
rz(-0.0055) q[6];
rx(0.7007) 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": []} |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 5.927211761474609} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[1];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.0027) q[2], q[1];
cry(0.0284... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
11bc780ee0dea252ffa14ebfc46f89b7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -22.42067361706528, "params": [-0.004200000000000001, -0.0022, 0.00030000000000000003, 0.0054, 0.003, 0.0056, 0.198, 0.2019, 0.0038, 0.002, 0.0021000000000000003, 0.0001, -0.0015, 0.0038, 0.0025, 0.0026000000000000003, 0.0012000000000000001, 0.0035, -0.0007, 0.00360000000000000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(9)) + -0.75 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(9)) + -1.25 * (Z... | 14 | 12 | 4 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0042) q[0];
ry(0.0003) q[1];
ry(0.003) q[2];
ry(0.198) q[3];
ry(0.0038) q[4];
ry(0.0021) q[5];
ry(-0.0015) q[6];
ry(0.0025) q[7];
ry(0.0012) q[8];
ry(-0.0007) q[9];
ry(0.0057) q[10];
ry(0.0019) q[11];
crx(0.0024) q[11], q[0];
crx(0.1228) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
165d6f0b141cf9f7a9f492c4e4764575 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 5, "target":... | {"states": [287, 191], "expectation_value": -0.7691700818615697, "params": [[-0.0886], [0.0818]], "bitstrings": ["011100000", "101000000"], "total_optimization_steps": 10, "probabilities": [0.0028476876499497292, 0.0029465498242312034], "optimization_time": 3.335388422012329} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * Z(1) + -1.5 * Z(0) + 1.0 * Z(3) + -1.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["101000000", "111100000"]} | 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(-0.0886) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.2658) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.0886) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0886) q[2];
cx q[0], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3... | {"node": 3} | {"circuits": [], "gradients": []} |
-7816867425149819707 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [5, 6], [0, 3], [3, 6], [4, 5], [0, 4], [0, 5], [1, 3], [1, 4], [0, 6], [2, 3]]} | {"states": [115, 51], "expectation_value": -0.057700138912491414, "params": [[[1.4754, 0.0039000000000000003], [1.7273, 0.003], [1.7159, 0.0089], [1.4278, 0.0091], [1.4299000000000002, 0.0066], [1.6927, 0.0008], [1.6993, 0.0025]]], "bitstrings": ["0001100", "1001100"], "total_optimization_steps": 180, "probabilities": ... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110010", "0001110", "0001101", "1001100", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4754) q[0];
rz(0.0039) q[0];
rx(1.7273) q[1];
rz(0.003) q[1];
rx(1.7159) q[2];
rz(0.0089) q[2];
rx(1.4278) q[3];
rz(0.0091) q[3];
rx(1.4299) q[4];
rz(0.0066) q[4];
rx(1.6927) q[5];
rz(0.0008) q[5];
rx(1.6993) q[6];
rz(0.0025) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
4483787729119184214 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [1, 4, 6], [1, 2, 5], [5, 6], [0, 3], [0, 7]]} | {"states": [93, 226], "expectation_value": -0.05700216816804724, "params": [[-0.0758], [0.07490000000000001]], "bitstrings": ["10100010", "00011101"], "total_optimization_steps": 10, "probabilities": [0.0043585595865980944, 0.004358880109397941], "optimization_time": 1.684061050415039} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665, -2.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["00011101", "10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(-0.0758) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.0253) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.0253) q[4];
cx q[1], q[4];
cx q[1], q[6];
rz(-0.0253) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(x1) q[1];
cx q[2], q[1];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [3, 10], "expectation_value": -0.1081894137584735, "params": [[0.024, -0.0489, -0.07250000000000001], [-0.061200000000000004, 0.018600000000000002, 0.0625]], "bitstrings": ["1100", "0101"], "total_optimization_steps": 10, "probabilities": [0.06855489745377594, 0.06855489745377599], "optimization_time": 1.734... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | 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(0.024) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.024) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.024) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.024) q[2];
cx q[1], q[2];
rz(-0.048) q[1];
rz(-0.024) q[0];
rz(-0.024)... | 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[4] c;
qubit[4] ... | null | {"circuits": [], "gradients": []} |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [432, 384], "expectation_value": -9.66572781374066, "params": [[-0.0713], [0.16640000000000002]], "bitstrings": ["001001111", "001111111"], "total_optimization_steps": 20, "probabilities": [0.00813532414994869, 0.008188874517837712], "optimization_time": 2.5551559925079346} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(0.1426) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(0.4278) q[2];
cx q[6], q[2];
cx q[6], q[8];
rz(0.4991) q[8];
cx q[6], q[8];
cx q[2], q[8];
rz(0.4991) q[8];
cx q[2], q[8];
... | 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[... | {"node": 5} | {"circuits": [], "gradients": []} |
7716dc89002d46483faea00b4852bdef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8},... | {"states": [1535, 511], "expectation_value": -59.031815712102095, "params": [[[1.5058, 0.006], [-3.1473, 0.00030000000000000003], [0.0024000000000000002, 0.007], [-0.0024000000000000002, 0.0005], [0.0025, 0.004], [-0.0025, 0.0044], [0.0025, 0.0028], [0.0025, 0.0083], [0.0025, 0.0024000000000000002], [0.0025, 0.00550000... | 0.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + -4.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -4.5 * (Z(3) @ Z(7)) + -4.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(7)) + -4.0 * (Z(5) @ Z(3)) + -4.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(7)) + -3.5 ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5058) q[0];
rz(0.006) q[0];
rx(-3.1473) q[1];
rz(0.0003) q[1];
rx(0.0024) q[2];
rz(0.007) q[2];
rx(-0.0024) q[3];
rz(0.0005) q[3];
rx(0.0025) q[4];
rz(0.004) q[4];
rx(-0.0025) q[5];
rz(0.0044) q[5];
rx(0.0025) q[6];
rz(0.0028) q[6];
rx(0.0025) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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]... | {"node": 1} | {"circuits": [], "gradients": []} |
64b81587301614454a8e204aef648a08 | 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": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [1, 65], "expectation_value": -11.278613398847908, "params": [0.0032, 0.7944, 0.8258000000000001, 0.0048000000000000004, -0.0024000000000000002, 0.9458000000000001, -0.0025, 0.907, -0.0027, 0.9442, -0.0027, 0.9637, -0.0025, 0.9383, 1.3101, 0.004, 0.0032, 0.004, 0.8262, 0.0067, -0.0025, 0.0071, -0.0025, 0.004... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 3 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0032) q[0];
rz(0.7944) q[0];
rx(0.8258) q[1];
rz(0.0048) q[1];
rx(-0.0024) q[2];
rz(0.9458) q[2];
rx(-0.0025) q[3];
rz(0.907) q[3];
rx(-0.0027) q[4];
rz(0.9442) q[4];
rx(-0.0027) q[5];
rz(0.9637) q[5];
rx(-0.0025) q[6];
rz(0.9383) q[6];
rx(1.3101) 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": 7} | {"circuits": [], "gradients": []} |
cfcf196786d6d074ade797fa6078553a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [390, 399], "expectation_value": -1.3868003768399888, "params": [[0.0621, 0.050800000000000005, 0.046700000000000005], [-0.054700000000000006, -0.0463, -0.042]], "bitstrings": ["1001111001", "1001110000"], "total_optimization_steps": 10, "probabilities": [0.0015472571826615038, 0.0015472571826615044], "optim... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1000101010", "1001111010", "1001111001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[0];
rz(0.0621) q[0];
cx q[5], q[0];
cx q[5], q[7];
rz(0.0621) q[7];
cx q[5], q[7];
cx q[0], q[7];
rz(0.0621) q[7];
cx q[0], q[7];
cx q[5], q[3];
rz(-0.1242) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-6049919368163708617 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5, 7], [0, 1, 3, 5, 7], [1, 2, 3, 4, 5], [1, 2, 6], [0, 2, 3, 6, 7], [0, 1, 4, 6, 7], [2, 3, 4, 6, 7], [1, 2, 7], [0, 1, 3, 4], [3, 5, 6]]} | {"states": [91, 175], "expectation_value": -1.136013703524666, "params": [[-0.2816], [0.273]], "bitstrings": ["10100100", "01010000"], "total_optimization_steps": 30, "probabilities": [0.00834820618759953, 0.008700749217743048], "optimization_time": 4.32077956199646} | 0.1 * (Z(0) @ Z(2)) + 0.2 * (Z(3) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.31666666666666665 * (Z(5) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(5)) + 0.3833333333333333 * (Z(1) @ Z(2)) + 0.1833333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2500000000000004, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0563) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1126) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1314) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0563) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [237, 236], "expectation_value": -1.4574143239995407, "params": [1.7038, 0.0068000000000000005, 1.7105000000000001, 0.007500000000000001, 1.7118, 0.0055000000000000005, -0.0025, 0.0022, 1.7006000000000001, 0.0057, 1.7046000000000001, 0.0097, -0.0025, 0.0009000000000000001, 1.4697, 0.0049, 0.0088, 0.0098, 0.0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.7038) q[0];
rz(0.0068) q[0];
rx(1.7105) q[1];
rz(0.0075) q[1];
rx(1.7118) q[2];
rz(0.0055) q[2];
rx(-0.0025) q[3];
rz(0.0022) q[3];
rx(1.7006) q[4];
rz(0.0057) q[4];
rx(1.7046) q[5];
rz(0.0097) q[5];
rx(-0.0025) q[6];
rz(0.0009) q[6];
rx(1.4697) 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": []} |
eb532b3fe9f318ccb3658a6712436b91 | 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": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -7.871292075091365, "params": [[[0.0032, 0.0012000000000000001], [0.0026000000000000003, 0.0081], [0.0024000000000000002, 0.0041], [0.0023, 0.007], [0.0026000000000000003, 0.007200000000000001], [1.1943000000000001, 0.0098], [0.0026000000000000003, 0.0001], [1.6055000000000001, 0... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0032) q[0];
rz(0.0012) q[0];
rx(0.0026) q[1];
rz(0.0081) q[1];
rx(0.0024) q[2];
rz(0.0041) q[2];
rx(0.0023) q[3];
rz(0.007) q[3];
rx(0.0026) q[4];
rz(0.0072) q[4];
rx(1.1943) q[5];
rz(0.0098) q[5];
rx(0.0026) q[6];
rz(0.0001) q[6];
rx(1.6055) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9f6a09f991bf68484362b3872f6239a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -2.2934437675605857, "params": [[-0.07350000000000001, -0.0809], [0.0729, 0.0732]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.017727011947613145, 0.018549464047499527], "optimization_time": 3.1047685146331787} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1110110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.147) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.147) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.1103) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.0368) q[3];
cx q[1], q[3];
cx q[5], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
5be09b8ac679e5c7eed0ea066967a69f | 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": [1582, 1574], "expectation_value": -122.54986417231584, "params": [0.0823, -0.5467000000000001, 1.0698, -0.24150000000000002, 0.9134, 0.0596, 0.2765, 0.5198, -0.0024000000000000002, 0.8162, 0.0013000000000000002, 0.6659, 1.0651000000000002, 0.24100000000000002, -0.0023, 0.7478, 0.5302, 0.3281, 1.0737, 0.1533... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(11) @ Z(9)) + 13.0 * Z(1) + 2.0 * Z(0) + 9.5 * Z(3) + 6.5 * Z(2) ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-135.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.5, "smallest_bitstrings": ["100111011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0823) q[0];
rz(-0.5467) q[0];
rx(1.0698) q[1];
rz(-0.2415) q[1];
rx(0.9134) q[2];
rz(0.0596) q[2];
rx(0.2765) q[3];
rz(0.5198) q[3];
rx(-0.0024) q[4];
rz(0.8162) q[4];
rx(0.0013) q[5];
rz(0.6659) q[5];
rx(1.0651) q[6];
rz(0.241) q[6];
rx(-0.0023) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-2003023277072742605 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[10, 12], [0, 6], [1, 6], [1, 2], [1, 3], [4, 7], [4, 5], [8, 7], [9, 1], [11, 12]]} | {"states": [1886, 1881], "expectation_value": -0.035111360556650595, "params": [[0.047], [-0.0376]], "bitstrings": ["1100010100001", "1100010100110"], "total_optimization_steps": 10, "probabilities": [0.00013086728066339683, 0.00013086728066339683], "optimization_time": 46.67442965507507} | 0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(11) @ Z(12)) + 0.0 * Z(12) + 0.0 * Z(10) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0... | 9 | 13 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011101011001", "0011101011110", "0011011101001", "0011011101110", "1100010100110", "1100100010001", "1100010100001", "1100100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[10];
rz(0.047) q[10];
cx q[12], q[10];
cx q[6], q[0];
rz(0.047) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.047) q[1];
cx q[6], q[1];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[10];
rz(x0) q[10];
cx q[12], q[10];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
... | null | {"circuits": [], "gradients": []} |
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -43.7229458606551, "params": [1.4236, 0.4358, -1.4909000000000001, -0.018600000000000002, -1.4908000000000001, 0.0095, -0.003, 1.5010000000000001, -0.0024000000000000002, 1.5454, 0.8281000000000001, 0.316, 1.5396, 0.0009000000000000001, 1.572, 0.0021000000000000003, 1.57540... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 2 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.4236) q[0];
rz(0.4358) q[0];
rx(-1.4909) q[1];
rz(-0.0186) q[1];
rx(-1.4908) q[2];
rz(0.0095) q[2];
rx(-0.003) q[3];
rz(1.501) q[3];
rx(-0.0024) q[4];
rz(1.5454) q[4];
rx(0.8281) q[5];
rz(0.316) q[5];
rx(1.5396) q[6];
rz(0.0009) q[6];
rx(1.572) 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": 4} | {"circuits": [], "gradients": []} |
3752093b82ed107b6f6f5e75324b3162 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.4530211343817239, "params": [[-0.053000000000000005, -0.0795], [0.057800000000000004, 0.0746]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005970493270508612, 0.006210907833109063], "optimization_time": 3.403280735015869} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0265) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.053) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0265) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.053) q[1];
cx q[3], q[1];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
0a6e2091bc5bdff4622ae4a54464dd30 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 7}, {"sour... | {"states": [165, 169], "expectation_value": -3.6423720379110565, "params": [[0.3007, 0.406, 0.1991, 0.3981, -0.007, 0.40190000000000003, 0.3982, 0.07930000000000001, 0.4035], [0.27440000000000003, 0.4036, 0.3037, 0.405, -0.0041, 0.4068, 0.3955, 0.0723, 0.4016], [0.3493, 0.402, 0.2721, 0.39740000000000003, -0.0006000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011011", "101011010", "100010111", "101010110", "110001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3007) q[0];
ry(0.406) q[1];
ry(0.1991) q[2];
ry(0.3981) q[3];
ry(-0.007) q[4];
ry(0.4019) q[5];
ry(0.3982) q[6];
ry(0.0793) q[7];
ry(0.4035) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | 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": []} |
a55a756bc6b4aed2f437873258c8c829 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": ... | {"states": [1021, 1023], "expectation_value": -21.51998878234128, "params": [[[-0.9804, -0.0018000000000000002], [0.004200000000000001, -0.0019], [-1.5704, 2.7836000000000003], [-0.0022, 0.3623], [0.0035, -0.0045000000000000005], [0.0037, -0.0037], [0.0016, -0.0032], [0.0015, 0.0022], [-0.001, -0.0034000000000000002], ... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -0.75 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.5 * (Z(7) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.9804) q[0];
ry(0.0042) q[1];
ry(-1.5704) q[2];
ry(-0.0022) q[3];
ry(0.0035) q[4];
ry(0.0037) q[5];
ry(0.0016) q[6];
ry(0.0015) q[7];
ry(-0.001) q[8];
ry(-0.0017) q[9];
ry(0.0006) q[10];
ry(0.0031) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-6975250947239387511 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2, 5], [1, 2, 4, 5], [3, 4], [0, 1, 2, 4, 6], [1, 5, 6], [2, 3, 6]]} | {"states": [120, 58], "expectation_value": -0.049533608663136025, "params": [[-0.061900000000000004], [0.0627]], "bitstrings": ["0000111", "1000101"], "total_optimization_steps": 10, "probabilities": [0.008215221289515809, 0.008222715785721068], "optimization_time": 0.7388432025909424} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.25 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["0001010", "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];
cx q[3], q[1];
rz(-0.0206) q[1];
cx q[3], q[1];
cx q[3], q[6];
rz(-0.0413) q[6];
cx q[3], q[6];
cx q[1], q[6];
rz(-0.0475) q[6];
cx q[1], q[6];
cx q[1], q[0];
rz(-0.0062) q[0];
cx q[1], q[0];
cx q[6], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 22.257132053375244} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
ry(1.5708) q[6];
ry(-1.5708) q[0];
cry(-1.5708) q[1], q[4];
ry(-1.5486) q[2];
ry(-1.5708) q[3];
ry(-1.4449) q[5];
cry(-0.1188) q[1], q[5];
cry(-0.0222) q[1], q[2];
cry(-0.0001) q[1], q[0]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-4186604412911688631 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [4, 5, 7], [0, 3, 5, 6], [1, 4, 6], [6, 7], [0, 1, 6], [0, 1, 4], [3, 4], [3, 7], [0, 1, 5], [1, 3], [0, 2, 4]]} | {"states": [206, 205], "expectation_value": -2.2044341883029874, "params": [1.1522000000000001, 1.1492, 1.3855000000000002, 1.3877000000000002, 0.5816, 0.8549, 0.2707, 0.2823, 1.4005, 1.3956000000000002, 1.3951, 1.3938000000000001, 1.4003, 1.3917000000000002, 0.7612, 0.8355, 0.753, 1.3912, -0.4164, 0.23770000000000002,... | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.166666666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2500000000000018, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.1522) q[0];
ry(1.3855) q[1];
ry(0.5816) q[2];
ry(0.2707) q[3];
ry(1.4005) q[4];
ry(1.3951) q[5];
ry(1.4003) q[6];
ry(0.7612) q[7];
crx(0.753) q[7], q[0];
crx(-0.5698) q[6], q[7];
crx(0.9397) q[5], q[6];
crx(-0.01) q[4], q[5];
crx(-0.0476) q[3], q[4];
crx(... | 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": []} |
02692fd88b7456e30d09992c921856e9 | 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": [231, 167], "expectation_value": -61.081024338832755, "params": [0.2238, 0.5738, 1.4002000000000001, 0.20800000000000002, 0.7468, 0.42000000000000004, 1.3978000000000002, 0.2081, 0.0022, 0.8576, -0.0167, 0.7012, 1.3911, -0.1355, 1.3901000000000001, 0.0051, 1.4066, 0.26280000000000003, 0.22080000000000002, 0.... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(8)) + 19.0 * Z(1) + 0.5 * Z(0) + 9.0 * Z(2) + 8.5 * Z(3) + -4.0 * Z(4) + 11.5 * Z(6) + 13.5 * Z(7) + -0.5 ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2238) q[0];
rz(0.5738) q[0];
rx(1.4002) q[1];
rz(0.208) q[1];
rx(0.7468) q[2];
rz(0.42) q[2];
rx(1.3978) q[3];
rz(0.2081) q[3];
rx(0.0022) q[4];
rz(0.8576) q[4];
rx(-0.0167) q[5];
rz(0.7012) q[5];
rx(1.3911) q[6];
rz(-0.1355) q[6];
rx(1.3901) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
7fc1aaca9b2555712646afcde4133c5a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [190, 185], "expectation_value": -32.73979184451385, "params": null, "bitstrings": ["101000001", "101000110"], "total_optimization_steps": 100, "probabilities": [0.08448358834702649, 0.18688122142920033], "optimization_time": 138.43547415733337} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(0) + 7.5 * Z(1) + 0.5 * Z(2) + 5.5 * Z(3) + 15.0 * Z(4) + 11.0 * Z(5) + 8.5 * Z(6) + 1.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["101000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(26.9543) q[4];
ry(0.197) q[1];
cry(-0.4108) q[4], q[1];
ry(0.0211) q[5];
cry(0.0784) q[4], q[5];
ry(0.2329) q[3];
cry(0.0314) q[4], q[3];
cry(0.7975) q[3], q[1];
cry(-0.4532) q[1], q[0]... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 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(26.9543) 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] = ... |
305cc5dd5b277c9d8e7c7144880cc230 | 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": [1170, 1174], "expectation_value": -104.09271628433127, "params": [[0.8942, 0.1579, -0.0135, 0.7808, 0.0019, -0.0044, 0.8172, 0.049100000000000005, 0.2947, 0.8976000000000001, 0.07780000000000001], [0.8931, 0.20270000000000002, 0.0086, 0.7793, 0.0023, 0.0001, 0.7889, 0.0815, 0.8948, 0.901, 0.0851000000000000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 4.5 * Z(1) + 9.5 * Z(0) + -5.0 * Z(2) + 8.0 * Z(3) + -4.5 * Z(5) + 14.5 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.0, "smallest_bitstrings": ["01101101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.8942) q[0];
ry(0.1579) q[1];
ry(-0.0135) q[2];
ry(0.7808) q[3];
ry(0.0019) q[4];
ry(-0.0044) q[5];
ry(0.8172) q[6];
ry(0.0491) q[7];
ry(0.2947) q[8];
ry(0.8976) q[9];
ry(0.0778) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz 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, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
-88670316365737960 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 7], [0, 1, 2, 6, 8], [0, 8, 4, 5], [0, 5, 6], [0, 4, 6], [3, 5, 6, 7], [3, 4, 6, 7, 8], [2, 3], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 6, 7], [1, 4, 5, 7], [1, 2, 5, 6, 7], [1, 3]]} | {"states": [459, 221], "expectation_value": -0.8767178169066576, "params": [[0.1777], [-0.1812]], "bitstrings": ["000110100", "100100010"], "total_optimization_steps": 20, "probabilities": [0.0034004535737378427, 0.003425002871204991], "optimization_time": 4.047800779342651} | 0.18333333333333335 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.23333333333333334 * (Z(1) @ Z(2)) + 0.1 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.183333333333334, "smallest_bitstrings": ["100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.0652) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0592) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.1481) q[4];
cx q[0], q[4];
cx q[2], q[7];
rz(0.0652) q[7];
cx q[2], 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": []} |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 26.439268589019775} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[4];
cry(0.1187) q[2], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186) q[0], q[2];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9f7e1930e99a261f250404639aae6ec3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [170, 174], "expectation_value": -4.503366814555836, "params": [[-0.1782, 0.9285, 0.0037, 0.7849, -0.004200000000000001, 0.9858, -0.2813, 0.9946, 0.1291], [0.4436, 0.8410000000000001, 0.002, 0.7848, -0.0036000000000000003, 0.9781000000000001, 0.6274000000000001, 0.993, -0.0161], [-0.1317, 0.6197, 0.001800000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + -0.5 * Z(6) + -0.5 * Z(0) + -0.5 * Z(8) + -1.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + -0.5 * Z(7) | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010101", "011000101", "101010001", "101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.1782) q[0];
ry(0.9285) q[1];
ry(0.0037) q[2];
ry(0.7849) q[3];
ry(-0.0042) q[4];
ry(0.9858) q[5];
ry(-0.2813) q[6];
ry(0.9946) q[7];
ry(0.1291) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3739356624238755155 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 4], [0, 3], [3, 4, 7], [5, 7], [1, 4], [0, 6]]} | {"states": [153, 137], "expectation_value": -0.9995616197768329, "params": [0.804, 0.08310000000000001, 0.8039000000000001, 0.0008, 0.8046000000000001, -0.1728, 0.5038, 0.0001, 0.8039000000000001, -0.1178, 0.506, 0.0097, 0.8019000000000001, -0.1642, 0.5923, 0.0057, 0.8016000000000001, 0.093, 0.8026000000000001, 0.0054,... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.16666666666666674 * Z(4) + 0.0 * Z(2) + 0.1666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.804) q[0];
rz(0.0831) q[0];
rx(0.8046) q[1];
rz(-0.1728) q[1];
rx(0.8039) q[2];
rz(-0.1178) q[2];
rx(0.8019) q[3];
rz(-0.1642) q[3];
rx(0.8016) q[4];
rz(0.093) q[4];
rx(0.7907) q[5];
rz(0.0626) q[5];
rx(0.8065) q[6];
rz(0.0805) q[6];
rx(0.8058) 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": []} |
74e5b8afd1f04f850c8f51ecde3fef19 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [883, 971], "expectation_value": -0.1496522939871302, "params": [[-0.0342, -0.0449, -0.046400000000000004], [0.031, 0.0507, 0.0574]], "bitstrings": ["0010001100", "0000110100"], "total_optimization_steps": 10, "probabilities": [0.001367635338534225, 0.0013678741790650831], "optimization_time": 22.87015366554... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.4375, "smallest_bitstrings": ["0000110100", "1000000101", "0001010010", "0010001100"]} | 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(-0.0043) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0043) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0043) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0043) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [0, 509], "expectation_value": -4.9928335058555415, "params": [[[0.0014, 0.7040000000000001], [-0.0102, -0.0012000000000000001], [-0.002, -0.0032], [-0.0029000000000000002, -0.0033], [0.0009000000000000001, -0.0016], [-0.0024000000000000002, 0.0023], [-0.0025, -0.0029000000000000002], [-0.010400000000000001,... | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 15 | 10 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0014) q[0];
ry(-0.0102) q[1];
ry(-0.002) q[2];
ry(-0.0029) q[3];
ry(0.0009) q[4];
ry(-0.0024) q[5];
ry(-0.0025) q[6];
ry(-0.0104) q[7];
ry(-0.0001) q[8];
ry(-0.0622) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
a04d81017c376d8b841363d6c9228571 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target": 9}, {"source": 0, "target": 3}, {"source": 1, "target":... | {"states": [462, 458], "expectation_value": -4.085021953834045, "params": [-0.0106, -0.0117, 0.8038000000000001, 0.808, 0.8075, 0.8113, 0.811, 0.8123, -0.0078000000000000005, -0.0166, -0.0155, -0.0134, 0.7988000000000001, 0.7897000000000001, 0.7891, 0.7972, 0.8063, 0.811, 0.5954, 0.6004, -0.0383, 0.0008, 0.4033, 0.0025... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(6) + -1.5 * Z(0) + 0.0 * ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010010101", "1000111001", "1000110101", "1100101001", "1100111000", "1100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0106) q[0];
ry(0.8038) q[1];
ry(0.8075) q[2];
ry(0.811) q[3];
ry(-0.0078) q[4];
ry(-0.0155) q[5];
ry(0.7988) q[6];
ry(0.7891) q[7];
ry(0.8063) q[8];
ry(0.5954) q[9];
crz(-0.0383) q[9], q[0];
crz(-0.082) q[8], q[9];
crz(-0.3391) q[7], q[8];
crz(0.4279) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [427, 238], "expectation_value": -1.0955519557981388, "params": [[-0.0402, -0.028, -0.0805], [0.055200000000000006, 0.0205, 0.0674]], "bitstrings": ["001010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.003235686017388188, 0.0032356860173881983], "optimization_time": 10.4364161491394... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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[2];
rz(-0.0402) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(-0.0402) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0402) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0402) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 10.399466753005981} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.5681) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[1];
cry(0.1186) q[1], q[2];
cry(-0.0027) q[3], q[0];
cry(-0.0027) q[3], q[4];
cry(0.0072)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
885062aa0c1a31cf5a193f1a32bffef7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [6890, 6906], "expectation_value": -2.549983403467399, "params": [[[0.7177, 0.0016, 0.0044, 0.0011], [0.6152000000000001, 0.3108, 0.1622, 0.0068000000000000005], [-0.07780000000000001, -0.1898, 0.008400000000000001, -0.19390000000000002], [0.6306, 0.10350000000000001, 0.7814, 0.0043], [0.1211, 0.0795, 0.0033... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 12 | 13 | 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, -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, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.7177) q[0];
rz(0.0016) q[0];
ry(0.6152) q[1];
rz(0.3108) q[1];
ry(-0.0778) q[2];
rz(-0.1898) q[2];
ry(0.6306) q[3];
rz(0.1035) q[3];
ry(0.1211) q[4];
rz(0.0795) q[4];
ry(0.8791) q[5];
rz(-0.0047) q[5];
ry(-0.4499) q[6];
rz(-0.0044) q[6];
ry(0.5228) 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] x11;
in... | null | {"circuits": [], "gradients": []} |
db3eea64102268372a279e794254c1af | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.06136647372359, "params": [-0.0033, 0.0082, -0.0029000000000000002, -0.9900000000000001, 1.6015000000000001, -0.0007, 0.0023, 0.0013000000000000002, -0.0027, 0.0031000000000000003, 0.0025, 0.0078000000000000005, 0.0023, 0.0088, -0.0027, 0.0008, 0.0022, 0.0098, 0.0023, 0.000... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 4 | 11 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0033) q[0];
rz(0.0082) q[0];
rx(-0.0029) q[1];
rz(-0.99) q[1];
rx(1.6015) q[2];
rz(-0.0007) q[2];
rx(0.0023) q[3];
rz(0.0013) q[3];
rx(-0.0027) q[4];
rz(0.0031) q[4];
rx(0.0025) q[5];
rz(0.0078) q[5];
rx(0.0023) q[6];
rz(0.0088) q[6];
rx(-0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
16aed950661228e73cbfe28c55f52a27 | 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": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [286, 248], "expectation_value": -25.62539772056664, "params": null, "bitstrings": ["011100001", "100000111"], "total_optimization_steps": 100, "probabilities": [0.06467488444422437, 0.17150031785397873], "optimization_time": 195.7049322128296} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"]} | 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(18.1327) q[2];
ry(-5.4392) q[3];
ry(29.358) q[4];
ry(0.8826) q[0];
ry(62.7798) q[1];
ry(11.5317) q[5];
cry(5.5437) q[0], q[3];
cry(63.2997) q[0], q[1];
cry(62.3508) q[1], q[3];
cry(30.7... | 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(18.1327) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 19.678418397903442} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[0];
cry(-0.1259) q[5], q[1];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[4];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2cd9688dd7e6e70fe4c6359393ef8382 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -1.2407466277989667, "params": [[0.07690000000000001, 0.07050000000000001], [-0.0848, -0.0687]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004407811309615365, 0.00449074769006464], "optimization_time": 7.534345626831055} | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111010", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0769) q[0];
cx q[2], q[0];
cx q[0], q[8];
rz(0.1154) q[8];
cx q[0], q[8];
cx q[2], q[1];
rz(-0.1154) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.2307) q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
410de29119bf216687baf857e8050953 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 255], "expectation_value": -15.09608350902314, "params": [[[-0.0026000000000000003, 1.6029], [0.0034000000000000002, 0.0027], [0.0032, -0.0031000000000000003], [-0.0027, 0.0026000000000000003], [0.0025, 0.0027], [0.0016, 0.0021000000000000003], [0.0016, 0.0023], [0.0026000000000000003, 0.0021000000000000... | -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0026) q[0];
ry(0.0034) q[1];
ry(0.0032) q[2];
ry(-0.0027) q[3];
ry(0.0025) q[4];
ry(0.0016) q[5];
ry(0.0016) q[6];
ry(0.0026) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 6} | {"circuits": [], "gradients": []} |
7d8cbe3f0cc7c1203f56a59f16c8ccd5 | 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": [360, 362], "expectation_value": -75.41252176543323, "params": [[[1.3297, 0.0511], [0.9561000000000001, 0.031200000000000002], [0.48960000000000004, 0.040100000000000004], [0.8851, 0.1288], [0.7222000000000001, 0.3718], [0.6515000000000001, 0.3149], [0.27390000000000003, 0.53], [0.2187, 1.2333], [0.0292, 1.0... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 16.0 * Z(3) + 1.5 * Z(2) + 25.0 * Z(1) + 0.5 * Z(0) + 5.0 * Z(5) + 2.5 * Z(4) + 17.5 * Z(6) + -2.5 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.0, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3297) q[0];
ry(0.9561) q[1];
ry(0.4896) q[2];
ry(0.8851) q[3];
ry(0.7222) q[4];
ry(0.6515) q[5];
ry(0.2739) q[6];
ry(0.2187) q[7];
ry(0.0292) q[8];
ry(0.0081) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-4593296184882121000 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 6], [1, 2, 4, 5, 7], [4, 6], [0, 1, 5, 6, 7], [3, 4, 5, 7], [0, 3, 6, 7], [0, 1, 3, 4, 5], [0, 1, 2, 3, 5], [2, 3, 7], [1, 2, 3, 4, 5], [0, 2, 4, 7]]} | {"states": [182, 217], "expectation_value": -0.0007482585225587618, "params": [[-0.0057], [0.0056]], "bitstrings": ["01001001", "00100110"], "total_optimization_steps": 10, "probabilities": [0.003908139653529976, 0.003908198202618768], "optimization_time": 4.109732389450073} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.18333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4666666666666677, "smallest_bitstrings": ["00100110"]} | 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(-0.0027) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0027) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0025) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0015) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9e3fd441307ea46e321a51e29b173f1a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 367], "expectation_value": -9.272661687393471, "params": [[-0.060000000000000005, -0.048400000000000006, -0.033800000000000004, -0.019100000000000002], [0.0721, 0.0763, 0.07780000000000001, 0.07590000000000001]], "bitstrings": ["11100010000", "11010010000"], "total_optimization_steps": 10, "probabiliti... | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 4 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11100010000", "11000000000", "11010010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[5], q[4];
rz(-0.24) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.12) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(-0.06) q[6];
cx q[4], q[6];
cx q[6], q[9];
rz(-0.06) q[9];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-5035186156446981099 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 3], [1, 6], [4, 5], [0, 5], [2, 4], [0, 4], [0, 1], [4, 6], [2, 6], [1, 4], [0, 3], [1, 5], [0, 6]]} | {"states": [82, 114], "expectation_value": -2.6662839687082927, "params": null, "bitstrings": ["0101101", "0001101"], "total_optimization_steps": 56, "probabilities": [0.20704921583404, 0.4417110366265647], "optimization_time": 83.18705821037292} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(5) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010011", "1010010", "1110010", "0001101", "0001111", "1110000", "0101100", "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];
cry(-1.0342) q[2], q[4];
cry(-1.0342) q[5], q[3];
ry(1.0293) q[2];
cry(1.4052) q[2], q[0];
cry(-0.9035) q[0], q[4];
cry(-0.7688) q[2], q[3];
cry(-1.3976) q[1], q[6];
ry(1.2198) q[5];
cry(0.3363) q[5], q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [483, 495], "expectation_value": -6.499681138601659, "params": null, "bitstrings": ["000011100", "000010000"], "total_optimization_steps": 76, "probabilities": [0.10546624444112213, 0.3163641961380933], "optimization_time": 70.85511064529419} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 5 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(1.5486) q[7], q[8];
cry(1.2305) q[8], q[7];
cry(1.5486) q[5], q[6];
cry(1.2305) q[6], q[5];
cry(1.5486) q[2], q[3];
cry(1.2305) q[3], q[2];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[... | null | {"node": 5} | {"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(1.5486) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
7af7d775bcaae53afe2e6cd801577577 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [0, 55], "expectation_value": -4.520090352664252, "params": [[[-0.1457, -0.0256, 0.0056, 0.0016], [-0.041600000000000005, 0.0613, -0.19990000000000002, 0.0183], [0.0018000000000000002, 1.2505000000000002, 0.0011, -0.9171], [0.0024000000000000002, 0.2358, -0.0979, -0.0019], [0.0025, 1.1504, 0.0028, -0.1628], ... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 11 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.1457) q[0];
rz(-0.0256) q[0];
ry(-0.0416) q[1];
rz(0.0613) q[1];
ry(0.0018) q[2];
rz(1.2505) q[2];
ry(0.0024) q[3];
rz(0.2358) q[3];
ry(0.0025) q[4];
rz(1.1504) q[4];
ry(0.0021) q[5];
rz(-0.3701) q[5];
ry(1.6117) q[6];
rz(0.4229) q[6];
cx q[1], q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
81d20d3b218a8ec1c0061ffc772373a5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [240, 248], "expectation_value": -3.0831168022875515, "params": [0.4042, -0.0005, 0.4035, 0.0032, 0.39980000000000004, 0.0024000000000000002, 0.4031, 0.0006000000000000001, 0.3927, 0.0034000000000000002, -0.0106, 0.2029, 0.3879, 0.10010000000000001, -0.0019, 0.1958, 0.40900000000000003, -0.0002, 0.4022, 0.00... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001101", "00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4042) q[0];
rz(-0.0005) q[0];
rx(0.4035) q[1];
rz(0.0032) q[1];
rx(0.3998) q[2];
rz(0.0024) q[2];
rx(0.4031) q[3];
rz(0.0006) q[3];
rx(0.3927) q[4];
rz(0.0034) q[4];
rx(-0.0106) q[5];
rz(0.2029) q[5];
rx(0.3879) q[6];
rz(0.1001) q[6];
rx(-0.0019) 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": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -2.9084274554268976, "params": [[-0.078, -0.08360000000000001, -0.0874, -0.0813], [0.0743, 0.07690000000000001, 0.0806, 0.078]], "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 10, "probabilities": [0.014965786362920716, 0.01496578636292073], "optimization_t... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.078) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.078) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(0.078) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(0.078) q[2];
cx q[5], q[2];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
3855709974827586501 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 2, 3, 5], [1, 2, 5], [0, 1, 5], [1, 2, 3], [0, 1, 2]]} | {"states": [47, 45], "expectation_value": -0.9351091850768083, "params": [[[2.6057, 0.001], [1.5458, 0.0059], [2.6308000000000002, 0.0049], [1.5864, 0.005200000000000001], [1.5643, 0.0085], [2.6167000000000002, 0.0083]]], "bitstrings": ["010000", "010010"], "total_optimization_steps": 270, "probabilities": [0.104967763... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(2.6057) q[0];
rz(0.001) q[0];
rx(1.5458) q[1];
rz(0.0059) q[1];
rx(2.6308) q[2];
rz(0.0049) q[2];
rx(1.5864) q[3];
rz(0.0052) q[3];
rx(1.5643) q[4];
rz(0.0085) q[4];
rx(2.6167) q[5];
rz(0.0083) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
-2194058151247077681 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [0, 2, 3, 5, 6, 8, 9, 10], [0, 3, 4, 6, 10], [0, 1, 3, 5, 6, 7, 8, 9, 10]]} | {"states": [1965, 1453], "expectation_value": -0.5972295397965185, "params": [1.4148, -0.0027, 1.4138000000000002, 0.0015, 0.7558, 0.4973, 0.7526, 0.0024000000000000002, 1.0249000000000001, 0.43160000000000004, 1.0513000000000001, 0.0051, 1.4134, 0.1259, 1.4152, 0.0041, 0.6557000000000001, 0.4667, 0.6546000000000001, 0... | 0.025 * (Z(0) @ Z(1)) + 0.011111111111111112 * (Z(2) @ Z(1)) + 0.02896825396825397 * (Z(2) @ Z(0)) + 0.025 * (Z(3) @ Z(1)) + 0.09285714285714286 * (Z(3) @ Z(0)) + 0.02896825396825397 * (Z(3) @ Z(2)) + 0.011111111111111112 * (Z(4) @ Z(1)) + 0.061111111111111116 * (Z(4) @ Z(0)) + 0.011111111111111112 * (Z(4) @ Z(2)) + 0.... | 7 | 11 | 1 | {"smallest_eigenvalues": [-0.7119047619047623], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.7119047619047622, "smallest_bitstrings": ["01001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4148) q[0];
rz(-0.0027) q[0];
rx(0.7558) q[1];
rz(0.4973) q[1];
rx(1.0249) q[2];
rz(0.4316) q[2];
rx(1.4134) q[3];
rz(0.1259) q[3];
rx(0.6557) q[4];
rz(0.4667) q[4];
rx(1.3547) q[5];
rz(0.2485) q[5];
rx(0.709) q[6];
rz(0.4531) q[6];
rx(1.3619) 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": []} |
9208819526871746266 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [1, 2, 4, 7, 8], [1, 2, 4, 5, 6], [8, 0, 3, 1], [8, 3, 5], [8, 3, 7], [0, 2, 4, 6, 7], [0, 2, 3, 5, 6, 7], [0, 1, 2, 6, 7, 8], [1, 2, 5, 6, 7, 8]]} | {"states": [415, 446], "expectation_value": -1.3890834059143369, "params": [[-0.36200000000000004], [0.374]], "bitstrings": ["001100000", "001000001"], "total_optimization_steps": 40, "probabilities": [0.006267981134564017, 0.006515870728189445], "optimization_time": 6.221864223480225} | 0.21666666666666667 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.2 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(3)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.283333333333333, -2.283333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.2499999999999996, "smallest_bitstrings": ["001000001", "000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.1569) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0603) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0965) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.1448) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
650b49d36654090517b0483e65311494 | 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": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 7}, {"weight": 14, "sourc... | {"states": [427, 234], "expectation_value": -21.305825108378947, "params": [[-0.0342, 0.0017000000000000001], [0.0752, 0.0733]], "bitstrings": ["001010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006172316740571087, 0.008314273450292831], "optimization_time": 3.107985019683838} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 18.5 * Z(2) + 9.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.342) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.342) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.342) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(-0.342) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
a093ae3716e2ae1185108c6b332a6413 | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [195, 194], "expectation_value": -5.474807934025361, "params": [2.4013, -0.0031000000000000003, 2.3994, 0.0378, 0.0026000000000000003, 0.194, 0.0013000000000000002, -0.0019, 0.0025, -0.0407, -0.0013000000000000002, 0.1447, 2.4090000000000003, 0.0032, 1.3835000000000002, 0.0067, 0.7776000000000001, -0.7512000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(2) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["01111100", "11010011", "00101111", "00111101", "01101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.4013) q[0];
rz(-0.0031) q[0];
rx(2.3994) q[1];
rz(0.0378) q[1];
rx(0.0026) q[2];
rz(0.194) q[2];
rx(0.0013) q[3];
rz(-0.0019) q[3];
rx(0.0025) q[4];
rz(-0.0407) q[4];
rx(-0.0013) q[5];
rz(0.1447) q[5];
rx(2.409) q[6];
rz(0.0032) q[6];
rx(1.3835) 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": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [167, 239], "expectation_value": -6.663501812628919, "params": [[-0.0303, -0.0567, -0.0029000000000000002], [0.0796, 0.1527, 0.15960000000000002]], "bitstrings": ["101011000", "100010000"], "total_optimization_steps": 20, "probabilities": [0.006472178733401442, 0.0068006710131086725], "optimization_time": 12... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.1212) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.1212) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0606) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.0606) q[0];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [31, 1], "expectation_value": -0.5312475562109603, "params": [[0.07050000000000001], [-0.0755]], "bitstrings": ["100000", "111110"], "total_optimization_steps": 10, "probabilities": [0.01968679196287214, 0.019835345610021697], "optimization_time": 1.2295045852661133} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"]} | 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(-0.1058) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.141) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(-0.1058) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(-0.1058) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -3.0434938645529925, "params": [[0.07010000000000001], [-0.057100000000000005]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.010550731070756096, 0.011012081629093031], "optimization_time": 4.78281831741333} | 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": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.3155) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3155) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3155) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3155) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} |
4100956486e3cd626bf6b734439a9442 | 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": 4, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [190, 41], "expectation_value": -4.824792873362474, "params": [[-0.0796, -0.0796, -0.0771], [0.079, 0.079, 0.0785]], "bitstrings": ["01000001", "11010110"], "total_optimization_steps": 10, "probabilities": [0.018134403245624143, 0.02070472947391881], "optimization_time": 4.948524713516235} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"]} | 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(0.1592) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1592) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.199) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.1194) q[1];
cx q[5], q[1];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [9, 3], "expectation_value": -3.7791316627661966, "params": [[0.07150000000000001, 0.0517, 0.0599], [-0.08320000000000001, -0.0538, -0.063]], "bitstrings": ["10110", "11100"], "total_optimization_steps": 10, "probabilities": [0.06651021049534699, 0.06915336327313046], "optimization_time": 3.3460612297058105} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2503) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2503) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2503) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.286) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.286) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [1, 5], "expectation_value": -11.2481057368243, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 23, "probabilities": [0.4998277942533563, 0.4999999999924525], "optimization_time": 23.660472869873047} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5709) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(-1.5679) q[3];
cry(-0.1259) q[7], q[2];
cry(-0.037) q[7], q[0];
cry(0.0371) q[5], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
7404915381873128811 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 9, 10, 12], [1, 2, 5, 8, 10, 12], [2, 4, 5, 7, 8, 11], [1, 2, 4, 6, 8, 10, 12], [0, 1, 3, 5, 6], [9, 4], [4, 5, 6, 7, 8, 10, 11], [0, 2, 3, 7, 8, 12], [11, 4, 12], [0, 1, 4, 6, 10], [3, 11, 5, 6], [1, 2, 11], [5, 6, 7, 8, 11, 12], [10, 2, 11... | {"states": [4085, 4069], "expectation_value": -3.28590250880655, "params": [0.6805, 0.7843, 1.4914, 1.4874, 1.4937, 1.496, 1.4883000000000002, 1.487, 1.4615, 1.2843, 1.4782000000000002, 1.483, 1.4867000000000001, 1.481, 1.2966, 1.4894, 0.6549, 0.6672, 0.2919, 0.2756, 1.4841, 1.4881, 1.4886000000000001, 1.4953, 1.4942, ... | 0.06666666666666667 * (Z(0) @ Z(2)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.14047619047619048 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(9) @ Z(2)) + 0.05714285714285714 * (Z(9) @ Z(0)) + 0.05714285714285714 * (Z(9) @ Z(3)) + 0.2571428571428571 * (Z(10) @ Z(2)) + 0.10714285714285715 * (Z(10) @ Z(0)) + 0.0571428571428... | 14 | 13 | 1 | {"smallest_eigenvalues": [-4.042857142857143], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9071428571428584, "smallest_bitstrings": ["1000000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6805) q[0];
ry(1.4914) q[1];
ry(1.4937) q[2];
ry(1.4883) q[3];
ry(1.4615) q[4];
ry(1.4782) q[5];
ry(1.4867) q[6];
ry(1.2966) q[7];
ry(0.6549) q[8];
ry(0.2919) q[9];
ry(1.4841) q[10];
ry(1.4886) q[11];
ry(1.4942) q[12];
crx(0.2894) q[12], q[0];
crx(0.306... | 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": []} |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 11.38095498085022} | 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(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
cry(-1.0342) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[0];
ry(-0.4549) q[1];
ry(-0.4549) q[2];
cry(0.4578) q[4], q[0];
cry(0.4515) q[0], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
167de87ac8ecd264944bce456eb0ffa8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [63, 511], "expectation_value": -0.29502421539413803, "params": [[-0.0468], [0.0575]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0022877243869199254, 0.0023192526211644163], "optimization_time": 2.7232768535614014} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1872) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1872) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0468) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.0936) q[3];
cx q[4], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"node": 2} | {"circuits": [], "gradients": []} |
18312d59afcaa473ce6d4f831ea41fc6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1935, 2047], "expectation_value": -17.821693679997306, "params": null, "bitstrings": ["00001110000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.08079914147374027, 0.47324054050227515], "optimization_time": 223.1832993030548} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ 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)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.5708) q[0], q[3];
cry(1.5706) q[9], q[10];
cry(1.5708) q[10], q[7];
cry(1.5689) q[7], q[8];
cry(1.2087) q[7], q[9];... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
5423c73a68fe47c6453c3bd130085afd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [1381, 1397], "expectation_value": -2.5237411711388504, "params": [0.7706000000000001, 0.7703, 0.0105, 0.0117, 0.7845000000000001, 0.7844, -0.0059, -0.0019, 0.5717, 0.5880000000000001, 0.7203, 0.7226, 0.446, 0.46280000000000004, 0.1816, 0.1841, 0.7843, 0.7856000000000001, 0.0523, 0.0422, 0.7704000000000001, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 28, "first_excited_energy": -2.25, "smallest_bitstrings": ["001... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7706) q[0];
ry(0.0105) q[1];
ry(0.7845) q[2];
ry(-0.0059) q[3];
ry(0.5717) q[4];
ry(0.7203) q[5];
ry(0.446) q[6];
ry(0.1816) q[7];
ry(0.7843) q[8];
ry(0.0523) q[9];
ry(0.7704) q[10];
crx(0.6331) q[10], q[0];
crx(-0.1129) q[9], q[10];
crx(-0.4814) 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[... | null | {"circuits": [], "gradients": []} |
38d3fa2976b5708749ef569b176bf86a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -1.4085054282805833, "params": [[-0.078, -0.0795], [0.0736, 0.0734]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.05148178277071795, 0.05846508368312472], "optimization_time": 1.8038091659545898} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -2.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(3) + -0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.117) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.234) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.429) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.078) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.156) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
836c884d7f0cabd4f561d6ff6961863c | 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": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [63, 125], "expectation_value": -2.2499205214367226, "params": [[0.0026000000000000003, 0.0022, 0.0036000000000000003, -0.7438, -0.8308000000000001, -0.0022, 0.0024000000000000002, -0.0027], [-0.003, 0.0005, 0.0025, 0.7695000000000001, 0.7725000000000001, -0.0025, 0.0063, -0.003], [0.9154, 0.2039, 0.7692, 0.... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 9 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
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(0.0026) q[0];
rx(0.0022) q[1];
rx(0.0036) q[2];
rx(-0.7438) q[3];
rx(-0.8308) q[4];
rx(-... | 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": []} |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -0.3427533657075198, "params": [[-0.0731], [0.0684]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.01725211995211135, 0.01819560940294744], "optimization_time": 1.9275853633880615} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["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[1], q[0];
rz(-0.0731) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0731) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0731) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0731) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0... | null | {"circuits": [], "gradients": []} |
08001f7809047c9916eccba32bd6413f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -16.530572712674036, "params": [[[0.0027, 1.6106], [0.0022, 0.003], [0.0016, 0.0023], [0.0016, 0.0019], [-0.0031000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.0025], [0.0024000000000000002, 0.5301], [0.002, 0.0022], [-0.0033, 0.0025], [-0.0035, 0.0031000000... | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + 0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0027) q[0];
ry(0.0022) q[1];
ry(0.0016) q[2];
ry(0.0016) q[3];
ry(-0.0031) q[4];
ry(0.0024) q[5];
ry(0.0024) q[6];
ry(0.002) q[7];
ry(-0.0033) q[8];
ry(-0.0035) q[9];
ry(0.0026) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [73, 75], "expectation_value": -9.496393832694867, "params": null, "bitstrings": ["110110110", "110110100"], "total_optimization_steps": 41, "probabilities": [0.37650477325892784, 0.3777717933096009], "optimization_time": 47.41694617271423} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
cry(-1.5708) q[8], q[3];
cry(-1.5681) q[8], q[1];
cry(-1.5486) q[8], q[6];
cry(1.4449) q[2], q[5];
cry(1.0464) q[5], q[2];
cry(0.0421) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.17379658301379564, "params": [[0.07060000000000001, 0.0391], [-0.0762, -0.0429]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.03637103780328614, 0.03743000227823587], "optimization_time": 1.670799732208252} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0353) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0706) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.1059) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.0706) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0706) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -2.625603114405524, "params": [[-0.012400000000000001, -0.029900000000000003, -0.0367, -0.035], [-0.0056, 0.032100000000000004, 0.0414, 0.042100000000000005]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.024189067915003203, 0.024801239... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 11 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0434) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0434) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0434) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0434) q[4];
cx q[1], q[4];
cx q[0], q[4];
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[... | {"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": 16.232529401779175} | 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 | 4 | {"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... |
199774378666556344 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 3], [1, 5], [3, 5], [3, 4], [4, 5], [0, 4]]} | {"states": [26, 37], "expectation_value": -0.06915925328493572, "params": [[0.0758], [-0.0666]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.017220421437892482, 0.017220421437892482], "optimization_time": 2.1116678714752197} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(0.0758) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.0758) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(0.0758) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(0.0758) q[5];
cx q[1], q[5];
cx q[3], q[4];
rz(0.0758... | 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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -2.838724855327932, "params": null, "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 52, "probabilities": [0.08383982851123065, 0.6270265834518883], "optimization_time": 134.75828576087952} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.4449) q[0];
ry(1.3806) q[2];
cry(-1.3016) q[6], q[5];
ry(1.2971) q[1];
cry(-1.2962) q[3], q[4];
ry(1.0184) q[7];
cry(-0.4703) q[3], q[5];
cry(0.8318) q[3], q[6];
cry(-0.4248) q[6], q[4];
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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
1f4bbfe7446d68943a04b00ebacd5a62 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]} | {"states": [54, 59], "expectation_value": -0.002723903411045142, "params": [[0.0082], [-0.014400000000000001]], "bitstrings": ["1001001", "1000100"], "total_optimization_steps": 10, "probabilities": [0.007832870777974798, 0.007840273090760635], "optimization_time": 1.2101290225982666} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000100"]} | 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(0.0082) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0082) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(0.0082) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(0.0082) q[3];
cx q[0], q[3];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
7ec8fa58ab987d86e7bcca46f0ed5fdd | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [208, 216], "expectation_value": -4.945534008217361, "params": [0.5992000000000001, 0.0008, 0.5997, -0.0024000000000000002, -0.0145, 0.3775, 0.6024, 0.0134, 0.5946, -0.0016, 0.0025, 0.37410000000000004, -0.0044, 0.3341, -0.0155, 0.34400000000000003, 0.5991000000000001, 0.0007, 0.5994, -0.0017000000000000001,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 *... | 3 | 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(0.5992) q[0];
rz(0.0008) q[0];
rx(0.5997) q[1];
rz(-0.0024) q[1];
rx(-0.0145) q[2];
rz(0.3775) q[2];
rx(0.6024) q[3];
rz(0.0134) q[3];
rx(0.5946) q[4];
rz(-0.0016) q[4];
rx(0.0025) q[5];
rz(0.3741) q[5];
rx(-0.0044) q[6];
rz(0.3341) q[6];
rx(-0.0155) 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": []} |
f619afa25c1921f996d128a1dfefef72 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [0, 2], "expectation_value": -2.2545155817272513, "params": [0.0022, 0.0068000000000000005, 1.4731, 0.0006000000000000001, -0.0024000000000000002, 0.0088, 1.6636000000000002, 0.006200000000000001, -0.0027, 0.0085, 0.0074, 0.0048000000000000004, 0.0068000000000000005, 0.0061, 0.0071], "bitstrings": ["11111", ... | 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(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0022) q[0];
rz(0.0068) q[0];
rx(1.4731) q[1];
rz(0.0006) q[1];
rx(-0.0024) q[2];
rz(0.0088) q[2];
rx(1.6636) q[3];
rz(0.0062) q[3];
rx(-0.0027) q[4];
rz(0.0085) q[4];
crz(0.0074) q[4], q[0];
crz(0.0071) q[3], q[4];
crz(0.0061) q[2], q[3];
crz(0.0068) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -10.196521263099706, "params": [0.0193, 0.6298, 0.0043, 0.5641, -0.0046, 0.3871, 0.0028, 0.8403, -0.7584000000000001, -0.0057, -0.9892000000000001, -0.0009000000000000001, 0.6632, -0.0028, 0.4469, -0.0054, 0.0023, 0.5361, -0.0064, 0.8404, -0.34500000000000003, -0.002600000000000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 6 | 7 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0193) q[0];
rz(0.6298) q[0];
rx(-0.0046) q[1];
rz(0.3871) q[1];
rx(-0.7584) q[2];
rz(-0.0057) q[2];
rx(0.6632) q[3];
rz(-0.0028) q[3];
rx(0.0023) q[4];
rz(0.5361) q[4];
rx(-0.345) q[5];
rz(-0.0026) q[5];
rx(0.6711) q[6];
rz(0.0003) q[6];
crx(-0.4639) 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] 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 floa... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
23c6590e387f05fe94993d0724eddf92 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -21.952336411410784, "params": [[-0.0324, 0.0098], [0.0815, 0.061700000000000005]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005496965603290275, 0.007591675733995402], "optimization_time": 3.7312490940093994} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2916) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.2916) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.2916) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.2916) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
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