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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dac6cb03ea42611247637fffb99ef36a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -9.788427282854894, "params": [-0.0063, 0.0577, -0.0001, 0.10160000000000001, 0.0004, 0.1375, 0.0025, 0.1559, 0.1976, 0.00030000000000000003, 0.20140000000000002, 0.0025, 0.0016, 0.1652, 0.0033, 0.1555, 0.007, 0.0621, 0.0054, 0.0792, 0.0061, 0.1263, 0.0004, 0.1602, 0.0019, 0.15... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -0.5 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(... | 7 | 11 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0063) q[0];
rz(0.0577) q[0];
rx(0.0004) q[1];
rz(0.1375) q[1];
rx(0.1976) q[2];
rz(0.0003) q[2];
rx(0.0016) q[3];
rz(0.1652) q[3];
rx(0.007) q[4];
rz(0.0621) q[4];
rx(0.0061) q[5];
rz(0.1263) q[5];
rx(0.0019) q[6];
rz(0.1587) q[6];
rx(0.0018) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 48.521568775177} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[6];
cry(1.5681) q[6], q[5];
cry(1.5626) q[1], q[4];
cry(-1.5486) q[5], q[3];
cry(1.5486) q[6], q[7];
cry(-1.5681) q[7], q[0];
ry(-0.6145) q[4];
cry(-0.6644) q[6], q[1];
cry(-0.8986) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [255, 125], "expectation_value": -6.011553168746372, "params": [[[0.0024000000000000002, -3.1474], [0.0021000000000000003, 0.0023], [0.0021000000000000003, 0.0021000000000000003], [0.0022, 0.0022], [0.0023, 0.0023], [0.0027, 0.0021000000000000003], [0.0022, -0.030000000000000002], [-1.594, 0.002]]], "bitstri... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 15 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0024) q[0];
ry(0.0021) q[1];
ry(0.0021) q[2];
ry(0.0022) q[3];
ry(0.0023) q[4];
ry(0.0027) q[5];
ry(0.0022) q[6];
ry(-1.594) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f222dfb2324275edf5e9240be57dcb14 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [112, 116], "expectation_value": -3.080993922328541, "params": [[[1.6117000000000001, 0.0097], [1.6128, 0.0078000000000000005], [1.6144, 0.007500000000000001], [0.001, 0.0027], [1.6064, 0.0043], [-0.0029000000000000002, 0.004], [-0.0032, 0.0098]]], "bitstrings": ["0001111", "0001011"], "total_optimization_st... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6117) q[0];
rz(0.0097) q[0];
rx(1.6128) q[1];
rz(0.0078) q[1];
rx(1.6144) q[2];
rz(0.0075) q[2];
rx(0.001) q[3];
rz(0.0027) q[3];
rx(1.6064) q[4];
rz(0.0043) q[4];
rx(-0.0029) q[5];
rz(0.004) q[5];
rx(-0.0032) q[6];
rz(0.0098) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -4.718671019056616, "params": [[0.0461, 0.032, 0.039], [-0.044700000000000004, -0.0304, -0.0344]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013840014174859958, 0.014710208190413224], "optimization_time": 7.106851816177368} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2075) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2075) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2075) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2075) 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] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
2265773524875199093 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6], [0, 3, 5, 7], [3, 4, 6], [2, 3, 5], [0, 2, 4, 6, 7], [1, 2, 5, 6, 7], [0, 5, 6], [0, 1, 3, 4, 7], [1, 2, 4, 5, 6]]} | {"states": [187, 179], "expectation_value": -1.3852729571783529, "params": [[[2.6281000000000003, 0.002], [1.5313, 0.0008], [2.6427, 0.005200000000000001], [2.6362, 0.0047], [1.5464, 0.0], [1.5256, 0.008], [2.6364, 0.0076], [1.6464, 0.006]]], "bitstrings": ["01000100", "01001100"], "total_optimization_steps": 270, "pro... | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(0)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.05, "smallest_bitstrings": ["01001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.6281) q[0];
rz(0.002) q[0];
rx(1.5313) q[1];
rz(0.0008) q[1];
rx(2.6427) q[2];
rz(0.0052) q[2];
rx(2.6362) q[3];
rz(0.0047) q[3];
rx(1.5464) q[4];
rz(0) q[4];
rx(1.5256) q[5];
rz(0.008) q[5];
rx(2.6364) q[6];
rz(0.0076) q[6];
rx(1.6464) q[7];
rz(0.006) 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] ... | null | {"circuits": [], "gradients": []} |
5638c5dfe00c820280d20163a3e58648 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"s... | {"states": [8191, 7679], "expectation_value": -25.97487372827628, "params": [[[-0.8703000000000001, 2.291], [-0.0032, 0.8287], [-0.0028, -0.0025], [1.6705, -0.002], [-0.0016, 0.0022], [-0.0027, -0.0028], [-0.0028, -0.0027], [-0.0026000000000000003, -0.0028], [0.0021000000000000003, 0.0026000000000000003], [-0.002100000... | -2.5 * (Z(0) @ Z(5)) + -2.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(10)) + 1.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0001000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.8703) q[0];
ry(-0.0032) q[1];
ry(-0.0028) q[2];
ry(1.6705) q[3];
ry(-0.0016) q[4];
ry(-0.0027) q[5];
ry(-0.0028) q[6];
ry(-0.0026) q[7];
ry(0.0021) q[8];
ry(-0.0021) q[9];
ry(0.002) q[10];
ry(0.0026) q[11];
ry(0.0022) q[12];
cx q[12], q[0];
cx q[11], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 13} | {"circuits": [], "gradients": []} |
-7166113496899819848 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5], [3, 5, 6], [0, 6], [2, 3, 6], [0, 2, 5], [2, 3, 4]]} | {"states": [120, 55], "expectation_value": -0.06590424415511796, "params": [[-0.0813], [0.07390000000000001]], "bitstrings": ["0000111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.008414050430055973, 0.00847879953507347], "optimization_time": 0.6245253086090088} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(-0.0271) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(-0.0542) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-0.0271) q[5];
cx q[1], q[5];
cx q[3], q[6];
rz(-0.0542) q[6];
cx q[3], q[6];
cx q[5], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
9654c545357abbe9e95dba48af827af6 | 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}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -25.93974308033021, "params": [[0.0275, 0.006200000000000001, -0.0045000000000000005], [-0.0757, -0.0784, -0.0727]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015557808984097038, 0.01718774563151075], "optimization_time": 8.57... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.22) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.22) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.22) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(0.22) q[5];
cx q[2], q[5];
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] 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": []} |
8ebf44311adc4280f0f060c04fb1ed3c | 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": [599, 535], "expectation_value": -60.613685500432965, "params": [-0.0035, 0.44270000000000004, 0.7003, 0.0028, -0.0048000000000000004, 0.43920000000000003, 0.0892, -0.2929, 0.4787, 0.0477, 0.0026000000000000003, 0.3927, 0.7006, 0.1426, 0.4606, 0.33130000000000004, 0.7021000000000001, 0.0362, 0.69980000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(3) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + -7.0 * Z(2) + 17.5 * Z(1) + 2.0 * Z(4) + 7.0 * Z(6) + -5.0 * Z(5) + 1.5 * Z(7) + 7.5 * Z(9) + 9.5 * Z(8) + -3.0 * Z(3) +... | 16 | 11 | 3 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["10111101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0035) q[0];
rz(0.4427) q[0];
rx(0.7003) q[1];
rz(0.0028) q[1];
rx(-0.0048) q[2];
rz(0.4392) q[2];
rx(0.0892) q[3];
rz(-0.2929) q[3];
rx(0.4787) q[4];
rz(0.0477) q[4];
rx(0.0026) q[5];
rz(0.3927) q[5];
rx(0.7006) q[6];
rz(0.1426) q[6];
rx(0.4606) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -9.42137450279461, "params": [[0.1723], [-0.1733]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 20, "probabilities": [0.00015377453921808985, 0.0001537748172261564], "optimization_time": 16.37086057662964} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 1 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1723) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1723) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1723) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
3c9c101d3ca31818a58dc6d661f912ad | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -14.764828504356974, "params": [0.0002, -0.20950000000000002, 0.0051, -0.198, -0.0023, -0.22890000000000002, -0.0061, -0.22260000000000002, -0.0048000000000000004, -0.21300000000000002, -0.00030000000000000003, -0.21100000000000002, -0.0002, -0.1908, -0.0034000000000000002, -0.21... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0002) q[0];
rz(-0.2095) q[0];
rx(-0.0023) q[1];
rz(-0.2289) q[1];
rx(-0.0048) q[2];
rz(-0.213) q[2];
rx(-0.0002) q[3];
rz(-0.1908) q[3];
rx(-0.0026) q[4];
rz(-0.2217) q[4];
rx(-0.0022) q[5];
rz(-0.2298) q[5];
rx(-0.0043) q[6];
rz(-0.2108) q[6];
rx(-0.00... | 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": []} |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -21.124787350232697, "params": [[0.0167, 0.0152, 0.00030000000000000003], [-0.0419, -0.068, -0.06770000000000001]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011123487272944772, 0.014142605765321422], "optimization_time": 7.13... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1169) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1169) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1169) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1169) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
264fb18a8257049cb1d4e81c11f3c8ea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1619, 1107], "expectation_value": -122.92373133202233, "params": [0.25720000000000004, 0.0004, 0.9005000000000001, -0.060500000000000005, 0.47540000000000004, -0.1383, 0.0006000000000000001, 0.5442, 0.2121, 0.0008, 0.9042, -0.0028, 0.5163, -0.2707, 0.8987, 0.0162, -0.0049, 0.21880000000000002, 0.2735, 0.330... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 6.0 * Z(1) + -6.0 * Z(0) + 10.0 * Z(2) + 16.0 * Z(5) + -7.0 * Z(4) + 6.0... | 4 | 12 | 3 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101110101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2572) q[0];
rz(0.0004) q[0];
rx(0.9005) q[1];
rz(-0.0605) q[1];
rx(0.4754) q[2];
rz(-0.1383) q[2];
rx(0.0006) q[3];
rz(0.5442) q[3];
rx(0.2121) q[4];
rz(0.0008) q[4];
rx(0.9042) q[5];
rz(-0.0028) q[5];
rx(0.5163) q[6];
rz(-0.2707) q[6];
rx(0.8987) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 22.414439916610718} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
cry(-1.5681) q[5], q[0];
ry(1.1029) q[5];
ry(-0.5495) q[0];
cry(1.5626) q[4], q[3];
cry(1.2298) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(0.3619) q[2], q[5];
ry(-0.4373) q[2];
cry(0.4548) q[4], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3655742359507773310 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [3, 6], [0, 1], [2, 4, 6], [1, 4], [0, 5], [0, 2], [4, 7], [1, 6], [4, 5, 6], [0, 6], [1, 3], [0, 7], [2, 5]]} | {"states": [184, 103], "expectation_value": -0.1594768942309617, "params": [[-0.0819], [0.0748]], "bitstrings": ["01000111", "10011000"], "total_optimization_steps": 10, "probabilities": [0.004771483945038729, 0.004798510309672224], "optimization_time": 2.185417890548706} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333336, "smallest_bitstrings": ["10011000"]} | 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[3];
rz(-0.0819) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(-0.0273) q[6];
cx q[5], q[6];
cx q[3], q[6];
rz(-0.0819) q[6];
cx q[3], q[6];
cx q[5], q[0];
rz(-0.0819) q[0];
cx q[5], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
-2366032373491310907 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [110, 238], "expectation_value": -1.9064159834684373, "params": [[[1.598, -0.7695000000000001, 0.0095, 0.006900000000000001], [0.16790000000000002, -0.7696000000000001, 0.0322, 0.0041], [1.5799, -0.0036000000000000003, 1.578, 0.0036000000000000003], [1.5964, 0.0027, 1.4698, 0.0008], [1.5789, 0.0038, 1.5823, ... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 11 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.598) q[0];
rz(-0.7695) q[0];
ry(0.1679) q[1];
rz(-0.7696) q[1];
ry(1.5799) q[2];
rz(-0.0036) q[2];
ry(1.5964) q[3];
rz(0.0027) q[3];
ry(1.5789) q[4];
rz(0.0038) q[4];
ry(0.4849) q[5];
rz(0.7414) q[5];
ry(1.5836) q[6];
rz(-0.0021) q[6];
ry(0.2536) 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": []} |
4abb98976c4c92afe6a55c768cbc5f3f | 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": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 995], "expectation_value": -9.170270520846024, "params": [-0.09580000000000001, 0.43910000000000005, 0.6841, 0.0004, 0.6345000000000001, 1.6916, 0.8141, 0.0007, -0.9425, 1.681, 0.166, 0.0059, -0.9321, 1.2769000000000001, 0.19410000000000002, 0.0002, 0.8764000000000001, -1.8028000000000002, 0.0587, 0.0063... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000011100", "0000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0958) q[0];
rz(0.4391) q[0];
rx(0.6345) q[1];
rz(1.6916) q[1];
rx(-0.9425) q[2];
rz(1.681) q[2];
rx(-0.9321) q[3];
rz(1.2769) q[3];
rx(0.8764) q[4];
rz(-1.8028) q[4];
rx(0.0035) q[5];
rz(0.9904) q[5];
rx(0.0023) q[6];
rz(1.2585) q[6];
rx(-1.1479) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
5f59fc9d0aa0f9e4890b3d6228f2f57a | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -0.5927899330009975, "params": [[-0.066], [0.0723]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002810787245789663, 0.002836076911248869], "optimization_time": 2.7677724361419678} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000", "111111110", "100100000"]} | 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(0.033) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.033) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.132) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.066) 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[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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c27e04a1b516da945dec2e0c25bb156f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 99.48320245742798} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | 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(-1.5708) q[8], q[0];
ry(1.0958) q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[2];
ry(-1.4894) q[4];
ry(-1.4915) q[5];
ry(-1.5709) q[3];
ry(-0.581) q[0];
cry(0.3802) q[1], q[8... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
6055612259411765433 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 5], [0, 2, 3, 6], [0, 1, 3, 5], [1, 2], [5, 6], [0, 2, 4], [0, 1, 3, 6]]} | {"states": [98, 29], "expectation_value": -0.018100875562059925, "params": [[-0.0374], [0.0362]], "bitstrings": ["0011101", "1100010"], "total_optimization_steps": 10, "probabilities": [0.008003657419966267, 0.008018286274879782], "optimization_time": 2.491976022720337} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["1100010"]} | 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[1];
rz(-0.0374) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0125) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.0374) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(-0.0062) q[5];
cx q[1], q[5];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
1969146899557880099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 3], [5, 6], [3, 5], [2, 3], [2, 4], [4, 6], [0, 1], [0, 2], [3, 6], [0, 5], [5, 7]]} | {"states": [102, 153], "expectation_value": -0.10613353930163111, "params": [[-0.0635], [0.0713]], "bitstrings": ["10011001", "01100110"], "total_optimization_steps": 10, "probabilities": [0.004489803067563011, 0.004489803067563011], "optimization_time": 1.9499056339263916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100110", "10011001"]} | 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(-0.0635) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0635) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0635) q[1];
cx q[0], q[1];
cx q[3], q[5];
rz(-0.0635) q[5];
cx q[3], q[5];
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[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 q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[3]... | null | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [63, 25], "expectation_value": -0.07631555337231803, "params": [[0.006500000000000001, 0.0545], [0.0111, -0.0373]], "bitstrings": ["11000000", "11100110"], "total_optimization_steps": 10, "probabilities": [0.004238511594864054, 0.004239562824510044], "optimization_time": 2.8482909202575684} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100010", "11100000", "11100110"]} | 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(-0.0065) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0033) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(0.013) q[7];
cx q[0], q[7];
cx q[2], q[3];
rz(-0.0065) q[3];
cx q[2], q[3];
cx q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
533fcd480a5175680493f52fe07173d6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -4.403033580298919, "params": [[0.07100000000000001, 0.0533, 0.07050000000000001, 0.0609], [-0.07970000000000001, -0.0371, -0.059500000000000004, -0.057800000000000004]], "bitstrings": ["11111110", "11011010"], "total_optimization_steps": 10, "probabilities": [0.0185042892578026... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | 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(-0.1775) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0355) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0355) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.071) q[6];
cx q[0], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [191, 190], "expectation_value": -1.283622158061904, "params": [0.4959, 0.0057, 2.0995, 0.0014, 0.4923, 0.0036000000000000003, 2.1074, 0.0077, 2.1087000000000002, 0.009000000000000001, 2.0936, 0.0055000000000000005, 2.1064000000000003, 0.009600000000000001, 2.1015, 0.0024000000000000002, 1.4793, 0.0002, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4959) q[0];
rz(0.0057) q[0];
rx(2.0995) q[1];
rz(0.0014) q[1];
rx(0.4923) q[2];
rz(0.0036) q[2];
rx(2.1074) q[3];
rz(0.0077) q[3];
rx(2.1087) q[4];
rz(0.009) q[4];
rx(2.0936) q[5];
rz(0.0055) q[5];
rx(2.1064) q[6];
rz(0.0096) q[6];
rx(2.1015) 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": []} |
4f38ff28344ad48850dffdcb4e9b2399 | 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}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 8}, {"weight"... | {"states": [994, 482], "expectation_value": -78.65212246022065, "params": [0.3118, -0.2044, 0.6925, 0.026500000000000003, 0.5680000000000001, 0.0187, 0.6587000000000001, 0.0094, 0.6946, -0.0037, 0.23220000000000002, -0.2732, -0.0024000000000000002, 0.5015000000000001, 0.2672, -0.24600000000000002, 0.6918000000000001, -... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 18.5 * Z(2) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1000011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3118) q[0];
rz(-0.2044) q[0];
rx(0.6925) q[1];
rz(0.0265) q[1];
rx(0.568) q[2];
rz(0.0187) q[2];
rx(0.6587) q[3];
rz(0.0094) q[3];
rx(0.6946) q[4];
rz(-0.0037) q[4];
rx(0.2322) q[5];
rz(-0.2732) q[5];
rx(-0.0024) q[6];
rz(0.5015) q[6];
rx(0.2672) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
602e7e43551da616abe4c4df4831fe40 | 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}], "edges": [{"... | {"states": [111, 109], "expectation_value": -66.58882074916777, "params": [0.5799000000000001, 0.5149, 1.582, 0.007500000000000001, 1.5814000000000001, 0.34940000000000004, 0.19190000000000002, 0.7375, 1.5841, 0.006, 1.5859, -0.1558, 0.7834, -0.37670000000000003, 1.5847, 0.1222, 0.5792, 0.0073, 1.5735000000000001, 0.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z... | 18 | 8 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5799) q[0];
rz(0.5149) q[0];
rx(1.582) q[1];
rz(0.0075) q[1];
rx(1.5814) q[2];
rz(0.3494) q[2];
rx(0.1919) q[3];
rz(0.7375) q[3];
rx(1.5841) q[4];
rz(0.006) q[4];
rx(1.5859) q[5];
rz(-0.1558) q[5];
rx(0.7834) q[6];
rz(-0.3767) q[6];
rx(1.5847) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
6188528287626050567 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [2, 3, 4], [1, 3], [1, 2]]} | {"states": [23, 22], "expectation_value": -1.1511392724903842, "params": [[[2.3443, 0.0032], [0.47040000000000004, 0.0022], [2.7005000000000003, 0.009000000000000001], [2.7006, 0.0061], [1.494, 0.001]]], "bitstrings": ["01000", "01001"], "total_optimization_steps": 270, "probabilities": [0.33616922525796533, 0.39201287... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.33333333333333326 * Z(3) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(4) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(2.3443) q[0];
rz(0.0032) q[0];
rx(0.4704) q[1];
rz(0.0022) q[1];
rx(2.7005) q[2];
rz(0.009) q[2];
rx(2.7006) q[3];
rz(0.0061) q[3];
rx(1.494) q[4];
rz(0.001) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = me... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 19.896748542785645} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.7247) q[3];
ry(-0.3569) q[2];
ry(-0.3098) q[1];
cry(0.3727) q[3], q[4];
cry(-0.2255) q[3], q[2];
cry(0.334) q[4], q[3];
cry(-0.227... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
9e72aed817e662969111170f29d9c9a1 | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": ... | {"states": [967, 1023], "expectation_value": -0.7797266712843512, "params": [[0.0743], [-0.0627]], "bitstrings": ["0000111000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001528453294547895, 0.0015552055196192977], "optimization_time": 0.6086509227752686} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + 1.0 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"]} | 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(-0.1486) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1486) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.2229) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.2972) q[6];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
... | {"node": 6} | {"circuits": [], "gradients": []} |
-1282066142231041521 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 4, 8, 9, 11], [3, 6], [0, 1, 3, 4, 11], [0, 1, 6, 8, 9, 11], [0, 2], [0, 6, 9, 11, 12], [1, 2, 3, 4, 8], [4, 12, 6], [2, 3, 4, 5, 7, 12], [0, 3, 7, 10, 12], [0, 3, 5, 8, 12], [10, 9, 2, 3], [1, 10, 3, 5], [0, 4, 6], [1, 10, 4, 5], [1, 11, 12, 9... | {"states": [7097, 6973], "expectation_value": -3.023730651984395, "params": [[0.22690000000000002], [-0.2331]], "bitstrings": ["0010001000110", "0010011000010"], "total_optimization_steps": 30, "probabilities": [0.0005060948119224804, 0.0005205783543892481], "optimization_time": 52.54063367843628} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666669 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(8) @ Z(2)) + 0.11666666666666667 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(9) @ Z(2)) + 0.18333333333333332 * (Z(9) @ Z(1)) + 0.2 * (Z(9) @ Z(4)) + 0.2833333... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.233333333333334, "smallest_bitstrings": ["0010011000010"]} | 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[2], q[1];
rz(0.1135) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0756) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.1891) q[4];
cx q[1], q[4];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [10, 5], "expectation_value": -1.0025399624911608, "params": [[-0.049300000000000004, -0.0499, -0.0494, 0.028300000000000002], [0.054400000000000004, 0.0651, 0.0688, 0.0286]], "bitstrings": ["10101", "11010"], "total_optimization_steps": 10, "probabilities": [0.04062507109754141, 0.048313649539512886], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0493) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0493) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0493) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0493) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0493) 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] ... | null | {"circuits": [], "gradients": []} |
7310288490871792600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 5, 7], [5, 6, 7], [8, 5], [1, 3, 4, 8, 9], [0, 9, 1], [0, 1, 5, 6], [9, 3, 1, 7], [1, 2, 4, 6, 8], [0, 1, 7], [9, 6, 7], [1, 4, 6, 7, 8], [8, 2, 3], [0, 2, 6], [1, 2, 9, 7], [0, 9, 5, 7], [1, 2, 4, 5, 6], [0, 4, 5]]} | {"states": [501, 505], "expectation_value": -3.8953129751571876, "params": [0.0026000000000000003, 0.0026000000000000003, 2.2952, 0.8505, 2.4624, 0.6854, 2.1057, 2.4114, 2.527, 0.5997, 1.6615, 1.4682000000000002, 0.9506, 0.6085, 2.1494, 0.8721, 1.5396, 1.6003, 1.5937000000000001, 1.5442, 0.0025, 2.9653, 0.9923000000000... | 0.23333333333333334 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.4333333333333333 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.3 * (Z(7... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.216666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.133333333333335, "smallest_bitstrings": ["1000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0026) q[0];
ry(2.2952) q[1];
ry(2.4624) q[2];
ry(2.1057) q[3];
ry(2.527) q[4];
ry(1.6615) q[5];
ry(0.9506) q[6];
ry(2.1494) q[7];
ry(1.5396) q[8];
ry(1.5937) q[9];
crx(0.0025) q[9], q[0];
crx(0.0251) q[8], q[9];
crx(-1.2867) q[7], q[8];
crx(-1.417) 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": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [637, 501], "expectation_value": -0.10087161569331124, "params": [[-0.0505, -0.0455], [0.0704, 0.0548]], "bitstrings": ["0110000010", "1000001010"], "total_optimization_steps": 10, "probabilities": [0.0012513677177851115, 0.001251367717785112], "optimization_time": 23.06316041946411} | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
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(-0.0505) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0063) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0063) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0063) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1764, 1765], "expectation_value": -18.322267179561972, "params": [-0.003, 0.6492, 0.0026000000000000003, 0.7489, 0.8339000000000001, 0.6645, 0.9817, 0.29600000000000004, 0.0061, 0.5815, 0.9924000000000001, -0.0002, 0.9976, -0.0031000000000000003, 0.9963000000000001, 0.006900000000000001, 0.00290000000000000... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 3 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.003) q[0];
rz(0.6492) q[0];
rx(0.0026) q[1];
rz(0.7489) q[1];
rx(0.8339) q[2];
rz(0.6645) q[2];
rx(0.9817) q[3];
rz(0.296) q[3];
rx(0.0061) q[4];
rz(0.5815) q[4];
rx(0.9924) q[5];
rz(-0.0002) q[5];
rx(0.9976) q[6];
rz(-0.0031) q[6];
rx(0.9963) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-7739192368442748783 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [2, 5, 7], [2, 3, 4, 6, 7], [8, 0, 3, 6], [2, 3, 5, 6, 8], [1, 2, 4, 7, 8], [8, 4, 5], [0, 1], [2, 3, 6, 7, 8], [1, 2, 3, 4, 6, 8], [2, 3, 4, 5, 6], [0, 5, 7]]} | {"states": [303, 175], "expectation_value": -3.041340251238334, "params": null, "bitstrings": ["011010000", "101010000"], "total_optimization_steps": 49, "probabilities": [0.043513254580781174, 0.8766203568743314], "optimization_time": 122.11522030830383} | 0.13333333333333333 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(6)) + 0.3 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.26666666666666666 * (Z(8) @ Z(6)) + 0.15000000... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.1500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1499999999999995, "smallest_bitstrings": ["101010000"]} | 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(1.5524) q[8];
ry(1.4977) q[7];
ry(1.1415) q[3];
cry(-1.0796) q[1], q[0];
ry(0.7522) q[1];
cry(-0.5056) q[7], q[0];
cry(0.5) q[8], q[1];
cry(-0.3476) q[8], q[0];
cry(0.8968) q[1], q[5];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5524) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
1c94d11683f581a2317745c654c36244 | 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}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 9}, {"weight": 11, "source": 0, "target": 7}, {"weight":... | {"states": [1000, 488], "expectation_value": -102.29269315401976, "params": [0.2753, 0.2215, 0.682, -0.030100000000000002, 0.6287, -0.0028, 0.6323000000000001, -0.0027, 0.6954, -0.0038, 0.37160000000000004, 0.194, 0.6967, 0.0046, 0.048, 0.2801, 0.0645, -0.3456, 0.0848, 0.29860000000000003, 0.2753, 0.22560000000000002, ... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2753) q[0];
rz(0.2215) q[0];
rx(0.682) q[1];
rz(-0.0301) q[1];
rx(0.6287) q[2];
rz(-0.0028) q[2];
rx(0.6323) q[3];
rz(-0.0027) q[3];
rx(0.6954) q[4];
rz(-0.0038) q[4];
rx(0.3716) q[5];
rz(0.194) q[5];
rx(0.6967) q[6];
rz(0.0046) q[6];
rx(0.048) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
dce06398b25f2ffe64febd8898180a55 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [63, 3903], "expectation_value": -0.8362793921114894, "params": [[-0.043500000000000004], [0.052700000000000004]], "bitstrings": ["111111000000", "000011000000"], "total_optimization_steps": 10, "probabilities": [0.0003399801401523761, 0.000351391217501875], "optimization_time": 1.0411288738250732} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(6)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.174) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.174) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1305) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 5} | {"circuits": [], "gradients": []} |
645c877d51dbe410a2500a8efdc21844 | 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}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 7}, {"weight":... | {"states": [504, 472], "expectation_value": -72.68715239394277, "params": [0.3981, -0.11230000000000001, 0.3922, -0.12430000000000001, 0.38870000000000005, -0.07050000000000001, 0.38580000000000003, -0.0606, 0.3766, 0.017, 0.37720000000000004, 0.0609, 0.38780000000000003, -0.0181, 0.32530000000000003, 0.0296, 0.3887000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(3)) + 12.5 * Z(1) + 8.5 * Z(0) + 11.5 * Z(2) + 12.0 * Z(3) + 1... | 6 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3981) q[0];
rz(-0.1123) q[0];
rx(0.3887) q[1];
rz(-0.0705) q[1];
rx(0.3766) q[2];
rz(0.017) q[2];
rx(0.3878) q[3];
rz(-0.0181) q[3];
rx(0.3887) q[4];
rz(0.0231) q[4];
rx(0.3831) q[5];
rz(-0.0312) q[5];
rx(0.3889) q[6];
rz(-0.0567) q[6];
rx(0.3945) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-6076511891567190251 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [0, 5], [2, 3], [2, 6], [1, 5], [1, 7], [0, 2], [1, 4]]} | {"states": [143, 31], "expectation_value": -2.6439561062030905, "params": null, "bitstrings": ["01110000", "11100000"], "total_optimization_steps": 68, "probabilities": [0.05781485310604991, 0.7154328849905741], "optimization_time": 94.42060899734497} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111101", "11000010", "00101101", "11010010", "00011111", "11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[7], q[1];
ry(0.7003) q[7];
cry(-0.7092) q[5], q[1];
cry(1.1516) q[7], q[5];
cry(1.2546) q[5], q[4];
cry(-0.4071) q[4], q[1];
cry(-1.181) q[3], q[0];
ry(1.03... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
-7469543453404346514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 7], [1, 3, 5], [2, 3], [4, 5], [1, 2, 5], [0, 1, 3], [0, 2], [0, 4], [3, 6, 7], [1, 2, 7], [0, 3, 6], [0, 5], [5, 6]]} | {"states": [213, 149], "expectation_value": -3.268727195274022, "params": [1.5915000000000001, -0.0173, 1.1693, 0.0016, 1.5933000000000002, -0.0551, 1.5932000000000002, 0.0021000000000000003, 0.41900000000000004, -0.0074, -0.0112, 0.0054, 1.5899, -0.012400000000000001, 1.3224, 0.0037, 0.5857, -0.0057, 0.054400000000000... | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["01101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5915) q[0];
rz(-0.0173) q[0];
rx(1.5933) q[1];
rz(-0.0551) q[1];
rx(0.419) q[2];
rz(-0.0074) q[2];
rx(1.5899) q[3];
rz(-0.0124) q[3];
rx(0.5857) q[4];
rz(-0.0057) q[4];
rx(1.5972) q[5];
rz(-0.0093) q[5];
rx(0.9453) q[6];
rz(-0.0109) q[6];
rx(1.5892) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
35eda900f849f65d0cff23e7af228cca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -12.967931463623252, "params": [-0.001, -0.19590000000000002, 0.0022, -0.2189, -0.0016, -0.22190000000000001, -0.00030000000000000003, -0.22760000000000002, -0.0044, -0.21450000000000002, -0.0015, -0.21710000000000002, -0.0038, -0.2142, -0.0, -0.2209, -0.0032, -0.2156, -0.0026000... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.001) q[0];
rz(-0.1959) q[0];
rx(-0.0016) q[1];
rz(-0.2219) q[1];
rx(-0.0044) q[2];
rz(-0.2145) q[2];
rx(-0.0038) q[3];
rz(-0.2142) q[3];
rx(-0.0032) q[4];
rz(-0.2156) q[4];
rx(-0.0012) q[5];
rz(-0.2197) q[5];
rx(-0.0031) q[6];
rz(-0.216) q[6];
rx(-0.0022... | 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": 8} | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | max_flow | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6458, 6426], "expectation_value": -8.031251455968192, "params": [0.0058000000000000005, 0.0014, -0.0105, -0.007200000000000001, 0.398, 0.394, 0.3912, 0.40040000000000003, 0.002, -0.0028, 0.0046, 0.0054, 0.4005, 0.3965, -0.0043, -0.0022, -0.1789, -0.1784, 0.3301, 0.2866, 0.3961, 0.39790000000000003, 0.390800... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 14 | 15 | 3 | {"smallest_eigenvalues": [-10.333333333333227], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333315, "smallest_bitstrings": ["110011011100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0058) q[0];
ry(-0.0105) q[1];
ry(0.398) q[2];
ry(0.3912) q[3];
ry(0.002) q[4];
ry(0.0046) q[5];
ry(0.4005) q[6];
ry(-0.0043) q[7];
ry(-0.1789) q[8];
ry(0.3301) q[9];
ry(0.3961) q[10];
ry(0.3908) q[11];
ry(0.0084) q[12];
ry(0.2961) q[13];
ry(0.2317) q[14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6498021278841855419 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2, 3, 5], [1, 4], [2, 3, 4, 5], [3, 5, 6], [1, 2, 5, 7], [4, 5, 6], [1, 6]]} | {"states": [100, 116], "expectation_value": -0.0766334154623724, "params": [[-0.0786], [0.07250000000000001]], "bitstrings": ["10011011", "10001011"], "total_optimization_steps": 10, "probabilities": [0.004283643200452297, 0.004292372397206864], "optimization_time": 0.8515932559967041} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["10001011"]} | 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(-0.0786) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.0079) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(-0.0786) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(-0.021) q[1];
cx q[2], q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.29846223882715694, "params": [[0.0721, 0.06810000000000001], [-0.061500000000000006, -0.053700000000000005]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.07833619922001706, 0.08340762809982419], "optimization_time": 0.9916915893554688} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.036) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1081) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1802) q[3];
cx q[0], q[3];
rz(-0.036) q[1];
rz(-0.036) q[0];
rz(-0.1081) q[2];
rz(0.1802) q[3];
h q[0];
rz(-0.123... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
e33d6f1fc62bdc37a895a648cbf909d1 | 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": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -16.863119920296157, "params": [0.5437000000000001, 0.8943000000000001, 0.6565000000000001, 1.6045, 0.5553, 1.0541, 0.6336, 1.5176, 0.6325000000000001, 0.9806, 0.6473, 1.9457, 0.21780000000000002, 0.8248000000000001, -0.075, 1.7931000000000001, 0.1729, 0.9410000000000001, -0.09... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 6 | 7 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5437) q[0];
rz(0.8943) q[0];
rx(0.5553) q[1];
rz(1.0541) q[1];
rx(0.6325) q[2];
rz(0.9806) q[2];
rx(0.2178) q[3];
rz(0.8248) q[3];
rx(0.1729) q[4];
rz(0.941) q[4];
rx(0.0056) q[5];
rz(0.7552) q[5];
rx(-0.0009) q[6];
rz(1.6052) q[6];
crx(0.0107) q[6], 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
028dc0beec7314e3d2917229620e9db3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 9}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -15.704677021638007, "params": [[[-0.0241, 0.5761000000000001], [0.0026000000000000003, -0.0111], [0.0021000000000000003, 0.0022], [0.0019, 0.0027], [0.0023, 0.0022], [0.003, 0.003], [0.0021000000000000003, -0.0027], [0.0016, 0.0025], [0.0019, -0.0025], [-1.2242, -0.6854], ... | -1.25 * (Z(0) @ Z(10)) + -0.5 * (Z(1) @ Z(10)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(10)) + -1.25 * (Z(9... | 15 | 11 | 4 | {"smallest_eigenvalues": [-16.25, -16.25, -16.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.25, "smallest_bitstrings": ["10000000000", "10000100001", "11001110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0241) q[0];
ry(0.0026) q[1];
ry(0.0021) q[2];
ry(0.0019) q[3];
ry(0.0023) q[4];
ry(0.003) q[5];
ry(0.0021) q[6];
ry(0.0016) q[7];
ry(0.0019) q[8];
ry(-1.2242) q[9];
ry(-0.0121) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [45, 86], "expectation_value": -0.13648411322743603, "params": [[-0.0553, -0.0697], [0.0693, 0.07060000000000001]], "bitstrings": ["1010010", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009595302565808931, 0.009595302565808931], "optimization_time": 4.355302572250366} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0277) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0277) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0277) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0277) q[0];
cx q[1], 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;
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[... | null | {"circuits": [], "gradients": []} |
f222dfb2324275edf5e9240be57dcb14 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [102, 116], "expectation_value": -4.999883694157715, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 29, "probabilities": [1.634929288736166e-05, 0.9999151802076248], "optimization_time": 22.8391592502594} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[6];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-0.1259) q[2], q[5];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.923580020987941, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.13608908662623545, 0.5552705121777858], "optimization_time": 53.48081135749817} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[0];
ry(-0.1184) q[1];
ry(-0.2053) q[2];
ry(-0.5055) q[3];
cry(-1.3427) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.0653) q[1], q[3];
cry(-1.1823) q[5], q[1];
ry(0.5822) q[5];
cry(-0.4846) q[4], q[2];... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... |
ab341360a725e6b2f6204b135ea8e845 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.7810805975530206, "params": [[0.0363, 0.0345, 0.0658, 0.0471], [-0.0335, -0.0212, -0.049600000000000005, -0.043300000000000005]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007370826173632116, 0.007872802586445984], "optimiz... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0544) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0363) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0363) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0363) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-2568259880308180167 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2], [2, 3], [2, 5], [4, 6], [2, 6], [0, 3]]} | {"states": [75, 11], "expectation_value": -2.1047151893194567, "params": null, "bitstrings": ["0110100", "1110100"], "total_optimization_steps": 50, "probabilities": [0.13865806236412243, 0.689948766869103], "optimization_time": 52.9860315322876} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110100", "0011100", "0110100", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[2];
ry(0.971) q[6];
cry(-1.3758) q[6], q[4];
cry(-0.8029) q[5], q[2];
cry(1.1656) q[6], q[5];
cry(1.3159) q[5], q[3];
cry(-0.434) q[3], q[2];
cry(0.3439) q[3], q[6];
cry(-0.6305) q[6]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [250, 122], "expectation_value": -36.888272186272, "params": [[-0.042, 0.0034000000000000002, 0.005200000000000001, 0.0125], [0.07050000000000001, 0.0668, 0.07100000000000001, 0.061000000000000006]], "bitstrings": ["00000101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02190145747906323... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "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(-0.294) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.294) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.294) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.294) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
05079e6d07a75050861859cedc3b1130 | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [65, 73], "expectation_value": -8.719136306211135, "params": [0.5477000000000001, -0.0027, 1.5989, -0.0032, 1.6019, -0.0037, 0.1638, 0.0023, -0.19990000000000002, 0.2033, 1.5989, 0.0115, -0.0152, -0.0014, -0.0024000000000000002, -0.07010000000000001, 1.6121, 0.006500000000000001, -0.5685, -1.5833000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["110110110", "101110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5477) q[0];
rz(-0.0027) q[0];
rx(1.5989) q[1];
rz(-0.0032) q[1];
rx(1.6019) q[2];
rz(-0.0037) q[2];
rx(0.1638) q[3];
rz(0.0023) q[3];
rx(-0.1999) q[4];
rz(0.2033) q[4];
rx(1.5989) q[5];
rz(0.0115) q[5];
rx(-0.0152) q[6];
rz(-0.0014) q[6];
rx(-0.0024) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 19.056156396865845} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[3];
ry(0.6944) q[0];
ry(-0.451) q[3];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[3];
cry(0.2518) q[2], q[0];
cry(-0.149... | 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... |
08c67341dc145cbcaebda78167dc1cab | 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": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [40, 42], "expectation_value": -5.9356707463052425, "params": [-0.013600000000000001, -0.0112, -0.015300000000000001, -0.0108, 0.1514, 0.15080000000000002, 0.40140000000000003, 0.3981, 0.3895, 0.3906, 0.4055, 0.401, 0.0008, 0.0019, 0.3972, 0.39790000000000003, -0.0152, -0.0212, -0.0079, -0.009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["101010111", "111101001", "110101011", "111100101", "111010101", "110011110", "010011111", "011010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0136) q[0];
ry(-0.0153) q[1];
ry(0.1514) q[2];
ry(0.4014) q[3];
ry(0.3895) q[4];
ry(0.4055) q[5];
ry(0.0008) q[6];
ry(0.3972) q[7];
ry(-0.0152) q[8];
crz(0.2098) q[8], q[0];
crz(0.0417) q[7], q[8];
crz(0.1862) q[6], q[7];
crz(0.0317) q[5], q[6];
crz(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": []} |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [82, 114], "expectation_value": -3.021768394853257, "params": [[[1.6059, 0.0098], [1.6022, 0.0033], [1.6078000000000001, 0.0006000000000000001], [0.0022, 0.0048000000000000004], [0.1376, 0.0024000000000000002], [1.6054000000000002, 0.0037], [0.3755, 0.0034000000000000002]]], "bitstrings": ["0101101", "000110... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6059) q[0];
rz(0.0098) q[0];
rx(1.6022) q[1];
rz(0.0033) q[1];
rx(1.6078) q[2];
rz(0.0006) q[2];
rx(0.0022) q[3];
rz(0.0048) q[3];
rx(0.1376) q[4];
rz(0.0024) q[4];
rx(1.6054) q[5];
rz(0.0037) q[5];
rx(0.3755) q[6];
rz(0.0034) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [59355, 60795], "expectation_value": -14.296928519319282, "params": [[0.14980000000000002, 0.14], [-0.1721, -0.1874]], "bitstrings": ["0001100000100100", "0001001010000100"], "total_optimization_steps": 20, "probabilities": [0.001215241074213919, 0.001216501943671889], "optimization_time": 382.2927906513214} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[2], q[0];
rz(0.1498) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1498) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1498) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} |
-3921038216201407890 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 4, 5], [0, 1, 6], [0, 2, 6], [0, 3, 4, 5]]} | {"states": [55, 63], "expectation_value": -0.5183424815650877, "params": [[-0.38020000000000004], [0.3774]], "bitstrings": ["1001000", "1000000"], "total_optimization_steps": 40, "probabilities": [0.015180364008627985, 0.015509083352402423], "optimization_time": 1.3021159172058105} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0833333333333335, "smallest_bitstrings": ["1000000", "0000011", "0000101", "0111000"]} | 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(-0.1901) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0634) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.1267) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0634) q[5];
cx q[2], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} |
13395b3e8f5e4d47dab66af622a16025 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 63], "expectation_value": -8.077962742735451, "params": [[[-0.0024000000000000002, 1.6099], [0.0031000000000000003, -0.0023], [0.0019, 0.0025], [0.0017000000000000001, 0.0022], [0.0025, 0.0017000000000000001], [0.0023, 0.0027]]], "bitstrings": ["111111", "000000"], "total_optimization_steps": 160, "proba... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0024) q[0];
ry(0.0031) q[1];
ry(0.0019) q[2];
ry(0.0017) q[3];
ry(0.0025) q[4];
ry(0.0023) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.6099) q[0];
ry(-0.0023) q[1];
ry(0.0025) q[2];
ry(0.0022) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | {"node": 5} | {"circuits": [], "gradients": []} |
f69f02979a3dd856d2f0528e75cb43d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 13, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [398, 236], "expectation_value": -27.327890574087277, "params": [[-0.0315, -0.011600000000000001, 0.0129, 0.004], [0.060700000000000004, 0.0613, 0.058600000000000006, 0.0613]], "bitstrings": ["001110001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009764295324046894, 0.0132725680640883... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2835) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2835) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2835) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2835) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-2366032373491310907 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [206, 238], "expectation_value": -2.332846310662741, "params": null, "bitstrings": ["00110001", "00010001"], "total_optimization_steps": 49, "probabilities": [0.18192682082472084, 0.7238840513480789], "optimization_time": 73.91480159759521} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"]} | 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(1.5158) q[4];
cry(-1.3599) q[4], q[7];
ry(1.2121) q[1];
cry(-1.0684) q[0], q[3];
ry(0.8585) q[0];
cry(-0.5937) q[1], q[3];
cry(0.4747) q[4], q[0];
cry(0.8628) q[0], q[5];
cry(-0.3748) q[5], q[3... | 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(1.5158) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
286938647322323628 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [0, 2], [8, 4], [0, 4], [0, 5], [8, 6], [5, 7], [5, 6], [0, 3], [1, 3], [0, 7], [8, 3], [8, 5], [2, 5], [2, 4], [4, 7], [3, 4], [0, 1], [3, 5], [1, 5], [3, 7], [3, 6], [8, 1]]} | {"states": [184, 327], "expectation_value": -0.2727234198080446, "params": [[-0.0787], [0.0792]], "bitstrings": ["101000111", "010111000"], "total_optimization_steps": 10, "probabilities": [0.0024167125845057386, 0.0024167125845057386], "optimization_time": 2.5531046390533447} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["100111000", "101000111", "100101001", "011010110", "011000111", "010111000", "000111000", "111000111"]} | 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[2];
rz(-0.0787) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0787) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(-0.0787) q[0];
cx q[2], q[0];
cx q[3], q[8];
rz(-0.0787) q[8];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];... | null | {"circuits": [], "gradients": []} |
a9799b4ee1d10c85513491b8608bbce0 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [62, 46], "expectation_value": -3.765829719189057, "params": [-0.006900000000000001, 0.3781, 0.0054, -0.1075, 0.7070000000000001, -0.0034000000000000002, 0.38120000000000004, -0.0692, 0.6935, 0.0016, 0.6971, -0.0029000000000000002, 0.7011000000000001, -0.0008, -0.004200000000000001, -0.3211, -0.0043, 0.3794,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + 0.0 * Z(4) + -1.0 * Z(1) + -0.5 * Z(6) + -1.0 * Z(7) + 0.0 * Z(5) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010011", "11010001", "11010100", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0069) q[0];
rz(0.3781) q[0];
rx(0.0054) q[1];
rz(-0.1075) q[1];
rx(0.707) q[2];
rz(-0.0034) q[2];
rx(0.3812) q[3];
rz(-0.0692) q[3];
rx(0.6935) q[4];
rz(0.0016) q[4];
rx(0.6971) q[5];
rz(-0.0029) q[5];
rx(0.7011) q[6];
rz(-0.0008) q[6];
rx(-0.0042) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [97, 41], "expectation_value": -5.996464085561496, "params": null, "bitstrings": ["0011110", "1010110"], "total_optimization_steps": 25, "probabilities": [0.06634840431890256, 0.9303662506162153], "optimization_time": 19.948329210281372} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[6];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[1], q[3];
cry(-0.3789) q[1], q[0];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -4.690011470750852, "params": [[0.060700000000000004, 0.039], [-0.061500000000000006, -0.0383]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013278235916411, 0.014067246963374129], "optimization_time": 4.370595693588257} | 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(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2732) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2732) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2732) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2732) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
-3775562683596928461 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 7], [8, 0, 2], [0, 2, 4], [6, 7], [3, 4], [1, 3, 5], [0, 5], [4, 5], [8, 5], [1, 7], [0, 1, 3], [2, 3], [5, 6], [8, 0, 3], [0, 6], [2, 6]]} | {"states": [346, 362], "expectation_value": -4.400843096073418, "params": null, "bitstrings": ["010100101", "010010101"], "total_optimization_steps": 59, "probabilities": [0.10330537992177624, 0.81678305385181], "optimization_time": 121.69142198562622} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["010010101"]} | 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(1.5298) q[0];
cry(-1.4447) q[0], q[6];
ry(1.5285) q[7];
ry(1.4418) q[2];
cry(-1.3574) q[4], q[3];
cry(-1.1411) q[5], q[8];
ry(0.8639) q[5];
cry(-0.5876) q[0], q[8];
cry(-1.1051) q[7], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
ee1205bd74dfee0fb5e9d23196a23f92 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1015], "expectation_value": -23.52070147703191, "params": [[[0.0026000000000000003, 3.1611000000000002], [0.0023, 0.0024000000000000002], [0.0018000000000000002, 0.002], [0.0019, 0.0019], [0.0023, 0.002], [0.0023, 0.0021000000000000003], [1.6145, 0.0022], [0.0029000000000000002, -0.0019], [0.002, 0.00... | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5... | 15 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0026) q[0];
ry(0.0023) q[1];
ry(0.0018) q[2];
ry(0.0019) q[3];
ry(0.0023) q[4];
ry(0.0023) q[5];
ry(1.6145) q[6];
ry(0.0029) q[7];
ry(0.002) q[8];
ry(0.0026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 7} | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 19.16401505470276} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
ry(1.5708) q[6];
ry(-1.5708) q[0];
cry(-1.5708) q[1], q[4];
ry(-1.5486) q[2];
ry(-1.5708) q[3];
ry(-1.4449) q[5];
cry(-0.1188) q[1], q[5];
cry(-0.0222) q[1], q[2];
cry(-0.0001) q[1], q[0]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
6682425669023966102 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 5], [0, 7], [3, 5], [5, 7], [2, 7], [6, 7], [4, 6], [0, 2], [0, 9], [2, 6], [9, 5], [5, 6], [2, 5], [1, 5], [1, 2], [9, 7], [1, 9], [1, 4], [0, 6], [10, 6], [8, 7], [10, 3], [3, 6], [9, 6], [4, 5], [9, 2], [4, 7]]} | {"states": [696, 568], "expectation_value": -0.11526291621415755, "params": [[[1.4671, 0.008700000000000001], [1.7319, 0.0024000000000000002], [1.4441000000000002, 0.0043], [1.4963, 0.0023], [1.4012, 0.0045000000000000005], [1.6846, 0.003], [1.7144000000000001, 0.0082], [1.723, 0.0095], [1.4199000000000002, 0.0095], [1... | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111000110", "00111000110", "00111010110", "11000101001", "01000111000", "01000111001", "00111000111", "11000111000", "10111000111", "11000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4671) q[0];
rz(0.0087) q[0];
rx(1.7319) q[1];
rz(0.0024) q[1];
rx(1.4441) q[2];
rz(0.0043) q[2];
rx(1.4963) q[3];
rz(0.0023) q[3];
rx(1.4012) q[4];
rz(0.0045) q[4];
rx(1.6846) q[5];
rz(0.003) q[5];
rx(1.7144) q[6];
rz(0.0082) q[6];
rx(1.723) 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": []} |
2189038496565069660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 4, 5, 7], [0, 1, 2, 7], [5, 6]]} | {"states": [219, 189], "expectation_value": -0.589560163681358, "params": [[0.46280000000000004], [-0.4375]], "bitstrings": ["00100100", "01000010"], "total_optimization_steps": 50, "probabilities": [0.010453566306552095, 0.010472360174365817], "optimization_time": 1.6934380531311035} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00101010", "10010100", "01000010", "00010011", "10011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.2314) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1543) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.1543) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0771) q[4];
cx q[1], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
r... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 46], "expectation_value": -1.8264666766165711, "params": null, "bitstrings": ["0110001", "1010001"], "total_optimization_steps": 55, "probabilities": [0.08695454096584285, 0.7299681582743718], "optimization_time": 87.09565496444702} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.3016) q[3], q[2];
cry(-1.3016) q[1], q[0];
ry(1.0216) q[5];
cry(-0.4707) q[4], q[2];
ry(0.7782) q[4];
cry(0.6605) q[4], q[3];
cry(-0.3396) q[5], q[2];
cry(-0.4282) q[6], q[0];
cry(0.5413) q[3], q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-7859137176385500933 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3], [1, 2, 4, 5, 9], [1, 2, 3], [0, 5, 7, 8, 9], [0, 8, 6], [0, 4, 7, 8, 9], [1, 7], [8, 2], [2, 3, 4, 5, 7], [4, 6], [5, 6, 7, 8, 9], [9, 3, 6]]} | {"states": [355, 669], "expectation_value": -2.8714197237092316, "params": [[[3.1495, 0.0053], [3.1615, 0.0076], [3.1618, 0.0017000000000000001], [0.7708, 0.0032], [3.1613, 0.008400000000000001], [0.1685, 0.0054], [0.5714, 0.0007], [3.1607000000000003, 0.0027], [1.6225, 0.0022], [3.1611000000000002, 0.0014]]], "bitstri... | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-3.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["0101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1495) q[0];
rz(0.0053) q[0];
rx(3.1615) q[1];
rz(0.0076) q[1];
rx(3.1618) q[2];
rz(0.0017) q[2];
rx(0.7708) q[3];
rz(0.0032) q[3];
rx(3.1613) q[4];
rz(0.0084) q[4];
rx(0.1685) q[5];
rz(0.0054) q[5];
rx(0.5714) q[6];
rz(0.0007) q[6];
rx(3.1607) 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": []} |
66118b4a39d9f94415b36602b745f3db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [29, 63], "expectation_value": -1.9999483925054182, "params": [[-0.0025, -0.0025, -0.001, 1.0262, 0.0009000000000000001, -0.0025, -0.0024000000000000002], [0.0021000000000000003, -0.004, 0.0029000000000000002, 0.9869, 0.0028, -0.0034000000000000002, 1.5701], [-0.0023, 1.0628, 0.9938, 1.5729, 0.9577, 0.774400... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 9 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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(-0.0025) q[0];
rx(-0.0025) q[1];
rx(-0.001) q[2];
rx(1.0262) q[3];
rx(0.0009) 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": []} |
747385e04fd0dd2b6d0c4622d0e7e638 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 214], "expectation_value": -75.89036899639851, "params": [0.0034000000000000002, 0.8722000000000001, 0.0035, 0.0053, 0.4626, 0.4307, 0.4585, 0.004, 1.3016, 0.0051, 1.3022, 0.001, 1.3064, 0.0281, 1.3013000000000001, 0.0028, 0.8795000000000001, -0.33480000000000004, 0.8839, 0.0015, 1.3025, 0.0572, 1.3033... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(9)) + 7.0 * Z(2) + 1.5 * Z(1) + 11.0 * Z... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0034) q[0];
rz(0.8722) q[0];
rx(0.4626) q[1];
rz(0.4307) q[1];
rx(1.3016) q[2];
rz(0.0051) q[2];
rx(1.3064) q[3];
rz(0.0281) q[3];
rx(0.8795) q[4];
rz(-0.3348) q[4];
rx(1.3025) q[5];
rz(0.0572) q[5];
rx(0.4975) q[6];
rz(-0.3979) q[6];
rx(1.3027) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
6406377401047289872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6], [9, 7], [0, 4], [8, 4], [8, 10], [3, 7], [2, 4], [4, 6], [6, 7], [8, 7], [0, 10], [0, 2], [9, 4], [10, 2], [1, 2], [1, 7], [11, 6], [0, 7], [2, 5], [0, 6], [8, 11], [10, 5], [9, 3], [9, 10], [5, 7], [0, 11], [10, 4], [8, 1], [11, 7]]} | {"states": [2207, 2203], "expectation_value": -0.07978417865564265, "params": [0.8304, 0.8274, 0.734, 0.7389, 0.7273000000000001, 0.7282000000000001, 0.7347, 0.7412000000000001, 0.8400000000000001, 0.8363, 0.7391000000000001, 0.7354, 0.7454000000000001, 0.7391000000000001, 0.8225, 0.8234, 0.8254, 0.8311000000000001, 0.... | 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["001111100100", "100010011011", "110000011011", "011101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.8304) q[0];
ry(0.734) q[1];
ry(0.7273) q[2];
ry(0.7347) q[3];
ry(0.84) q[4];
ry(0.7391) q[5];
ry(0.7454) q[6];
ry(0.8225) q[7];
ry(0.8254) q[8];
ry(0.7554) q[9];
ry(0.8514) q[10];
ry(0.8535) q[11];
crz(-0.0191) q[11], q[0];
crz(-0.0912) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_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": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 97.68369626998901} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.2796) q[7];
ry(1.5708) q[5];
cry(-1.569) q[5], q[2];
cry(-1.5681) q[5], q[1];
cry(-1.5681) q[5], q[3];
cry(0.2912) q[5], q[7];
cry(1.4449) q[5], q[4];
cry(-1.4433) q[4], q[6... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
902d1b67930e0629acecd09204caf4e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [136, 95], "expectation_value": -2.94429511617757, "params": [[0.0539, 0.0478, 0.0639, 0.0592], [-0.0461, -0.030500000000000003, -0.0495, -0.0478]], "bitstrings": ["01110111", "10100000"], "total_optimization_steps": 10, "probabilities": [0.010542171434269148, 0.010814615544953108], "optimization_time": 6.14... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | 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(-0.027) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.027) q[2];
cx q[0], q[2];
cx q[1], q[7];
rz(-0.1617) q[7];
cx q[1], q[7];
cx q[0], q[7];
rz(0.0809) q[7];
cx q[0], q[7];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 214], "expectation_value": -8.347126267819709, "params": [-0.002, 0.5261, 0.6962, 0.0063, 0.6900000000000001, 0.0015, -0.0023, 0.4353, 0.4903, 0.2727, 0.46630000000000005, 0.2427, 0.6991, -0.0022, 0.6944, 0.003, 0.0027, -0.5195000000000001, 0.0012000000000000001, 0.5362, 0.6975, 0.0045000000000000005, ... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (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(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100101001", "100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.002) q[0];
rz(0.5261) q[0];
rx(0.6962) q[1];
rz(0.0063) q[1];
rx(0.69) q[2];
rz(0.0015) q[2];
rx(-0.0023) q[3];
rz(0.4353) q[3];
rx(0.4903) q[4];
rz(0.2727) q[4];
rx(0.4663) q[5];
rz(0.2427) q[5];
rx(0.6991) q[6];
rz(-0.0022) q[6];
rx(0.6944) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
b35b67be6f13e1c7d0fe900b84e9f3d0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [89, 91], "expectation_value": -2.4909182082463617, "params": [[[0.33680000000000004, -0.008], [0.1022, 0.0036000000000000003], [0.8936000000000001, -0.0007], [0.301, 0.0345], [0.8885000000000001, 0.1072], [0.8998, 0.10210000000000001], [0.4854, 0.47990000000000005], [0.8351000000000001, 0.8765000000000001],... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3368) q[0];
ry(0.1022) q[1];
ry(0.8936) q[2];
ry(0.301) q[3];
ry(0.8885) q[4];
ry(0.8998) q[5];
ry(0.4854) q[6];
ry(0.8351) q[7];
ry(0.8547) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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": 20.61668086051941} | 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 | 4 | {"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... |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [15, 7], "expectation_value": -5.321619817057602, "params": [0.5213, 1.1068, -0.43260000000000004, 0.7624000000000001, 0.27290000000000003, 0.5907, 0.6819000000000001, 0.523, 0.48260000000000003, 0.5244, 0.632, 0.9055000000000001, 0.5162, 0.5359, 0.5272, 1.0039, -0.5092, 0.7185, 0.5673, 0.8486, 0.657, 1.1402... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 6 | 4 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.5213) q[0];
rz(1.1068) q[0];
rx(0.2729) q[1];
rz(0.5907) q[1];
rx(0.4826) q[2];
rz(0.5244) q[2];
rx(0.5162) q[3];
rz(0.5359) q[3];
crx(0.4232) q[3], q[2];
crx(0.6004) q[3], q[1];
crx(-0.7965) q[3], q[0];
crx(0.4536) q[2], q[3];
crx(0.6004) q[2], q[1];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
6b7f2ccbb1274b7bda9ba669045efddf | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2925, 2941], "expectation_value": -3.4920835609949723, "params": [0.0019, 0.0025, 3.1619, 0.009000000000000001, 0.5338, 0.0064, 3.1619, 0.0026000000000000003, 3.1619, 0.006200000000000001, 0.8911, 0.0044, 3.1608, 0.0023, 3.1618, 0.0027, 1.6558000000000002, 0.0056, 3.1620000000000004, 0.002, 3.15860000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 16 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110000001001", "111... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0019) q[0];
rz(0.0025) q[0];
rx(3.1619) q[1];
rz(0.009) q[1];
rx(0.5338) q[2];
rz(0.0064) q[2];
rx(3.1619) q[3];
rz(0.0026) q[3];
rx(3.1619) q[4];
rz(0.0062) q[4];
rx(0.8911) q[5];
rz(0.0044) q[5];
rx(3.1608) q[6];
rz(0.0023) q[6];
rx(3.1618) 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": []} |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 9.416476964950562} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
cry(-1.5681) q[4], q[0];
ry(1.111) q[4];
ry(-0.4823) q[0];
ry(-1.5486) q[2];
ry(-1.5628) q[1];
cry(-0.2079) q[0], q[4];
cry(-0.0222) q[4], q[2];
cry(-0.0079) q[4], q[1];
cry(-0.0161) q[0], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
9b6c90aee56ab84919f7c826e678a024 | kclique | adaptive_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": [3, 9], "expectation_value": -7.123170061706766, "params": null, "bitstrings": ["11100", "10110"], "total_optimization_steps": 29, "probabilities": [0.1405844083484402, 0.6434159405450673], "optimization_time": 21.925687074661255} | 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) | 9 | 5 | 4 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[2];
cry(-1.5708) q[4], q[0];
ry(0.8148) q[4];
cry(-1.5708) q[1], q[3];
ry(0.6593) q[1];
ry(-0.3489) q[0];
cry(-0.2626) q[4], q[3];
cry(0.3453) q[1], q[4];
cry(-0.2275) q[1], q[0];
cry(0.2896) q[4], q[1];
ry... | null | {"k": 3} | {"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(-1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
93cec355aa5bb6272cdc555b81a1199e | 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": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"sour... | {"states": [154, 218], "expectation_value": -2.9987048846437188, "params": [[[0.1583, -0.22970000000000002], [0.6002000000000001, 0.003], [0.5994, -0.0005], [0.2185, 0.1018], [0.6015, 0.0023], [0.61, -0.0015], [-0.0058000000000000005, 0.2872], [0.6013000000000001, 0.0018000000000000002], [-0.0018000000000000002, -0.285... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + -1.0 * Z(3) + -1.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(7) | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010101", "100010101", "100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1583) q[0];
rz(-0.2297) q[0];
rx(0.6002) q[1];
rz(0.003) q[1];
rx(0.5994) q[2];
rz(-0.0005) q[2];
rx(0.2185) q[3];
rz(0.1018) q[3];
rx(0.6015) q[4];
rz(0.0023) q[4];
rx(0.61) q[5];
rz(-0.0015) q[5];
rx(-0.0058) q[6];
rz(0.2872) q[6];
rx(0.6013) 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": []} |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [58, 42], "expectation_value": -0.058882602321449436, "params": [0.2001, 0.0046, 0.1965, 0.0044, 0.1917, 0.005200000000000001, 0.1899, 0.0049, 0.2029, -0.0036000000000000003, 0.2044, -0.0038, 0.1887, -0.0036000000000000003, 0.18150000000000002, -0.0032, 0.1961, -0.0006000000000000001, 0.19940000000000002, -0... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 6 | 6 | 4 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.2001) q[0];
rz(0.0046) q[0];
rx(0.1917) q[1];
rz(0.0052) q[1];
rx(0.2029) q[2];
rz(-0.0036) q[2];
rx(0.1887) q[3];
rz(-0.0036) q[3];
rx(0.1961) q[4];
rz(-0.0006) q[4];
rx(0.185) q[5];
rz(-0.0057) q[5];
crx(-0.1748) q[5], q[4];
crx(-0.1753) q[5], q[3];
crx... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
2fe717ea46813ceed4568f553b83653e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [0, 1280], "expectation_value": -13.33165070044808, "params": [-0.0007, -0.0049, -0.6038, -0.548, -0.079, 0.022500000000000003, 0.1047, -0.0362, -0.0018000000000000002, -0.008, -0.0016, -0.0054, -0.007, -0.0044, 0.0005, -0.008700000000000001, -0.0028, -0.0057, -0.0216, -0.0063, -0.007200000000000001, -0.0028... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(10) @ Z(5)) + -0.25 * (Z(6) @ Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "100000000011", "101011111111", "100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0007) q[0];
ry(-0.6038) q[1];
ry(-0.079) q[2];
ry(0.1047) q[3];
ry(-0.0018) q[4];
ry(-0.0016) q[5];
ry(-0.007) q[6];
ry(0.0005) q[7];
ry(-0.0028) q[8];
ry(-0.0216) q[9];
ry(-0.0072) q[10];
ry(0.0024) q[11];
crx(1.3853) q[11], q[0];
crx(0.0515) q[10], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [9, 41], "expectation_value": -3.532759597760661, "params": [-0.0028, 0.2092, 0.39590000000000003, 0.097, 0.0645, -0.12290000000000001, 0.4051, -0.0017000000000000001, 0.0005, 0.2255, 0.2622, 0.08120000000000001, 0.4067, 0.0016, -0.006500000000000001, 0.21080000000000002, 0.3951, 0.1057, 0.0613, -0.1255, 0.4... | 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... | 3 | 7 | 4 | {"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;
rx(-0.0028) q[0];
rz(0.2092) q[0];
rx(0.3959) q[1];
rz(0.097) q[1];
rx(0.0645) q[2];
rz(-0.1229) q[2];
rx(0.4051) q[3];
rz(-0.0017) q[3];
rx(0.0005) q[4];
rz(0.2255) q[4];
rx(0.2622) q[5];
rz(0.0812) q[5];
rx(0.4067) q[6];
rz(0.0016) q[6];
crz(0.0014) 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": []} |
-1098029216507613742 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [81, 104], "expectation_value": -0.059524856560048314, "params": [[0.0745], [-0.0815]], "bitstrings": ["0101110", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008777408999338258, 0.008777408999338258], "optimization_time": 2.6922247409820557} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"]} | 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[2];
rz(0.0745) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(0.0745) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(0.0745) q[0];
cx q[4], q[0];
cx q[6], q[1];
rz(0.0745) q[1];
cx q[6], q[1];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 28], "expectation_value": -3.002348121085071, "params": null, "bitstrings": ["111010", "100011"], "total_optimization_steps": 30, "probabilities": [0.05888063726826326, 0.8445431773055133], "optimization_time": 19.855452299118042} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
cry(-1.3016) q[1], q[5];
ry(1.2945) q[3];
ry(0.7777) q[1];
ry(-0.6314) q[5];
cry(1.319) q[1], q[2];
cry(0.4657) q[3], q[1];
cry(-0.1364) q[2], q[5];
cry(-0.1259) q[2], q[0];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -3.4140789710129367, "params": [[0.0618, 0.0613, 0.0351, -0.0732], [-0.052000000000000005, -0.0634, -0.051500000000000004, -0.0028]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.012384548936704366, 0.013744537489482593], "optimiza... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.1236) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.1545) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0927) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0927) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 41], "expectation_value": -2.7529330695383964, "params": [0.5997, -0.0031000000000000003, 0.0009000000000000001, 0.3347, 0.5372, 0.19690000000000002, -0.0045000000000000005, 0.3859, 0.0013000000000000002, 0.31010000000000004, 0.6031000000000001, 0.1584, 0.6086, -0.0034000000000000002, 0.0027, 0.3443, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 3 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.5997) q[0];
rz(-0.0031) q[0];
rx(0.0009) q[1];
rz(0.3347) q[1];
rx(0.5372) q[2];
rz(0.1969) q[2];
rx(-0.0045) q[3];
rz(0.3859) q[3];
rx(0.0013) q[4];
rz(0.3101) q[4];
rx(0.6031) q[5];
rz(0.1584) q[5];
crz(0.3176) q[5], q[4];
crz(-0.3065) q[4], q[3];
crz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e1ee122704659894b3696f576081a2cf | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -14.667052718683104, "params": [[-0.0296, -0.0235], [0.046, 0.059300000000000005]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004991297829960223, 0.006286258473029394], "optimization_time": 3.6637203693389893} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2664) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2664) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2664) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.2664) q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
c745eafdc2adbaeba26c5101fc679bcd | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [205, 109], "expectation_value": -15.94743362834613, "params": [[0.0388, 0.011300000000000001], [-0.07930000000000001, -0.08070000000000001]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013747749427821303, 0.014579998036479396], "optimization_time": 2.43420076... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 12.5 * Z(4) + 9.0 * Z(5) + 7.5 * Z(3) + 2.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.388) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.388) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.388) q[4];
cx q[2], q[4];
cx q[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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
5599209576576838279 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 7, 8], [8, 2, 6, 7], [0, 1, 2, 3, 5, 6, 7]]} | {"states": [493, 485], "expectation_value": -0.47525730017135154, "params": [1.097, 0.0045000000000000005, 1.0906, 0.0019, 1.0931, 0.005, 1.0855000000000001, 0.0053, 1.0932, 0.0019, 1.092, 0.0076, 1.0915000000000001, 0.0047, 1.0874000000000001, 0.0026000000000000003, 1.0907, -0.0112, 0.9207000000000001, 0.0065000000000... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809... | 6 | 9 | 1 | {"smallest_eigenvalues": [-0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809], "number_of_smallest_eigenvalues": 11, "first_excited_energy": ... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.097) q[0];
rz(0.0045) q[0];
rx(1.0931) q[1];
rz(0.005) q[1];
rx(1.0932) q[2];
rz(0.0019) q[2];
rx(1.0915) q[3];
rz(0.0047) q[3];
rx(1.0907) q[4];
rz(-0.0112) q[4];
rx(1.0996) q[5];
rz(0.0021) q[5];
rx(1.092) q[6];
rz(0.0009) q[6];
rx(1.1009) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-5777377544430393291 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [6, 7], [3, 7], [1, 2, 4, 5, 6, 8], [0, 1, 2, 5, 6, 8], [0, 1, 4, 5, 8], [1, 2, 3, 6], [0, 1, 4, 7, 8]]} | {"states": [380, 373], "expectation_value": -0.036258330859310614, "params": [[-0.0502], [0.0644]], "bitstrings": ["010000011", "010001010"], "total_optimization_steps": 10, "probabilities": [0.002057436022841746, 0.0020625751240212374], "optimization_time": 5.451435089111328} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.15 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.15 * (Z(1) @ Z(2)) + 0.15 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(7)) + 0.03333333333333333 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.549999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4833333333333334, "smallest_bitstrings": ["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[7], q[2];
rz(-0.0502) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(-0.0502) q[6];
cx q[7], q[6];
cx q[2], q[6];
rz(-0.0151) q[6];
cx q[2], q[6];
cx q[7], q[3];
rz(-0.0502) q[3];
cx q[7], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 22.350082397460938} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[4], q[5];
cry(0.1246) q[2], q[4];
cry(0.1218) q[4], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
aa017fe03799a772a3aff0770f4d70b4 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [59, 63], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1000100", "1000000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 14.670585870742798} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(1.5681) q[5], q[6];
cry(-1.4449) q[6], q[0];
cry(1.4449) q[6], q[3];
cry(-0.1188) q[5], q[0];
ry(0.1188) q[3];
cry(-0.0067) q[3], q[0];
cry(0.0015) q[3], q[6];
c[0] = measure q[0];
c[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
0c945e13d24e3db70f80084c9fd9fc0e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -22.076640358577023, "params": [[[0.0287, 0.3478], [-0.001, 0.0097], [-0.0012000000000000001, 0.003], [0.0027, -0.003], [0.0086, 0.0024000000000000002], [-0.0083, 0.0025], [0.0036000000000000003, -0.0027], [0.002, -0.0032], [0.0027, -0.0038], [-0.43760000000000004, -1.1292]... | -1.25 * (Z(0) @ Z(8)) + 1.5 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(1)) + -2.25 * (Z(7) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(9) @ Z(8)) + -1.75 * (Z(9) @ Z(4)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0287) q[0];
ry(-0.001) q[1];
ry(-0.0012) q[2];
ry(0.0027) q[3];
ry(0.0086) q[4];
ry(-0.0083) q[5];
ry(0.0036) q[6];
ry(0.002) q[7];
ry(0.0027) q[8];
ry(-0.4376) q[9];
ry(0.0071) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
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