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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5335046281359263337 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6], [0, 1, 2, 3], [1, 2, 3, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 4, 6]]} | {"states": [183, 215], "expectation_value": -0.6343929445441032, "params": [[-0.46630000000000005], [0.4479]], "bitstrings": ["01001000", "00101000"], "total_optimization_steps": 50, "probabilities": [0.009468460378178473, 0.009468460378178481], "optimization_time": 13.933196306228638} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.07380952380952381 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.173809523809524, -1.173809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1738095238095236, "smallest_bitstrings": ["00010010", "00101000"]} | 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(-0.1243) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1466) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1243) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0688) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
6960024821437873846 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5], [2, 4], [10, 6], [3, 4], [10, 2], [0, 3], [8, 10], [8, 4], [9, 7], [6, 7], [8, 1], [1, 5], [0, 8], [0, 7], [9, 2], [9, 3], [10, 5], [3, 7], [0, 5], [5, 7], [8, 2], [0, 2]]} | {"states": [948, 436], "expectation_value": -6.084143400626195, "params": [[[0.0026000000000000003, -0.157, 0.004200000000000001, 0.0058000000000000005], [-0.0024000000000000002, 0.157, 1.6697000000000002, 0.0027], [1.5686, -0.0016, 1.5684, 0.0094], [1.574, -0.0033, 1.5728, 0.0067], [-0.0051, -0.8591000000000001, -0.00... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z... | 11 | 11 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110100", "11001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0026) q[0];
rz(-0.157) q[0];
ry(-0.0024) q[1];
rz(0.157) q[1];
ry(1.5686) q[2];
rz(-0.0016) q[2];
ry(1.574) q[3];
rz(-0.0033) q[3];
ry(-0.0051) q[4];
rz(-0.8591) q[4];
ry(0.0013) q[5];
rz(0.6049) q[5];
ry(1.5739) q[6];
rz(0.0029) q[6];
ry(1.5707) 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": []} |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | 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": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [7999, 8063], "expectation_value": -5.825866798439952, "params": [-0.0026000000000000003, 0.007500000000000001, -0.0019, 0.0005, 1.7011, 0.0029000000000000002, 1.7099, 0.0006000000000000001, 1.7082000000000002, 0.0001, 1.7104000000000001, 0.0098, 1.7086000000000001, 0.0018000000000000002, 1.5047000000000001,... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 18 | 15 | 1 | {"smallest_eigenvalues": [-23.499999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999865, "smallest_bitstrings": ["110000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0026) q[0];
rz(0.0075) q[0];
rx(-0.0019) q[1];
rz(0.0005) q[1];
rx(1.7011) q[2];
rz(0.0029) q[2];
rx(1.7099) q[3];
rz(0.0006) q[3];
rx(1.7082) q[4];
rz(0.0001) q[4];
rx(1.7104) q[5];
rz(0.0098) q[5];
rx(1.7086) q[6];
rz(0.0018) q[6];
rx(1.5047) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a99f86c3cb9c5f9afbf3a51c1f63c621 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -1.6673472633571214, "params": [[-0.0772], [0.07780000000000001]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0020971146523037537, 0.002117286884198899], "optimization_time": 4.492471218109131} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "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[2], q[0];
rz(0.1158) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.2316) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0772) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0772) q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
79ecc4847db5af37782a1c862369b0e5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.564321143296686, "params": [[-0.051000000000000004], [0.0659]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001311004544063541, 0.001328682762105783], "optimization_time": 1.7255299091339111} | -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "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[4], q[2];
rz(0.204) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.204) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.153) q[5];
cx q[2], q[5];
cx q[4], q[3];
rz(0.204) q[3];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
... | {"node": 1} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [9, 13], "expectation_value": -2.7421302019969787, "params": [[0.1738], [-0.1774]], "bitstrings": ["11110110", "11110010"], "total_optimization_steps": 20, "probabilities": [0.008667442878577404, 0.008756588026793133], "optimization_time": 3.1028032302856445} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.1738) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.1738) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.139) q[1];
cx q[0], q[1];
cx q[4], q[5];
rz(0.1738) q[5];
cx q[4], q[5];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
629064d27778679294f16fb68c627d78 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.1086920998379155, "params": [[-0.0516, -0.0434, -0.0303, -0.07150000000000001], [0.06720000000000001, 0.058800000000000005, 0.0419, 0.065]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009815029770220182, 0.010639199462519917],... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0258) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0258) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0258) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0516) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3668334392047958714 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [2, 3, 4], [4, 6], [3, 5], [0, 1, 5], [1, 6], [2, 6], [2, 5], [0, 3], [1, 2], [0, 2]]} | {"states": [25, 102], "expectation_value": -0.08331266782395741, "params": [[0.0737], [-0.057800000000000004]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.0086273199932063, 0.008723046169746], "optimization_time": 0.6544930934906006} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["0011001"]} | 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[6], q[0];
rz(0.0737) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.0737) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(0.0737) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0737) q[3];
cx q[0], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
5fe39a57decb5f0d46a192b267ce6116 | 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": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -30.009577482526417, "params": [[[-0.0188, 0.0007], [0.0017000000000000001, 0.0023], [0.0025, 0.0031000000000000003], [0.0142, -0.0028], [0.0064, -0.0025], [0.007, -0.0026000000000000003], [0.0041, -0.0025], [0.0044, 0.0032], [-0.0014, -0.0031000000000000003], [0.0025, 0.00... | -0.75 * (Z(0) @ Z(9)) + -2.5 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(11) @ Z(10)) + -1.75 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(3) @ Z(9)) + 1.75 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(10)) + -0.... | 15 | 12 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0188) q[0];
ry(0.0017) q[1];
ry(0.0025) q[2];
ry(0.0142) q[3];
ry(0.0064) q[4];
ry(0.007) q[5];
ry(0.0041) q[6];
ry(0.0044) q[7];
ry(-0.0014) q[8];
ry(0.0025) q[9];
ry(-1.5598) q[10];
ry(0.0197) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d6547d8d1b2ca3acd846543e0c7a6068 | 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": [342, 348], "expectation_value": -97.97596813428017, "params": [[[1.5727, 0.0028], [1.5702, -0.0024000000000000002], [0.0024000000000000002, -0.0032], [0.8629, 1.5124], [-0.0048000000000000004, 1.6735], [0.1908, 1.5678], [0.0057, 1.5730000000000002], [1.7810000000000001, 0.4968], [-0.38430000000000003, 0.453... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 5.5 * Z(1) + 0.5 * Z(2) + -4.5 * Z(4) + 5.5 * Z(3) + 23.0 * Z(6) + 10.5 * Z(8)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5727) q[0];
ry(1.5702) q[1];
ry(0.0024) q[2];
ry(0.8629) q[3];
ry(-0.0048) q[4];
ry(0.1908) q[5];
ry(0.0057) q[6];
ry(1.781) q[7];
ry(-0.3843) q[8];
ry(1.5095) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -6.623317291554706, "params": [0.0033, 0.0078000000000000005, 0.0026000000000000003, 0.0071, 0.0023, 0.004, 0.0023, 0.0009000000000000001, 0.0023, 0.00030000000000000003, -0.0024000000000000002, 0.0068000000000000005, -0.0024000000000000002, 0.0, -0.0027, 0.009600000000000001, 1.... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0033) q[0];
rz(0.0078) q[0];
rx(0.0026) q[1];
rz(0.0071) q[1];
rx(0.0023) q[2];
rz(0.004) q[2];
rx(0.0023) q[3];
rz(0.0009) q[3];
rx(0.0023) q[4];
rz(0.0003) q[4];
rx(-0.0024) q[5];
rz(0.0068) q[5];
rx(-0.0024) q[6];
rz(0) q[6];
rx(-0.0027) q[7];
rz(0.009... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
-6129269027980007855 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 3], [0, 2, 4], [1, 3, 4]]} | {"states": [13, 19], "expectation_value": -0.0053168797848196095, "params": [[0.0434], [-0.031400000000000004]], "bitstrings": ["10010", "01100"], "total_optimization_steps": 10, "probabilities": [0.03147725605488216, 0.03147725605488219], "optimization_time": 0.5139486789703369} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.166666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666663, "smallest_bitstrings": ["01100", "10010", "00110", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0072) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0072) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0217) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0217) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0072) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | null | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | 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": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 23.232301712036133} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "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];
cry(1.5708) q[3], q[4];
ry(0.9957) q[3];
ry(0.4568) q[4];
cry(0.438) q[4], q[3];
cry(1.5162) q[4], q[2];
cry(1.5651) q[2], q[5];
cry(-1.5289) q[5], q[0];
ry(-1.3533) q[1];
cry(0.0085) q[5], q[4];
cry(0.0269) q[2]... | 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[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
fbc46bcd995da54504109cba67c5f505 | 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": [348, 346], "expectation_value": -52.91152516745855, "params": [[[0.5680000000000001, 0.1363], [0.1665, 0.1605], [0.5982000000000001, 0.1942], [0.1489, 0.2901], [0.17980000000000002, 0.6], [0.16870000000000002, 0.2879], [0.1583, 0.6028], [0.5941000000000001, 0.5954], [0.39130000000000004, 0.10840000000000001... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(5)) + 10.0 * Z(0) + 2.5 * Z(1) + 20.0 * Z(2) + 17.5 * Z(4) + 11.5 * Z(5) + 2.0 * Z(3... | 15 | 9 | 4 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.568) q[0];
ry(0.1665) q[1];
ry(0.5982) q[2];
ry(0.1489) q[3];
ry(0.1798) q[4];
ry(0.1687) q[5];
ry(0.1583) q[6];
ry(0.5941) q[7];
ry(0.3913) 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]}"} | {"circuits": [], "gradients": []} |
-8266188259455972362 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1], [1, 2], [4, 6]]} | {"states": [89, 92], "expectation_value": -0.017913427994784764, "params": [[-0.0438], [0.051500000000000004]], "bitstrings": ["0100110", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008095703829275347, 0.008095703829275347], "optimization_time": 1.4253368377685547} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0101100", "0100011", "1011100", "0100110", "1011001", "0101001", "1010011", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(-0.0438) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(-0.0438) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0438) q[2];
cx q[1], q[2];
cx q[6], q[4];
rz(-0.0438) q[4];
cx q[6], q[4];
rz(0) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[6], q[4];
... | null | {"circuits": [], "gradients": []} |
4c501ef8e5f3c0389124f06f0fc880e2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "targ... | {"states": [15, 16383], "expectation_value": -19.070065024651946, "params": [[[0.0023, 0.0091], [0.0029000000000000002, 0.0056], [1.5558, 0.004], [0.0021000000000000003, 0.004], [0.0028, 0.0053], [0.003, 0.0027], [1.5585, 0.0053], [0.0022, 0.0095], [0.003, 0.0078000000000000005], [1.5651000000000002, 0.0037], [0.002900... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(13) @ Z(11)) ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-25.000000000000032], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.000000000000142, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0023) q[0];
rz(0.0091) q[0];
rx(0.0029) q[1];
rz(0.0056) q[1];
rx(1.5558) q[2];
rz(0.004) q[2];
rx(0.0021) q[3];
rz(0.004) q[3];
rx(0.0028) q[4];
rz(0.0053) q[4];
rx(0.003) q[5];
rz(0.0027) q[5];
rx(1.5585) q[6];
rz(0.0053) q[6];
rx(0.0022) 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[... | {"node": 8} | {"circuits": [], "gradients": []} |
4241967995058416964 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [3, 4], [4, 5], [0, 6], [8, 4], [2, 6], [2, 7], [1, 6], [8, 3], [4, 6], [2, 3], [8, 1], [5, 7], [8, 2], [1, 7], [6, 7], [1, 2], [8, 6], [0, 2], [4, 7], [2, 4], [1, 5], [8, 5], [0, 3]]} | {"states": [108, 403], "expectation_value": -0.31084976076726034, "params": [[-0.0868], [0.0789]], "bitstrings": ["110010011", "001101100"], "total_optimization_steps": 10, "probabilities": [0.0025233143128080035, 0.0025233143128080035], "optimization_time": 0.925466775894165} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101100", "110010011"]} | 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[8], q[0];
rz(-0.0868) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.0868) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.0868) q[3];
cx q[0], q[3];
cx q[8], q[4];
rz(-0.0868) q[4];
cx q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(x0) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} |
12a709cea7d6ba239d3ff08a3d514b7a | 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": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.29710188515386, "params": [[[0.0014, -0.0024000000000000002], [-0.006900000000000001, -0.0695], [0.0022, 0.0027], [0.001, 0.0018000000000000002], [0.003, 0.0023], [0.0028, 0.0026000000000000003], [0.0031000000000000003, 0.0017000000000000001], [0.0058000000000000005, 0.001... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 4 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0014) q[0];
ry(-0.0069) q[1];
ry(0.0022) q[2];
ry(0.001) q[3];
ry(0.003) q[4];
ry(0.0028) q[5];
ry(0.0031) q[6];
ry(0.0058) q[7];
ry(0.0046) q[8];
ry(-0.0108) q[9];
ry(-0.0327) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [26, 42], "expectation_value": -3.293210897902316, "params": [-0.0088, 0.15510000000000002, -0.0071, 0.14780000000000001, 0.2954, -0.1017, 0.2948, -0.0984, 0.28140000000000004, -0.10020000000000001, 0.27790000000000004, -0.1046, 0.3055, -0.048400000000000006, 0.3083, 0.0098, 0.00030000000000000003, 0.1597, 0... | 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(4) @ Z(3)) + 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(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0088) q[0];
rz(0.1551) q[0];
rx(0.2954) q[1];
rz(-0.1017) q[1];
rx(0.2814) q[2];
rz(-0.1002) q[2];
rx(0.3055) q[3];
rz(-0.0484) q[3];
rx(0.0003) q[4];
rz(0.1597) q[4];
rx(0.302) q[5];
rz(-0.0465) q[5];
rx(0.0022) q[6];
rz(0.1675) q[6];
crz(-0.0305) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [62, 31], "expectation_value": -1.9980179034775143, "params": [[-0.002, -0.0019, 0.7773, 0.7793, 0.0019, 0.0021000000000000003], [0.9193, 0.7725000000000001, 0.0057, 0.0002, 0.7804, -0.9218000000000001], [-0.9225000000000001, 0.79, 0.0068000000000000005, 0.0036000000000000003, 0.7852, 0.9271]], "bitstrings":... | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 9 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "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];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.002) q[0];
rx(-0.0019) q[1];
rx(0.7773) q[2];
rx(0.7793) q[3];
rx(0.0019) q[4];
rx(0.0021) q[5];
h q[0];
h q[1];
h q[2];
h q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | 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": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [85, 83], "expectation_value": -4.499863760330889, "params": null, "bitstrings": ["0101010", "0101100"], "total_optimization_steps": 33, "probabilities": [1.641415568465037e-05, 0.9999120678543048], "optimization_time": 24.18941855430603} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
ry(-1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[6];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[6], q[1];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[6], q[2];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a6f2ec57af099b3bb5cc46b59481f5f7 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"sour... | {"states": [31, 223], "expectation_value": -9.888574964353673, "params": null, "bitstrings": ["11100000", "00100000"], "total_optimization_steps": 100, "probabilities": [0.13391895154524297, 0.44802146250297237], "optimization_time": 205.73915934562683} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00100000"]} | 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(1.5708) q[7], q[3];
cry(1.5708) q[3], q[6];
cry(1.5164) q[6], q[4];
cry(1.5709) q[3], q[5];
cry(-1.2426) q[6], q[3];
cry(0.0834) q[5], q[3];
cry(-0.0066) q[4], q[3];
ry(-0.0058) q[3];
cry(1.29... | null | {"node": 2} | {"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(1.5708) q[7], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [718, 717], "expectation_value": -2.2697746517286093, "params": [[[0.7007, -0.005200000000000001], [0.1552, 0.0018000000000000002], [0.7947000000000001, 0.2063], [0.5708, 0.1831], [0.3728, 0.249], [0.045200000000000004, -0.0159], [-0.09380000000000001, 0.7924], [-0.0587, 0.41140000000000004], [0.637600000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 3 | {"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], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7007) q[0];
ry(0.1552) q[1];
ry(0.7947) q[2];
ry(0.5708) q[3];
ry(0.3728) q[4];
ry(0.0452) q[5];
ry(-0.0938) q[6];
ry(-0.0587) q[7];
ry(0.6376) q[8];
ry(0.7788) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
90caccd5a9bc4a2ae486cd28f2a54684 | 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": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [108, 364], "expectation_value": -3.9078484620831673, "params": [[[0.6246, 0.0022], [-0.0007, 0.4398], [0.8073, 0.0024000000000000002], [0.8054, 0.0012000000000000001], [-0.0051, -0.40840000000000004], [0.7553000000000001, -0.0013000000000000002], [0.8012, 0.0038], [0.11760000000000001, 0.34900000000000003],... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + -1.0 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(6) + -0.5 * Z(8) + 0.0 * Z(5) | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010011", "010011010", "110000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6246) q[0];
rz(0.0022) q[0];
rx(-0.0007) q[1];
rz(0.4398) q[1];
rx(0.8073) q[2];
rz(0.0024) q[2];
rx(0.8054) q[3];
rz(0.0012) q[3];
rx(-0.0051) q[4];
rz(-0.4084) q[4];
rx(0.7553) q[5];
rz(-0.0013) q[5];
rx(0.8012) q[6];
rz(0.0038) q[6];
rx(0.1176) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [0, 31], "expectation_value": -5.496136222677335, "params": [[[0.00030000000000000003, -1.5438], [0.0024000000000000002, 0.004], [-0.0029000000000000002, -0.0023], [-0.0029000000000000002, -0.0028], [-0.0036000000000000003, -0.1371], [1.681, 0.0017000000000000001]], [[0.8829, -1.6329], [-0.002400000000000000... | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 15 | 6 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0003) q[0];
ry(0.0024) q[1];
ry(-0.0029) q[2];
ry(-0.0029) q[3];
ry(-0.0036) q[4];
ry(1.681) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-1.5438) q[0];
ry(0.004) q[1];
ry(-0.0023) q[2];
ry(-0.0028) 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4368dd6213c7171348dbaf0e766876bf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"sour... | {"states": [70, 86], "expectation_value": -3.071093290723929, "params": [0.45570000000000005, 0.0098, 1.5009000000000001, 0.0067, 1.6623, 0.009300000000000001, -0.0036000000000000003, 0.007200000000000001, 1.6184, 0.0076, 1.4737, 0.0097, 1.6992, 0.007, 1.7049, 0.0019, 0.0529, 0.0097, 0.0011, 0.00030000000000000003, 0.0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(6) + -0.5 * Z(0) + 0.0 * Z(7) + -1.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["101110001", "110101001", "111010100", "100111001", "011010110", "111100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4557) q[0];
rz(0.0098) q[0];
rx(1.5009) q[1];
rz(0.0067) q[1];
rx(1.6623) q[2];
rz(0.0093) q[2];
rx(-0.0036) q[3];
rz(0.0072) q[3];
rx(1.6184) q[4];
rz(0.0076) q[4];
rx(1.4737) q[5];
rz(0.0097) q[5];
rx(1.6992) q[6];
rz(0.007) q[6];
rx(1.7049) 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": []} |
f6efe48edfa023e0ed4dd36c6ec26eae | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [293, 295], "expectation_value": -116.07313765507799, "params": [[-0.0478, 0.0199, 0.6368, -0.1264, -0.0017000000000000001, 0.6268, 0.0041, -0.014100000000000001, 0.8025, -0.0847, 0.8429000000000001], [-0.0135, -0.0088, 0.6387, 0.038200000000000005, 0.00030000000000000003, 0.6286, -0.028, -0.0949, 0.7999, -0... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(1) + 15.5 * Z(2) + 2.5 * Z(3) + 8.5 * Z(5) + -6.5 * Z(4) + -4.0 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11011011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0478) q[0];
ry(0.0199) q[1];
ry(0.6368) q[2];
ry(-0.1264) q[3];
ry(-0.0017) q[4];
ry(0.6268) q[5];
ry(0.0041) q[6];
ry(-0.0141) q[7];
ry(0.8025) q[8];
ry(-0.0847) q[9];
ry(0.8429) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
b4417afb18bf0771535be2b022ebd858 | 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": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [1022, 2047], "expectation_value": -11.254971748044982, "params": [[[-1.0369000000000002, 1.1115000000000002], [0.0212, 1.1133], [-0.0024000000000000002, 0.49870000000000003], [-0.0034000000000000002, -0.0022], [-0.0027, -0.0028], [-0.0035, -0.0031000000000000003], [-0.0028, -0.003], [-0.0015, -0.0027], [-0.... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.0369) q[0];
ry(0.0212) q[1];
ry(-0.0024) q[2];
ry(-0.0034) q[3];
ry(-0.0027) q[4];
ry(-0.0035) q[5];
ry(-0.0028) q[6];
ry(-0.0015) q[7];
ry(-0.0023) q[8];
ry(0.0183) q[9];
ry(-0.0028) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 3} | {"circuits": [], "gradients": []} |
4a07d8cd482ce7fb76684438a5cf9815 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4},... | {"states": [1786, 1791], "expectation_value": -18.030098342309717, "params": null, "bitstrings": ["00100000101", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.03870161029317407, 0.5258896118579844], "optimization_time": 216.03184700012207} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(8)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[8], q[10];
cry(1.5708) q[10], q[6];
cry(1.2796) q[6], q[7];
cry(1.1942) q[6], q[8];
cry(1.5709) q[7], q[9];
cry(-0.6478) q[6], q[10];
ry(-0.2204) q[10];
cr... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[8], 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];\nc... |
544944462949192911 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [2, 6], [3, 6], [4, 7]]} | {"states": [78, 124], "expectation_value": -2.2202251569909692, "params": null, "bitstrings": ["10110001", "10000011"], "total_optimization_steps": 61, "probabilities": [0.047548229224899895, 0.6622830355545474], "optimization_time": 56.13262462615967} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01111100", "10000011", "10001110", "01110001", "01001110", "01000011", "10111100", "10110001"]} | 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[5], q[7];
cry(-1.0342) q[3], q[6];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[5];
cry(-0.7092) q[4], q[7];
cry(1.1516) q[5], q[4];
ry(0.7003) q[3];
cry(-0.7092) q[2], q[6];
cry(1.1516) 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[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -0.4236365451318193, "params": [[0.0785], [-0.0743]], "bitstrings": ["10100", "10110"], "total_optimization_steps": 10, "probabilities": [0.037452344906542825, 0.03822678745340374], "optimization_time": 1.4465007781982422} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.2355) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1177) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0393) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.157) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.2747) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
b301caa8ee54d69b7ea37306c72194d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -22.338797960232625, "params": [[-0.038900000000000004, 0.0009000000000000001, 0.0081], [0.0639, 0.0678, 0.06810000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014843366642226921, 0.017656398275439213], "optimization... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.3501) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.3501) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3501) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.3501) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
13395b3e8f5e4d47dab66af622a16025 | connected_components | 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": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [56, 63], "expectation_value": -0.3870128975330341, "params": [[-0.0505], [0.0565]], "bitstrings": ["000111", "000000"], "total_optimization_steps": 10, "probabilities": [0.01867620600332205, 0.018955802063580142], "optimization_time": 0.964914083480835} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1515) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1515) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1515) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.202) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.202) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"node": 5} | {"circuits": [], "gradients": []} |
a51531ca07978522e4bcbb0967753d9f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [183, 151], "expectation_value": -33.60553019351106, "params": [[[0.2792, 0.8857], [0.8983000000000001, 0.8943000000000001], [-0.3371, 0.8935000000000001], [0.6904, 0.893], [0.9008, 0.5670000000000001], [-0.2439, 0.48450000000000004], [0.8341000000000001, 0.6006], [0.6212, 0.8864000000000001], [0.2506, 0.300... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 20.5 * Z(1) + 7.0 * Z(0) + -5.5 * Z(2) + 19.5 * Z(4) + 8.0 * Z(3) + 15.5 * Z(6... | 15 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2792) q[0];
ry(0.8983) q[1];
ry(-0.3371) q[2];
ry(0.6904) q[3];
ry(0.9008) q[4];
ry(-0.2439) q[5];
ry(0.8341) q[6];
ry(0.6212) q[7];
ry(0.2506) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
79c413169b46cfe9500c0e20c1b4b614 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1920], "expectation_value": -30.07695890257074, "params": [[[0.0022, 0.004200000000000001], [0.0027, 0.007], [0.1111, 0.0017000000000000001], [1.6127, 0.0077], [0.0026000000000000003, 0.0038], [-0.0026000000000000003, 0.0082], [0.0022, 0.0022], [0.0024000000000000002, 0.0043], [0.0022, 0.0083], [0.002600... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["00001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0022) q[0];
rz(0.0042) q[0];
rx(0.0027) q[1];
rz(0.007) q[1];
rx(0.1111) q[2];
rz(0.0017) q[2];
rx(1.6127) q[3];
rz(0.0077) q[3];
rx(0.0026) q[4];
rz(0.0038) q[4];
rx(-0.0026) q[5];
rz(0.0082) q[5];
rx(0.0022) q[6];
rz(0.0022) q[6];
rx(0.0024) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} |
f855126c9b49092b308e3852959f5914 | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [954, 1023], "expectation_value": -14.601036903597866, "params": null, "bitstrings": ["0001000101", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06637221174366992, 0.2789436892709922], "optimization_time": 270.5159447193146} | 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(5)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "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[4], q[5];
cry(1.5709) q[5], q[8];
cry(-0.0114) q[8], q[4];
ry(-0.2374) q[4];
cry(0.2374) q[5], q[4];
cry(1.5346) q[8], q[6];
cry(0.1034) q[6], q[4];
cry(1.1084) q[9... | null | {"node": 0} | {"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[4], 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] = measu... |
cd168b9dfe6f067036c4fe2db7911cf9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target": 8}, {"sour... | {"states": [0, 252], "expectation_value": -5.827635915726708, "params": [0.7569, 0.0635, -0.5449, 0.0007, 0.81, 0.42610000000000003, -0.6561, 0.0056, 0.8546, 0.6091, 0.2232, 0.002, 0.8611000000000001, 0.7539, 0.2534, 0.0078000000000000005, 0.8917, 0.8087000000000001, 0.15410000000000001, 0.009000000000000001, 0.8768, 0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7569) q[0];
rz(0.0635) q[0];
rx(0.81) q[1];
rz(0.4261) q[1];
rx(0.8546) q[2];
rz(0.6091) q[2];
rx(0.8611) q[3];
rz(0.7539) q[3];
rx(0.8917) q[4];
rz(0.8087) q[4];
rx(0.8768) q[5];
rz(0.8684) q[5];
rx(-0.0032) q[6];
rz(0.129) q[6];
rx(-0.0033) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
e314f97a67cf53680761d0291b0562fe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [222, 214], "expectation_value": -30.327033624431945, "params": [[-0.030600000000000002, -0.0078000000000000005, 0.0023, 0.030600000000000002], [0.067, 0.060500000000000005, 0.0589, 0.0229]], "bitstrings": ["100100001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.00943254208166822, 0.01... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"]} | 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(-0.2754) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2754) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2754) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.2754) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 3], "expectation_value": -4.088962584956267, "params": [[-0.0629], [0.07060000000000001]], "bitstrings": ["111010", "111100"], "total_optimization_steps": 10, "probabilities": [0.02134420084006957, 0.021639858081324105], "optimization_time": 2.6637237071990967} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.283) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.283) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.283) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.283) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.283... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
c... | {"k": 4} | {"circuits": [], "gradients": []} |
-7601439258279430508 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 4, 5, 9], [2, 3, 4, 5, 6, 8, 9], [8, 7], [0, 3, 4, 6, 8, 9], [0, 2, 6, 8, 9], [0, 1, 2, 5], [0, 2, 7], [5, 7]]} | {"states": [755, 754], "expectation_value": -2.2129794260104263, "params": null, "bitstrings": ["0100001100", "0100001101"], "total_optimization_steps": 80, "probabilities": [0.12882330685808654, 0.623204985064752], "optimization_time": 896.0254476070404} | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.09047619047619047 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.05714285714285... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.3738095238095243, -2.3738095238095243, -2.3738095238095243], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.2928571428571427, "smallest_bitstrings": ["0100101100", "0101001100", "0100001101"]} | 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(1.4845) q[0];
cry(-1.0334) q[8], q[7];
ry(0.9774) q[8];
cry(1.3242) q[8], q[5];
cry(-0.8886) q[5], q[7];
cry(0.3713) q[0], q[8];
ry(0.6883) q[2];
cry(0.446) q[0], q[2];
cry(-0... | null | null | {"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(1.4845) 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]... |
cfd0ed45a418a60a41de202a2c3ccbc7 | 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": [378, 346], "expectation_value": -47.085580182754136, "params": [0.0013000000000000002, -0.6062000000000001, 1.2036, 0.3881, 0.7552, 0.5589000000000001, 1.1967, 0.2958, 0.7478, 0.4455, 1.2015, 0.0358, 1.2021000000000002, 0.188, 0.5946, 0.3645, 1.2075, 0.4021, 0.22560000000000002, 0.7022, 0.0035, 0.0061, 1.20... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 8.5 * Z(1) + 3.5 * Z(2) + 8.0 * Z(3) + 3.5 * Z(4) + 13.5 * Z(6) + 2.5 * Z(7) + 11.5 * Z(5) + -3.0 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0013) q[0];
rz(-0.6062) q[0];
rx(1.2036) q[1];
rz(0.3881) q[1];
rx(0.7552) q[2];
rz(0.5589) q[2];
rx(1.1967) q[3];
rz(0.2958) q[3];
rx(0.7478) q[4];
rz(0.4455) q[4];
rx(1.2015) q[5];
rz(0.0358) q[5];
rx(1.2021) q[6];
rz(0.188) q[6];
rx(0.5946) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
bfcc016c6d32554855d911056b5152b6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -16.010858986175265, "params": [-0.0031000000000000003, 0.5175000000000001, 0.0029000000000000002, 0.5935, 0.0029000000000000002, -0.5339, 0.0025, 0.5135000000000001, 0.0028, 0.5813, 0.0026000000000000003, 0.6092000000000001, 0.0028, 0.6074, 0.8099000000000001, -0.0011, -0.0032, ... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 3 | 8 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0031) q[0];
rz(0.5175) q[0];
rx(0.0029) q[1];
rz(0.5935) q[1];
rx(0.0029) q[2];
rz(-0.5339) q[2];
rx(0.0025) q[3];
rz(0.5135) q[3];
rx(0.0028) q[4];
rz(0.5813) q[4];
rx(0.0026) q[5];
rz(0.6092) q[5];
rx(0.0028) q[6];
rz(0.6074) q[6];
rx(0.8099) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | 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": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 11.388883113861084} | 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(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | 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[4];
ry(-1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.4969) q[1], q[0];
cry(-0.3761) q[1], q[5];
cry(-0.1216) q[1], q[3];
cry(0.1... | 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... |
109dd65f843c7effe1b685156edca6d7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [5, 7], "expectation_value": -11.84477942681327, "params": [[[0.3977, 0.1966], [0.48410000000000003, -0.1736], [0.42400000000000004, 0.1845], [0.48510000000000003, 0.17320000000000002], [0.4839, -0.1734], [0.803, 0.0016], [0.7911, 0.0022], [0.7964, -0.0021000000000000003]], [[0.39630000000000004, 0.0022], [0... | 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)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3977) q[0];
rz(0.1966) q[0];
rx(0.4841) q[1];
rz(-0.1736) q[1];
rx(0.424) q[2];
rz(0.1845) q[2];
rx(0.4851) q[3];
rz(0.1732) q[3];
rx(0.4839) q[4];
rz(-0.1734) q[4];
rx(0.803) q[5];
rz(0.0016) q[5];
rx(0.7911) q[6];
rz(0.0022) q[6];
rx(0.7964) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
f3cb23d760ae536deab27d0ff48dbb53 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 6},... | {"states": [2047, 1535], "expectation_value": -17.743094632328997, "params": [[[0.0018000000000000002, 2.7047000000000003], [-1.6221, -0.0016], [-0.0024000000000000002, -0.0021000000000000003], [-0.0018000000000000002, -0.0019], [-0.0017000000000000001, 0.0022], [-0.003, -0.0021000000000000003], [-0.0024000000000000002... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(9)) + -... | 15 | 11 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["01000000000", "11100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0018) q[0];
ry(-1.6221) q[1];
ry(-0.0024) q[2];
ry(-0.0018) q[3];
ry(-0.0017) q[4];
ry(-0.003) q[5];
ry(-0.0024) q[6];
ry(-0.0028) q[7];
ry(-0.003) q[8];
ry(-0.003) q[9];
ry(-0.0028) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 3} | {"circuits": [], "gradients": []} |
bb94fc95e3d2399ab0a553ee86bc119a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [2047, 2015], "expectation_value": -0.5800057421858983, "params": [[-0.07740000000000001], [0.07590000000000001]], "bitstrings": ["00000000000", "00000100000"], "total_optimization_steps": 10, "probabilities": [0.0007276415870890434, 0.0007448664006776622], "optimization_time": 1.7508642673492432} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 *... | 5 | 11 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.2322) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0774) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2322) q[4];
cx q[0], q[4];
cx q[7], q[6];
rz(0.2322) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x1) q[4]... | {"node": 3} | {"circuits": [], "gradients": []} |
0782d3cd57e18fd1ecafaa7e981038f9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.02078730413278225, "params": [[-0.0724], [0.0728]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.658766053494771e-05, 1.658766053494771e-05], "optimization_time": 12.018709421157837} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0192148760330144], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.019214876032989, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0362) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | 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[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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [31, 11], "expectation_value": -4.025672445479007, "params": [[-0.15030000000000002], [0.1673]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 20, "probabilities": [0.024517665110284914, 0.025396424098734636], "optimization_time": 2.8647286891937256} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | 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(0.4509) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0752) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.3758) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.3758) q[4];
cx q[0], q[4];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
80414d2e2eb4a15dac1e8a7f58be727c | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [655, 1679], "expectation_value": -2.951357682046318, "params": [1.6691, 0.0017000000000000001, 3.1619, 0.0048000000000000004, -0.0021000000000000003, 0.0032, 3.1612, 0.0002, -0.0027, 0.0009000000000000001, -0.0023, 0.0083, 0.434, 0.0008, 3.1604, 0.0083, 3.1617, 0.0076, 3.1401000000000003, 0.0081, 3.1619, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.5, "smallest_bitstrings": ["10000101010", "01100110000", "10001100010", "00100110100", "11000100010", "00100111000", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6691) q[0];
rz(0.0017) q[0];
rx(3.1619) q[1];
rz(0.0048) q[1];
rx(-0.0021) q[2];
rz(0.0032) q[2];
rx(3.1612) q[3];
rz(0.0002) q[3];
rx(-0.0027) q[4];
rz(0.0009) q[4];
rx(-0.0023) q[5];
rz(0.0083) q[5];
rx(0.434) q[6];
rz(0.0008) q[6];
rx(3.1604) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [121, 61], "expectation_value": -24.399583881092028, "params": [[-0.047400000000000005, -0.0013000000000000002, 0.0097], [0.0806, 0.0792, 0.0789]], "bitstrings": ["0000110", "1000010"], "total_optimization_steps": 10, "probabilities": [0.030721596503443572, 0.03949859664464104], "optimization_time": 7.552317... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"]} | 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(-0.2844) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2844) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2844) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2844) q[3];
cx q[0], q[3];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
8ccb61531a0518dab46daa7987f55ae4 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.37408470580471, "params": [0.7223, 0.6336, -0.1145, 0.2931, 0.8098000000000001, 0.3378, 0.1038, 0.8522000000000001, 0.785, 0.46730000000000005, 0.0023, 0.6881, -0.0002, 0.4803, -0.0099, 0.6960000000000001, 0.0019, 0.5132, 0.030100000000000002, 0.44220000000000004, -0.0054, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7223) q[0];
rz(0.6336) q[0];
rx(0.8098) q[1];
rz(0.3378) q[1];
rx(0.785) q[2];
rz(0.4673) q[2];
rx(-0.0002) q[3];
rz(0.4803) q[3];
rx(0.0019) q[4];
rz(0.5132) q[4];
rx(-0.0054) q[5];
rz(0.0894) q[5];
rx(0.7531) q[6];
rz(0.7014) q[6];
rx(0.7208) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
3a1b6a9bf7270007712b664c84a12e64 | 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": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [116, 113], "expectation_value": -5.499898991887372, "params": null, "bitstrings": ["0001011", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6350254322700684e-05, 0.999930372763856], "optimization_time": 36.84373664855957} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ 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(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[4];
cry(0.1217) q[2], q[0];
cry(0.1216) q[0], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f619afa25c1921f996d128a1dfefef72 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [1450, 1386], "expectation_value": -1.514598182439437, "params": [0.058800000000000005, -0.052500000000000005, 0.5962000000000001, 2.5502000000000002, 3.1356, 3.1381, 0.0036000000000000003, -0.0038, 2.056, 2.23, -0.1236, -0.037700000000000004, 1.5716, 1.5664, -0.035300000000000005, 0.0219, 1.5781, 1.5686, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 14 | 12 | 1 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0588) q[0];
ry(0.5962) q[1];
ry(3.1356) q[2];
ry(0.0036) q[3];
ry(2.056) q[4];
ry(-0.1236) q[5];
ry(1.5716) q[6];
ry(-0.0353) q[7];
ry(1.5781) q[8];
ry(0.0026) q[9];
ry(1.0875) q[10];
ry(-0.0018) q[11];
crx(1.992) q[11], q[0];
crx(-0.0046) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-5665932545785852545 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 6, 8], [0, 2, 6, 7, 8], [0, 1]]} | {"states": [235, 243], "expectation_value": -0.019101232653547753, "params": [[-0.08320000000000001], [0.0777]], "bitstrings": ["100010100", "100001100"], "total_optimization_steps": 10, "probabilities": [0.002033716953305921, 0.002033716953305921], "optimization_time": 4.639576435089111} | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(8) @ Z(6)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(8)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(8)) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | 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[4], q[3];
rz(-0.0083) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0083) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0083) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(-0.0083) q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5... | null | {"circuits": [], "gradients": []} |
949642de8ee5e7ad5475d2650121814b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight"... | {"states": [978, 466], "expectation_value": -69.21674632642573, "params": [0.9684, 0.3788, 0.9678, 0.0053, 1.3953, 0.0458, 1.397, 0.0057, 1.4025, 0.0216, 1.3997000000000002, 0.0039000000000000003, 1.3943, -0.0439, 1.3987, 0.0041, -0.002, 0.8466, -0.0012000000000000001, 0.00030000000000000003, 1.4007, 0.0678, 1.4016, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 10.5 * Z(0) + 12.5 * Z(2) + 6.5 * Z(3) + 5.5 * Z(5) + -4.0 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["1000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9684) q[0];
rz(0.3788) q[0];
rx(1.3953) q[1];
rz(0.0458) q[1];
rx(1.4025) q[2];
rz(0.0216) q[2];
rx(1.3943) q[3];
rz(-0.0439) q[3];
rx(-0.002) q[4];
rz(0.8466) q[4];
rx(1.4007) q[5];
rz(0.0678) q[5];
rx(0.3196) q[6];
rz(-0.5073) q[6];
rx(0.3982) 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", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 95.4429030418396} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.2796) q[7];
ry(1.5708) q[5];
cry(-1.569) q[5], q[2];
cry(-1.5681) q[5], q[1];
cry(-1.5681) q[5], q[3];
cry(0.2912) q[5], q[7];
cry(1.4449) q[5], q[4];
cry(-1.4433) q[4], q[6... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
1dab790a5385881880e7ae8e872128f0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2},... | {"states": [0, 31], "expectation_value": -3.671114104958837, "params": [[0.062200000000000005], [-0.0506]], "bitstrings": ["11111111111", "11111100000"], "total_optimization_steps": 10, "probabilities": [0.0011019129223276349, 0.0011441379928908287], "optimization_time": 1.1253015995025635} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(1) @ Z(2)) + -3.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["11111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(-0.3732) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.1244) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.2488) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.4354) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 0} | {"circuits": [], "gradients": []} |
-5878809023929893674 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 9], [8, 3, 4], [1, 12, 7], [2, 12, 6], [0, 1, 6], [11, 2, 3], [10, 4], [9, 7], [9, 12, 4], [0, 12, 6], [10, 5], [8, 4, 7], [3, 7], [0, 9, 11], [2, 4], [11, 6], [0, 5], [0, 10, 11], [3, 5, 6], [0, 9, 4], [9, 10], [8, 11], [2, 12, 7], [10, 3... | {"states": [970, 971], "expectation_value": -4.558333516580183, "params": [[[1.1852, 0.0015, 0.0027, 0.0074], [0.7473000000000001, -0.0037, 0.25270000000000004, 0.0007], [-0.0028, 0.008400000000000001, 0.007, 0.0017000000000000001], [0.9505, -0.0026000000000000003, 1.0992, 0.0095], [1.6091, 0.0085, 0.0005, 0.0029000000... | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666668, "smallest_bitstrings": ["1110000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.1852) q[0];
rz(0.0015) q[0];
ry(0.7473) q[1];
rz(-0.0037) q[1];
ry(-0.0028) q[2];
rz(0.0084) q[2];
ry(0.9505) q[3];
rz(-0.0026) q[3];
ry(1.6091) q[4];
rz(0.0085) q[4];
ry(0.3729) q[5];
rz(-0.013) q[5];
ry(1.5937) q[6];
rz(0.0089) q[6];
ry(0.3489) 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": []} |
fae7d5e83e81991740c11329a11db758 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"sour... | {"states": [83, 115], "expectation_value": -6.756878842680245, "params": [[0.003, -0.0037, 0.9953000000000001, -0.0196, 0.9944000000000001, 0.0028, -0.0149, 0.4642, 0.7007], [0.0034000000000000002, -0.0028, 0.9999, 0.5847, 0.9933000000000001, 0.003, -0.0074, 1.0009000000000001, 1.0062], [0.0032, -0.0041, 0.5526, 0.3921... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(2) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.003) q[0];
ry(-0.0037) q[1];
ry(0.9953) q[2];
ry(-0.0196) q[3];
ry(0.9944) q[4];
ry(0.0028) q[5];
ry(-0.0149) q[6];
ry(0.4642) q[7];
ry(0.7007) 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": []} |
605ce0581fb32d197e86365115db7384 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target":... | {"states": [291, 295], "expectation_value": -2.973751387097473, "params": [[[1.3192000000000002, 0.009300000000000001], [1.604, 0.0013000000000000002], [0.36920000000000003, 0.0079], [0.37270000000000003, 0.0067], [1.6142, 0.0097], [0.37260000000000004, 0.008400000000000001], [0.006, 0.0008], [1.5916000000000001, 0.004... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(5) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011100", "1011010001", "1011011000", "1001011100", "0011010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3192) q[0];
rz(0.0093) q[0];
rx(1.604) q[1];
rz(0.0013) q[1];
rx(0.3692) q[2];
rz(0.0079) q[2];
rx(0.3727) q[3];
rz(0.0067) q[3];
rx(1.6142) q[4];
rz(0.0097) q[4];
rx(0.3726) q[5];
rz(0.0084) q[5];
rx(0.006) q[6];
rz(0.0008) q[6];
rx(1.5916) 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": []} |
2430569917343443146 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 4, 5], [8, 1, 6], [3, 6], [0, 1, 2, 8], [8, 5, 7], [0, 2, 4], [8, 2, 3], [0, 3], [8, 4, 6, 7], [1, 2, 3, 7], [3, 4, 7]]} | {"states": [185, 327], "expectation_value": -0.6074382992579861, "params": [[0.1767], [-0.18380000000000002]], "bitstrings": ["101000110", "010111000"], "total_optimization_steps": 20, "probabilities": [0.003489965358658874, 0.003523854551119664], "optimization_time": 4.484362840652466} | 0.3333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.083333333333334, "smallest_bitstrings": ["010111000"]} | 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[8];
rz(0.1178) q[8];
cx q[2], q[8];
cx q[2], q[4];
rz(0.0883) q[4];
cx q[2], q[4];
cx q[8], q[4];
rz(0.0589) q[4];
cx q[8], q[4];
cx q[2], q[5];
rz(0.0294) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [31, 23], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1100000", "1101000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 28.820947647094727} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[2];
cry(1.5681) q[2], q[5];
cry(1.5486) q[2], q[4];
cry(1.5681) q[2], q[6];
cry(-1.5706) q[2], q[0];
cry(-1.5681) q[2], q[1];
ry(0.0222) q[4];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6], q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
17cd9690776ef862a22ab9b1dedee537 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [420, 421], "expectation_value": -2.2572563234513514, "params": [0.4058, 0.0031000000000000003, 0.403, 0.0005, 0.39730000000000004, 0.0223, 0.3972, 0.0089, 0.07970000000000001, 0.1665, 0.0791, 0.17170000000000002, 0.3936, 0.007200000000000001, 0.4012, 0.009000000000000001, 0.0026000000000000003, 0.3, 0.00420... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 7 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["100011001", "010011001", "001010110", "001110010", "011010010", "001011010", "010010011", "001011001", "001011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4058) q[0];
rz(0.0031) q[0];
rx(0.3973) q[1];
rz(0.0223) q[1];
rx(0.0797) q[2];
rz(0.1665) q[2];
rx(0.3936) q[3];
rz(0.0072) q[3];
rx(0.0026) q[4];
rz(0.3) q[4];
rx(0.2126) q[5];
rz(0.106) q[5];
rx(0.3965) q[6];
rz(0.0113) q[6];
rx(0.0841) q[7];
rz(0.1703... | 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": []} |
-639020489791202921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 5, 6], [0, 2], [2, 3]]} | {"states": [53, 109], "expectation_value": -0.6304746968036026, "params": [[0.3784], [-0.3684]], "bitstrings": ["1001010", "0010010"], "total_optimization_steps": 40, "probabilities": [0.022882760094735784, 0.022882760094735784], "optimization_time": 1.6296167373657227} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0010010", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(0.3784) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.1261) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.1261) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.1261) q[6];
cx q[1], q[6];
cx q[2], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(x1) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
d95b68826fd82a56bc7a64742cbebcc0 | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [168, 170], "expectation_value": -6.54472462292552, "params": [0.1757, 0.17200000000000001, 0.49410000000000004, 0.4929, -0.0038, 0.0005, 0.441, 0.4389, 0.0061, 0.0053, 0.49560000000000004, 0.4944, 0.0018000000000000002, -0.0002, 0.34040000000000004, 0.3421, -0.007200000000000001, -0.0021000000000000003, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101010101", "001010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1757) q[0];
ry(0.4941) q[1];
ry(-0.0038) q[2];
ry(0.441) q[3];
ry(0.0061) q[4];
ry(0.4956) q[5];
ry(0.0018) q[6];
ry(0.3404) q[7];
ry(-0.0072) q[8];
crz(-0.2266) q[8], q[0];
crz(0.0426) q[7], q[8];
crz(0.2396) q[6], q[7];
crz(0.0031) q[5], q[6];
crz(-0.25... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 29], "expectation_value": -0.24495540942392782, "params": [[-0.0882], [0.0814]], "bitstrings": ["010110", "100010"], "total_optimization_steps": 10, "probabilities": [0.01790206744940319, 0.01874486769145149], "optimization_time": 1.9018261432647705} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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];
cx q[1], q[0];
rz(-0.0882) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0882) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0882) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0882) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1... | null | {"circuits": [], "gradients": []} |
1488d8cf8514de14dc21aa1b6b5c22ab | 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": 7}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 2, "source":... | {"states": [1280, 1284], "expectation_value": -12.565241752313439, "params": [0.0275, 0.34140000000000004, -0.023200000000000002, 0.0007, 1.0514000000000001, 0.5252, 2.0942000000000003, 0.0039000000000000003, -0.003, -0.7962, -0.003, 0.0099, 1.5841, 0.45980000000000004, 1.5532000000000001, 0.0022, 0.0028, -0.7804, 0.00... | -0.25 * (Z(0) @ Z(9)) + -0.5 * (Z(2) @ Z(9)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(9)) + -1.25 * (Z(8... | 5 | 12 | 1 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["101011111011", "101011111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0275) q[0];
rz(0.3414) q[0];
rx(1.0514) q[1];
rz(0.5252) q[1];
rx(-0.003) q[2];
rz(-0.7962) q[2];
rx(1.5841) q[3];
rz(0.4598) q[3];
rx(0.0028) q[4];
rz(-0.7804) q[4];
rx(0.0029) q[5];
rz(-0.8996) q[5];
rx(0.0029) q[6];
rz(-0.8598) q[6];
rx(-0.0029) 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": []} |
67f2dc7231d0bca43ec43f13d2867d44 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [1183, 31], "expectation_value": -22.49329759869558, "params": null, "bitstrings": ["01101100000", "11111100000"], "total_optimization_steps": 100, "probabilities": [0.09355560372007728, 0.4766002451415297], "optimization_time": 258.69042563438416} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(4)) + -1.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["11111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-1.5709) q[0];
ry(-0.4397) q[1];
ry(-1.5708) q[5];
ry(-0.6859) q[4];
cry(-0.5928) q[3], q[1];
ry(-1.4951) q[3];
cry(-0.8259) q[2], q[1];
ry(-1.5229) q[2];
cry(-0.8849... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) 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] = m... |
97aa58ef0b431934bfaa14698e7612e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 26], "expectation_value": -2.777927930726076, "params": null, "bitstrings": ["1000111", "1100101"], "total_optimization_steps": 33, "probabilities": [0.09171134487155203, 0.796704931832939], "optimization_time": 75.41668844223022} | 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(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8125, "smallest_bitstrings": ["0101101", "1100101", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4868) q[4];
ry(-1.445) q[6];
cry(-1.3016) q[5], q[1];
ry(1.2945) q[2];
cry(-1.3048) q[3], q[0];
ry(0.7847) q[3];
ry(-0.5326) q[0];
ry(0.7838) q[5];
cry(0.505) q[2], q[3];
ry(-0.453) q[1];
cry(0.4531... | 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(-1.4868) 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", ... |
182a069273641020dc26595ce4905930 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [338, 346], "expectation_value": -2.6237073047829598, "params": [[1.4055, 0.009600000000000001, 1.4015, 0.0022, 0.9426, 0.7657, 0.1073, 1.4073, 0.0014], [1.4046, 0.1922, 1.4055, 0.0021000000000000003, 1.4047, 1.4075, 0.36310000000000003, 1.4062000000000001, 0.1834]], "bitstrings": ["010101101", "010100101"],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["010110010", "010100011", "001100101", "100100101", "001110100", "010100101", "110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.4055) q[0];
ry(0.0096) q[1];
ry(1.4015) q[2];
ry(0.0022) q[3];
ry(0.9426) q[4];
ry(0.7657) q[5];
ry(0.1073) q[6];
ry(1.4073) q[7];
ry(0.0014) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
d6ca78958a015bca449989b3cc828628 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [7, 71], "expectation_value": -3.700373550207027, "params": [[[1.6285, 0.004], [-0.0018000000000000002, 0.0098], [1.495, 0.0094], [-0.0031000000000000003, 0.0027], [1.7087, 0.009600000000000001], [1.701, 0.0027], [1.7003000000000001, 0.0077]]], "bitstrings": ["1111000", "0111000"], "total_optimization_steps"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101000", "0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6285) q[0];
rz(0.004) q[0];
rx(-0.0018) q[1];
rz(0.0098) q[1];
rx(1.495) q[2];
rz(0.0094) q[2];
rx(-0.0031) q[3];
rz(0.0027) q[3];
rx(1.7087) q[4];
rz(0.0096) q[4];
rx(1.701) q[5];
rz(0.0027) q[5];
rx(1.7003) q[6];
rz(0.0077) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
-5606904408919019912 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 1, 6], [4, 6], [3, 5, 6], [1, 3], [0, 1, 2, 5]]} | {"states": [35, 51], "expectation_value": -2.086556966853401, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 43, "probabilities": [0.11887409793509456, 0.7318075065917928], "optimization_time": 57.83722472190857} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["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(1.4074) q[5];
cry(-1.0311) q[6], q[4];
ry(0.9736) q[6];
cry(-1.1793) q[1], q[3];
ry(0.9792) q[1];
ry(-0.7511) q[4];
ry(-0.6551) q[3];
cry(0.4708) q[5], q[6];
cry(0.4442) q[5], q[1];
cry(-0.7649) q[1], ... | 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(1.4074) 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];\nc[6] = measure q[6];\n", "... |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.04088422511840967, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0322, -0.0443, -0.033800000000000004]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.479557887440795, 0.5204421125592047], "optimization_time": 1.0195696353912354} | -1.0 * Z(0) | 5 | 1 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
rz(-0.0924) q[0];
h q[0];
rz(-0.0644) q[0];
h q[0];
rz(-0.1062) q[0];
h q[0];
rz(-0.0886) q[0];
h q[0];
rz(-0.0668) q[0];
h q[0];
rz(-0.0676) q[0];
h q[0];
c[0] = measure q[0]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
rz(x2) q[0];
h q[0];
rz(x3) q[0];
h q[0];
rz(x4) q[0];
h q[0];
rz(x5) q[0];
h q[0];
c[0] =... | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} |
86bffc9e1d8a6ccff4432e6ca171cbfd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [4080, 4088], "expectation_value": -17.276838936887945, "params": [-1.3646, -1.2072, 0.034300000000000004, -0.0444, -1.1583, 0.42410000000000003, 1.5653000000000001, 1.5763, 0.011300000000000001, -0.018000000000000002, 1.0170000000000001, -1.0072, -1.5699, -0.7939, 0.0688, -0.0684, -0.249, -0.3118, 0.1249000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 *... | 14 | 12 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-1.3646) q[0];
ry(0.0343) q[1];
ry(-1.1583) q[2];
ry(1.5653) q[3];
ry(0.0113) q[4];
ry(1.017) q[5];
ry(-1.5699) q[6];
ry(0.0688) q[7];
ry(-0.249) q[8];
ry(0.1249) q[9];
ry(0.0023) q[10];
ry(0.0023) q[11];
crx(2.3827) q[11], q[0];
crx(2.6122) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 11} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -0.6176383790199662, "params": [[0.0763, 0.07350000000000001], [-0.0825, -0.07590000000000001]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.022544678330206947, 0.022544678330206964], "optimization_time": 2.837254047393799} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -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": ["100011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0763) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0763) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0763) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.0763) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.0763... | 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... | null | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [187, 109], "expectation_value": -8.738285477936438, "params": [[0.0548], [-0.0682]], "bitstrings": ["01000100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0069797362085650275, 0.007593520282792381], "optimization_time": 1.7314660549163818} | 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(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "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(0.4384) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.4384) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.4384) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.4384) q[4];
cx q[1], q[4];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
8ff856a49bd466ed41fc36c41ae9a42c | 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": [166, 422], "expectation_value": -100.94783986100305, "params": [-0.0025, 0.0067, -0.002, 0.008400000000000001, 1.5724, 0.0095, 2.9936000000000003, 0.0016, 1.3587, 0.0015, 3.0019, 0.0036000000000000003, 0.003, 0.0037, 0.7452000000000001, 0.0006000000000000001, 2.9945, 0.008400000000000001, 2.9924, 0.00260000... | 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 14.5 * Z(3) + -3.5 * Z(0) + 7.0 * Z(2) + 11.5 * Z(4) + 5.5 * Z(5) + -6.5 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["11001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0025) q[0];
rz(0.0067) q[0];
rx(-0.002) q[1];
rz(0.0084) q[1];
rx(1.5724) q[2];
rz(0.0095) q[2];
rx(2.9936) q[3];
rz(0.0016) q[3];
rx(1.3587) q[4];
rz(0.0015) q[4];
rx(3.0019) q[5];
rz(0.0036) q[5];
rx(0.003) q[6];
rz(0.0037) q[6];
rx(0.7452) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -0.20198885376877546, "params": [[0.0635, -0.020800000000000003, -0.0565], [-0.0752, -0.0402, 0.0322]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.018288665256314184, 0.01913857715611442], "optimization_time": 6.103644847869873} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0635) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0635) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0635) q[1];
cx q[3], q[1];
cx q[5], q[1];
rz(0.0635) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0635... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
5dad688a93671469362a3d3d00961b05 | edge_cover | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 5], "expectation_value": -1.2724291649170278, "params": [[[0.5524, 0.0078000000000000005], [0.5563, 0.0098], [1.6115000000000002, 0.0046], [0.0027, 0.0012000000000000001], [1.6093000000000002, 0.0014]]], "bitstrings": ["11011", "11010"], "total_optimization_steps": 160, "probabilities": [0.21409591062816... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "10011", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.5524) q[0];
rz(0.0078) q[0];
rx(0.5563) q[1];
rz(0.0098) q[1];
rx(1.6115) q[2];
rz(0.0046) q[2];
rx(0.0027) q[3];
rz(0.0012) q[3];
rx(1.6093) q[4];
rz(0.0014) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [20, 35], "expectation_value": -0.25258925580596625, "params": [[0.0646, 0.0269], [-0.0665, -0.0333]], "bitstrings": ["101011", "011100"], "total_optimization_steps": 10, "probabilities": [0.017971986046565837, 0.01890470526811416], "optimization_time": 2.466193914413452} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0646) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0646) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0646) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0646) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0646... | 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[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[0], q[2];
rz(x0) q[2];
c... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 5.139496564865112} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[3];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[2];
cry(-0.1259) q[1], q[3];
cry(0.1248) q[1], q[0];
cry(0.1242) q[0], q[1];
cry(-0.0005) q[0], q[2];
c[0] = measure q[0];
c[1] = measure... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[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];\... |
a617cd4648156ddc77f993201a7a952c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -16.533861705034482, "params": [0.10600000000000001, 0.2091, 0.33940000000000003, -0.1012, 0.43670000000000003, -0.10020000000000001, 0.3578, -0.0128, 0.4449, 0.08660000000000001, 0.4998, -0.0046, 0.49250000000000005, 0.0028, 0.4675, 0.0056, 0.1019, 0.21100000000000002, 0.1427, 0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.106) q[0];
rz(0.2091) q[0];
rx(0.3394) q[1];
rz(-0.1012) q[1];
rx(0.4367) q[2];
rz(-0.1002) q[2];
rx(0.3578) q[3];
rz(-0.0128) q[3];
rx(0.4449) q[4];
rz(0.0866) q[4];
rx(0.4998) q[5];
rz(-0.0046) q[5];
rx(0.4925) q[6];
rz(0.0028) q[6];
rx(0.4675) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [33, 183], "expectation_value": -0.583417500706687, "params": [[-0.052500000000000005], [0.0601]], "bitstrings": ["111011110", "101001000"], "total_optimization_steps": 10, "probabilities": [0.002500697113494027, 0.002521028275967321], "optimization_time": 2.226732015609741} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"]} | 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(0.0525) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(0.1313) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0788) q[1];
cx q[2], q[1];
cx q[6], q[1];
rz(0.1838) q[1];
cx q[6], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
8b0829a4716cfd4aaf65ab9c9808485b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [180, 177], "expectation_value": -4.4546808128134865, "params": [0.9073, -0.11860000000000001, 0.9012, 0.0008, -0.0063, -0.40640000000000004, -0.0064, 0.0027, 0.9011, -0.11860000000000001, 0.9091, 0.0016, 0.9043, -0.1057, 0.9034000000000001, 0.0015, -0.005200000000000001, 0.48660000000000003, -0.006900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(6) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01001110", "01001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9073) q[0];
rz(-0.1186) q[0];
rx(-0.0063) q[1];
rz(-0.4064) q[1];
rx(0.9011) q[2];
rz(-0.1186) q[2];
rx(0.9043) q[3];
rz(-0.1057) q[3];
rx(-0.0052) q[4];
rz(0.4866) q[4];
rx(0.9024) q[5];
rz(-0.4219) q[5];
rx(0.002) q[6];
rz(0.4574) q[6];
rx(0.9074) 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": []} |
e51dfcff5e0bdd7b2829bd7421abac35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.780318297445401, "params": [-0.0033, 0.006200000000000001, 0.0024000000000000002, 0.0095, 0.0027, 0.0085, 0.0025, 0.0019, -0.0027, 0.0013000000000000002, 0.0026000000000000003, 0.0007, -0.0027, 0.009600000000000001, 0.0024000000000000002, 0.0035, 1.1791, 0.0027, 1.601200000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(6) ... | 3 | 10 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110", "1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.0062) q[0];
rx(0.0024) q[1];
rz(0.0095) q[1];
rx(0.0027) q[2];
rz(0.0085) q[2];
rx(0.0025) q[3];
rz(0.0019) q[3];
rx(-0.0027) q[4];
rz(0.0013) q[4];
rx(0.0026) q[5];
rz(0.0007) q[5];
rx(-0.0027) q[6];
rz(0.0096) q[6];
rx(0.0024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
2167743483924607683 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5], [2, 3, 7], [4, 7], [0, 1], [1, 2, 6, 7]]} | {"states": [122, 87], "expectation_value": -0.9045847868631992, "params": [[0.48140000000000005], [-0.4012]], "bitstrings": ["10000101", "10101000"], "total_optimization_steps": 50, "probabilities": [0.01690352925412294, 0.01690352925412295], "optimization_time": 2.1612846851348877} | 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["10000101", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[2];
rz(0.4814) q[2];
cx q[5], q[2];
cx q[2], q[3];
rz(0.1605) q[3];
cx q[2], q[3];
cx q[2], q[7];
rz(0.2407) q[7];
cx q[2], q[7];
cx q[3], q[7];
rz(0.1605) q[7];
cx q[3], q[7];
cx q[7],... | 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[5], q[2];
rz(x0) q[2];
cx q[5],... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [109, 157], "expectation_value": -0.4735175203063817, "params": [[-0.0648, -0.0731, -0.0565, -0.0594], [0.069, 0.0779, 0.0682, 0.0697]], "bitstrings": ["10010010", "01100010"], "total_optimization_steps": 10, "probabilities": [0.008993231705459272, 0.008993231705459273], "optimization_time": 16.0950696468353... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "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(-0.0648) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0648) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0162) q[0];
cx q[2], q[0];
cx q[4], q[0];
rz(-0.0162) q[0];
cx q[4], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-403725084557229530 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 5], [0, 11, 7], [8, 4, 6], [1, 6, 7], [2, 5], [8, 2], [3, 7], [2, 11], [1, 11, 4, 6], [8, 9, 0, 7], [1, 10, 3], [0, 10], [1, 2], [9, 10, 5, 7], [1, 3, 6], [8, 0, 11, 6], [11, 9, 3], [3, 1, 11, 5], [1, 10, 4], [9, 6], [2, 7], [8, 10], [9, 2], [8, 3... | {"states": [1335, 3383], "expectation_value": -6.603929739772139, "params": [[[1.5763, 0.0047], [2.7961, 0.0026000000000000003], [0.7765000000000001, 0.0015], [2.7947, 0.006900000000000001], [0.3689, 0.008], [0.9743, 0.0026000000000000003], [2.1278, 0.0059], [2.7943000000000002, 0.0092], [1.5247000000000002, 0.0028], [... | 0.3333333333333333 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(11)) + 0.41666666666666663 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(11)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.41666666666666663 * (Z(9) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.416666666666663, "smallest_bitstrings": ["001011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5763) q[0];
rz(0.0047) q[0];
rx(2.7961) q[1];
rz(0.0026) q[1];
rx(0.7765) q[2];
rz(0.0015) q[2];
rx(2.7947) q[3];
rz(0.0069) q[3];
rx(0.3689) q[4];
rz(0.008) q[4];
rx(0.9743) q[5];
rz(0.0026) q[5];
rx(2.1278) q[6];
rz(0.0059) q[6];
rx(2.7943) 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": []} |
-3316811709459775078 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5, 6], [1, 2, 3], [0, 4, 5, 6], [0, 1, 2, 6], [0, 2, 4], [3, 4, 5, 6], [2, 4, 6], [1, 2, 5, 6], [2, 3, 4]]} | {"states": [111, 109], "expectation_value": -2.2667466821471782, "params": [1.9715, 0.32730000000000004, 1.1206, 0.0055000000000000005, 1.9212, 0.3592, 1.2039, 0.0024000000000000002, 0.5415, 1.0107000000000002, 0.39880000000000004, 0.0067, 1.943, 0.3216, 1.1735, 0.0006000000000000001, 1.9605000000000001, 0.3438, 1.1687... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333334, "smallest_bitstrings": ["0010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.9715) q[0];
rz(0.3273) q[0];
rx(1.9212) q[1];
rz(0.3592) q[1];
rx(0.5415) q[2];
rz(1.0107) q[2];
rx(1.943) q[3];
rz(0.3216) q[3];
rx(1.9605) q[4];
rz(0.3438) q[4];
rx(1.2693) q[5];
rz(0.8493) q[5];
rx(1.9746) q[6];
rz(0.2753) q[6];
crz(0.3561) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
106ffe6382c828a8ce4e8948ba3fbc79 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight":... | {"states": [782, 270], "expectation_value": -52.029966785876034, "params": [[[0.7871, -0.5373], [1.5704, 0.0032], [0.003, 1.0386], [-0.0025, 1.3701], [0.0027, -1.0868], [-0.0053, 0.9507000000000001], [1.5713000000000001, 0.0028], [1.5681, -0.0018000000000000002], [1.5757, -0.002], [0.0024000000000000002, -1.0926]], [[0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + -2.5 * Z(2) + -0.5 * Z(0) + 4.5 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-52.5, -52.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -51.5, "smallest_bitstrings": ["1011110001", "0111100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7871) q[0];
rz(-0.5373) q[0];
rx(1.5704) q[1];
rz(0.0032) q[1];
rx(0.003) q[2];
rz(1.0386) q[2];
rx(-0.0025) q[3];
rz(1.3701) q[3];
rx(0.0027) q[4];
rz(-1.0868) q[4];
rx(-0.0053) q[5];
rz(0.9507) q[5];
rx(1.5713) q[6];
rz(0.0028) q[6];
rx(1.5681) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-7394651515287594682 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 7], [1, 6], [8, 9], [8, 7], [0, 7], [0, 8], [0, 6], [6, 7], [0, 3], [8, 2], [9, 4], [3, 5], [9, 2], [2, 3], [8, 5], [9, 6], [1, 4], [2, 6], [4, 7], [5, 6]]} | {"states": [917, 106], "expectation_value": -0.2583315517070382, "params": [[0.07880000000000001], [-0.085]], "bitstrings": ["0001101010", "1110010101"], "total_optimization_steps": 10, "probabilities": [0.0013755563809622717, 0.0013755563809622717], "optimization_time": 13.014902114868164} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110010101", "0001101010"]} | 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[7], q[5];
rz(0.0788) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(0.0788) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(0.0788) q[6];
cx q[5], q[6];
cx q[6], q[1];
rz(0.0788) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(x0) q[6];
cx q... | null | {"circuits": [], "gradients": []} |
3eae9571be99206e8d251c5f1caa9c72 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [127, 511], "expectation_value": -9.22061248974033, "params": null, "bitstrings": ["110000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.13474663873330517, 0.44720699062501], "optimization_time": 142.32146549224854} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[4], q[3];
cry(1.5708) q[3], q[2];
cry(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5708) q[8], q[5];
cry(0.4026) q[5], q[8];
cry(1.5705) q[8], q[6];
cry(1.5486) q[0], q[1];
cry(... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.0735131250391834, "params": [[0.0529], [-0.06720000000000001]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 20, "probabilities": [0.00843288928853289, 0.008539130719520373], "optimization_time": 1.2764651775360107} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0529) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0529) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(0.0529) q[3];
cx q[0], q[3];
cx q[5], q[1];
rz(0.0529) q[1];
cx q[5], q[1];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
eba36988c182e1517218a60a482e00a5 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [42, 298], "expectation_value": -4.867189817460832, "params": [0.8639, -0.0024000000000000002, 0.8608, 0.004, 0.0006000000000000001, -0.46840000000000004, 0.0008, 0.0027, 0.0021000000000000003, 0.45270000000000005, 0.0037, 0.0095, 0.9076000000000001, 0.0195, 0.9023, 0.0037, 0.0012000000000000001, 0.5361, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(4) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010110", "111010001", "011010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8639) q[0];
rz(-0.0024) q[0];
rx(0.0006) q[1];
rz(-0.4684) q[1];
rx(0.0021) q[2];
rz(0.4527) q[2];
rx(0.9076) q[3];
rz(0.0195) q[3];
rx(0.0012) q[4];
rz(0.5361) q[4];
rx(0.903) q[5];
rz(0.2663) q[5];
rx(0.6955) q[6];
rz(0.0865) q[6];
rx(0.9065) 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": []} |
-8952435335179545549 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6], [0, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 2, 3, 7]]} | {"states": [182, 55], "expectation_value": -0.21740749561327694, "params": [[0.2667], [-0.2601]], "bitstrings": ["01001001", "11001000"], "total_optimization_steps": 30, "probabilities": [0.005194970177135929, 0.00519497017713593], "optimization_time": 2.9475209712982178} | 0.05 * (Z(1) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8500000000000003, -0.8500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8500000000000001, "smallest_bitstrings": ["00101000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0267) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0711) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0267) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0267) q[4];
cx q[2], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 27], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100000", "1100100"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 29.30328893661499} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"]} | 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(1.5681) q[5];
cry(1.5681) q[6], q[3];
ry(1.0378) q[6];
cry(-1.5705) q[6], q[0];
cry(-1.5707) q[5], q[1];
ry(0.4432) q[3];
cry(0.2657) q[5], q[6];
cry(1.4449) q[5], q[2];
cry(0.1283) q[5], q[3];
cry(0.0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) 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", "... |
b0feb3aae3343307d568064fd81cd991 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [70, 44], "expectation_value": -0.5794393189121687, "params": [[-0.0729, -0.0415], [0.07980000000000001, 0.0664]], "bitstrings": ["0111001", "1010011"], "total_optimization_steps": 10, "probabilities": [0.01077566096513229, 0.011160180484462937], "optimization_time": 3.347414493560791} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010011", "1011001", "0111001"]} | 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(-0.0729) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0729) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0729) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0729) q[3];
cx q[0], q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
-2709347430080956248 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 2, 4], [4, 5, 6, 7], [1, 2, 6], [0, 3, 4], [0, 9, 4, 1], [0, 1, 2, 5], [8, 9, 2], [9, 3, 4, 6], [1, 3, 7], [0, 4, 6], [9, 5, 6], [1, 2, 4, 5], [9, 7], [1, 3, 5], [8, 1, 7], [8, 9, 3, 5], [9, 4, 5, 1], [1, 2, 7], [8, 3, 4], [0, 2, 3], [0, 8, 6, 9]]} | {"states": [491, 489], "expectation_value": -5.060436119711414, "params": [0.1226, -1.1687, 0.1087, 0.0073, 2.2729, 0.224, 0.8566, 0.0004, 2.2845, 0.2843, 0.8385, 0.0033, 2.2689, 0.2497, 0.8523000000000001, 0.0068000000000000005, 2.2729, 0.2788, 0.8521000000000001, 0.0007, 0.5786, 1.1001, 0.556, 0.0, 2.2704, 0.2888, 0.... | 0.25 * (Z(0) @ Z(9)) + 0.25 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.33... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.000000000000001, "smallest_bitstrings": ["1000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1226) q[0];
rz(-1.1687) q[0];
rx(2.2729) q[1];
rz(0.224) q[1];
rx(2.2845) q[2];
rz(0.2843) q[2];
rx(2.2689) q[3];
rz(0.2497) q[3];
rx(2.2729) q[4];
rz(0.2788) q[4];
rx(0.5786) q[5];
rz(1.1001) q[5];
rx(2.2704) q[6];
rz(0.2888) q[6];
rx(-0.0072) 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": []} |
029986633f537c33e6750e1dcdf6914f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [83, 87], "expectation_value": -125.46556379180873, "params": [0.0029000000000000002, 1.0639, 0.0028, 1.3351, 0.0026000000000000003, -0.8882, 0.0028, 1.3404, 0.3622, 0.785, 1.6341, 0.3039, 0.0029000000000000002, 1.1704, 1.5772000000000002, 0.0004, 0.0054, 1.0234, 0.8999, -0.1148, 1.6075000000000002, 0.062400... | 8.5 * (Z(0) @ Z(5)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(4)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(9) @ Z(7)) + 8.5 * (Z(6) @ Z(10)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(10)) + 9.5 * Z(5) + -4.5 * Z(0) + 11.0 * Z(4) + 15.0 * Z(7) + 3.5 * Z(8) + 6.0 * Z(9) + 9.0 * Z(10) + -7.0 * Z(6) + 6.0 * Z(1... | 16 | 12 | 2 | {"smallest_eigenvalues": [-131.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["111110101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0029) q[0];
rz(1.0639) q[0];
rx(0.0028) q[1];
rz(1.3351) q[1];
rx(0.0026) q[2];
rz(-0.8882) q[2];
rx(0.0028) q[3];
rz(1.3404) q[3];
rx(0.3622) q[4];
rz(0.785) q[4];
rx(1.6341) q[5];
rz(0.3039) q[5];
rx(0.0029) q[6];
rz(1.1704) q[6];
rx(1.5772) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57214, 56190], "expectation_value": -13.456508576353416, "params": [[0.1842, 1.1586, -0.025, 1.0993, 0.5874, 0.1648, 0.5474, 0.0033, -0.6089, 0.5252, 0.059800000000000006, -0.0008, 0.25320000000000004, 0.0002, 0.1203, -0.0164], [1.9721000000000002, 1.2877, -0.0063, 2.1493, 0.7482000000000001, 0.666800000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 10 | 16 | 3 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.1842) q[0];
ry(1.1586) q[1];
ry(-0.025) q[2];
ry(1.0993) q[3];
ry(0.5874) q[4];
ry(0.1648) q[5];
ry(0.5474) q[6];
ry(0.0033) q[7];
ry(-0.6089) q[8];
ry(0.5252) q[9];
ry(0.0598) q[10];
ry(-0.0008) q[11];
ry(0.2532) q[12];
ry(0.0002) q[13];
ry(0.1203) 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[... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} |
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