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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5012229774638263266 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6], [1, 2, 3], [1, 4, 5, 6], [0, 3], [1, 3, 4, 5], [0, 7]]} | {"states": [214, 87], "expectation_value": -2.058692630448973, "params": null, "bitstrings": ["00101001", "10101000"], "total_optimization_steps": 49, "probabilities": [0.0520593536799119, 0.8551305784525692], "optimization_time": 74.9681088924408} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["10101000"]} | 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(1.3603) q[5];
cry(-1.0342) q[7], q[0];
ry(1.3706) q[3];
cry(-0.5041) q[3], q[0];
ry(1.1461) q[7];
ry(-0.4335) q[0];
cry(0.345) q[3], q[7];
cry(0.1859) q[7], q[3];
cry(-0.0976) q[5], q[0];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3603) 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[... |
253d3995de007ce15800f0023018551d | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -0.5571018882312206, "params": [[-0.0728], [0.0702]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010114101794545494, 0.010733617544485423], "optimization_time": 1.6277687549591064} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | 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(0.0728) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0364) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1456) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(-0.2548) q[6];
cx q[0], q[6];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.058919729012099416, "params": [[-0.0134, 0.0765], [0.0553, -0.058300000000000005]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.016877479043181758, 0.01701115250352324], "optimization_time": 1.6638190746307373} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.0067) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(0.0201) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.0201) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0067) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.006... | OPENQASM 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [88, 76], "expectation_value": -1.1281483838861353, "params": [[0.07350000000000001, 0.0708, 0.0799], [-0.07930000000000001, -0.07390000000000001, -0.08220000000000001]], "bitstrings": ["0100111", "0110011"], "total_optimization_steps": 10, "probabilities": [0.014902569916303116, 0.014902569916303121], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | 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(0.0735) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0735) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0735) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(0.0735) q[2];
cx q[4], q[2];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
74d5ddcff247f576d2434a3de6e40143 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [343, 342], "expectation_value": -59.3484570206725, "params": [2.5952, 0.0023, 1.0823, 0.005, 2.6077, 0.005, 0.8691000000000001, 0.00030000000000000003, 2.5964, 0.004200000000000001, -0.0012000000000000001, 0.006500000000000001, 2.5973, 0.0066, 2.5916, 0.0001, 1.5396, 0.0061, 0.0076, 0.0038, 0.006, 0.0047, 0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(7) @ Z(6)) + 3.5 * Z(1) + 14.5 * Z(2) + 7.0 * Z(0) + 16.0 * Z(4) + 2.0 * Z(3) + -2.0 * Z(5)... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.5952) q[0];
rz(0.0023) q[0];
rx(1.0823) q[1];
rz(0.005) q[1];
rx(2.6077) q[2];
rz(0.005) q[2];
rx(0.8691) q[3];
rz(0.0003) q[3];
rx(2.5964) q[4];
rz(0.0042) q[4];
rx(-0.0012) q[5];
rz(0.0065) q[5];
rx(2.5973) q[6];
rz(0.0066) q[6];
rx(2.5916) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 220.28355979919434} | 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 | 4 | {"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];
ry(-7.2777) q[3];
ry(30.9012) q[6];
ry(0.864) q[5];
ry(14.6983) q[2];
cry(10.2049) q[2], q[6];
cry(-33.552) q[5], q[6];
ry(0.171) q[7];
ry(-0.197) q[0];
cry(-0.2929) q[2], q[0];
cry(0.2135... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) 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] = ... |
4a14cd8b630df55241ce93a8b21280b3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [152, 156], "expectation_value": -2.936429303891836, "params": [0.4005, 0.0005, 0.1535, 0.1995, -0.0154, 0.20800000000000002, 0.4007, 0.008400000000000001, 0.40280000000000005, -0.0026000000000000003, 0.3996, 0.003, 0.1491, 0.1449, 0.1762, -0.10740000000000001, 0.4068, 0.0031000000000000003, 0.1539, 0.205700... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + 0.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["11100001", "00101011", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4005) q[0];
rz(0.0005) q[0];
rx(0.1535) q[1];
rz(0.1995) q[1];
rx(-0.0154) q[2];
rz(0.208) q[2];
rx(0.4007) q[3];
rz(0.0084) q[3];
rx(0.4028) q[4];
rz(-0.0026) q[4];
rx(0.3996) q[5];
rz(0.003) q[5];
rx(0.1491) q[6];
rz(0.1449) q[6];
rx(0.1762) 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": []} |
ae05ce72b7df15983d820553f894fc63 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [31, 223], "expectation_value": -7.280759694914506, "params": [-0.9899, 0.2713, -0.7606, 0.047, -1.2121, -0.1496, -0.8938, -0.13540000000000002, -0.0767, 0.9351, 0.23650000000000002, 0.11180000000000001, 0.43970000000000004, 0.0442, 0.4822, 0.0646, 0.35350000000000004, -0.1262, 0.5572, -0.0149, 0.57790000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 6 | 8 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.9899) q[0];
rz(0.2713) q[0];
rx(-1.2121) q[1];
rz(-0.1496) q[1];
rx(-0.0767) q[2];
rz(0.9351) q[2];
rx(0.4397) q[3];
rz(0.0442) q[3];
rx(0.3535) q[4];
rz(-0.1262) q[4];
rx(0.5779) q[5];
rz(-0.1562) q[5];
rx(0.6271) q[6];
rz(-0.1718) q[6];
rx(0.5468) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} |
365bd3af521df6f6f3ae706a5c8f048c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [127, 2047], "expectation_value": -15.492685381093825, "params": null, "bitstrings": ["11110000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.05873144995191349, 0.43701213768791697], "optimization_time": 245.0080122947693} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[9], q[8];
cry(1.5708) q[8], q[10];
cry(1.5706) q[0], q[2];
cry(1.5708) q[2], q[3];
cry(1.2391) q[3], q[0];
cry(1.5708) q[2], q[1];
cry(-0.7545) q[3], q[2];... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[9], 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[... |
a4887282391b847c36275b441eb6d545 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [6109, 6078], "expectation_value": -0.07275157375630405, "params": [[-0.039900000000000005, 0.0796], [0.07390000000000001, -0.058100000000000006]], "bitstrings": ["0100000100010", "0100001000001"], "total_optimization_steps": 10, "probabilities": [0.00014750296884708403, 0.00014750296884708436], "optimizatio... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 2 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.125, "smallest_bitstrings": ["0000110000010", "1000000001001", "0010000101000", "1000000000110", "0001010000001", "0100000100010", "0000101010000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[1], q[0];
rz(-0.005) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.005) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.005) q[0];
cx q[3], q[0];
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] 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": []} |
8e81033b0eea1a78c9dc239f0b77952c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [480, 504], "expectation_value": -8.98345451153499, "params": null, "bitstrings": ["000011111", "000000111"], "total_optimization_steps": 73, "probabilities": [0.19667243019862407, 0.589289984946097], "optimization_time": 114.77538299560547} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(8) + -1.5 * Z(6) + -1.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[6];
cry(1.5706) q[0], q[1];
ry(1.056) q[0];
cry(1.5707) q[0], q[2];
cry(1.5701) q[1], q[3];
ry(0.3717) q[1];
cry(1.5486) q[5], q[4];
cry(1.2305) q[4], q[5];
cry(0.2247) q[2],... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
766ad5c893fdabef4db5a6d615ba911f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [94, 92], "expectation_value": -2.0706672563160757, "params": [0.0045000000000000005, 0.20500000000000002, 0.4062, 0.00030000000000000003, 0.0021000000000000003, 0.3073, 0.4051, 0.002, 0.39930000000000004, 0.0092, 0.4068, 0.0021000000000000003, 0.3926, 0.0009000000000000001, 0.0039000000000000003, 0.1957, -0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["10100011", "10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0045) q[0];
rz(0.205) q[0];
rx(0.4062) q[1];
rz(0.0003) q[1];
rx(0.0021) q[2];
rz(0.3073) q[2];
rx(0.4051) q[3];
rz(0.002) q[3];
rx(0.3993) q[4];
rz(0.0092) q[4];
rx(0.4068) q[5];
rz(0.0021) q[5];
rx(0.3926) q[6];
rz(0.0009) q[6];
rx(0.0039) q[7];
rz(0.19... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
fd1e3e984b6f55b41650895a4a34034d | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [150, 151], "expectation_value": -5.0124177992780625, "params": [[[0.0029000000000000002, 1.0755000000000001], [1.5724, 0.0019], [0.0026000000000000003, 0.9354], [-0.0021000000000000003, -0.9540000000000001], [1.5677, 0.0019], [0.003, -1.102], [1.5696, 0.002], [1.5677, 0.002], [0.7992, -0.0009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(8) + -0.5 * Z(3) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(1.0755) q[0];
rx(1.5724) q[1];
rz(0.0019) q[1];
rx(0.0026) q[2];
rz(0.9354) q[2];
rx(-0.0021) q[3];
rz(-0.954) q[3];
rx(1.5677) q[4];
rz(0.0019) q[4];
rx(0.003) q[5];
rz(-1.102) q[5];
rx(1.5696) q[6];
rz(0.002) q[6];
rx(1.5677) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1751951701620481849 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [3, 4], [0, 1], [1, 2]]} | {"states": [10, 21], "expectation_value": -0.033688906391957596, "params": [[-0.0604], [0.0708]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.0333814928952569, 0.0333814928952569], "optimization_time": 0.9456539154052734} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"]} | 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[4], q[1];
rz(-0.0604) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.0604) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(-0.0604) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0604) q[2];
cx q[1], q[2];
rz(0) q[4];
rz(0) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} |
-6249628455858021985 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [1, 2, 4, 5, 6, 7], [0, 1, 4, 7, 8], [9, 5, 6], [9, 2, 5, 7], [1, 3, 9], [0, 8, 3, 7], [9, 2, 4, 6], [0, 2, 4, 5, 8], [8, 2, 3, 6], [0, 1, 2, 5, 6, 7, 8], [8, 4, 6, 7], [9, 4, 6, 7], [9, 2, 4, 7], [2, 3, 4]]} | {"states": [955, 947], "expectation_value": -2.6019132307375963, "params": [1.5769, 1.5797, 1.5785, 1.526, 1.2978, 1.5835000000000001, 0.3592, 0.33330000000000004, 1.5792000000000002, 1.5245, 0.312, 0.3116, 1.5651000000000002, 1.5803, 0.7385, 0.6579, 1.5761, 1.5811000000000002, 1.1304, 1.5751000000000002, 1.4376, 1.091... | 0.5 * (Z(3) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.1904761904761905 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.41666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.507142857142857], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4404761904761907, "smallest_bitstrings": ["0001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5769) q[0];
ry(1.5785) q[1];
ry(1.2978) q[2];
ry(0.3592) q[3];
ry(1.5792) q[4];
ry(0.312) q[5];
ry(1.5651) q[6];
ry(0.7385) q[7];
ry(1.5761) q[8];
ry(1.1304) q[9];
crx(1.4376) q[9], q[0];
crx(1.2312) q[8], q[9];
crx(-0.2507) q[7], q[8];
crx(0.0771) 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": []} |
549ddf61b33c747b7d039a2118793eec | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [0, 119], "expectation_value": -8.856843817652155, "params": [0.3538, 0.4847, -0.2821, 0.2403, 0.3619, 0.7111000000000001, -0.2954, 0.4096, 0.40030000000000004, 0.37510000000000004, 0.20070000000000002, 0.8447, 0.3538, 0.6516000000000001, 0.2591, 0.8112, -0.40540000000000004, 0.1933, -0.3311, 0.5521, -0.3859... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3538) q[0];
rz(0.4847) q[0];
rx(0.3619) q[1];
rz(0.7111) q[1];
rx(0.4003) q[2];
rz(0.3751) q[2];
rx(0.3538) q[3];
rz(0.6516) q[3];
rx(-0.4054) q[4];
rz(0.1933) q[4];
rx(-0.3859) q[5];
rz(0.1109) q[5];
rx(-0.4044) q[6];
rz(0.2076) q[6];
crx(0.4776) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -0.2919079854006929, "params": [[-0.0529, 0.0506], [0.0717, -0.016800000000000002]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009654951992002454, 0.010127781988097792], "optimization_time": 3.2431936264038086} | -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 | 2 | {"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;
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(0.0265) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0529) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0529) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0529) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [89, 60], "expectation_value": -0.25121194313305517, "params": [[0.0693, 0.0722, 0.0758], [-0.0541, -0.0625, -0.0687]], "bitstrings": ["0100110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.011838621507854873, 0.011838621507854885], "optimization_time": 7.976994276046753} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0347) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0347) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0347) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0347) q[0];
cx q[1], 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
57b603fea16672654ffa7728b135c9e8 | 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": [550, 551], "expectation_value": -93.56005568502354, "params": [[[0.8736, -0.0036000000000000003], [0.23390000000000002, 0.0035], [0.0199, 0.0033], [0.167, 0.022500000000000003], [0.9454, 0.3526], [-0.030600000000000002, 0.3826], [0.005200000000000001, -0.2064], [0.0183, 0.6712], [0.6842, 0.5847], [0.0411000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(2) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(9) @ Z(6)) + 23.0 * Z(0) + -3.5 * Z(1) + 9.0 * Z(3) + 21.5 * Z(4) + -6.5 * Z(5) + 6.5 * Z(7... | 15 | 10 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8736) q[0];
ry(0.2339) q[1];
ry(0.0199) q[2];
ry(0.167) q[3];
ry(0.9454) q[4];
ry(-0.0306) q[5];
ry(0.0052) q[6];
ry(0.0183) q[7];
ry(0.6842) q[8];
ry(0.0411) 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, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [363, 238], "expectation_value": -0.422509485565592, "params": [[-0.0653, -0.0632, -0.058600000000000006, -0.012700000000000001], [0.0732, 0.07390000000000001, 0.07780000000000001, 0.0603]], "bitstrings": ["010010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.004268286273847717, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"]} | 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(-0.0326) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0326) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0326) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0326) 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[... | null | {"circuits": [], "gradients": []} |
1f66a53262f397c1cb35ee5d70a20155 | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 992], "expectation_value": -2.077066771387677, "params": [[-0.056400000000000006], [0.07250000000000001]], "bitstrings": ["0000000000", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0017112042677525025, 0.0017796446708221844], "optimization_time": 0.8877692222595215} | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(7)) + -3.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["0000011111"]} | 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[4], q[0];
rz(0.282) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.282) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.0564) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.282) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[4], q[0];
rz(x0) q[0];
cx q[4], q... | {"node": 7} | {"circuits": [], "gradients": []} |
3752093b82ed107b6f6f5e75324b3162 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -1.2888249275088675, "params": [[-0.059000000000000004, -0.0673, -0.0631, -0.0507], [0.057800000000000004, 0.0714, 0.0714, 0.06470000000000001]], "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011721316374421909, 0.0122352043218992... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0295) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.059) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0295) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.059) q[1];
cx q[3], q[1];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
4165764377757512370 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5, 6, 8, 9], [0, 2, 3, 5, 6, 7, 9], [8, 9, 6, 1], [8, 2, 7], [1, 3, 4, 6], [8, 1, 7], [0, 4, 5, 7], [1, 2, 3, 6, 8]]} | {"states": [499, 1011], "expectation_value": -1.798906977351944, "params": [0.8616, 0.8721, 1.1733, 1.1782000000000001, 1.4935, 1.4964000000000002, 1.572, 1.5647, 1.6991, 1.4576, 1.834, 1.3225, 0.22890000000000002, 0.22840000000000002, 0.24680000000000002, 0.24500000000000002, 1.5747, 1.5628, 1.5604, 1.5771000000000002... | 0.07380952380952381 * (Z(2) @ Z(5)) + 0.07380952380952381 * (Z(6) @ Z(5)) + 0.12380952380952381 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.26666666666666666 * (Z(8) @ Z(2)) + 0.18333333333333335 * (Z(8) @ Z(6)) + 0.07380952380952381 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(9) @ Z(2)) + 0.15714285714285714 * (Z(9) @ Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-2.0071428571428576], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.007142857142857, "smallest_bitstrings": ["0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8616) q[0];
ry(1.1733) q[1];
ry(1.4935) q[2];
ry(1.572) q[3];
ry(1.6991) q[4];
ry(1.834) q[5];
ry(0.2289) q[6];
ry(0.2468) q[7];
ry(1.5747) q[8];
ry(1.5604) q[9];
crz(-0.0114) q[9], q[0];
crz(0.0008) q[8], q[9];
crz(0.4941) q[7], q[8];
crz(0.9282) 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": []} |
dab40a2f654e93a72357d226e03c7017 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [855, 827], "expectation_value": -0.011972349027220554, "params": [[-0.0155, 0.0334], [0.0256, -0.029900000000000003]], "bitstrings": ["0010101000", "0011000100"], "total_optimization_steps": 10, "probabilities": [0.0010058651032893299, 0.001005865103289332], "optimization_time": 13.303764581680298} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0077) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0077) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0077) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | null | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | 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": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 48.454782485961914} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.5354) q[2], q[5];
cry(1.2281) q[5], q[2];
cry(1.4175) q[5], q[6];
cry(-1.4856) q[6], q[0];
cry(1.1156) q[1], q[3];
ry(-0.4438) q[3];
cry(0.6835) q[4],... | 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(1.5158) q[4], 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]... |
e60ca187b2aa1b0a553cfc8d9bd214a9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 7, "sourc... | {"states": [407, 213], "expectation_value": -48.29123201458397, "params": null, "bitstrings": ["001101000", "100101010"], "total_optimization_steps": 100, "probabilities": [0.11561407469452673, 0.29455335633810115], "optimization_time": 161.586505651474} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 14.5 * Z(2) + 3.5 * Z(3) + 15... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"]} | 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(8.8595) q[4];
ry(-22.6958) q[2];
ry(31.8416) q[6];
ry(3.4818) q[1];
cry(16.0397) q[2], q[4];
cry(-57.1168) q[2], q[1];
cry(62.8533) q[2], q[6];
cry(-5.0854) q[6], q[1];
ry(0.4368) q[3];... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -1.5706465763653998, "params": [[0.0663, 0.0648], [-0.06860000000000001, -0.050800000000000005]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004190984970143115, 0.0049362287322159484], "optimization_time": 4.615786552429199} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0994) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0663) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0994) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0663) q[6];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4421c497e819297a0c75498974257550 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [228, 236], "expectation_value": -31.95434116845696, "params": null, "bitstrings": ["100011011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.11080866571921213, 0.13523567582035137], "optimization_time": 151.67423129081726} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1246) q[2];
ry(33.8963) q[3];
cry(10.9225) q[3], q[2];
ry(11.5233) q[5];
ry(-21.7935) q[7];
cry(-9.0727) q[3], q[7];
ry(2.5183) q[4];
cry(-7.6245) q[4], q[7];
ry(0.7551) q[0];
cry(3.9... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) 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] = m... |
79f35b6d03d414c940de063a7b2cae82 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [218, 202], "expectation_value": -26.417981861570944, "params": [[[0.3703, -0.323], [0.9993000000000001, -0.0016], [0.9972000000000001, -0.0018000000000000002], [0.3849, 0.2921], [0.7736000000000001, 0.0951], [1.0016, -0.0008], [0.0047, 0.2843], [1.0023, -0.0012000000000000001], [0.0013000000000000002, 0.533... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 1.5 * Z(2) + -2.5 * Z(0) + -4.5 * Z(1) + 0.0 * Z(4) + -2... | 1 | 9 | 2 | {"smallest_eigenvalues": [-45.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["100110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3703) q[0];
rz(-0.323) q[0];
rx(0.9993) q[1];
rz(-0.0016) q[1];
rx(0.9972) q[2];
rz(-0.0018) q[2];
rx(0.3849) q[3];
rz(0.2921) q[3];
rx(0.7736) q[4];
rz(0.0951) q[4];
rx(1.0016) q[5];
rz(-0.0008) q[5];
rx(0.0047) q[6];
rz(0.2843) q[6];
rx(1.0023) 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
ba18230f0a2665f8e2b66e24ba5d7b4e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"we... | {"states": [9562, 9578], "expectation_value": -1.564804030934468, "params": null, "bitstrings": ["01101010100101", "01101010010101"], "total_optimization_steps": 100, "probabilities": [0.03401256408344108, 0.509746527874634], "optimization_time": 431.08514952659607} | 0.25 * (Z(0) @ Z(1)) + -0.00026041666666666666 * (Z(2) @ Z(0)) + -0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00026041666666666666 * (Z(4) @ Z(0)) + -0.0006510416666666666 * (Z(4) @ Z(2)) + -0.00026041666666666666 * (Z(5) @ Z(1)) + -0.0006510416666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -... | 16 | 14 | 1 | {"smallest_eigenvalues": [-1.7648437499999898], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7648437499999776, "smallest_bitstrings": ["01101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cry(-0.5959) q[0], q[1];
cry(-0.5936) q[8], q[9];
cry(-0.594) q[10], q[11];
cry(-0.5944) q[12], q[13];
cry(-0.5934) q[7], q[6];
cry(-0.5938) q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncry(-0.5959) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure ... |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [9, 13], "expectation_value": -3.0742236105042116, "params": [0.0019, 0.1996, -0.0118, 0.21250000000000002, 0.4, 0.0857, 0.4042, 0.0103, 0.39280000000000004, 0.135, 0.404, 0.216, -0.006200000000000001, 0.20220000000000002, -0.016300000000000002, 0.2169, 0.40280000000000005, 0.1066, 0.403, 0.01270000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0019) q[0];
rz(0.1996) q[0];
rx(-0.0118) q[1];
rz(0.2125) q[1];
rx(0.4) q[2];
rz(0.0857) q[2];
rx(0.4042) q[3];
rz(0.0103) q[3];
rx(0.3928) q[4];
rz(0.135) q[4];
rx(0.404) q[5];
rz(0.216) q[5];
crz(0.22) q[5], q[4];
crz(-0.1095) q[4], q[3];
crz(-0.0026) 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": []} |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -3.1268589045006023, "params": [[-0.0637, -0.0674, -0.058800000000000005, -0.0269], [0.06420000000000001, 0.07300000000000001, 0.0731, 0.060200000000000004]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.03263393100900247, 0.03399025... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0956) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.1274) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0637) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(0.1911) q[4];
cx q[1], q[4];
cx q[5], 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": []} |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.7498634616065676, "params": [[0.0027, -0.0024000000000000002, -0.0024000000000000002, 1.2562, 0.0014, -0.0025, -0.0021000000000000003], [1.5695000000000001, -0.0018000000000000002, 0.0023, 1.2183000000000002, -0.005200000000000001, 0.0036000000000000003, -0.0027], [-1.8346,... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 9 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0027) q[0];
rx(-0.0024) q[1];
rx(-0.0024) q[2];
rx(1.2562) q[3];
rx(0.0014) q[4];
rx(-0.0025) q[5];
rx(-0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [371, 413], "expectation_value": -1.1066079113696148, "params": [[-0.0733, -0.084], [0.0737, 0.078]], "bitstrings": ["010001100", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0034876941467687633, 0.0034876941467687638], "optimization_time": 6.071936845779419} | 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 | 2 | {"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];
cx q[1], q[0];
rz(-0.0733) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0733) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0733) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0733) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [467, 250], "expectation_value": -0.06458959486882447, "params": [[0.0256, -0.023, -0.036500000000000005, -0.046], [-0.0533, -0.013300000000000001, 0.0142, 0.038200000000000005]], "bitstrings": ["000101100", "100000101"], "total_optimization_steps": 10, "probabilities": [0.0022512169177384355, 0.002251216917... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | 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(0.0064) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0064) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0064) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0064) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
784a03ffbabc0f60845c721012a57bd6 | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [676, 678], "expectation_value": -5.522381652106263, "params": [[[1.612, 0.0089], [0.0031000000000000003, 0.0098], [1.6067, 0.0019], [0.0025, 0.0083], [1.6132, 0.005200000000000001], [0.0023, 0.005200000000000001], [0.0022, 0.0095], [1.6113000000000002, 0.0057], [1.6055000000000001, 0.0016], [0.5336000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101011001", "0001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.612) q[0];
rz(0.0089) q[0];
rx(0.0031) q[1];
rz(0.0098) q[1];
rx(1.6067) q[2];
rz(0.0019) q[2];
rx(0.0025) q[3];
rz(0.0083) q[3];
rx(1.6132) q[4];
rz(0.0052) q[4];
rx(0.0023) q[5];
rz(0.0052) q[5];
rx(0.0022) q[6];
rz(0.0095) q[6];
rx(1.6113) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [49290, 49284], "expectation_value": -18.69712493500341, "params": [[0.1306, 1.3828, -0.0029000000000000002, -0.0039000000000000003, 0.0008, -0.0045000000000000005, -0.0026000000000000003, 0.2914, 1.6840000000000002, -0.0021000000000000003, -0.0046, -0.0025, 1.5762, 1.6275000000000002, 1.5770000000000002, -0... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 10 | 16 | 1 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.1306) q[0];
ry(1.3828) q[1];
ry(-0.0029) q[2];
ry(-0.0039) q[3];
ry(0.0008) q[4];
ry(-0.0045) q[5];
ry(-0.0026) q[6];
ry(0.2914) q[7];
ry(1.684) q[8];
ry(-0.0021) q[9];
ry(-0.0046) q[10];
ry(-0.0025) q[11];
ry(1.5762) q[12];
ry(1.6275) q[13];
ry(1.577) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
a0deb444319ced8bcdcd189586ecfbe8 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [25, 89], "expectation_value": -8.559779915146871, "params": [0.0007, 0.3109, 0.0034000000000000002, 0.0035, 0.2722, 0.464, 0.26780000000000004, 0.008700000000000001, 0.0028, 0.4423, 0.0028, 0.0022, 0.8014, 0.13520000000000001, 0.8031, 0.0024000000000000002, 0.001, 0.4505, 0.0011, 0.0091, 0.8078000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011100110", "1110110010", "1110100110", "1110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0007) q[0];
rz(0.3109) q[0];
rx(0.2722) q[1];
rz(0.464) q[1];
rx(0.0028) q[2];
rz(0.4423) q[2];
rx(0.8014) q[3];
rz(0.1352) q[3];
rx(0.001) q[4];
rz(0.4505) q[4];
rx(0.8078) q[5];
rz(0.1559) q[5];
rx(0.8035) q[6];
rz(0.0001) q[6];
rx(0.288) 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": []} |
6aecb2db5a17939aba5a720d201b5cc2 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [52, 74], "expectation_value": -0.12718486493565004, "params": [[0.06470000000000001], [-0.0514]], "bitstrings": ["1001011", "0110101"], "total_optimization_steps": 10, "probabilities": [0.00860349834863228, 0.008604084274442774], "optimization_time": 1.3713181018829346} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001110", "0110110", "0110101", "1001011", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0647) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0647) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(0.0647) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(0.0647) q[3];
cx q[4], q[3];
cx q[3], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
60398fb48fae0ab80db73ff204bb2283 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "ta... | {"states": [12, 76], "expectation_value": -4.5374911353066905, "params": [-0.0023, 0.26980000000000004, 0.47690000000000005, 0.055200000000000006, 0.0553, 0.3161, -0.002, 0.2876, 0.5051, 0.12010000000000001, 0.5015000000000001, 0.0008, 0.10250000000000001, 0.2738, 0.0391, 0.3018, 0.0024000000000000002, 0.2808, 0.467400... | 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(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111001", "11001101", "10101101", "10110011", "11010110", "11110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0023) q[0];
rz(0.2698) q[0];
rx(0.4769) q[1];
rz(0.0552) q[1];
rx(0.0553) q[2];
rz(0.3161) q[2];
rx(-0.002) q[3];
rz(0.2876) q[3];
rx(0.5051) q[4];
rz(0.1201) q[4];
rx(0.5015) q[5];
rz(0.0008) q[5];
rx(0.1025) q[6];
rz(0.2738) q[6];
rx(0.0391) 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": []} |
8148881560921472967 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 4], [1, 6, 7], [0, 3, 4, 6, 7], [4, 5, 6, 7], [0, 2, 3, 4, 5, 7], [0, 3, 5, 6]]} | {"states": [229, 245], "expectation_value": -0.7712188701124963, "params": [[0.331], [-0.3272]], "bitstrings": ["00011010", "00001010"], "total_optimization_steps": 40, "probabilities": [0.010281760590457809, 0.010847331662286323], "optimization_time": 3.3268790245056152} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(6)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.3 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0500000000000003, "smallest_bitstrings": ["00001010"]} | 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[2];
rz(0.331) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(0.1103) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.0883) q[4];
cx q[6], q[4];
cx q[2], q[4];
rz(0.0221) q[4];
cx q[2], q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
863bb0118454615128c464614dcacff0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 109], "expectation_value": -54.640655940678506, "params": [-0.0027, 0.6207, 0.9058, -0.0009000000000000001, 0.8971, 0.1393, 0.4549, 0.2642, 0.8957, -0.007500000000000001, 0.8967, 0.07880000000000001, 0.39940000000000003, 0.38370000000000004, 0.8921, 0.0279, -0.0025, 0.6166, 0.9033, 0.0022, 0.8941, 0.14... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -4.5 * Z(0) + 20.0 * Z(5) + 16.0 * Z(2) + 6.5 * Z(3) + 19.5 * Z(4) + 3.5 * Z(6) + 7.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(0.6207) q[0];
rx(0.9058) q[1];
rz(-0.0009) q[1];
rx(0.8971) q[2];
rz(0.1393) q[2];
rx(0.4549) q[3];
rz(0.2642) q[3];
rx(0.8957) q[4];
rz(-0.0075) q[4];
rx(0.8967) q[5];
rz(0.0788) q[5];
rx(0.3994) q[6];
rz(0.3837) q[6];
rx(0.8921) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
9e7016c164f10697b0206c1127149a76 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -9.972728722406805, "params": [[-0.0403, -0.0333, -0.020800000000000003, -0.0106], [0.0635, 0.0717, 0.0699, 0.0645]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.04480119158578794, 0.04601877133082025], "optimization_time": 7.814395666... | 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)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 14 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1814) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1814) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1814) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1814) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
5ead2f429c96918822571a5b0efcbbf0 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"sour... | {"states": [449, 457], "expectation_value": -3.789905129403807, "params": [0.8102, 0.0045000000000000005, 0.8056000000000001, 0.0035, 0.8105, 0.0074, 0.1524, 0.2989, 0.0655, 0.0167, 0.7976000000000001, 0.0115, 0.3885, -0.1923, 0.37920000000000004, 0.0017000000000000001, 0.8036000000000001, 0.0031000000000000003, 0.8071... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8102) q[0];
rz(0.0045) q[0];
rx(0.8056) q[1];
rz(0.0035) q[1];
rx(0.8105) q[2];
rz(0.0074) q[2];
rx(0.1524) q[3];
rz(0.2989) q[3];
rx(0.0655) q[4];
rz(0.0167) q[4];
rx(0.7976) q[5];
rz(0.0115) q[5];
rx(0.3885) q[6];
rz(-0.1923) q[6];
rx(0.3792) 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": []} |
7213bcdac492d012065ef417f31c81b5 | 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": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [380, 220], "expectation_value": -8.259485631814567, "params": [[-0.0417], [0.053000000000000005]], "bitstrings": ["010000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.003347659384151365, 0.0037698484348978154], "optimization_time": 2.1037094593048096} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3753) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3753) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3753) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.3753) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 14], "expectation_value": -0.1662555560787412, "params": [[0.07640000000000001, 0.07010000000000001], [-0.0854, -0.0767]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.07095079570174645, 0.0791612545515655], "optimization_time": 0.9560854434967041} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0764) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0764) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0764) q[2];
cx q[3], q[2];
rz(-0.1528) q[3];
rz(0) q[0];
rz(0) q[1];
rz(0) q[2];
h q[0];
rz(-0.1708) q[0];
h q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx... | null | {"circuits": [], "gradients": []} |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [129, 131], "expectation_value": -8.61268694874579, "params": [-0.0002, -0.2979, -0.007500000000000001, -0.3523, -0.006900000000000001, -0.32330000000000003, -0.01, -0.3675, 0.38120000000000004, 0.1121, 0.3926, 0.0089, -0.0054, -0.34400000000000003, -0.0036000000000000003, -0.35600000000000004, -0.0047, -0.3... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 5 | 10 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0002) q[0];
rz(-0.2979) q[0];
rx(-0.0069) q[1];
rz(-0.3233) q[1];
rx(0.3812) q[2];
rz(0.1121) q[2];
rx(-0.0054) q[3];
rz(-0.344) q[3];
rx(-0.0047) q[4];
rz(-0.3628) q[4];
rx(-0.0063) q[5];
rz(-0.3508) q[5];
rx(-0.0045) q[6];
rz(-0.3653) q[6];
rx(0.0045... | 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": []} |
4455f86d6bbe6ba7a95bec45f96460b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"sour... | {"states": [292, 300], "expectation_value": -4.55023473274114, "params": [[1.0401, 0.2624, 0.0241, 1.0491000000000001, 0.0064, 0.5351, 1.1978, -0.0162, -0.0849], [0.9782000000000001, 0.3688, 0.0862, 1.0421, -0.0021000000000000003, -0.4032, 0.8699, 0.3342, 0.08360000000000001], [1.0738, 0.0219, 0.0115, 1.0644, -0.0011, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(2) + -0.5 * Z(3) + -1.5 * Z... | 10 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110011", "011011010", "011010011", "101100011", "110100011", "101011010", "101010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.0401) q[0];
ry(0.2624) q[1];
ry(0.0241) q[2];
ry(1.0491) q[3];
ry(0.0064) q[4];
ry(0.5351) q[5];
ry(1.1978) q[6];
ry(-0.0162) q[7];
ry(-0.0849) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [65, 1], "expectation_value": -1.6891326933558077, "params": [[-0.0852, -0.0876], [0.0785, 0.08030000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004876229016089163, 0.00496141305790236], "optimization_time": 2.8337104320526123} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["111111110", "111111100", "110111100", "110111110"]} | 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(0.1278) q[0];
cx q[3], q[0];
cx q[0], q[8];
rz(-0.1704) q[8];
cx q[0], q[8];
cx q[3], q[1];
rz(0.1704) q[1];
cx q[3], q[1];
cx q[1], q[6];
rz(0.1278) q[6];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1434096e59219230a9a448bfa214dbb8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.6410997287602207, "params": [0.004, -0.31620000000000004, 0.8368, 0.7271000000000001, 0.010100000000000001, 0.5739000000000001, -0.0912, 1.514, 0.4413, 0.2727, -0.7762, 0.0362, 0.0039000000000000003, -0.5344, 0.5079, 0.7099000000000001, 0.0324, 0.8253, -0.052500000000000005,... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 4 | 6 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.004) q[0];
rz(-0.3162) q[0];
rx(0.8368) q[1];
rz(0.7271) q[1];
rx(0.0101) q[2];
rz(0.5739) q[2];
rx(-0.0912) q[3];
rz(1.514) q[3];
rx(0.4413) q[4];
rz(0.2727) q[4];
rx(-0.7762) q[5];
rz(0.0362) q[5];
crx(0.8605) q[5], q[4];
crx(0.1752) q[4], q[3];
crx(-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": []} |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [41, 22], "expectation_value": -0.09929265371539878, "params": [[-0.016900000000000002, 0.06280000000000001, 0.0645], [0.06810000000000001, -0.0347, -0.052500000000000005]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.01781599686714824, 0.01781599686714825], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0169) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0169) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(-0.0169) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(-0.0042) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
690ab9a303c84e82b8d6c798626278a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.49126304711101, "params": [0.3786, -0.1973, 0.3259, -0.0523, -0.33080000000000004, 0.17350000000000002, -0.31570000000000004, 0.31320000000000003, 0.0008, 0.49000000000000005, 0.010400000000000001, 0.6282, -0.1998, 0.7708, 0.16970000000000002, 0.765, 0.0032, 0.7354, -0.007,... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 4 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3786) q[0];
rz(-0.1973) q[0];
rx(-0.3308) q[1];
rz(0.1735) q[1];
rx(0.0008) q[2];
rz(0.49) q[2];
rx(-0.1998) q[3];
rz(0.7708) q[3];
rx(0.0032) q[4];
rz(0.7354) q[4];
rx(-0.0018) q[5];
rz(0.4921) q[5];
rx(0.0039) q[6];
rz(0.3164) q[6];
rx(-0.0286) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
b4386623ef42d59378644c97d49e9610 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -5.931154216737432, "params": [[-0.0351], [0.0458]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.005764024315332197, 0.006133239259881608], "optimization_time": 3.527219533920288} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "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];
cx q[1], q[0];
rz(-0.3159) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3159) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.3159) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.3159) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 56], "expectation_value": -0.041925561709751966, "params": [[0.0304], [-0.022000000000000002]], "bitstrings": ["1110100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.00794929268690412, 0.007970119593744225], "optimization_time": 2.6095824241638184} | 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(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"]} | 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(0.0304) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0304) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0304) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0304) q[5];
cx q[0], q[5];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.2663610757407371, "params": [[-0.068, -0.06430000000000001, -0.07640000000000001], [0.07680000000000001, 0.0675, 0.0713]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.0424147832327833, 0.045621437046607066], "optimization_time": 2.54... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.034) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.068) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.034) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.068) q[4];
cx q[0], q[4];
cx q[1], q[4];
rz(0.034) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
8681159038575862133 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [2, 7], [0, 1], [5, 7], [3, 4], [1, 7], [6, 7], [1, 3], [3, 6], [1, 2], [0, 2], [0, 4], [0, 7], [4, 6]]} | {"states": [73, 182], "expectation_value": -0.06224772141627641, "params": [[-0.0438], [0.0514]], "bitstrings": ["10110110", "01001001"], "total_optimization_steps": 10, "probabilities": [0.00419188817767728, 0.00419188817767728], "optimization_time": 0.7221560478210449} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(5) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001001", "10110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(-0.0438) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0438) q[2];
cx q[1], q[2];
cx q[5], q[7];
rz(-0.0438) q[7];
cx q[5], q[7];
cx q[1], q[7];
rz(-0.0438) q[7];
cx q[1], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[1]... | null | {"circuits": [], "gradients": []} |
0963943ecfb82868686868de206d3c2c | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -2.320900166634894, "params": [[[0.004200000000000001, 0.6878000000000001], [-0.5844, 0.168], [1.0518, 0.0019], [0.0039000000000000003, 1.3205], [1.0588, -0.0035]], [[0.0017000000000000001, 0.741], [-0.5917, 0.307], [1.0501, 0.0019], [0.0021000000000000003, 1.3134000000000001], ... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0042) q[0];
rz(0.6878) q[0];
rx(-0.5844) q[1];
rz(0.168) q[1];
rx(1.0518) q[2];
rz(0.0019) q[2];
rx(0.0039) q[3];
rz(1.3205) q[3];
rx(1.0588) q[4];
rz(-0.0035) q[4];
rx(0.0017) q[0];
rz(0.741) q[0];
rx(-0.5917) q[1];
rz(0.307) q[1];
rx(1.0501) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 14.407137155532837} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.5681) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[1];
cry(0.1186) q[1], q[2];
cry(-0.0027) q[3], q[0];
cry(-0.0027) q[3], q[4];
cry(0.0072)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
540e4dc6cd5ba125f618f28f48205cbe | 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": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -13.720993992612874, "params": [[-0.036500000000000005, -0.018000000000000002], [0.0579, 0.0425]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005410691792061993, 0.006406048353108122], "optimization_time": 3.600921869277954} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"]} | 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(-0.3285) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3285) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3285) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3285) q[4];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-169116440002931486 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 4], [1, 2, 3, 5], [0, 1, 2, 3]]} | {"states": [43, 53], "expectation_value": -0.4573814570514889, "params": [[-0.3514], [0.3629]], "bitstrings": ["010100", "001010"], "total_optimization_steps": 40, "probabilities": [0.03065578133350924, 0.030923297303062508], "optimization_time": 2.19103741645813} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["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];
cx q[4], q[1];
rz(-0.3514) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.1171) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(-0.0586) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.1171) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], ... | null | {"circuits": [], "gradients": []} |
c22cec1796f2f52036673550667aae4b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -73.68039574027335, "params": [0.5802, 0.0031000000000000003, 3.0046, 0.0059, 2.9984, 0.0053, 1.5587, 0.0039000000000000003, 2.9985, 0.0047, 2.9963, 0.007200000000000001, 0.8199000000000001, 0.0038, 3.0023, 0.0088, 1.1766, 0.0009000000000000001, 0.0035, 0.0055000000000000005,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5802) q[0];
rz(0.0031) q[0];
rx(3.0046) q[1];
rz(0.0059) q[1];
rx(2.9984) q[2];
rz(0.0053) q[2];
rx(1.5587) q[3];
rz(0.0039) q[3];
rx(2.9985) q[4];
rz(0.0047) q[4];
rx(2.9963) q[5];
rz(0.0072) q[5];
rx(0.8199) q[6];
rz(0.0038) q[6];
rx(3.0023) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-5368182025704786211 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [5, 7], [3, 7], [2, 7], [1, 2], [3, 5], [0, 2], [5, 6], [0, 7], [4, 6]]} | {"states": [35, 220], "expectation_value": -0.09643432741460062, "params": [[0.07050000000000001], [-0.07]], "bitstrings": ["11011100", "00100011"], "total_optimization_steps": 10, "probabilities": [0.004381241798895853, 0.004381241798895853], "optimization_time": 0.6195597648620605} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011100", "11010011", "11010010", "10101100", "00101101", "01010011", "00100011", "00101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(0.0705) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0705) q[5];
cx q[3], q[5];
cx q[3], q[7];
rz(0.0705) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(0.0705) q[7];
cx q[2], q[7];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[2]... | null | {"circuits": [], "gradients": []} |
369573ac9490fc7ab9a36c7a904e7496 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [124, 127], "expectation_value": -0.9653974602569719, "params": [[-0.0506], [0.0565]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.010784552015177976, 0.010784552015177978], "optimization_time": 0.8343651294708252} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000", "0000011"]} | 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(0.253) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.253) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2024) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.253) q[3];
cx q[1], q[3];
cx q[0], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"node": 6} | {"circuits": [], "gradients": []} |
c29746f1f9b101fcb66cc7ae69070de4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [32, 38], "expectation_value": -5.835447582708712, "params": [0.0385, 0.125, 0.3472, -0.0059, 0.4067, 0.0022, 0.0035, 0.1951, 0.0641, -0.15080000000000002, 0.4061, -0.0022, 0.3961, 0.003, 0.1452, 0.14850000000000002, 0.0386, 0.1072, 0.3388, -0.0078000000000000005, 0.401, 0.0019, -0.003, 0.19490000000000002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["11011001", "01001111", "10111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0385) q[0];
rz(0.125) q[0];
rx(0.3472) q[1];
rz(-0.0059) q[1];
rx(0.4067) q[2];
rz(0.0022) q[2];
rx(0.0035) q[3];
rz(0.1951) q[3];
rx(0.0641) q[4];
rz(-0.1508) q[4];
rx(0.4061) q[5];
rz(-0.0022) q[5];
rx(0.3961) q[6];
rz(0.003) q[6];
rx(0.1452) 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": []} |
182a069273641020dc26595ce4905930 | 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": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [14, 76], "expectation_value": -3.99623714706493, "params": null, "bitstrings": ["1110001", "0110011"], "total_optimization_steps": 26, "probabilities": [0.06706855356024753, 0.9294631320333304], "optimization_time": 24.795299530029297} | 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(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100011", "0110011", "1110100", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
cry(-0.1259) q[4], q[1];
ry(-0.451) q[5];
cry(0.4963) q[4], q[0];
cry(-0.3... | 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[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", ... |
b7426bf0796d94563acebb66a8ec7bbd | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [386, 450], "expectation_value": -7.578450851269049, "params": [-0.004200000000000001, -0.004200000000000001, 1.2079, 1.2001000000000002, 1.1885000000000001, 1.1892, 0.7528, 0.7328, -0.033600000000000005, 0.032100000000000004, 0.011000000000000001, -0.007500000000000001, 0.18680000000000002, 0.188, 0.0539, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["0111010101", "1000111101", "1000111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0042) q[0];
ry(1.2079) q[1];
ry(1.1885) q[2];
ry(0.7528) q[3];
ry(-0.0336) q[4];
ry(0.011) q[5];
ry(0.1868) q[6];
ry(0.0539) q[7];
ry(1.2027) q[8];
ry(-0.0006) q[9];
crx(-0.3769) q[9], q[0];
crx(0.0038) q[8], q[9];
crx(-0.6417) q[7], q[8];
crx(-1.0044)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.051703475147088146, "params": [[0.0727], [-0.0722]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.033230859487637335, 0.03387174331793464], "optimization_time": 1.0888655185699463} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0364) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0727) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0364) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0727) q[4];
cx q[0], q[4];
cx q[1], q[4];
rz(-0.0364) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[3], q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2c0078c24e2f048bb94fb38dca61054c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [581, 613], "expectation_value": -2.7359726836187463, "params": [[[2.9054, 0.006900000000000001], [-0.0024000000000000002, 0.0078000000000000005], [-0.0024000000000000002, 0.0039000000000000003], [2.8957, 0.0097], [1.6304, 0.0098], [-0.0032, 0.0083], [0.8429000000000001, 0.0083], [2.7931, 0.00870000000000000... | 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110100110", "0110100101", "1110010010", "0110101001", "0110010110", "1110100001", "0110011010", "0110011001", "011110... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.9054) q[0];
rz(0.0069) q[0];
rx(-0.0024) q[1];
rz(0.0078) q[1];
rx(-0.0024) q[2];
rz(0.0039) q[2];
rx(2.8957) q[3];
rz(0.0097) q[3];
rx(1.6304) q[4];
rz(0.0098) q[4];
rx(-0.0032) q[5];
rz(0.0083) q[5];
rx(0.8429) q[6];
rz(0.0083) q[6];
rx(2.7931) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [11, 3], "expectation_value": -3.817218409862548, "params": [[[0.30210000000000004, -0.29400000000000004], [0.7606, -0.051800000000000006], [0.2697, 0.3118], [0.8175, 0.0099], [0.8975000000000001, -0.001]], [[0.3038, 0.001], [0.7689, 0.006500000000000001], [0.26990000000000003, 0.0036000000000000003], [0.821... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3021) q[0];
rz(-0.294) q[0];
rx(0.7606) q[1];
rz(-0.0518) q[1];
rx(0.2697) q[2];
rz(0.3118) q[2];
rx(0.8175) q[3];
rz(0.0099) q[3];
rx(0.8975) q[4];
rz(-0.001) q[4];
rx(0.3038) q[0];
rz(0.001) q[0];
rx(0.7689) q[1];
rz(0.0065) q[1];
rx(0.2699) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
-2865884077564365777 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6], [2, 6, 7], [1, 4, 6], [0, 6], [1, 6, 7], [0, 4, 5], [3, 5, 6], [4, 7], [3, 4, 6], [0, 2, 4], [0, 2, 7]]} | {"states": [110, 46], "expectation_value": -0.10540154017207184, "params": [[0.06330000000000001], [-0.0659]], "bitstrings": ["10010001", "11010001"], "total_optimization_steps": 10, "probabilities": [0.004250447478633243, 0.00429321562356937], "optimization_time": 0.7985150814056396} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326, -3.3333333333333326], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["10010001", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(0.0211) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(0.0633) q[6];
cx q[3], q[6];
cx q[2], q[6];
rz(0.0422) q[6];
cx q[2], q[6];
cx q[2], q[7];
rz(0.0422) q[7];
cx q[2], q[7];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(x1) q[6];
cx q[... | null | {"circuits": [], "gradients": []} |
c5d64ed1606b01b0449fbdbfaa48958e | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 69], "expectation_value": -0.15609592165815883, "params": [[-0.0575], [0.059000000000000004]], "bitstrings": ["1001101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008622074683730175, 0.008731926793249092], "optimization_time": 1.5109460353851318} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "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[2], q[0];
rz(-0.0575) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0575) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0575) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0575) q[4];
cx q[2], q[4];
cx q[5], 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;
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[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
267f594e5cb21532a1a860c7d4e0717d | 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}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [126, 118], "expectation_value": -58.05175423492696, "params": [0.7464000000000001, 0.45320000000000005, 1.5854000000000001, 0.0028, 1.5806, 0.0024000000000000002, 1.5847, -0.1221, 0.7741, -0.38380000000000003, 1.5868, -0.0044, 1.5872000000000002, -0.2586, 0.4944, -0.5212, 0.745, 0.007, 1.5857, 0.0027, 1.584... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7464) q[0];
rz(0.4532) q[0];
rx(1.5854) q[1];
rz(0.0028) q[1];
rx(1.5806) q[2];
rz(0.0024) q[2];
rx(1.5847) q[3];
rz(-0.1221) q[3];
rx(0.7741) q[4];
rz(-0.3838) q[4];
rx(1.5868) q[5];
rz(-0.0044) q[5];
rx(1.5872) q[6];
rz(-0.2586) q[6];
rx(0.4944) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
30889689ce1c686cb3fcc572d2854875 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [0, 94], "expectation_value": -2.843420342407517, "params": [0.2982, -0.0012000000000000001, 0.2918, -0.0034000000000000002, 0.3042, -0.0014, 0.308, -0.0011, 0.22160000000000002, 0.0008, 0.17470000000000002, 0.0039000000000000003, 0.30560000000000004, -0.0009000000000000001, 0.3093, -0.001, 0.2998, -0.002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2982) q[0];
rz(-0.0012) q[0];
rx(0.3042) q[1];
rz(-0.0014) q[1];
rx(0.2216) q[2];
rz(0.0008) q[2];
rx(0.3056) q[3];
rz(-0.0009) q[3];
rx(0.2998) q[4];
rz(-0.002) q[4];
rx(0.3091) q[5];
rz(-0.001) q[5];
rx(0.3093) q[6];
rz(0.0025) q[6];
rx(0.288) 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": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | 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": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [238, 413], "expectation_value": -1.302118263586896, "params": [[-0.0609, -0.038200000000000005, -0.0745], [0.0736, 0.053200000000000004, 0.06720000000000001]], "bitstrings": ["100010001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0038751793947515156, 0.003875179394751517], "optimizat... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0609) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0609) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0609) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0609) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
74c477dbe35486055f0a39f50499e44b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [886, 374], "expectation_value": -2.7073428514587983, "params": [[[1.1686, -0.004, 0.007200000000000001, 0.0051], [1.336, 0.0016, 1.3915, 0.0085], [-0.0019, 0.7778, 0.1257, 0.01], [-0.0114, 0.6848000000000001, -0.0046, 0.004], [1.5788, 0.0019, 1.5779, 0.009600000000000001], [1.5787, 0.0044, 1.5823, 0.0041], ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110001", "0001011010", "0001100110", "1001001010", "0010011001", "1010001001", "1000001011", "0011100100", "000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1686) q[0];
rz(-0.004) q[0];
ry(1.336) q[1];
rz(0.0016) q[1];
ry(-0.0019) q[2];
rz(0.7778) q[2];
ry(-0.0114) q[3];
rz(0.6848) q[3];
ry(1.5788) q[4];
rz(0.0019) q[4];
ry(1.5787) q[5];
rz(0.0044) q[5];
ry(0.0043) q[6];
rz(-1.0234) q[6];
ry(0.0032) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.2507054805755615} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cry(-1.4449) q[2], q[0];
ry(1.1646) q[2];
ry(-0.6267) q[0];
ry(-1.3919) q[1];
cry(-0.162) q[2], q[1];
cry(-0.0479) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0]... |
1466825564513291760 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 4, 5, 6, 8], [1, 3, 4, 7, 8], [0, 1, 5], [1, 5, 6], [0, 1, 3, 7, 8, 9], [8, 2, 5, 7], [8, 2, 3, 4], [0, 2, 4, 5, 7, 9], [0, 9, 6], [0, 2, 4, 6, 7, 8], [1, 2, 7, 8, 9], [2, 4, 5, 6, 8, 9], [2, 3, 4, 6, 9], [2, 3, 4, 5, 6, 7], [9, 2, 6, 1], [3, 4, 5, 7, 8, 9], ... | {"states": [814, 942], "expectation_value": -3.3556261919634984, "params": [1.5774000000000001, 1.5608, 1.5966, 1.5528000000000002, 0.8644000000000001, 0.8580000000000001, 0.1799, 0.1777, 1.605, 1.5423, 0.17350000000000002, 0.16670000000000001, 1.5624, 1.5832000000000002, 1.5670000000000002, 1.5708, 1.5702, 1.575200000... | 0.11666666666666667 * (Z(0) @ Z(4)) + 0.21666666666666665 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.31666666666666665 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(0)) + 0.2333333333333333 * (Z(8) @ Z(5)) + 0.15 * (Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.6499999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5999999999999996, "smallest_bitstrings": ["0001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5774) q[0];
ry(1.5966) q[1];
ry(0.8644) q[2];
ry(0.1799) q[3];
ry(1.605) q[4];
ry(0.1735) q[5];
ry(1.5624) q[6];
ry(1.567) q[7];
ry(1.5702) q[8];
ry(0.2082) q[9];
crz(-0.9089) q[9], q[0];
crz(0.0023) q[8], q[9];
crz(-0.0039) q[7], q[8];
crz(0.002) 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": []} |
20d26dc41a8e85134d92019f0849fe23 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [142, 138], "expectation_value": -32.074640387828005, "params": [[[0.6026, 0.006], [2.5009, 0.00030000000000000003], [0.6412, 0.007], [1.0765, 0.0005], [-0.0201, 0.004], [2.5067, 0.0044], [1.4836, 0.0028], [2.5008, 0.0083], [-0.0026000000000000003, 0.0024000000000000002]]], "bitstrings": ["101110001", "10111... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + -0.5 * Z(2) + 2.0 * Z(1) + -0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-48.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.0, "smallest_bitstrings": ["101110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6026) q[0];
rz(0.006) q[0];
rx(2.5009) q[1];
rz(0.0003) q[1];
rx(0.6412) q[2];
rz(0.007) q[2];
rx(1.0765) q[3];
rz(0.0005) q[3];
rx(-0.0201) q[4];
rz(0.004) q[4];
rx(2.5067) q[5];
rz(0.0044) q[5];
rx(1.4836) q[6];
rz(0.0028) q[6];
rx(2.5008) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
4320419010919023700 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 7], [9, 10, 5], [3, 4, 6, 7], [9, 3, 4, 1], [8, 4, 7], [2, 6, 8, 9, 10], [8, 2, 3, 5], [0, 3, 6], [0, 9, 10], [1, 2, 3, 6, 7], [0, 1, 2, 3, 7], [1, 10], [9, 3, 1, 6], [8, 2, 5, 6], [10, 3, 4], [8, 1, 3, 4], [0, 8, 9], [10, 5, 7], [0, 3, 4, 7], [9, 2... | {"states": [1661, 1725], "expectation_value": -5.500849444107978, "params": [1.9436, 1.2211, 1.1072, 1.1776, -0.007200000000000001, -0.0022, 0.5878, 1.155, 1.9799, 1.1831, 1.56, 1.6391, 1.5816000000000001, 1.5073, 1.5141, 1.6032000000000002, 1.3145, 1.8105, 1.5278, 1.5395, 1.5562, 1.5365, 0.5551, 1.4285, 0.5154, 0.2169... | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.35 * (Z(8) @ Z(3)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.41666666666666663 * (Z(8) @ Z(5)) + 0.3833333333333333 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.266666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.983333333333331, "smallest_bitstrings": ["00101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.9436) q[0];
ry(1.1072) q[1];
ry(-0.0072) q[2];
ry(0.5878) q[3];
ry(1.9799) q[4];
ry(1.56) q[5];
ry(1.5816) q[6];
ry(1.5141) q[7];
ry(1.3145) q[8];
ry(1.5278) q[9];
ry(1.5562) q[10];
crx(0.5551) q[10], q[0];
crx(0.4731) q[9], q[10];
crx(1.0711) q[8], 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[... | null | {"circuits": [], "gradients": []} |
eaddd19092fd8834c53bcb542c5e4759 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2033, 2047], "expectation_value": -25.397294624238896, "params": [[[-0.0026000000000000003, 1.6979000000000002], [0.0033, -0.0028], [0.0017000000000000001, 0.0023], [0.0021000000000000003, 0.0019], [-0.0021000000000000003, 0.0019], [-0.0023, -0.0022], [-0.002, -0.0032], [-0.0029000000000000002, 1.4791], [-0... | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -2.0 * (Z(3) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0026) q[0];
ry(0.0033) q[1];
ry(0.0017) q[2];
ry(0.0021) q[3];
ry(-0.0021) q[4];
ry(-0.0023) q[5];
ry(-0.002) q[6];
ry(-0.0029) q[7];
ry(-0.0028) q[8];
ry(-0.0027) q[9];
ry(-0.0026) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 8} | {"circuits": [], "gradients": []} |
a38675d53d722227ef740a74a5426a27 | 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": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [166, 174], "expectation_value": -1.916121749034628, "params": [0.0666, 0.005, 2.0987, 0.0039000000000000003, -0.0023, 0.0058000000000000005, 2.1029, 0.0099, 1.0935000000000001, 0.0094, 1.6342, 0.0056, 2.0991, 0.001, 2.1083000000000003, 0.0073, 1.0856000000000001, 0.009600000000000001, 0.0074, 0.002400000000... | 0.5 * (Z(0) @ Z(1)) + 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)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(6) @ Z(2)) + ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["111010000", "101010001", "101001001", "101100001", "101011000", "101001010", "011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0666) q[0];
rz(0.005) q[0];
rx(2.0987) q[1];
rz(0.0039) q[1];
rx(-0.0023) q[2];
rz(0.0058) q[2];
rx(2.1029) q[3];
rz(0.0099) q[3];
rx(1.0935) q[4];
rz(0.0094) q[4];
rx(1.6342) q[5];
rz(0.0056) q[5];
rx(2.0991) q[6];
rz(0.001) q[6];
rx(2.1083) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [44, 112], "expectation_value": -0.5998049458586734, "params": [[0.065, 0.0639], [-0.0553, -0.0511]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.010054245143567203, 0.01005735234453491], "optimization_time": 3.372709035873413} | 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 | 2 | {"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];
cx q[4], q[0];
rz(0.065) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.065) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.065) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.065) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
06ec716f7c6c63b1aba8eac15fa44d26 | 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": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 62.47525668144226} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5706) q[1], q[5];
cry(1.5693) q[4], q[2];
ry(1.1546) q[4];
ry(0.5862) q[2];
ry(0.8993) q[1];
ry(0.5002) q[5];
cry(0.3333) q[2], q[4];
cry(0.5525) q[5], q[1];
cry(1.3684) q[4], q[3];
cry(1.2566) q[5]... | 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(1.5706) q[1], 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]... |
410a620476bb1ab89428221268021245 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 23.157307863235474} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
ry(-1.5681) q[5];
cry(-1.0343) q[0], q[4];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(0.7003) q[0];
ry(-0.4549) q[2];
ry(-0.4549) q[4];
cry(0.4578) q[3], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 37], "expectation_value": -3.4965156417764884, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 22, "probabilities": [0.06700895329534473, 0.9297461640990027], "optimization_time": 15.27068018913269} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[2];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.497) q[0], q[3];
cry(-0.3761) q[0], q[4];
cry(0.2474) q[5], q[3];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... |
b10e647670f759bc4f3dd1387515cbab | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.39417964206120915, "params": [[-0.028800000000000003, -0.0207, -0.0534, -0.055900000000000005], [0.0297, -0.0106, 0.0475, 0.0585]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.02043856782366123, 0.020438567823661238], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0288) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0288) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0288) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0288) q[5];
cx q[2], q[5];
cx q[5], q[1];
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": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [101, 109], "expectation_value": -9.835898762193327, "params": [-0.003, 0.0132, 0.0086, -0.2767, 0.7176, 0.23040000000000002, 0.8428, 0.1033, -0.5381, 0.5009, -0.5263, 0.1656, -0.003, -0.3952, -0.0012000000000000001, -0.3472, -0.2414, -1.2256, 0.2871, -0.4184, 0.4036, 0.3608, 1.0078, 0.12440000000000001, 0.0... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 5 | 8 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.003) q[0];
rz(0.0132) q[0];
rx(0.7176) q[1];
rz(0.2304) q[1];
rx(-0.5381) q[2];
rz(0.5009) q[2];
rx(-0.003) q[3];
rz(-0.3952) q[3];
rx(-0.2414) q[4];
rz(-1.2256) q[4];
rx(0.4036) q[5];
rz(0.3608) q[5];
rx(0.0054) q[6];
rz(-0.6641) q[6];
rx(0.4478) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-4817597192022497213 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5, 6], [8, 2, 7], [2, 3, 4, 6], [0, 1, 2, 5, 8], [8, 1, 3, 5], [1, 4, 7], [1, 2, 5, 6, 8], [0, 6, 7], [8, 0, 6]]} | {"states": [379, 63], "expectation_value": -1.2547095751627362, "params": [[0.3791], [-0.3763]], "bitstrings": ["010000100", "111000000"], "total_optimization_steps": 40, "probabilities": [0.006389818961977616, 0.006427960027432687], "optimization_time": 3.883086919784546} | 0.13333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1500000000000004, "smallest_bitstrings": ["111000000"]} | 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[1];
rz(0.1011) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.1011) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.1643) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.1011) q[5];
cx q[3], 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | 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": -3.625188695869988, "params": [-0.0039000000000000003, 1.1572, 0.06960000000000001, 0.0032, -0.004, 1.032, -0.0004, 1.0097, -0.0181, 0.6998000000000001, 0.0267, 0.262, 0.7404000000000001, 1.2672, -0.6942, 0.8677, 0.7329, 0.7581, -0.7060000000000001, 1.2075, 0.0151, 0.0378, 0.0225... | -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) | 6 | 5 | 2 | {"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;
rx(-0.0039) q[0];
rz(1.1572) q[0];
rx(-0.004) q[1];
rz(1.032) q[1];
rx(-0.0181) q[2];
rz(0.6998) q[2];
rx(0.7404) q[3];
rz(1.2672) q[3];
rx(0.7329) q[4];
rz(0.7581) q[4];
crx(1.3133) q[4], q[3];
crx(0.0132) q[4], q[2];
crx(-0.0034) q[4], q[1];
crx(0.0563) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 79.70237302780151} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[2];
ry(0.7848) q[5];
cry(-1.5708) q[4], q[1];
ry(0.8233) q[4];
ry(-0.4144) q[0];
ry(-0.3107) q[1];
cry(0.4137) q[5], q[3];
ry(-0.2673) q[2];
cry(0.35... | null | {"k": 3} | {"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(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
31686512d5b88850a9ac5a50b46aa096 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [237, 107], "expectation_value": -29.01556465412668, "params": null, "bitstrings": ["00010010", "10010100"], "total_optimization_steps": 100, "probabilities": [0.08885859234834492, 0.14533982299955506], "optimization_time": 124.16833639144897} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 12.0 * Z(1) + 1.0 * Z(0) + 11.5 * Z(2) + -3.5 * Z(3) + 5.5 * Z(4) + 10.0 * Z(5) + 13.5 * Z(6) + 11.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(62.9199) q[6];
ry(-1.7434) q[1];
ry(33.1677) q[2];
ry(17.3939) q[5];
ry(-17.238) q[7];
cry(2.9399) q[7], q[6];
cry(0.8685) q[2], q[6];
cry(-0.9755) q[4], q[3];
cry(-2.9115) q[4], q[6];
cry(1.27... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(62.9199) q[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... |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765844, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 280.83036494255066} | 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 | 12 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | 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];
ry(1.5706) q[11];
ry(1.5706) q[7];
ry(1.5681) q[3];
ry(1.5681) q[0];
cry(1.4449) q[3], q[10];
cry(1.4449) q[3], q[8];
cry(-1.0315) q[4], q[5];
cry(-1.0315) q[1]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\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];... |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"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": [0, 1], "expectation_value": -38.36314741070186, "params": [[[0.0026000000000000003, -0.3543], [0.0009000000000000001, -0.379], [-0.0001, -0.3809], [0.0025, 0.3647], [0.0038, -0.37820000000000004], [0.6096, 0.0016]], [[-0.0043, -0.3672], [-0.0028, -0.38170000000000004], [-0.0018000000000000002, -0.4024000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 3 | {"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;
rx(0.0026) q[0];
rz(-0.3543) q[0];
rx(0.0009) q[1];
rz(-0.379) q[1];
rx(-0.0001) q[2];
rz(-0.3809) q[2];
rx(0.0025) q[3];
rz(0.3647) q[3];
rx(0.0038) q[4];
rz(-0.3782) q[4];
rx(0.6096) q[5];
rz(0.0016) q[5];
rx(-0.0043) q[0];
rz(-0.3672) q[0];
rx(-0.0028) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -25.638794991048076, "params": [[-0.0453, -0.0017000000000000001, 0.0161, 0.0034000000000000002], [0.0799, 0.0641, 0.054400000000000004, 0.0557]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.018822853376918212, 0.025131312172505... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"]} | 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(-0.3624) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3624) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3624) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3624) q[3];
cx q[0], 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.21129242015818567, "params": [[0.0694, -0.06430000000000001], [-0.0809, 0.0268]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009598075546755024, 0.009768659616494053], "optimization_time": 3.1958632469177246} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0347) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0694) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0694) q[1];
cx q[6], q[1];
cx q[3], q[2];
rz(-0.0347) q[2];
cx q[3], q[2];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.920159676925354, "params": [[[-0.0037, 0.3236], [-0.0001, 0.3753], [-0.0032, 0.38520000000000004], [0.4949, 0.0005], [0.0009000000000000001, 0.3002], [0.5071, -0.0016]], [[0.0031000000000000003, 0.3589], [-0.006500000000000001, 0.3816], [-0.0002, 0.3875], [0.4887, 0.0005], [-0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0037) q[0];
rz(0.3236) q[0];
rx(-0.0001) q[1];
rz(0.3753) q[1];
rx(-0.0032) q[2];
rz(0.3852) q[2];
rx(0.4949) q[3];
rz(0.0005) q[3];
rx(0.0009) q[4];
rz(0.3002) q[4];
rx(0.5071) q[5];
rz(-0.0016) q[5];
rx(0.0031) q[0];
rz(0.3589) q[0];
rx(-0.0065) 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": 5} | {"circuits": [], "gradients": []} |
23c6590e387f05fe94993d0724eddf92 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -19.72479017347456, "params": [[0.021500000000000002, 0.007200000000000001, -0.0058000000000000005], [-0.042800000000000005, -0.0465, -0.0431]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0047668528693810735, 0.00639527095601... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1935) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1935) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.1935) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.1935) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-7875035683127589433 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 7], [8, 3, 5], [8, 1], [1, 5], [4, 6]]} | {"states": [271, 283], "expectation_value": -0.3425193555405661, "params": [[-0.231], [0.22790000000000002]], "bitstrings": ["011110000", "011100100"], "total_optimization_steps": 30, "probabilities": [0.0035986536049281773, 0.0035986536049281773], "optimization_time": 5.537597417831421} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["110110000", "110100100", "010110010", "011100100", "010100110", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0385) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0385) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0385) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(-0.0385) q[7];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 21], "expectation_value": -0.287516965767661, "params": [[-0.0584, -0.0563, -0.033, -0.0521], [0.0655, 0.07400000000000001, 0.0592, 0.062200000000000005]], "bitstrings": ["011100", "101010"], "total_optimization_steps": 10, "probabilities": [0.02426898182752786, 0.02426898182752788], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0584) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.0584) q[3];
cx q[4], q[3];
cx q[2], q[0];
rz(-0.0146) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0146) q[3];
cx q[0], q[3];
cx q[5], q[0];
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": []} |
7efca02d91f49e4bd32e9ceac2c5c6eb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [65, 97], "expectation_value": -2.026842435917317, "params": [0.5012, -0.0008, 0.46950000000000003, 0.0002, 0.030100000000000002, -0.253, 0.0036000000000000003, -0.2859, 0.2492, -0.1907, 0.0502, 0.3617, 0.5271, 0.20040000000000002, 0.5014000000000001, -0.0004, 0.4748, 0.0008, 0.029400000000000003, -0.255, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111010", "1100101", "1001110", "1000111", "1110001", "0111001", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5012) q[0];
rz(-0.0008) q[0];
rx(0.4695) q[1];
rz(0.0002) q[1];
rx(0.0301) q[2];
rz(-0.253) q[2];
rx(0.0036) q[3];
rz(-0.2859) q[3];
rx(0.2492) q[4];
rz(-0.1907) q[4];
rx(0.0502) q[5];
rz(0.3617) q[5];
rx(0.5271) q[6];
rz(0.2004) q[6];
crz(0.3992) 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": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.