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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [14, 7], "expectation_value": -2.2375208743632533, "params": [[-0.024800000000000003], [0.0307]], "bitstrings": ["11110001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.004263091882614492, 0.004319181869232488], "optimization_time": 4.609287977218628} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1364) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1364) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1364) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1364) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[... | {"k": 5} | {"circuits": [], "gradients": []} |
5a1f4c0428a11f53f00fec7780697090 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [0, 3], "expectation_value": -2.539868514879459, "params": [[-0.0892], [0.0818]], "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 10, "probabilities": [0.014375820232664966, 0.015174214645633548], "optimization_time": 2.0322582721710205} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.5 * Z(4) + -2.5 * Z(3) + 1.5 * Z(2) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.446) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.5352) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.446) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.5352) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"node": 4} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [22, 7], "expectation_value": -1.56669859420301, "params": [[-0.046, 0.0693], [0.0714, -0.0442]], "bitstrings": ["101001", "111000"], "total_optimization_steps": 10, "probabilities": [0.019140889146840694, 0.019443654717690207], "optimization_time": 3.577432632446289} | 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)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.161) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.161) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.161) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.184) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.161... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
0383062743a6032431a10ba112efca08 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [9698, 8672], "expectation_value": -21.162205964577858, "params": [[-0.0332, -0.0999, 0.3376], [0.4247, 0.17450000000000002, -0.1131]], "bitstrings": ["1101101000011101", "1101111000011111"], "total_optimization_steps": 60, "probabilities": [0.00045680742306771025, 0.00045680742306771085], "optimization_time... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 1 | 16 | 3 | {"smallest_eigenvalues": [-26.249999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999794, "smallest_bitstrings": ["1101111000011111"]} | 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[13], q[0];
rz(-0.0332) q[0];
cx q[13], q[0];
cx q[13], q[14];
rz(-0.0664) q[14];
cx q[13], q[14];
cx q[0], q[14];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [511, 255], "expectation_value": -8.041091763529012, "params": [[[-0.0032, -0.02], [0.0017000000000000001, -0.0019], [-0.0008, -0.0028], [0.0047, -0.0027], [-0.0017000000000000001, -0.0028], [0.0029000000000000002, -0.0026000000000000003], [-0.0016, -0.0024000000000000002], [-0.006200000000000001, 0.0038], [... | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0032) q[0];
ry(0.0017) q[1];
ry(-0.0008) q[2];
ry(0.0047) q[3];
ry(-0.0017) q[4];
ry(0.0029) q[5];
ry(-0.0016) q[6];
ry(-0.0062) q[7];
ry(1.6375) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -23.638488140766903, "params": [[[0.1786, -0.3241], [0.2856, 0.1932], [0.5052, -0.0405], [0.17800000000000002, -0.3244], [0.1731, -0.3252], [0.7986000000000001, 0.0036000000000000003], [0.7975, 0.004]], [[0.1746, 0.0057], [0.28650000000000003, 0.0057], [0.5053, 0.0065000000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1786) q[0];
rz(-0.3241) q[0];
rx(0.2856) q[1];
rz(0.1932) q[1];
rx(0.5052) q[2];
rz(-0.0405) q[2];
rx(0.178) q[3];
rz(-0.3244) q[3];
rx(0.1731) q[4];
rz(-0.3252) q[4];
rx(0.7986) q[5];
rz(0.0036) q[5];
rx(0.7975) q[6];
rz(0.004) q[6];
rx(0.1746) q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
3729892536427209510 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5], [9, 7], [9, 2], [0, 3], [3, 11, 5], [0, 10], [2, 10], [4, 5], [1, 2, 11], [5, 6], [1, 4, 6], [8, 9, 4], [2, 4], [3, 7], [1, 2, 7], [9, 3], [11, 2, 3], [9, 11], [0, 2, 7], [11, 4, 7]]} | {"states": [1625, 3673], "expectation_value": -1.5670858618347445, "params": [0.7793, 0.0056, 0.7788, 0.0061, 1.0027000000000001, 0.001, 0.9958, -0.0031000000000000003, 0.9998, 0.0067, 0.9951000000000001, 0.0037, 0.6393, -0.20850000000000002, 0.5810000000000001, -0.20400000000000001, 0.7208, -0.1655, 0.7139, 0.00870000... | 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(10)) + 0.... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000002, "smallest_bitstrings": ["000110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7793) q[0];
rz(0.0056) q[0];
rx(1.0027) q[1];
rz(0.001) q[1];
rx(0.9998) q[2];
rz(0.0067) q[2];
rx(0.6393) q[3];
rz(-0.2085) q[3];
rx(0.7208) q[4];
rz(-0.1655) q[4];
rx(1.0003) q[5];
rz(-0.0239) q[5];
rx(0.6274) q[6];
rz(-0.1858) q[6];
rx(0.9931) 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": []} |
7448270381232264673 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [2, 3, 5, 7], [3, 5, 6], [0, 2, 3, 4, 7], [0, 1, 2, 3], [1, 3, 4, 5], [1, 2, 5, 7], [0, 1, 5], [0, 1, 6, 7]]} | {"states": [174, 175], "expectation_value": -0.9926927226209101, "params": [[-0.2733], [0.2767]], "bitstrings": ["01010001", "01010000"], "total_optimization_steps": 30, "probabilities": [0.007882469259711948, 0.008153862591084596], "optimization_time": 1.9161286354064941} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1184) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1184) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0729) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.2277) 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] 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": []} |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 11.863633871078491} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
cry(-1.5708) q[5], q[0];
ry(1.0958) q[5];
ry(-0.5471) q[0];
ry(-1.5699) q[4];
ry(-1.5486) q[3];
ry(-1.5708) q[2];
cry(-0.0778) q[0], q[5];
cry(-0.0222) q[5], q[3];
cry(-0.0158) q[0], q[3];
cry(-... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
d6991d057b315b177a32f1a4a2aac75c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [26, 11], "expectation_value": -4.489065600766129, "params": null, "bitstrings": ["1100101", "1110100"], "total_optimization_steps": 29, "probabilities": [0.060236477054094864, 0.8645371707798224], "optimization_time": 28.170666217803955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -2.0 * Z(4) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111100", "1100101", "1110100", "0101101", "1011100"]} | 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[4];
ry(-1.5681) q[1];
ry(1.4449) q[5];
cry(-1.0343) q[3], q[0];
cry(-1.0343) q[6], q[2];
ry(0.7003) q[6];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[6];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9d1382902993d8e771af3489e0021226 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 22.200339317321777} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[2], q[1];
cry(0.1216) q[1], q[5];
cry(0.1186) q[5], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
1836f56c6aacade8d2873047a951421e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -18.94764111294052, "params": [[-0.036500000000000005, 0.0034000000000000002], [0.0738, 0.07]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005921806156642324, 0.007910492455583848], "optimization_time": 3.4657108783721924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3285) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.3285) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.3285) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.3285) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5497aadc1aba4caf2593a1eb9cf81521 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [138, 139], "expectation_value": -7.02381168176516, "params": [[0.0068000000000000005, 1.0498, -0.0086, -0.0378, -0.0023, 1.0174, 0.0027, 1.1998, 0.7404000000000001], [-0.008700000000000001, 1.0472000000000001, 0.001, 0.0611, -0.0026000000000000003, 1.1800000000000002, 0.0108, 0.7325, -0.2424], [-0.01, 1.052... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["101110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0068) q[0];
ry(1.0498) q[1];
ry(-0.0086) q[2];
ry(-0.0378) q[3];
ry(-0.0023) q[4];
ry(1.0174) q[5];
ry(0.0027) q[6];
ry(1.1998) q[7];
ry(0.7404) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 115], "expectation_value": -8.241782395163288, "params": [[-0.0521], [0.0661]], "bitstrings": ["10000100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.00705482362762687, 0.007936854640657538], "optimization_time": 1.8240103721618652} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.4168) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4168) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.4168) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.4168) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -3.1496741006816054, "params": [[-0.0594], [0.061900000000000004]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.010519506668787048, 0.010644110456189453], "optimization_time": 3.838209390640259} | 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 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "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(-0.2673) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2673) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2673) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2673) q[3];
cx q[1], q[3];
cx q[0], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} |
18eef7556e7c99f2056daf5370482c12 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -11.481680469348618, "params": [[0.033800000000000004], [-0.067]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003601048303935416, 0.0041693454831980906], "optimization_time": 2.1298611164093018} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3042) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3042) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3042) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3042) q[3];
cx q[0], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [35, 97], "expectation_value": -0.5693945822135967, "params": [[-0.038900000000000004, -0.0341, -0.0437, -0.038900000000000004], [0.0568, 0.0323, 0.0492, 0.0458]], "bitstrings": ["1011100", "0011110"], "total_optimization_steps": 10, "probabilities": [0.010936811212700981, 0.010936811212700981], "optimizatio... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0389) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0389) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0389) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0389) q[1];
cx q[3], q[1];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
91fd701868951eab612ba86420778b2e | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.854537807693006, "params": [0.0913, 0.26180000000000003, 0.0897, 0.2651, 0.0848, 0.2431, 0.0585, 0.274, 0.49300000000000005, 0.12340000000000001, 0.4965, 0.12510000000000002, 0.08750000000000001, 0.2456, 0.0849, 0.2649, 0.0852, 0.2523, 0.062400000000000004, 0.2795, 0.4878, 0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 3 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0913) q[0];
rz(0.2618) q[0];
rx(0.0897) q[1];
rz(0.2651) q[1];
rx(0.0848) q[2];
rz(0.2431) q[2];
rx(0.0585) q[3];
rz(0.274) q[3];
rx(0.493) q[4];
rz(0.1234) q[4];
rx(0.4965) q[5];
rz(0.1251) q[5];
crz(0.2128) q[5], q[4];
crz(0.2157) q[4], q[3];
crz(-0.101... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
3edaf02080dd4f2f34de124f69ca8c1c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 20], "expectation_value": -0.4184597542833465, "params": [[-0.0514], [0.0665]], "bitstrings": ["1110101", "1101011"], "total_optimization_steps": 10, "probabilities": [0.008647826860498293, 0.008647826860498295], "optimization_time": 1.960374116897583} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"]} | 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(-0.0514) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0514) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0514) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.0514) q[6];
cx q[2], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
61fc58e7ea5c0b858181cef6a00713e4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [444, 188], "expectation_value": -11.96404197012844, "params": [[-0.0385], [0.07540000000000001]], "bitstrings": ["001000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.0040376799301321065, 0.004876837378608721], "optimization_time": 2.0073394775390625} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | 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(-0.3465) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3465) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3465) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3465) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 21.63305425643921} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[5];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[1];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5bfd79024282ae69c62758a244a2de56 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [5, 9], "expectation_value": -2.1621562925457933, "params": [-0.0025, 0.5236000000000001, -0.002, 0.5322, 0.6773, 0.24880000000000002, 0.6091, 0.3844, 0.0004, 0.4676, 0.6992, 0.191, -0.0033, 0.5269, -0.0056, 0.5202, 0.6158, 0.2713, 0.36100000000000004, 0.4436, 0.0008, 0.4733, 0.6957, 0.1965, -0.0024000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 3 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0025) q[0];
rz(0.5236) q[0];
rx(-0.002) q[1];
rz(0.5322) q[1];
rx(0.6773) q[2];
rz(0.2488) q[2];
rx(0.6091) q[3];
rz(0.3844) q[3];
rx(0.0004) q[4];
rz(0.4676) q[4];
rx(0.6992) q[5];
rz(0.191) q[5];
crz(0.3843) q[5], q[4];
crz(-0.1285) q[4], q[3];
crz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.08216818781359397, "params": [[-0.0329, 0.0049], [0.0373, 0.0051]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.0163930615367138, 0.01648465145291344], "optimization_time": 2.83365535736084} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0164) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0658) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0329) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(0.0164) q[4];
cx q[1], q[4];
cx q[5], q[4];
rz(0.016... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8143ff5038ff2495220c230c47e8a420 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [394, 398], "expectation_value": -45.14057374547315, "params": [[[0.0033, 0.1145], [0.9066000000000001, 0.006200000000000001], [0.655, 0.3038], [-0.0785, 0.4056], [0.6245, -0.15330000000000002], [0.2419, 1.1082], [0.1269, 0.7938000000000001], [0.8679, 1.0967], [1.0995000000000001, 1.098]], [[0.662, 0.2653000... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 14.0 * Z(0) + 3.0 * Z(2) + 9.0 * Z(1) + 1.0 * Z(4) + 8.5 * Z(6) + 10.0 * Z(5) + 8.5 * Z(7) + -6.5 * Z(8) + -13.0 * Z(3) | 15 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0033) q[0];
ry(0.9066) q[1];
ry(0.655) q[2];
ry(-0.0785) q[3];
ry(0.6245) q[4];
ry(0.2419) q[5];
ry(0.1269) q[6];
ry(0.8679) q[7];
ry(1.0995) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
b575860502e0560613ed09a59a899ee7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [215, 223], "expectation_value": -1.9723869855519534, "params": [[-0.0548, -0.0728], [0.062200000000000005, 0.0711]], "bitstrings": ["100101000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.004357266197008304, 0.004540529435909686], "optimization_time": 3.7696871757507324} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100111110", "100100000", "100101110", "100101100", "100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.0822) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.137) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.1096) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.0548) q[5];
cx q[3], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bd9e0113c93c45b06b4996cff164358f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -23.538855007238713, "params": [[[0.002, 3.1588000000000003], [0.0026000000000000003, 0.0032], [0.0029000000000000002, -0.0028], [0.0018000000000000002, 0.0023], [0.0019, 0.002], [0.0022, 0.0021000000000000003], [-1.6504, 0.0023], [0.0026000000000000003, 0.002]]], "bitstrings... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.002) q[0];
ry(0.0026) q[1];
ry(0.0029) q[2];
ry(0.0018) q[3];
ry(0.0019) q[4];
ry(0.0022) q[5];
ry(-1.6504) q[6];
ry(0.0026) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 8} | {"circuits": [], "gradients": []} |
788893f2d0502b688315a8e438b63984 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [510, 255], "expectation_value": -22.12304677843198, "params": [[[0.0043, 0.0071], [0.0033, 2.057], [0.0031000000000000003, 0.002], [0.0018000000000000002, 0.0021000000000000003], [-0.0021000000000000003, 0.0021000000000000003], [0.0014, -0.0026000000000000003], [0.0024000000000000002, 0.002], [0.17950000000... | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 15 | 9 | 3 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0043) q[0];
ry(0.0033) q[1];
ry(0.0031) q[2];
ry(0.0018) q[3];
ry(-0.0021) q[4];
ry(0.0014) q[5];
ry(0.0024) q[6];
ry(0.1795) q[7];
ry(0.8117) 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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e4e902d97ba530f1316e54d3eb408a10 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [683, 939], "expectation_value": -2.2396527030579034, "params": [[[1.5712000000000002, 0.0081, 0.0095, 0.0004], [0.45790000000000003, 0.0027, 1.3362, 0.0091], [1.5994000000000002, 0.0041, 0.001, 0.0066], [0.37410000000000004, -0.011600000000000001, 1.5851000000000002, 0.0082], [-0.0029000000000000002, 0.0075... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) ... | 12 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["00101010100", "10011000010", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5712) q[0];
rz(0.0081) q[0];
ry(0.4579) q[1];
rz(0.0027) q[1];
ry(1.5994) q[2];
rz(0.0041) q[2];
ry(0.3741) q[3];
rz(-0.0116) q[3];
ry(-0.0029) q[4];
rz(0.0075) q[4];
ry(1.0498) q[5];
rz(0.0027) q[5];
ry(0.002) q[6];
rz(0.0031) q[6];
ry(1.057) 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": []} |
-2475574848519700943 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 8], [0, 1, 2, 3, 4, 6, 7, 10], [9, 10, 5, 6], [0, 1, 3, 5, 6], [8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 10], [1, 2, 3, 4, 5, 6, 7, 8, 10]]} | {"states": [1997, 2005], "expectation_value": -1.4686044347133738, "params": [2.1048, 1.0350000000000001, 1.3409, 1.8010000000000002, 1.5571000000000002, 1.5803, 1.5929, 1.5428000000000002, 2.1183, 1.0043, 2.2593, 1.2378, 0.8388, 0.595, 0.8442000000000001, 2.2539000000000002, 1.5086000000000002, 1.6382, 1.6183, 1.5258,... | 0.08571428571428572 * (Z(0) @ Z(3)) + 0.08174603174603176 * (Z(6) @ Z(3)) + 0.11785714285714285 * (Z(6) @ Z(0)) + 0.08174603174603176 * (Z(7) @ Z(3)) + 0.11785714285714287 * (Z(7) @ Z(0)) + 0.19722222222222224 * (Z(7) @ Z(6)) + 0.08174603174603176 * (Z(9) @ Z(3)) + 0.06785714285714287 * (Z(9) @ Z(0)) + 0.08174603174603... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.5071428571428576, -1.5071428571428576, -1.5071428571428576], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5071428571428571, "smallest_bitstrings": ["00000101010", "00000001110", "01010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(2.1048) q[0];
ry(1.3409) q[1];
ry(1.5571) q[2];
ry(1.5929) q[3];
ry(2.1183) q[4];
ry(2.2593) q[5];
ry(0.8388) q[6];
ry(0.8442) q[7];
ry(1.5086) q[8];
ry(1.6183) q[9];
ry(1.7087) q[10];
crx(0.0395) q[10], q[0];
crx(0.2635) q[9], q[10];
crx(0.0102) q[8], 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": []} |
a23c4227147ee94f6ac9a28f6322c5d1 | 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": 7, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target":... | {"states": [256, 288], "expectation_value": -29.777552891686426, "params": [0.0025, 0.8241, 1.7066000000000001, 0.0089, 3.1389, 0.0, 0.0024000000000000002, 0.0058000000000000005, 0.0022, 0.9792000000000001, -1.6263, 0.007500000000000001, 0.0024000000000000002, 0.010100000000000001, 0.0025, 0.01, 0.0025, 0.0032, 0.0025,... | -0.25 * (Z(0) @ Z(4)) + -1.5 * (Z(6) @ Z(4)) + -1.75 * (Z(6) @ Z(0)) + -0.75 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(3)) + -2.75 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z(3)) + -1.75 * (Z(5) @... | 4 | 11 | 1 | {"smallest_eigenvalues": [-30.25, -30.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.25, "smallest_bitstrings": ["10011011111", "11011011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0025) q[0];
rz(0.8241) q[0];
rx(1.7066) q[1];
rz(0.0089) q[1];
rx(3.1389) q[2];
rz(0) q[2];
rx(0.0024) q[3];
rz(0.0058) q[3];
rx(0.0022) q[4];
rz(0.9792) q[4];
rx(-1.6263) q[5];
rz(0.0075) q[5];
rx(0.0024) q[6];
rz(0.0101) q[6];
rx(0.0025) q[7];
rz(0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
ad1ac98d2a374df439432fe378bbbe81 | 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}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [1, 17], "expectation_value": -9.247763711303717, "params": null, "bitstrings": ["1111111110", "1111101110"], "total_optimization_steps": 28, "probabilities": [0.4979185103032572, 0.49984737581126437], "optimization_time": 40.292380571365356} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1111111110", "1111101110"]} | 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(-1.5708) q[8];
ry(-1.5681) q[1];
ry(-1.5486) q[7];
ry(-1.5681) q[2];
ry(-1.5706) q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4417) q[9];
cry(-0.1258) q[9]... | null | {"source": 0, "sink": 9} | {"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(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [4, 5], "expectation_value": -1.9923006384189417, "params": [[[-0.0027, 0.6733], [-0.0022, 0.656], [0.7546, -0.0505], [0.9026000000000001, 0.0013000000000000002], [-0.0029000000000000002, 0.6682], [0.8064, -0.0056]], [[-0.0027, 0.0021000000000000003], [-0.0022, 0.0081], [0.7598, 0.0067], [0.9022, 0.001700000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["111010", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0027) q[0];
rz(0.6733) q[0];
rx(-0.0022) q[1];
rz(0.656) q[1];
rx(0.7546) q[2];
rz(-0.0505) q[2];
rx(0.9026) q[3];
rz(0.0013) q[3];
rx(-0.0029) q[4];
rz(0.6682) q[4];
rx(0.8064) q[5];
rz(-0.0056) q[5];
rx(-0.0027) q[0];
rz(0.0021) q[0];
rx(-0.0022) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 50], "expectation_value": -4.499937480746295, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 28, "probabilities": [1.6356918706669808e-05, 0.9999687410148377], "optimization_time": 17.857802629470825} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-0.1259) q[1], q[2];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[1];
cry(0.1186) q[1], q[4];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
dd2cbc0832de721030b1d6a15eb211d5 | 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": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.12509708766696, "params": [[[-0.0035, 0.3083], [-0.0039000000000000003, -0.0024000000000000002], [0.6439, 0.0048000000000000004], [-0.0002, 0.0041], [0.0006000000000000001, -0.0021000000000000003], [-0.0043, -0.0022], [-0.0028, 0.0035], [-0.0026000000000000003, -0.0023]... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0035) q[0];
ry(-0.0039) q[1];
ry(0.6439) q[2];
ry(-0.0002) q[3];
ry(0.0006) q[4];
ry(-0.0043) q[5];
ry(-0.0028) q[6];
ry(-0.0026) q[7];
ry(-0.0055) q[8];
ry(-0.0025) q[9];
ry(-0.5384) q[10];
ry(-0.0112) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-9064799015260102294 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [2, 3], [0, 1, 4], [5, 6], [3, 5], [0, 6, 7]]} | {"states": [219, 91], "expectation_value": -1.037014456736207, "params": [0.9015000000000001, 0.004, 0.9009, 0.009600000000000001, 0.9042, 0.0012000000000000001, 0.9002, 0.0028, 0.8942, 0.0004, 0.4313, 0.009000000000000001, 0.9078, 0.0013000000000000002, 0.9014000000000001, 0.0094, 0.8967, 0.0025, 0.8921, 0.0019, 0.898... | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["01100101", "10100100", "00011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9015) q[0];
rz(0.004) q[0];
rx(0.9042) q[1];
rz(0.0012) q[1];
rx(0.8942) q[2];
rz(0.0004) q[2];
rx(0.9078) q[3];
rz(0.0013) q[3];
rx(0.8967) q[4];
rz(0.0025) q[4];
rx(0.8986) q[5];
rz(-0.0018) q[5];
rx(0.9089) q[6];
rz(-0.0026) q[6];
rx(0.8973) 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": []} |
0243f685672d1a92e2c82fe9373ddffa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [361, 357], "expectation_value": -94.74929226191885, "params": [[[0.6872, 0.0671], [0.11470000000000001, 0.0839], [0.7001000000000001, 0.10650000000000001], [0.25780000000000003, 0.1376], [0.38070000000000004, 0.1812], [0.5266000000000001, 0.16870000000000002], [0.38130000000000003, 0.17300000000000001], [0.... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(9) @ Z(10)) + 21.0 * Z(2) + -6.5 * Z(1) + 16.5 * Z(3) + 8.0 * Z(4)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6872) q[0];
ry(0.1147) q[1];
ry(0.7001) q[2];
ry(0.2578) q[3];
ry(0.3807) q[4];
ry(0.5266) q[5];
ry(0.3813) q[6];
ry(0.3821) q[7];
ry(0.6729) q[8];
ry(0.0102) q[9];
ry(0.4252) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
ab38e7699e076f39debd51236acd2336 | min_cut | 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": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -4.713836350420004, "params": [[[-0.0114, 0.0405], [0.0024000000000000002, -0.0046], [0.1902, 0.0024000000000000002], [0.0011, -0.0022], [0.0172, 0.07730000000000001], [2.5058000000000002, -0.0086]], [[0.0417, 1.5978], [0.003, -0.037000000000000005], [-0.1928, -0.00170000000000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0114) q[0];
ry(0.0024) q[1];
ry(0.1902) q[2];
ry(0.0011) q[3];
ry(0.0172) q[4];
ry(2.5058) 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(0.0405) q[0];
ry(-0.0046) q[1];
ry(0.0024) q[2];
ry(-0.0022) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -0.4215799585592144, "params": [[[1.2935, 0.0078000000000000005], [1.491, 0.0098], [1.2930000000000001, 0.0046], [1.6963000000000001, 0.0012000000000000001], [1.6896, 0.0014], [1.6949, 0.005200000000000001]]], "bitstrings": ["101000", "111000"], "total_optimization_steps": 170, ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.2935) q[0];
rz(0.0078) q[0];
rx(1.491) q[1];
rz(0.0098) q[1];
rx(1.293) q[2];
rz(0.0046) q[2];
rx(1.6963) q[3];
rz(0.0012) q[3];
rx(1.6896) q[4];
rz(0.0014) q[4];
rx(1.6949) q[5];
rz(0.0052) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 3} | {"circuits": [], "gradients": []} |
ab01514d72b7516b73973ff582495374 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"source": ... | {"states": [255, 1023], "expectation_value": -12.875220124755945, "params": null, "bitstrings": ["1100000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.10523622801364699, 0.347707167713074], "optimization_time": 251.37355089187622} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "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];
cry(1.5708) q[9], q[6];
cry(1.5708) q[6], q[7];
cry(1.2002) q[7], q[9];
cry(-0.1908) q[7], q[6];
ry(-0.4301) q[6];
cry(1.0694) q[8], q[6];
cry(1.5708) q[6], q[5];
cry(1.2948) q[9... | null | {"node": 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];\ncry(1.5708) q[9], 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] = measu... |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 22.76930546760559} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
cry(-1.0343) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[1], q[4];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
646c4ffdec7c3b688313fcfec6df6ea9 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 14], "expectation_value": -0.09793468405432924, "params": [[0.0528, 0.07060000000000001], [-0.0363, -0.0529]], "bitstrings": ["011100", "110001"], "total_optimization_steps": 10, "probabilities": [0.01776125437494642, 0.017761254374946422], "optimization_time": 2.505481719970703} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0264) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0264) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0264) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0264) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [47102, 47070], "expectation_value": -10.098819971084307, "params": [0.7928000000000001, 0.0378, 0.7268, 0.0073, 0.8048000000000001, 0.023700000000000002, 0.7984, 0.0037, 0.8021, 0.0334, 0.787, 0.0045000000000000005, 0.7952, 0.0932, 0.5872, 0.005, 0.8067000000000001, 0.020900000000000002, 0.8017000000000001,... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 6 | 16 | 1 | {"smallest_eigenvalues": [-18.499999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999988, "smallest_bitstrings": ["0100100000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.7928) q[0];
rz(0.0378) q[0];
rx(0.8048) q[1];
rz(0.0237) q[1];
rx(0.8021) q[2];
rz(0.0334) q[2];
rx(0.7952) q[3];
rz(0.0932) q[3];
rx(0.8067) q[4];
rz(0.0209) q[4];
rx(0.8046) q[5];
rz(0.0419) q[5];
rx(0.7994) q[6];
rz(0.0476) q[6];
rx(0.7999) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}, {"id": 3}], "edges": [{"source": 2, "target": 1}, {"source": 2, "target": 0}, {"source": 2, "target": 3}, {"source": 1, "target": 3}, {"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -6.505234138195185, "params": [0.315, -0.0324, -0.8367, 0.002, 0.6474000000000001, 0.0018000000000000002, -0.7338, 0.0012000000000000001, 0.8539, 1.7314, -0.042300000000000004, 0.002, -0.8979, 1.5622, 0.24700000000000003, 0.0026000000000000003, -0.9334, 1.2853, 0.5052, 0.0019,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.315) q[0];
rz(-0.0324) q[0];
rx(0.6474) q[1];
rz(0.0018) q[1];
rx(0.8539) q[2];
rz(1.7314) q[2];
rx(-0.8979) q[3];
rz(1.5622) q[3];
rx(-0.9334) q[4];
rz(1.2853) q[4];
rx(-0.9747) q[5];
rz(1.135) q[5];
rx(0.0029) q[6];
rz(0.9526) q[6];
rx(1.0531) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -21.375243364828734, "params": [[0.0262, 0.0043], [-0.0687, -0.062]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005526481458737849, 0.00649443364843982], "optimization_time": 4.02754282951355} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "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(0.2358) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2358) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2358) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2358) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
40ce55bdea94a0eb027f16094e4d4ded | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [0, 112], "expectation_value": -3.1002507221548252, "params": [0.0926, 0.2711, 0.7044, -0.0017000000000000001, 0.7017, 0.0019, 0.7081000000000001, -0.0194, 0.063, 0.3279, 0.1647, -0.046900000000000004, 0.6828000000000001, 0.004200000000000001, 0.6849000000000001, -0.0166, 0.10010000000000001, 0.2866, 0.7032,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000111", "01111010", "10101110", "10111100", "00111110", "11010011", "10001111", "01011011", "00011111", "10011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0926) q[0];
rz(0.2711) q[0];
rx(0.7044) q[1];
rz(-0.0017) q[1];
rx(0.7017) q[2];
rz(0.0019) q[2];
rx(0.7081) q[3];
rz(-0.0194) q[3];
rx(0.063) q[4];
rz(0.3279) q[4];
rx(0.1647) q[5];
rz(-0.0469) q[5];
rx(0.6828) q[6];
rz(0.0042) q[6];
rx(0.6849) 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": []} |
d9691fcf746f1d3057f71d50dcf6c27b | 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": [680, 682], "expectation_value": -27.21865833766717, "params": [[[0.4032, 0.35660000000000003], [0.19460000000000002, 0.38770000000000004], [0.402, 0.3927], [-0.0013000000000000002, 0.368], [0.4053, 0.1839], [0.1386, 0.393], [0.40190000000000003, 0.3824], [0.14070000000000002, 0.3995], [0.4026, 0.39880000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(9)) + 8.5 * Z(0) + 5.0 * Z(1) + 7.0 * Z(2) + -4.0 * Z(3) + 7.0 * Z(4) + 15.0 * Z(6) + 3.5 * Z(5) + 4.5 * Z(9) + 10.0 * Z(8) + -1... | 15 | 10 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["0101010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4032) q[0];
ry(0.1946) q[1];
ry(0.402) q[2];
ry(-0.0013) q[3];
ry(0.4053) q[4];
ry(0.1386) q[5];
ry(0.4019) q[6];
ry(0.1407) q[7];
ry(0.4026) q[8];
ry(0.3913) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.385441541671753} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
ry(0.7003) q[0];
ry(-0.4549) q[1];
cry(-0.2376) q[1], q[0];
cry(-0.0027) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 81], "expectation_value": -4.996464019451573, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 27, "probabilities": [0.066348734655122, 0.930365857258937], "optimization_time": 27.47988772392273} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -1.5 * Z(1) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110", "0001111", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0343) q[6], q[1];
ry(0.7003) q[6];
ry(-0.4549) q[1];
cry(0.4963) q[2], q[6];
cry(-0.3789) q[2], q[1];
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[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", ... |
d4175c3ce7b82603ce58205ac044a840 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 320], "expectation_value": -10.422852189048013, "params": [0.8731, 0.0015, 0.8049000000000001, 0.005200000000000001, 0.0026000000000000003, 1.6102, 0.0026000000000000003, 0.0085, 0.0024000000000000002, 1.6044, 0.0024000000000000002, 0.0071, -1.3115, -0.0021000000000000003, -0.0731, 0.0043, 0.0025, 1.5209... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000000", "111000111111", "111010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8731) q[0];
rz(0.0015) q[0];
rx(0.0026) q[1];
rz(1.6102) q[1];
rx(0.0024) q[2];
rz(1.6044) q[2];
rx(-1.3115) q[3];
rz(-0.0021) q[3];
rx(0.0025) q[4];
rz(1.5209) q[4];
rx(-0.4235) q[5];
rz(-0.0059) q[5];
rx(0.0023) q[6];
rz(1.566) q[6];
rx(0.0025) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
1032127965810945069 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [8, 5], [2, 3, 5, 7], [0, 5], [0, 1, 4, 6], [8, 1, 2], [0, 8, 6, 7], [8, 0, 1], [1, 5], [2, 3, 4], [1, 6, 7], [4, 7], [1, 2, 3, 7], [8, 1, 6], [0, 1, 3, 6], [8, 0, 4, 6]]} | {"states": [426, 419], "expectation_value": -4.2307976736394854, "params": null, "bitstrings": ["001010101", "001011100"], "total_optimization_steps": 53, "probabilities": [0.0752294013028334, 0.8389203042222645], "optimization_time": 132.00486302375793} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.49999999999999994 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["001011100"]} | 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(1.569) q[1];
ry(1.4745) q[3];
cry(-1.427) q[8], q[5];
ry(1.0777) q[8];
cry(-0.6586) q[1], q[5];
ry(1.338) q[0];
cry(-1.2404) q[8], q[6];
ry(1.0285) q[7];
cry(-1.3225) q[7], q[4];
cry(0.... | 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(1.569) 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] = me... |
6677523700018337187 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 3, 4], [1, 4, 7], [5, 7], [0, 2, 5], [2, 4], [6, 7], [0, 6], [3, 4, 5], [1, 2], [3, 7], [4, 6]]} | {"states": [54, 201], "expectation_value": -0.07141525027202257, "params": [[-0.054900000000000004], [0.060700000000000004]], "bitstrings": ["11001001", "00110110"], "total_optimization_steps": 10, "probabilities": [0.004313600008181048, 0.004350898146457728], "optimization_time": 2.4705145359039307} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(-0.0549) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(-0.0183) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.0183) q[3];
cx q[5], q[3];
cx q[0], q[3];
rz(-0.0183) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x1) q[0];
cx q[5], q[0];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
4be66989cdca0046acb3f5397a7bad21 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [348, 92], "expectation_value": -3.639466149148832, "params": [1.5434, 0.008, -0.0022, 0.008700000000000001, 1.7125000000000001, 0.0001, 1.4727000000000001, 0.0092, 1.7021000000000002, 0.0004, 1.6557000000000002, 0.0043, 1.606, 0.0047, 0.048400000000000006, 0.0054, 0.0434, 0.0067, 0.005200000000000001, 0.000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100010", "011100110", "010001111", "010100111", "110001011", "110100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5434) q[0];
rz(0.008) q[0];
rx(-0.0022) q[1];
rz(0.0087) q[1];
rx(1.7125) q[2];
rz(0.0001) q[2];
rx(1.4727) q[3];
rz(0.0092) q[3];
rx(1.7021) q[4];
rz(0.0004) q[4];
rx(1.6557) q[5];
rz(0.0043) q[5];
rx(1.606) q[6];
rz(0.0047) q[6];
rx(0.0484) 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": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.621051070300542, "params": [[[0.0039000000000000003, 0.3534], [0.0, 0.11510000000000001], [-0.0037, -0.08700000000000001], [0.5964, -0.0031000000000000003], [0.0027, 0.4], [0.6054, 0.004200000000000001]], [[0.0025, 0.3699], [0.0033, 0.24500000000000002], [0.0059, 0.3441], [0.5... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0039) q[0];
rz(0.3534) q[0];
rx(0) q[1];
rz(0.1151) q[1];
rx(-0.0037) q[2];
rz(-0.087) q[2];
rx(0.5964) q[3];
rz(-0.0031) q[3];
rx(0.0027) q[4];
rz(0.4) q[4];
rx(0.6054) q[5];
rz(0.0042) q[5];
rx(0.0025) q[0];
rz(0.3699) q[0];
rx(0.0033) q[1];
rz(0.245) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [124, 122], "expectation_value": -9.089839128541888, "params": [[0.049600000000000005], [-0.0728]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00765499291615581, 0.008437675121186795], "optimization_time": 1.847933053970337} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "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(0.3968) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3968) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3968) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3968) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
fa0deee6a3a631ec5ee1ea77e937f05a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 199], "expectation_value": -74.42595326533348, "params": [-0.0064, -0.4178, 0.3516, 0.4428, 1.0703, 0.0051, 1.0679, 0.13340000000000002, 0.0015, 0.6584, 0.0025, 0.5704, 0.4496, 0.33940000000000003, 1.0642, 0.0049, 1.0662, 0.027200000000000002, 1.0689, -0.0565, 0.0057, -0.37070000000000003, 0.3503, 0.40... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(0) @ Z(7)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 6.5 * Z(2) + 9.5 * Z(1) + -3.5 * Z(4) + 7.0 * Z(3) + -1.0 * Z(5) + 11.0 * Z(6)... | 18 | 10 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1100111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0064) q[0];
rz(-0.4178) q[0];
rx(0.3516) q[1];
rz(0.4428) q[1];
rx(1.0703) q[2];
rz(0.0051) q[2];
rx(1.0679) q[3];
rz(0.1334) q[3];
rx(0.0015) q[4];
rz(0.6584) q[4];
rx(0.0025) q[5];
rz(0.5704) q[5];
rx(0.4496) q[6];
rz(0.3394) q[6];
rx(1.0642) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.20233842224792914, "params": [[0.0026000000000000003, -0.0329, -0.0443, -0.008], [-0.0528, 0.0154, 0.0427, 0.0178]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.017947214404954937, 0.01938380373834022], "optimization_time": 4.939322... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0039) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0013) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.0026) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(-0.0039) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
2bc80a38fd9177dfb96513e589a7a954 | 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": [107, 618], "expectation_value": -55.269116202289304, "params": [[[1.5713000000000001, 0.1917], [-0.0023, 0.1879], [-1.3796000000000002, 1.1456], [0.2691, 1.9903000000000002], [0.4681, -0.4474], [1.9975, 1.147], [1.3954, 1.4902], [1.5696, 1.5663], [1.5664, -0.0876], [1.572, 0.21280000000000002]]], "bitstring... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(9) @ Z(8)) + 1.5 * Z(1) + -1.0 * Z(0) + 13.5 * Z(4) + -5.5 * Z(2) + 16.0 * Z(3) + 4.0 * Z(5) + 6.5 * Z(6) + -3.0 * Z(7) + 8.5 * Z(8) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5713) q[0];
ry(-0.0023) q[1];
ry(-1.3796) q[2];
ry(0.2691) q[3];
ry(0.4681) q[4];
ry(1.9975) q[5];
ry(1.3954) q[6];
ry(1.5696) q[7];
ry(1.5664) q[8];
ry(1.572) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
7448270381232264673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [2, 3, 5, 7], [3, 5, 6], [0, 2, 3, 4, 7], [0, 1, 2, 3], [1, 3, 4, 5], [1, 2, 5, 7], [0, 1, 5], [0, 1, 6, 7]]} | {"states": [174, 175], "expectation_value": -2.0882526749607013, "params": [2.7358000000000002, 0.2919, 0.403, 0.008700000000000001, 0.6029, 1.1363, 0.33290000000000003, 0.004, 2.5985, 0.36060000000000003, 0.5419, 0.0, 0.32180000000000003, 1.7735, 0.3104, 0.009300000000000001, 2.5973, 0.303, 0.5437000000000001, 0.0016,... | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.166666... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.7358) q[0];
rz(0.2919) q[0];
rx(0.6029) q[1];
rz(1.1363) q[1];
rx(2.5985) q[2];
rz(0.3606) q[2];
rx(0.3218) q[3];
rz(1.7735) q[3];
rx(2.5973) q[4];
rz(0.303) q[4];
rx(2.6904) q[5];
rz(0.2494) q[5];
rx(2.5931) q[6];
rz(0.335) q[6];
rx(0.8608) q[7];
rz(0.58... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [1, 3], "expectation_value": -25.311910173648887, "params": [[[0.0108, -0.28150000000000003], [0.11750000000000001, -0.25570000000000004], [0.14730000000000001, 0.24000000000000002], [0.13040000000000002, 0.25], [0.0567, 0.273], [0.5974, -0.00030000000000000003], [0.6011000000000001, 0.0001]], [[0.0064, -0.2... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0108) q[0];
rz(-0.2815) q[0];
rx(0.1175) q[1];
rz(-0.2557) q[1];
rx(0.1473) q[2];
rz(0.24) q[2];
rx(0.1304) q[3];
rz(0.25) q[3];
rx(0.0567) q[4];
rz(0.273) q[4];
rx(0.5974) q[5];
rz(-0.0003) q[5];
rx(0.6011) q[6];
rz(0.0001) q[6];
rx(0.0064) q[0];
rz(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
a7f4483aef8d784b8eb74cfa73b44512 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [31, 30], "expectation_value": -3.2429785472750505, "params": [0.0454, -0.0379, 0.1411, -0.0236, 0.22760000000000002, 0.0971, 0.15960000000000002, 0.10020000000000001, 0.2912, -0.0057, 0.2912, -0.0083, 0.29810000000000003, -0.0001, 0.30160000000000003, -0.0064, 0.30660000000000004, -0.0008, 0.3012, -0.0076, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 6 | 8 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["11101000", "10100011", "11010001", "10101010", "11100001", "11011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0454) q[0];
rz(-0.0379) q[0];
rx(0.2276) q[1];
rz(0.0971) q[1];
rx(0.2912) q[2];
rz(-0.0057) q[2];
rx(0.2981) q[3];
rz(-0.0001) q[3];
rx(0.3066) q[4];
rz(-0.0008) q[4];
rx(0.3025) q[5];
rz(-0.0012) q[5];
rx(0.3) q[6];
rz(0.0032) q[6];
rx(0.2683) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
91b3425767d7686611171398f417493f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 4, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.9779254182177244, "params": [[-0.0847], [0.0785]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0019081957589870014, 0.001944095360420023], "optimization_time": 3.2748172283172607} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(9)) + -1.25 * (Z(3) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[0];
rz(0.0423) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0847) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.2117) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.1694) 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] 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;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 26.775187969207764} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(1.5681) q[4];
cry(-1.5681) q[6], q[0];
ry(1.1964) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[3];
cry(-0.5985) q[4], q[0];
cry(-1.5658) q[4], q[2];
cry(0.2807) q[4], q[6];
ry(-0.1495) 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(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 391.9347755908966} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5709) q[10];
ry(1.5708) q[7];
cry(1.5486) q[2], q[5];
cry(1.5158) q[9], q[3];
cry(1.1598) q[4], q[9];
cry(1.0561) q[6], q[2];
cry(-1.5264) q[10], q[0];
ry(... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\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];... |
c11cd43c1b3d47ef5d545f6dc676afc9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [148, 156], "expectation_value": -5.592243747064095, "params": [[[0.7846000000000001, 0.0038, 0.006900000000000001, 0.001], [-0.011300000000000001, 0.5465, -0.0005, 0.0039000000000000003], [0.0064, 0.0349, 0.0097, 0.0385], [0.5665, 0.0008, 0.5613, 0.006900000000000001], [-0.19640000000000002, -0.0106, 0.0092... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100011", "01110100", "01100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7846) q[0];
rz(0.0038) q[0];
ry(-0.0113) q[1];
rz(0.5465) q[1];
ry(0.0064) q[2];
rz(0.0349) q[2];
ry(0.5665) q[3];
rz(0.0008) q[3];
ry(-0.1964) q[4];
rz(-0.0106) q[4];
ry(0.6319) q[5];
rz(-0.0123) q[5];
ry(-0.0054) q[6];
rz(-0.4698) q[6];
ry(0.0009) 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": []} |
5554174506106622924 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 5], [1, 4, 7], [0, 1, 3, 6], [8, 3, 5, 6], [8, 0], [8, 4, 6], [4, 5, 6], [8, 2]]} | {"states": [311, 374], "expectation_value": -2.572572634637041, "params": null, "bitstrings": ["011001000", "010001001"], "total_optimization_steps": 53, "probabilities": [0.05444937029312734, 0.9053798177617359], "optimization_time": 84.43757796287537} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333334, "smallest_bitstrings": ["010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.4977) q[6];
cry(-0.9726) q[2], q[8];
ry(1.2992) q[0];
ry(0.7681) q[2];
cry(-0.8562) q[0], q[8];
cry(0.6608) q[6], q[2];
ry(1.1812) q[4];
cry(-0.1981) q[6], q[8];
cry(0.237) q[2], q[0]... | 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(1.4977) 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] = m... |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.7828530281549609, "params": [[-0.056, -0.0505, -0.052000000000000005, -0.0199], [0.0737, 0.0625, 0.06470000000000001, 0.0539]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01693501463066831, 0.01900468714472657], "optimization_ti... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.028) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.028) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.056) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.084) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3c6a0f75571e718d8fbaf4d718e39505 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.34116786564909296, "params": [[0.028900000000000002, -0.0357, -0.0594], [-0.0582, -0.0126, 0.0584]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.009339372329627796, 0.009516507690770256], "optimization_time": 4.785599231719971} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["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[1], q[0];
rz(0.0289) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0289) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0289) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0289) q[3];
cx q[2], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
-4186604412911688631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [4, 5, 7], [0, 3, 5, 6], [1, 4, 6], [6, 7], [0, 1, 6], [0, 1, 4], [3, 4], [3, 7], [0, 1, 5], [1, 3], [0, 2, 4]]} | {"states": [158, 205], "expectation_value": -3.1109570952677896, "params": null, "bitstrings": ["01100001", "00110010"], "total_optimization_steps": 54, "probabilities": [0.07966370033110168, 0.7722439841616359], "optimization_time": 95.31286287307739} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2500000000000018, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(1.5651) q[0];
ry(1.2292) q[4];
cry(-1.3922) q[7], q[3];
ry(0.8236) q[7];
cry(-0.5593) q[4], q[3];
cry(-1.1271) q[7], q[6];
cry(1.4516) q[7], q[1];
cry(0.3241) q[0], q[7];
cry(-0.4518) q[1], q[6... | 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(1.5651) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
b305367bc2e2ddaa066fe8b84210618a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -18.803625805892416, "params": [[0.044000000000000004, -0.037000000000000005, -0.056], [-0.0714, -0.0063, 0.0609]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.012692304425474867, 0.014670778117046064], "optimization_time": 7.51... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | 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(0.352) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.352) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.352) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.352) q[3];
cx q[1], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [88, 35], "expectation_value": -1.019223359670978, "params": [[-0.06810000000000001, -0.0524, -0.055600000000000004], [0.0761, 0.068, 0.0636]], "bitstrings": ["0100111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.014181328448427292, 0.014192160543378136], "optimization_time": 4.680770635... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "0100111", "1100101", "1001101"]} | 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(-0.0681) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0681) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0681) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(-0.0681) q[3];
cx q[1], q[3];
cx q[6], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
756d3d75bc595261d2d71e6ce1da2290 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.644405314887349, "params": [0.08710000000000001, 0.1182, 0.0925, 0.1217, 0.29860000000000003, 0.044700000000000004, 0.3039, 0.019200000000000002, -0.0025, 0.2356, -0.0013000000000000002, 0.234, 0.30610000000000004, 0.0023, 0.3017, -0.0032, -0.0033, 0.21030000000000001, -0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(1)) + ... | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0871) q[0];
rz(0.1182) q[0];
rx(0.2986) q[1];
rz(0.0447) q[1];
rx(-0.0025) q[2];
rz(0.2356) q[2];
rx(0.3061) q[3];
rz(0.0023) q[3];
rx(-0.0033) q[4];
rz(0.2103) q[4];
rx(0.0024) q[5];
rz(0.2022) q[5];
rx(0.303) q[6];
rz(0.0002) q[6];
crz(0.1178) q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e2a1dd8d1e083192a6b4cbfd3d9c358e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [66, 70], "expectation_value": -3.3182099597496357, "params": [[0.6561, -0.0823, 0.003, 0.0324, 0.4753, 0.8046000000000001, 0.0024000000000000002], [0.6575000000000001, 0.023100000000000002, 0.0009000000000000001, 0.0059, -0.2142, 0.6592, 0.002], [0.6456000000000001, -0.1668, 0.0032, 0.0161, 0.7072, 0.797600... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 10 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0111001", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.6561) q[0];
ry(-0.0823) q[1];
ry(0.003) q[2];
ry(0.0324) q[3];
ry(0.4753) q[4];
ry(0.8046) q[5];
ry(0.0024) 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];
cz q[0], q[6];
ry(0.6575) q[0];
ry(0.0231) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [25, 28], "expectation_value": -4.499937482213634, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 24, "probabilities": [1.6356118803656356e-05, 0.9999687418097178], "optimization_time": 14.551012516021729} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | 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(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[2], q[1];
cry(0.1216) q[1], q[3];
cry(0.1186) q[3], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
7e345cf111467ff8f80e9eb960cc5714 | 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": [760, 728], "expectation_value": -56.66995860285678, "params": [2.1949, 0.0039000000000000003, 1.1682000000000001, 0.0019, 2.2094, 0.0047, 2.2066, 0.0032, 1.5315, 0.0083, 2.1969000000000003, 0.0082, 2.2021, 0.006500000000000001, 0.002, 0.0079, -0.0047, 0.0058000000000000005, -0.0017000000000000001, 0.0073, 0... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(2)) + 17.5 * Z(2) + 10.0 * Z(0) + 1.5 * Z(1) + 14.5 * Z(5) + 4.0 * Z(4) + 9.5 * Z(3) + -5.5 * Z(7) + -1.5 * Z(6) + -4.0 * Z(8) +... | 18 | 10 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["0100100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.1949) q[0];
rz(0.0039) q[0];
rx(1.1682) q[1];
rz(0.0019) q[1];
rx(2.2094) q[2];
rz(0.0047) q[2];
rx(2.2066) q[3];
rz(0.0032) q[3];
rx(1.5315) q[4];
rz(0.0083) q[4];
rx(2.1969) q[5];
rz(0.0082) q[5];
rx(2.2021) q[6];
rz(0.0065) q[6];
rx(0.002) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 21.915752172470093} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "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];
ry(1.5706) q[5];
cry(1.5486) q[5], q[1];
ry(1.5681) q[6];
ry(-1.5706) q[0];
ry(-1.5486) q[3];
cry(-1.5681) q[5], q[4];
cry(-0.0222) q[6], q[3];
ry(0.0222) q[1];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -3.9155566914064512, "params": [[-0.0641, -0.0379, -0.040400000000000005], [0.07680000000000001, 0.058300000000000005, 0.053500000000000006]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.03209740098739842, 0.03398730050043589], "optimi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2244) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2244) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2244) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2564) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
7d8c120b950f82240c2b01ae7c753ace | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [438, 247], "expectation_value": -8.83676530958731, "params": null, "bitstrings": ["001001001", "100001000"], "total_optimization_steps": 82, "probabilities": [0.1203732110844705, 0.5562330147115188], "optimization_time": 136.79744148254395} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"]} | 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(-1.5709) q[5];
ry(1.5706) q[1];
cry(1.5706) q[7], q[4];
cry(1.5681) q[8], q[2];
ry(0.6794) q[7];
cry(1.4745) q[7], q[6];
cry(0.3215) q[6], q[4];
cry(0.5136) q[4], q[7];
cry(1.4966) q[7]... | 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(-1.5709) 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] = ... |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 13.996546745300293} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | 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(1.5681) q[3];
ry(1.5486) q[5];
cry(-1.5706) q[5], q[0];
cry(-1.5486) q[5], q[2];
ry(-1.4447) q[4];
cry(-0.119) q[3], q[4];
cry(-0.0223) q[3], q[2];
cry(0.0112) q[3], q[5];
cry(-0.0002) q[3], ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 29.8393874168396} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[1];
ry(1.5708) q[3];
cry(1.0097) q[3], q[2];
ry(0.5186) q[1];
cry(0.4501) q[1], q[2];
cry(1.5599) q[1], q[5];
cry(-1.5702) q[5], q[0];
ry(-1.5499) q[4];
cry(-0.0881) q[3], q[5];
cry(0.0958) 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];\ncry(1.5708) q[2], 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 \... |
e8a95cce97a2a99e5fb4ca921097e594 | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [119, 247], "expectation_value": -8.346608042375438, "params": null, "bitstrings": ["1110001000", "1100001000"], "total_optimization_steps": 100, "probabilities": [0.42498841317131325, 0.42576355346173844], "optimization_time": 226.57225346565247} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["1110011000", "1110001000", "1100001000"]} | 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(1.5706) q[4];
cry(1.5708) q[4], q[5];
cry(1.5681) q[6], q[1];
cry(1.5486) q[4], q[7];
ry(1.5681) q[3];
cry(1.4449) q[4], q[8];
cry(1.548) q[8], q[9];
cry(-1.568) q[9], q[0];
r... | null | {"source": 0, "sink": 9} | {"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(1.5706) 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]... |
6f8c6ff9996b89cfcf990ffd7b6839cc | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [135, 191], "expectation_value": -1.360017779410074, "params": [[0.0776], [-0.06720000000000001]], "bitstrings": ["1101111000", "1101000000"], "total_optimization_steps": 10, "probabilities": [0.0016322203335620781, 0.0017263989076255694], "optimization_time": 1.8052067756652832} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"]} | 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(-0.3104) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.3104) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1552) q[3];
cx q[0], q[3];
cx q[5], q[4];
rz(-0.2328) q[4];
cx... | 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[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[1], q[3];
rz(x0) q[3];
cx q[1]... | {"node": 2} | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | kclique | adaptive_vqe | {"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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [38, 7], "expectation_value": -12.588143650301648, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10773790860779595, 0.6115449305490317], "optimization_time": 81.64960980415344} | 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 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[0];
cry(-1.5708) q[5], q[3];
cry(-1.5707) q[4], q[2];
ry(1.103) q[4];
cry(-1.5708) q[6], q[1];
ry(1.0124) q[5];
ry(-0.4863) q[2];
ry(0.7256) q[6];
ry(-0.4809) q[3];
ry(-0.2806) q[1];
cry(0.3... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
52889798901663635 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [4, 6], [4, 7], [5, 6], [2, 6], [0, 4], [6, 7], [3, 5], [3, 7], [0, 6], [1, 2], [2, 7], [2, 5], [0, 1], [5, 7], [1, 4], [2, 3]]} | {"states": [114, 83], "expectation_value": -3.1428097497124727, "params": null, "bitstrings": ["10001101", "10101100"], "total_optimization_steps": 67, "probabilities": [0.0545789667416972, 0.7804303220475919], "optimization_time": 118.18439221382141} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011110", "10101100", "01010011", "10100101", "01011010", "10100001"]} | 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[7], q[2];
cry(-1.0342) q[6], q[0];
ry(1.0293) q[6];
cry(1.4052) q[6], q[1];
cry(-0.9035) q[1], q[0];
cry(-0.7688) q[6], q[2];
ry(1.3261) q[3];
cry(-1.4413) q[6], q[5];
cry(0.2379) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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... |
4882903103032644348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 6], [1, 2, 7], [8, 1, 5, 7], [1, 3, 4, 7], [8, 2, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 5, 7, 8], [0, 1, 4, 8], [8, 1, 4, 6]]} | {"states": [251, 249], "expectation_value": -1.3981226718898068, "params": [0.7753, 0.4454, 0.7752, 0.0068000000000000005, 0.7962, 0.4415, 0.7887000000000001, 0.0059, 1.3604, -0.003, 1.3521, 0.0018000000000000002, 1.325, -0.0004, 1.3274000000000001, 0.0051, 1.3366, -0.0081, 1.339, 0.0099, 1.3058, 0.10650000000000001, 1... | 0.3833333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.19999999999999998 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(8)) + 0.2833333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7... | 7 | 9 | 1 | {"smallest_eigenvalues": [-2.149999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666667, "smallest_bitstrings": ["100000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7753) q[0];
rz(0.4454) q[0];
rx(0.7962) q[1];
rz(0.4415) q[1];
rx(1.3604) q[2];
rz(-0.003) q[2];
rx(1.325) q[3];
rz(-0.0004) q[3];
rx(1.3366) q[4];
rz(-0.0081) q[4];
rx(1.3058) q[5];
rz(0.1065) q[5];
rx(0.7526) q[6];
rz(-0.4287) q[6];
rx(0.7665) 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": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [440, 442], "expectation_value": -8.000817249414732, "params": [0.0025, 0.0022, 3.1445000000000003, 0.0032, 3.1445000000000003, 0.0022, 0.0031000000000000003, 0.009000000000000001, 3.1447000000000003, 0.0061, 3.1443000000000003, 0.001, 3.1442, 0.006500000000000001, -0.0024000000000000002, 0.00360000000000000... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 18 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0025) q[0];
rz(0.0022) q[0];
rx(3.1445) q[1];
rz(0.0032) q[1];
rx(3.1445) q[2];
rz(0.0022) q[2];
rx(0.0031) q[3];
rz(0.009) q[3];
rx(3.1447) q[4];
rz(0.0061) q[4];
rx(3.1443) q[5];
rz(0.001) q[5];
rx(3.1442) q[6];
rz(0.0065) q[6];
rx(-0.0024) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
3f554556cd0e6dd6e1505b69025840b5 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [178, 186], "expectation_value": -6.091912737354164, "params": [[[0.0038, -0.5466], [0.9955, -0.0016], [-0.0039000000000000003, -0.4713], [0.9851000000000001, -0.004], [1.0008000000000001, 0.0007], [0.5995, -0.0029000000000000002], [0.0017000000000000001, -0.5902000000000001], [0.9994000000000001, -0.0034000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(7) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0038) q[0];
rz(-0.5466) q[0];
rx(0.9955) q[1];
rz(-0.0016) q[1];
rx(-0.0039) q[2];
rz(-0.4713) q[2];
rx(0.9851) q[3];
rz(-0.004) q[3];
rx(1.0008) q[4];
rz(0.0007) q[4];
rx(0.5995) q[5];
rz(-0.0029) q[5];
rx(0.0017) q[6];
rz(-0.5902) q[6];
rx(0.9994) 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": []} |
-7870954329946887005 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 7], [0, 2, 3, 4], [1, 4, 6, 9, 11], [0, 1, 3, 4, 7], [0, 1, 2, 4, 8], [0, 11, 4, 6], [2, 4, 6], [2, 11, 4], [0, 3, 5, 8, 10], [11, 2, 3], [1, 2, 3, 7, 10], [0, 2, 10, 7], [9, 10], [1, 6, 7, 8, 10], [8, 2, 7], [1, 3, 5, 6, 11], [0, 2, 5, 9, 11]]} | {"states": [3627, 3691], "expectation_value": -3.367357229280459, "params": [[[3.1617, 0.0028], [3.1605000000000003, 0.0018000000000000002], [2.8858, 0.0005], [1.1739000000000002, 0.0066], [1.1096000000000001, 0.0016], [1.6321, 0.0043], [3.1592000000000002, 0.0081], [0.8629, 0.0012000000000000001], [3.1599, 0.003100000... | 0.5 * (Z(5) @ Z(7)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.1 * (Z(0) @ Z(5)) + 0.3 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.1 * (Z(3) @ Z(7)) + 0.1 * (Z(3) @ Z(5)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(7)) + 0.26666666666666666 * (Z(4) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.4], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2333333333333325, "smallest_bitstrings": ["000110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1617) q[0];
rz(0.0028) q[0];
rx(3.1605) q[1];
rz(0.0018) q[1];
rx(2.8858) q[2];
rz(0.0005) q[2];
rx(1.1739) q[3];
rz(0.0066) q[3];
rx(1.1096) q[4];
rz(0.0016) q[4];
rx(1.6321) q[5];
rz(0.0043) q[5];
rx(3.1592) q[6];
rz(0.0081) q[6];
rx(0.8629) 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": []} |
f619afa25c1921f996d128a1dfefef72 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [30, 27], "expectation_value": -3.4998990606636267, "params": null, "bitstrings": ["100001", "100100"], "total_optimization_steps": 25, "probabilities": [1.6414427502403502e-05, 0.9999303742828826], "optimization_time": 13.562744140625} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[5];
cry(0.1188) q[2], q[4];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c0867fa83c27790e640a8471c35b357b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [2047, 1023], "expectation_value": -18.52386807615808, "params": [[[-1.6207, 0.0016], [0.0025, 0.001], [0.0024000000000000002, 0.0067], [0.0023, 0.0092], [0.0023, 0.0046], [0.0023, 0.0025], [0.0023, 0.0013000000000000002], [0.0023, 0.0051], [0.0021000000000000003, 0.0085], [-0.0027, 0.0023], [3.1603000000000... | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 2 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-1.6207) q[0];
rz(0.0016) q[0];
rx(0.0025) q[1];
rz(0.001) q[1];
rx(0.0024) q[2];
rz(0.0067) q[2];
rx(0.0023) q[3];
rz(0.0092) q[3];
rx(0.0023) q[4];
rz(0.0046) q[4];
rx(0.0023) q[5];
rz(0.0025) q[5];
rx(0.0023) q[6];
rz(0.0013) q[6];
rx(0.0023) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 1} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -18.79335628453542, "params": [[-0.0349, 0.008400000000000001], [0.07780000000000001, 0.0683]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011291172076629694, 0.012166772238733529], "optimization_time": 4.074785232543945} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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(-0.2792) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2792) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.2792) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(-0.2792) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-710647696864117693 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [0, 1, 3, 5], [2, 3]]} | {"states": [22, 23], "expectation_value": -1.1031099376313938, "params": null, "bitstrings": ["101001", "101000"], "total_optimization_steps": 32, "probabilities": [0.18768000066143703, 0.25037565016230623], "optimization_time": 27.843244552612305} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.125 * Z(1) + 0.125 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2500000000000004, -1.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["101000", "011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[4], q[2];
ry(1.2415) q[3];
cry(-0.5023) q[3], q[2];
ry(1.1385) q[4];
ry(-0.4317) q[2];
cry(0.3491) q[3], q[4];
cry(0.3004) q[4], q[3];
cry(-0.0977) q[5], q[2];
ry(0.2102) q[1];
cry(0.1979) q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
7ddda694e653fb504404310bcf4fe402 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [39, 103], "expectation_value": -57.081748406993555, "params": [[[0.7648, -0.2008], [-0.2467, -0.1864], [0.7042, 0.0683], [0.10640000000000001, 0.0086], [0.0246, 0.019], [0.9366000000000001, 0.2711], [0.2696, 0.48200000000000004], [0.6838000000000001, 0.3925]], [[0.6248, -0.0129], [-0.5930000000000001, 0.059... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * Z(0) + 1.0 * Z(1) + 9.0 * Z(2) + -2.0 * Z(3) + 7.5 * Z(4) + 14.5 * Z(7) + 15.0 * Z(5) + 12.5 * Z(6) | 15 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7648) q[0];
ry(-0.2467) q[1];
ry(0.7042) q[2];
ry(0.1064) q[3];
ry(0.0246) q[4];
ry(0.9366) q[5];
ry(0.2696) q[6];
ry(0.6838) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
f36e7085d113ead03bd51a9e3abaacd0 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [425, 417], "expectation_value": -7.285138819039634, "params": [0.2967, 0.29650000000000004, 0.27790000000000004, 0.2773, -0.0001, 0.0027, 0.3057, 0.30110000000000003, -0.0029000000000000002, 0.0011, 0.11850000000000001, 0.1217, 0.0035, -0.0012000000000000001, 0.0027, -0.001, 0.3027, 0.3048, 0.3027, 0.3023, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["001011101", "001011110", "011010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2967) q[0];
ry(0.2779) q[1];
ry(-0.0001) q[2];
ry(0.3057) q[3];
ry(-0.0029) q[4];
ry(0.1185) q[5];
ry(0.0035) q[6];
ry(0.0027) q[7];
ry(0.3027) q[8];
crz(-0.0106) q[8], q[0];
crz(0.1772) q[7], q[8];
crz(-0.1266) q[6], q[7];
crz(0.0536) q[5], q[6];
crz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-7841320215262725219 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 5], [0, 2], [1, 2, 4, 5], [0, 3, 5]]} | {"states": [53, 29], "expectation_value": -1.3585394088514633, "params": null, "bitstrings": ["001010", "100010"], "total_optimization_steps": 30, "probabilities": [0.044827069739978596, 0.9113836987606587], "optimization_time": 26.5322265625} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333337, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4074) q[5];
cry(-1.028) q[2], q[0];
ry(0.7791) q[2];
cry(-0.524) q[5], q[0];
cry(0.4951) q[5], q[2];
ry(-0.3549) q[0];
cry(0.7097) q[2], q[3];
ry(0.5641) q[1];
ry(0.4195) q[3];
cry(0.4162) q[2], q[1];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 27.51710867881775} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"]} | 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[4];
ry(-1.4449) q[6];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[5];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
cry(-0.1259) q[5], q[2];
ry(-0.4578) q[1];
cry(0.4969) q[3], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
edc3bac605c0e8fb4f027513dd92e8fb | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 117], "expectation_value": -0.062374177509871565, "params": [[0.0777], [-0.07780000000000001]], "bitstrings": ["00110001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.00438115554912232, 0.004381155549122323], "optimization_time": 4.514728546142578} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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(0.0389) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0389) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0389) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0389) q[0];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 52.698797941207886} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 15 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[2];
ry(0.7848) q[5];
cry(-1.5708) q[4], q[1];
ry(0.8233) q[4];
ry(-0.4144) q[0];
ry(-0.3107) q[1];
cry(0.4137) q[5], q[3];
ry(-0.2673) q[2];
cry(0.35... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
8812787084059394738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 3], [8, 6], [10, 12], [0, 1, 4, 5, 7, 8, 11], [2, 7]]} | {"states": [7106, 7138], "expectation_value": -1.5490461104128987, "params": [[[1.5683, 1.1766], [1.9959, 0.1275], [0.3411, 0.4072], [-1.5841, 1.5675000000000001], [1.9997, 1.5679], [-0.0027, 1.0415], [0.0024000000000000002, -0.0115], [-1.5672000000000001, 1.5703], [-0.0027, 1.5659], [-0.0058000000000000005, 0.1106], [... | 0.5 * (Z(12) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(2) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(11)) + 0.023809523809523808 * (Z(1) @ Z(11)) + 0.023809523809523808 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(11)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.0238095238095... | 15 | 13 | 1 | {"smallest_eigenvalues": [-2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.19047619047... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5683) q[0];
ry(1.9959) q[1];
ry(0.3411) q[2];
ry(-1.5841) q[3];
ry(1.9997) q[4];
ry(-0.0027) q[5];
ry(0.0024) q[6];
ry(-1.5672) q[7];
ry(-0.0027) q[8];
ry(-0.0058) q[9];
ry(-0.0198) q[10];
ry(-0.2705) q[11];
ry(1.5698) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5191363103344540931 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 4, 5], [2, 4], [0, 3], [3, 4], [2, 5, 7], [1, 6], [0, 4, 5], [0, 8], [0, 2, 7], [3, 7], [8, 1, 3], [0, 6]]} | {"states": [109, 410], "expectation_value": -1.6833911600960232, "params": [[0.37620000000000003], [-0.3579]], "bitstrings": ["110010010", "001100101"], "total_optimization_steps": 40, "probabilities": [0.016774822057730926, 0.01756610762097391], "optimization_time": 1.8810296058654785} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.166666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["001100101"]} | 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(0.1254) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1254) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2508) q[2];
cx q[0], q[2];
cx q[1], q[8];
rz(0.1254) q[8];
cx q[1], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | null | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.15032376854445745, "params": [[0.0655], [-0.055]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008895012656259848, 0.009015908237016292], "optimization_time": 3.185805320739746} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "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];
cx q[1], q[0];
rz(-0.0655) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.131) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0983) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.0655) q[3];
cx q[2], q[3];
cx q[2], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
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