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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 18.070855855941772} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "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];
ry(-1.5708) q[2];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[4], q[5];
ry(0.7003) q[4];
cry(-0.1259) q[3], q[0];
ry(-0.4549) q[5];
cry(0.4962) q[3], q[4];
cry(-0.3788) q[3], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -1.5583084769614008, "params": [[-0.0649, -0.0361, -0.0693], [0.07980000000000001, 0.0568, 0.0663]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.027062935944397244, 0.029195904839428202], "optimization_time": 2.562661647796631} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.1947) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0324) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.1623) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(0.1298) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.1947... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.16867184372931085, "params": [[-0.0504, -0.0487], [0.059000000000000004, 0.063]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.018556065997300423, 0.019180913088943038], "optimization_time": 2.112234354019165} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0252) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0504) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0504) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0252) q[3];
cx q[2], q[3];
cx q[0], q[5];
rz(-0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 5} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 45], "expectation_value": -0.16017755062607447, "params": [[0.0502, 0.027200000000000002, 0.0354, 0.060200000000000004], [-0.0487, -0.029500000000000002, -0.0285, -0.0405]], "bitstrings": ["0101001", "1010010"], "total_optimization_steps": 10, "probabilities": [0.009934567952913774, 0.009934567952913781... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0251) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0251) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0251) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0251) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 32.07383680343628} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[1];
cry(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
cry(-1.4868) q[6], q[0];
cry(1.121) q[4], q[6];
cry(-0.505) q[4], q[0];
ry(-1.2139) q[5];
cry(0.2304) q[2], q[6];
cry(-0.183) q[1], q[0];
c... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
622d839e3a993053d188056ec230b393 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 251], "expectation_value": -9.065026534053246, "params": [[[-0.503, 2.6004], [0.005200000000000001, 0.44320000000000004], [0.002, 0.0018000000000000002], [0.0019, 0.0018000000000000002], [0.0023, 0.0019], [1.6373, 0.039], [-0.0013000000000000002, 0.0424], [0.0016, -0.0017000000000000001]]], "bitstrings... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 15 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.503) q[0];
ry(0.0052) q[1];
ry(0.002) q[2];
ry(0.0019) q[3];
ry(0.0023) q[4];
ry(1.6373) q[5];
ry(-0.0013) q[6];
ry(0.0016) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(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... | {"node": 6} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 11.7550048828125} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "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(-1.5681) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
cry(0.1186) q[2], q[0];
cry(-0.0027) q[2], q[3];
cry(-0.0005... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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]... |
cd6b95f7911cf005cdf71a0eba496ffd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [243, 251], "expectation_value": -8.49999598512711, "params": null, "bitstrings": ["100001100", "100000100"], "total_optimization_steps": 80, "probabilities": [0.49999958250044885, 0.49999958250044885], "optimization_time": 121.99903845787048} | -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 * (... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100000100", "100011100", "100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[2];
cry(1.5681) q[2], q[3];
cry(1.5681) q[2], q[7];
cry(1.5486) q[2], q[4];
ry(1.5486) q[1];
cry(1.5706) q[2], q[8];
cry(-1.5706) q[2], q[0];
cry(-1.4449) q[3], q[6];
cry(-0.1... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
a61196a27e9d77181b30595d54711c88 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -18.58194899506546, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 27, "probabilities": [0.15880617211805254, 0.8164186366713136], "optimization_time": 37.95767307281494} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
cry(-1.5708) q[8], q[0];
ry(1.1156) q[8];
ry(-1.5708) q[2];
ry(-0.5198) q[0];
ry(-1.5708) q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
9396e0c9eb600561a2275b0f49d5c223 | 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": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3934, 3422], "expectation_value": -2.1076989330215326, "params": [[[1.7236, 0.0064, 0.0045000000000000005, 0.0045000000000000005], [0.2519, 0.0037, 1.4647000000000001, 0.008], [1.5985, 0.0046, 0.0064, 0.0059], [0.3579, -0.0001, 1.3734000000000002, 0.009600000000000001], [0.028900000000000002, 0.0007, 0.0038... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 12 | 1 | {"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, -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... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.7236) q[0];
rz(0.0064) q[0];
ry(0.2519) q[1];
rz(0.0037) q[1];
ry(1.5985) q[2];
rz(0.0046) q[2];
ry(0.3579) q[3];
rz(-0.0001) q[3];
ry(0.0289) q[4];
rz(0.0007) q[4];
ry(0.6312) q[5];
rz(0.0022) q[5];
ry(-0.0089) q[6];
rz(0.0005) q[6];
ry(1.5326) 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": []} |
22a94de1002e0d6d41a3223e7d8b4569 | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -29.279694131280667, "params": [[0.0154, -0.039900000000000005, -0.0085, 0.001], [-0.0386, 0.0494, 0.055200000000000006, 0.0656]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.008444127937794617, 0.010309139617417862], "optimiz... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"]} | 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(0.1386) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1386) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.1386) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.1386) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5e2a732b098851da922184712198063b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [142, 14], "expectation_value": -5.137496181975267, "params": [0.1386, 0.1305, 0.128, 0.1323, 0.0021000000000000003, 0.0085, -0.0019, -0.0036000000000000003, 0.2982, 0.3037, 0.2687, 0.2631, 0.2665, 0.2649, -0.0004, 0.0047, 0.1346, 0.13090000000000002, 0.12860000000000002, 0.1298, 0.0002, 0.001200000000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * Z(3) ... | 13 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110010", "11110001", "01110011", "11010101", "00110111", "01010111", "10110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.1386) q[0];
ry(0.128) q[1];
ry(0.0021) q[2];
ry(-0.0019) q[3];
ry(0.2982) q[4];
ry(0.2687) q[5];
ry(0.2665) q[6];
ry(-0.0004) q[7];
crz(0.1811) q[7], q[0];
crz(0.0364) q[6], q[7];
crz(-0.0028) q[5], q[6];
crz(0.0003) q[4], q[5];
crz(-0.1763) q[3], q[4];
c... | 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": []} |
c43b926cf3238fe22ae61a940306f07f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "... | {"states": [0, 4035], "expectation_value": -21.860110559699375, "params": [0.14070000000000002, 1.9982000000000002, -0.10840000000000001, 0.0009000000000000001, -0.5954, -0.6804, 1.0879, 0.0063, -1.4127, 1.7101000000000002, 0.14170000000000002, 0.0059, -0.5607, 1.0051, -0.0115, 0.0012000000000000001, -0.625300000000000... | -1.5 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -2.5 * (Z(3) @ Z(11)) + -2.5 * (Z(3) @ Z(10)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(10)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1407) q[0];
rz(1.9982) q[0];
rx(-0.5954) q[1];
rz(-0.6804) q[1];
rx(-1.4127) q[2];
rz(1.7101) q[2];
rx(-0.5607) q[3];
rz(1.0051) q[3];
rx(-0.6253) q[4];
rz(0.7556) q[4];
rx(-0.582) q[5];
rz(0.823) q[5];
rx(0.005) q[6];
rz(2.4397) q[6];
rx(0.0052) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
3881640076007148111 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2, 6], [1, 6, 7], [1, 3], [0, 8, 1, 6], [3, 5, 6], [8, 3, 6, 7], [2, 3], [0, 4], [8, 0, 7], [0, 8, 3, 5], [5, 7], [8, 2, 4, 6], [0, 2, 5, 6], [8, 3, 4, 5], [0, 3, 7]]} | {"states": [303, 301], "expectation_value": -2.068146613847877, "params": [1.2926, 1.2903, 0.604, 0.598, 0.6497, 0.6543, 1.0822, 1.0801, 0.5700000000000001, 0.5672, 1.0981, 1.0995000000000001, 1.2952000000000001, 1.2910000000000001, 0.6908000000000001, 0.6999000000000001, 1.2982, 1.2912000000000001, 0.0114, 0.0094, 0.1... | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(... | 13 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333334, -4.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.916666666666668, "smallest_bitstrings": ["011010010", "111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.2926) q[0];
ry(0.604) q[1];
ry(0.6497) q[2];
ry(1.0822) q[3];
ry(0.57) q[4];
ry(1.0981) q[5];
ry(1.2952) q[6];
ry(0.6908) q[7];
ry(1.2982) q[8];
crz(0.0114) q[8], q[0];
crz(0.1465) q[7], q[8];
crz(-0.0122) q[6], q[7];
crz(-0.0075) q[5], q[6];
crz(-0.3421)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
84b91339520a2e133912f29f3a567751 | 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": [341, 361], "expectation_value": -38.83046096129271, "params": [[[0.4752, 0.22260000000000002], [0.5014000000000001, 0.40130000000000005], [0.4395, 0.3201], [0.4546, 0.31980000000000003], [0.5019, 0.2454], [0.4762, 0.2984], [0.4898, 0.4585], [0.35050000000000003, 0.4415], [0.21100000000000002, 0.213500000000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(0) @ Z(9)) + 13.5 * Z(3) + 11.0 * Z(2) + 13.5 * Z(1) + 8.0 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 0.5 * Z(7) + -5.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1010010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4752) q[0];
ry(0.5014) q[1];
ry(0.4395) q[2];
ry(0.4546) q[3];
ry(0.5019) q[4];
ry(0.4762) q[5];
ry(0.4898) q[6];
ry(0.3505) q[7];
ry(0.211) q[8];
ry(0.2355) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | kclique | qaoa | {"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": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -4.18713139493541, "params": [[-0.0636, -0.0596, -0.0315, -0.0175], [0.0702, 0.0761, 0.0654, 0.058300000000000005]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.04317831307293484, 0.045131488094671865], "optimization_time": 6.096151351... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (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)) + 1.75 * ... | 12 | 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];
cx q[1], q[0];
rz(-0.2226) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2226) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2226) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2544) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
bce5ca5986693901af184e18507446b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.0905213046924112, "params": [[0.07250000000000001], [-0.0709]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00594892281875072, 0.005994915342633824], "optimization_time": 1.9938883781433105} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"]} | 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(-0.0363) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(0.0725) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(-0.2175) q[1];
cx q[2], q[1];
cx q[1], q[5];
rz(-0.2538) q[5];
cx q[1], q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
22a94de1002e0d6d41a3223e7d8b4569 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [486, 230], "expectation_value": -69.66937342466717, "params": [0.7547, 0.4157, 1.5869, 0.0035, 1.5824, -0.0029000000000000002, 1.5813000000000001, 0.0044, 0.0027, -1.1801000000000001, 0.6959000000000001, -0.42700000000000005, 1.5786, 0.0023, 1.591, -0.21960000000000002, 0.5978, -0.4716, 0.7546, 0.0008, 1.58... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7547) q[0];
rz(0.4157) q[0];
rx(1.5869) q[1];
rz(0.0035) q[1];
rx(1.5824) q[2];
rz(-0.0029) q[2];
rx(1.5813) q[3];
rz(0.0044) q[3];
rx(0.0027) q[4];
rz(-1.1801) q[4];
rx(0.6959) q[5];
rz(-0.427) q[5];
rx(1.5786) q[6];
rz(0.0023) q[6];
rx(1.591) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-1863440695494823104 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [2, 3, 4], [0, 1, 3, 4, 5], [2, 4, 5], [0, 1, 2]]} | {"states": [42, 29], "expectation_value": -0.05565604325035069, "params": [[0.0784], [-0.0779]], "bitstrings": ["010101", "100010"], "total_optimization_steps": 10, "probabilities": [0.01643274679476529, 0.016511873704453624], "optimization_time": 0.6244797706604004} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333337, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0523) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0523) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.034) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0523) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0078)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], ... | null | {"circuits": [], "gradients": []} |
1d579e37a468bd880bcb1092848cc668 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [1, 63], "expectation_value": -0.3392059554205977, "params": [[-0.0088, -0.0658], [-0.037200000000000004, 0.0631]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009179812953318338, 0.009179813865933941], "optimization_time": 2.193150520324707} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | 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(0.0088) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0088) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0132) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(0.0176) q[2];
cx q[3], q[2];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2df5083eec714b9fdc0c8843b7695063 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [109, 107], "expectation_value": -6.249170260349132, "params": [[0.057100000000000005], [-0.0601]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.0071390184157484595, 0.007307746705761654], "optimization_time": 1.6846632957458496} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(0.5139) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.5139) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.5139) q[1];
cx q[2], q[1];
cx q[3], q[4];
rz(0.5139) q[4];
cx q[3], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
d972279ded7f316374e6dacb276633a3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [0, 17], "expectation_value": -2.4136386792177156, "params": [[0.0751, 0.061700000000000005, 0.0664], [-0.085, -0.059300000000000005, -0.0511]], "bitstrings": ["11111111", "11101110"], "total_optimization_steps": 10, "probabilities": [0.011398193033401316, 0.012173394976131286], "optimization_time": 10.00353... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["10000000", "11000000", "11101110"]} | 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(-0.1502) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0751) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0376) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0376) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
cb501fbff3a682356b0923a44dd89d95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [96, 112], "expectation_value": -6.834163226691475, "params": [-0.004200000000000001, -0.19110000000000002, -0.004200000000000001, 0.0032, 0.912, 0.40740000000000004, 0.9093, 0.0044, 0.9027000000000001, 0.3861, 0.9082, 0.006, 0.8061, 0.3519, 0.8038000000000001, 0.0049, -0.0043, 0.4985, -0.0045000000000000005... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["10001111", "10011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0042) q[0];
rz(-0.1911) q[0];
rx(0.912) q[1];
rz(0.4074) q[1];
rx(0.9027) q[2];
rz(0.3861) q[2];
rx(0.8061) q[3];
rz(0.3519) q[3];
rx(-0.0043) q[4];
rz(0.4985) q[4];
rx(0.7869) q[5];
rz(0.5017) q[5];
rx(0.0503) q[6];
rz(-0.497) q[6];
rx(-0.0011) 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": []} |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [39, 45], "expectation_value": -1.5940259036337117, "params": [[-0.0641, -0.0656, -0.069, -0.0806], [0.07540000000000001, 0.0752, 0.0745, 0.07880000000000001]], "bitstrings": ["1011000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.020859619578391, 0.020965389188197806], "optimization_time... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0641) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0641) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0641) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0641) q[5];
cx q[0], q[5];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-7829104166610840793 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 7, 8], [8, 2, 3, 7], [8, 2, 5, 7], [0, 3, 5, 6, 7], [1, 2, 3, 5, 7], [0, 1, 5, 7], [0, 1, 2, 4, 6], [1, 2, 5, 6, 7]]} | {"states": [505, 493], "expectation_value": -1.146689224286854, "params": [[-0.4292], [0.4308]], "bitstrings": ["000000110", "000010010"], "total_optimization_steps": 50, "probabilities": [0.006652650579407081, 0.00715171023917965], "optimization_time": 5.829926490783691} | 0.18333333333333335 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["000111000", "000010110", "000010010", "010000101"]} | 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(-0.1574) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0858) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0858) q[3];
cx q[0], q[3];
cx q[1], q[7];
rz(-0.2003) q[7];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 53], "expectation_value": -0.2697807714933601, "params": [[0.059800000000000006, 0.0743], [-0.0405, -0.0611]], "bitstrings": ["1110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.009718802488813988, 0.010094788553745775], "optimization_time": 4.904099464416504} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0598) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0598) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.0598) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0598) q[5];
cx q[0], q[5];
cx q[5], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
196315b726206c16207648eaa35c0326 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [213, 115], "expectation_value": -6.848862174268213, "params": [[-0.0165, 0.0443], [0.024800000000000003, -0.0315]], "bitstrings": ["00101010", "10001100"], "total_optimization_steps": 10, "probabilities": [0.005383630851609864, 0.00561257570128353], "optimization_time": 2.8159918785095215} | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 14.0 * Z(3) + 19.5 * Z(1) + 18.5 * Z(2) + -3.5 * Z(4) + 10.0 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.165) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.165) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.165) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.165) q[2];
cx q[0], q[2];
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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
cfcf196786d6d074ade797fa6078553a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [390, 389], "expectation_value": -4.895489662394993, "params": [0.0347, 0.2187, 0.027100000000000003, 0.2046, 0.3965, -0.0175, 0.4015, -0.0307, 0.399, -0.0287, 0.4035, -0.0302, 0.0049, -0.2877, 0.0047, -0.29100000000000004, 0.0054, -0.1902, -0.0019, -0.3023, 0.0039000000000000003, -0.2707, -0.0014, -0.3134, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1000101010", "1001111010", "1001111001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0347) q[0];
rz(0.2187) q[0];
rx(0.3965) q[1];
rz(-0.0175) q[1];
rx(0.399) q[2];
rz(-0.0287) q[2];
rx(0.0049) q[3];
rz(-0.2877) q[3];
rx(0.0054) q[4];
rz(-0.1902) q[4];
rx(0.0039) q[5];
rz(-0.2707) q[5];
rx(-0.0007) q[6];
rz(-0.2442) q[6];
rx(0.4002) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
da6f888553e0928bf84cb7c24eceee80 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.1845020885551785, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 64.81114506721497} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"]} | 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[1];
ry(1.5708) q[4];
cry(1.5706) q[4], q[2];
cry(1.5486) q[4], q[6];
cry(1.5485) q[4], q[5];
cry(-1.0343) q[7], q[0];
ry(1.067) q[7];
cry(1.3882) q[6], q[3];
cry(-0.7227) q[4], q[0];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-5721678577940603186 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 4, 6, 10, 12], [1, 4, 6, 7, 12], [0, 1, 2, 3, 5, 7, 8, 9, 12], [0, 8, 10, 1], [0, 3, 4, 5, 6, 7, 11], [3, 5, 9, 10, 11, 12], [9, 4, 1, 7], [0, 2, 3, 5, 6, 7, 8, 9, 11, 12], [0, 3, 4, 9, 10], [1, 3, 6, 10, 11, 12], [0, 1, 4, 6, 9, 12], [1, 3, 4, 5,... | {"states": [5559, 5623], "expectation_value": -5.523339387807744, "params": [1.5710000000000002, 1.5664, 0.22870000000000001, 0.2295, 1.1432, 1.1401000000000001, 0.2087, 0.2142, 1.6536000000000002, 1.4936, 1.5690000000000002, 1.5663, 0.8785000000000001, 0.8766, 1.5689000000000002, 1.5691000000000002, 1.5686, 1.5682, 0.... | 0.342063492063492 * (Z(1) @ Z(4)) + 0.24841269841269842 * (Z(6) @ Z(4)) + 0.36626984126984125 * (Z(6) @ Z(1)) + 0.1753968253968254 * (Z(10) @ Z(4)) + 0.2972222222222222 * (Z(10) @ Z(1)) + 0.13293650793650794 * (Z(10) @ Z(6)) + 0.30396825396825394 * (Z(12) @ Z(4)) + 0.319047619047619 * (Z(12) @ Z(1)) + 0.338095238095238... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.8063492063492035], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.743253968253967, "smallest_bitstrings": ["0101000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.571) q[0];
ry(0.2287) q[1];
ry(1.1432) q[2];
ry(0.2087) q[3];
ry(1.6536) q[4];
ry(1.569) q[5];
ry(0.8785) q[6];
ry(1.5689) q[7];
ry(1.5686) q[8];
ry(0.215) q[9];
ry(1.6156) q[10];
ry(1.5276) q[11];
ry(1.5975) q[12];
crz(-0.0175) q[12], q[0];
crz(-0.004)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -3.505790072580555, "params": [[[0.1951, -0.2952], [0.302, -0.2548], [0.30670000000000003, -0.2605], [0.7884, 0.0014], [0.781, 0.0008], [0.5840000000000001, 0.0182]], [[0.1978, -0.29510000000000003], [0.29760000000000003, -0.2549], [0.30820000000000003, -0.2605], [0.7933, 0.0014]... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 1 | 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;
rx(0.1951) q[0];
rz(-0.2952) q[0];
rx(0.302) q[1];
rz(-0.2548) q[1];
rx(0.3067) q[2];
rz(-0.2605) q[2];
rx(0.7884) q[3];
rz(0.0014) q[3];
rx(0.781) q[4];
rz(0.0008) q[4];
rx(0.584) q[5];
rz(0.0182) q[5];
rx(0.1978) q[0];
rz(-0.2951) q[0];
rx(0.2976) q[1];
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": 3} | {"circuits": [], "gradients": []} |
-2458627907467398318 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [57, 49], "expectation_value": -0.03254883932354942, "params": [[[1.7025000000000001, 0.004200000000000001], [1.7322000000000002, 0.0002], [1.4836, 0.0066], [1.393, 0.006200000000000001], [1.454, 0.0014], [1.6759000000000002, 0.0057]]], "bitstrings": ["000110", "001110"], "total_optimization_steps": 180, "pr... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110001", "100101", "001110", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.7025) q[0];
rz(0.0042) q[0];
rx(1.7322) q[1];
rz(0.0002) q[1];
rx(1.4836) q[2];
rz(0.0066) q[2];
rx(1.393) q[3];
rz(0.0062) q[3];
rx(1.454) q[4];
rz(0.0014) q[4];
rx(1.6759) q[5];
rz(0.0057) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
743010493550951172 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 10], [2, 6, 7, 11, 12], [1, 12], [3, 12], [0, 4], [12, 5], [8, 6]]} | {"states": [4167, 4199], "expectation_value": -2.4407681008630773, "params": [1.2993000000000001, 1.3054000000000001, 0.1718, 0.1434, 0.4555, 0.6716000000000001, 0.152, 0.1024, 0.2596, 0.2745, 0.1608, 0.09620000000000001, 1.23, 1.2930000000000001, 0.6893, 1.2931000000000001, 0.2812, 0.278, 0.8096, 0.8533000000000001, 1... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(11) @ Z(6)) + 0.05 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(7)) + 0.05 * (Z(12) @ Z(6)) + 0.05 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.03333333333... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.2993) q[0];
ry(0.1718) q[1];
ry(0.4555) q[2];
ry(0.152) q[3];
ry(0.2596) q[4];
ry(0.1608) q[5];
ry(1.23) q[6];
ry(0.6893) q[7];
ry(0.2812) q[8];
ry(0.8096) q[9];
ry(1.1023) q[10];
ry(1.1322) q[11];
ry(1.2802) q[12];
crx(1.2696) q[12], q[0];
crx(0.8221) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [1, 31], "expectation_value": -1.4706114270999422, "params": [[-0.1736], [0.1736]], "bitstrings": ["1111110", "1100000"], "total_optimization_steps": 20, "probabilities": [0.01779706525011763, 0.019151563011821096], "optimization_time": 1.942373275756836} | -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 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2604) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1736) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.2604) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.2604) q[2];
cx q[3], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
016775dde850e8af4723e497734ae990 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [108, 76], "expectation_value": -4.414201734690429, "params": [0.0007, -0.1134, 2.3067, 0.0031000000000000003, 1.4535, -0.2242, 0.0178, 0.0037, 2.3066, -0.0031000000000000003, 2.2757, -0.0037, 0.3037, -0.0004, -0.0018000000000000002, 0.0018000000000000002, 0.0047, 0.8603000000000001, -0.5571, -0.0125, 0.869,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110011", "10110101", "11100101", "01011110", "10010111", "01001111", "11000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0007) q[0];
rz(-0.1134) q[0];
rx(2.3067) q[1];
rz(0.0031) q[1];
rx(1.4535) q[2];
rz(-0.2242) q[2];
rx(0.0178) q[3];
rz(0.0037) q[3];
rx(2.3066) q[4];
rz(-0.0031) q[4];
rx(2.2757) q[5];
rz(-0.0037) q[5];
rx(0.3037) q[6];
rz(-0.0004) q[6];
rx(-0.0018) 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": []} |
e776e7ca61722eeb2742e447edcfe87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [128, 3], "expectation_value": -2.8257457642169976, "params": [[0.0713, 0.061900000000000004], [-0.08080000000000001, -0.07200000000000001]], "bitstrings": ["01111111", "11111100"], "total_optimization_steps": 10, "probabilities": [0.009000588640662905, 0.00941675711156599], "optimization_time": 3.1664371490... | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.0357) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.1783) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.0713) q[6];
cx q[0], q[6];
cx q[5], q[2];
rz(-0.1783) q[2];
cx q[5], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2877266274159787005 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [4, 5], [0, 1, 2, 5, 6]]} | {"states": [82, 114], "expectation_value": -1.1166079826734268, "params": null, "bitstrings": ["0101101", "0001101"], "total_optimization_steps": 48, "probabilities": [0.12271516172040821, 0.13297342510427818], "optimization_time": 64.01457357406616} | 0.5 * (Z(2) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.0 * Z(3) + 0.1000000000000002 * Z(2) + 0.100... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[4];
ry(0.8763) q[5];
ry(-0.595) q[4];
cry(-1.0342) q[2], q[3];
ry(0.8222) q[2];
ry(-0.5545) q[3];
cry(0.4566) q[5], q[2];
cry(0.4176) q[2], q[5];
cry(-0.3196) q[5], q[3];
cry(-0.2972)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[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] = measure q[6... |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.68329409301424, "params": [0.4118, 0.6573, -0.3042, 0.5694, 0.42710000000000004, 0.6203000000000001, -0.1226, 0.9569000000000001, 0.4369, 0.8117000000000001, -0.4056, 0.5916, -0.44260000000000005, 0.6221, 0.328, 0.7956000000000001, -0.4267, 0.5670000000000001, -0.3267, 0.7... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4118) q[0];
rz(0.6573) q[0];
rx(0.4271) q[1];
rz(0.6203) q[1];
rx(0.4369) q[2];
rz(0.8117) q[2];
rx(-0.4426) q[3];
rz(0.6221) q[3];
rx(-0.4267) q[4];
rz(0.567) q[4];
rx(0.0058) q[5];
rz(0.8292) q[5];
rx(0.0027) q[6];
rz(0.6043) q[6];
rx(0.0021) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -24.000657040259114, "params": [0.0009000000000000001, -0.3926, -0.003, -0.4884, -0.0038, -0.4998, 0.0011, -0.5085000000000001, 0.527, -0.0067, 0.5318, -0.016900000000000002, 0.5303, 0.0079, 0.5335, 0.0005, 0.5275000000000001, 0.0115, 0.5263, -0.0013000000000000002, -0.2883, ... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 5 | 10 | 3 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0009) q[0];
rz(-0.3926) q[0];
rx(-0.0038) q[1];
rz(-0.4998) q[1];
rx(0.527) q[2];
rz(-0.0067) q[2];
rx(0.5303) q[3];
rz(0.0079) q[3];
rx(0.5275) q[4];
rz(0.0115) q[4];
rx(-0.2883) q[5];
rz(0.0094) q[5];
rx(0.5249) q[6];
rz(-0.0037) q[6];
rx(0.5281) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
53443c2554b7b29b1b1ebf9166c92779 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capac... | {"states": [1022, 511], "expectation_value": -8.569970675940764, "params": [[[-0.0055000000000000005, -0.008], [-0.0054, 0.4539], [-0.003, 0.0035], [-0.0022, -0.0019], [-0.0077, 0.0022], [-0.0028, -0.0031000000000000003], [-0.0055000000000000005, -0.0029000000000000002], [-0.0027, -0.0026000000000000003], [-1.2917, -0.... | -0.75 * (Z(0) @ Z(7)) + -0.75 * (Z(2) @ Z(7)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(8)) + -1.5 * (Z(5) @ Z(8)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0055) q[0];
ry(-0.0054) q[1];
ry(-0.003) q[2];
ry(-0.0022) q[3];
ry(-0.0077) q[4];
ry(-0.0028) q[5];
ry(-0.0055) q[6];
ry(-0.0027) q[7];
ry(-1.2917) q[8];
ry(0.5857) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3b06cb30ced0c2f8bd5bf344157cda95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [84, 116], "expectation_value": -4.34247356588831, "params": [[[0.14500000000000002, 0.381], [0.27490000000000003, 0.2998], [0.9005000000000001, -0.0007], [0.8667, -0.0016], [0.9002, 0.0015], [0.6970000000000001, -0.0886], [0.909, 0.0011], [-0.0027, -0.4424], [0.00030000000000000003, -0.4626]], [[0.145500000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011011", "101001011", "110001011", "110100011", "010110011", "101100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.145) q[0];
rz(0.381) q[0];
rx(0.2749) q[1];
rz(0.2998) q[1];
rx(0.9005) q[2];
rz(-0.0007) q[2];
rx(0.8667) q[3];
rz(-0.0016) q[3];
rx(0.9002) q[4];
rz(0.0015) q[4];
rx(0.697) q[5];
rz(-0.0886) q[5];
rx(0.909) q[6];
rz(0.0011) q[6];
rx(-0.0027) 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": []} |
5463976637697435311 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5, 6, 7], [0, 1, 3, 4, 5, 6], [0, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 7]]} | {"states": [62, 31], "expectation_value": -0.3413862386246953, "params": [[-0.39530000000000004], [0.3809]], "bitstrings": ["11000001", "11100000"], "total_optimization_steps": 40, "probabilities": [0.00622281595850107, 0.006222815958501071], "optimization_time": 42.958617210388184} | 0.08333333333333334 * (Z(1) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(6) @ Z(2)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.10714285714285715 * (Z(6) @ Z(5)) + 0.10714285714285715 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.10714285714285... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.790476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.7904761904761908, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0659) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.0847) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(-0.0922) q[5];
cx q[1], q[5];
cx q[2], q[6];
rz(-0.0584) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
6566101714083330160 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [11, 3, 5], [8, 1, 2], [4, 6], [1, 11], [6, 7], [2, 10], [9, 3], [2, 11], [8, 4, 7], [10, 11, 7], [0, 3, 4], [10, 3]]} | {"states": [246, 1270], "expectation_value": -4.308245152634996, "params": [[[0.4559, -0.0033, 0.004200000000000001, 0.003], [0.46680000000000005, 0.0035, 1.57, 0.005], [1.1480000000000001, -0.0022, -1.0167000000000002, 0.0051], [0.45790000000000003, 0.0027, 2.4686, 0.004], [1.4506000000000001, 0.0015, 1.69600000000000... | 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) +... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333333, "smallest_bitstrings": ["101100001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4559) q[0];
rz(-0.0033) q[0];
ry(0.4668) q[1];
rz(0.0035) q[1];
ry(1.148) q[2];
rz(-0.0022) q[2];
ry(0.4579) q[3];
rz(0.0027) q[3];
ry(1.4506) q[4];
rz(0.0015) q[4];
ry(0.0024) q[5];
rz(-1.36) q[5];
ry(1.5682) q[6];
rz(-0.0021) q[6];
ry(1.8203) 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": []} |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [183, 165], "expectation_value": -4.999403499668487, "params": null, "bitstrings": ["101001000", "101011010"], "total_optimization_steps": 32, "probabilities": [0.12498082643107074, 0.12498082643107074], "optimization_time": 39.36949372291565} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5681) q[5];
ry(1.5486) q[3];
ry(1.5485) q[1];
cry(1.5486) q[3], q[8];
cry(-1.5681) q[8], q[0];
cry(-1.5485) q[8], q[2];
cry(0.0158) q[1], q[3];
cry(-0.0221) q[3], q[2];
cry(0.022) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 109.70048141479492} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
9f43fe75b2280c840369a5d99b502e49 | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.6343334331207244, "params": [[-0.0632, -0.0707], [0.0747, 0.0758]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.011132912341904961, 0.01155452780751289], "optimization_time": 5.92709493637085} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0632) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0632) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0632) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0632) q[5];
cx q[0], q[5];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -19.859615999629177, "params": [[[-0.0011, -0.2369], [0.0024000000000000002, 0.23020000000000002], [0.0025, 0.2277], [0.0025, 0.2253], [0.4078, 0.0019]], [[0.0024000000000000002, -0.2026], [0.0015, 0.2303], [0.0022, 0.2262], [0.0033, 0.2247], [0.4053, 0.002]], [[-0.00340000000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0011) q[0];
rz(-0.2369) q[0];
rx(0.0024) q[1];
rz(0.2302) q[1];
rx(0.0025) q[2];
rz(0.2277) q[2];
rx(0.0025) q[3];
rz(0.2253) q[3];
rx(0.4078) q[4];
rz(0.0019) q[4];
rx(0.0024) q[0];
rz(-0.2026) q[0];
rx(0.0015) q[1];
rz(0.2303) q[1];
rx(0.0022) q[2];
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": []} |
4914270367321221261 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [3, 6], [1, 2, 6], [3, 4, 5], [1, 5, 6], [0, 2, 4, 5]]} | {"states": [244, 47], "expectation_value": -0.5639147007557146, "params": [[0.27340000000000003], [-0.2816]], "bitstrings": ["00001011", "11010000"], "total_optimization_steps": 30, "probabilities": [0.008809225837689888, 0.008841874041100404], "optimization_time": 2.541527509689331} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00001011", "11010000"]} | 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[7], q[3];
rz(0.2734) q[3];
cx q[7], q[3];
cx q[3], q[6];
rz(0.2734) q[6];
cx q[3], q[6];
cx q[6], q[1];
rz(0.1823) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.0911) q[2];
cx q[6], q[2];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [14, 26], "expectation_value": -0.31543648151069215, "params": [[0.0711, 0.0751, 0.07590000000000001], [-0.0487, -0.0655, -0.06910000000000001]], "bitstrings": ["110001", "100101"], "total_optimization_steps": 10, "probabilities": [0.022970369283817238, 0.022970369283817238], "optimization_time": 3.563954830... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0355) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0355) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0355) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0355) 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] 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": []} |
756d3d75bc595261d2d71e6ce1da2290 | 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": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [60, 108], "expectation_value": -3.999089679918524, "params": null, "bitstrings": ["1000011", "0010011"], "total_optimization_steps": 32, "probabilities": [0.06552749627239239, 0.933832594648185], "optimization_time": 33.96661925315857} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010011", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[0], q[2];
ry(0.7003) q[0];
cry(-0.1259) q[3], q[5];
ry(-0.4549) q[2];
cry(0.4963) q[4], q[0];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [5, 12], "expectation_value": -2.8487382014713045, "params": null, "bitstrings": ["111010", "110011"], "total_optimization_steps": 17, "probabilities": [0.07349404985440221, 0.9006961705259788], "optimization_time": 19.804030895233154} | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[4];
ry(-1.5158) q[1];
ry(-1.445) q[0];
ry(1.4448) q[3];
cry(-1.0344) q[2], q[5];
ry(0.7004) q[2];
ry(-0.455) q[5];
cry(0.4963) q[3], q[2];
cry(-0.3788) q[3], q[5];
cry(-0.1186) q[3], q[0];
cry(0.107... | 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[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... |
eb37df157f972d0ca6ce6f2978928048 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 10.42752742767334} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[2];
cry(-1.5158) q[5], q[0];
ry(1.1269) q[5];
ry(-0.547) q[0];
ry(-1.3839) q[4];
ry(-1.3706) q[1];
ry(1.3569) q[3];
cry(0.309) q[3], q[5];
cry(-0.2118) q[3], q[0];
cry(0.191) q[5], q[3];
cry(-0.1824... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -23.160296327204968, "params": [[0.0287, -0.0235, 0.0245, 0.0068000000000000005], [-0.0585, -0.0086, -0.0459, -0.053700000000000005]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011341587434650476, 0.01422448182576319], "optimi... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2009) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2009) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2009) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2009) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
af56ef2bee9fa35379eebfd165c008bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [56, 26], "expectation_value": -1.6807466413984324, "params": [[0.0775, 0.0771, 0.0762], [-0.08220000000000001, -0.0799, -0.076]], "bitstrings": ["1000111", "1100101"], "total_optimization_steps": 10, "probabilities": [0.017082955802416054, 0.017082955802416068], "optimization_time": 4.481090784072876} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0775) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0775) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0775) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0775) q[4];
cx q[0], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
864f213918e4b694952e53439a24874e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [280, 281], "expectation_value": -6.561379508106336, "params": [0.0032, 0.9971000000000001, 2.8465000000000003, 0.0, -0.0025, 0.0039000000000000003, -0.0024000000000000002, 0.0088, -0.0028, 1.1777, 1.6267, -0.0035, 2.8682000000000003, -0.0, -0.0024000000000000002, 0.0074, -0.0023, 0.9523, -1.6216000000000002... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 4 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0032) q[0];
rz(0.9971) q[0];
rx(2.8465) q[1];
rz(0) q[1];
rx(-0.0025) q[2];
rz(0.0039) q[2];
rx(-0.0024) q[3];
rz(0.0088) q[3];
rx(-0.0028) q[4];
rz(1.1777) q[4];
rx(1.6267) q[5];
rz(-0.0035) q[5];
rx(2.8682) q[6];
rz(0) q[6];
rx(-0.0024) q[7];
rz(0.007... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-8504159703099461588 | hypermaxcut | adaptive_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": [478, 463], "expectation_value": -3.284765361024511, "params": null, "bitstrings": ["1000100001", "1000110000"], "total_optimization_steps": 67, "probabilities": [0.03717291764647266, 0.8914343954910285], "optimization_time": 174.3465313911438} | 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... | 1 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5693) q[8];
ry(1.4803) q[7];
ry(1.237) q[2];
cry(-0.8146) q[9], q[5];
ry(0.8865) q[9];
cry(-0.7245) q[2], q[5];
cry(0.5021) q[8], q[9];
ry(0.8514) q[6];
cry(-0.3839) q[8], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5693) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 13.496161222457886} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "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(-1.5681) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[3], q[5];
ry(0.6944) q[3];
ry(-0.451) q[5];
cry(0.4963) q[2], q[3];
cry(-0.3778) q[2], q[5];
cry(0.2518) q[0], q[3];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -1.6966118503273298, "params": [[0.0781, 0.0729], [-0.0809, -0.064]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 10, "probabilities": [0.01596260727292318, 0.016095612095761287], "optimization_time": 3.316303014755249} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | 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(-0.1172) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0391) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1562) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1562) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
daa025a90e4398677fe5b0d273c8f8d1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -0.8124482100536893, "params": [[0.0656], [-0.06910000000000001]], "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0003775269575182167, 0.000377526957518217], "optimization_time": 2.111375093460083} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(-0.1968) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0656) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2624) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 10} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 23.96854853630066} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
cry(-1.5693) q[3], q[1];
ry(0.9836) q[4];
ry(-0.3652) q[2];
ry(0.7038) q[3];
ry(-0.2773) q[1];
cry(0.2734) q[4], q[3];
cry(-0.1886) q[4], q[1];
cry(-0.1076) q[3], q[2];
cry(0.23... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-2336222853355689424 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 5], [8, 3, 5], [0, 1, 2, 3, 4, 6, 8, 9, 10], [1, 2, 3, 4, 7, 8, 10], [10, 5, 6], [0, 1, 4, 7, 8, 9, 10], [0, 3, 4, 6, 7, 8, 9], [0, 10, 3, 7], [3, 4, 5], [2, 4, 6, 7, 9, 10], [0, 10, 5, 7], [0, 2, 3, 6, 7], [1, 2, 5, 6], [0, 4, 5, 8, 9, 10]]} | {"states": [1982, 1214], "expectation_value": -2.1651575023595244, "params": [1.2049, -0.0324, 1.2031, 0.0016, 0.6654, 0.39590000000000003, 0.6582, 0.4052, 0.6543, -0.30670000000000003, 0.6563, 0.0092, 1.2767000000000002, -0.0189, 1.2922, 0.0204, 0.6543, -0.33230000000000004, 0.6605000000000001, 0.0048000000000000004, ... | 0.21388888888888888 * (Z(10) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(6) @ Z(10)) + 0.037698412698412696 * (Z(9) @ Z(3)) + 0.09484126984126984 * (Z(9) @ Z(10)) + 0.19999999999999998 * (Z(9) @ Z(6)) + 0.08769841269841269 * (Z(4) @ Z(3)) + 0.037698412698412696 * (Z(4) @ Z(10)) + 0.3333333333333333 * (Z(4... | 8 | 11 | 1 | {"smallest_eigenvalues": [-3.187301587301587], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1619047619047618, "smallest_bitstrings": ["01101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.2049) q[0];
rz(-0.0324) q[0];
rx(0.6654) q[1];
rz(0.3959) q[1];
rx(0.6543) q[2];
rz(-0.3067) q[2];
rx(1.2767) q[3];
rz(-0.0189) q[3];
rx(0.6543) q[4];
rz(-0.3323) q[4];
rx(1.2863) q[5];
rz(-0.058) q[5];
rx(1.0723) q[6];
rz(0.0057) q[6];
rx(1.2824) 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": []} |
1779337858150862282 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [4, 5], [1, 2, 3]]} | {"states": [5, 13], "expectation_value": -1.1855944140865886, "params": null, "bitstrings": ["111010", "110010"], "total_optimization_steps": 34, "probabilities": [0.12539633059555305, 0.5197527415920894], "optimization_time": 26.536965131759644} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["000110", "101010", "101001", "000101", "110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[0];
ry(0.971) q[3];
ry(-0.6611) q[0];
cry(-1.0342) q[5], q[4];
ry(0.7003) q[5];
cry(0.4157) q[5], q[3];
ry(-0.4549) q[4];
cry(0.4694) q[3], q[5];
cry(-0.3625) q[3], q[4];
cry(-0.2705) q[5], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
607dfe672a9c089714e83d20227118f4 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [698, 762], "expectation_value": -2.5500941144951206, "params": [[0.49420000000000003, 1.0170000000000001, -0.0476, 1.3903, 0.4022, 1.3767, 0.6185, 1.3855000000000002, -0.002, 1.0759, -0.0926], [0.7955, 1.3503, 0.4343, 0.8277, -0.0247, 0.45680000000000004, -0.015700000000000002, 0.4183, -0.0014, 0.9880000000... | 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)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["10001000110", "10001010100", "10001... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4942) q[0];
ry(1.017) q[1];
ry(-0.0476) q[2];
ry(1.3903) q[3];
ry(0.4022) q[4];
ry(1.3767) q[5];
ry(0.6185) q[6];
ry(1.3855) q[7];
ry(-0.002) q[8];
ry(1.0759) q[9];
ry(-0.0926) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
13897d244e0881b4447dd2a9a298bf14 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [119, 118], "expectation_value": -46.73597283979099, "params": [1.5491000000000001, 0.0022, 2.7942, 0.0032, 2.7931, 0.0022, 2.7983000000000002, 0.009000000000000001, 1.383, 0.0061, 2.8047, 0.001, 2.8061000000000003, 0.006500000000000001, 1.5634000000000001, 0.0036000000000000003, 0.007500000000000001, 0.0061... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 18 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5491) q[0];
rz(0.0022) q[0];
rx(2.7942) q[1];
rz(0.0032) q[1];
rx(2.7931) q[2];
rz(0.0022) q[2];
rx(2.7983) q[3];
rz(0.009) q[3];
rx(1.383) q[4];
rz(0.0061) q[4];
rx(2.8047) q[5];
rz(0.001) q[5];
rx(2.8061) q[6];
rz(0.0065) q[6];
rx(1.5634) q[7];
rz(0.003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [56, 41], "expectation_value": -4.996515641776615, "params": null, "bitstrings": ["1000111", "1010110"], "total_optimization_steps": 26, "probabilities": [0.06700895329685967, 0.929746164097619], "optimization_time": 28.918260097503662} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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[0];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(-0.4578) q[2];
cry(0.497) q[3], q[6];
cry(-0.3761) q[3], q[2];
cry(0.24... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
27f91ac61eafc4edd382d0960965a450 | 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": [335, 327], "expectation_value": -62.80077415956052, "params": [0.8984000000000001, 0.0641, -0.0051, 0.5229, 0.9048, 0.1618, 0.323, 0.3131, 0.2803, 0.31270000000000003, 0.4655, 0.4033, 0.9012, 0.0915, 0.8984000000000001, 0.0235, 0.895, -0.0034000000000000002, 0.894, 0.0902, 0.0006000000000000001, 0.5258, 0.9... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8984) q[0];
rz(0.0641) q[0];
rx(-0.0051) q[1];
rz(0.5229) q[1];
rx(0.9048) q[2];
rz(0.1618) q[2];
rx(0.323) q[3];
rz(0.3131) q[3];
rx(0.2803) q[4];
rz(0.3127) q[4];
rx(0.4655) q[5];
rz(0.4033) q[5];
rx(0.9012) q[6];
rz(0.0915) q[6];
rx(0.8984) 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]}"} | {"circuits": [], "gradients": []} |
0bc68bad4c5e6ed282b5085eb4cabe2e | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "... | {"states": [0, 4095], "expectation_value": -27.21635671714127, "params": [[[0.0022, 1.6142], [0.0022, 0.0022], [0.0018000000000000002, 0.0018000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0018000000000000002, 0.0021000000000000003], [0.0017000000000000001, 0.0018000000000000002], [0.00180000000000... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(11) @ Z(10)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0022) q[0];
ry(0.0022) q[1];
ry(0.0018) q[2];
ry(0.0018) q[3];
ry(0.0018) q[4];
ry(0.0017) q[5];
ry(0.0018) q[6];
ry(0.0021) q[7];
ry(0.0028) q[8];
ry(0.0031) q[9];
ry(0.0028) q[10];
ry(0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[12] c;
qubit[12] q;
ry(x0) q[0];
ry(... | {"node": 2} | {"circuits": [], "gradients": []} |
7540973123277887831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 5], [0, 3, 4], [9, 4, 6], [0, 5], [0, 1], [5, 7], [3, 5, 6], [2, 6], [0, 2], [2, 3], [8, 4, 6], [4, 6, 7], [1, 5], [9, 2, 7], [0, 4, 7], [1, 3, 4], [9, 5, 6], [9, 2, 5], [8, 1, 4]]} | {"states": [591, 847], "expectation_value": -3.813951195570459, "params": [1.0986, 0.0027, 1.085, 0.0055000000000000005, 1.1025, 0.1268, 0.7951, 0.0055000000000000005, 0.8527, -0.0064, 0.46490000000000004, 0.0037, 1.1009, -0.0036000000000000003, 1.0957000000000001, 0.0004, 1.1042, 0.0098, 1.0989, 0.008400000000000001, ... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.33333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5000000000000036, "smallest_bitstrings": ["0010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0986) q[0];
rz(0.0027) q[0];
rx(1.1025) q[1];
rz(0.1268) q[1];
rx(0.8527) q[2];
rz(-0.0064) q[2];
rx(1.1009) q[3];
rz(-0.0036) q[3];
rx(1.1042) q[4];
rz(0.0098) q[4];
rx(0.9396) q[5];
rz(0.0031) q[5];
rx(1.0952) q[6];
rz(0.0027) q[6];
rx(1.1029) 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": []} |
14573335ed5b867ba544598418a40acb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -9.81820595876934, "params": [0.0045000000000000005, 0.1004, -0.003, 0.1424, 0.0036000000000000003, 0.15, 0.004, 0.1524, 0.0028, 0.1164, 0.0021000000000000003, 0.1476, 0.0022, 0.1474, 0.0076, 0.1603, 0.0008, 0.1554, 0.005, 0.17220000000000002, 0.0035, 0.16, 0.0043, 0.1569, 0.0046... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110", "1111111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0045) q[0];
rz(0.1004) q[0];
rx(0.0036) q[1];
rz(0.15) q[1];
rx(0.0028) q[2];
rz(0.1164) q[2];
rx(0.0022) q[3];
rz(0.1474) q[3];
rx(0.0008) q[4];
rz(0.1554) q[4];
rx(0.0035) q[5];
rz(0.16) q[5];
rx(0.0046) q[6];
rz(0.1263) q[6];
rx(0.003) q[7];
rz(0.143... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
ae9c84de96340fafef2df50aa0a81910 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [938, 942], "expectation_value": -2.4166065550158247, "params": [[[0.4345, -0.030100000000000002, 0.0043, 0.005200000000000001], [0.4923, 0.0026000000000000003, 0.47540000000000004, 0.0098], [-0.38620000000000004, 0.0077, 0.0064, 0.0118], [0.5387000000000001, -0.025900000000000003, 0.6204000000000001, 0.0029... | 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(5... | 12 | 11 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 27, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100100000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4345) q[0];
rz(-0.0301) q[0];
ry(0.4923) q[1];
rz(0.0026) q[1];
ry(-0.3862) q[2];
rz(0.0077) q[2];
ry(0.5387) q[3];
rz(-0.0259) q[3];
ry(-0.0036) q[4];
rz(0.4207) q[4];
ry(0.2853) q[5];
rz(0.0017) q[5];
ry(-0.0013) q[6];
rz(0.0523) q[6];
ry(0.5858) 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": []} |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.42232597844093356, "params": [[-0.061500000000000006, -0.0509, -0.0499], [0.0761, 0.0695, 0.0685]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.02438075613331319, 0.02477936280953667], "optimization_time": 2.9184176921844482} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0615) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0615) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0615) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.0615) q[4];
cx q[3], q[4];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
a8cbc7b2d97b00e13208bba5a49e2bfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.02737839244422, "params": [[[0.0014, 0.3573], [-0.009300000000000001, 0.0026000000000000003], [0.0015, -0.0029000000000000002], [0.0008, -0.0029000000000000002], [-0.0019, -0.0022], [0.0007, -0.0029000000000000002], [-0.0035, -0.0022], [0.0004, -0.0012000000000000001], ... | -0.5 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(9) @ Z(7)) + -1.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(9)) + -1.25 * (Z(8) @ Z(3)) + -0.25 * (Z(5)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0014) q[0];
ry(-0.0093) q[1];
ry(0.0015) q[2];
ry(0.0008) q[3];
ry(-0.0019) q[4];
ry(0.0007) q[5];
ry(-0.0035) q[6];
ry(0.0004) q[7];
ry(-0.0019) q[8];
ry(-0.3695) q[9];
ry(-0.0063) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1781, 3485], "expectation_value": -0.9398952100720636, "params": [[0.0609, 0.055900000000000005, 0.0369], [-0.0651, -0.05, -0.038]], "bitstrings": ["100100001010", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.000413867226179303, 0.0004138672261793031], "optimization_time": 11.3317472... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[3];
rz(0.0609) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0609) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0609) q[5];
cx q[3], q[5];
cx q[3], q[6];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 26.690391778945923} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5681) q[6], q[0];
ry(1.111) q[6];
ry(-1.5706) q[2];
ry(-1.5708) q[4];
ry(-0.5668) q[0];
ry(1.5576) q[3];
cry(0.3562) q[3], q[6];
cry(-0.1713) q[3], q[0];
cry(0.0835) q[1], q[6];
cry(-0.0377) q[1], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
6502104399488242620 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [1, 4], [0, 2, 5], [1, 2, 3], [0, 2, 4], [0, 3], [1, 5], [3, 5], [0, 4, 5]]} | {"states": [113, 30], "expectation_value": -0.08908872653271928, "params": [[-0.0697], [0.0767]], "bitstrings": ["0001110", "1100001"], "total_optimization_steps": 10, "probabilities": [0.008602452063186598, 0.00866139652536448], "optimization_time": 2.084848165512085} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.500000000000001, "smallest_bitstrings": ["1100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.0697) q[5];
cx q[6], q[5];
cx q[5], q[1];
rz(-0.0697) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(-0.0232) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(-0.0697) q[4];
cx q[1], q[4];
cx q[5], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(... | null | {"circuits": [], "gradients": []} |
ec9ff3207d000463c19c23961aa86ce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1017], "expectation_value": -12.224900228584037, "params": [0.0466, -1.8917000000000002, -0.046700000000000005, 0.0064, -0.27390000000000003, 1.7759, -0.4184, 0.0014, 0.5613, -0.060200000000000004, -1.1376, 0.0004, -0.5107, 2.3652, -0.4399, 0.0035, -0.6085, 1.8453000000000002, -0.4954, 0.001, -0.4217, 1.... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0466) q[0];
rz(-1.8917) q[0];
rx(-0.2739) q[1];
rz(1.7759) q[1];
rx(0.5613) q[2];
rz(-0.0602) q[2];
rx(-0.5107) q[3];
rz(2.3652) q[3];
rx(-0.6085) q[4];
rz(1.8453) q[4];
rx(-0.4217) q[5];
rz(1.4518) q[5];
rx(-0.8204) q[6];
rz(2.2375) q[6];
rx(0.0015) 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[... | {"node": 6} | {"circuits": [], "gradients": []} |
fc004364023d9de40312a47332ff3203 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [470, 478], "expectation_value": -2.519323838904291, "params": [-0.0035, 0.4257, 0.7845000000000001, 0.1567, 0.7875000000000001, -0.0046, 0.7782, -0.0051, 0.1111, 0.39280000000000004, 0.5692, 0.171, 0.5431, 0.1297, 0.748, -0.0218, 0.7607, -0.0038, 0.22890000000000002, -0.2975, 0.0017000000000000001, 0.408900... | 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(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.... | 16 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000001100", "1000010010", "0011100000", "0101001000", "1000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0035) q[0];
rz(0.4257) q[0];
rx(0.7845) q[1];
rz(0.1567) q[1];
rx(0.7875) q[2];
rz(-0.0046) q[2];
rx(0.7782) q[3];
rz(-0.0051) q[3];
rx(0.1111) q[4];
rz(0.3928) q[4];
rx(0.5692) q[5];
rz(0.171) q[5];
rx(0.5431) q[6];
rz(0.1297) q[6];
rx(0.748) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.27057999700459323, "params": [[0.048100000000000004, 0.0616, 0.0442, 0.0316], [-0.029300000000000003, -0.0536, -0.0463, -0.0386]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.021821648383327584, 0.02234500568137461], "optimization_... | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.0241) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(-0.0722) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(-0.0722) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.0241) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 7], "expectation_value": -5.123460262950377, "params": [-0.7651, 0.7585000000000001, 0.5953, 0.9306000000000001, 0.7906000000000001, 1.2454, -0.6515000000000001, 0.9359000000000001, 0.7766000000000001, 1.4923000000000002, -0.5311, 0.9864, 0.6937, 1.358, -0.442, 1.2127000000000001, 0.0917, 0.7577, 0.5008,... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 6 | 4 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.7651) q[0];
rz(0.7585) q[0];
rx(0.7906) q[1];
rz(1.2454) q[1];
rx(0.7766) q[2];
rz(1.4923) q[2];
rx(0.6937) q[3];
rz(1.358) q[3];
crx(0.4741) q[3], q[2];
crx(0.7831) q[3], q[1];
crx(-1.4765) q[3], q[0];
crx(0.2965) q[2], q[3];
crx(0.7831) q[2], q[1];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
9dd8266042fcde8d0f7c760b71b9c0f3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [170, 186], "expectation_value": -5.471141325441005, "params": [[-0.0035, 1.0424, -0.0017000000000000001, 1.1667, 0.48400000000000004, 1.1536, 0.0021000000000000003, 1.0401, -0.0001], [-0.0016, 1.0494, 0.012, 0.6931, -0.0976, 0.7226, 0.0017000000000000001, 1.0493000000000001, 0.0002], [-0.0011, 1.0415, -0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -2.0 * Z(8) + -0.5 * Z(1) + -1.0 * Z... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["100100101", "101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0035) q[0];
ry(1.0424) q[1];
ry(-0.0017) q[2];
ry(1.1667) q[3];
ry(0.484) q[4];
ry(1.1536) q[5];
ry(0.0021) q[6];
ry(1.0401) q[7];
ry(-0.0001) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
35afd4cd3dcd327db2f1b4589e236376 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [193, 197], "expectation_value": -4.028629052696172, "params": [0.9007000000000001, 0.0038, 0.8981, 0.0004, 0.29050000000000004, -0.43510000000000004, 0.0028, 0.461, -0.0088, 0.23650000000000002, 0.9003, 0.0037, 0.34900000000000003, -0.3423, 0.904, -0.0021000000000000003, 0.9004000000000001, -0.0197000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00111010", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9007) q[0];
rz(0.0038) q[0];
rx(0.8981) q[1];
rz(0.0004) q[1];
rx(0.2905) q[2];
rz(-0.4351) q[2];
rx(0.0028) q[3];
rz(0.461) q[3];
rx(-0.0088) q[4];
rz(0.2365) q[4];
rx(0.9003) q[5];
rz(0.0037) q[5];
rx(0.349) q[6];
rz(-0.3423) q[6];
rx(0.904) 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": []} |
d6991d057b315b177a32f1a4a2aac75c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [506, 250], "expectation_value": -1.7978489245705913, "params": [0.6788000000000001, 0.6868000000000001, 0.6812, 0.6919000000000001, 0.9061, 0.8997, 0.9001, 0.903, 0.9038, 0.8991, 0.9006000000000001, 0.902, 0.911, 0.9099, 0.0001, -0.0032, 0.903, 0.9055000000000001, 0.0013000000000000002, -0.00520000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000000111", "0010100101", "1000100101", "0100100101", "1100000101", "0100010101", "0101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6788) q[0];
ry(0.6812) q[1];
ry(0.9061) q[2];
ry(0.9001) q[3];
ry(0.9038) q[4];
ry(0.9006) q[5];
ry(0.911) q[6];
ry(0.0001) q[7];
ry(0.903) q[8];
ry(0.0013) q[9];
crx(0.4181) q[9], q[0];
crx(0.0022) q[8], q[9];
crx(0.6578) q[7], q[8];
crx(0.0027) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-2865884077564365777 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6], [2, 6, 7], [1, 4, 6], [0, 6], [1, 6, 7], [0, 4, 5], [3, 5, 6], [4, 7], [3, 4, 6], [0, 2, 4], [0, 2, 7]]} | {"states": [110, 46], "expectation_value": -3.3103852450018576, "params": null, "bitstrings": ["10010001", "11010001"], "total_optimization_steps": 29, "probabilities": [0.49384673882414737, 0.49384673882414737], "optimization_time": 42.92627477645874} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326, -3.3333333333333326], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["10010001", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5681) q[6];
ry(1.2292) q[2];
cry(-1.2103) q[2], q[0];
ry(1.4272) q[4];
cry(-1.4395) q[4], q[7];
cry(-1.2069) q[4], q[3];
cry(1.1777) q[6], q[5];
cry(0.2587) q[6], q[2];
cry(-0.3776) q[6], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
c22cec1796f2f52036673550667aae4b | 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": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -11.304301563680507, "params": [[-0.0397], [0.0697]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00380028544270063, 0.004427649809416347], "optimization_time": 1.9785759449005127} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.3573) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3573) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3573) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3573) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
49178776ac26264118c80ca0dee8c33c | 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": 7, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 7, "s... | {"states": [255, 1], "expectation_value": -2.607672759715262, "params": [[0.059300000000000005, 0.0757], [-0.032600000000000004, -0.06330000000000001]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00520191973360415, 0.00543998612164584], "optimization_time": 4.215159654... | -1.75 * (Z(0) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -2.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2076) q[0];
cx q[1], q[0];
cx q[0], q[8];
rz(0.2372) q[8];
cx q[0], q[8];
cx q[1], q[2];
rz(-0.089) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.2076) q[3];
cx q[1], 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": []} |
4d70328aecc8c1ea3157fc10838636c1 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -7.572587521353903, "params": [0.1986, 0.2601, 0.1462, 0.27030000000000004, 0.23040000000000002, 0.2675, 0.1477, 0.2747, 0.54, 0.11750000000000001, 0.5119, 0.1625, 0.5102, 0.1189, 0.1907, 0.2646, 0.14200000000000002, 0.2697, 0.2258, 0.2644, 0.1411, 0.275, 0.5381, 0.14170000000000... | 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 ... | 3 | 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;
rx(0.1986) q[0];
rz(0.2601) q[0];
rx(0.1462) q[1];
rz(0.2703) q[1];
rx(0.2304) q[2];
rz(0.2675) q[2];
rx(0.1477) q[3];
rz(0.2747) q[3];
rx(0.54) q[4];
rz(0.1175) q[4];
rx(0.5119) q[5];
rz(0.1625) q[5];
rx(0.5102) q[6];
rz(0.1189) q[6];
crz(0.2409) q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8732464698204845961 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 4, 6], [1, 2, 5], [0, 5], [2, 3, 5], [0, 1, 2], [1, 2, 3], [1, 4, 5]]} | {"states": [108, 47], "expectation_value": -1.0871581336635772, "params": [[-0.3578], [0.3642]], "bitstrings": ["0010011", "1010000"], "total_optimization_steps": 40, "probabilities": [0.025619887063163163, 0.025746271466168667], "optimization_time": 1.604992151260376} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1010000"]} | 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[2];
rz(-0.3578) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.1193) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.1193) q[0];
cx q[2], q[0];
cx q[4], q[6];
rz(-0.1193) q[6];
cx q[4], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x1) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(... | null | {"circuits": [], "gradients": []} |
efdf1647847c4caab8e1de5e0281093e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [257, 271], "expectation_value": -31.3246313012447, "params": [[[-0.0031000000000000003, 0.0029000000000000002], [0.002, 0.0024000000000000002], [0.0021000000000000003, 0.0018000000000000002], [3.1383, -0.0025], [0.0028, 0.0031000000000000003], [0.0024000000000000002, 0.0027], [0.0025, 0.0017000000000000001]... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + 3.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(10) @ Z(... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.25, -32.25, -32.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -30.25, "smallest_bitstrings": ["111011110000", "111011010000", "110011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0031) q[0];
ry(0.002) q[1];
ry(0.0021) q[2];
ry(3.1383) q[3];
ry(0.0028) q[4];
ry(0.0024) q[5];
ry(0.0025) q[6];
ry(0.0025) q[7];
ry(0.0024) q[8];
ry(-0.0027) q[9];
ry(3.144) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
86e4b8099a203166b41398b899a0f326 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1265, 1249], "expectation_value": -106.87286194141028, "params": [3.0899, 0.0029000000000000002, 0.0021000000000000003, 0.0001, 0.45480000000000004, 0.0079, 3.0915000000000004, 0.0064, 3.1003000000000003, 0.0079, 3.0976000000000004, 0.0061, 1.472, 0.0058000000000000005, 0.003, 0.0004, -0.0024000000000000002... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(6)) + -6.5 * Z(1) + 8.0 * Z(0) + 15.0 * Z(3) + 2.5 * Z(2) + 18.0 * Z(6) + 15.0 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01100011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.0899) q[0];
rz(0.0029) q[0];
rx(0.0021) q[1];
rz(0.0001) q[1];
rx(0.4548) q[2];
rz(0.0079) q[2];
rx(3.0915) q[3];
rz(0.0064) q[3];
rx(3.1003) q[4];
rz(0.0079) q[4];
rx(3.0976) q[5];
rz(0.0061) q[5];
rx(1.472) q[6];
rz(0.0058) q[6];
rx(0.003) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 191.06436896324158} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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];
ry(1.5708) q[2];
cry(1.5708) q[2], q[4];
cry(1.5706) q[2], q[6];
cry(1.57) q[3], q[5];
cry(1.5707) q[5], q[1];
cry(1.566) q[5], q[7];
cry(1.0109) q[7], q[3];
ry(0.2929) q[5];
cry(-1.4176) 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];\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[... |
3115647320033794844 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 1]]} | {"states": [6, 9], "expectation_value": -0.030445493331742984, "params": [[-0.0687], [0.0751]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06634466488012673, 0.06634466488012673], "optimization_time": 0.7113404273986816} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.0687) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(-0.0687) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.0687) q[0];
cx q[1], q[0];
rz(0) q[3];
rz(0) q[2];
rz(0) q[1];
rz(0) q[0];
h q[0];
rz(0.1502) q[0];
h q[0];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[1];
... | null | {"circuits": [], "gradients": []} |
bdc39d8330d1d7cee03559144a025856 | 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": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -17.225175098402843, "params": [0.0038, 0.4549, 0.0022, 0.5862, 0.0023, 0.5630000000000001, 0.0027, 0.5964, -0.0017000000000000001, 0.0049, 0.0029000000000000002, 0.4597, 0.0057, -0.14930000000000002, 0.0025, 0.449, 0.8049000000000001, 0.0037, 0.0036000000000000003, -0.0348000000... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0038) q[0];
rz(0.4549) q[0];
rx(0.0022) q[1];
rz(0.5862) q[1];
rx(0.0023) q[2];
rz(0.563) q[2];
rx(0.0027) q[3];
rz(0.5964) q[3];
rx(-0.0017) q[4];
rz(0.0049) q[4];
rx(0.0029) q[5];
rz(0.4597) q[5];
rx(0.0057) q[6];
rz(-0.1493) q[6];
rx(0.0025) 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": 8} | {"circuits": [], "gradients": []} |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [338, 346], "expectation_value": -2.8520536308487294, "params": [[0.9968, 0.033, 1.0006000000000002, 0.002, 0.9989, 0.9931000000000001, -0.0068000000000000005, 0.9987, -0.0228], [1.0029000000000001, -0.0733, 0.9931000000000001, 0.0021000000000000003, 0.3927, 0.37260000000000004, -0.005200000000000001, 0.9975... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["010100101", "010110010", "010101100", "100100101", "010100110", "011100100", "001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9968) q[0];
ry(0.033) q[1];
ry(1.0006) q[2];
ry(0.002) q[3];
ry(0.9989) q[4];
ry(0.9931) q[5];
ry(-0.0068) q[6];
ry(0.9987) q[7];
ry(-0.0228) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-2075692636776882479 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5, 7], [2, 4], [0, 4], [8, 1], [3, 5], [1, 6]]} | {"states": [29, 152], "expectation_value": -0.028854376596554737, "params": [[-0.048600000000000004], [0.0545]], "bitstrings": ["111100010", "101100111"], "total_optimization_steps": 10, "probabilities": [0.002068153119903949, 0.002068153119903949], "optimization_time": 2.094224214553833} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666663 * Z(5) + 0.16666666666666674 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["111001000", "101001101", "111100010", "101100111"]} | 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[4];
rz(-0.0162) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(-0.0162) q[7];
cx q[5], q[7];
cx q[4], q[7];
rz(-0.0162) q[7];
cx q[4], q[7];
cx q[4], q[2];
rz(-0.0486) q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[4], q[7];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
f4058862d2cc91e963663e2c69858d5f | 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": 3}, {"source": 1, "target": 5}, ... | {"states": [1655, 1623], "expectation_value": -2.5160110611410222, "params": [2.6098000000000003, 0.0095, 2.6002, 0.008700000000000001, 0.0034000000000000002, 0.0035, 0.5728, 0.0041, 2.6051, 0.0004, 1.5664, 0.006, 2.5999000000000003, 0.008400000000000001, 0.2857, 0.001, 2.5914, 0.0094, 2.5897, 0.0014, 2.6051, 0.0025, 0... | 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)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(6) @ Z(4)... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["00110010010", "00110001100", "00110... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.6098) q[0];
rz(0.0095) q[0];
rx(2.6002) q[1];
rz(0.0087) q[1];
rx(0.0034) q[2];
rz(0.0035) q[2];
rx(0.5728) q[3];
rz(0.0041) q[3];
rx(2.6051) q[4];
rz(0.0004) q[4];
rx(1.5664) q[5];
rz(0.006) q[5];
rx(2.5999) q[6];
rz(0.0084) q[6];
rx(0.2857) 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": []} |
4dc7eb2b16579aab0e582a9105750b79 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [31, 127], "expectation_value": -8.106749666602122, "params": null, "bitstrings": ["1100000", "0000000"], "total_optimization_steps": 76, "probabilities": [0.15697998721560305, 0.46978021604161685], "optimization_time": 64.29788208007812} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5706) q[2], q[3];
cry(1.5681) q[5], q[6];
cry(1.5708) q[6], q[4];
cry(1.2536) q[4], q[5];
cry(0.4771) q[4], q[6];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-0.1694) q[4];
cry(0.1694) q[5], ... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5706) q[2], 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]... |
c4f38c3f6d00b9cff0998d2f5aa9786b | matching | 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": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 17, "sourc... | {"states": [246, 244], "expectation_value": -19.389497039565104, "params": [[-0.0342, 0.0713], [0.0711, -0.041600000000000005]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005596325420510111, 0.007388025018903009], "optimization_time": 3.6641879081726074} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "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[1], q[0];
rz(-0.342) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.342) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.342) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.342) q[3];
cx q[1], 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [25, 88], "expectation_value": -3.9890916346515803, "params": null, "bitstrings": ["1100110", "0100111"], "total_optimization_steps": 32, "probabilities": [0.0607191660472404, 0.8639381839616302], "optimization_time": 33.27216601371765} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
cry(-1.0398) q[0], q[6];
cry(-1.0342) q[2], q[1];
ry(0.7022) q[0];
ry(0.7003) q[2];
ry(-0.4578) q[6];
cry(0.4969) q[3], q[0];
ry(-0.4549) q[1];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.284690974673754, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 116.67448163032532} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(1.5706) q[1], q[4];
cry(1.57) q[4], q[2];
cry(1.1547) q[2], q[1];
cry(0.4389) q[2], q[4];
cry(1.559) q[2], q[3];
cry(1.554) q[1], q[6];
cry(-1.4395) q[6], q[0];
cry(0.143) q[3], q[1];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-8335504485545061947 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [0, 1, 3, 4, 5, 6, 7, 8, 9], [2, 4]]} | {"states": [0, 479], "expectation_value": -0.07888578185595518, "params": [0.6899000000000001, 0.003, 0.6863, 0.0067, 0.6979000000000001, 0.0019, 0.6938000000000001, 0.0046, 0.7090000000000001, 0.0014, 0.7079000000000001, 0.0001, 0.7074, -0.0016, 0.7008, 0.0036000000000000003, 0.6939000000000001, 0.0014, 0.6822, 0.0033... | 0.5 * (Z(0) @ Z(2)) + 0.013888888888888888 * (Z(1) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.013888888888888888 * (Z(4) @ Z(0)) + 0.013888888888888888 * (Z(4) @ Z(1)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.013888888888888888 * (Z(5) @ Z(0)) + 0.0... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666676, "smallest_bitstrings": ["1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6899) q[0];
rz(0.003) q[0];
rx(0.6979) q[1];
rz(0.0019) q[1];
rx(0.709) q[2];
rz(0.0014) q[2];
rx(0.7074) q[3];
rz(-0.0016) q[3];
rx(0.6939) q[4];
rz(0.0014) q[4];
rx(0.7074) q[5];
rz(-0.0008) q[5];
rx(0.7086) q[6];
rz(-0.0013) q[6];
rx(0.707) 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": []} |
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