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 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fb3661142d8e003905bb73659b60c8ab | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [35, 113], "expectation_value": -0.2806427758733646, "params": [[-0.026500000000000003, 0.0364, 0.0058000000000000005, -0.0651], [0.057, -0.032100000000000004, -0.035, 0.0391]], "bitstrings": ["1011100", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008721150352157911, 0.009148939618296274]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25592938562548495) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.25592938562548495) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.25592938562548495) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.2559293... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IIZIZII",
"IZIIZII",
"IIIZZII",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.924739 | [
0.25592938562548495,
-1.5262981736065109,
0.803276814258165,
-0.9817149154994218,
-1.20387662858185,
1.0070577492345878,
-0.24407988242893283,
0.37746613333560075,
1.1791296031035432,
0.026527124002056205,
-0.045266137886553835,
-2.4191350823878968,
-1.8592558869391052,
-0.305400682481034,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
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": [2910, 1774], "expectation_value": -1.5296781412386458, "params": [[-0.047900000000000005, -0.055600000000000004, -0.051000000000000004, -0.006900000000000001], [0.051300000000000005, 0.0611, 0.0687, 0.0483]], "bitstrings": ["010010100001", "100100010001"], "total_optimization_steps": 10, "probabilities": [0... | 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 | 4 | {"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";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
266260d621043cabf37512f90b4b26ac | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 31.153965711593628} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
cx q[0], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
a1941b5b877a0f7cf4180c33739d5ac8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": ... | {"states": [271, 15], "expectation_value": -22.480120764599143, "params": null, "bitstrings": ["1011110000", "1111110000"], "total_optimization_steps": 100, "probabilities": [0.10251526655301531, 0.4602938388772321], "optimization_time": 256.07073187828064} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(6) @ Z(8)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9019306701473816) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.17748230890533442) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3797019514824839) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.17748230890533442) ... | null | {"node": 2} | {"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(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIIIZZII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-2.5,
0.5,
-3,
0.5,
-3,
1.5,
1.5,
-3,
-3,
0.5,
1,
1,
-2.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
1,
-3,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.503926 | [
-0.9019306701473816,
-0.17748230890533442,
-0.3797019514824839,
-0.04778213242962144,
-0.06587254235671493,
-1.39599132075323,
-0.3897177098356857,
-0.9956281207687085
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 207 |
629064d27778679294f16fb68c627d78 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.3604203288867394, "params": [[-0.0718, -0.08170000000000001, -0.0819], [0.07060000000000001, 0.0756, 0.07490000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011753217569430499, 0.012734271317966079], "optimization_ti... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.29968970243124693, "params": [[0.0601], [-0.0579]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004895744629968164, 0.004993387988586053], "optimization_time": 3.04150128364563} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) q[4];
rz(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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [64382, 56190], "expectation_value": -12.792257397454824, "params": [[[2.2665, 0.001, 0.0009000000000000001, 0.0035], [0.0045000000000000005, -0.117, 1.5733000000000001, 0.0032], [1.5413000000000001, 0.0014, 0.001, 0.0098], [0.0024000000000000002, 0.3068, 1.5730000000000002, 0.001], [3.1598, 0.0047, 0.008400... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 12 | 16 | 1 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 46.00000000000022} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
c86917abe9264b33bf2c4187d24dbc9b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [407, 406], "expectation_value": -78.34806173961388, "params": [0.7782, 0.0006000000000000001, 2.8952, 0.0043, 2.9028, 0.0077, -0.002, 0.0012000000000000001, -0.0023, 0.0059, 2.9042000000000003, 0.0085, 1.0973, 0.0098, 2.898, 0.0038, 2.8934, 0.0068000000000000005, 1.4897, 0.0086, 0.001, 0.005, 0.005800000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 3.0 * Z(0) + 12.0 * Z(1) + 5.5 * Z(2) + -4.5 * Z(3) + 14... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.3930287116578409) q[0];
rz(-0.3209753508257731) q[0];
rx(3.013684375619182) q[1];
rz(0.1725480107096922) q[1];
rx(3.088579262763333) q[2];
rz(-0.09977248925515855) q[2];
rx(-0.004913919622566969) q[3];
rz(0.15483978293492343) q[3];
rx(0.015703937504275067) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
3,
12,
5.5,
-4.5,
14,
-3.5,
7.5,
15,
10.5,
14
] | 0.977876 | [
0.3930287116578409,
-0.1388660832137325,
3.013684375619182,
0.1725480107096922,
3.088579262763333,
-0.09977248925515855,
-0.004913919622566969,
0.15483978293492343,
0.015703937504275067,
0.037774015763328395,
3.1123070069905956,
0.0025191572976188533,
0.14015673355180167,
-0.43782131569595... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 12 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [61117, 59325], "expectation_value": -15.27355561832748, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.0422249952477763, 0.7004648347042955], "optimization_time": 743.8829283714294} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.000000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"start_node": 0, "end_node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -2.6091337349671164, "params": [[0.0656, 0.061500000000000006, 0.0337, 0.009000000000000001], [-0.06910000000000001, -0.06280000000000001, -0.0427, -0.0297]], "bitstrings": ["111100", "110000"], "total_optimization_steps": 10, "probabilities": [0.03865611426081318, 0.04016931476... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
ebbcfcc208cf37a63e8082cb5e402f3c | 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": [407, 151], "expectation_value": -63.85991989594794, "params": [0.3602, -0.1293, 0.6954, 0.0342, 0.0013000000000000002, 0.4273, -0.00030000000000000003, 0.36510000000000004, 0.6986, 0.1024, 0.2772, 0.2228, 0.7046, 0.0095, 0.6925, 0.0026000000000000003, 0.6928000000000001, -0.0444, 0.3527, -0.1357000000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 19.5 * Z(1) + 7.5 * Z(0) + -3.5 * Z(2) + 17.0 * Z(4) + 3.0 * Z(5) + 3.0 * Z(6)... | 18 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 131.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.25524415652841276) q[0];
rz(-0.16368464096416036) q[0];
rx(0.7475754708229913) q[1];
rz(0.032535017528258624) q[1];
rx(0.04226021217058308) q[2];
rz(0.273477412563964) q[2];
rx(0.055780145899559305) q[3];
rz(0.0014073683447539398) q[3];
rx(0.6207429800343625) q[4];... | 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] 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 fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZZIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
19.5,
7.5,
-3.5,
17,
3,
3,
-2,
7.5,
19
] | 0.975699 | [
0.2552441565284127,
-0.18954852369368416,
0.7475754708229913,
0.032535017528258624,
0.04226021217058308,
0.273477412563964,
0.055780145899559305,
0.0014073683447539398,
0.6207429800343625,
0.03874854764749025,
0.1286730197203064,
0.03132357151471807,
0.8596508772591814,
-0.0289975531105595... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 7 |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 16.001773595809937} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.5029125213623047} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
b82b2dc414aaab9ccf6bd31b1d033127 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2047, 1791], "expectation_value": -15.784937339352577, "params": [0.0315, 0.5809000000000001, 0.021500000000000002, 0.0044, 0.5469, 0.2906, -0.8031, 0.0051, 0.8426, 0.8849, -0.6863, 0.0048000000000000004, 0.9925, 1.6455000000000002, 0.5625, 0.0037, -0.9256000000000001, 1.8476000000000001, -0.0446, 0.0062000... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(... | 6 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5767397945466777) q[0];
rz(1.647882103991308) q[0];
rx(0.3952685257970973) q[1];
rz(1.5890315371521933) q[1];
rx(0.10466682892865516) q[2];
rz(2.363857991519424) q[2];
rx(2.861938634619251) q[3];
rz(-2.6985951575021403) q[3];
rx(2.9109252036133806) q[4];
rz(2.9292... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
-1,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
-2,
1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971743 | [
0.5767397945466777,
0.07708577719641174,
0.3952685257970973,
0.018235210357296527,
0.10466682892865516,
0.793061664724528,
2.861938634619251,
2.0137938228825494,
-3.372260103566206,
1.3584141141143977,
-0.09443199743892637,
1.8540794562467735,
0.005932503514153878,
2.4710864662289764,
0.... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 169 |
-3747689584630567058 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 1, 3], [1, 3, 5], [3, 4, 7], [2, 4, 5], [0, 7], [2, 3, 7], [0, 6]]} | {"states": [107, 180], "expectation_value": -0.06513832490341556, "params": [[-0.0629], [0.0736]], "bitstrings": ["10010100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.004259529459910942, 0.004284789178367053], "optimization_time": 0.7578396797180176} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["01001011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8268172267297988) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.1216617127048703) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.1216617127048703) q[3];
cx q[4], q[3];
cx q[0], q[3];
rz(-0.1216617127048703) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIIZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIZII",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"IZIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZI... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
... | 0.515287 | [
-0.8268172267297988,
-0.1216617127048703,
-0.44512773661996297,
-1.0691065006232374,
0.0764879909204547,
0.7993161317481213
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 184 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [20, 5], "expectation_value": -0.22198613246219037, "params": [[-0.0379, -0.050100000000000006], [0.0454, 0.0562]], "bitstrings": ["01011", "11010"], "total_optimization_steps": 10, "probabilities": [0.03424370143994593, 0.03424370143994596], "optimization_time": 2.1238176822662354} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
5504242329039948831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 5, 8, 10], [0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12], [2, 3, 4, 5, 6, 8, 9, 11, 12], [1, 6, 8, 9, 11, 12], [4, 5, 7, 9, 11, 12], [3, 4, 6, 7, 9, 10], [0, 9, 3], [0, 1, 2, 4, 7, 9, 10, 11, 12], [1, 2, 3, 5, 8, 10, 11, 12], [1, 3, 12, 7], [1, 2, 5, 8,... | {"states": [5875, 5879], "expectation_value": -2.782011777448302, "params": [1.5723, 1.5759, 0.2116, 0.2071, 1.5686, 1.5767, 1.5606, 1.5747, 0.2686, 0.2777, 1.5696, 1.5667, 1.5677, 1.5802, 1.5690000000000002, 1.5678, 1.5777, 1.5678, 0.21380000000000002, 0.2054, 0.7939, 0.8171, 1.5571000000000002, 1.5805, 0.895400000000... | 0.09563492063492063 * (Z(0) @ Z(1)) + 0.12896825396825398 * (Z(5) @ Z(1)) + 0.07297979797979798 * (Z(5) @ Z(0)) + 0.1996031746031746 * (Z(8) @ Z(1)) + 0.09083694083694083 * (Z(8) @ Z(0)) + 0.13805916305916305 * (Z(8) @ Z(5)) + 0.1329365079365079 * (Z(10) @ Z(1)) + 0.09083694083694083 * (Z(10) @ Z(0)) + 0.11028138528138... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.0349567099567096], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.010930735930736, "smallest_bitstrings": ["0100100001000"], "largest_eigenvalue": 15.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6794529314546125) q[0];
rz(0.005733966477770903) q[0];
ry(-0.016777413925660976) q[1];
ry(1.6603046060840239) q[2];
ry(1.4346344743612833) q[3];
ry(0.19144455435537158) q[4];
ry(1.3391022271363218) q[5];
ry(1.4487045399321459) q[6];
ry(1.48188130296351) q[7];
ry(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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIZIIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIIIIZ",
"IIZIIIIZIIIII",
"IIZIZIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIZIIIIIZII",
"IIZIIIIIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZI... | [
0.09563492063492063,
0.12896825396825398,
0.07297979797979798,
0.1996031746031746,
0.09083694083694083,
0.13805916305916305,
0.1329365079365079,
0.09083694083694083,
0.11028138528138529,
0.15194805194805194,
0.14404761904761904,
0.054725829725829726,
0.10194805194805195,
0.1630591630591630... | 0.972255 | [
1.6794529314546125,
-0.016777413925660976,
1.6603046060840239,
1.4346344743612833,
0.19144455435537158,
1.3391022271363218,
1.4487045399321459,
1.48188130296351,
1.651223656278707,
-0.01047326701784514,
1.0978479383964577,
1.5188208174238886,
1.3393622904292366,
0.011467932955541806,
0.0... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -3.0349567099567096,
"target_ratio": 0.97,
"target_value": -2.943908008658008
} | 10 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 5], "expectation_value": -6.525476930491148, "params": [[[-0.0028, 0.0023], [0.0024000000000000002, 0.0031000000000000003], [-0.0026000000000000003, 0.0047], [0.0025, 0.0015], [0.0025, 0.006500000000000001], [-1.6225, 0.0019], [0.0027, 0.007500000000000001], [3.1595, 0.0028]]], "bitstrings": ["11111110",... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.386984348297119} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
8f80463061dac6ffb1ebd4107775147b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [255, 191], "expectation_value": -4.302964673462651, "params": [[-0.14980000000000002], [0.1671]], "bitstrings": ["1100000000", "1101000000"], "total_optimization_steps": 20, "probabilities": [0.004670835980244191, 0.004892405726210436], "optimization_time": 3.7494046688079834} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.5 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0182321452299936) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.09450283829425464) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.0182321452299936) q[1];
rx(0.9541175722772781) q[1];
rz(0.09450283829425464) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
-1.5,
0.5,
0.5,
-1,
-2,
0.5,
-2,
0.5,
-2.5,
-2,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.536993 | [
1.0182321452299936,
0.09450283829425464,
1.6525611961391342,
0.7598268398099871,
0.8632312990228548,
0.9541175722772782
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 161 |
221348728401429854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6, 7], [1, 2, 4], [0, 2, 3, 4, 7], [2, 3, 6, 7], [5, 7], [1, 5], [0, 1, 6], [0, 4, 5], [2, 3, 4, 5], [1, 3, 4]]} | {"states": [182, 241], "expectation_value": -0.04026345993851027, "params": [[0.051000000000000004], [-0.041100000000000005]], "bitstrings": ["01001001", "00001110"], "total_optimization_steps": 10, "probabilities": [0.00405381397191504, 0.004058552010931331], "optimization_time": 2.2162721157073975} | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.133333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.783333333333333, "smallest_bitstrings": ["00001110"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.7446791995684217) q[0];
rz(1.5077307797974253) q[0];
rx(0.9212373094744453) q[1];
rz(-0.038392961133075165) q[1];
cx q[1], q[0];
ry(-0.028513372880744438) q[0];
cx q[1], q[0];
ry(1.671252479590011) q[0];
rz(-1.9580734625325484) q[0];
rx(1.5524460970557816) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IZIIZIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZZII",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIZII",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIZIZII",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIII... | [
0.25,
0.16666666666666666,
0.25,
0.21666666666666667,
0.08333333333333333,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.3,
0.3333333333333333,
0.05,
0.3,
0.05,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.... | 0.97964 | [
1.7446791995684217,
-0.06306554699747174,
0.9212373094744453,
-0.038392961133075165,
1.4506288502567268,
-0.054483577452791636,
1.8944163036285018,
0.06828348573775123,
0.23192538338136187,
-0.460818355568299,
0.03423070651721495,
0.8367475724267764,
-0.0318452899786998,
0.6173345251393207... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.8666666666666663,
"target_ratio": 0.97,
"target_value": -2.7806666666666664
} | 17 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 34], "expectation_value": -3.4116322463037734, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.06012643125725526, 0.7888196926387847], "optimization_time": 16.68754005432129} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | 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... | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
1553cd9c76028f01bfb10c9355aac99a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [38, 294], "expectation_value": -4.4229930118206005, "params": [[[0.8629, 0.0019], [-0.004200000000000001, 0.46680000000000005], [0.08510000000000001, 0.4031], [0.9107000000000001, 0.0009000000000000001], [0.0723, -0.4123], [-0.0009000000000000001, -0.4612], [0.9031, -0.0011], [0.9105000000000001, 0.00090000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["011011001", "011010011", "011111000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.277810619391028) q[0];
ry(2.6846444294706795) q[0];
rz(-2.16411410757144) q[0];
rz(3.0524358986077083) q[1];
ry(0.12460356763928587) q[1];
rz(-2.803141116041623) q[1];
rz(-1.5380122216054675) q[2];
ry(0.07796708580006696) q[2];
rz(1.488420766221596) q[2];
rz(-0.823... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IIIIZZIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1.5,
0,
-1.5,
-0.5,
-0.5
] | 0.975828 | [
1.3155562020133336,
-0.12996073042710699,
-0.15566052296193666,
0.6443383971625811,
-0.039004480749113835,
0.06551837630400982,
1.9057571139508471,
-0.13128415955097733,
0.09301177893642401,
-0.4827008442901441,
-0.2581489899397383,
-0.06620097970676819,
1.4966353666998213,
-0.213992591243... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 13 |
185f4b48e29d187effa57245dadce54c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 2047], "expectation_value": -23.17389354104079, "params": [[[0.0026000000000000003, 1.6095000000000002], [0.0022, 0.0024000000000000002], [0.002, 0.002], [0.002, 0.0023], [0.0018000000000000002, 0.0022], [0.0026000000000000003, 0.0022], [0.0017000000000000001, 0.0019], [-0.0032, 0.0023], [0.0016, 0.00240... | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.6035448935952208) q[0];
h q[1];
ry(0.7204922431909038) q[1];
h q[2];
ry(0.6035448935952208) q[2];
h q[3];
ry(0.8034463689811735) q[3];
h q[4];
ry(0.6035448935952208) q[4];
h q[5];
cx q[5], q[0];
ry(-0.6035448935952208) q[0];
cx q[5], q[0];
cx q[0], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
ry(x0) q[0];
ry(... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-3,
1,
-3,
-2,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-3,
1.5,
-2.5,
0.5,
-2.5,
-1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.907202 | [
1.2070897871904416,
0.5076369418804848,
1.606892737962347,
1.4409844863818075,
-0.07643086470329546,
0.2317464538555083,
2.096436006691972,
0.0655629439779867,
-1.5656231291530027,
-0.024723023719732503,
0.024233381991111354,
-0.0710960470649171,
-0.030693417815898773,
1.155284352086507,
... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 500 |
8601745197598425109 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [1, 3], [2, 4, 7], [8, 5], [0, 3], [8, 4], [1, 2, 6], [2, 5, 6], [8, 0, 7], [8, 1, 7], [2, 4, 5], [0, 5], [3, 6], [0, 4]]} | {"states": [107, 122], "expectation_value": -3.7546512965122623, "params": null, "bitstrings": ["110010100", "110000101"], "total_optimization_steps": 74, "probabilities": [0.07293386377830317, 0.7370134029975506], "optimization_time": 162.88084602355957} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000002, "smallest_bitstrings": ["110000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6758501165045333) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.07498158241437967) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-0.6758501165045333) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(-0.6758501165045333) q[3];
cx q[1], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) q[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... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.333333333333333... | 0.50427 | [
-0.6758501165045333,
0.07498158241437967,
-0.22421030872098008,
-1.2605201545274547,
0.2131512142308638,
0.8251177350940072
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333334,
"target_ratio": 0.97,
"target_value": -4.203333333333334
} | 182 |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [141, 236], "expectation_value": -0.14092484311576348, "params": [[0.06770000000000001, 0.0659], [-0.0661, -0.0623]], "bitstrings": ["01110010", "00010011"], "total_optimization_steps": 10, "probabilities": [0.004914349837084719, 0.005335168362690078], "optimization_time": 6.864536285400391} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
936d7cf5c9c0d9de588b63bd63459921 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 240], "expectation_value": -11.780854594659852, "params": [[[0.0026000000000000003, 0.0098], [0.0022, 0.0033], [0.0022, 0.0033], [1.6026, 0.0095], [0.0029000000000000002, 0.0038], [0.0023, 0.0083], [1.0489, 0.0015], [-0.0039000000000000003, 0.001]]], "bitstrings": ["11111111", "00001111"], "total_optimiz... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1)... | 2 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.16209315168648422) q[0];
rz(0.2049635155108535) q[0];
rx(-0.06908476272071348) q[1];
rz(0.17003760597816747) q[1];
rx(-0.06908476272071348) q[2];
rz(0.17003760597816747) q[2];
rx(2.832931282188609) q[3];
rz(0.32004345762386466) q[3];
rx(0.08821551024664362) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZZIIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
-1.5
] | 0.976966 | [
-0.16209315168648422,
0.2049635155108535,
-0.06908476272071348,
0.17003760597816747,
2.832931282188609,
0.32004345762386466,
0.08821551024664362,
-0.25475248494628866,
0.11106246048053521,
0.19248362813176026,
0.2787492374480685,
-0.17478285227688492,
-0.02901511194697162,
0.04553702601249... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
d4d2041cd2410ded697949cce479b1e1 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -19.270260143438307, "params": [[[-0.01, -0.5071], [-0.0013000000000000002, 0.005200000000000001], [-0.0015, -0.0021000000000000003], [-0.0022, -0.0024000000000000002], [-0.0012000000000000001, -0.003], [-0.0263, -0.0021000000000000003], [-0.004, 0.0026000000000000003], [-0... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(2) @ Z(6)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11907103865730978) q[0];
ry(0.12275437170091451) q[1];
ry(-0.07998595326439674) q[2];
ry(-0.011550485772001066) q[3];
ry(0.032259555522980626) q[4];
ry(-0.001791567905969002) q[5];
ry(0.0010964561264376615) q[6];
ry(-0.016773702942928737) q[7];
ry(-0.039520997350... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IZIIIIIIZII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IZIIIIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIZII... | [
-1,
-1,
1.25,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-1,
-0.25,
-1,
-1,
-0.75,
-1,
-0.5,
-1.5,
-1,
-0.25,
-0.75,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
-1.75,
-0.25,
-0.75,
-0.5,
0.75,
-0.25,
-0.5,
1.75,
-1.75,
3.5,
-0.25
] | 0.972292 | [
-0.11907103865730978,
0.12275437170091451,
-0.07998595326439674,
-0.011550485772001066,
0.032259555522980626,
-0.001791567905969002,
0.0010964561264376615,
-0.016773702942928737,
-0.039520997350032075,
-0.47660985454440685,
-0.023665893855545093,
-0.8031297733469533,
-0.056819730287365505,
... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 45 |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 14.31854510307312} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [20, 24], "expectation_value": -2.9741073126594983, "params": null, "bitstrings": ["01011", "00111"], "total_optimization_steps": 14, "probabilities": [0.07397885559790421, 0.9005751935612479], "optimization_time": 6.78854513168335} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
-1
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
5297131974198579300 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12, 9, 7], [9, 2, 6], [3, 4, 6], [4, 6, 7, 10, 12], [1, 2, 10], [11, 5, 6], [0, 1, 2, 6, 12], [8, 9, 4, 5], [11, 12, 4, 6], [0, 3], [5, 12, 4, 6], [1, 10, 7], [4, 7, 8, 11, 12], [0, 6, 9, 11, 12], [11, 9, 3, 8], [9, 10, 12], [10, 5, 6], [1, 4, 6, ... | {"states": [5502, 5486], "expectation_value": -5.127025624780712, "params": [1.5711000000000002, 1.5658, 0.0025, 0.0025, 1.5694000000000001, 1.5767, 0.0025, 0.0025, 1.5674000000000001, 1.5690000000000002, -0.0024000000000000002, -0.0024000000000000002, 1.5656, 1.5709000000000002, 1.5717, 1.5751000000000002, 0.7618, 0.7... | 0.13333333333333333 * (Z(1) @ Z(12)) + 0.3 * (Z(9) @ Z(12)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(12)) + 0.25 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.05 * (Z(2) @ Z(12)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.31666666666666665 ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333335, "smallest_bitstrings": ["0101010010001"], "largest_eigenvalue": 19.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.686228620874662) q[0];
rz(0.4020775763797117) q[0];
ry(0.0013539911801241547) q[1];
ry(1.56457187893378) q[2];
ry(0.0013539911801241547) q[3];
ry(1.5514729371000087) q[4];
ry(-0.022296402814129535) q[5];
ry(1.4394485797096022) q[6];
ry(1.4237237783673296) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIZI",
"ZIIZIIIIIIIII",
"IIIZIIIIIIIZI",
"ZIIIIZIIIIIII",
"IIIIIZIIIIIZI",
"IIIZIZIIIIIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIIZZI",
"IIIZIIIIIIZII",
"ZIIIIIZIIIIII",
"IIIIIIZIIIIZI",
"IIIZIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIIIZIIIZII",
"IIIZIIIIIZIII",
"IIIIIIIIIZZII",
"IIIIIIZIIZI... | [
0.13333333333333333,
0.3,
0.08333333333333333,
0.18333333333333335,
0.25,
0.08333333333333333,
0.05,
0.21666666666666667,
0.16666666666666666,
0.31666666666666665,
0.1,
0.21666666666666667,
0.05,
0.21666666666666667,
0.08333333333333333,
0.5,
0.16666666666666666,
0.2666666666666666... | 0.987383 | [
1.686228620874662,
0.0013539911801241547,
1.56457187893378,
1.5514729371000087,
-0.022296402814129535,
1.4394485797096022,
1.4237237783673296,
0.8984108668599597,
1.5429177688329292,
1.595205331242969,
1.7191176385408666,
-0.025679509064675986,
0.8041551527594234,
-0.14015610520479369,
0... | {
"n_parameters": 41,
"n_qubits": 13,
"optimal_eigenvalue": -5.166666666666667,
"target_ratio": 0.97,
"target_value": -5.011666666666667
} | 1 |
5b687254c4697e5cca87307e123dcc37 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [335, 333], "expectation_value": -4.065742308387128, "params": [1.5938, 0.009600000000000001, 0.1335, 0.0063, 1.6146, 0.0099, 0.0032, 0.0013000000000000002, -0.010100000000000001, 0.0, 1.6026, 0.009600000000000001, 1.6051, 0.0064, 1.5597, 0.0095, 1.6106, 0.0033, 0.0079, 0.0011, 0.0039000000000000003, 0.0022,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(1) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110010", "110110000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.5744352396480636) q[0];
rz(0.8408946200122522) q[0];
rx(-0.008610668126610441) q[1];
rz(-0.3521132462436434) q[1];
rx(-2.878659256328457) q[2];
rz(0.17230648233396817) q[2];
rx(0.09884966696871382) q[3];
rz(0.01961190090367637) q[3];
rx(0.04394762088149357) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIIZIIIZI",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIZZIIII",
"ZIIIZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-1,
-0.5,
-1,
0,
-1.5,
-0.5
] | 0.976467 | [
0.5744352396480636,
0.24038998774749276,
-0.00861066812661044,
-0.1882084053026979,
3.4045260508511297,
0.2640035672955288,
0.0988496669687138,
0.25760999821034203,
0.04394762088149357,
0.08090953059159706,
3.3561854507345803,
2.939376736919178,
-0.1078615949973078,
2.8570012022539553,
0... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 29 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3447, 3443], "expectation_value": -5.462335047183331, "params": [3.1457, 0.006200000000000001, 2.3317, 0.003, 1.0836000000000001, 0.0027, 3.1478, 0.0081, 1.247, 0.0039000000000000003, 3.1373, 0.0034000000000000002, 2.7202, 0.0037, 3.1413, 0.0014, 1.2525000000000002, 0.0047, 1.5270000000000001, 0.00520000000... | 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(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
629064d27778679294f16fb68c627d78 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.6899403411932398, "params": [[0.07100000000000001, 0.08020000000000001], [-0.059000000000000004, -0.0781]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007188473313109306, 0.007597836753996945], "optimization_time": 3.4651260... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
a61196a27e9d77181b30595d54711c88 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [510, 1], "expectation_value": -0.0027691328415379024, "params": [[0.005], [-0.0021000000000000003]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019557517794792523, 0.001956168927334053], "optimization_time": 2.7277767658233643} | -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"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7593365234290921) q[0];
h q[1];
ry(-1.5186730468581842) q[1];
h q[2];
ry(-1.5186730468581842) q[2];
ry(-0.02606164722101131) q[3];
rz(-pi) q[3];
ry(-7.955699003038092e-08) q[4];
rz(-pi) q[4];
ry(-0.0260615986376298) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.518673... | OPENQASM 3.0;
include "stdgates.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[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIIZII",
"... | [
-0.5,
-1.25,
-1.25,
-1,
-0.25,
-1.75,
2.25,
-0.25,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.75,
-1.25,
-0.5,
-1,
-1,
1.5,
-0.25,
-0.75,
-2.25,
1.25,
-0.75,
-2,
1.75,
1.5
] | 0.963627 | [
-1.5186730468581842,
1.570796401099004,
-0.8114599009084138,
-1.5707961460296473,
4.756531504520507e-8,
-0.05212326543140261,
-0.052123362598165635,
-2.0241651814443675e-7
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 197 |
4788755b9046cb997ec5043a21f8c9e6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -23.19455819591301, "params": [[-0.027700000000000002, 0.0051], [0.06760000000000001, 0.058100000000000006]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005013698737513458, 0.006071596373136962], "optimization_time": 4.025037... | 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(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
3320932589923452721 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [88, 90], "expectation_value": -0.3960409760806583, "params": [0.6987, 0.0021000000000000003, 0.6987, 0.00030000000000000003, 0.6953, 0.0019, 0.6949000000000001, 0.0025, 0.6975, 0.0027, 0.6933, 0.0001, 0.7003, 0.0014, 0.7079000000000001, 0.0099, 0.7042, 0.0014, 0.7044, 0.0049, 0.7047, 0.0013000000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26682091506676353) q[0];
rz(1.4309365316191167) q[0];
rx(2.769144721440527) q[1];
rz(1.5887377994576273) q[1];
rx(-0.1373589195020712) q[2];
rz(1.5042748792213168) q[2];
rx(2.488063391905118) q[3];
rz(1.6889092661788156) q[3];
rx(1.6316248622682434) q[4];
rz(1.6889... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.979257 | [
0.2668209150667635,
-0.13985979517577984,
2.769144721440527,
0.01794147266273057,
-0.1373589195020712,
-0.06652144757358085,
2.488063391905118,
0.11811293938391901,
1.6316248622682432,
0.11034217280892343,
0.29752453433573667,
1.689592615954757,
0.1127357156816269,
0.20624065973925879,
-... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 95 |
a91613587e2e3ed31c854337981da9dd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.8050068756688852, "params": [[-0.028, -0.003, -0.0461, -0.030600000000000002], [0.0585, 0.0061, 0.0405, 0.030100000000000002]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006055028602055133, 0.006197258053237167], "optimizatio... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
da1b1c85f8e653b867f6f4bdba638afa | 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": 2}, {"source": 1, "target": 3}, ... | {"states": [4073, 3049], "expectation_value": -2.3142779458520106, "params": [[[0.49910000000000004, 0.0944], [0.37560000000000004, 0.1081], [0.5995, 0.3794], [0.5978, 0.43210000000000004], [0.604, 0.5429], [0.5982000000000001, 0.562], [0.3785, 0.49420000000000003], [0.052500000000000005, 0.3106], [0.5454, 0.5894], [-0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.125, "smallest_bitstrings": ["001000110100", "000110010010", "000100111000", "000100011010", "000100010110", "010100010010", "010000010110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
2d02f35370a8769eaaa03bbd3e88b224 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [108, 75], "expectation_value": -0.243267457710295, "params": [[0.0627, -0.019700000000000002, -0.051300000000000005], [-0.07100000000000001, -0.0347, 0.024900000000000002]], "bitstrings": ["0010011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.009107062767405163, 0.009282566737241807], "... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0010011", "0010110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.028724036569921858) q[0];
cx q[2], q[0];
rz(1.2326671886736946) q[0];
rx(-1.6076612753279809) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.028724036569921858) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.028724036569921858) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZIIIZII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
0,
0,
-1,
-0.5
] | 0.971132 | [
0.028724036569921858,
-1.5782905238710299,
1.2326671886736946,
-1.3850374293024992,
-4.44702294793995,
-1.6076612753279809
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 31 |
0af011a3e3efdc768bc04ec8158153df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [112, 113], "expectation_value": -3.4233837347558507, "params": [1.4935, 0.0013000000000000002, 1.5014, 0.0012000000000000001, 1.5046000000000002, 0.0011, 1.5143, 0.0032, 0.7144, -0.009300000000000001, -0.0109, -0.007500000000000001, 0.8568, 0.0032, 1.508, 0.0027, -1.4876, 1.4897, 1.497, -1.4804000000000002,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + 0.0... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01001110", "10001110", "01001101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2966615182449077) q[0];
rz(1.4528018972594596) q[0];
rx(1.832124516972417) q[1];
rz(1.4388039976368878) q[1];
rx(1.310584135824381) q[2];
rz(1.0847087689883903) q[2];
rx(-3.0836339689073156) q[3];
rz(1.679537082685231) q[3];
rx(-0.015525601156281847) q[4];
rz(0.906... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZII",
"IIZIZIII",
"IIIZZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-1,
-0.5,
-1,
-0.5,
0
] | 0.970616 | [
1.2966615182449075,
-0.11799442953543682,
1.832124516972417,
-0.13199232915800896,
1.310584135824381,
-0.48608755780650603,
3.199551338272271,
0.10874075589033444,
-0.015525601156281849,
-0.663816433659306,
0.15719412977826405,
-0.00857073229622754,
0.2289906585552641,
2.8613358627279117,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 29 |
9d618b5a9b1ff0c9d22bf2307d2539f6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [2012, 988], "expectation_value": -1.7584871830208748, "params": [[[0.4934, -0.093], [0.6973, -0.001], [0.7000000000000001, 0.0015], [0.7080000000000001, 0.0019], [0.7029000000000001, -0.0017000000000000001], [0.22970000000000002, 0.2222], [0.5772, -0.0002], [0.6415000000000001, 0.0014], [0.7014, -0.0015], [... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.3125, "smallest_bitstrings": ["00001011001", "10000100011", "00010100110"], "largest_eigenvalue": 7.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(2.3005137079446882) q[0];
ry(0.17898932320498048) q[0];
rz(-1.7479403313501902) q[0];
rz(2.890736195460052) q[1];
ry(2.872338746628866) q[1];
rz(-0.47950046179438655) q[1];
rz(-1.8007449339017298) q[2];
ry(3.012066851336555) q[2];
rz(2.312781948721341) q[2];
rz(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,... | 0.970506 | [
-0.12853901288059644,
0.161865105024566,
0.9799205281646557,
0.15775170851724332,
1.1632441810964185,
0.01671275696173672,
0.8767750547468265,
-0.35509032658414835,
0.16119759946187426,
-0.18372246424544106,
0.6876901197820804,
-0.49456171315644537,
0.6119904273766585,
0.24051031487265764,... | {
"n_parameters": 58,
"n_qubits": 11,
"optimal_eigenvalue": -4.3125,
"target_ratio": 0.97,
"target_value": -4.1831249999999995
} | 52 |
574f37e8ebeb372ca7f28db174f5ec6a | 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": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 20, "source": 1, "tar... | {"states": [374, 230], "expectation_value": -19.58909012790863, "params": [[0.034800000000000005, 0.011600000000000001], [-0.0697, -0.0656]], "bitstrings": ["010001001", "100011001"], "total_optimization_steps": 10, "probabilities": [0.00684886922488606, 0.008346979287744565], "optimization_time": 3.5005788803100586} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 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(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 8.5 * Z(0) + 17.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06347615235630236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06347615235630236) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06347615235630236) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06347615235630236) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12.5,
8.5,
17,
14.5,
0,
6,
13,
14.5,
5
] | 0.973326 | [
-0.06347615235630236,
1.378771432211851,
-0.26736631224345614,
1.8264342266826972,
1.2839795607937456,
-1.1241753309688465,
-0.9726377133835746,
1.567562394842919,
-1.6227803204903464,
-0.6625174313089589,
0.09910695985536705,
0.2456559334989009,
-1.565990058465821,
-0.3565266146745868,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 44 |
182a069273641020dc26595ce4905930 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [14, 76], "expectation_value": -3.99623714706493, "params": null, "bitstrings": ["1110001", "0110011"], "total_optimization_steps": 26, "probabilities": [0.06706855356024753, 0.9294631320333304], "optimization_time": 24.554619789123535} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100011", "0110011", "1110100", "1110001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.007242464658648869) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.007242464658648869) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.007242464658648869) q[5];
cx q[0], q[5];
rz(-1.7587402785726103) q[5];
rx(1.1264... | 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", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IIIZIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
0
] | 0.985084 | [
0.007242464658648869,
1.3643866291606521,
-1.75874027857261,
1.096394357304044,
-1.1287208486217732,
1.1264238424888084,
0.06931218740095733,
0.1199140580104439,
0.42838401811679144,
0.7057919332882043,
0.4479540603774709
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
8565743845165080816 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 6, 8, 11], [8, 0, 3, 4], [0, 1, 6, 8, 9], [3, 4, 6, 8, 9, 10], [0, 3, 10, 2], [1, 4, 9], [8, 1, 3, 4], [2, 5], [8, 3, 11, 5], [3, 2, 11, 7], [8, 3, 11, 6], [10, 11], [0, 1, 3, 5, 7], [8, 0, 10], [0, 1, 4, 5, 7]]} | {"states": [3454, 1406], "expectation_value": -3.375430688071594, "params": [[[1.524, 0.0022, 0.0054, 0.002], [0.002, -0.28700000000000003, 1.5728, 0.0053], [0.0023, 0.0076, 0.005200000000000001, 0.0085], [1.0432000000000001, 0.0023, 1.0529, 0.0013000000000000002], [0.0021000000000000003, 0.0064, 0.0039000000000000003,... | 0.35 * (Z(1) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(1)) + 0.25 * (Z(8) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(6)) + 0.05 * (Z(11) @ Z(4)) + 0.05 * (Z(11) @ Z(1)) + 0.13333333333333333 * (Z(11) @ Z(6)) + 0.21666666666666667 * (Z(11) @ Z(8)) + 0.1333333333... | 12 | 12 | 1 | {"smallest_eigenvalues": [-3.8833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8666666666666654, "smallest_bitstrings": ["101010000001"], "largest_eigenvalue": 14.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.5365173662016743) q[0];
rz(-0.010392705179458783) q[0];
ry(0.14595450260061896) q[1];
rz(-0.6467977010980849) q[1];
cz q[1], q[0];
ry(3.030727340223213) q[1];
ry(-0.04572477997649201) q[2];
rz(0.22486748544613663) q[2];
ry(0.9655981185689596) q[3];
rz(-0.045724779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIIZIIIIIIII",
"IIIIIIIZIIIZ",
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZIIZIII",
"IIIZIIIIZ... | [
0.35,
0.08333333333333334,
0.1,
0.25,
0.18333333333333335,
0.21666666666666667,
0.05,
0.05,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.15000000000000002,
0.05,
0.3,
0.2,
0.13333333333333333,
0.11666666666666667,
0.36666666666666664,
0.25,
0.216666666666666... | 0.97651 | [
0.5365173662016743,
-0.010392705179458783,
0.14595450260061896,
-0.6467977010980849,
-0.04572477997649201,
0.22486748544613663,
0.9655981185689596,
-0.032945729038126995,
0.08925635992743287,
0.5636070348901395,
-0.05586072342057791,
2.487041894648121,
0.23245963960757043,
-0.1559689800446... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -3.8833333333333337,
"target_ratio": 0.97,
"target_value": -3.7668333333333335
} | 15 |
875e5740880a0d262105a74a2ea75384 | 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": 6}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [120, 124], "expectation_value": -2.477966689320108, "params": [0.1165, 0.1406, 0.11420000000000001, 0.1403, 0.3995, 0.0021000000000000003, 0.4068, 0.0045000000000000005, 0.4048, -0.0008, 0.40040000000000003, -0.0004, 0.40340000000000004, -0.0005, 0.39790000000000003, -0.0028, 0.4081, -0.001, 0.3993000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(6) + 0.0 * Z(4) + -1.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(5) | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-3.007615962678993) q[0];
ry(0.28624120527541286) q[0];
rz(3.0621154022786206) q[0];
rz(-1.4893489070965713) q[1];
ry(0.1625953819011423) q[1];
rz(1.3261295824433823) q[1];
rz(1.1219107642954143) q[2];
ry(2.950057668001646) q[2];
rz(-2.5226021935634275) q[2];
rz(-1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIZIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IZIIZIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
0,
-1,
0,
0,
0
] | 0.976881 | [
-0.4157560978974147,
0.6703390573158567,
-0.0815668940428897,
0.16235563729156227,
1.4519298214979899,
-0.08282641735612561,
-0.05703407826440944,
0.017807649743418502,
1.6523143079982094,
0.06878847215448786,
-0.09787010853532936,
0.7944185879351064,
-0.10841121672533677,
0.08073690948304... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 25 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [1, 3], "expectation_value": -23.98075595248922, "params": [[[0.1826, 0.321], [0.6234000000000001, -0.0034000000000000002], [0.1716, 0.3239], [0.1761, -0.3221], [0.1752, -0.3236], [0.802, -0.002], [0.8014, 0.004200000000000001]], [[0.1787, 0.001], [0.6227, 0.0059], [0.1763, 0.0049], [0.1777, 0.00520000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
d92b7c12d97dc605feea13254bd8dff9 | 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": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [41, 9], "expectation_value": -1.5382930923808678, "params": [[-0.059300000000000005, -0.0656, -0.0438, -0.0666], [0.0606, 0.0721, 0.058300000000000005, 0.0634]], "bitstrings": ["1010110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.022173043793950166, 0.02226451888888236], "optimization_... | -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 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
0714803fc241e2360d666ed1e871e287 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 383], "expectation_value": -8.529774150965226, "params": [0.0037, 1.3506, 0.0037, 0.0076, 0.5131, 0.115, -0.6879000000000001, 0.0055000000000000005, 0.001, 1.038, 0.001, 0.0083, 0.7587, 0.1897, -0.6, 0.0007, 0.8723000000000001, 0.6621, -0.7554000000000001, 0.004200000000000001, -0.8383, 0.8202, 0.0551, 0... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14846640452963045) q[0];
rz(3.0061029413784865) q[0];
rx(-0.5708411447250665) q[1];
rz(2.0579878056276186) q[1];
rx(-0.1919544438207895) q[2];
rz(3.0189865220847594) q[2];
rx(-0.6879021959892385) q[3];
rz(2.5669911309546283) q[3];
rx(-0.6795280981274134) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956767 | [
0.14846640452963045,
1.4353066145835893,
-0.5708411447250665,
0.4871914788327228,
-0.19195444382078952,
1.4481901952898621,
-0.6879021959892386,
0.9961948041597318,
-0.6795280981274134,
1.0045006078794925,
-1.2197500639970589,
1.1562495736107823,
-1.1716393087263306,
1.0272924742532643,
... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
3991188741565982595 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 6, 7], [0, 4], [1, 6], [2, 6], [2, 5]]} | {"states": [29, 31], "expectation_value": -1.983272111857319, "params": null, "bitstrings": ["111100010", "111100000"], "total_optimization_steps": 80, "probabilities": [0.18230821727393756, 0.2861102864955857], "optimization_time": 148.17777276039124} | 0.08333333333333333 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["111000001", "111100000", "111000010", "011010010", "000011100", "011010001", "011110000", "100001100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.05758762645467799) q[0];
h q[1];
ry(-0.8191136163095406) q[1];
h q[2];
ry(-0.05758762645467799) q[2];
h q[3];
ry(-0.3111912690608954) q[3];
h q[4];
cx q[4], q[0];
ry(0.05758762645467799) q[0];
cx q[4], q[0];
ry(-0.5958913958302756) q[0];
ry(1.0292016830045... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIZIII",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIIZIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.971804 | [
-0.11517525290935599,
1.603118406172491,
-1.6382272326190812,
-0.5780342532611134,
1.2894922191721139,
0.003409437595524846,
-1.0248534292555411,
0.7907136144693151,
-0.44949641179670674,
0.47697613707040526,
-0.2927899680671375,
0.8637946623334978,
0.310450865309328,
-0.05561636306214143,... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 38 |
d8c959a00da600e8fbae4f9fb196848f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [344, 342], "expectation_value": -3.0089810935076535, "params": [[[0.4138, 0.0117, 0.0061, 0.0045000000000000005], [0.09920000000000001, -0.0246, 0.9914000000000001, 0.0453], [1.0014, -0.031100000000000003, 0.2417, 0.42660000000000003], [0.5905, 0.0862, 1.0022, -0.0453], [0.9455, 0.2861, 0.1471, -0.5698], [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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["010101001", "100101001", "110001001", "010011001", "001101001"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.1087166777863207) q[0];
rz(-0.892128208735353) q[0];
rx(-0.10555253505080193) q[1];
rz(-2.1505013782365814) q[1];
cx q[1], q[0];
rz(0.6073105656048865) q[0];
cx q[1], q[0];
rz(-0.29781569235553773) q[1];
rx(2.9616223761668268) q[2];
rz(-1.0732261310631799) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIIIZIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
... | 0.983245 | [
3.1087166777863207,
-0.28481764313046676,
-0.10555253505080193,
-2.1505013782365814,
2.9616223761668268,
-0.7288634899619624,
-0.10273246688609211,
-0.4938466676659305,
2.9359389274210392,
-1.2632034020581857,
-0.040063572556002694,
-0.6586718011990842,
3.185777050476411,
-0.72137408456910... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 30 |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [61, 60], "expectation_value": -9.12950611063679, "params": [[[-0.0021000000000000003, 2.7103], [-0.0023, 0.002], [-0.0033, -0.0027], [-0.0021000000000000003, -0.0033], [1.6415000000000002, 1.6420000000000001], [0.0023, -0.9623]]], "bitstrings": ["000010", "000011"], "total_optimization_steps": 330, "probabi... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1250101749676743) q[0];
h q[1];
ry(0.20959771976513494) q[1];
h q[2];
ry(1.7180141321038174) q[2];
h q[3];
cx q[3], q[1];
ry(-0.20959771976513494) q[1];
cx q[3], q[1];
cx q[1], q[0];
ry(-0.1250101749676743) q[0];
cx q[1], q[0];
ry(1.5837809674018735) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x3) q... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970501 | [
0.4191954395302699,
0.2500203499353486,
3.167561934803747,
0.39601762078621333,
3.4360282642076347,
-1.431777043166703,
-1.0726156679952932,
2.4472778962911232,
-1.7140095510696993,
-1.1779722872815033,
-0.19288942722124652,
-0.9021325308104403,
2.0540666932332177,
0.13607092260007048,
-... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 108 |
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": 30.14920663833618} | 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) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | 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]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
a90bff6c3a417e74e2fa1e262b24b3f8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [58, 42], "expectation_value": -3.104125055012852, "params": [-0.0031000000000000003, 0.3768, -0.0017000000000000001, 0.38370000000000004, 0.4746, 0.0777, 0.4778, 0.10070000000000001, 0.4102, 0.232, 0.3048, 0.2472, 0.4696, 0.1759, 0.4405, 0.22240000000000001, 0.00030000000000000003, 0.2866, 0.005800000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3)... | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101001", "1010101", "1100101", "1001101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.04045280184155131) q[0];
rz(0.35284833551246164) q[0];
rx(0.6800423104352322) q[1];
rz(0.1724260761568442) q[1];
cx q[1], q[0];
rz(0.08370754730778537) q[0];
cx q[1], q[0];
rz(-1.2349642635385665) q[0];
ry(0.14766913975145737) q[0];
rz(2.2199450057045684) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IIZIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIZZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.25,
0,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.976518 | [
0.04045280184155131,
0.43655588282024704,
0.6800423104352322,
0.1724260761568442,
0.5021650058220093,
0.4581258945893301,
0.7509600036017368,
0.1343410048462616,
0.2682866982145812,
0.27947313338427127,
0.5347990794540245,
0.03178389450383861,
-0.004626952685714808,
0.42768168383809035,
... | {
"n_parameters": 100,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 10], "expectation_value": -0.038393327863213526, "params": [[-0.050300000000000004], [0.0551]], "bitstrings": ["11100", "10101"], "total_optimization_steps": 10, "probabilities": [0.03246519148114615, 0.03247036056678639], "optimization_time": 2.0128681659698486} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -1.5166264610157691, "params": [[0.0641, 0.07100000000000001, 0.0631, 0.0758], [-0.054700000000000006, -0.0718, -0.057300000000000004, -0.0683]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.031322287806568025, 0.03502496875131039], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
3e42efb2707d5b93c2b859a7156ab33f | 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": [363, 357], "expectation_value": -68.80970520701644, "params": [[[1.0016, 0.5168], [-0.314, 0.5726], [1.0062, 0.6093000000000001], [0.5349, 0.9136000000000001], [0.7672, 0.756], [0.3819, 0.33080000000000004], [0.56, 0.9896], [0.2427, 0.8132], [0.035, 1.0062], [0.25730000000000003, 0.9393], [-0.5544, 0.619300... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(4)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(9) @ Z(10)) + 23.5 * Z(2) + -2.5 * Z(1) + 24... | 15 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 182.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.646388223218505) q[0];
ry(0.1096548761338268) q[1];
ry(1.6672407285599102) q[2];
ry(0.05673374383846133) q[3];
ry(1.0048968668728446) q[4];
ry(0.14864848736107633) q[5];
ry(-0.04398121922561655) q[6];
ry(-0.04183325487181419) q[7];
ry(0.0442365538187638) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23.5,
-2.5,
24,
3.5,
8,
16,
6.5,
-5.5,
-4,
21,
-5.5
] | 0.975398 | [
1.646388223218505,
0.1096548761338268,
1.6672407285599102,
0.05673374383846133,
1.0048968668728446,
0.14864848736107633,
-0.04398121922561655,
-0.04183325487181419,
0.0442365538187638,
-0.025720914053192753,
0.07618507167920444,
0.459297015120329,
0.46886179503163306,
0.5335843539149727,
... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 79 |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.291557756705213, "params": [0.0017000000000000001, 0.0064, 0.0023, 0.0027, 0.0022, 0.0086, 0.0023, 0.003, 0.0026000000000000003, 0.0002, 0.0024000000000000002, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 0.0026000000000000003, 0.0091, 1.5985, 0.0097, 0.0069000000000... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
1d90f6c59bdc244a93b2d39d285f8ffc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [198, 214], "expectation_value": -37.86921302769991, "params": null, "bitstrings": ["100111001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.08535207575818739, 0.2148585023501647], "optimization_time": 147.94011187553406} | 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(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 137.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.11384371007113302) q[0];
ry(-1.5125674315360826) q[1];
rz(-pi) q[1];
h q[2];
ry(39.261971138219806) q[2];
cx q[2], q[1];
ry(17.744125257816545) q[1];
cx q[2], q[1];
ry(30.486063684922097) q[1];
ry(-2.505625950584892) q[3];
rz(-pi) q[3];
ry(-1.3245485124425... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
1.5,
14,
0.5,
9,
6,
12.5,
11,
3.5
] | 0.97089 | [
11.402711055378145,
39.261971138219806,
-35.48825051563309,
38.13236552321641,
17.063468629428158,
-29.951360821150377,
60.972127369844195,
4.328633652998325,
9.495316205427365,
0.5248788916778353,
0.8199014642243193,
0.2660278038391247,
-0.22768742014226603,
-4.813853568709097,
-0.06522... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 178 |
bba2e06053fa3c8a9a710a4bd3703eb1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [48, 51], "expectation_value": -5.499934084013951, "params": null, "bitstrings": ["1001111", "1001100"], "total_optimization_steps": 33, "probabilities": [1.3834661288391691e-05, 0.9999481826822721], "optimization_time": 39.93609952926636} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.20114804250361765) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.20114804250361765) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.5448829019394585) q[1];
rx(-1.4659658311578172) q[1];
rz(0.20114804250361765) q[4];
cx q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.865455 | [
0.20114804250361765,
0.5448829019394584,
-1.032970517939543,
0.4736712255784174,
1.0508280684852456,
-1.4659658311578172,
0.5456458777217237,
-0.10953584608557748,
-0.37646442800846214,
-0.13348686815000904,
-1.0425535039283687,
0.39545867198032075,
1.1703587779377986,
-1.9860700753402072,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 439 |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -13.722012818568707, "params": [[[0.2561, 0.1874], [0.2325, 0.186], [0.2667, 0.189], [0.2619, -0.1874], [0.2227, 0.18630000000000002], [0.5941000000000001, 0.0016], [0.5903, 0.0022], [0.5957, 0.0008]], [[0.2579, 0.1874], [0.2295, 0.186], [0.26580000000000004, -0.1889], [0.2665, -... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [37, 10], "expectation_value": -0.5153236938272503, "params": [[-0.0337, -0.0745], [0.0268, 0.06570000000000001]], "bitstrings": ["011010", "110101"], "total_optimization_steps": 10, "probabilities": [0.018575683101428618, 0.01880754825854325], "optimization_time": 2.917782783508301} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | OPENQASM 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -13.922175743081603, "params": [0.0, -0.2146, 0.0024000000000000002, -0.2066, -0.0015, -0.217, -0.0038, -0.22060000000000002, -0.0067, -0.1502, -0.0019, -0.19640000000000002, -0.0039000000000000003, -0.21580000000000002, -0.0031000000000000003, -0.21280000000000002, -0.0025, -0.2... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 5 | 9 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7576989536039568) q[0];
ry(-0.02769920467597297) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.9709349169544848) q[2];
h q[3];
ry(-1.5153979072079136) q[3];
ry(-1.570792075828601) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5153979072079136) q[5];
h q[6];
ry(-1.5153979072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIZIIZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIZIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZZII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.25,
-1.25,
-0.5,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.5,
-1.5,
-0.25,
0.5,
-1,
0.75,
0.5,
1.25,
-1.5,
1.25
] | 0.955061 | [
-1.5153979072079136,
1.5707962630942358,
-0.8130973016131445,
-3.5126661492229454,
1.5707877049182808,
-3.141583911769153,
1.9418698109471277,
-0.05539842982202022,
-2.0157038444357187e-7,
1.941869868714013
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 401 |
1112b0dec061057078ea030647c16ef8 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [98, 114], "expectation_value": -4.521852913386326, "params": [-0.0026000000000000003, 0.0091, 0.0039000000000000003, 0.0026000000000000003, 1.6135000000000002, 0.0037, 1.6047, 0.0034000000000000002, 1.6019, 0.0031000000000000003, 1.4393, 0.0022, -0.0012000000000000001, 0.0007, 1.6085, 0.0058000000000000005,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110100101", "110001101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07425063387765303) q[0];
rz(1.3016067800779432) q[0];
rx(-0.0897821853213246) q[1];
rz(-0.666489239861054) q[1];
rx(2.771088819972935) q[2];
rz(-1.0207937373811111) q[2];
rx(2.5933132001296073) q[3];
rz(0.8226061812679188) q[3];
rx(-2.8579314121848975) q[4];
rz(-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": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.970064 | [
0.07425063387765304,
1.175887923520967,
-0.08978218532132462,
-0.8474055581615265,
2.771088819972935,
-0.5356513608349681,
2.5933132001296073,
0.6701877328380004,
3.4252538949946887,
-0.735745532473938,
0.46968535223675095,
-0.6282469174265553,
-0.036986407348926824,
-0.4956243590057093,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
ae38f088eb7d13f4a1aaeed7b82ca76a | 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": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 26.3904550075531} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | 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(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
142702368439992266 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 4], [1, 2, 3, 6], [1, 2, 4], [0, 2, 5], [1, 3, 4, 6]]} | {"states": [120, 93], "expectation_value": -0.6006931764611878, "params": [[-0.3335], [0.32580000000000003]], "bitstrings": ["0000111", "0100010"], "total_optimization_steps": 40, "probabilities": [0.01530993587720488, 0.01560832164496409], "optimization_time": 2.317058801651001} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666663, "smallest_bitstrings": ["0100010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03192041506672621) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.00027701640268372273) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.7515627902070191) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.03192041506... | 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIZIIII",
"ZIIIZII",
"ZIIZIII",
"IZIIIIZ",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.1666666... | 0.800877 | [
0.03192041506672621,
-0.00027701640268372273,
-0.7515627902070191,
0.0013650113221902148,
1.578502836840913,
-1.5694406629710211,
-1.5717105797761712,
1.5911807605048078
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 214 |
-8132906901157302131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3, 4, 6], [0, 1, 3, 4], [0, 1, 6, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6], [1, 3, 4, 5, 7]]} | {"states": [219, 187], "expectation_value": -0.9204147294012508, "params": [0.9973000000000001, 0.0037, 0.9912000000000001, 0.004200000000000001, 0.9907, 0.0032, 0.9879, 0.009600000000000001, 0.9926, -0.0036000000000000003, 0.9887, 0.0019, 0.995, -0.0029000000000000002, 0.992, 0.0095, 1.0027000000000001, 0.0004, 0.9976... | 0.05 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.1333333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.5500000000000003, -1.5500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5499999999999998, "smallest_bitstrings": ["00001001", "01000100"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.841236941922257) q[0];
rz(1.555049578035808) q[0];
rx(0.1684535354440778) q[1];
rz(1.5462457553574884) q[1];
rx(1.7717639242492171) q[2];
rz(1.1716261437720998) q[2];
rx(1.1571066255132134) q[3];
rz(1.5710867017296097) q[3];
rx(1.4051744202532515) q[4];
rz(1.327658... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IZIIIZII",
"IZIIIII... | [
0.05,
0.15000000000000002,
0.13333333333333333,
0.1,
0.05,
0.15000000000000002,
0.13333333333333333,
0.13333333333333333,
0.1,
0.1,
0.13333333333333333,
0.16666666666666666,
0.18333333333333335,
0.05,
0.21666666666666667,
0.1,
0.08333333333333333,
0.23333333333333334,
0.1,
0.05... | 0.971089 | [
1.841236941922257,
-0.01574674875908816,
0.16845353544407782,
-0.024550571437407784,
1.7717639242492174,
-0.3991701830227972,
1.1571066255132134,
0.00029037493471313625,
1.4051744202532515,
-0.24313769848856215,
0.17462845700279217,
0.056856428777628074,
1.3226532111278149,
0.1739927931494... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.5500000000000003,
"target_ratio": 0.97,
"target_value": -1.5035000000000003
} | 83 |
b0b269dd9f10ed56ad7d2febbade41b5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "... | {"states": [127, 3199], "expectation_value": -1.437135183897622, "params": [[0.07680000000000001], [-0.068]], "bitstrings": ["111110000000", "001110000000"], "total_optimization_steps": 10, "probabilities": [0.0004805778000222629, 0.0004999364128317257], "optimization_time": 2.4049460887908936} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["001110000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02686158777385738) q[0];
ry(0.026951724867742537) q[1];
ry(0.0451587018657913) q[2];
ry(-1.5746105518773907) q[3];
ry(-0.03177766023308293) q[4];
ry(0.03790452169946788) q[5];
ry(0.0451587018657913) q[6];
ry(0.0451587018657913) q[7];
ry(0.0068574349042046035) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973215 | [
-0.02686158777385738,
0.026951724867742537,
0.0451587018657913,
-1.5746105518773907,
-0.03177766023308293,
0.03790452169946788,
0.0068574349042046035,
0.11446647133753912,
0.07282317780430968,
3.070976674549378,
-0.09889968496646959,
0.03901715882581974,
0.018224800215944012,
-0.0068701009... | {
"n_parameters": 15,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 2 |
b6970197be7c727980a1d311f0e08f0f | 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": [615, 613], "expectation_value": -106.1970860804762, "params": [-0.0006000000000000001, 0.5115000000000001, 0.7895000000000001, 0.0521, 0.0119, 0.4157, 0.0021000000000000003, 0.599, 0.7923, 0.016900000000000002, 0.7913, -0.0066, 0.1592, 0.43210000000000004, -0.0023, 0.4753, 0.7842, 0.0234, 0.3422, 0.2718, 0.... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 9.5 * Z(1) + -4.5 * Z(0) + 0.5 * Z(2) + 3.0 * Z(6) + 7.0 * Z(5) + 15.5 * Z(... | 16 | 11 | 4 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10110011010"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03031226230597715) q[0];
rz(0.4145338457521013) q[0];
rx(0.8423459383052228) q[1];
rz(-0.05789482045939201) q[1];
cx q[1], q[0];
rz(-0.0996339067519188) q[0];
cx q[1], q[0];
rx(-0.16074421746499098) q[0];
rz(0.6842575775365489) q[0];
rz(-0.19904797125144827) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
-4.5,
0.5,
3,
7,
15.5,
14,
-4.5,
11.5,
13.5,
-11
] | 0.97101 | [
0.030312262305977153,
0.31489993900018254,
0.8423459383052228,
-0.05789482045939201,
-0.06578452590469844,
0.6013482951894659,
-0.1058887386597899,
0.46557744122690353,
0.5634179228502969,
-0.005932185060056987,
0.7917620618668566,
0.04026972582156284,
-0.11082922673172328,
0.4379504651097... | {
"n_parameters": 120,
"n_qubits": 11,
"optimal_eigenvalue": -113.5,
"target_ratio": 0.97,
"target_value": -110.095
} | 10 |
7c7664cb9cb13a35da50c3201e32fb16 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [82, 210], "expectation_value": -2.3552139923474043, "params": [[0.9937, 0.9948, -0.0546, 0.9931000000000001, 0.0241, -0.0385, 0.9975, 0.1691], [0.2715, 0.5739000000000001, 0.0135, 0.9917, 0.7908000000000001, 0.011300000000000001, 1.0049000000000001, 0.2437], [1.002, 0.9948, 0.197, 0.9907, 0.384, 0.0275, 0.9... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00110101", "10010011", "00101110", "10001110", "01001110", "10110001", "00101101", "11001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIIIIZ",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIZIZI",
"IZIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.25,
0,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
9c501688ace9c1c29c4f2331e1f6f6c1 | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -16.416782651358023, "params": [-0.0037, 0.4685, -0.0008, 0.0524, 0.0027, 0.5972000000000001, 0.0023, 0.5984, 0.0021000000000000003, 0.3533, 0.0026000000000000003, 0.5904, 0.0027, -0.5798, 0.0023, 0.5984, 0.8012, -0.0002, -0.0035, 0.0044, 0.0064, 0.0092, 0.0027, 0.003900000000000... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 3 | 9 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15648792005638765) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.4647368427952263) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.18625347550684976) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.4647368427952263) q[4];
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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"... | [
-1,
-0.25,
-0.5,
-0.25,
-2,
-1.25,
-0.5,
-1.25,
-1.5,
-1.25,
-1,
3.25,
-0.5,
-1.25,
-0.5,
-1.25,
-0.75,
-0.5,
-0.25,
-0.75,
-2,
0.75,
1.5,
2.25,
1,
-2
] | 0.543699 | [
-0.15648792005638765,
-0.4647368427952263,
-0.18625347550684976,
-1.227897821964101,
-0.36785183491168383,
-0.9027637837092546,
0.3660399390232344,
-0.5488324115223138,
-0.1907072725041052,
0.10396060371422793,
1.4146338051691747,
-0.36073297402333415,
-1.1317389430859743
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 297 |
7634164182619522537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [11, 14], "expectation_value": -1.86625471337203, "params": null, "bitstrings": ["10100", "10001"], "total_optimization_steps": 25, "probabilities": [0.0610543214018561, 0.8721128027723853], "optimization_time": 11.109681129455566} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "01110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.21768336944744873) q[0];
h q[1];
ry(1.3283142262663603) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.21768336944744873) q[0];
cx q[3], q[0];
ry(-0.28566401590303003) q[0];
cx q[1], q[0];
ry(0.28566401590303003) q[0];
cx q[1], q[0];
ry(-0.592827731752228) q[0]... | 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];\ncry(-1.0342) q[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIZI",
"IIIZZ",
"ZIZII",
"IZIIZ",
"ZIIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974217 | [
-0.43536673889489746,
1.3283142262663603,
-0.5713280318060601,
1.1586620416105764,
-0.5046676168355315,
0.3817632721966262,
0.09249684674156028,
-0.14908482323052727,
-0.17632022983339288,
0.1366962421065162,
-0.009180707215376699,
-0.13077377522543812,
0.2855751664562418,
0.02749516560915... | {
"n_parameters": 16,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 6 |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -1.425522765933976, "params": [[-0.0687, -0.0609, -0.0651], [0.0779, 0.0712, 0.0698]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.021222103863904666, 0.022430092555670654], "optimization_time": 3.9148874282836914} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
-7617992486514997469 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 6], [3, 6], [2, 4], [4, 5], [1, 7], [1, 3], [1, 6], [2, 6], [3, 5], [0, 6], [2, 3], [2, 7], [5, 6], [3, 7], [5, 7]]} | {"states": [108, 228], "expectation_value": -4.155521050232733, "params": null, "bitstrings": ["10010011", "00011011"], "total_optimization_steps": 68, "probabilities": [0.10100550467402898, 0.7439678933924949], "optimization_time": 94.51932144165039} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00011011", "11100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.469963770821216) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.469963770821216) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.469963770821216) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[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] = me... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IIIZIZII",
"IZIIIZII",
"IIIIZZII",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IZIIIIZI",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.365727 | [
-0.469963770821216,
1.6595369773453014e-8,
0.6322710781229514
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 96 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -17.9061474338911, "params": [[-0.0395, -0.019, 0.021, 0.0712], [0.060200000000000004, 0.057300000000000004, 0.0235, -0.0414]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015140512636386069, 0.016567839066393707], "optimization... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 116.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
5.5,
9.5,
17.5,
7.5,
4.5,
13,
8
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
839e49943c280a605024f1eaa388ffdd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 8.74994421005249} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
e2d42d54466cad0e47a576fec07e2be9 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [84, 86], "expectation_value": -2.9126400442203426, "params": [[[0.5925, 0.0014, 0.0033, 0.001], [0.5862, 0.0024000000000000002, 0.43670000000000003, 0.0049], [-0.0023, 0.6725, 0.0097, 0.6689], [0.5226000000000001, 0.0071, 0.5214, 0.0041], [0.003, 0.19740000000000002, 0.0005, 0.193], [0.0913, 0.0168000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(3) ... | 12 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10101001", "10100110", "01100110", "01101001", "01100011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIIZZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIZZZIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.25,
-0.125,
-0.75,
0.125,
-0.125,
-0.125,
-0.5,
-0.5
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
e0e7442cfd5f4a9b9e7fac5624eafbe7 | 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": [2594, 2595], "expectation_value": -98.52646537263409, "params": [[1.5878, 0.0018000000000000002, 1.6041, 0.5876, 0.0024000000000000002, 1.3648, 1.5927, 0.0027, -0.0018000000000000002, 0.0434, 1.5869, 0.1811], [1.5867, -0.0018000000000000002, 1.4017000000000002, 0.4198, 0.0019, 0.7789, 0.8058000000000001, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(4) @ Z(11)) + -6.5 * Z(1) + 7.0 * Z(0) + 5.5 * Z(2) + 3.5 * Z(3) + 5.0 * Z(5) + 1.0 * Z(6) + -7.0 * Z(8) + 1... | 10 | 12 | 1 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["010111011100"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6628676551738433) q[0];
ry(-0.1997490835406317) q[1];
ry(1.8490598670289216) q[2];
ry(0.10386550899819519) q[3];
ry(0.07004704259347458) q[4];
ry(1.1208615553458785) q[5];
ry(2.333648428626797) q[6];
ry(-0.0647141442712596) q[7];
ry(-0.0043551728832047845) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"IIIIIZZIIIII",
"IIIZIIIIIIIZ",
"IZIIIIIIZIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIZIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6.5,
7,
5.5,
3.5,
5,
1,
-7,
15,
1,
14.5,
-6.5,
-11
] | 0.973467 | [
1.6628676551738433,
-0.1997490835406317,
1.8490598670289216,
0.10386550899819519,
0.07004704259347458,
1.1208615553458785,
2.333648428626797,
-0.0647141442712596,
-0.0043551728832047845,
0.05222029367368837,
1.7650230413106838,
0.07495314357748387,
1.4620565254062143,
1.1656570897850826,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -128.5,
"target_ratio": 0.97,
"target_value": -124.645
} | 23 |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [3, 20], "expectation_value": -0.06379386004375348, "params": [[0.0635], [-0.06810000000000001]], "bitstrings": ["11100", "01011"], "total_optimization_steps": 10, "probabilities": [0.0331458441596624, 0.0331458441596624], "optimization_time": 0.8264691829681396} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 180.6212034225464} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
5675e3d1d23688cedf58afc21ee4a6b6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [383, 1023], "expectation_value": -0.611514533024838, "params": [[0.056900000000000006], [-0.049300000000000004]], "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0013036908409190904, 0.0013036908409190914], "optimization_time": 1.8647499084472656} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.36723293102627264) q[0];
rz(1.8336662116647275) q[0];
rx(2.322337287915746) q[1];
rz(-1.5824744389844776) q[1];
rx(-0.06990651643525302) q[2];
rz(-3.1066738827455334) q[2];
rx(-3.138679370015078) q[3];
rz(2.971693771251063) q[3];
rx(-0.39217119453756505) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973578 | [
-0.3672329310262726,
0.26286988486983043,
2.3223372879157456,
3.129914541400212,
-0.069906516435253,
1.6057150976391568,
-3.138679370015078,
1.4008974444561666,
-0.3921711945375651,
0.1860218471257741,
0.6039060435257514,
0.233178014561896,
0.40213824820907296,
0.14730470988870933,
0.626... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 192 |
-5534787900246124345 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 6], [1, 4, 5], [0, 3], [2, 6]]} | {"states": [15, 71], "expectation_value": -0.03573062655663699, "params": [[-0.0753], [0.0699]], "bitstrings": ["1110000", "0111000"], "total_optimization_steps": 10, "probabilities": [0.00831053457888284, 0.00831053457888284], "optimization_time": 1.3143970966339111} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.3333333333333333 * Z(4) + 0.3333333333333333 * Z(1) + 0.16666666666666663 * Z(6) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["1110000", "0011100", "0111000", "1010100"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.5480808438198137) q[0];
cx q[3], q[0];
rz(0.03714039219085841) q[0];
rx(0.7964956431126665) q[0];
rz(0.03714039219085841) q[3];
rx(0.7964956431126665) q[3];
h q[4];
cx q[4], q[1];
rz(-0.6436400004810838) q[1];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[6];
rz(x1) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"ZIZIIII",
"ZIIIIZI",
"IZZIIII",
"IZIIIZI",
"IIIZIIZ",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.815809 | [
-0.6436400004810838,
-0.19129919581922267,
-1.5480808438198137,
0.03714039219085835,
0.7964956431126664
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 151 |
-2185498323846699228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 11, 5, 7], [0, 8, 2, 3], [4, 12, 6], [9, 4, 7], [0, 2, 6, 7], [8, 12], [0, 6, 8, 10, 11], [0, 1, 7, 9, 11], [2, 6, 8, 9, 10], [1, 2, 4, 8, 11], [12, 7], [0, 1, 3, 6, 11], [10, 3, 4], [0, 1, 6, 7, 9], [10, 4, 5, 7], [0, 2, 4], [11, 4, 5, 6], [9, 12... | {"states": [4602, 4478], "expectation_value": -6.329811120524215, "params": null, "bitstrings": ["0111000000101", "0111010000001"], "total_optimization_steps": 100, "probabilities": [0.03827202771962079, 0.7960858100152304], "optimization_time": 1835.2615945339203} | 0.13333333333333333 * (Z(9) @ Z(11)) + 0.21666666666666667 * (Z(5) @ Z(11)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.13333333333333333 * (Z(7) @ Z(11)) + 0.35 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.2 * (Z(0) @ Z(11)) + 0.15000000000000002 * (Z(0) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.183... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.733333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.316666666666667, "smallest_bitstrings": ["0111010000001"], "largest_eigenvalue": 23.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(1.558698881236246) q[0];
h q[1];
ry(-0.6824365437115796) q[1];
h q[2];
ry(-0.698325790716923) q[2];
h q[3];
ry(-0.6009584713817304) q[3];
h q[4];
ry(1.5330725479850527) q[4];
h q[5];
ry(-0.3298724009872104) q[5];
h q[6];
ry(0.6859540186343833) q[6];
cx q[0],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(1.5707) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IZIZIIIIIIIII",
"IZIIIIIZIIIII",
"IIIZIIIZIIIII",
"IZIIIZIIIIIII",
"IIIZIZIIIIIII",
"IIIIIZIZIIIII",
"IZIIIIIIIIIIZ",
"IIIZIIIIIIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIZIIIIIIZ",
"IZIIZIIIIIIII",
"IIIZZIIIIIIII",
"IIIIZIIZIIIII",
"IIIIZIIIIIIIZ",
"IZIIIIIIIIZII",
"IIIZIIIIIIZII",
"IIIIIZIIIIZ... | [
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.13333333333333333,
0.35,
0.16666666666666666,
0.2,
0.15000000000000002,
0.21666666666666667,
0.18333333333333335,
0.1,
0.05,
0.16666666666666666,
0.3,
0.05,
0.05,
0.08333333333333333,
0.3333333333333333,
0.183333333... | 0.971658 | [
1.5330725479850527,
1.558698881236246,
1.3719080372687666,
-0.6776562690741562,
1.389319615362354,
-0.7385912691082293,
1.6761337706826802,
1.079492215014683,
-1.396651581433846,
-0.6597448019744208,
0.6948603905284805,
-0.5095036257275979,
-1.3648730874231592,
0.9007067349778684,
-0.349... | {
"n_parameters": 57,
"n_qubits": 13,
"optimal_eigenvalue": -6.733333333333332,
"target_ratio": 0.97,
"target_value": -6.531333333333332
} | 14 |
dd2cbc0832de721030b1d6a15eb211d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.127111689441534, "params": [[[0.0083, -0.0024000000000000002], [0.0014, 0.0022], [0.8664000000000001, 0.0044], [0.016, -0.0033], [0.0032, 0.0022], [0.0092, 0.0024000000000000002], [0.0123, 0.0021000000000000003], [0.0086, 0.0022], [0.0001, 0.0022], [-0.0027, -0.0019], [... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.05386807332732299) q[0];
ry(-0.3246551364020594) q[1];
ry(0.8830480899476494) q[2];
ry(0.08760343196632353) q[3];
ry(0.07441336486188768) q[4];
ry(0.11060215143588531) q[5];
ry(0.06235730966129646) q[6];
ry(0.10877929249539542) q[7];
ry(0.04935492130788273) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IZIIIIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"ZZIIIIIII... | [
-0.75,
-0.75,
-1.75,
-0.5,
-1,
-3.5,
-1.25,
-1,
-1.5,
-1.5,
-1.75,
-1,
-2.75,
-2.25,
-0.5,
-0.5,
-3,
-1.5,
-0.25,
-0.5,
-1.5,
-1.75,
-0.75,
-1.75,
-1,
-2.25,
-1.5,
1.75,
-1.75,
3.75,
-0.25,
-4.5,
2.25,
1,
-1.25,
1.25,
-4,
-0.75,
3.25,
0.7... | 0.970167 | [
0.05386807332732299,
-0.3246551364020594,
0.8830480899476494,
0.08760343196632353,
0.07441336486188768,
0.11060215143588531,
0.06235730966129646,
0.10877929249539542,
0.04935492130788273,
0.017738188681482046,
-0.031428228272181044,
3.2522352081783255,
-0.0036882605119728483,
-0.0541119684... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 14 |
7227055949868351043 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [38, 102], "expectation_value": -1.0319808056597426, "params": [[[1.6517000000000002, 0.0064], [3.1445000000000003, 0.0031000000000000003], [0.4403, 0.0007], [0.0021000000000000003, 0.0038], [3.1446, 0.009300000000000001], [3.1398, 0.005], [0.3195, 0.0082]]], "bitstrings": ["1011001", "0011001"], "total_opti... | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.40568572316097656) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(0.40568572316097656) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.4056857231609765) q[5];
rx(-0.8871371794063584) q[5];
rz(0.405685723160976... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIZIIIZ",
"IIZIIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.29166666666666663,
0.16666666666666666,
0.125,
0.125,
0.125,
0
] | 0.798099 | [
0.40568572316097656,
0.13947135741043304,
1.5517912942330574,
1.0136987880377217,
0.7217336232867775,
-0.6671797520250718,
-0.8871371794063584
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 178 |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [1, 5], "expectation_value": -5.441430112294741, "params": [[[0.0021000000000000003, 0.4888], [0.0005, 0.6006], [-0.0029000000000000002, 0.6331], [-0.4949, 0.0029000000000000002], [-0.0001, 0.6664], [0.7844, 0.0012000000000000001]], [[0.006200000000000001, 0.5854], [-0.0044, 0.6751], [-0.0047, 0.5958], [-0.4... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
1305504633744829616 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 3], [2, 3]]} | {"states": [5, 10], "expectation_value": -0.04124469949185941, "params": [[-0.0874], [0.08030000000000001]], "bitstrings": ["1010", "0101"], "total_optimization_steps": 10, "probabilities": [0.06772726965920851, 0.06772726965920851], "optimization_time": 0.7165324687957764} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9359294749065803) q[0];
cx q[1], q[0];
rz(3.099626866287508e-08) q[1];
rx(pi/4) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.9359294749065803) q[3];
cx q[0], q[3];
rz(3.099626866287508e-08) q[0];
rx(pi/4) q[0];
cx q[3], q[2];
rz(-0.935... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[3];
... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.586724 | [
-0.9359294749065803,
3.099626850791655e-8,
0.7853981637139655
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 98 |
a7fe9655fedac9f37abdc7d4a012da3d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [490, 234], "expectation_value": -73.01116275967398, "params": [0.19190000000000002, 0.0742, 0.18530000000000002, 0.0695, 0.39280000000000004, -0.0031000000000000003, 0.3916, -0.0037, 0.37520000000000003, 0.0587, 0.3755, 0.059000000000000004, 0.38830000000000003, 0.0014, 0.3881, 0.008400000000000001, 0.1627,... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 15.5 * Z(2) + 12.5 * Z(1) + 19.5 * Z(5) + ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.2790384476836998) q[0];
ry(3.0002491490684897) q[0];
rz(-2.031654340180219) q[0];
rz(1.490504217951405) q[1];
ry(0.10138309172821829) q[1];
rz(-1.9026069027207688) q[1];
rz(-2.8016043199304006) q[2];
ry(2.860913433082975) q[2];
rz(0.27275306655222664) q[2];
rz(-0.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10,
15.5,
12.5,
19.5,
15,
4,
0.5,
13.5,
-8.5
] | 0.97645 | [
1.2301513440425897,
-0.021793986393531223,
0.08711383020311662,
-0.11369424043079654,
1.1704140022789695,
0.15212594734457377,
-0.06736676122343682,
-0.8290514795560854,
-0.10888137604159033,
-0.21619727330157346,
0.8132006335726836,
0.07917705693021121,
0.9259403780693289,
0.1231523904464... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 25 |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -0.3747607135025806, "params": [[0.0415, 0.0444, 0.0545, 0.0756], [-0.043500000000000004, -0.0346, -0.0344, -0.052000000000000005]], "bitstrings": ["011100", "010101"], "total_optimization_steps": 10, "probabilities": [0.02250605530752914, 0.02250605530752914], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
240b510bfe77c5e3336f7e5d9b59c15c | 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": 9}, {"source": 4, "target": 5},... | {"states": [0, 1792], "expectation_value": -38.91363433326314, "params": [-0.0028, 0.6751, -0.9875, 0.0029000000000000002, 1.4955, -0.0028, -0.4884, 0.0006000000000000001, -0.0025, 0.0043, -0.0024000000000000002, 0.0057, 0.0024000000000000002, 0.0077, -0.0024000000000000002, 0.0055000000000000005, -0.002400000000000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 4 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.11298371760739895) q[0];
rz(2.1308247945301666) q[0];
rx(-1.0959930436633436) q[1];
rz(1.2542290970679808) q[1];
rx(1.8089390536199348) q[2];
rz(1.4578126091874974) q[2];
rx(-0.4808982960156868) q[3];
rz(1.9236401387898638) q[3];
rx(0.02092150305514334) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"IIZIZIIIIII",
"IZIIIZIII... | [
-1.5,
0.5,
-1.5,
0.5,
-2.5,
-3.5,
-3,
1,
-3,
-3,
1,
1,
1,
0.5,
1,
-4,
-3.5,
-3,
1,
0.5,
1,
-4,
-3.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-2,
1,
2,
1.5,
1.5,
-3.5,
-3.5
] | 0.97008 | [
-0.11298371760739895,
0.5600284677352704,
-1.0959930436633436,
-0.3165672297269168,
1.8089390536199348,
-0.48089829601568673,
0.35284381199496845,
0.020921503055143342,
0.07189399056380955,
-0.009901088009585213,
-0.0003831305348618863,
0.06461911768407497,
0.048728852687442384,
0.12819816... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 5 |
-1696107289425258244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 6, 7], [0, 1, 5], [8, 9, 4, 5], [0, 8], [9, 10], [1, 2, 4, 7, 10], [1, 4, 7, 8, 9], [8, 5, 7], [1, 4, 5, 7], [8, 2], [1, 3, 4, 6], [9, 2], [8, 1, 3], [1, 10, 3, 5], [0, 2, 3, 4, 7], [1, 3, 6, 7, 9], [0, 3, 4, 5, 9], [8, 10]]} | {"states": [1530, 1532], "expectation_value": -3.054501687553863, "params": [[[1.5732000000000002, 1.5726], [1.5673000000000001, 1.5676], [-1.5729, 1.5688], [0.42760000000000004, 1.5677], [1.194, 1.1188], [1.2868000000000002, 1.4557], [1.5626, 1.5173], [-1.5704, 1.3888], [1.5733000000000001, -0.0238], [1.5677, -1.2334]... | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.4333333333333333 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.2833333333333333 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(0)) + 0.15000000000000002 * (Z(8) @ Z(4)) + 0.1 * (Z(8)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-4.8833333333333355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.750000000000001, "smallest_bitstrings": ["01000000011"], "largest_eigenvalue": 15.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4591855719747227) q[0];
ry(1.701593229342592) q[1];
ry(-1.55876548872922) q[2];
ry(1.5305106527422632) q[3];
ry(1.6002594359607967) q[4];
ry(1.5488658754752187) q[5];
ry(1.5560095191747576) q[6];
ry(-1.597506983373064) q[7];
ry(1.5924574956855204) q[8];
ry(1.56862... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZIIZIIII... | [
0.21666666666666667,
0.4333333333333333,
0.15000000000000002,
0.18333333333333335,
0.05,
0.18333333333333335,
0.2833333333333333,
0.1,
0.15000000000000002,
0.1,
0.3333333333333333,
0.21666666666666667,
0.13333333333333333,
0.25,
0.21666666666666667,
0.5,
0.16666666666666666,
0.2166... | 0.978854 | [
1.4591855719747227,
1.701593229342592,
-1.55876548872922,
1.5305106527422632,
1.6002594359607967,
1.5488658754752187,
1.5560095191747576,
-1.597506983373064,
1.5924574956855204,
1.5686223643224986,
1.4916774724086124,
1.5448379057858395,
1.6741291616076157,
1.5922691090755248,
1.55642325... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -4.8833333333333355,
"target_ratio": 0.97,
"target_value": -4.736833333333335
} | 40 |
5575b19e97d5a5b0b45755000e82f544 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [119, 115], "expectation_value": -6.528284235586142, "params": [[-0.15410000000000001, -0.135], [0.1691, 0.1562]], "bitstrings": ["110001000", "110001100"], "total_optimization_steps": 20, "probabilities": [0.0246784119661326, 0.029416884634732434], "optimization_time": 4.976762771606445} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001100", "110001000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.560634012014881) q[0];
h q[1];
ry(-1.7818099631713982) q[1];
h q[2];
ry(1.587798887121975) q[2];
h q[3];
ry(0.7777315728674038) q[3];
h q[4];
ry(1.5554631457348076) q[4];
cx q[4], q[3];
ry(-0.7777315728674038) q[3];
cx q[4], q[3];
h q[5];
ry(-1.78180996317... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
1.5,
-0.5,
-1,
-0.75,
-1.25,
-0.25,
0.5,
-2.75,
0,
1,
1.5,
2,
-0.75
] | 0.971696 | [
-1.7818099631713982,
1.5554631457348076,
-1.121268024029762,
0.9931676756380406,
-0.755965766479885,
1.587798887121975,
1.683067034217062,
0.4404709774126895,
-0.17300126679497613,
0.20768426428671805,
0.6997905193865639,
0.4719656890649042,
-0.055505934170919854,
0.17107727775494777,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 5 |
9eabaceaa8bd7beab03a3e1ddd6db75b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [23, 342], "expectation_value": -29.375901173425188, "params": [[[1.5834000000000001, 0.8684000000000001], [0.9189, 0.3261], [1.6016000000000001, 0.5718], [0.019100000000000002, 0.7865000000000001], [1.5879, 1.5876000000000001], [1.5885, 1.5872000000000002], [1.5872000000000002, 1.5816000000000001], [1.58110... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 4.0 * Z(1) + 8.5 * Z(2) + 5.5 * Z(0) + -2.0 * Z(3) + 7.5 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 5.0 * Z(8) + 1.0 * Z(7) | 15 | 9 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["010101001"], "largest_eigenvalue": 94.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5707963102195275) q[0];
ry(1.5699459347951386e-07) q[1];
ry(3.141592784725103) q[2];
ry(1.0102989494457035) q[3];
ry(pi/2) q[4];
ry(1.5707962986538544) q[5];
ry(1.5707963347942606) q[6];
ry(1.5707963179437425) q[7];
ry(1.5707963256149995) q[8];
cx q[8], q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
4,
8.5,
5.5,
-2,
7.5,
1,
7.5,
5,
1
] | 0.773437 | [
1.5707963102195275,
1.5699459347951386e-7,
3.141592784725103,
1.0102989494457035,
1.57079632643221,
1.5707962986538544,
1.5707963347942606,
1.5707963179437425,
1.5707963256149995,
-0.4481498916446482,
-0.4481498703337815,
-1.1619642573223407e-7,
1.0102989757027356,
1.5707963117896453,
1.... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 388 |
fda89f474d60f30689ab5fdd143ab993 | 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": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"sour... | {"states": [454, 326], "expectation_value": -3.523549392780554, "params": [[[0.7922, -0.004], [0.7868, 0.003], [0.7934, -0.004200000000000001], [-0.0085, -0.3961], [0.0969, 0.36000000000000004], [-0.0149, -0.3929], [0.8082, -0.0016], [0.8044, 0.0027], [0.7794000000000001, -0.0032]], [[0.7901, 0.0053], [0.78360000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["011111000", "100001111", "101111000", "100111001", "010111001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.9152753551188164) q[0];
ry(2.8706459491122245) q[0];
rz(-0.07782079519606189) q[0];
rz(1.2453361654215511) q[1];
ry(0.2763327541456699) q[1];
rz(-1.1841379885843912) q[1];
rz(-2.839140253443598) q[2];
ry(3.1017823718314865) q[2];
rz(0.7775636666266195) q[2];
rz(-3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIZII",
"ZIIZIIIII",
"ZIIIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"ZIIIZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.975469 | [
1.0059694947054747,
0.3220332929367382,
0.02946021209779187,
-0.36244194521412565,
1.834238103826684,
0.03923627635098467,
0.048733912800773764,
-1.1675184335303743,
0.11392458681000728,
1.005133698298767,
-0.07764964098522113,
0.0420650282902883,
1.6373895728609764,
0.10983000188630376,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 42 |
a99f86c3cb9c5f9afbf3a51c1f63c621 | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -21.262067812852425, "params": [[[0.0041, -0.0041], [0.0076, -0.0019], [0.0046, 0.0023], [0.0079, 0.0022], [0.0041, 0.0026000000000000003], [0.0014, -0.0027], [0.0015, 0.0029000000000000002], [-0.0006000000000000001, -0.0023], [-0.004200000000000001, -0.0014], [1.6006, 0.0143... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0008973377137980517) q[0];
ry(-0.07724966896180495) q[1];
ry(0.008071608743200348) q[2];
ry(-0.10161355622365542) q[3];
ry(0.0008973377137980517) q[4];
ry(0.007334187244498271) q[5];
ry(-0.023899058811940974) q[6];
ry(0.03792980714752836) q[7];
ry(0.07457937914449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIZIZII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"ZIIIIZIIII"... | [
-0.75,
-1.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
1.75,
-0.25,
-1,
-0.5,
-1.75,
-1,
-1,
-1,
-1.5,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
0.5,
-2,
0,
1.5,
-1.75,
-0.25,
-0.25,
3.75
] | 0.970659 | [
0.0008973377137980517,
-0.07724966896180495,
0.008071608743200348,
-0.10161355622365542,
0.007334187244498271,
-0.023899058811940974,
0.03792980714752836,
0.07457937914449166,
1.9130910066636795,
-0.15561674932195602,
-0.05138019592625169,
0.018200923871852043,
-0.002300110658170281,
0.003... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 44 |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -5.625119730016436, "params": [[-0.0621, -0.013000000000000001], [0.078, 0.043500000000000004]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013799229733544551, 0.014993740327278795], "optimization_time": 4.369083404541016} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
-7938295873252713390 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [0, 4, 5], [2, 4, 5], [3, 6], [0, 3, 4], [1, 3], [0, 8, 6], [8, 4], [8, 5], [5, 7], [6, 7], [0, 3, 7], [8, 2, 6], [2, 3, 4], [8, 3], [0, 1, 5], [1, 2, 7]]} | {"states": [355, 364], "expectation_value": -4.252539274740745, "params": null, "bitstrings": ["010011100", "010010011"], "total_optimization_steps": 65, "probabilities": [0.059390661629415115, 0.7882199010667769], "optimization_time": 106.76154685020447} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4395852966130331) q[0];
h q[1];
ry(-0.44803007725275085) q[1];
h q[2];
ry(1.4829220750053318) q[2];
h q[3];
cx q[3], q[1];
ry(0.44803007725275085) q[1];
cx q[3], q[1];
ry(-0.41824892312631684) q[1];
ry(1.1175211132073153) q[3];
h q[4];
ry(-0.608793583903852... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5592) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIIIIIZZ",
"IIIIIIZZI",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.... | 0.970339 | [
1.4395852966130331,
1.4829220750053318,
-0.6251890944194927,
1.3931593284471049,
-1.4708026533521303,
1.5745670782960244,
-1.2521281810908687,
0.04032389105854346,
-0.8960601545055017,
1.1175211132073153,
-0.8364978462526337,
-1.2175871678077042,
0.3974614346025498,
-0.4668424903924159,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.500000000000001,
"target_ratio": 0.97,
"target_value": -4.365000000000001
} | 16 |
a6296a8e6200fa7838cf2554e21a1dbb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [416, 418], "expectation_value": -6.395746255335776, "params": [0.3057, 0.304, 0.3055, 0.30510000000000004, -0.010700000000000001, -0.009300000000000001, 0.303, 0.3098, 0.2195, 0.21930000000000002, -0.0205, -0.0115, 0.0126, 0.0178, 0.2974, 0.2903, 0.0046, 0.0057, 0.3068, 0.30210000000000004, 0.3005, 0.301, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["001011011", "001011101", "001001111"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4369026814602431) q[0];
rz(-0.12149779427369323) q[0];
ry(0.43841719814342417) q[1];
ry(-0.0035469623877915253) q[2];
ry(0.3906896712834137) q[3];
ry(0.4082335769824389) q[4];
ry(0.0624299330616871) q[5];
ry(0.05062263492881135) q[6];
ry(0.5341210714416667) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IIIZIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-2.5,
-0.5,
-1.5,
-1.5,
-0.5,
-1.5
] | 0.972877 | [
0.4369026814602431,
0.43841719814342417,
-0.0035469623877915253,
0.3906896712834137,
0.4082335769824389,
0.0624299330616871,
0.05062263492881135,
0.5341210714416667,
0.10920201631831516,
-0.24299558854738645,
-0.08219110509103617,
0.04741373604624824,
-0.02880116167909965,
-0.0200432346577... | {
"n_parameters": 102,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 13 |
478347d0649638bba313bef5d45c4851 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [38, 36], "expectation_value": -1.9349496765973806, "params": [[0.0659, 0.0716, 0.045200000000000004, 0.0378], [-0.0548, -0.07400000000000001, -0.046200000000000005, -0.0431]], "bitstrings": ["1011001", "1011011"], "total_optimization_steps": 10, "probabilities": [0.014963468146175714, 0.01593596689186516], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 4 | {"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": ["0111101", "1011011", "1111010", "1111001", "1110110", "0101111", "0110111", "1101110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.19473427908825972) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.19473427908825972) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.19473427908825972) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
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": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
-1.5,
-1.5,
-1.5
] | 0.886571 | [
-0.19473427908825972,
1.136917865121911,
0.5310912698869844,
0.8775471306091145,
1.0363284716041778,
-0.9981925067797313,
2.946077734973025,
1.3732921212545732,
2.2890429782392525,
0.417474212986674
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 286 |
37d79e9da5c5cc6353e745c04287738a | 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": [2666, 618], "expectation_value": -94.66020457921557, "params": [0.30410000000000004, -0.12710000000000002, 0.0043, 0.3159, 0.6056, 0.0017000000000000001, 0.0032, 0.39930000000000004, 0.2827, 0.1885, 0.597, 0.0041, 0.5974, 0.0088, 0.2743, 0.2034, 0.5999, 0.0159, 0.2795, 0.2308, 0.6052000000000001, 0.0014, 0.... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(1) @ Z(10)) + 9.5 * Z(2) + -7.0 * Z(3) + 22.5 * Z(6) + 2.0 * Z(0) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-145.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.5, "smallest_bitstrings": ["110110010101"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.1390838953674784) q[0];
rz(-0.4164304494580766) q[0];
rx(0.13817625790460114) q[1];
rz(0.5224557973261835) q[1];
rx(0.84041123929338) q[2];
rz(-0.13532553482351223) q[2];
rx(-0.03605217274126134) q[3];
rz(0.14845547722661578) q[3];
rx(0.07737733050634374) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIIIZZIIII",
"IIIIZIIIIZII",
"IIIZIZIIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9.5,
-7,
22.5,
2,
17,
1.5,
1.5,
13,
1.5,
7,
-4.5,
-11.5
] | 0.982128 | [
0.13908389536747842,
-0.14037986804398797,
0.13817625790460114,
0.5224557973261835,
0.84041123929338,
-0.13532553482351223,
-0.03605217274126134,
0.14845547722661578,
0.07737733050634374,
-0.02609096448606804,
1.0462254702622857,
0.14079642483691523,
1.0640433753233671,
0.29986783985406273... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -145.5,
"target_ratio": 0.97,
"target_value": -141.135
} | 19 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.