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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
89f87b4bec5b392e93d27e26f6c760da | 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}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"sourc... | {"states": [16382, 32767], "expectation_value": -18.56690844732156, "params": [[[-0.9686, 1.1117000000000001], [0.1179, 1.1131], [-0.0021000000000000003, 0.49410000000000004], [-0.0029000000000000002, -0.0017000000000000001], [-0.0034000000000000002, -0.0034000000000000002], [-0.0026000000000000003, -0.0016], [-0.00260... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + -2.0 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 1.0 * (Z(12) @ Z(10)) + -2.0 * (Z(12) @ Z(9)) + -2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(12)) + -2.0 * (Z(13) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ ... | 15 | 15 | 1 | {"smallest_eigenvalues": [-25.999999999999805], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.999999999999776, "smallest_bitstrings": ["000000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.9686) q[0];
ry(0.1179) q[1];
ry(-0.0021) q[2];
ry(-0.0029) q[3];
ry(-0.0034) q[4];
ry(-0.0026) q[5];
ry(-0.0026) q[6];
ry(-0.0033) q[7];
ry(-0.0028) q[8];
ry(-0.003) q[9];
ry(0.0019) q[10];
ry(0.0019) q[11];
ry(-0.0029) q[12];
ry(0.0032) q[13];
ry(-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": 14} | {"circuits": [], "gradients": []} |
d75363653ef00cde7e482c2c3392dff7 | 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": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [10, 11], "expectation_value": -5.338172012372656, "params": [0.0009000000000000001, 0.4344, -0.0024000000000000002, -0.449, -0.0026000000000000003, 1.5868, -0.0028, 2.1104000000000003, 0.0028, 1.3773, -1.3951, -0.0019, 0.0001, 2.0787, 1.5724, 0.8611000000000001, 0.8946000000000001, 0.5800000000000001, 0.001... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0009) q[0];
rz(0.4344) q[0];
rx(-0.0024) q[1];
rz(-0.449) q[1];
rx(-0.0026) q[2];
rz(1.5868) q[2];
rx(-0.0028) q[3];
rz(2.1104) q[3];
rx(0.0028) q[4];
rz(1.3773) q[4];
rx(-1.3951) q[5];
rz(-0.0019) q[5];
rx(0.0001) q[6];
rz(2.0787) q[6];
rx(1.5724) 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": 8} | {"circuits": [], "gradients": []} |
a71cab9e3ba720ee8fc5b11fa692bee6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [327, 455], "expectation_value": -6.228210860915735, "params": [0.3043, 0.3005, 0.2994, 0.2995, 0.3025, 0.2989, 0.0198, 0.0221, 0.0, -0.0033, 0.018600000000000002, 0.0207, 0.3015, 0.3095, 0.29960000000000003, 0.30610000000000004, 0.3048, 0.3047, 0.3038, 0.3084, 0.302, 0.3062, 0.3044, 0.3028, 0.025, 0.0215000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(3) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3043) q[0];
ry(0.2994) q[1];
ry(0.3025) q[2];
ry(0.0198) q[3];
ry(0) q[4];
ry(0.0186) q[5];
ry(0.3015) q[6];
ry(0.2996) q[7];
ry(0.3048) q[8];
crz(-0.0005) q[8], q[0];
crz(-0.0033) q[7], q[8];
crz(0.0017) q[6], q[7];
crz(0.1552) q[5], q[6];
crz(-0.1687) 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": []} |
e2cbf83d8a4377682b0162d93453c5a7 | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [0, 496], "expectation_value": -15.783075550110873, "params": [[[0.0025, 0.007500000000000001], [-0.0028, 0.0055000000000000005], [0.0022, 0.0022], [0.0022, 0.0057], [1.6059, 0.0097], [0.0029000000000000002, 0.0009000000000000001], [0.0022, 0.0049], [0.0024000000000000002, 0.0098], [0.767, 0.0054]]], "bitstr... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 ... | 2 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0025) q[0];
rz(0.0075) q[0];
rx(-0.0028) q[1];
rz(0.0055) q[1];
rx(0.0022) q[2];
rz(0.0022) q[2];
rx(0.0022) q[3];
rz(0.0057) q[3];
rx(1.6059) q[4];
rz(0.0097) q[4];
rx(0.0029) q[5];
rz(0.0009) q[5];
rx(0.0022) q[6];
rz(0.0049) q[6];
rx(0.0024) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"node": 9} | {"circuits": [], "gradients": []} |
e0516bb518ee285d23a8010370ebd407 | 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": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1918, 1854], "expectation_value": -2.6886634968895122, "params": [0.1748, 0.1526, 0.17400000000000002, 0.1535, 0.3169, 0.0758, 0.3221, 0.08600000000000001, 0.3093, 0.0776, 0.3078, 0.0897, 0.3547, -0.0395, 0.3543, -0.0252, -0.0057, 0.22890000000000002, -0.0033, 0.2338, 0.1694, 0.1451, 0.1716, 0.1385, 0.36110... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(5) @ Z(0)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(5) @ Z(3)) + 0.03125 * (Z(6) @ Z(3)) + 0.03125 * (Z(3) ... | 7 | 12 | 4 | {"smallest_eigenvalues": [-3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.78125, "smallest_bitstrings": ["010011100000", "0100110000... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1748) q[0];
rz(0.1526) q[0];
rx(0.3169) q[1];
rz(0.0758) q[1];
rx(0.3093) q[2];
rz(0.0776) q[2];
rx(0.3547) q[3];
rz(-0.0395) q[3];
rx(-0.0057) q[4];
rz(0.2289) q[4];
rx(0.1694) q[5];
rz(0.1451) q[5];
rx(0.3611) q[6];
rz(0.0117) q[6];
rx(0.3976) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [255, 251], "expectation_value": -7.989972529209846, "params": [[[0.0857, 0.0286], [-0.0028, 0.008400000000000001], [-0.0011, 0.0028], [-0.006900000000000001, 0.0025], [-0.00030000000000000003, -0.0025], [-0.001, -0.0028], [0.5399, -0.026000000000000002], [-1.1509, -0.053000000000000005], [1.5212, 0.33380000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 15 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0857) q[0];
ry(-0.0028) q[1];
ry(-0.0011) q[2];
ry(-0.0069) q[3];
ry(-0.0003) q[4];
ry(-0.001) q[5];
ry(0.5399) q[6];
ry(-1.1509) q[7];
ry(1.5212) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -1.371221744357199, "params": [[0.0738, 0.0787], [-0.0599, -0.0745]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004719959192397043, 0.004744877243420546], "optimization_time": 4.310921907424927} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"]} | 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[5], q[0];
rz(-0.0369) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(-0.1107) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(-0.1107) q[1];
cx q[2], q[1];
cx q[5], q[6];
rz(-0.1107) q[6];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 69.6365077495575} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8231) q[4];
cry(-1.5708) q[3], q[2];
ry(0.8108) q[3];
ry(-0.4038) q[1];
ry(-0.3329) q[0];
ry(-0.2881) q[2];
cry(0.3811) q[4], q[5];
cry(0.37... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
-4103587775195423515 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [0, 1], [1, 3], [5, 6]]} | {"states": [49, 50], "expectation_value": -0.04221515852251651, "params": [[0.0789], [-0.07780000000000001]], "bitstrings": ["1001110", "1001101"], "total_optimization_steps": 10, "probabilities": [0.008488572112986432, 0.008488572112986432], "optimization_time": 1.284379243850708} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["0100001", "1011001", "1011010", "0100010", "1001110", "10011... | 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[1];
rz(0.0263) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0263) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.0263) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(0.0789) q[0];
cx q[1], q[0];
cx q[1], 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 20.853246450424194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[5];
cry(-0.3789) q[2], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ec7f14adb1b1c692b11deac79fc27623 | 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": [165, 167], "expectation_value": -88.05347497113543, "params": [[[1.2936, 0.2826], [0.0205, 0.2765], [1.3028, 1.2347000000000001], [0.1773, 1.2588000000000001], [0.4983, 0.7434000000000001], [-0.1015, 1.2998], [-0.2076, 0.3788], [0.40740000000000004, 1.2927], [0.0063, 1.2934], [-1.2446000000000002, 1.2791000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 9.0 * Z(1) + 8.5 * Z(2) + 2.0 * Z(5) + 17.0 * Z(4) + 3.5 * Z(3) + 15.5 * Z(7) + 16.5 * Z(8) + 7.0 * ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.2936) q[0];
ry(0.0205) q[1];
ry(1.3028) q[2];
ry(0.1773) q[3];
ry(0.4983) q[4];
ry(-0.1015) q[5];
ry(-0.2076) q[6];
ry(0.4074) q[7];
ry(0.0063) q[8];
ry(-1.2446) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
e1c0114d123570cf4f69a41c3d9da440 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [1760, 1790], "expectation_value": -1.4549309403854827, "params": [[0.07010000000000001], [-0.0625]], "bitstrings": ["00100011111", "00100000001"], "total_optimization_steps": 10, "probabilities": [0.000886236612793919, 0.0009316569555056029], "optimization_time": 2.2380499839782715} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + -1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00100000001"]} | 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(-0.2804) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.2804) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.2103) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.3505... | 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[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];
c... | {"node": 11} | {"circuits": [], "gradients": []} |
6c28370939b7d49c2e67d552301e0191 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -7.030566850170597, "params": [[0.0459], [-0.051000000000000004]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0034344846083944904, 0.00371180255305354], "optimization_time": 2.099984645843506} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.4131) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.4131) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.4131) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.4131) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 162.18250250816345} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-3.4097) q[3];
ry(21.0543) q[2];
cry(-43.1702) q[2], q[3];
ry(14.4209) q[1];
ry(18.1586) q[4];
cry(-55.7026) q[1], q[3];
cry(28.9006) q[1], q[2];
ry(20.8652) q[0];
cry(10.9) q[1], q[4];
cry(8.6... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-3.4097) 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... |
b3537f2efdfe83419ab29e4b33e9908d | 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": [1458, 1362], "expectation_value": -74.4905803253744, "params": [[[1.3073000000000001, -0.0032, 0.0047, 0.008], [0.0016, -0.0067, 0.006, 0.01], [1.2984, 0.0066, 0.0046, -0.0001], [-0.014400000000000001, -0.0261, 0.4641, 0.0055000000000000005], [0.8441000000000001, -0.0033, 0.0077, -0.00030000000000000003], [... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + -5.5 * Z(1) + -1.5 * Z(0) + 10.0 * Z(2) + 3.0 * Z(3) + 8.5 * Z(4) + 2.5 * Z(5) + 10.0 * Z(6) + -3.0 * Z(7) + 1.5 * Z(8) + 0.0 * Z(9) + -12.5 * Z... | 12 | 11 | 2 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3073) q[0];
rz(-0.0032) q[0];
ry(0.0016) q[1];
rz(-0.0067) q[1];
ry(1.2984) q[2];
rz(0.0066) q[2];
ry(-0.0144) q[3];
rz(-0.0261) q[3];
ry(0.8441) q[4];
rz(-0.0033) q[4];
ry(0.0324) q[5];
rz(0.0029) q[5];
ry(1.3024) q[6];
rz(-0.0002) q[6];
ry(0.0094) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 19.484734058380127} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | 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(-1.5486) q[1];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4416) q[2];
ry(1.4416) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[4], q[3];
cry(0.1243) q[2], q[4];
cry(0.1219) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2398b0b8852b758caa629303970b584b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [830, 494], "expectation_value": -0.23100532093602122, "params": [[0.0747, 0.065, -0.02], [-0.08510000000000001, -0.07690000000000001, -0.029300000000000003]], "bitstrings": ["0011000001", "1000010001"], "total_optimization_steps": 10, "probabilities": [0.001609490961641525, 0.0016094909616415263], "optimiza... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0374) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0374) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0374) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
408df67ce1443f9f30a22680ef4cc499 | 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": [1619, 1107], "expectation_value": -92.09025807853209, "params": [2.698, 0.007, 1.4745000000000001, 0.0057, 0.0029000000000000002, 0.0073, -0.0018000000000000002, 0.0077, 2.7094, 0.00030000000000000003, 0.8128000000000001, 0.005200000000000001, 2.7003, 0.0023, 0.0021000000000000003, 0.0095, -0.00240000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(2) @ Z(10)) + 11.0 * Z(1) + 7.0 * Z(0) + 8.0 * Z(4) + -3.0 * Z(3) + 15.0 * Z(6) + 2.5 * Z(5) + -4.0 * Z(7) + 14.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.0, "smallest_bitstrings": ["01110101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.698) q[0];
rz(0.007) q[0];
rx(1.4745) q[1];
rz(0.0057) q[1];
rx(0.0029) q[2];
rz(0.0073) q[2];
rx(-0.0018) q[3];
rz(0.0077) q[3];
rx(2.7094) q[4];
rz(0.0003) q[4];
rx(0.8128) q[5];
rz(0.0052) q[5];
rx(2.7003) q[6];
rz(0.0023) q[6];
rx(0.0021) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
75472eb4643e3cccfa94243d4fe970ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [12, 140], "expectation_value": -5.904714064163741, "params": [0.2446, -0.0023, 0.2371, -0.002, -0.0039000000000000003, 0.1885, -0.0008, 0.1879, 0.0004, 0.18230000000000002, 0.0059, 0.1837, -0.0122, 0.15990000000000001, -0.0152, 0.16060000000000002, 0.2964, -0.0001, 0.2958, 0.003, 0.3029, -0.0003000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110011", "01100111", "11011001", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2446) q[0];
rz(-0.0023) q[0];
rx(-0.0039) q[1];
rz(0.1885) q[1];
rx(0.0004) q[2];
rz(0.1823) q[2];
rx(-0.0122) q[3];
rz(0.1599) q[3];
rx(0.2964) q[4];
rz(-0.0001) q[4];
rx(0.3029) q[5];
rz(-0.0003) q[5];
rx(0.0027) q[6];
rz(-0.1661) q[6];
rx(0.0053) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
02ad922247dded2921d5944d6e95a575 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [1945, 1949], "expectation_value": -3.00169043744554, "params": [0.0345, 0.017, 0.783, 0.7845000000000001, 0.7774000000000001, 0.7924, 0.7526, 0.6912, 0.6864, 0.6575000000000001, -0.0369, -0.0029000000000000002, -0.0026000000000000003, 0.0005, 0.7875000000000001, 0.7827000000000001, 0.7418, 0.7999, 0.4007, 0... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues"... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0345) q[0];
ry(0.783) q[1];
ry(0.7774) q[2];
ry(0.7526) q[3];
ry(0.6864) q[4];
ry(-0.0369) q[5];
ry(-0.0026) q[6];
ry(0.7875) q[7];
ry(0.7418) q[8];
ry(0.4007) q[9];
ry(0.0837) q[10];
ry(0.8166) q[11];
crx(0.0907) q[11], q[0];
crx(-0.2809) 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[... | null | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -4.472484157074712, "params": [[0.12660000000000002, 0.0235], [-0.1491, -0.1423]], "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [0.03754263493993083, 0.0444623646690743], "optimization_time": 2.82163667678833} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | 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(0.2279) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.4558) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2279) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.0253) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 2} | {"circuits": [], "gradients": []} |
71373317fc8a53f2c08224c79968104e | 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": [1320, 1322], "expectation_value": -53.8106868653289, "params": [[[1.0347, 0.1418], [-0.0391, 0.1811], [1.568, 1.5679], [-1.2915, 1.5678], [-1.5689000000000002, 1.568], [1.568, 1.5726], [1.5681, 1.5731000000000002], [1.5676, 1.5733000000000001], [1.4224, 1.5676], [0.9313, 0.0199], [1.9659000000000002, -0.059... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(5)) + 6.0 * Z(0) + -3.5 * Z(1) + 3.0 * Z(3) + 13.5 * Z(2) + 8.0 * Z(5) + -5.5 * Z(4... | 15 | 11 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["01011010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0347) q[0];
ry(-0.0391) q[1];
ry(1.568) q[2];
ry(-1.2915) q[3];
ry(-1.5689) q[4];
ry(1.568) q[5];
ry(1.5681) q[6];
ry(1.5676) q[7];
ry(1.4224) q[8];
ry(0.9313) q[9];
ry(1.9659) 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [0, 1], "expectation_value": -1.5229101347272724, "params": [[[0.003, 0.3507], [0.0024000000000000002, 0.4112], [0.0029000000000000002, 0.5555], [0.8064, -0.0023]], [[0.0045000000000000005, 0.0034000000000000002], [0.0033, 0.0037], [0.0029000000000000002, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.003) q[0];
rz(0.3507) q[0];
rx(0.0024) q[1];
rz(0.4112) q[1];
rx(0.0029) q[2];
rz(0.5555) q[2];
rx(0.8064) q[3];
rz(-0.0023) q[3];
rx(0.0045) q[0];
rz(0.0034) q[0];
rx(0.0033) q[1];
rz(0.0037) q[1];
rx(0.0029) q[2];
rz(0.0014) q[2];
rx(0.8103) q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
1957966661632482507 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3], [8, 3], [2, 5], [1, 7], [4, 7], [0, 6]]} | {"states": [469, 465], "expectation_value": -1.8999314861022185, "params": [1.4000000000000001, -0.1315, 0.9613, 0.0068000000000000005, 1.4026, -0.1057, 1.3367, 0.0006000000000000001, 1.3986, -0.1515, 1.3368, 0.0097, 0.9414, 0.5915, 0.5981000000000001, 0.0064, 1.3997000000000002, -0.1063, 1.3351, 0.0021000000000000003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["111010001", "000101110", "010111100", "001100110", "011110100", "110011001", "101000011", "100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4) q[0];
rz(-0.1315) q[0];
rx(1.4026) q[1];
rz(-0.1057) q[1];
rx(1.3986) q[2];
rz(-0.1515) q[2];
rx(0.9414) q[3];
rz(0.5915) q[3];
rx(1.3997) q[4];
rz(-0.1063) q[4];
rx(0.4963) q[5];
rz(-0.7009) q[5];
rx(1.1187) q[6];
rz(0.1828) q[6];
rx(0.6341) 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": []} |
4be66989cdca0046acb3f5397a7bad21 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [376, 344], "expectation_value": -3.507073942424514, "params": [0.3952, 0.39630000000000004, -0.010700000000000001, -0.010400000000000001, 0.4, 0.4057, 0.3919, 0.3922, 0.40040000000000003, 0.3997, 0.39230000000000004, 0.3911, 0.39030000000000004, 0.3934, 0.06570000000000001, 0.0649, 0.0506, 0.057300000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100010", "011100110", "010001111", "010100111", "110001011", "110100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3952) q[0];
ry(-0.0107) q[1];
ry(0.4) q[2];
ry(0.3919) q[3];
ry(0.4004) q[4];
ry(0.3923) q[5];
ry(0.3903) q[6];
ry(0.0657) q[7];
ry(0.0506) q[8];
crz(0.1971) q[8], q[0];
crz(-0.1718) q[7], q[8];
crz(0.0009) q[6], q[7];
crz(0.0047) q[5], q[6];
crz(-0.0048)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
01c509cf41fe904ef36f9c73fa58f4df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [116, 117], "expectation_value": -3.024967987976108, "params": [0.9125000000000001, 0.7145, 1.6019, 0.0038, 1.6069, 0.004, 1.6001, -0.0036000000000000003, 0.48050000000000004, -0.0024000000000000002, 1.6041, -0.00030000000000000003, 0.0281, -0.0004, 1.5986, 0.0011, 0.15760000000000002, 1.5769, 1.567100000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101010", "10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9125) q[0];
rz(0.7145) q[0];
rx(1.6019) q[1];
rz(0.0038) q[1];
rx(1.6069) q[2];
rz(0.004) q[2];
rx(1.6001) q[3];
rz(-0.0036) q[3];
rx(0.4805) q[4];
rz(-0.0024) q[4];
rx(1.6041) q[5];
rz(-0.0003) q[5];
rx(0.0281) q[6];
rz(-0.0004) q[6];
rx(1.5986) 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": []} |
f647d4d4d5fd1a411c386e9fbbe2bdeb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [206, 205], "expectation_value": -12.010947272137603, "params": [[0.038200000000000005], [-0.0761]], "bitstrings": ["100110001", "100110010"], "total_optimization_steps": 10, "probabilities": [0.004284543780164224, 0.004475838238438293], "optimization_time": 1.9889109134674072} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(5) @ Z(8)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(5)) + 1.5 * Z(0) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100110010"]} | 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[0], q[2];
rz(0.382) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.382) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.382) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(0.382) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
bf94e6406551047eb54e98577948dda2 | 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": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [87, 7], "expectation_value": -9.660205631297305, "params": null, "bitstrings": ["10101000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.16338252288092867, 0.2774890069729834], "optimization_time": 77.74092817306519} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[3];
ry(-0.7408) q[2];
ry(-1.5708) q[4];
cry(-0.8008) q[1], q[2];
cry(-0.3967) q[0], q[2];
cry(1.5681) q[7], q[5];
cry(1.231) q[5], q[7];
cry(1.57) q[7], q[6];
cry(1.0127) q[6], q[2];... | 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];\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... |
cf866b0685f0f2b92fc41e952765f334 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.035103417953422, "params": [[[0.0051, 1.4693], [0.00030000000000000003, 1.7471], [-1.0445, -0.0002], [0.005200000000000001, 1.6333], [-0.5874, 0.5896], [1.0448, -0.0018000000000000002], [1.0486, 0.0032]], [[-0.003, 1.4622000000000002], [0.0011, 1.1911], [-1.0367, 0.0016], [0... | -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 | 3 | {"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;
rx(0.0051) q[0];
rz(1.4693) q[0];
rx(0.0003) q[1];
rz(1.7471) q[1];
rx(-1.0445) q[2];
rz(-0.0002) q[2];
rx(0.0052) q[3];
rz(1.6333) q[3];
rx(-0.5874) q[4];
rz(0.5896) q[4];
rx(1.0448) q[5];
rz(-0.0018) q[5];
rx(1.0486) q[6];
rz(0.0032) q[6];
rx(-0.003) q[0];
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": []} |
e72ecea678989eec924d7e1b79176beb | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [512, 511], "expectation_value": -0.2523417275204486, "params": [[-0.031100000000000003], [0.0245]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0010915540420537218, 0.001095157978500636], "optimization_time": 3.9936604499816895} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "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[1], q[0];
rz(0.0467) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0778) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0156) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0311) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
596dc591e846e98017ad5da8b3c9d903 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [113, 51], "expectation_value": -4.9998989913137954, "params": null, "bitstrings": ["0001110", "1001100"], "total_optimization_steps": 33, "probabilities": [1.635006125786446e-05, 0.999930372142706], "optimization_time": 33.42159056663513} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.5 * Z(3) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "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(-1.5708) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[6];
ry(1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[0];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[5];
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", ... |
9e8a866d2c0011b6946d4c64e758f31c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [246, 182], "expectation_value": -2.053300941043083, "params": [0.5957, 0.033100000000000004, 0.31120000000000003, -0.12510000000000002, 0.5989, -0.0631, 0.597, -0.0368, 0.0985, 0.24530000000000002, 0.6005, 0.0717, 0.5673, 0.1164, 0.0046, 0.4053, 0.5929, -0.038200000000000005, 0.3068, -0.1385, 0.5954, -0.085... | 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(0... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001001", "10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5957) q[0];
rz(0.0331) q[0];
rx(0.3112) q[1];
rz(-0.1251) q[1];
rx(0.5989) q[2];
rz(-0.0631) q[2];
rx(0.597) q[3];
rz(-0.0368) q[3];
rx(0.0985) q[4];
rz(0.2453) q[4];
rx(0.6005) q[5];
rz(0.0717) q[5];
rx(0.5673) q[6];
rz(0.1164) q[6];
rx(0.0046) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7e286c90f17ff7394c4075cb20f3e88f | 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": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -23.94248244906612, "params": [[0.025900000000000003, 0.0041, -0.0012000000000000001], [-0.0668, -0.06570000000000001, -0.0531]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007339786503520685, 0.009197306795629938], "optimiza... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.2331) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.2331) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.2331) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.2331) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
502ac3914841f8a39fec13c14696a599 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1848, 1850], "expectation_value": -1.6661108102444622, "params": [0.5992000000000001, 0.6007, 0.604, 0.6008, 0.5993, 0.5966, 0.12290000000000001, 0.1247, 0.0942, 0.0954, 0.5765, 0.5735, 0.5939, 0.5839, 0.5954, 0.5944, 0.17250000000000001, 0.17320000000000002, 0.4354, 0.4612, 0.28200000000000003, 0.2766, 0.5... | 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... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5992) q[0];
ry(0.604) q[1];
ry(0.5993) q[2];
ry(0.1229) q[3];
ry(0.0942) q[4];
ry(0.5765) q[5];
ry(0.5939) q[6];
ry(0.5954) q[7];
ry(0.1725) q[8];
ry(0.4354) q[9];
ry(0.282) q[10];
crx(0.4439) q[10], q[0];
crx(-0.1442) q[9], q[10];
crx(0.556) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6243731250414144704 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [0, 2, 4], [0, 1]]} | {"states": [21, 17], "expectation_value": -1.3855680686388903, "params": [2.7007000000000003, 0.003, 0.4698, 0.0027, 1.4841, 0.0081, 0.47490000000000004, 0.0039000000000000003, 2.7070000000000003, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.0014], "bitstrings": ["01010", "01110"], "tota... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(4) + 0.0 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(1) | 3 | 5 | 1 | {"smallest_eigenvalues": [-1.8333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(2.7007) q[0];
rz(0.003) q[0];
rx(0.4698) q[1];
rz(0.0027) q[1];
rx(1.4841) q[2];
rz(0.0081) q[2];
rx(0.4749) q[3];
rz(0.0039) q[3];
rx(2.707) q[4];
rz(0.0034) q[4];
crz(0.0014) q[4], q[3];
crz(0.0096) q[3], q[2];
crz(0.0037) q[2], q[1];
crz(0.0065) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.21375419247246785, "params": [[0.0809, 0.07830000000000001], [-0.0879, -0.0838]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.020790756461166487, 0.020790756461166498], "optimization_time": 3.4376630783081055} | 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)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0404) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0404) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0404) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0404) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
b06e27961007262f3a2ecbf8aba20c59 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [746, 1002], "expectation_value": -3.9005846220856366, "params": [[[-0.0031000000000000003, 0.007500000000000001, 0.0001, 0.0043], [1.3812, -0.0028, 0.8841, 0.0008], [1.6015000000000001, 0.0066, 0.0074, 0.0059], [0.3845, -0.0114, 1.5821, 0.006900000000000001], [1.6088, 0.0059, 0.0055000000000000005, 0.0094],... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0031) q[0];
rz(0.0075) q[0];
ry(1.3812) q[1];
rz(-0.0028) q[1];
ry(1.6015) q[2];
rz(0.0066) q[2];
ry(0.3845) q[3];
rz(-0.0114) q[3];
ry(1.6088) q[4];
rz(0.0059) q[4];
ry(0.3751) q[5];
rz(0.0136) q[5];
ry(0.0021) q[6];
rz(0.0061) q[6];
ry(1.0478) 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": []} |
6771b778b0f6a5f528500d957ca14d09 | 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": [697, 681], "expectation_value": -46.04671758826744, "params": [0.7039000000000001, 0.052700000000000004, 0.49500000000000005, 0.1663, 0.6958000000000001, 0.005200000000000001, -0.016900000000000002, 0.38580000000000003, 0.7041000000000001, 0.044000000000000004, 0.5273, 0.14020000000000002, 0.704000000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7039) q[0];
rz(0.0527) q[0];
rx(0.495) q[1];
rz(0.1663) q[1];
rx(0.6958) q[2];
rz(0.0052) q[2];
rx(-0.0169) q[3];
rz(0.3858) q[3];
rx(0.7041) q[4];
rz(0.044) q[4];
rx(0.5273) q[5];
rz(0.1402) q[5];
rx(0.704) q[6];
rz(-0.0472) q[6];
rx(0.4355) 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]}"} | {"circuits": [], "gradients": []} |
bd4d5e09460e489b3a7687d2fb06fc0c | 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": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [56, 24], "expectation_value": -2.583639541120861, "params": [[[0.30670000000000003, -0.10890000000000001, 0.0088, 0.0053], [0.307, -0.1405, 0.3003, -0.060000000000000005], [0.2918, 0.1531, 0.2973, 0.1764], [0.3013, -0.14170000000000002, -0.10700000000000001, -0.1337], [-0.07730000000000001, 0.0785, -0.07590... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) | 11 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["100111", "011011", "010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.3067) q[0];
rz(-0.1089) q[0];
ry(0.307) q[1];
rz(-0.1405) q[1];
ry(0.2918) q[2];
rz(0.1531) q[2];
ry(0.3013) q[3];
rz(-0.1417) q[3];
ry(-0.0773) q[4];
rz(0.0785) q[4];
ry(-0.0025) q[5];
rz(0.1203) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(0.30... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
e1e31cd8da97b1296222838354d79204 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -0.10165074762430334, "params": [[0.0224], [-0.030500000000000003]], "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004100076444032133, 0.004122373282001332], "optimization_time": 1.7655365467071533} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | 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(-0.0448) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0672) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0672) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0224) q[4];
cx q[2], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} |
8073241510245140419 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 4, 6], [0, 1, 4], [0, 1, 2, 5], [0, 1, 6], [2, 3, 5, 6], [0, 2, 6], [1, 2, 6]]} | {"states": [124, 122], "expectation_value": -0.8359324848642478, "params": [[0.2565], [-0.24700000000000003]], "bitstrings": ["0000011", "0000101"], "total_optimization_steps": 30, "probabilities": [0.014639447306244524, 0.015228773781707365], "optimization_time": 2.619746685028076} | 0.5 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.25 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.1666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010100", "0000101"]} | 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(0.2565) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.0427) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(0.1283) q[1];
cx q[4], q[1];
cx q[5], q[3];
rz(0.0427) q[3];
cx q[5], q[3];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
cd1b1834e6ae45ababe60f99d6c1d229 | 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": 0, "target": 3}, {"source": 2, "... | {"states": [4095, 4065], "expectation_value": -25.505714909169043, "params": [[[-0.0018000000000000002, 3.0991], [-0.0035, -0.0034000000000000002], [-0.0032, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0026000000000000003, -0.0029000000000000002], [0.0022, -0.0027], [-0.0023, -0.002],... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0018) q[0];
ry(-0.0035) q[1];
ry(-0.0032) q[2];
ry(-0.0031) q[3];
ry(-0.0026) q[4];
ry(0.0022) q[5];
ry(-0.0023) q[6];
ry(-0.3423) q[7];
ry(0.0024) q[8];
ry(0.0024) q[9];
ry(-0.0023) q[10];
ry(-0.0024) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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... | {"node": 8} | {"circuits": [], "gradients": []} |
8784489057814397582 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5, 7, 8, 9], [0, 2, 3, 5, 6, 7, 9, 10, 11], [1, 2, 3, 5, 7], [11, 4, 7], [0, 1, 2, 3, 6, 9, 10, 11], [8, 1, 3, 6], [1, 3, 5, 6, 9, 10, 11], [8, 1, 11], [0, 1, 2, 4, 5, 8, 10], [2, 3, 5, 8, 9], [0, 2, 4, 5, 6, 8], [1, 10, 7], [2, 3, 4, 6, 7], [2, 3, 4,... | {"states": [2939, 2427], "expectation_value": -3.0518336703673477, "params": [1.6248, -0.0009000000000000001, 1.5086000000000002, 0.0027, 0.0028, 1.7392, 0.0028, 0.0043, 0.8654000000000001, -0.7552, 1.1500000000000001, 0.0037, 1.6732, -0.46830000000000005, 1.214, 0.004200000000000001, -0.0026000000000000003, -0.5339, 0... | 0.125 * (Z(4) @ Z(5)) + 0.11388888888888889 * (Z(7) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.175 * (Z(8) @ Z(5)) + 0.125 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(7)) + 0.1376984126984127 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(4)) + 0.06388888888888888 * (Z(9) @ Z(7)) + 0.1 * (Z(9) @ Z(8)) + 0.07103174603174603 * (Z(0) @... | 7 | 12 | 1 | {"smallest_eigenvalues": [-3.089285714285714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.035714285714286, "smallest_bitstrings": ["011010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6248) q[0];
rz(-0.0009) q[0];
rx(0.0028) q[1];
rz(1.7392) q[1];
rx(0.8654) q[2];
rz(-0.7552) q[2];
rx(1.6732) q[3];
rz(-0.4683) q[3];
rx(-0.0026) q[4];
rz(-0.5339) q[4];
rx(2.01) q[5];
rz(-0.5733) q[5];
rx(1.5681) q[6];
rz(-0.0026) q[6];
rx(1.5695) 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": []} |
8157718007631687867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 6], [4, 7], [5, 6], [3, 5, 7], [0, 6], [1, 4], [8, 5, 7], [0, 8, 3], [8, 4], [1, 5, 7], [0, 1], [0, 4, 5], [0, 9, 2]]} | {"states": [748, 752], "expectation_value": -2.712475513055235, "params": [[[-0.0035, -1.133, 0.0032, 0.0043], [1.7939, -1.133, 0.0033, 0.0049], [1.5745, -0.0016, 1.5735000000000001, 0.006], [0.11810000000000001, 0.3574, -0.1228, 0.0089], [1.5698, -0.0029000000000000002, 1.5695000000000001, 0.0019], [1.5683, -0.0035, 1... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(0... | 11 | 10 | 1 | {"smallest_eigenvalues": [-4.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["0100001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0035) q[0];
rz(-1.133) q[0];
ry(1.7939) q[1];
rz(-1.133) q[1];
ry(1.5745) q[2];
rz(-0.0016) q[2];
ry(0.1181) q[3];
rz(0.3574) q[3];
ry(1.5698) q[4];
rz(-0.0029) q[4];
ry(1.5683) q[5];
rz(-0.0035) q[5];
ry(0.6613) q[6];
rz(-0.5729) q[6];
ry(0.8669) 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": []} |
1c9f0aa80e0354120d0d9a354ab113f1 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [90, 254], "expectation_value": -16.390664276525925, "params": null, "bitstrings": ["10100101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.14548920289066197, 0.39346641917280684], "optimization_time": 166.63075065612793} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"]} | 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[5], q[2];
cry(1.5357) q[2], q[3];
cry(0.1902) q[2], q[1];
cry(0.1003) q[3], q[1];
cry(-0.1204) q[3], q[5];
ry(-0.1817) q[5];
cry(0.1887) q[2], q[5];
cry(0.4723) q[1], q[5];
cry(-0.12... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.5112158420820416, "params": [[-0.055, -0.06670000000000001, -0.064, -0.0776], [0.0565, 0.0717, 0.0697, 0.0753]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.014012458679448742, 0.017265463131471526], "optimization_time": 6.05585... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | 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(-0.0275) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0275) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0275) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0275) q[0];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 23.634926080703735} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[3], q[1];
cry(-0.1259) q[4], q[2];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-5064463662352024584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [27, 114], "expectation_value": -0.0410215731732353, "params": [[-0.07590000000000001], [0.06860000000000001]], "bitstrings": ["1100100", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008470497948242738, 0.008470497948242738], "optimization_time": 1.5443248748779297} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(-0.0759) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(-0.0253) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(-0.0253) q[3];
cx q[5], q[3];
cx q[1], q[3];
rz(-0.0253) q[3];
cx q[1], q[3];
cx q[1], q[6... | 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[3];
rz(x1) q[3];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
da1feb8c2bbead6f03a304fa040072c3 | 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": [1170, 1426], "expectation_value": -75.27444832402584, "params": [[[0.5868, 0.0017000000000000001, 0.001, 0.0081], [-0.0032, 0.0172, 0.0102, 0.0079], [0.5982000000000001, 0.0074, 0.0047, 0.001], [0.0405, -0.07490000000000001, 0.4428, 0.0006000000000000001], [0.36150000000000004, -0.0256, 0.0049, -0.0327], [0... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(9)) + 20.0 * Z(2) + 5.5 * Z(0) + 3.0 * Z(1) + 8.0 * Z(4) + 7.5 * Z(3) + 13.0 * Z(6) ... | 12 | 11 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["01001101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5868) q[0];
rz(0.0017) q[0];
ry(-0.0032) q[1];
rz(0.0172) q[1];
ry(0.5982) q[2];
rz(0.0074) q[2];
ry(0.0405) q[3];
rz(-0.0749) q[3];
ry(0.3615) q[4];
rz(-0.0256) q[4];
ry(0.0012) q[5];
rz(0.4467) q[5];
ry(0.6024) q[6];
rz(0.0029) q[6];
ry(0.0041) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
3149612231183658205 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[1, 4, 6, 7, 8, 10, 12, 13], [4, 5, 7, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8, 10, 12], [0, 2, 4, 5, 7, 12, 13], [1, 2, 4, 8, 9, 11, 12, 13], [0, 2, 3, 4, 6, 7, 8], [8, 3, 13], [0, 1, 2, 3, 4, 10, 11, 13], [1, 2, 3, 4, 5, 8, 9], [1, 5, 6, 7, 9], [1, 3, ... | {"states": [6027, 8075], "expectation_value": -2.1512945232056246, "params": [0.7073, 0.7133, 1.3414000000000001, 1.3434000000000001, 0.8165, 0.8116, 1.4023, 1.4046, 1.3572, 1.3571, 1.3766, 1.3696000000000002, 1.4120000000000001, 1.4156, 0.7113, 0.7023, 0.6726000000000001, 0.6758000000000001, 0.6752, 0.6682, 1.37160000... | 0.1123015873015873 * (Z(1) @ Z(4)) + 0.05277777777777778 * (Z(6) @ Z(4)) + 0.09007936507936508 * (Z(6) @ Z(1)) + 0.1503968253968254 * (Z(7) @ Z(4)) + 0.11388888888888889 * (Z(7) @ Z(1)) + 0.11388888888888889 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.07063492063492063 * (Z(8) @ Z(1)) + 0.0527777777777777... | 13 | 14 | 1 | {"smallest_eigenvalues": [-2.8821428571427696], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8599206349205, "smallest_bitstrings": ["10000001110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.7073) q[0];
ry(1.3414) q[1];
ry(0.8165) q[2];
ry(1.4023) q[3];
ry(1.3572) q[4];
ry(1.3766) q[5];
ry(1.412) q[6];
ry(0.7113) q[7];
ry(0.6726) q[8];
ry(0.6752) q[9];
ry(1.3716) q[10];
ry(0.6747) q[11];
ry(1.3511) q[12];
ry(1.3761) q[13];
crz(-0.0465) q[13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.5670115075839237, "params": [[0.08170000000000001, 0.08020000000000001], [-0.08900000000000001, -0.0872]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.014146373368682122, 0.015369098330404576], "optimization_time": 2.872940778732... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0409) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0409) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0817) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.1226) q[1];
cx q[4], q[1];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 6} | {"circuits": [], "gradients": []} |
a51181bafa7bcb3e3b3a50a4cac69c67 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [511, 507], "expectation_value": -16.024182618193283, "params": [[[-0.6769000000000001, 2.503], [-0.0035, 0.6187], [-0.0031000000000000003, -0.0023], [-0.0028, -0.0031000000000000003], [-0.0028, -0.0029000000000000002], [-0.0024000000000000002, -0.0031000000000000003], [1.6165, 0.5518000000000001], [0.004, 0... | -2.0 * (Z(0) @ Z(4)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + 0.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.6769) q[0];
ry(-0.0035) q[1];
ry(-0.0031) q[2];
ry(-0.0028) q[3];
ry(-0.0028) q[4];
ry(-0.0024) q[5];
ry(1.6165) q[6];
ry(0.004) q[7];
ry(-0.0014) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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... | {"node": 6} | {"circuits": [], "gradients": []} |
4973527a678849b98f57c7e36651dc7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [41, 97], "expectation_value": -4.496398064640455, "params": null, "bitstrings": ["1010110", "0011110"], "total_optimization_steps": 25, "probabilities": [0.06635227036942623, 0.9303267404400778], "optimization_time": 24.46321439743042} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "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];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[6];
ry(1.4417) q[1];
cry(-1.0343) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[6], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[6], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
-4278732443802325559 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 4, 5], [2, 7], [0, 1, 4, 5], [0, 4, 5, 6], [3, 4, 5, 6], [1, 2, 3], [1, 3, 6], [6, 7], [1, 4, 5, 6], [3, 5, 7], [0, 1, 3, 4], [2, 6]]} | {"states": [246, 182], "expectation_value": -2.792076091504814, "params": [2.0329, 0.3934, 1.0859, 0.0028, 1.9395, 0.9924000000000001, 0.6226, 0.0067, 1.7513, 0.28400000000000003, 1.3539, 0.0031000000000000003, 2.7778, 0.3668, 0.34940000000000004, 0.006500000000000001, 0.005200000000000001, -1.1764000000000001, 0.0002,... | 0.5833333333333334 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.25 * (Z(5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.0329) q[0];
rz(0.3934) q[0];
rx(1.9395) q[1];
rz(0.9924) q[1];
rx(1.7513) q[2];
rz(0.284) q[2];
rx(2.7778) q[3];
rz(0.3668) q[3];
rx(0.0052) q[4];
rz(-1.1764) q[4];
rx(2.6336) q[5];
rz(0.3416) q[5];
rx(2.5238) q[6];
rz(0.2784) q[6];
rx(-0.0027) 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": []} |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.104790364508025, "params": [0.0054, 0.3647, 0.0013000000000000002, 0.4409, 0.0044, 0.1164, 0.0022, 0.45890000000000003, 0.0009000000000000001, 0.3195, 0.0044, 0.40640000000000004, 0.0012000000000000001, 0.4319, 0.6076, 0.0073, 0.0001, 0.27030000000000004, 0.005500000000000000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0054) q[0];
rz(0.3647) q[0];
rx(0.0013) q[1];
rz(0.4409) q[1];
rx(0.0044) q[2];
rz(0.1164) q[2];
rx(0.0022) q[3];
rz(0.4589) q[3];
rx(0.0009) q[4];
rz(0.3195) q[4];
rx(0.0044) q[5];
rz(0.4064) q[5];
rx(0.0012) q[6];
rz(0.4319) q[6];
rx(0.6076) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -6.361103686080937, "params": [[0.057], [-0.0594]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011211173612065941, 0.011500581264374539], "optimization_time": 3.688267469406128} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.3135) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3135) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3135) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3135) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 5} | {"circuits": [], "gradients": []} |
ffaba4815bf0e67a2be83da1ce70c0be | 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": 19, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {... | {"states": [238, 110], "expectation_value": -25.043378396038246, "params": [[0.0307, 0.0092, 0.0, 0.0079], [-0.06910000000000001, -0.0448, -0.028900000000000002, -0.0143]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013527018669791835, 0.016431604687175385], "optimizatio... | 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(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2456) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2456) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2456) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.2456) 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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322619, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 79.94400596618652} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 16 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
cry(-1.5655) q[3], q[2];
ry(1.08) q[3];
ry(0.6956) q[4];
ry(-0.5067) q[2];
ry(-0.3797) q[1];
cry(0.3507) q[3], q[5];
ry(-0.2547) q[0];
cry(0.4031... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
6937cf9b84e6fcf0b74e4e8a04c76bf2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [6543, 6655], "expectation_value": -13.662011213717436, "params": [2.7316000000000003, 0.40540000000000004, -0.1242, 0.1303, 0.0025, 0.0024000000000000002, 0.0026000000000000003, 0.0026000000000000003, -2.8068, -0.33990000000000004, 0.0038, 0.0015, 1.0416, 0.6062000000000001, -0.3763, -0.7507, -0.0881, 0.094... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(10) + 0... | 14 | 13 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(2.7316) q[0];
ry(-0.1242) q[1];
ry(0.0025) q[2];
ry(0.0026) q[3];
ry(-2.8068) q[4];
ry(0.0038) q[5];
ry(1.0416) q[6];
ry(-0.3763) q[7];
ry(-0.0881) q[8];
ry(2.2034) q[9];
ry(0.0019) q[10];
ry(1.4444) q[11];
ry(1.5681) q[12];
crx(0.0018) q[12], q[0];
crx(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[... | {"node": 3} | {"circuits": [], "gradients": []} |
-8504159703099461588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5, 7, 9], [0, 1, 2, 8], [8, 0, 7], [0, 1, 3, 4, 6, 8, 9], [0, 2, 3, 4, 8], [9, 5, 6, 7], [0, 1, 3, 4, 7], [0, 1, 2, 4, 5, 7, 9], [0, 2, 4, 6, 7, 9], [8, 2, 5], [2, 3, 4, 6, 7], [0, 2, 3, 6, 8], [8, 5, 6], [8, 9, 5]]} | {"states": [431, 463], "expectation_value": -3.3406712943291836, "params": [[[-0.0028, -1.4038000000000002, 0.0026000000000000003, 0.0001], [-0.0029000000000000002, -1.4038000000000002, -0.0025, 0.0083], [1.5689000000000002, -0.002, 1.5684, 0.0045000000000000005], [1.9412, -0.0019, 1.2049, 0.0035], [1.5807, -0.00260000... | 0.20476190476190473 * (Z(0) @ Z(1)) + 0.13095238095238093 * (Z(2) @ Z(1)) + 0.2642857142857143 * (Z(2) @ Z(0)) + 0.09761904761904762 * (Z(3) @ Z(1)) + 0.19761904761904764 * (Z(3) @ Z(0)) + 0.1738095238095238 * (Z(3) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.21428571428571... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.3571428571428577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3238095238095235, "smallest_bitstrings": ["1000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0028) q[0];
rz(-1.4038) q[0];
ry(-0.0029) q[1];
rz(-1.4038) q[1];
ry(1.5689) q[2];
rz(-0.002) q[2];
ry(1.9412) q[3];
rz(-0.0019) q[3];
ry(1.5807) q[4];
rz(-0.0026) q[4];
ry(1.8459) q[5];
rz(-0.0024) q[5];
ry(1.5689) q[6];
rz(0.0027) q[6];
ry(0.0026) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4555823087914865756 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 6, 7], [0, 1, 2, 3, 4], [0, 1, 2, 3, 5, 6], [3, 4, 5]]} | {"states": [250, 218], "expectation_value": -0.36584486377456377, "params": [0.895, 0.0047, 0.8922, 0.0002, 0.8987, 0.005200000000000001, 0.8955000000000001, 0.0022, 0.8951, -0.0007, 0.8912, 0.0012000000000000001, 0.9031, -0.0006000000000000001, 0.9067000000000001, 0.0041, 0.8952, -0.0055000000000000005, 0.8978, 0.0099... | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.9333333333333336, -0.9333333333333336, -0.9333333333333336], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9333333333333333, "smallest_bitstrings": ["01000101", "00100101", "00101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.895) q[0];
rz(0.0047) q[0];
rx(0.8987) q[1];
rz(0.0052) q[1];
rx(0.8951) q[2];
rz(-0.0007) q[2];
rx(0.9031) q[3];
rz(-0.0006) q[3];
rx(0.8952) q[4];
rz(-0.0055) q[4];
rx(0.8899) q[5];
rz(0.0022) q[5];
rx(0.9033) q[6];
rz(0.0039) q[6];
rx(0.8989) 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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -0.18235591454331151, "params": [[-0.031100000000000003, -0.07880000000000001], [0.0206, 0.0668]], "bitstrings": ["101001", "101100"], "total_optimization_steps": 10, "probabilities": [0.018124625809486004, 0.018124625809486018], "optimization_time": 2.272057294845581} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0311) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0311) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0311) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.0311) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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... | null | {"circuits": [], "gradients": []} |
-8383149207643838478 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [164, 196], "expectation_value": -3.090043405793479, "params": null, "bitstrings": ["01011011", "00111011"], "total_optimization_steps": 57, "probabilities": [0.0545294031722875, 0.7846992202320447], "optimization_time": 68.32576417922974} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100", "00111011"]} | 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[4];
cry(-1.0342) q[1], q[2];
ry(1.0293) q[1];
ry(-0.6992) q[2];
cry(-0.6534) q[0], q[4];
ry(0.9979) q[5];
cry(-1.3795) q[5], q[7];
cry(-1.3795) q[5], q[6];
cry(1.1473) q[5], 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[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] = me... |
c451d9585216e3f1c5bc89acfa5b77d8 | 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": [455, 327], "expectation_value": -59.727217327425336, "params": [0.4927, 0.4902, 0.2777, 0.2629, 0.49060000000000004, 0.4965, 0.0922, 0.08650000000000001, 0.0579, 0.0553, 0.1359, 0.1343, 0.4904, 0.49520000000000003, 0.28450000000000003, 0.3664, 0.4787, 0.47690000000000005, 0.4949, 0.49210000000000004, 0.2439... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4927) q[0];
ry(0.2777) q[1];
ry(0.4906) q[2];
ry(0.0922) q[3];
ry(0.0579) q[4];
ry(0.1359) q[5];
ry(0.4904) q[6];
ry(0.2845) q[7];
ry(0.4787) q[8];
crx(0.3273) q[8], q[0];
crx(-0.1577) q[7], q[8];
crx(0.0153) q[6], q[7];
crx(0.3249) q[5], q[6];
crx(0.0644... | 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
ae6952b9988373e57f20a6b97ac5f790 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [38314, 21930], "expectation_value": -1.7545671151654298, "params": [[1.5579, 1.6556000000000002, 0.3027, 1.5732000000000002, 0.11280000000000001, 1.7100000000000002, 0.11670000000000001, 0.1111, 1.4197, 0.0964, 1.5979, 0.1114, 1.5027000000000001, 0.09380000000000001, 1.5739, 0.1028], [1.4493, 0.1253, 0.1225... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011574074074074073 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0011574074074074073 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0219135802468537], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021913580246819, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5579) q[0];
ry(1.6556) q[1];
ry(0.3027) q[2];
ry(1.5732) q[3];
ry(0.1128) q[4];
ry(1.71) q[5];
ry(0.1167) q[6];
ry(0.1111) q[7];
ry(1.4197) q[8];
ry(0.0964) q[9];
ry(1.5979) q[10];
ry(0.1114) q[11];
ry(1.5027) q[12];
ry(0.0938) q[13];
ry(1.5739) q[14];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276598, 0.5537970536213181], "optimization_time": 507.8781864643097} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 1 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
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];
ry(0.4397) q[7];
ry(1.0965) q[6];
ry(1.2796) q[3];
cry(1.1291) q[3], q[7];
cry(1.5708) q[4], q[11];
ry(0.9929) q[4];
cry(0.4739) q[7], q[6];
cry(0.4718... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
e680a6ba7beda9e3b8f10da863d4f131 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [0, 3], "expectation_value": -21.982820780199308, "params": [0.0033, 1.0821, 0.0034000000000000002, 0.0095, -0.0023, 2.0494, 0.0022, 0.008700000000000001, 0.0018000000000000002, 2.0236, -0.0018000000000000002, 0.0001, 0.0026000000000000003, 2.0689, -0.0025, 0.0048000000000000004, -0.002, 2.0601000000000003, ... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(1)) + 1.0 *... | 6 | 8 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(1.0821) q[0];
rx(-0.0023) q[1];
rz(2.0494) q[1];
rx(0.0018) q[2];
rz(2.0236) q[2];
rx(0.0026) q[3];
rz(2.0689) q[3];
rx(-0.002) q[4];
rz(2.0601) q[4];
rx(0.0023) q[5];
rz(2.0427) q[5];
rx(1.2505) q[6];
rz(-0.1673) q[6];
rx(0.9857) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
1760446773707067623 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5, 6, 7], [8, 10, 2, 11], [1, 2, 3, 4, 5, 8, 9, 11], [9, 5, 7], [8, 10, 11, 7], [0, 9]]} | {"states": [4092, 4084], "expectation_value": -1.6433364571182572, "params": [1.5917000000000001, 0.0021000000000000003, 1.6167, -0.002, 2.0543, -0.002, 2.3376, 0.002, 2.4358, -0.0024000000000000002, 2.8064, -0.003, 2.8641, 0.0036000000000000003, 2.9001, -0.0037, 1.4875, 1.2837, 2.8942, 0.9888, -0.020200000000000003, 1... | 0.10119047619047619 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.017857142857142856 * (Z(10) @ Z(7)) + 0.18452380952380953 * (Z(10) @ Z(3)) + 0.08333333333333333 * (Z(10)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-1.7619047619047623, -1.7619047619047623, -1.7619047619047623, -1.7619047619047623, -1.7619047619047623], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.7619047619047619, "smallest_bitstrings": ["100011000100", "110010000100", "100010100100", "000100000001", "000000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5917) q[0];
rz(0.0021) q[0];
rx(1.6167) q[1];
rz(-0.002) q[1];
rx(2.0543) q[2];
rz(-0.002) q[2];
rx(2.3376) q[3];
rz(0.002) q[3];
rx(2.4358) q[4];
rz(-0.0024) q[4];
rx(2.8064) q[5];
rz(-0.003) q[5];
rx(2.8641) q[6];
rz(0.0036) q[6];
rx(2.9001) 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": []} |
-7862726161300968349 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 10, 3], [10, 4], [0, 5, 7], [0, 2, 11], [9, 10, 2], [8, 2], [2, 4], [1, 3, 7], [0, 9, 11], [1, 4], [0, 4, 5], [11, 6, 7], [5, 6], [9, 5], [0, 3], [8, 9, 11], [9, 3, 6], [0, 10, 6]]} | {"states": [3639, 3638], "expectation_value": -4.894025841194221, "params": [[[3.0865, 0.003], [3.0883000000000003, 0.0057], [3.0969, 0.0047], [0.7549, 0.0005], [0.2655, 0.0086], [0.4983, 0.001], [3.0868, 0.0079], [3.0832, 0.0045000000000000005], [0.4812, 0.0092], [3.0943, 0.0051], [3.0952, 0.0007], [1.4919, 0.00390000... | 0.16666666666666666 * (Z(11) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.5 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["000111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.0865) q[0];
rz(0.003) q[0];
rx(3.0883) q[1];
rz(0.0057) q[1];
rx(3.0969) q[2];
rz(0.0047) q[2];
rx(0.7549) q[3];
rz(0.0005) q[3];
rx(0.2655) q[4];
rz(0.0086) q[4];
rx(0.4983) q[5];
rz(0.001) q[5];
rx(3.0868) q[6];
rz(0.0079) q[6];
rx(3.0832) 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": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.5264616082466853, "params": [[-0.0256, -0.028800000000000003, -0.0339, -0.0613], [0.023100000000000002, 0.024300000000000002, 0.0304, 0.0538]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.13811768322872067, 0.1768238229344996], "optimizati... | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.064) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0768) q[2];
cx q[0], q[2];
rz(0.064) q[1];
rz(0.0128) q[0];
rz(-0.0768) q[2];
h q[0];
rz(0.0462) q[0];
h q[0];
h q[1];
rz(0.0462) q[1];
h q[1];
h q[2];
rz(0.0462) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
6500067681146682005 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 4], [2, 5], [1, 6], [0, 4, 5, 7], [0, 1, 5, 7], [0, 3], [1, 3, 5, 7], [3, 4], [1, 2]]} | {"states": [212, 204], "expectation_value": -0.4597471108407025, "params": [[-0.1695], [0.1758]], "bitstrings": ["00101011", "00110011"], "total_optimization_steps": 20, "probabilities": [0.006816598333524695, 0.006903529920113827], "optimization_time": 2.328233480453491} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00110011"]} | 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(-0.1695) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1695) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0283) q[1];
cx q[0], q[1];
cx q[0], q[4];
rz(-0.0283) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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(x0) q[0];
cx q[2],... | null | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [97, 14], "expectation_value": -1.176993104796772, "params": [[-0.0741, -0.0703, -0.078, -0.0526], [0.079, 0.0738, 0.07970000000000001, 0.0692]], "bitstrings": ["0011110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.02040695842752005, 0.020406958427520053], "optimization_time": 7.26033329... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0741) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0741) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0741) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0741) q[4];
cx q[0], q[4];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -5.933835258651147, "params": [[0.0538, 0.0386, 0.0177, 0.0105], [-0.0505, -0.0422, -0.0341, -0.0252]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017543596842243894, 0.01934685145293183], "optimization_time": 7.458693504333496} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2421) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2421) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2421) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2421) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
190b9e209adb3e0aadea8d3d462a7035 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [192, 504], "expectation_value": -13.074759749354827, "params": null, "bitstrings": ["100111111", "000000111"], "total_optimization_steps": 100, "probabilities": [0.052458383315533215, 0.6014289438367734], "optimization_time": 239.8456859588623} | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[0];
cry(0.72) q[0], q[3];
cry(0.0651) q[4], q[3];
ry(-0.5648) q[3];
cry(1.0297) q[1], q[3];
cry(1.5708) q[4], q[2];
cry(1.3724) q[2], q[1];
cry(... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\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];\nc... |
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": [682, 686], "expectation_value": -2.7074196009233704, "params": [[1.0571000000000002, -0.0023, 1.0106, 0.2058, 1.1028, -0.019100000000000002, 1.1521000000000001, 0.5598000000000001, 1.1118000000000001, -0.049], [1.0265, -0.003, 1.0924, -0.07490000000000001, 0.9281, 0.003, 0.7002, -0.14070000000000002, 0.7396... | 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) ... | 10 | 10 | 2 | {"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": ["0100101100", "0100110100", "1000100110", "0110010001", "0100110010", "1100100100", "0101110000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.0571) q[0];
ry(-0.0023) q[1];
ry(1.0106) q[2];
ry(0.2058) q[3];
ry(1.1028) q[4];
ry(-0.0191) q[5];
ry(1.1521) q[6];
ry(0.5598) q[7];
ry(1.1118) q[8];
ry(-0.049) q[9];
cz q[9], 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -3.499937482943581, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 22, "probabilities": [1.6356545604728112e-05, 0.9999687420766158], "optimization_time": 11.628295183181763} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[2];
cry(0.1186) q[2], q[1];
cry(-0.0005) q[1], q[4];
cry(0.0074)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
d33bc1e38a91534ccb33169ef0b03611 | 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": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [228, 236], "expectation_value": -2.1630665478132842, "params": [[[0.1102, -0.0614, 0.0017000000000000001, 0.007], [0.2523, 0.2753, 0.6794, 0.0285], [0.5907, -0.1302, -0.5375, 0.5841000000000001], [0.0149, -0.23290000000000002, 0.5104000000000001, -0.5686], [0.8013, 0.41040000000000004, 0.3705, 0.76840000000... | 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)) + 0.125 * (Z... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["100010011", "101000110", "100010110", "100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1102) q[0];
rz(-0.0614) q[0];
ry(0.2523) q[1];
rz(0.2753) q[1];
ry(0.5907) q[2];
rz(-0.1302) q[2];
ry(0.0149) q[3];
rz(-0.2329) q[3];
ry(0.8013) q[4];
rz(0.4104) q[4];
ry(0.7922) q[5];
rz(-0.1111) q[5];
ry(0.6977) q[6];
rz(0.1252) q[6];
ry(-0.0452) 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": []} |
2c15deea3644dfbcf53b5ef31047e7a3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [159, 155], "expectation_value": -3.370464029683352, "params": [[[0.4988, -0.0021000000000000003], [-0.0058000000000000005, -0.2634], [0.046, 0.23450000000000001], [0.45930000000000004, -0.0044], [0.5076, -0.0022], [0.3381, 0.0258], [0.5009, -0.0018000000000000002], [0.506, 0.0005]], [[0.5053, -0.00210000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110000", "01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4988) q[0];
rz(-0.0021) q[0];
rx(-0.0058) q[1];
rz(-0.2634) q[1];
rx(0.046) q[2];
rz(0.2345) q[2];
rx(0.4593) q[3];
rz(-0.0044) q[3];
rx(0.5076) q[4];
rz(-0.0022) q[4];
rx(0.3381) q[5];
rz(0.0258) q[5];
rx(0.5009) q[6];
rz(-0.0018) q[6];
rx(0.506) 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": []} |
605742faa50c2e92c07356e058fd303f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 14.29835057258606} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"]} | 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[4];
ry(-1.5681) q[2];
cry(-1.0343) q[3], q[5];
cry(-1.0343) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[3];
ry(-0.4549) q[0];
ry(-0.4549) q[5];
cry(0.4578) q[3], q[1];
cry(0.4515) q[1], q[3];
cry(-0.3... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -6.239335310072682, "params": [[0.0222, 0.026600000000000002, 0.033, 0.033800000000000004], [-0.0222, -0.038, -0.050800000000000005, -0.058300000000000005]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01754292302323447, 0.0189882026... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0999) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0999) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0999) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0999) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
3456096028217915893 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6], [0, 1, 2, 4, 5], [2, 5, 6], [2, 6, 7], [1, 3, 5], [0, 3, 6, 7], [1, 2, 4, 5, 7], [1, 3, 4, 7], [0, 3, 5], [0, 1, 4, 5, 7], [0, 2, 4, 5, 7]]} | {"states": [31, 61], "expectation_value": -1.3056348447191044, "params": [[-0.26780000000000004], [0.2778]], "bitstrings": ["11100000", "11000010"], "total_optimization_steps": 30, "probabilities": [0.0094398262150452, 0.009612600842980226], "optimization_time": 3.9147777557373047} | 0.15000000000000002 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.3 * (Z(3) @ Z(1)) + 0.2 * (Z(4) @ Z(2)) + 0.2833333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(0) @ Z(2))... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6333333333333337, "smallest_bitstrings": ["11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0803) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0268) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.1607) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.1071) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [117, 110], "expectation_value": -10.684896016974669, "params": [[-0.0385], [0.0585]], "bitstrings": ["110001010", "110010001"], "total_optimization_steps": 10, "probabilities": [0.0036434443706806147, 0.004119170423361629], "optimization_time": 2.22942852973938} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.3465) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.3465) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3465) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.3465) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
ab01514d72b7516b73973ff582495374 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [126, 127], "expectation_value": -15.96572333418962, "params": [[[0.504, -0.0034000000000000002], [0.0016, -0.005200000000000001], [-1.4217, 0.9277000000000001], [-0.0026000000000000003, 2.2088], [0.0019, -0.002], [-0.0019, -0.0019], [-0.002, 0.002], [-0.0026000000000000003, -0.0023], [1.5934000000000001, 1.... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + -1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + -1.0 * Z(0) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.504) q[0];
ry(0.0016) q[1];
ry(-1.4217) q[2];
ry(-0.0026) q[3];
ry(0.0019) q[4];
ry(-0.0019) q[5];
ry(-0.002) q[6];
ry(-0.0026) q[7];
ry(1.5934) q[8];
ry(-0.0004) 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], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 1} | {"circuits": [], "gradients": []} |
2b26a12696164cfcc8f866aee0d442c7 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"sour... | {"states": [248, 255], "expectation_value": -1.8043757735847645, "params": [[0.06910000000000001], [-0.0714]], "bitstrings": ["00000111", "00000000"], "total_optimization_steps": 10, "probabilities": [0.0072841696674674754, 0.007418807841375633], "optimization_time": 3.370182514190674} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000000"]} | 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(-0.3455) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.3455) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2764) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.3455) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[... | {"node": 5} | {"circuits": [], "gradients": []} |
5316005761394568774 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 7], [3, 4, 6], [0, 1, 5, 7], [0, 8, 3, 4], [3, 7], [8, 3, 4, 5], [0, 2]]} | {"states": [444, 440], "expectation_value": -2.070309192125366, "params": [3.1438, 0.0068000000000000005, 3.1445000000000003, 0.003, 0.0028, 0.0015, 2.8024, 0.0007, 3.1431, 0.0024000000000000002, 3.1443000000000003, 0.0099, 1.5446, 0.0051, 0.008700000000000001, 0.0097, 0.7662, 0.0041, 0.0011, 0.0019, 0.0001, 0.0, 0.007... | 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7... | 16 | 9 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(3.1438) q[0];
rz(0.0068) q[0];
rx(3.1445) q[1];
rz(0.003) q[1];
rx(0.0028) q[2];
rz(0.0015) q[2];
rx(2.8024) q[3];
rz(0.0007) q[3];
rx(3.1431) q[4];
rz(0.0024) q[4];
rx(3.1443) q[5];
rz(0.0099) q[5];
rx(1.5446) q[6];
rz(0.0051) q[6];
rx(0.0087) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5018340214889155232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 5], [0, 1, 2, 7, 10], [3, 4, 6], [10, 11, 4, 7], [3, 7], [5, 7, 8, 10, 11], [0, 1, 6, 9, 11], [0, 4], [3, 11], [0, 9, 10], [9, 2, 6], [9, 10, 1], [9, 11, 1, 7], [8, 0], [0, 1, 2, 3, 9], [8, 1], [4, 7, 8, 9, 10], [1, 4]]} | {"states": [3635, 3699], "expectation_value": -5.096893369498891, "params": [2.1974, 0.0023, 2.9953000000000003, -0.0019, 3.1398, -0.0054, 0.1726, 0.41540000000000005, -0.0013000000000000002, -0.7308, 1.0385, -1.9828000000000001, 2.999, 0.002, 3.1398, 0.0001, -0.0023, -1.1665, 0.7087, -0.1874, 3.0273000000000003, -0.00... | 0.5 * (Z(9) @ Z(5)) + 0.26666666666666666 * (Z(0) @ Z(9)) + 0.35 * (Z(1) @ Z(9)) + 0.15000000000000002 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(2) @ Z(9)) + 0.1 * (Z(2) @ Z(0)) + 0.1 * (Z(2) @ Z(1)) + 0.05 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(9)) + 0.05 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(1... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.600000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.350000000000001, "smallest_bitstrings": ["000110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.1974) q[0];
rz(0.0023) q[0];
rx(2.9953) q[1];
rz(-0.0019) q[1];
rx(3.1398) q[2];
rz(-0.0054) q[2];
rx(0.1726) q[3];
rz(0.4154) q[3];
rx(-0.0013) q[4];
rz(-0.7308) q[4];
rx(1.0385) q[5];
rz(-1.9828) q[5];
rx(2.999) q[6];
rz(0.002) q[6];
rx(3.1398) 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": []} |
f23d2a7db93c6e79e89f3b179ac09e4a | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -1.8549259336137307, "params": [[-0.0614], [0.07100000000000001]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0017994066723478895, 0.00182168596180636], "optimization_time": 4.255221843719482} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + 1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "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];
cx q[2], q[0];
rz(0.2456) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1842) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0614) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.1228) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[0];
cx q[2], q... | {"node": 3} | {"circuits": [], "gradients": []} |
5209090614501508436 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 7], [8, 4, 5], [1, 4, 6, 7], [1, 3, 6, 7], [0, 2, 3, 6, 7, 8]]} | {"states": [501, 245], "expectation_value": -1.5179342463768748, "params": [1.2815, 0.41100000000000003, 0.6883, 0.0068000000000000005, 1.7756, 0.08420000000000001, 1.288, 0.0033, 1.7203000000000002, 0.0599, 1.2392, 0.0083, 1.7709000000000001, 0.07680000000000001, 1.2549000000000001, 0.009600000000000001, 1.7677, 0.168... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.13095238095238096 * (Z(2) @ Z(0)) + 0.13095238095238093 * (Z(3) @ Z(1)) + 0.13095238095238096 * (Z(3) @ Z(0)) + 0.13095238095238096 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.073809523809... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.614285714285714, -1.614285714285714], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5666666666666664, "smallest_bitstrings": ["001001010", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2815) q[0];
rz(0.411) q[0];
rx(1.7756) q[1];
rz(0.0842) q[1];
rx(1.7203) q[2];
rz(0.0599) q[2];
rx(1.7709) q[3];
rz(0.0768) q[3];
rx(1.7677) q[4];
rz(0.168) q[4];
rx(0.6738) q[5];
rz(-0.7494) q[5];
rx(1.7745) q[6];
rz(-0.0901) q[6];
rx(0.7258) 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": []} |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [511, 507], "expectation_value": -0.5055188147203762, "params": [[-0.079], [0.0719]], "bitstrings": ["000000000", "000000100"], "total_optimization_steps": 10, "probabilities": [0.0026942654546876573, 0.00275595400845248], "optimization_time": 2.220109224319458} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"]} | 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(0.237) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.237) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.079) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.237) q[3];
cx q[4], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx... | {"node": 7} | {"circuits": [], "gradients": []} |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 21], "expectation_value": -4.083121448872925, "params": [[-0.1724, -0.1642], [0.1752, 0.1714]], "bitstrings": ["111110", "101010"], "total_optimization_steps": 20, "probabilities": [0.07438394549872261, 0.078323836056953], "optimization_time": 2.5437545776367188} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | 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(0.2586) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.3448) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0862) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.2586) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1724... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
74f1544741d8dc33405b84be7c29f907 | 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": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -30.52390438491677, "params": [[[-1.6204, 0.0013000000000000002], [0.0024000000000000002, 0.0029000000000000002], [0.0024000000000000002, 0.0059], [0.0025, 0.0083], [0.0025, 0.0068000000000000005], [0.0025, 0.0073], [-0.0027, 0.0025], [3.1603000000000003, 0.0059]]], "bitstrin... | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 2 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-1.6204) q[0];
rz(0.0013) q[0];
rx(0.0024) q[1];
rz(0.0029) q[1];
rx(0.0024) q[2];
rz(0.0059) q[2];
rx(0.0025) q[3];
rz(0.0083) q[3];
rx(0.0025) q[4];
rz(0.0068) q[4];
rx(0.0025) q[5];
rz(0.0073) q[5];
rx(-0.0027) q[6];
rz(0.0025) q[6];
rx(3.1603) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} |
bfd6307c43684d9b9fd7bdff644551ce | 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": [605, 589], "expectation_value": -49.40280920781536, "params": [0.7275, 0.1345, 1.0055, 0.0227, 0.006500000000000001, 0.7283000000000001, -0.018600000000000002, -0.4455, 0.9961000000000001, -0.0125, 0.1956, 0.5327000000000001, 0.7892, 0.36010000000000003, 1.0008000000000001, 0.38720000000000004, 1.0013, 0.13... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(3) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(2) + 0.0 * Z(1) + 17.0 * Z(4) + 1.5 * Z(0) + -3.0 * Z(5) + 23.5 * Z(8) + 3.0 * Z(6) + 5.5... | 16 | 11 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.5, "smallest_bitstrings": ["10110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7275) q[0];
rz(0.1345) q[0];
rx(1.0055) q[1];
rz(0.0227) q[1];
rx(0.0065) q[2];
rz(0.7283) q[2];
rx(-0.0186) q[3];
rz(-0.4455) q[3];
rx(0.9961) q[4];
rz(-0.0125) q[4];
rx(0.1956) q[5];
rz(0.5327) q[5];
rx(0.7892) q[6];
rz(0.3601) q[6];
rx(1.0008) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
a38227ca05bb5e1c3110df61e15475e5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [146, 147], "expectation_value": -2.02898111133137, "params": [1.6984000000000001, 0.0041, 0.4606, 0.0043, 0.4535, 0.0094, 1.6852, 0.0061, 1.4527, 0.009300000000000001, 0.051800000000000006, 0.0022, 1.6986, 0.0001, 1.6011, 0.006900000000000001, 0.0071, 0.006, 0.0054, 0.0046, 0.006, 0.006500000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101100", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6984) q[0];
rz(0.0041) q[0];
rx(0.4606) q[1];
rz(0.0043) q[1];
rx(0.4535) q[2];
rz(0.0094) q[2];
rx(1.6852) q[3];
rz(0.0061) q[3];
rx(1.4527) q[4];
rz(0.0093) q[4];
rx(0.0518) q[5];
rz(0.0022) q[5];
rx(1.6986) q[6];
rz(0.0001) q[6];
rx(1.6011) 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": []} |
0d8d9440607c15706cae5380bc7bfd0c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.712464489298214, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12292577896568423, 0.2699718422461768], "optimization_time": 1073.9376015663147} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932613, "smallest_bitstrings": ["1010101001010101"]} | 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];
cry(-0.5936) q[8], q[9];
cry(-0.594) q[12], q[13];
cry(-0.5944) q[14], q[15];
cry(-0.5938) q[10], q[11];
cry(-0.5936) q[7], ... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5936) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... |
63170e2b24569f75db0909519710ee87 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1023], "expectation_value": -29.64358595127178, "params": [[[0.0021000000000000003, 1.6068], [0.002, 0.0021000000000000003], [0.0019, 0.002], [0.0024000000000000002, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0034000000000000002, -0.003], [0.0022, 0.0027], [-0.0032, 0.0026000000000000003]... | -3.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -2.... | 15 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0021) q[0];
ry(0.002) q[1];
ry(0.0019) q[2];
ry(0.0024) q[3];
ry(0.0024) q[4];
ry(0.0034) q[5];
ry(0.0022) q[6];
ry(-0.0032) q[7];
ry(0.0032) q[8];
ry(-0.0028) 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] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [6, 7], "expectation_value": -6.01062763921675, "params": [[[0.2665, -0.2308], [0.31120000000000003, -0.1908], [0.26630000000000004, 0.2354], [0.2577, -0.2315], [0.6532, -0.0008], [0.6202000000000001, 0.0027], [0.615, 0.0008]], [[0.25980000000000003, -0.2308], [0.3043, -0.1908], [0.26, 0.2354], [0.266, -0.23... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2665) q[0];
rz(-0.2308) q[0];
rx(0.3112) q[1];
rz(-0.1908) q[1];
rx(0.2663) q[2];
rz(0.2354) q[2];
rx(0.2577) q[3];
rz(-0.2315) q[3];
rx(0.6532) q[4];
rz(-0.0008) q[4];
rx(0.6202) q[5];
rz(0.0027) q[5];
rx(0.615) q[6];
rz(0.0008) q[6];
rx(0.2598) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8f9556ded5862d313741f5f580f26f44 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "tar... | {"states": [345, 236], "expectation_value": -7.798899752888978, "params": [[0.0589], [-0.0685]], "bitstrings": ["010100110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004063547793252641, 0.00500622909131056], "optimization_time": 2.0589993000030518} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 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(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.5301) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.5301) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.5301) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.5301) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | 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": [0, 1], "expectation_value": -6.027623409211263, "params": [0.0021000000000000003, -0.21580000000000002, 0.0043, 0.307, 0.0028, 0.2479, 0.0018000000000000002, 0.2054, 0.0039000000000000003, 0.27240000000000003, 0.4097, 0.0078000000000000005, -0.0013000000000000002, 0.1663, 0.0002, 0.3139, 0.0015, 0.222600000... | -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) | 3 | 6 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0021) q[0];
rz(-0.2158) q[0];
rx(0.0043) q[1];
rz(0.307) q[1];
rx(0.0028) q[2];
rz(0.2479) q[2];
rx(0.0018) q[3];
rz(0.2054) q[3];
rx(0.0039) q[4];
rz(0.2724) q[4];
rx(0.4097) q[5];
rz(0.0078) q[5];
crz(0.007) q[5], q[4];
crz(-0.2624) q[4], q[3];
crz(-0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
2588d6bc234a2ebe9da283ea0a74ab37 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 125.725177526474} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "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];
cry(1.5626) q[4], q[5];
cry(1.5693) q[5], q[2];
ry(1.5571) q[1];
cry(1.5681) q[1], q[6];
cry(1.0742) q[2], q[4];
ry(0.449) q[5];
cry(1.5036) q[5], q[7];
cry(1.4448) q[6], q[3];
cry(-1.399) q[7], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5626) 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] = measure q[5];\nc[6] = mea... |
7364134617263499022 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [26, 37], "expectation_value": -0.033157764539154824, "params": [[-0.0634], [0.0528]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 20, "probabilities": [0.01667808276184456, 0.01667808276184456], "optimization_time": 0.5715937614440918} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0634) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(-0.0634) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.0634) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0634) q[1];
cx q[3], q[1];
cx q[2], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.