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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
668f90355fba57bcb4fb60386433c90f | 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": 10, "source": 0, "... | {"states": [171, 107], "expectation_value": -22.549004690774357, "params": [[-0.0422, -0.0026000000000000003, 0.0126], [0.0697, 0.07010000000000001, 0.0694]], "bitstrings": ["01010100", "10010100"], "total_optimization_steps": 10, "probabilities": [0.016205820854216124, 0.018011985968329036], "optimization_time": 4.405... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
rz(-0.3798) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.3798) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3798) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.3798) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
0411bb1d6e6dbee927745193cc5513fc | 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": [525, 527], "expectation_value": -97.60060562207079, "params": [[[1.0868, -0.0028], [0.1895, 0.0028], [0.0383, -0.00030000000000000003], [0.4475, -0.004200000000000001], [0.4469, -0.0016], [0.0023, -0.0061], [1.0946, 0.6629], [0.10840000000000001, 0.7012], [0.5383, 0.7235], [0.7596, 0.1565]], [[0.5211, -0.00... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 14.0 * Z(0) + -5.5 * Z(1) + 3.5 * Z(4) + 15.5 * Z(6) + 3... | 15 | 10 | 4 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.0868) q[0];
ry(0.1895) q[1];
ry(0.0383) q[2];
ry(0.4475) q[3];
ry(0.4469) q[4];
ry(0.0023) q[5];
ry(1.0946) q[6];
ry(0.1084) q[7];
ry(0.5383) q[8];
ry(0.7596) 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, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.2705789126748552, "params": [0.4066, 0.005200000000000001, 0.0009000000000000001, 0.31820000000000004, 0.0028, 0.223, 0.002, 0.29760000000000003, 0.40650000000000003, 0.0066, 0.0054, 0.31620000000000004, 0.0046, 0.2896, 0.0015, 0.29760000000000003, 0.4001, 0.0077, 0.0012000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 18 | 4 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.4066) q[0];
rz(0.0052) q[0];
rx(0.0009) q[1];
rz(0.3182) q[1];
rx(0.0028) q[2];
rz(0.223) q[2];
rx(0.002) q[3];
rz(0.2976) q[3];
crz(-0.2802) q[3], q[0];
crz(-0.215) q[2], q[3];
crz(-0.3015) q[1], q[2];
crz(0.0004) q[0], q[1];
rx(0.4065) q[0];
rz(0.0066) ... | OPENQASM 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": []} |
a748f2da2700c98e3b57fef1b29c5a5b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [508, 511], "expectation_value": -14.259531545883098, "params": null, "bitstrings": ["1000000011", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.12688845922082453, 0.4182739452820695], "optimization_time": 203.25519704818726} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[3], q[4];
cry(1.5708) q[4], q[2];
cry(1.4058) q[4], q[1];
cry(0.1974) q[2], q[3];
cry(-0.0006) q[1], q[3];
ry(-0.1913) q[3];
cry(0.1686) q[4], q[3];
cry(1.0024) q[9... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[3], 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] = measu... |
bb78aafd3760534f3907e4f69dd6636f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -13.491786359449804, "params": [[[-0.0111, -0.5615], [0.0071, -0.031100000000000003], [0.0019, -0.0025], [0.003, 0.0036000000000000003], [0.0028, 0.0025], [0.0021000000000000003, 0.0019], [0.0023, 0.002], [0.0022, -0.0019], [0.0021000000000000003, 0.0025], [0.0025, 0.0011],... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(10)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(10)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(11)) + -0.... | 15 | 12 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0111) q[0];
ry(0.0071) q[1];
ry(0.0019) q[2];
ry(0.003) q[3];
ry(0.0028) q[4];
ry(0.0021) q[5];
ry(0.0023) q[6];
ry(0.0022) q[7];
ry(0.0021) q[8];
ry(0.0025) q[9];
ry(-0.5676) q[10];
ry(-0.0184) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 21.019670248031616} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5681) q[6], q[0];
ry(1.111) q[6];
ry(-1.5706) q[2];
ry(-1.5708) q[4];
ry(-0.5668) q[0];
ry(1.5576) q[3];
cry(0.3562) q[3], q[6];
cry(-0.1713) q[3], q[0];
cry(0.0835) q[1], q[6];
cry(-0.0377) q[1], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-8103220920717917465 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1], [2, 4], [1, 5], [0, 6]]} | {"states": [70, 90], "expectation_value": -2.2191423124885197, "params": null, "bitstrings": ["0111001", "0100101"], "total_optimization_steps": 51, "probabilities": [0.052063601619959925, 0.7254796052825258], "optimization_time": 46.65211844444275} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0111001", "1011010", "0100101", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[5], q[1];
cry(-1.0342) q[0], q[6];
ry(1.0293) q[0];
ry(-0.6992) q[6];
ry(0.7003) q[5];
cry(-0.795) q[0], q[1];
cry(0.668) q[0], q[5];
cry(0.3724) q[5], q[0];
ry(0.7... | 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[3], 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... |
a3a1ede6c1588ccbe2b203bec8f93c99 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2514, 2386], "expectation_value": -105.9016998442323, "params": [-0.0022, 0.6245, 1.2032, 0.059300000000000005, 0.42500000000000004, 0.637, -0.0024000000000000002, 0.8091, 1.208, 0.0117, 0.7709, -0.2726, 1.1945000000000001, -0.0867, 0.7112, 0.5365, 1.2066000000000001, 0.366, 0.0026000000000000003, 0.8198000... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(6)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(1)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(11) @ Z(5)) + 8.5 * (Z(12) @ Z(11)) + 0.5 * Z(2) + 7.0 * Z(1) + 15.5 * Z(6) + -5.5 * Z(0) + 15.0 * Z(4) + -8.0 * ... | 16 | 13 | 2 | {"smallest_eigenvalues": [-155.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -138.0, "smallest_bitstrings": ["1011010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0022) q[0];
rz(0.6245) q[0];
rx(1.2032) q[1];
rz(0.0593) q[1];
rx(0.425) q[2];
rz(0.637) q[2];
rx(-0.0024) q[3];
rz(0.8091) q[3];
rx(1.208) q[4];
rz(0.0117) q[4];
rx(0.7709) q[5];
rz(-0.2726) q[5];
rx(1.1945) q[6];
rz(-0.0867) q[6];
rx(0.7112) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [366, 110], "expectation_value": -11.671466982746454, "params": [[-0.016300000000000002, 0.040100000000000004], [0.011300000000000001, -0.0536]], "bitstrings": ["010010001", "110010001"], "total_optimization_steps": 10, "probabilities": [0.0032246995170109234, 0.003513341158046296], "optimization_time": 7.49... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | 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(-0.1467) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.1467) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.1467) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.1467) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 1], "expectation_value": -9.134829720899567, "params": [[0.0572], [-0.0813]], "bitstrings": ["111101", "111110"], "total_optimization_steps": 10, "probabilities": [0.02460944547873325, 0.026113530705297996], "optimization_time": 2.457714080810547} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 16 | 6 | 1 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.3146) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3146) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3146) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3146) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3146... | 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[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 5} | {"circuits": [], "gradients": []} |
589a81c8fd04d28f25b3e8e25563f55c | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -1.0262572607075526, "params": [[0.07440000000000001, 0.0673, 0.051300000000000005], [-0.0816, -0.0699, -0.0543]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007859382172743847, 0.008596822327130653], "optimization_time": 3.665... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0372) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(-0.0744) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.1116) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(-0.1488) q[2];
cx q[3], q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -5.72904216151849, "params": [[0.2581], [-0.27540000000000003]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 30, "probabilities": [0.0023148481506810293, 0.0023148481506810297], "optimization_time": 6.331066131591797} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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[9], q[5];
rz(0.2581) q[5];
cx q[9], q[5];
cx q[9], q[6];
rz(0.2581) q[6];
cx q[9], q[6];
cx q[5], q[6];
rz(0.5162) q[6];
cx q[5], q[6];
cx q[9], q[3];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | 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": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 25.074562072753906} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5708) q[5], q[2];
ry(1.5708) q[6];
cry(-1.5708) q[6], q[0];
cry(-1.5708) q[6], q[4];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.4056) q[2];
ry(-1.2553) q[5];
cry(-0.801) q[6], q[2];
cry(-0.017) q[6],... | 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];\ncry(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1764, 1765], "expectation_value": -17.64708481146184, "params": [0.0027, 0.9800000000000001, 0.0026000000000000003, 0.9164, 1.1094000000000002, 1.0376, 1.3842, 0.392, -0.0196, 0.9356000000000001, 1.3965, 0.007200000000000001, 1.4023, -0.0019, 1.3913, 0.0079, 0.0024000000000000002, 0.9515, 0.0021000000000000... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 2 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0027) q[0];
rz(0.98) q[0];
rx(0.0026) q[1];
rz(0.9164) q[1];
rx(1.1094) q[2];
rz(1.0376) q[2];
rx(1.3842) q[3];
rz(0.392) q[3];
rx(-0.0196) q[4];
rz(0.9356) q[4];
rx(1.3965) q[5];
rz(0.0072) q[5];
rx(1.4023) q[6];
rz(-0.0019) q[6];
rx(1.3913) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 167.66089415550232} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[1];
ry(63.0969) q[3];
cry(62.818) q[1], q[3];
ry(37.6583) q[5];
cry(3.9267) q[1], q[5];
ry(-9.2102) q[7];
cry(-21.3283) q[1], q[7];
cry(-7.49) q[7], q[3];
ry(62.913) q[2];
cry(62.8534... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"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(7.7632) 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[... |
5b1b8be5e968ea2e2c88472859e2d934 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 10}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 1, "source"... | {"states": [0, 2047], "expectation_value": -18.587842258944256, "params": [[[0.004200000000000001, -0.5413], [-0.0029000000000000002, 0.00030000000000000003], [-0.0032, -0.0022], [-0.0031000000000000003, 0.0021000000000000003], [-0.0033, -0.0022], [-0.0026000000000000003, 0.002], [-0.0022, -0.0025], [-0.0028, -0.003], ... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0042) q[0];
ry(-0.0029) q[1];
ry(-0.0032) q[2];
ry(-0.0031) q[3];
ry(-0.0033) q[4];
ry(-0.0026) q[5];
ry(-0.0022) q[6];
ry(-0.0028) q[7];
ry(-0.0017) q[8];
ry(-0.0029) q[9];
ry(0.0027) q[10];
ry(-1.6248) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 20.61137557029724} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5709) q[6];
ry(-1.57) q[0];
ry(-1.4894) q[3];
ry(-1.5708) q[2];
ry(-1.5706) q[4];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
cry(0.5085) q[6], q[3];
cry(0.4107) q[6], q[0];
cry(-0.3036) q[3], q[0];
cry(-0.0... | 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-6439289798540471241 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 4], [9, 2, 5, 1], [0, 2, 3], [0, 2, 4, 6], [9, 2, 4], [8, 9, 2, 3], [8, 0, 7], [8, 2, 6], [0, 2, 5], [8, 0, 6]]} | {"states": [643, 899], "expectation_value": -2.9680653277194433, "params": [1.5748, 1.5726, 0.9608000000000001, 0.9012, 2.2523, 0.926, -0.09580000000000001, 0.1263, 0.0645, -0.0699, 0.0005, 0.0061, 0.4626, 0.4736, -0.023200000000000002, 0.0097, 1.087, 2.1359, 1.5211000000000001, 1.5616, 0.4893, 0.528, 0.0149, 0.2388, 1... | 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333344, "smallest_bitstrings": ["0001111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5748) q[0];
ry(0.9608) q[1];
ry(2.2523) q[2];
ry(-0.0958) q[3];
ry(0.0645) q[4];
ry(0.0005) q[5];
ry(0.4626) q[6];
ry(-0.0232) q[7];
ry(1.087) q[8];
ry(1.5211) q[9];
crx(0.4893) q[9], q[0];
crx(1.2028) q[8], q[9];
crx(1.4246) q[7], q[8];
crx(0.0184) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7998604051731201131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 6, 7], [4, 7], [11, 5, 7], [9, 5], [1, 10, 11], [9, 4], [3, 11, 6], [11, 1, 3, 5], [8, 1, 10, 4], [2, 7], [8, 5, 6, 7], [8, 9, 3, 6], [0, 2, 4, 6], [0, 11, 5, 6], [0, 8, 4, 5], [0, 9, 11, 6], [3, 7], [8, 1, 6, 7], [1, 2, 10], [8, 2], [8, 1, 3], [1... | {"states": [2938, 890], "expectation_value": -6.728003080625447, "params": [1.5190000000000001, 0.0077, 0.6643, 0.0092, 3.1446, 0.0098, 2.7846, 0.0016, -0.0021000000000000003, 0.0098, 3.1445000000000003, 0.0061, 2.7547, 0.0047, 3.1445000000000003, 0.001, 3.1445000000000003, 0.0005, 0.0025, 0.0068000000000000005, 3.1446... | 0.16666666666666666 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(8) @ Z(3)) + 0.49999999999999994 * (Z(8) @ Z(11)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.49999999999999994 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 *... | 16 | 12 | 1 | {"smallest_eigenvalues": [-7.166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.833333333333331, "smallest_bitstrings": ["110010000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.519) q[0];
rz(0.0077) q[0];
rx(0.6643) q[1];
rz(0.0092) q[1];
rx(3.1446) q[2];
rz(0.0098) q[2];
rx(2.7846) q[3];
rz(0.0016) q[3];
rx(-0.0021) q[4];
rz(0.0098) q[4];
rx(3.1445) q[5];
rz(0.0061) q[5];
rx(2.7547) q[6];
rz(0.0047) q[6];
rx(3.1445) 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": []} |
e0516bb518ee285d23a8010370ebd407 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [96, 108], "expectation_value": -6.499934083914853, "params": null, "bitstrings": ["0011111", "0010011"], "total_optimization_steps": 35, "probabilities": [1.3834362571562368e-05, 0.9999481823871559], "optimization_time": 33.593350410461426} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ 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(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[6];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[3];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[1];
cry(0.1188) q[1], q[0];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e2a1dd8d1e083192a6b4cbfd3d9c358e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [78, 76], "expectation_value": -2.289572674308328, "params": [[[0.6093000000000001, -0.0034000000000000002], [0.1539, 0.2318], [0.0017000000000000001, 0.44320000000000004], [0.5476, -0.0057], [0.6044, 0.002], [0.5145000000000001, -0.0332], [0.0038, 0.37510000000000004]], [[0.6065, -0.0035], [0.1565, 0.2318],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110011", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6093) q[0];
rz(-0.0034) q[0];
rx(0.1539) q[1];
rz(0.2318) q[1];
rx(0.0017) q[2];
rz(0.4432) q[2];
rx(0.5476) q[3];
rz(-0.0057) q[3];
rx(0.6044) q[4];
rz(0.002) q[4];
rx(0.5145) q[5];
rz(-0.0332) q[5];
rx(0.0038) q[6];
rz(0.3751) q[6];
rx(0.6065) q[0];
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": []} |
0d4975981166b2874d2e3fb8df49ba97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -74.26411687454824, "params": [0.0344, 0.37870000000000004, 0.7943, 0.0009000000000000001, 0.7943, 0.08410000000000001, 0.3427, 0.2462, 0.7851, 0.11950000000000001, 0.1885, 0.3123, 0.7899, -0.0041, 0.7912, 0.16620000000000001, 0.1814, 0.3527, 0.0297, 0.38170000000000004, 0.79... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 18 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0344) q[0];
rz(0.3787) q[0];
rx(0.7943) q[1];
rz(0.0009) q[1];
rx(0.7943) q[2];
rz(0.0841) q[2];
rx(0.3427) q[3];
rz(0.2462) q[3];
rx(0.7851) q[4];
rz(0.1195) q[4];
rx(0.1885) q[5];
rz(0.3123) q[5];
rx(0.7899) q[6];
rz(-0.0041) q[6];
rx(0.7912) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] 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], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [24502, 22454], "expectation_value": -6.155575256516435, "params": [[[3.1459, 0.0055000000000000005], [1.0731, 0.0059], [3.1473, 0.0041], [1.512, 0.0027], [3.1398, 0.004], [3.14, 0.0051], [2.5222, 0.0037], [3.1384000000000003, 0.007500000000000001], [1.3061, 0.0092], [3.1454, 0.0005], [2.2721, 0.004500000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-7.99999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999974, "smallest_bitstrings": ["010100001001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(3.1459) q[0];
rz(0.0055) q[0];
rx(1.0731) q[1];
rz(0.0059) q[1];
rx(3.1473) q[2];
rz(0.0041) q[2];
rx(1.512) q[3];
rz(0.0027) q[3];
rx(3.1398) q[4];
rz(0.004) q[4];
rx(3.14) q[5];
rz(0.0051) q[5];
rx(2.5222) q[6];
rz(0.0037) q[6];
rx(3.1384) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
885062aa0c1a31cf5a193f1a32bffef7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [40, 22], "expectation_value": -2.6247718801942987, "params": [[-0.0613, -0.06620000000000001, -0.07250000000000001, -0.08510000000000001], [0.07200000000000001, 0.0711, 0.0711, 0.0772]], "bitstrings": ["1010111", "1101001"], "total_optimization_steps": 10, "probabilities": [0.021541298226766196, 0.025602713... | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0613) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0613) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0613) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0613) q[3];
cx q[0], 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[... | null | {"circuits": [], "gradients": []} |
eba59f50c284ea491834da7e16fa8fc7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [37, 197], "expectation_value": -2.3794095308376977, "params": [0.49920000000000003, -0.0028, 0.4338, 0.0036000000000000003, 0.4939, 0.0067, 0.28550000000000003, 0.0196, 0.49770000000000003, -0.0001, 0.505, -0.0022, 0.27540000000000003, -0.0455, 0.5, 0.0089, 0.4988, -0.0025, 0.4304, 0.0022, 0.4827, 0.0035, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110110", "11001001", "00111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4992) q[0];
rz(-0.0028) q[0];
rx(0.4338) q[1];
rz(0.0036) q[1];
rx(0.4939) q[2];
rz(0.0067) q[2];
rx(0.2855) q[3];
rz(0.0196) q[3];
rx(0.4977) q[4];
rz(-0.0001) q[4];
rx(0.505) q[5];
rz(-0.0022) q[5];
rx(0.2754) q[6];
rz(-0.0455) q[6];
rx(0.5) 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": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [373, 501], "expectation_value": -0.19862019217729587, "params": [1.2979, 0.004200000000000001, 1.6393, 0.0085, 1.6044, 0.009600000000000001, 1.7021000000000002, 0.0036000000000000003, 1.6978, 0.0019, 1.7028, 0.009300000000000001, 1.3241, 0.0095, 1.7095, 0.0045000000000000005, 1.4761, 0.0023, 1.7060000000000... | 0.5 * (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(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2979) q[0];
rz(0.0042) q[0];
rx(1.6393) q[1];
rz(0.0085) q[1];
rx(1.6044) q[2];
rz(0.0096) q[2];
rx(1.7021) q[3];
rz(0.0036) q[3];
rx(1.6978) q[4];
rz(0.0019) q[4];
rx(1.7028) q[5];
rz(0.0093) q[5];
rx(1.3241) q[6];
rz(0.0095) q[6];
rx(1.7095) 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": []} |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -7.632997161509947, "params": [[[0.0033, 0.0061], [0.0025, 0.003], [0.0023, 0.0029000000000000002], [0.0023, 0.0043], [0.0022, 0.003], [0.0023, 0.0059], [1.6088, 0.006500000000000001]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 160, "probabilities": [0.48... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.0061) q[0];
rx(0.0025) q[1];
rz(0.003) q[1];
rx(0.0023) q[2];
rz(0.0029) q[2];
rx(0.0023) q[3];
rz(0.0043) q[3];
rx(0.0022) q[4];
rz(0.003) q[4];
rx(0.0023) q[5];
rz(0.0059) q[5];
rx(1.6088) q[6];
rz(0.0065) q[6];
c[0] = measure q[0];
c[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
cccde4707d298ae394e20cc161e11586 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -13.763232060664365, "params": [0.0021000000000000003, 0.7080000000000001, 0.0025, 1.1698, -0.0013000000000000002, 0.009000000000000001, 0.0027, 1.1782000000000001, 0.0029000000000000002, 1.1819, -0.7998000000000001, 0.0009000000000000001, 0.0027, 1.1691, 0.0027, 1.1807, 1.5861, ... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0021) q[0];
rz(0.708) q[0];
rx(0.0025) q[1];
rz(1.1698) q[1];
rx(-0.0013) q[2];
rz(0.009) q[2];
rx(0.0027) q[3];
rz(1.1782) q[3];
rx(0.0029) q[4];
rz(1.1819) q[4];
rx(-0.7998) q[5];
rz(0.0009) q[5];
rx(0.0027) q[6];
rz(1.1691) q[6];
rx(0.0027) q[7];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-188556801649056268 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [1, 4, 6], [0, 7], [8, 1, 2, 6], [8, 4], [2, 5], [3, 6], [3, 4], [8, 7], [3, 7], [4, 7]]} | {"states": [425, 86], "expectation_value": -0.056845419329578276, "params": [[0.058100000000000006], [-0.0492]], "bitstrings": ["001010110", "110101001"], "total_optimization_steps": 10, "probabilities": [0.0021239606576863306, 0.0021317510232047037], "optimization_time": 2.467496395111084} | 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["110101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(0.0581) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0291) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.0194) q[4];
cx q[6], q[4];
cx q[1], q[4];
rz(0.0194) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(x0) q[0];
... | null | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [843, 859], "expectation_value": -2.5674334024690895, "params": [1.5807, 0.0078000000000000005, 1.3591, 0.405, 0.1716, 0.8161, 1.5859, 0.41590000000000005, 0.42010000000000003, 0.8188000000000001, 0.8417, 0.3105, 1.5809, 0.3166, -0.0046, 0.7887000000000001, 1.5812000000000002, -0.0016, 1.3403, 0.001300000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5807) q[0];
rz(0.0078) q[0];
rx(1.3591) q[1];
rz(0.405) q[1];
rx(0.1716) q[2];
rz(0.8161) q[2];
rx(1.5859) q[3];
rz(0.4159) q[3];
rx(0.4201) q[4];
rz(0.8188) q[4];
rx(0.8417) q[5];
rz(0.3105) q[5];
rx(1.5809) q[6];
rz(0.3166) q[6];
rx(-0.0046) 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": []} |
-5903830051335657599 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [231, 235], "expectation_value": -3.0505351943980954, "params": null, "bitstrings": ["00011000", "00010100"], "total_optimization_steps": 62, "probabilities": [0.06529836290381333, 0.7365945190667014], "optimization_time": 92.80721807479858} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["00010100", "10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5592) q[1];
ry(1.2292) q[0];
cry(-1.2198) q[7], q[3];
ry(0.7593) q[7];
cry(-0.6702) q[6], q[3];
cry(1.2529) q[7], q[2];
cry(0.9931) q[7], q[6];
cry(-0.3117) q[2], q[3];
cry(-1.1599) q[4], q[5... | 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(1.5592) 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[... |
12ada348b9c11023d80d21b40d9fce6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -1.3529598995007102, "params": [[0.0728, 0.0695, 0.0682, 0.0603], [-0.07640000000000001, -0.06760000000000001, -0.0675, -0.0635]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.06515957168647382, 0.0746505665112486], "optimization_time": 3... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0728) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1456) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0364) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0728) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1456) 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": []} |
8141295796942225981 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 1, 2, 5], [1, 3, 5], [1, 2, 3, 7], [2, 6], [1, 5, 7], [8, 1, 6], [0, 5, 6, 7], [8, 0, 5], [1, 4, 7], [1, 6, 7], [0, 3], [1, 3, 4], [3, 5, 6, 7], [8, 2, 4, 7], [0, 4, 7], [8, 1, 5], [8, 1, 4]]} | {"states": [391, 451], "expectation_value": -0.3250664260249897, "params": [[0.0748], [-0.0816]], "bitstrings": ["001111000", "000111100"], "total_optimization_steps": 10, "probabilities": [0.0023010386710428255, 0.0023649330357465546], "optimization_time": 4.179405927658081} | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.41666666666666663 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.416666666666667, "smallest_bitstrings": ["000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(0.0748) q[8];
cx q[3], q[8];
cx q[3], q[0];
rz(0.0748) q[0];
cx q[3], q[0];
cx q[8], q[0];
rz(0.0249) q[0];
cx q[8], q[0];
cx q[3], q[1];
rz(0.0623) q[1];
cx q[3], 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] 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] ... | null | {"circuits": [], "gradients": []} |
cd58673a4ab07f9a1050a15279b9ca9d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [725, 981], "expectation_value": -1.6037456449400234, "params": [[0.4433, 1.0991, 0.8214, 1.099, 1.1013, 0.27990000000000004, 1.0716, 0.17550000000000002, 0.9327000000000001, 0.49450000000000005, 0.782], [0.2697, 0.3931, 0.0823, 0.2649, 0.159, 0.23600000000000002, 1.0934000000000001, 0.07780000000000001, 0.9... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(3) @ Z(7)) + 0.25 * (Z(4) @ Z(8))... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 28, "first_excited_energy": -2.125,... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4433) q[0];
ry(1.0991) q[1];
ry(0.8214) q[2];
ry(1.099) q[3];
ry(1.1013) q[4];
ry(0.2799) q[5];
ry(1.0716) q[6];
ry(0.1755) q[7];
ry(0.9327) q[8];
ry(0.4945) q[9];
ry(0.782) 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], 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": []} |
b6baad67864f2ddcbb0ef04d2a8f04ff | 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": [399, 143], "expectation_value": -59.68384069452312, "params": [0.4685, 0.29460000000000003, 0.8994000000000001, -0.0008, 0.0029000000000000002, -0.5853, 0.0034000000000000002, 0.4555, 0.078, 0.4083, 0.8942, 0.0061, 0.8984000000000001, -0.0002, 0.9036000000000001, 0.011300000000000001, 0.8971, 0.164, 0.4631,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(4) @ Z(7)) + 5.5 * Z(1) + 7.0 * Z(0) + -2.5 * Z(3) + 13.5 * Z(5) + 8.0 * Z(6) + -5.5 * Z(2) + 15.5 * Z(8) + 9.0 * Z(7) + -1.0 * Z(4) | 18 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4685) q[0];
rz(0.2946) q[0];
rx(0.8994) q[1];
rz(-0.0008) q[1];
rx(0.0029) q[2];
rz(-0.5853) q[2];
rx(0.0034) q[3];
rz(0.4555) q[3];
rx(0.078) q[4];
rz(0.4083) q[4];
rx(0.8942) q[5];
rz(0.0061) q[5];
rx(0.8984) q[6];
rz(-0.0002) q[6];
rx(0.9036) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
d53bc6bd432bf4983d084051835cbd3e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -19.12689569800542, "params": [-0.00030000000000000003, 0.1198, 0.0004, 0.12480000000000001, 0.0029000000000000002, 0.1713, -0.0007, 0.15710000000000002, 0.0009000000000000001, 0.15560000000000002, 0.0037, 0.1612, 0.0037, 0.1545, 0.004200000000000001, 0.1617, 0.1663, -0.000900000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 7 | 10 | 4 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111011110", "1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0003) q[0];
rz(0.1198) q[0];
rx(0.0029) q[1];
rz(0.1713) q[1];
rx(0.0009) q[2];
rz(0.1556) q[2];
rx(0.0037) q[3];
rz(0.1545) q[3];
rx(0.1663) q[4];
rz(-0.0009) q[4];
rx(0.0069) q[5];
rz(0.1095) q[5];
rx(0.0043) q[6];
rz(0.1157) q[6];
rx(0.0022) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 3, "target": 4}]} | {"states": [27507, 23979], "expectation_value": -4.6281115237213575, "params": [[0.25120000000000003], [-0.24080000000000001]], "bitstrings": ["001010010001100", "010001001010100"], "total_optimization_steps": 30, "probabilities": [0.00034912668317020124, 0.0003491266831702013], "optimization_time": 45.27210330963135} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999977], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999941, "smallest_bitstrings": ["010001001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.2512) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2512) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2512) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
890404114302194751 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [3, 4], [3, 5], [2, 3], [1, 5], [1, 3], [1, 4], [0, 2], [0, 3], [0, 6]]} | {"states": [71, 86], "expectation_value": -2.5875318507321055, "params": null, "bitstrings": ["0111000", "0101001"], "total_optimization_steps": 55, "probabilities": [0.05426619141030724, 0.7727246450417131], "optimization_time": 63.32853293418884} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101001", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[2], q[6];
ry(1.0293) q[2];
cry(-0.8214) q[0], q[6];
cry(-0.6534) q[4], q[3];
ry(0.9979) q[5];
cry(1.1473) q[5], q[4];
ry(-0.5076) q[3];
cry(-1.3345) q[5], q[1];
cry... | 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[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
5ab0d413e91c40c8571cb2ab0e0009e7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -20.323907378251587, "params": [-1.1744, -0.0058000000000000005, 0.9752000000000001, 0.004, -1.1848, -0.0011, 0.8778, 0.0027, 0.002, 1.5533000000000001, -0.0025, 0.0095, -1.0929, 0.0047, 0.31720000000000004, 0.0037, 0.0018000000000000002, 1.9509, -0.002, 0.003, 0.00170000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-1.1744) q[0];
rz(-0.0058) q[0];
rx(-1.1848) q[1];
rz(-0.0011) q[1];
rx(0.002) q[2];
rz(1.5533) q[2];
rx(-1.0929) q[3];
rz(0.0047) q[3];
rx(0.0018) q[4];
rz(1.9509) q[4];
rx(0.0017) q[5];
rz(1.6829) q[5];
rx(-0.0026) q[6];
rz(1.0223) 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[... | {"node": 5} | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -12.195711801838554, "params": [0.1296, 0.2253, 0.055600000000000004, 0.2579, 0.06520000000000001, 0.2858, 0.3902, 0.2482, 0.4646, 0.24130000000000001, 0.459, 0.216, 0.13490000000000002, 0.2361, 0.0579, 0.2609, 0.0655, 0.2909, 0.36710000000000004, 0.2576, 0.46740000000000004, 0.2... | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 3 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1296) q[0];
rz(0.2253) q[0];
rx(0.0556) q[1];
rz(0.2579) q[1];
rx(0.0652) q[2];
rz(0.2858) q[2];
rx(0.3902) q[3];
rz(0.2482) q[3];
rx(0.4646) q[4];
rz(0.2413) q[4];
rx(0.459) q[5];
rz(0.216) q[5];
crz(0.2217) q[5], q[4];
crz(0.2209) q[4], q[3];
crz(0.0369... | OPENQASM 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [22, 13], "expectation_value": -0.10263083868374515, "params": [[0.0669], [-0.056]], "bitstrings": ["101001", "110010"], "total_optimization_steps": 10, "probabilities": [0.017049643268426045, 0.01704964326842605], "optimization_time": 1.0414507389068604} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0669) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0669) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0669) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0669) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.0669... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [15851, 32235], "expectation_value": -17.697760956914557, "params": [1.1889, 0.2083, 1.2, 0.0046, 1.1204, 0.2748, 0.7941, 0.0095, 1.1935, 0.1073, 1.1827, 0.0082, 1.1875, 0.10990000000000001, 1.1755, 0.0006000000000000001, 1.1915, 0.1076, 1.1908, 0.00030000000000000003, 1.1987, 0.134, 1.1916, 0.0002, 1.1714, ... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 6 | 16 | 1 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.1889) q[0];
rz(0.2083) q[0];
rx(1.1204) q[1];
rz(0.2748) q[1];
rx(1.1935) q[2];
rz(0.1073) q[2];
rx(1.1875) q[3];
rz(0.1099) q[3];
rx(1.1915) q[4];
rz(0.1076) q[4];
rx(1.1987) q[5];
rz(0.134) q[5];
rx(1.1714) q[6];
rz(0.0349) q[6];
rx(1.1979) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
-284893241982961315 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 6], [2, 3], [0, 1, 3], [2, 4], [4, 5]]} | {"states": [13, 77], "expectation_value": -2.615418103067031, "params": null, "bitstrings": ["1110010", "0110010"], "total_optimization_steps": 37, "probabilities": [0.13119251306295882, 0.6627894060846187], "optimization_time": 37.68439078330994} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666674 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.16666666666666666 * Z(0) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334, -2.833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0110010", "1010010"]} | 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[6], q[2];
ry(1.3116) q[3];
cry(-1.438) q[3], q[5];
ry(1.5391) q[4];
cry(-0.7741) q[3], q[2];
ry(1.3043) q[6];
cry(-0.2353) q[4], q[2];
cry(0.1702) q[4], q[3];
cry(-0.1461) q[4], q[5];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-4213807148665555383 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [2, 5], [0, 3], [0, 4], [1, 4]]} | {"states": [28, 14], "expectation_value": -2.1164770392798538, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 38, "probabilities": [0.05359105797771597, 0.7532337500760429], "optimization_time": 20.56111454963684} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["110001", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[5];
cry(-1.0342) q[4], q[0];
ry(1.0293) q[3];
cry(-0.8214) q[2], q[5];
cry(1.1655) q[3], q[2];
ry(-0.3465) q[5];
cry(-1.0342) q[4], q[1];
ry(0.7625) q[4];
cry(-0.7986) q[3], q[0];
cry(0.364) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
570854331bf757be794b813c390e4e40 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [334, 318], "expectation_value": -1.607123524914561, "params": [[[0.499, 0.0152, 0.00030000000000000003, 0.0011], [0.5034000000000001, 0.007, 0.3814, 0.0262], [0.3413, 0.0234, 0.29350000000000004, -0.0323], [0.35800000000000004, -0.1373, 0.4924, 0.0471], [0.4887, 0.0654, 0.4914, -0.0078000000000000005], [0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(7) @ Z(0) @ Z(4)) + ... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1011000001", "1011000010", "1011001000", "1010101000", "0110101000", "0111000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.499) q[0];
rz(0.0152) q[0];
ry(0.5034) q[1];
rz(0.007) q[1];
ry(0.3413) q[2];
rz(0.0234) q[2];
ry(0.358) q[3];
rz(-0.1373) q[3];
ry(0.4887) q[4];
rz(0.0654) q[4];
ry(0.1091) q[5];
rz(-0.2856) q[5];
ry(-0.0732) q[6];
rz(-0.3155) q[6];
ry(0.1256) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
2df5083eec714b9fdc0c8843b7695063 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [133, 141], "expectation_value": -33.53738691639231, "params": [[[1.5697, 0.002], [0.0028, 1.0885], [0.0022, -1.0315], [-0.0022, 1.3956000000000002], [0.7901, -0.006500000000000001], [1.5672000000000001, -0.003], [0.0017000000000000001, 0.9655], [1.576, 0.0019]], [[1.5758, 0.0051], [0.0028, 0.005500000000000... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -1.5 * Z(0) + -3.5 * Z(2) + -4.5 * Z(1) + -7.0 * Z(3) + -6.0 * Z(4) + 1.0 * Z(5) + -2.0 * Z(6) + -1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["01110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5697) q[0];
rz(0.002) q[0];
rx(0.0028) q[1];
rz(1.0885) q[1];
rx(0.0022) q[2];
rz(-1.0315) q[2];
rx(-0.0022) q[3];
rz(1.3956) q[3];
rx(0.7901) q[4];
rz(-0.0065) q[4];
rx(1.5672) q[5];
rz(-0.003) q[5];
rx(0.0017) q[6];
rz(0.9655) q[6];
rx(1.576) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
9aa4886cb5635222092ad472ddfdf453 | 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": [347, 339], "expectation_value": -91.26782037054795, "params": [0.0026000000000000003, 0.893, -0.0018000000000000002, 0.8492000000000001, 1.2048, 0.0589, -0.0012000000000000001, 0.6797000000000001, 1.1966, 0.0574, 0.6945, 0.24960000000000002, 1.2012, 0.1441, 0.7705000000000001, 0.2157, 0.0032, -0.71110000000... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(8) @ Z(10)) + -6.5 * Z(1) + 7.5 * Z(2) + 25.0 * Z(4) + -4.0 * Z(3) + 4.5 * Z(5) + 21.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["11010101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0026) q[0];
rz(0.893) q[0];
rx(-0.0018) q[1];
rz(0.8492) q[1];
rx(1.2048) q[2];
rz(0.0589) q[2];
rx(-0.0012) q[3];
rz(0.6797) q[3];
rx(1.1966) q[4];
rz(0.0574) q[4];
rx(0.6945) q[5];
rz(0.2496) q[5];
rx(1.2012) q[6];
rz(0.1441) q[6];
rx(0.7705) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9448557433126809, "params": [[-0.0639, -0.0468], [0.07490000000000001, 0.06420000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006548662800676553, 0.006947778985246591], "optimization_time": 3.1100962162017822} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0319) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1598) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0319) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0958) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [38, 50], "expectation_value": -0.43700305806780093, "params": [[-0.0347, -0.0606, -0.0218], [0.0155, 0.0668, 0.0475]], "bitstrings": ["011001", "001101"], "total_optimization_steps": 10, "probabilities": [0.020465025006680237, 0.020465025006680237], "optimization_time": 5.613729953765869} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0347) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0347) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0347) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0347) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
abfbe99ad8a7b3ce3391f1e624bdf663 | 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": 7, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -17.3818698278065, "params": [[[-0.0, -0.0041], [-0.0021000000000000003, 0.219], [-0.0005, -0.0017000000000000001], [-0.0021000000000000003, -0.0029000000000000002], [-0.0046, -0.0028], [-0.0031000000000000003, 0.0021000000000000003], [-0.0018000000000000002, -0.0023], [-0.00... | -1.75 * (Z(0) @ Z(5)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(1)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(4) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0) q[0];
ry(-0.0021) q[1];
ry(-0.0005) q[2];
ry(-0.0021) q[3];
ry(-0.0046) q[4];
ry(-0.0031) q[5];
ry(-0.0018) q[6];
ry(-0.0014) q[7];
ry(1.2838) q[8];
ry(-0.4539) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4310bc53cfb94463debd420e41a01e97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [262, 294], "expectation_value": -39.31476532841933, "params": [[[0.6074, -0.0021000000000000003], [0.28290000000000004, 0.16490000000000002], [0.0015, -0.1986], [0.6044, -0.0007], [0.0051, 0.38280000000000003], [0.28600000000000003, 0.1666], [0.606, -0.0014], [0.6036, 0.0033], [0.0007, 0.3249]], [[0.5998, -... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + -4.5 * Z(1) + -1.5 * Z(0) + -10.0 * Z(2) + 4.5 * Z(3) + -6.5 * Z(5) + -6.5 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["011011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6074) q[0];
rz(-0.0021) q[0];
rx(0.2829) q[1];
rz(0.1649) q[1];
rx(0.0015) q[2];
rz(-0.1986) q[2];
rx(0.6044) q[3];
rz(-0.0007) q[3];
rx(0.0051) q[4];
rz(0.3828) q[4];
rx(0.286) q[5];
rz(0.1666) q[5];
rx(0.606) q[6];
rz(-0.0014) q[6];
rx(0.6036) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.9998648604775688, "params": null, "bitstrings": ["1111", "1001"], "total_optimization_steps": 13, "probabilities": [1.900140947380775e-05, 0.9999183586751094], "optimization_time": 5.10561990737915} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[2];
ry(1.4384) q[1];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[2], q[0];
cry(0.1248) q[2], q[1];
cry(0.1242) q[1], q[2];
cry(-0.0005) q[1], q[0];
c[0] = measure q[0];
c[1] = measure... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
19bf2792303f03225b401563534cb3e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [90, 30], "expectation_value": -4.9991051670407485, "params": null, "bitstrings": ["0100101", "1100001"], "total_optimization_steps": 31, "probabilities": [0.06621413829401404, 0.9331545887175341], "optimization_time": 27.59154176712036} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100100", "0100101", "1100001"]} | 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(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0398) q[4], q[0];
ry(0.6944) q[4];
ry(-0.451) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3778) q[3], q[0];
cry(0.251... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 91.43595099449158} | 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) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
30ba64f2314d12dd7a4bba52fce6e2f0 | 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": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [62, 31], "expectation_value": -2.094044128140679, "params": [[-0.0702, -0.0545, -0.0601, -0.0238], [0.0823, 0.07010000000000001, 0.0761, 0.06280000000000001]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.040562129394613344, 0.04611011305358768], "optimization_time... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.1053) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.1404) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0351) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.2457) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.1053... | OPENQASM 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": []} |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [35, 1], "expectation_value": -0.11894197063179987, "params": [[-0.041], [0.0448]], "bitstrings": ["1011100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008449205026276727, 0.008538928237950124], "optimization_time": 1.339550256729126} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "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[2], q[0];
rz(0.041) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0615) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.123) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0205) q[1];
cx q[2], q[1];
cx q[2], q[4];
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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1023, 135], "expectation_value": -1.6576364681590214, "params": [[-0.041100000000000005], [0.0517]], "bitstrings": ["0000000000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.001402668748256854, 0.0014324262753319383], "optimization_time": 2.5663974285125732} | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(0.2055) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.2877) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.2466) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(0.2877) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"node": 2} | {"circuits": [], "gradients": []} |
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [118, 115], "expectation_value": -14.884815027721652, "params": [[-0.0509, -0.008400000000000001], [0.07590000000000001, 0.056]], "bitstrings": ["10001001", "10001100"], "total_optimization_steps": 10, "probabilities": [0.011615102224861696, 0.013943104961914147], "optimization_time": 3.7587883472442627} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.4072) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4072) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.4072) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.4072) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.998043785566831, "params": null, "bitstrings": ["11111", "11100"], "total_optimization_steps": 17, "probabilities": [0.24799819414047652, 0.7500155702920361], "optimization_time": 6.277666091918945} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "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];
ry(-1.5708) q[1];
cry(1.5486) q[4], q[3];
cry(1.2305) q[3], q[4];
ry(-1.4449) q[2];
ry(-1.4449) q[0];
cry(-0.1101) q[4], q[2];
cry(-0.1101) q[4], q[0];
ry(0.0163) q[3];
ry(0.0085) q[4];
cry(-0.0138) q[3], q[2];
cry(-0.01... | null | {"node": 2} | {"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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 104], "expectation_value": -4.996515624145526, "params": null, "bitstrings": ["0001111", "0010111"], "total_optimization_steps": 24, "probabilities": [0.06700894031405208, 0.9297461660320782], "optimization_time": 23.94021224975586} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[2];
ry(0.7022) q[3];
ry(-0.4578) q[2];
cry(0.497) q[1], q[3];
cry(-0.3761) q[1], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9645644fcb46d75a104e4de81b9201a7 | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.16559977357328004, "params": [[-0.0863], [0.0805]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00927626575242705, 0.009496445920509983], "optimization_time": 1.3947608470916748} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010100", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0432) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.0863) q[6];
cx q[0], q[6];
cx q[2], q[3];
rz(0.0863) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.1295) q[1];
cx q[3], q[1];
cx q[2], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(x1) q[6];
cx q[0], q[6]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.1159730878162877, "params": [[-0.0582, 0.06720000000000001], [0.0782, -0.032]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005762046115708519, 0.005821243618871048], "optimization_time": 3.1756505966186523} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.0291) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.1455) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(0.1455) q[2];
cx q[7], q[2];
cx q[1], q[2];
rz(0.1164) q[2];
cx q[1], q[2];
cx 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": 7} | {"circuits": [], "gradients": []} |
37b183b4dc70145272a31a80cccd7f15 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -10.762527453569032, "params": [0.0054, 0.132, 0.0027, 0.3109, 0.0014, 0.30510000000000004, 0.0054, -0.221, 0.0015, 0.30910000000000004, 0.0001, 0.3181, 0.0008, 0.3154, 0.39840000000000003, 0.0002, 0.0016, 0.2149, 0.0053, 0.3034, 0.0066, 0.31120000000000003, 0.0014, -0.2188000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 3 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0054) q[0];
rz(0.132) q[0];
rx(0.0027) q[1];
rz(0.3109) q[1];
rx(0.0014) q[2];
rz(0.3051) q[2];
rx(0.0054) q[3];
rz(-0.221) q[3];
rx(0.0015) q[4];
rz(0.3091) q[4];
rx(0.0001) q[5];
rz(0.3181) q[5];
rx(0.0008) q[6];
rz(0.3154) q[6];
rx(0.3984) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -7.864388332421609, "params": [[-0.030000000000000002, -0.0161, 0.0648], [0.038400000000000004, 0.0429, -0.0395]], "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005846031848403507, 0.006205828171896469], "optimization_time": 9.981382... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 16 | 8 | 3 | {"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(-0.165) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.165) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.165) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.165) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [11, 53], "expectation_value": -2.4356248852359443, "params": [[[1.5618, -0.0013000000000000002], [-0.3267, 0.012], [-0.5101, 0.0176], [1.3615000000000002, 0.5195000000000001], [-0.0724, 1.2528000000000001], [0.3462, 0.9123], [-1.0159, 1.0704]], [[0.7859, 0.0267], [-0.31970000000000004, 1.3034000000000001], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 15 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(1.5618) q[0];
ry(-0.3267) q[1];
ry(-0.5101) q[2];
ry(1.3615) q[3];
ry(-0.0724) q[4];
ry(0.3462) q[5];
ry(-1.0159) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.0013) q[0];
ry(0.012) 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": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [0, 1], "expectation_value": -3.553034116255606, "params": [[[0.0, 0.19920000000000002], [0.0012000000000000001, 0.3079], [0.0044, 0.2934], [0.003, 0.3099], [0.4071, 0.0032]], [[-0.0009000000000000001, 0.199], [0.0026000000000000003, 0.3105], [-0.0019, 0.31670000000000004], [0.0006000000000000001, 0.3195], [... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0) q[0];
rz(0.1992) q[0];
rx(0.0012) q[1];
rz(0.3079) q[1];
rx(0.0044) q[2];
rz(0.2934) q[2];
rx(0.003) q[3];
rz(0.3099) q[3];
rx(0.4071) q[4];
rz(0.0032) q[4];
rx(-0.0009) q[0];
rz(0.199) q[0];
rx(0.0026) q[1];
rz(0.3105) q[1];
rx(-0.0019) q[2];
rz(0.3167)... | OPENQASM 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": []} |
b95be6dbc5fc375936c03ff5c02bb5b2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [578, 579], "expectation_value": -9.811609719257083, "params": [[[2.1018, 0.0066], [-0.0015, 0.0088], [-0.0016, 0.0057], [2.1041000000000003, 0.0029000000000000002], [-0.0025, 0.008], [0.0033, 0.007200000000000001], [0.0032, 0.0012000000000000001], [0.0031000000000000003, 0.007200000000000001], [2.1113, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0110111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.1018) q[0];
rz(0.0066) q[0];
rx(-0.0015) q[1];
rz(0.0088) q[1];
rx(-0.0016) q[2];
rz(0.0057) q[2];
rx(2.1041) q[3];
rz(0.0029) q[3];
rx(-0.0025) q[4];
rz(0.008) q[4];
rx(0.0033) q[5];
rz(0.0072) q[5];
rx(0.0032) q[6];
rz(0.0012) q[6];
rx(0.0031) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 27], "expectation_value": -0.04944338633427933, "params": [[-0.0333], [0.0453]], "bitstrings": ["0011011", "1100100"], "total_optimization_steps": 10, "probabilities": [0.008167947978468584, 0.008214680636211075], "optimization_time": 1.3150267601013184} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0333) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.0333) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.0333) q[1];
cx q[2], q[1];
cx q[6], q[1];
rz(-0.0333) q[1];
cx q[6], q[1];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6]... | null | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 72.52128982543945} | 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 *... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[1];
cry(-1.5708) q[3], q[6];
cry(-1.5701) q[5], q[2];
ry(1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(0.5204) q[5];
ry(-0.3719) q[2];
ry(0.423) q[6];
cry(-0.4899) q[6], q[3];
cry(0.3496) q[4], ... | null | {"k": 4} | {"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(-1.4894) 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", ... |
58927404864b316a7a7c3805d96a54c5 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [25, 157], "expectation_value": -8.54403379804964, "params": [[-0.1512, -0.0925], [0.1709, 0.17200000000000001]], "bitstrings": ["111100110", "101100010"], "total_optimization_steps": 20, "probabilities": [0.024888376038215476, 0.030808280058566985], "optimization_time": 4.216492176055908} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["101100010", "111100110", "111100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.3024) q[0];
cx q[3], q[0];
cx q[0], q[8];
rz(-0.378) q[8];
cx q[0], q[8];
cx q[3], q[1];
rz(0.4536) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8316) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6032940321691925985 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 5, 1], [8, 5, 7], [0, 3], [3, 5, 6], [9, 2, 4, 1], [8, 4], [1, 5, 6], [8, 1, 2, 3], [8, 9, 2, 3], [0, 9, 4, 7], [9, 7, 1, 6], [0, 4, 5, 7], [8, 9, 7]]} | {"states": [501, 373], "expectation_value": -3.428114739185813, "params": [0.31220000000000003, 0.2721, 1.5717, 1.5702, 1.5497, 1.409, 1.5843, 1.5804, 1.2802, 1.2052, 1.5508000000000002, 1.5784, 0.5562, 0.5482, 1.5650000000000002, 1.5789, 1.5845, 1.5808, 1.5804, 1.5823, 0.1771, 1.5751000000000002, 1.5842, 0.49920000000... | 0.3333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.9166666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["1010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3122) q[0];
ry(1.5717) q[1];
ry(1.5497) q[2];
ry(1.5843) q[3];
ry(1.2802) q[4];
ry(1.5508) q[5];
ry(0.5562) q[6];
ry(1.565) q[7];
ry(1.5845) q[8];
ry(1.5804) q[9];
crx(0.1771) q[9], q[0];
crx(-0.0368) q[8], q[9];
crx(0.2214) q[7], q[8];
crx(0.9605) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
78fa1de4f4a21ed4fe88b300377e8f4a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [58, 57], "expectation_value": -4.999883762767255, "params": null, "bitstrings": ["1000101", "1000110"], "total_optimization_steps": 31, "probabilities": [1.6414156562294317e-05, 0.9999151816608713], "optimization_time": 31.377305269241333} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[5];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6e37aef8e2f10c2778e28c9dc9b1affa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [56, 67], "expectation_value": -0.3745790629417728, "params": [[-0.0714], [0.0661]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 10, "probabilities": [0.008928725885755311, 0.009266640614199906], "optimization_time": 1.7480003833770752} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0714) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0714) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0714) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0714) q[4];
cx q[2], q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} |
b3e6c46187b92b8e35e519545febf9fa | 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": [1158, 1159], "expectation_value": -95.7671078600224, "params": [3.0061, 0.0008, 1.1129, 0.0013000000000000002, 0.1875, 0.0055000000000000005, 2.9930000000000003, 0.007200000000000001, 0.0024000000000000002, 0.0018000000000000002, 0.003, 0.007200000000000001, -0.002, 0.0071, 0.0025, 0.0034000000000000002, 2.... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(6) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(3)) + 6.0 * Z(0) + 10.0 * Z(1) + 16.0 * Z(3) + 0.5 * Z(2) + 6.0 * Z(8) + -3.0 * Z(5) + 9.0 * Z(9) + -5.0 * Z(6) + 6.0 * Z(10) ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.0061) q[0];
rz(0.0008) q[0];
rx(1.1129) q[1];
rz(0.0013) q[1];
rx(0.1875) q[2];
rz(0.0055) q[2];
rx(2.993) q[3];
rz(0.0072) q[3];
rx(0.0024) q[4];
rz(0.0018) q[4];
rx(0.003) q[5];
rz(0.0072) q[5];
rx(-0.002) q[6];
rz(0.0071) q[6];
rx(0.0025) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
d6991d057b315b177a32f1a4a2aac75c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [346, 858], "expectation_value": -3.108510813451856, "params": [[[0.6231, 0.0472, 0.0014, 0.0012000000000000001], [0.7486, -0.0656, 0.0531, 0.0015], [-0.15960000000000002, 0.07690000000000001, 0.006, 0.0766], [0.5690000000000001, -0.0322, 0.7001000000000001, 0.0094], [0.0032, -0.0035, 0.01, 0.0007], [0.3709,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000100101", "0010100101", "0101000101", "1000000111", "0100010101", "1100000101", "0100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6231) q[0];
rz(0.0472) q[0];
ry(0.7486) q[1];
rz(-0.0656) q[1];
ry(-0.1596) q[2];
rz(0.0769) q[2];
ry(0.569) q[3];
rz(-0.0322) q[3];
ry(0.0032) q[4];
rz(-0.0035) q[4];
ry(0.3709) q[5];
rz(0.0227) q[5];
ry(0.898) q[6];
rz(0.0077) q[6];
ry(-0.0041) 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": []} |
-1260524339113921665 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 7], [0, 4], [8, 9, 2, 1], [8, 3], [9, 7], [2, 3], [0, 1, 2], [0, 9], [0, 6], [1, 2, 7], [3, 7], [8, 1, 5, 0], [3, 5, 6]]} | {"states": [918, 662], "expectation_value": -2.478320535035411, "params": [1.1921000000000002, 0.0376, 1.1957, 0.0083, 1.1301, 0.1107, 1.1035000000000001, 0.0001, 1.1986, -0.0771, 1.1943000000000001, 0.0089, 0.5362, 0.4066, 0.5319, 0.0056, 0.3845, -0.39780000000000004, 0.3826, 0.0033, 1.2046000000000001, -0.1068, 1.204... | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.916666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.250000000000001, "smallest_bitstrings": ["0101101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1921) q[0];
rz(0.0376) q[0];
rx(1.1301) q[1];
rz(0.1107) q[1];
rx(1.1986) q[2];
rz(-0.0771) q[2];
rx(0.5362) q[3];
rz(0.4066) q[3];
rx(0.3845) q[4];
rz(-0.3978) q[4];
rx(1.2046) q[5];
rz(-0.1068) q[5];
rx(0.977) q[6];
rz(-0.3584) q[6];
rx(1.1942) 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": []} |
1cf62c7ab33fc7566dad05641a882509 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [2749, 2750], "expectation_value": -2.379318036096714, "params": [[[0.771, 0.0054], [0.041100000000000005, 0.0095], [0.8509, 0.1462], [0.2861, 0.0891], [0.7694000000000001, 0.22560000000000002], [0.0775, 0.41550000000000004], [0.09870000000000001, 0.8953000000000001], [0.2958, 0.5351], [0.6148, 0.5171], [-0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 35, "first_excited_energy": -2.5, "smallest_bitst... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.771) q[0];
ry(0.0411) q[1];
ry(0.8509) q[2];
ry(0.2861) q[3];
ry(0.7694) q[4];
ry(0.0775) q[5];
ry(0.0987) q[6];
ry(0.2958) q[7];
ry(0.6148) q[8];
ry(-0.0136) q[9];
ry(0.8951) q[10];
ry(0.4768) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [63, 1], "expectation_value": -1.0744691669621553, "params": [[-0.054700000000000006, -0.031, -0.0344], [0.0738, 0.045700000000000005, 0.044500000000000005]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013820776141438994, 0.013915686253147663], "optimization_tim... | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "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[3], q[0];
rz(0.0547) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.0821) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(0.1368) q[1];
cx q[3], q[1];
cx q[6], q[1];
rz(0.0547) q[1];
cx q[6], q[1];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4ab3a9f98a5ea141820b159d6cb4ba53 | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -7.572375931910472, "params": [0.0009000000000000001, 0.43920000000000003, 0.0024000000000000002, 0.5999, 0.0029000000000000002, 0.5920000000000001, 0.0028, 0.5314, 0.0025, 0.5132, 0.0028, 0.5901000000000001, 0.0026000000000000003, 0.6064, 0.8103, 0.0018000000000000002, 0.0011, 0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0009) q[0];
rz(0.4392) q[0];
rx(0.0024) q[1];
rz(0.5999) q[1];
rx(0.0029) q[2];
rz(0.592) q[2];
rx(0.0028) q[3];
rz(0.5314) q[3];
rx(0.0025) q[4];
rz(0.5132) q[4];
rx(0.0028) q[5];
rz(0.5901) q[5];
rx(0.0026) q[6];
rz(0.6064) q[6];
rx(0.8103) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-234329353063358157 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [186, 122], "expectation_value": -0.23101446624857483, "params": [[-0.25930000000000003], [0.26630000000000004]], "bitstrings": ["01000101", "10000101"], "total_optimization_steps": 30, "probabilities": [0.005704172316381029, 0.005704172316381031], "optimization_time": 3.4538521766662598} | 0.5 * (Z(5) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.023809523809523808 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.05714285714285714 * (Z(2) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0904761904761904, -1.0904761904761904], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0571428571428572, "smallest_bitstrings": ["10000101", "01000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[5];
rz(-0.2593) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(-0.0123) q[0];
cx q[6], q[0];
cx q[5], q[0];
rz(-0.0173) q[0];
cx q[5], q[0];
cx q[6], q[1];
rz(-0.0123) q[1];
cx q[6], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
e29bfda33a1d7f43206bf01d0ef0c119 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [3960, 4088], "expectation_value": -1.956996930897868, "params": [[0.07440000000000001], [-0.0673]], "bitstrings": ["000010000111", "000000000111"], "total_optimization_steps": 10, "probabilities": [0.0004684078774453114, 0.0004852201626338137], "optimization_time": 3.5569190979003906} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"]} | 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(-0.372) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.372) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0744) q[2];
cx q[0], q[2];
cx q[1], 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;
input float[64] x6;
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... | {"node": 10} | {"circuits": [], "gradients": []} |
f15718e6d4296c5c025e3fcbce33b7f7 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [248, 216], "expectation_value": -3.5700114337160276, "params": [0.11950000000000001, 0.116, 0.4037, 0.40950000000000003, 0.40030000000000004, 0.39380000000000004, 0.39330000000000004, 0.3957, 0.4097, 0.4016, 0.4025, 0.4086, 0.1356, 0.13970000000000002, -0.0053, -0.0019, -0.004200000000000001, -0.0043, 0.118... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010011", "100110011", "101000111", "011000111", "010100111", "100100111", "110110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1195) q[0];
ry(0.4037) q[1];
ry(0.4003) q[2];
ry(0.3933) q[3];
ry(0.4097) q[4];
ry(0.4025) q[5];
ry(0.1356) q[6];
ry(-0.0053) q[7];
ry(-0.0042) q[8];
crz(0.1929) q[8], q[0];
crz(-0.1921) q[7], q[8];
crz(0.1652) q[6], q[7];
crz(-0.0032) q[5], q[6];
crz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
887595949ae6925e33a681a58519a274 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [15642, 15674], "expectation_value": -46.74422944022387, "params": [0.4269, 0.7335, 0.43310000000000004, 0.739, 1.8764, 0.011600000000000001, 1.5651000000000002, -0.0018000000000000002, 1.5690000000000002, -0.005, 0.9693, 0.0016, 0.0029000000000000002, 1.4172, 1.5747, 0.0007, -0.0028, 1.4108, -0.002400000000... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 18 | 16 | 2 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.4269) q[0];
rz(0.7335) q[0];
rx(0.4331) q[1];
rz(0.739) q[1];
rx(1.8764) q[2];
rz(0.0116) q[2];
rx(1.5651) q[3];
rz(-0.0018) q[3];
rx(1.569) q[4];
rz(-0.005) q[4];
rx(0.9693) q[5];
rz(0.0016) q[5];
rx(0.0029) q[6];
rz(1.4172) q[6];
rx(1.5747) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [2, 3], "expectation_value": -3.7192477611620056, "params": [[[0.39740000000000003, 0.08990000000000001], [0.2016, -0.19310000000000002], [0.20270000000000002, -0.19360000000000002], [0.5935, 0.0027], [0.5992000000000001, -0.0027]], [[0.3962, 0.0898], [0.1988, -0.1927], [0.1995, -0.19360000000000002], [0.601... | 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)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3974) q[0];
rz(0.0899) q[0];
rx(0.2016) q[1];
rz(-0.1931) q[1];
rx(0.2027) q[2];
rz(-0.1936) q[2];
rx(0.5935) q[3];
rz(0.0027) q[3];
rx(0.5992) q[4];
rz(-0.0027) q[4];
rx(0.3962) q[0];
rz(0.0898) q[0];
rx(0.1988) q[1];
rz(-0.1927) q[1];
rx(0.1995) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
58f2180ba6d9be6eae82fcbd77eed4c9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9},... | {"states": [0, 1792], "expectation_value": -33.0838983945714, "params": [-1.0359, -0.9034000000000001, -0.003, -0.0015, 0.0036000000000000003, -0.008, -0.0026000000000000003, -0.0025, -0.0026000000000000003, -0.0026000000000000003, -0.0027, -0.0023, -0.0025, -0.0025, -0.0022, -0.0025, -0.0021000000000000003, -0.0029000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -3.5 * (Z(4) @ Z(5)) + 1... | 14 | 11 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.0359) q[0];
ry(-0.003) q[1];
ry(0.0036) q[2];
ry(-0.0026) q[3];
ry(-0.0026) q[4];
ry(-0.0027) q[5];
ry(-0.0025) q[6];
ry(-0.0022) q[7];
ry(-0.0021) q[8];
ry(-0.0034) q[9];
ry(-0.0207) q[10];
crx(-1.5484) q[10], q[0];
crx(-0.0108) q[9], q[10];
crx(2.139... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
a603da1a0fa48a0c889ceccbdae517d6 | 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": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 35], "expectation_value": -0.6147776031958856, "params": [[0.061500000000000006, 0.0631, 0.0494, 0.0597], [-0.0514, -0.0616, -0.0461, -0.050100000000000006]], "bitstrings": ["1000111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.01359298651241247, 0.013592986512412471], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"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": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"]} | 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(0.0615) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0615) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(0.0615) q[5];
cx q[4], q[5];
cx q[5], q[2];
rz(0.0615) q[2];
cx q[5], q[2];
cx q[2], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
0c36283121e8c25f75256b89b8ad4f89 | 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": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [396, 384], "expectation_value": -2.1750647604910656, "params": [[0.0685], [-0.0582]], "bitstrings": ["001110011", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0030568089487869525, 0.0031400634411112346], "optimization_time": 3.348651885986328} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "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(-0.137) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.411) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.2055) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.411) q[4];
cx q[2], 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;
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],... | {"node": 6} | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 46], "expectation_value": -2.885844451576202, "params": [-0.0016, -0.0016, -0.0036000000000000003, -0.0018000000000000002, 1.4596, 1.4572, 0.0025, 0.0018000000000000002, 1.4202000000000001, 1.4203000000000001, 1.4967000000000001, 1.504, 0.9806, 0.9682000000000001, 0.7423000000000001, 0.7455, 0.4158, 0.0... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(7... | 13 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "11010001", "11001100", "11011000", "11010010", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0016) q[0];
ry(-0.0036) q[1];
ry(1.4596) q[2];
ry(0.0025) q[3];
ry(1.4202) q[4];
ry(1.4967) q[5];
ry(0.9806) q[6];
ry(0.7423) q[7];
crz(0.4158) q[7], q[0];
crz(-0.4198) q[6], q[7];
crz(-0.1772) q[5], q[6];
crz(-0.039) q[4], q[5];
crz(0.8928) q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6842005225108010706 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 11, 5], [10, 3, 5], [0, 2, 3, 7], [9, 11], [1, 4], [8, 9, 10, 1], [0, 5], [9, 2, 3], [8, 10, 6], [10, 11, 4, 7], [3, 1, 11, 7], [10, 2, 5], [8, 6, 7], [0, 2, 3, 6], [8, 1, 2]]} | {"states": [2882, 3042], "expectation_value": -2.11642981147321, "params": [[[1.1542000000000001, 2.1421], [2.0318, 1.2527000000000001], [-0.1531, 1.0511000000000001], [0.0031000000000000003, 0.1892], [1.5723, 1.5676], [1.4357, 1.5739], [-1.5684, 1.5693000000000001], [-0.0106, 1.5750000000000002], [0.2952, 0.2341], [0.... | 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["010000011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.1542) q[0];
ry(2.0318) q[1];
ry(-0.1531) q[2];
ry(0.0031) q[3];
ry(1.5723) q[4];
ry(1.4357) q[5];
ry(-1.5684) q[6];
ry(-0.0106) q[7];
ry(0.2952) q[8];
ry(0.0616) q[9];
ry(-0.1218) q[10];
ry(1.0392) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [6, 65], "expectation_value": -1.9788921825761858, "params": [[-0.047900000000000005, -0.0511, -0.0446, 0.0284], [0.0666, 0.0654, 0.0655, 0.0235]], "bitstrings": ["1111001", "0111110"], "total_optimization_steps": 10, "probabilities": [0.014087332424083636, 0.014087332424083639], "optimization_time": 8.97397... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0479) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0479) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0479) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0479) q[4];
cx q[2], q[4];
cx q[0], 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[... | null | {"circuits": [], "gradients": []} |
f099da2cca44af333dfb81e09032822f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [323, 327], "expectation_value": -5.561773396575033, "params": [[[0.8064, 0.0031000000000000003], [-0.0035, -0.4186], [0.8056000000000001, -0.0015], [-0.0151, -0.38880000000000003], [0.0018000000000000002, -0.4168], [0.1457, 0.3272], [0.7913, -0.0022], [0.8039000000000001, 0.0009000000000000001], [0.8025, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8064) q[0];
rz(0.0031) q[0];
rx(-0.0035) q[1];
rz(-0.4186) q[1];
rx(0.8056) q[2];
rz(-0.0015) q[2];
rx(-0.0151) q[3];
rz(-0.3888) q[3];
rx(0.0018) q[4];
rz(-0.4168) q[4];
rx(0.1457) q[5];
rz(0.3272) q[5];
rx(0.7913) q[6];
rz(-0.0022) q[6];
rx(0.8039) 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": []} |
18eef7556e7c99f2056daf5370482c12 | 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": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -28.679365711424673, "params": [[0.0261, -0.009600000000000001, 0.0021000000000000003], [-0.0852, -0.0614, -0.060700000000000004]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006330286906487858, 0.00814883693433962], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "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(0.2349) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2349) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2349) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2349) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-5440079155544710673 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [4, 5], [1, 2], [3, 4]]} | {"states": [50, 53], "expectation_value": -1.7289010002893974, "params": null, "bitstrings": ["001101", "001010"], "total_optimization_steps": 37, "probabilities": [0.05102666925162336, 0.7114661410055767], "optimization_time": 24.821195125579834} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "110101", "001101", "001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[1], q[2];
cry(-1.0342) q[5], q[4];
ry(0.7003) q[5];
cry(-0.7092) q[3], q[4];
cry(1.1516) q[5], q[3];
ry(0.7003) q[1];
cry(-0.7092) q[0], q[2];
cry(1.1516) q[1], q[0];
cry(0.4386) q[3], q[5];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 5.676852226257324} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(-0.4578) q[3];
cry(0.4969) q[1], q[2];
cry(-0.3761) q[1], q[3];
cry(-0.1216) q[1], q[4];
cry(0.1097) q[2], q[1];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
786fc65b0c160b8b65668d1c378820ac | 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": [243, 179], "expectation_value": -77.82970116036402, "params": [-0.0026000000000000003, 0.3768, 0.2659, 0.2891, 0.7030000000000001, 0.0158, 0.342, 0.2038, 0.6988000000000001, -0.0018000000000000002, 0.7032, 0.0298, -0.0044, 0.42910000000000004, -0.008400000000000001, -0.32120000000000004, 0.6886, 0.1573, 0.6... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 3.5 * Z(1) + 7.5 * Z(2) + 7.0 * Z(4) + -4.0 * Z(0) + 10.0 * Z(3) + 14.5 * Z(5) + -5.5 * Z(6) + -3.0 ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0026) q[0];
rz(0.3768) q[0];
rx(0.2659) q[1];
rz(0.2891) q[1];
rx(0.703) q[2];
rz(0.0158) q[2];
rx(0.342) q[3];
rz(0.2038) q[3];
rx(0.6988) q[4];
rz(-0.0018) q[4];
rx(0.7032) q[5];
rz(0.0298) q[5];
rx(-0.0044) q[6];
rz(0.4291) q[6];
rx(-0.0084) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
6172ec2f30329f156b64312801e66ef4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 39.52417540550232} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | 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];
cry(1.5708) q[1], q[4];
cry(1.5706) q[1], q[5];
cry(-1.5626) q[6], q[0];
ry(1.0823) q[6];
cry(-0.4707) q[5], q[0];
cry(0.3045) q[1], q[6];
ry(-1.331) q[2];
cry(-0.2421) q[4], q[0];
cry(0.... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
b2f3c7c6f0d569b26aa5b37b6f864ae9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3},... | {"states": [0, 1983], "expectation_value": -12.427596885289978, "params": [-0.0151, 2.0093, -0.0055000000000000005, 0.0097, 0.2174, 3.1224000000000003, 0.47040000000000004, 0.0054, 0.09330000000000001, 0.29100000000000004, -0.381, 0.0045000000000000005, -0.5427000000000001, 3.2106000000000003, -0.6391, 0.0067, -0.6478,... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0... | 6 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0151) q[0];
rz(2.0093) q[0];
rx(0.2174) q[1];
rz(3.1224) q[1];
rx(0.0933) q[2];
rz(0.291) q[2];
rx(-0.5427) q[3];
rz(3.2106) q[3];
rx(-0.6478) q[4];
rz(0.101) q[4];
rx(0.9808) q[5];
rz(0.1071) q[5];
rx(-1.3306) q[6];
rz(0.1552) q[6];
rx(0.3965) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -20.735066195442844, "params": [[-0.0453, 0.0247, -0.0344], [0.07050000000000001, 0.0325, 0.0673]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.022066845171696367, 0.024067715745784608], "optimization_time": 6.231079339981079} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "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(-0.2718) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2718) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2718) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2718) q[3];
cx q[0], 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": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 988], "expectation_value": -2.2315063202596312, "params": [[-0.0407, -0.0577, -0.0565, -0.0369], [0.0176, 0.0597, 0.06620000000000001, 0.06280000000000001]], "bitstrings": ["00110101000", "10000100011"], "total_optimization_steps": 10, "probabilities": [0.0014318810030941795, 0.0014318810030941808], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | 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[1], q[0];
rz(-0.0407) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0407) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0407) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0407... | OPENQASM 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": []} |
4ecc9ed771dcd331d5bd236a08ecb2e8 | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.689584692078962, "params": [[1.4447, 1.608, 0.2356, 1.5664, 0.2048, 1.5845, 0.20750000000000002, 1.4526000000000001, 0.24630000000000002, 0.2519, 1.6032000000000002, 0.19360000000000002, 1.568, 0.1903, 1.6041, 0.2521], [0.2716, 1.2973000000000001, 0.2107, 1.5703, 0.197... | 0.25 * (Z(0) @ Z(1)) + 0.00017361111111111112 * (Z(2) @ Z(0)) + 0.00017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.020052083333296], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.020052083333257, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4447) q[0];
ry(1.608) q[1];
ry(0.2356) q[2];
ry(1.5664) q[3];
ry(0.2048) q[4];
ry(1.5845) q[5];
ry(0.2075) q[6];
ry(1.4526) q[7];
ry(0.2463) q[8];
ry(0.2519) q[9];
ry(1.6032) q[10];
ry(0.1936) q[11];
ry(1.568) q[12];
ry(0.1903) q[13];
ry(1.6041) q[14];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
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