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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f69f02979a3dd856d2f0528e75cb43d5 | 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": 17, "source": 0, "target": 3}, {"weight": 13, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [398, 236], "expectation_value": -25.014599646098056, "params": [[0.033600000000000005, 0.0025, 0.0059], [-0.0869, -0.0669, -0.0529]], "bitstrings": ["001110001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009541617592364143, 0.01282404505685594], "optimization_time": 5.877234935760498... | 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(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08508383351244203) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08508383351244203) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08508383351244203) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.08508383351244203) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"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,
17.5,
5,
15.5,
5.5,
8.5,
7.5,
16,
7,
-1.5
] | 0.970868 | [
-0.08508383351244203,
1.6352305149813327,
-1.5608456141352538,
1.4841041323195372,
1.729954073718733,
-1.2806005076562406,
1.449339560603237,
1.3519850224932846,
-1.3624678173902445,
-1.6502802957065026,
-1.6249373051283424
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 36 |
02575a12c565dc28617818fe7f0b4a99 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [137, 169], "expectation_value": -1.6489899909537766, "params": [0.609, 0.0056, 0.1487, 0.3457, 0.5979, 0.1356, 0.3577, 0.365, 0.6027, 0.084, 0.0016, -0.4403, 0.3209, 0.1376, 0.6085, 0.0658, 0.6059, 0.018600000000000002, 0.152, 0.3805, 0.5982000000000001, 0.2554, 0.3504, 0.3839, 0.6053000000000001, 0.0894000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + 0.12... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01011100", "01010110", "01100110"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IZIZIIII",
"ZIIIIIZI",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
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,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.5,
-0.125,
-0.25,
-0.125,
-0.625,
-0.25,
-0.25
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
98ff52dd3a46eb29e6baf499c47cc739 | 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": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.411633546218451, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 17, "probabilities": [0.06012617716668137, 0.7888212083319179], "optimization_time": 10.049439430236816} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
965cefed52e621c4c90674f817650a6a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [16, 17], "expectation_value": -8.903344921211282, "params": [0.0012000000000000001, 0.3201, -0.0041, 0.3713, 0.4955, -0.0005, -0.0043, 0.3766, -0.0022, 0.3881, -0.0033, 0.3795, -0.4756, 0.0043, 0.0026000000000000003, 0.32480000000000003, -0.0014, 0.3885, 0.49770000000000003, 0.0023, -0.0015, 0.3534, -0.0028... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 3 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1371628149450172) q[0];
rz(0.10881632348659742) q[0];
rx(0.1864024038899948) q[1];
rz(-0.3195045955826069) q[1];
rx(2.9880337255288247) q[2];
rz(0.22207265633894677) q[2];
rx(-0.13106700905450344) q[3];
rz(0.2476665926713589) q[3];
rx(-0.13106700905450344) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1.5,
-1.5,
-0.75,
-0.75,
-1.5,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
0,
-0.5,
2.25,
-0.75,
0
] | 0.97292 | [
0.1371628149450172,
0.10881632348659742,
0.1864024038899948,
-0.3195045955826069,
2.9880337255288247,
0.22207265633894677,
-0.13106700905450344,
0.2476665926713589,
-0.3079948270469457,
-0.013323840461271053,
0.4235835529470447,
2.634184532901478
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [33, 28], "expectation_value": -0.08019917821262174, "params": [[-0.05], [0.0582]], "bitstrings": ["011110", "100011"], "total_optimization_steps": 10, "probabilities": [0.016358778997173095, 0.01672870032879436], "optimization_time": 1.0263326168060303} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 68.66066336631775} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1111110", "1000000"], "largest_eigenvalue": 11.0} | 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(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
1c80dadd32cf1192b1e364a104d8c031 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [423, 295], "expectation_value": -92.86887273105287, "params": [-0.0026000000000000003, 0.5697, 0.9972000000000001, 0.2039, 0.5385, 0.30610000000000004, -0.0029000000000000002, 0.7231000000000001, 0.9955, -0.0154, -0.0029000000000000002, -0.5202, 0.0044, 0.6088, 0.9997, -0.0083, 0.9556, 0.167, 0.986100000000... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 17.0 * Z(2) + 6.0 * Z(1) + 7.5 * Z(4) + -4.0 * Z(0) + -6.0 * Z(3) + -3.0 * Z(5... | 18 | 10 | 3 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["1011011000"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2053416301274236) q[0];
rz(0.5502603322687367) q[0];
rx(1.1329065775866933) q[1];
rz(0.15261610052689922) q[1];
rx(0.17258413757943208) q[2];
rz(0.2491435774134353) q[2];
rx(-0.07788853077634922) q[3];
rz(0.8528492205022091) q[3];
rx(0.9419739330076345) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17,
6,
7.5,
-4,
-6,
-3,
23,
-5,
14.5,
16
] | 0.97087 | [
-0.20534163012742362,
0.5964202688849788,
1.1329065775866933,
0.15261610052689922,
0.17258413757943208,
0.2491435774134353,
-0.07788853077634922,
0.8528492205022091,
0.9419739330076345,
0.10457790715109527,
-0.49298678489722864,
-0.0070846267863451245,
0.4877487995310435,
1.091547173976718... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 8 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [0, 1], "expectation_value": -13.876656560242228, "params": [[[0.0033, 0.0057], [0.0024000000000000002, 0.0095], [0.0026000000000000003, 0.0085], [0.0024000000000000002, 0.003], [0.0027, 0.004], [0.0024000000000000002, 0.0058000000000000005], [1.6131, 0.006900000000000001]]], "bitstrings": ["1111111", "11111... | -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 | 1 | {"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)... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"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 |
1c80f3c75b1022b250456b9adb4d4588 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [1023, 4095], "expectation_value": -15.507258139865003, "params": null, "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.11266747513458898, 0.40882171576315746], "optimization_time": 255.17534017562866} | -1.5 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["110000000000", "000000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.7881973540517776) q[0];
h q[1];
h q[2];
h q[3];
ry(0.7907293289779709) q[3];
h q[4];
ry(0.046606813134946995) q[4];
cx q[2], q[4];
ry(-0.046606813134946995) q[4];
cx q[2], q[4];
ry(1.5587695768240728) q[2];
cx q[2], q[3];
ry(-0.7907293289779709) q[3];
cx q... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971171 | [
0.09321362626989399,
1.5587695768240728,
0.544818641536793,
0.0410280574670515,
-0.1986086597017536,
0.5306605180693353,
0.040464218229772225,
0.16128146173068025,
0.6041273568895739,
0.06783314616493902,
-0.05293718679934651,
1.5814586579559418,
0.6304560385128332,
-0.13376611041215536,
... | {
"n_parameters": 78,
"n_qubits": 12,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 164 |
-4542389140038837423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 5, 6, 7, 8, 10], [11, 4, 5, 6], [0, 1, 2, 7, 8], [8, 9, 5], [3, 9, 11], [0, 5, 7, 8, 11], [2, 4, 5, 6, 8, 10], [0, 2, 3, 4, 5, 10, 11], [2, 4, 5, 7], [1, 4, 7, 8, 9, 11], [1, 2, 3, 4, 5, 8], [9, 3, 6, 7], [3, 1, 11, 6], [1, 2, 5, 7, 8, 10, 11], [0,... | {"states": [1949, 3997], "expectation_value": -5.139430078137055, "params": [[[1.5911000000000002, 0.007200000000000001], [3.1392, 0.0002], [3.1389, 0.0022], [3.1217, 0.0088], [3.1392, 0.0081], [0.0031000000000000003, 0.0006000000000000001], [0.0023, 0.006200000000000001], [3.1393, 0.0044], [3.1389, 0.0097], [3.1392, 0... | 0.07142857142857142 * (Z(0) @ Z(6)) + 0.3380952380952381 * (Z(7) @ Z(6)) + 0.12142857142857143 * (Z(7) @ Z(0)) + 0.2142857142857143 * (Z(8) @ Z(6)) + 0.22142857142857142 * (Z(8) @ Z(0)) + 0.23095238095238094 * (Z(8) @ Z(7)) + 0.24047619047619045 * (Z(9) @ Z(6)) + 0.18095238095238095 * (Z(9) @ Z(0)) + 0.1809523809523809... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.149999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.128571428571427, "smallest_bitstrings": ["000001100010"], "largest_eigenvalue": 25.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.614695219190314) q[0];
rz(0.031074496471884337) q[0];
rx(3.116649650021793) q[1];
rz(0.09343031712876755) q[1];
rx(3.2166638659485036) q[2];
rz(-0.16399500922593613) q[2];
rx(3.2318228885167217) q[3];
rz(-0.027487874857669133) q[3];
rx(3.116649650021793) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"IIIIZZIIIIII",
"IIIIZIIIIIIZ",
"IIIZIZIIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"IIIIZIIII... | [
0.07142857142857142,
0.3380952380952381,
0.12142857142857143,
0.2142857142857143,
0.22142857142857142,
0.23095238095238094,
0.24047619047619045,
0.18095238095238095,
0.18095238095238095,
0.21428571428571425,
0.1738095238095238,
0.2238095238095238,
0.4142857142857142,
0.20714285714285713,
... | 0.995833 | [
1.614695219190314,
0.031074496471884337,
3.116649650021793,
0.09343031712876755,
3.2166638659485036,
-0.16399500922593613,
3.2318228885167217,
-0.027487874857669133,
0.042385071346666345,
0.08267435123280208,
-0.055505141717099936,
0.16478361232797242,
0.08813040239135057,
3.13674226278327... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -5.149999999999999,
"target_ratio": 0.97,
"target_value": -4.995499999999998
} | 1 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 23.855812549591064} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | null | {"source": 0, "sink": 4} | {"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(1.57) q[1], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -6.076059963128862, "params": [[0.060200000000000004, 0.033800000000000004, 0.0541, 0.041600000000000005], [-0.0632, -0.036000000000000004, -0.0429, -0.043300000000000005]], "bitstrings": ["1011110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.02572404055935... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
-349847794954377000 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [0, 3], [0, 2]]} | {"states": [14, 15], "expectation_value": -1.0451757680836822, "params": null, "bitstrings": ["110001", "110000"], "total_optimization_steps": 37, "probabilities": [0.16907457087764458, 0.23552706966484116], "optimization_time": 33.104695558547974} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.125 * Z(3) + 0.125 * Z(1) + 0.125 * Z(4) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["110000", "100010", "100001", "001100"], "largest_eigenvalue": 1.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.4797187197977644) q[0];
h q[1];
ry(-0.40241303861049116) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.4797187197977644) q[0];
cx q[3], q[0];
ry(-0.3066145318348762) q[0];
cx q[2], q[0];
ry(0.3066145318348762) q[0];
cx q[2], q[0];
ry(-0.7738644864686693) q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"ZIZIII",
"ZIIIZI",
"ZZIIII",
"IIZIIZ",
"IIIZIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIIIZ",
"IIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0
] | 0.974377 | [
-0.9594374395955289,
1.5805947499314394,
-0.6132290636697524,
1.2982386979798557,
-0.7322522160199334,
0.4065747031757765,
-0.12154912626874292,
-0.08322454089747194,
1.7356744245925098,
-1.3730397358778585,
-1.2802498850133952,
0.026432478957468687,
-0.15887223078973506,
-0.80482607722098... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 31 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 19.82739543914795} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
7924811032022698100 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [1, 3], [1, 2], [0, 1], [0, 2], [2, 3], [2, 4]]} | {"states": [6, 25], "expectation_value": -0.06181708488974809, "params": [[0.0718], [-0.0629]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.03294578315349074, 0.03294578315349074], "optimization_time": 0.5113792419433594} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["10110", "01001", "10010", "10011", "01101", "11001", "01100", "00110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.6543696814028234) q[0];
h q[1];
ry(-0.5126608706753003) q[1];
h q[2];
ry(-0.5762153931181222) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(0.5762153931181222) q[2];
cx q[4], q[2];
ry(-0.19806687174596505) q[2];
cx q[3], q[2];
ry(0.19806687174596505) q[2];
cx q[3... | 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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZZIII",
"IZIZI",
"ZIZII",
"IZZII",
"IIZZI",
"IIIZZ",
"IIZIZ",
"ZIIII",
"IZIII",
"IIIZI",
"IIZII",
"IIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971886 | [
-1.1524307862362444,
1.0224361484828497,
-0.3961337434919301,
1.3087393628056467,
-1.0253217413506006,
0.808922851442036,
-0.6062161829433063,
0.4338473650623666,
-0.6259685747832153,
0.5738406518365079,
-0.2969414008236231,
0.33226859792154945,
-0.19630842910780344,
0.18638394291028929,
... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 6 |
da3fd692e1cddfe21991af23f7963d1f | 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": [374, 342], "expectation_value": -39.293114649911395, "params": [2.3059000000000003, 0.0008, 0.4272, 0.0079, 2.3016, 0.0001, 1.4744000000000002, 0.0071, 2.306, 0.007, 1.0441, 0.0063, 2.3015000000000003, 0.0041, 2.3023000000000002, 0.00030000000000000003, 0.0031000000000000003, 0.0085, 0.007, 0.0023, 0.001200... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(4)) + 2.5 * Z(0) + -1.5 * Z(1) + 8.0 * Z(2) + 15.0 * Z(4) + 4.0 * Z(3) + 1.0 * Z(5) + 10.0 * Z(7) + 6.5 * Z(6) + -3.0 * Z(8) | 18 | 9 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["010101001"], "largest_eigenvalue": 94.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.0421246463777813) q[0];
rz(0.6401999923431916) q[0];
rx(0.3409525740836279) q[1];
rz(0.37545902841686907) q[1];
rx(2.921810862343899) q[2];
rz(-0.43651434515338877) q[2];
rx(0.039547395195799445) q[3];
rz(-0.23950724153932146) q[3];
rx(3.2358216658946883) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IZIZIIIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
2.5,
-1.5,
8,
15,
4,
1,
10,
6.5,
-3
] | 0.977412 | [
3.0421246463777813,
0.5437828900053698,
0.3409525740836279,
0.37545902841686907,
2.921810862343899,
-0.43651434515338877,
0.039547395195799445,
-0.23950724153932146,
3.2358216658946883,
0.19283420467564355,
-0.16430164588682003,
-0.1916207025436942,
2.8515595215481553,
0.669378400257704,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 17 |
27c408f36f3749a0af3ff77dddb9a6ea | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [870, 854], "expectation_value": -1.65219421895724, "params": [0.5983, 0.0636, 0.464, 0.1246, 0.19490000000000002, 0.2018, 0.6026, 0.091, 0.4138, 0.1527, 0.4272, 0.1923, 0.19940000000000002, 0.2011, 0.6082000000000001, 0.003, 0.6015, 0.191, -0.0117, 0.3392, 0.5963, 0.0661, 0.4655, 0.1322, 0.19460000000000002... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011000011", "0101000110", "0100010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9832797652129619) q[0];
rz(-0.5770519755710892) q[0];
rx(1.4565290876916401) q[1];
rz(-0.46357754977916055) q[1];
rx(0.14127281389752583) q[2];
rz(0.5906818059308248) q[2];
rx(0.7909678010704663) q[3];
rz(-0.14857853309057878) q[3];
rx(-0.29147635421597956) 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] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIZIZI",
"IIIIIZIZII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0,
0,
0.125,
0.125,
0.125,
0,
-0.25,
-0.25,
... | 0.97426 | [
0.983279765212962,
-0.4420056947976079,
1.4565290876916401,
-0.46357754977916055,
0.14127281389752583,
0.5906818059308248,
0.7909678010704663,
-0.14857853309057878,
-0.29147635421597956,
0.024912261802634193,
1.0258909533899938,
0.15590237079349717,
0.011543723248921299,
0.4382288038755616... | {
"n_parameters": 119,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 34 |
bf94e6406551047eb54e98577948dda2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [199, 7], "expectation_value": -0.6833706770208028, "params": [[-0.039900000000000005], [0.0492]], "bitstrings": ["00111000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.004729350964861408, 0.0048156387875496615], "optimization_time": 1.666262149810791} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8209783381151133) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.42611973320836577) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.18222129726085273) q[2];
cx q[1], q[2];
rz(0.14707287566983435) q[3];
cx q[0], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-3,
1,
0.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
-1.5,
0.5,
-1.5,
1.5,
-2,
-2.5,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.573288 | [
0.8209783381151133,
0.42611973320836577,
0.14707287566983435,
0.18222129726085273,
0.6697450513039219,
1.075441192615211,
0.3091718356189598,
0.9747450994580911
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 184 |
6198524258548714593 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [0, 6], [2, 3, 4, 6], [1, 2, 6], [1, 3, 4, 6], [2, 3, 5, 6]]} | {"states": [122, 124], "expectation_value": -0.9501883713623533, "params": [[-0.4378], [0.42800000000000005]], "bitstrings": ["0000101", "0000011"], "total_optimization_steps": 50, "probabilities": [0.02538361247965385, 0.026553573985013103], "optimization_time": 1.663048267364502} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7500000000000007, "smallest_bitstrings": ["0000011"], "largest_eigenvalue": 5.500000000000001} | 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[2];
rz(-3.3840971316132455e-08) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(1.2145428570130592e-08) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-3.3840971316132455e-08) q[5];
cx q[2], q[5];
h q[6];
cx q[4], q[6];
rz(1.214... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"ZIIIIIZ",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIIIZZI",
"ZIIIIZI",
"IIIZIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI"
] | [
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.41666666666666663,
0.5833333333333333,
0.2... | 0.954545 | [
-3.3840971316132455e-8,
1.2145428570130592e-8,
-6.308967572796496e-8,
3.524193971105491e-8,
-3.1415926261871965,
1.5707964629859903,
-1.5707962997856728,
-1.5707961230185528,
-1.5707963142049026,
1.5707964626440978,
-1.5707963347329938,
1.5707963243006196
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 355 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"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}, ... | {"states": [34, 3], "expectation_value": -12.676024747146506, "params": [[0.0073, 0.027, 0.0125], [-0.031400000000000004, -0.056600000000000004, -0.0644]], "bitstrings": ["1011101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.013512412946300296, 0.014585416862990178], "optimization_time": 7.50687503... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 10 | 7 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"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,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
701623041341067824 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 3], [2, 6], [2, 5]]} | {"states": [103, 116], "expectation_value": -0.6053585973047401, "params": [[-0.36260000000000003], [0.36360000000000003]], "bitstrings": ["0011000", "0001011"], "total_optimization_steps": 40, "probabilities": [0.021997629774680706, 0.021997629774680706], "optimization_time": 1.0508615970611572} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001011", "0011000"], "largest_eigenvalue": 2.4999999999999996} | 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[1];
rz(-0.3857719395795971) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.3857719395795971) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(-1.155963902642695) q[0];
cx q[3], q[0];
rz(0.063831895117195) q[0];
rx(0.791... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IIIZIIZ",
"ZIIIZII",
"IZIIZII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.676183 | [
-0.3857719395795971,
-1.155963902642695,
0.06383189511719498,
0.7910019613164754
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 113 |
-2365515667393668132 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 7], [1, 2, 3, 5, 8], [1, 6], [8, 3, 4, 6], [0, 8, 2, 4], [2, 3, 6, 7, 8], [0, 1, 5, 8], [0, 3, 4], [0, 8, 7], [8, 4, 6, 7]]} | {"states": [187, 243], "expectation_value": -1.3188618824005685, "params": [[0.3483], [-0.3418]], "bitstrings": ["101000100", "100001100"], "total_optimization_steps": 40, "probabilities": [0.0067956220985938166, 0.006913896092314983], "optimization_time": 4.441890478134155} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(7)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.650000000000001, "smallest_bitstrings": ["100001100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.612527094531774e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(2.7758327140540227e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.612527094531774e-08) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"... | [
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.13333333333333333,
0.05,
0.16666666666666666,
0.1,
0.05,
0.13333333333333333,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.3333333333333333,
0.18333333333333335,
0.3,
0.18333333... | 0.757338 | [
3.612527094531774e-8,
2.7758327140540227e-8,
7.694302269816046e-8,
7.808221481308002e-8,
2.6484558323113595e-8,
-2.130913579176293e-7,
9.291344763009835e-8,
6.804206572150115e-9,
5.826156595048769e-8,
1.5707964683483728,
1.0216897783591098e-7,
-2.8707775552196994e-9,
1.5707960911765835,
1.... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -2.7333333333333334,
"target_ratio": 0.97,
"target_value": -2.651333333333333
} | 500 |
5480518061682492689 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 7], [0, 1, 2, 3, 5, 6], [5, 6, 7], [0, 1, 3, 6, 7], [0, 4, 5], [0, 2, 3, 5, 7]]} | {"states": [149, 213], "expectation_value": -1.566706727538414, "params": null, "bitstrings": ["01101010", "00101010"], "total_optimization_steps": 40, "probabilities": [0.07784788095953254, 0.8751396788828577], "optimization_time": 56.51997947692871} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.26666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.13333333333333336 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(7)) + 0.08333333333333334 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(7)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6000000000000008], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6000000000000003, "smallest_bitstrings": ["00101010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-3.029410503770708) q[0];
rz(-pi) q[0];
ry(-1.9565606228291097) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.24193834224765304) q[2];
h q[3];
ry(0.24416488857043528) q[3];
h q[4];
ry(-0.18458770256582088) q[4];
h q[5];
cx q[5], q[4];
ry(0.18458770256582088) q[4];
cx q[5], q[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];\nry(1.4691) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZZIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZZIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIIZ",
"IZIIIIZ... | [
0.16666666666666666,
0.16666666666666666,
0.26666666666666666,
0.16666666666666666,
0.13333333333333336,
0.1,
0.08333333333333334,
0.05,
0.08333333333333334,
0.08333333333333334,
0.05,
0.08333333333333334,
0.03333333333333333,
0.16666666666666666,
0.08333333333333334,
0.216666666666666... | 0.973045 | [
1.4663469217003136,
1.2759156770625661,
0.3653969998264905,
-0.36917540513164177,
0.24416488857043528,
-0.34981365887939775,
0.5051991512772351,
-0.48262604947678023,
0.4203918216032893,
-0.49856784115993835,
0.4487490597445549,
-0.7451954166030941,
0.27158043051085995,
-0.3526249950073892... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.6000000000000008,
"target_ratio": 0.97,
"target_value": -1.5520000000000007
} | 1 |
3fb92c2724b637b3a6562529e78f511e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [345, 218], "expectation_value": -11.318866463275493, "params": [[0.050100000000000006], [-0.0849]], "bitstrings": ["010100110", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004701145010902859, 0.005421292114778906], "optimization_time": 1.9700360298156738} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03793116302086931) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03793116302086931) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03793116302086931) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.03793116302086931) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
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,
9.5,
10,
18,
15.5,
7.5,
8.5,
-1.5,
5,
13.5
] | 0.972918 | [
-0.03793116302086931,
-1.4248751134690034,
0.8964339439827548,
1.4787506140257047,
1.5833165455215517,
-1.1332226758853523,
1.2759810525841642,
-1.2072559147152429,
-1.196711431177058,
1.2757363169196658,
-1.3277207555605701,
0.14921189922378797,
-0.33133647995979043,
1.3848966292509064,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 110 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 359.18796253204346} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5708) q[11];\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];... | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
b575860502e0560613ed09a59a899ee7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [209, 211], "expectation_value": -12.865623478649777, "params": null, "bitstrings": ["100101110", "100101100"], "total_optimization_steps": 55, "probabilities": [0.3203118000470969, 0.4267221546284856], "optimization_time": 82.55841755867004} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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... | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
9313084cc492e2aab2fbf1a94b6f25bf | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -0.13700654938196782, "params": [[-0.059500000000000004], [0.0641]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.00438779857419703, 0.004394751538090588], "optimization_time": 2.2555222511291504} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5044872271921961) q[0];
h q[1];
ry(0.7817244421400541) q[1];
h q[2];
ry(-0.6384678543212984) q[2];
h q[3];
ry(0.38704973127573605) q[3];
h q[4];
ry(1.56196623503395) q[4];
cx q[4], q[1];
ry(-0.7817244421400541) q[1];
cx q[4], q[1];
cx q[1], q[2];
ry(0.6384... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
0.25,
-0.75,
0.5,
0,
0,
1.25
] | 0.974103 | [
1.56196623503395,
1.5634488842801082,
-1.0089744543843921,
1.3527550025587325,
-1.2769357086425968,
-0.7483517277935016,
0.40733913296322016,
0.7740994625514721,
-1.14380225088928,
0.24805613609596966,
-0.04051523267791764,
-0.7821264110959021,
0.5107849771464563,
-0.2823156684433042,
-0... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 18 |
14c8306007b90c8e2782e911735b65c9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [115, 114], "expectation_value": -2.8586854532081576, "params": [0.0012000000000000001, -0.2684, 0.6045, -0.0038, 0.5971000000000001, -0.0027, 0.6016, 0.0034000000000000002, -0.0035, -0.2897, 0.5426, 0.0051, 0.6028, -0.0032, 0.3955, 0.0874, 0.0011, -0.24580000000000002, 0.5969, 0.0024000000000000002, 0.6005,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(6) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(7) + 0.0 * Z(5) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["11001100", "10001011", "11001010", "10001101", "01110010", "11100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.007142128652712341) q[0];
rz(1.4696550595916795) q[0];
rx(0.7997891959380781) q[1];
rz(1.4043792951119318) q[1];
rx(0.6737374158624506) q[2];
rz(1.4471900608376362) q[2];
rx(1.3107381908420392) q[3];
rz(1.465629041901476) q[3];
rx(-0.08705502499124251) q[4];
rz(1.1... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIZI",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0,
-1,
-1,
-0.5,
0,
0
] | 0.97326 | [
0.00714212865271234,
-0.10114126720321721,
0.7997891959380781,
-0.16641703168296518,
0.6737374158624506,
-0.12360626595726018,
1.3107381908420392,
-0.1051672848934202,
-0.08705502499124253,
-0.4431303097301538,
0.5048311195397299,
-0.04989589050288258,
0.87955840070347,
-0.1055169583921534... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [109, 110], "expectation_value": -2.9952854066618197, "params": null, "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 54, "probabilities": [0.07769502901641709, 0.7755989784923617], "optimization_time": 86.94609904289246} | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5158) 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",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIZI",
"IZIIZIZI",
"IZIZIIZI",
"IZIZZIII",
"IZIZZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
0,
-0.625,
0.125,
0,
-0.125,
-0.25
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [256, 1], "expectation_value": -14.833682395599547, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 28, "probabilities": [0.15232491526839836, 0.8167377775335217], "optimization_time": 37.2039909362793} | -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... | 1 | 9 | 1 | {"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... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"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 |
-1410698639661506152 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 5, 6], [0, 2, 3, 4, 5, 6], [1, 2, 3, 4, 6], [1, 4, 5]]} | {"states": [123, 107], "expectation_value": -0.9835560267087535, "params": [1.3432000000000002, 0.15180000000000002, 1.3773, 0.009000000000000001, 1.4834, -0.033100000000000004, 1.1856, 0.0026000000000000003, 1.012, -0.1971, 0.9138000000000001, 0.0038, 1.4669, 0.1515, 1.3971, 0.008700000000000001, 1.0197, 0.5182, 0.689... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.16666666666666669 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(... | 5 | 7 | 1 | {"smallest_eigenvalues": [-1.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2333333333333332, "smallest_bitstrings": ["0010100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.592133059411577) q[0];
rz(-0.0763011936425868) q[0];
rx(2.0201128484844078) q[1];
rz(-0.11599900612525982) q[1];
rx(0.6095664163402298) q[2];
rz(-0.7702621105854308) q[2];
rx(1.801775843495406) q[3];
rz(-0.15821130770660385) q[3];
rx(0.3942546641216394) 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": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.08333333333333333,
0.13333333333333333,
0.11666666666666667,
0.3,
0.11666666666666667,
0.16666666666666669,
0.13333333333333333,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.25,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.11666666666666667,
0.... | 0.971205 | [
1.5921330594115768,
-0.06925906724944868,
2.0201128484844078,
-0.09134970345721198,
0.6095664163402298,
-0.43971746651168764,
1.8017758434954063,
-0.20031854446385877,
0.3942546641216394,
1.0684775205976975,
2.1014936091662886,
0.034226133594800964,
1.539289228442807,
0.2549014097838544,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -1.2333333333333334,
"target_ratio": 0.97,
"target_value": -1.1963333333333332
} | 32 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"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}, ... | {"states": [66, 3], "expectation_value": -7.994089351908369, "params": [[-0.0577], [0.07780000000000001]], "bitstrings": ["0111101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01237175977816981, 0.013174332440528104], "optimization_time": 3.8285396099090576} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 16 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"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,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -11.742554093666135, "params": [0.0022, 0.36960000000000004, 0.0016, 0.4575, 0.0027, 0.4576, 0.003, 0.4481, 0.0029000000000000002, 0.4127, 0.0043, 0.4293, 0.004200000000000001, 0.4319, 0.6044, 0.006900000000000001, 0.0085, 0.3075, 0.0053, 0.4264, 0.0027, 0.4494, 0.0015, 0.4535, 0... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 3 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -1.9713027861228631, "params": [[0.061000000000000006, 0.0733, 0.0543, 0.059300000000000005], [-0.0366, -0.0689, -0.045700000000000005, -0.052000000000000005]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.03176145252251506, 0.03525768... | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
e314f97a67cf53680761d0291b0562fe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [100, 101], "expectation_value": -4.20486717126075, "params": [[[0.7381000000000001, -0.0751, 0.0038, 0.0063], [0.34750000000000003, 0.0026000000000000003, 0.8289000000000001, 0.0507], [0.0693, 0.0461, -0.0682, -0.0066], [-0.0089, -0.009300000000000001, -0.6960000000000001, -0.08940000000000001], [-0.5035000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(7) + -1.0 * Z(3) + 0.0 * Z(2) + -0.5 * Z(5) | 11 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100100", "11010100", "11010010", "10011100", "10011010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.7848721589206132) q[0];
rz(0.04194138563454514) q[0];
ry(0.39865747344183) q[1];
rz(-0.0612521465577483) q[1];
cx q[1], q[0];
ry(-0.006687974365908147) q[0];
rz(-0.03836999471803828) q[0];
ry(1.0096850989931674) q[1];
rz(-0.14705391414274013) q[1];
ry(0.07953377028... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIZI",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-0.5,
0,
-1,
0,
-0.5
] | 0.973892 | [
0.7848721589206132,
0.04194138563454514,
0.39865747344183,
-0.0612521465577483,
0.0795337702823364,
0.22254094005839722,
0.1050209968436272,
-0.11038104505875938,
-0.6164426647618211,
-0.038148614308604493,
-0.06769940739439982,
-0.5194767305362138,
-0.6533792819673797,
0.13250594591317685... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
f62281c68165f3e4d14cdd3e07ccca91 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1506, 1514], "expectation_value": -3.1133232043685135, "params": [1.0005, 1.0178, 0.0178, 0.0441, 0.5674, 0.7195, 0.7819, 0.8088000000000001, 0.7414000000000001, 0.7848, 0.8894000000000001, 0.8338, -0.12050000000000001, -0.036000000000000004, 0.4761, 0.4792, -0.0027, 0.0015, 0.7826000000000001, 0.7811, 0.00... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.4375, "smallest_bitstrings": ["11000000101", "00001011100", "01000100101", "01000010110", "01000010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.11110714934458205) q[0];
rz(1.5653773879816963) q[0];
rx(0.2678907842773557) q[1];
rz(1.8739954800679133) q[1];
rx(-0.2103826577110534) q[2];
rz(1.6030227083907995) q[2];
rx(0.45384505780804696) q[3];
rz(2.0339185281696217) q[3];
rx(0.23201361940230053) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | 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,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.9716 | [
-0.11110714934458206,
-0.005418938813200692,
0.26789078427735563,
0.30319915327301716,
-0.21038265771105338,
0.0322263815959039,
0.4538450578080469,
0.4631222013747248,
0.23201361940230053,
0.7097441236500686,
0.1588386398178482,
-0.4391835547948592,
0.33551123617620476,
-0.270766773880199... | {
"n_parameters": 120,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 171 |
a580428593ca2a54e0f078f27f8703fa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [125, 117], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10000010", "10001010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 46.01744723320007} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
2fa70418a76718874d5aeb96b95ef824 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [170, 171], "expectation_value": -8.079812074907382, "params": [[[-0.017400000000000002, -0.21530000000000002], [0.3992, -0.0002], [0.0001, 0.22410000000000002], [0.3985, 0.0], [-0.0224, 0.218], [0.40180000000000005, 0.0032], [-0.0217, -0.2179], [0.399, -0.0], [0.395, -0.0029000000000000002]], [[-0.0187, -0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101010100"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-3.0612328061100147) q[0];
ry(0.14995456103467514) q[0];
rz(2.1033884741557287) q[0];
rz(0.9580653396504379) q[1];
ry(2.681059828380915) q[1];
rz(-2.081833445025043) q[1];
rz(-1.7712290165618805) q[2];
ry(0.09258639412657516) q[2];
rz(2.561950529645852) q[2];
rz(2.11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZIIZI",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-2.5,
-1,
-0.5,
-2.5,
-1,
-1.5,
-1,
-2.5
] | 0.975862 | [
0.11265279750886802,
-0.310905991946709,
0.658165872105422,
-0.1064198628732606,
-0.0899249410846923,
0.40443393390279375,
0.5226246718647434,
0.06675408870825542,
0.01286038747667781,
0.0567146409397537,
0.47265328997973255,
-0.15788436985028187,
0.026135018045095965,
-0.2277796855185427,... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 18 |
ec471b6985489d774242f85569adf59b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 44.14005661010742} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | 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(1.57) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\... | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.17492400197093094, "params": [[-0.0368, 0.0543, 0.0704, 0.0653], [0.0799, -0.0051, -0.0454, -0.054400000000000004]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.07786634006740596, 0.07786634006740605], "optimization_time": 1.87336969375... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.377632229191766, "params": [0.0022, 0.9273, 0.0026000000000000003, 0.8916000000000001, -0.6103000000000001, 0.0079, -0.0001, 0.6226, 1.0450000000000002, 0.0488, 1.0533000000000001, 0.0575, 0.0036000000000000003, 0.9337000000000001, 0.0029000000000000002, 0.8979, -0.6099, -0.0... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
5442278369559804901 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [3, 6], [0, 4], [0, 6], [5, 7], [2, 5], [0, 1], [1, 4], [4, 7], [1, 6], [6, 7], [2, 6], [0, 5], [1, 7], [2, 3], [0, 2]]} | {"states": [46, 209], "expectation_value": -0.11444639155604067, "params": [[-0.0548], [0.0668]], "bitstrings": ["11010001", "00101110"], "total_optimization_steps": 10, "probabilities": [0.004370391332913636, 0.004370391332913636], "optimization_time": 7.662050247192383} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["00101110", "11010001", "10110001", "01001110", "10010001", "01101110", "00001110", "11110001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.7125723068997947) q[0];
h q[1];
ry(0.7623520706516765) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.0750459932164895) q[4];
h q[5];
ry(-0.8229133526646654) q[5];
h q[6];
ry(-0.0750459932164895) q[6];
cx q[3], q[6];
ry(0.0750459932164895) q[6];
cx q[3], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IZIIZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZIZ",
"IIZIIZII",
"IIIZIIZI",
"IZIIIIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZI... | [
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
] | 0.978411 | [
-0.150091986432979,
1.4220911187234806,
1.524704141303353,
-1.230734563055811,
-0.76060100204803,
1.3234691287675682,
-1.6458267053293307,
1.4251446137995893,
-0.7242917243726007,
0.2986902792378079,
-0.18994590765364644,
0.15183313460294692,
-0.46017602841002037,
-0.6090918785056351,
-0... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 14 |
4774e3e9bff083e8c596e191efb212f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [9, 11], "expectation_value": -1.9756269456618671, "params": [0.0026000000000000003, 0.5968, 0.0019, 0.5882000000000001, 0.5812, 0.3503, 0.7986000000000001, 0.4501, 0.5576, -0.0838, 0.8, -0.059300000000000005, 0.8074, -0.00030000000000000003, 0.0026000000000000003, 0.0012000000000000001, 0.0019, 0.004, 0.575... | 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + -0.25 * Z(... | 3 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1110100", "1101100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.05144027602921499) q[0];
rz(-0.633646882601123) q[0];
rx(-0.0024804407851094115) q[1];
rz(0.6892744924000755) q[1];
rx(0.08365365082144713) q[2];
rz(1.13457283684229) q[2];
rx(1.4648354273348037) q[3];
rz(0.4461302464749024) q[3];
rx(-0.27298286778384845) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"ZIIZIIZ",
"ZIZIIII",
"IZIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.980371 | [
0.051440276029215,
-0.3025585059328266,
-0.002480440785109412,
1.1848639060780362,
0.08365365082144713,
0.5296914195656056,
1.4648354273348039,
0.3738380779636798,
-0.2729828677838484,
-0.351154508518934,
1.7437105114695473,
-0.0752921498709388,
1.6806354720762,
0.26290747257993824,
0.10... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 33.362776041030884} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.03421550651702045, "params": [[-0.0524], [0.0601]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.1273197453376671, 0.1314556747678062], "optimization_time": 1.9438660144805908} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
rz(x2) ... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
1614163801918302457 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 4, 1], [3, 5, 7], [10, 2, 5], [0, 4, 5, 6, 8, 9, 10, 11], [0, 5, 7, 8, 9], [1, 3, 4, 10, 11], [8, 2, 4, 5], [3, 6, 7, 8, 10], [8, 2, 11], [0, 9, 3, 5], [8, 4, 7], [1, 2, 11], [8, 1, 5], [0, 1, 2, 6, 10], [9, 5, 1, 7], [9, 10, 2, 4], [0, 4, 5, 6, 7... | {"states": [1822, 3870], "expectation_value": -3.46618684787764, "params": [0.8232, 0.1297, 0.8182, 0.006, 1.3441, 0.0506, 1.3978000000000002, -0.1218, 1.4631, 0.0006000000000000001, 1.4629, 0.0048000000000000004, 1.2774, -0.0082, 0.9976, 0.0852, 0.3895, 0.5607, 0.3824, 0.0055000000000000005, 0.43920000000000003, -0.55... | 0.18452380952380953 * (Z(9) @ Z(10)) + 0.2583333333333333 * (Z(4) @ Z(10)) + 0.26785714285714285 * (Z(4) @ Z(9)) + 0.18333333333333335 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.13333333333333333 * (Z(1) @ Z(4)) + 0.1 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(9)) + 0.05 * (Z(3) @ Z(4)) + 0.05 *... | 8 | 12 | 1 | {"smallest_eigenvalues": [-4.204761904761906], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.036904761904762, "smallest_bitstrings": ["000011100001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.3322619351713907) q[0];
rz(1.3656990061439762) q[0];
rx(1.1286324020092116) q[1];
rz(0.04915838998546908) q[1];
cx q[1], q[0];
ry(-0.011326621197986088) q[0];
cx q[1], q[0];
ry(1.600928755423052) q[0];
rz(-1.5104111889006493) q[0];
rx(1.4127826838156348) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIIIIII",
"IZIIIIIZIIII",
"IIZIIIIZIIII",
"IZIIIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IZIIIIIIZIII",
"IIZIIIIIZIII",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IZIIIIZIIIII",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IZIIZIIIIIII",
"IIZIZIIIIIII",
"IIIIZIIZI... | [
0.18452380952380953,
0.2583333333333333,
0.26785714285714285,
0.18333333333333335,
0.16666666666666666,
0.13333333333333333,
0.1,
0.08333333333333333,
0.05,
0.05,
0.20833333333333331,
0.31785714285714284,
0.20833333333333331,
0.25,
0.25,
0.07380952380952381,
0.13333333333333333,
0.... | 0.973908 | [
1.3322619351713907,
-0.20509732065092037,
1.1286324020092116,
0.04915838998546908,
1.6425198279425552,
0.01656232547038925,
2.0886064768646344,
-0.00899769479620123,
-0.14477494463235488,
0.7855897374199245,
-0.019728582271375136,
-0.5892244733338963,
0.47722966780043596,
0.037491904625897... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -4.204761904761906,
"target_ratio": 0.97,
"target_value": -4.078619047619049
} | 16 |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | 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": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8190, 8191], "expectation_value": -34.50163118723043, "params": [0.0002, 0.916, -0.0027, 1.0932, 1.0412000000000001, -0.0015, 1.0474, 0.0038, 1.0415, -0.0012000000000000001, 1.0461, 0.0018000000000000002, 1.0410000000000001, 0.0077, 1.0426, -0.0013000000000000002, 1.0475, 0.0227, 1.0495, 0.0346, 1.043100000... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 18 | 15 | 3 | {"smallest_eigenvalues": [-35.33333333333288], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.33333333333316, "smallest_bitstrings": ["110000000000000"], "largest_eigenvalue": 79.66666666666663} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
-0.5,
-1,
1,
-0.5,
0.5,
1,
2,
4,
2,
1,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.5,
-0.3333333333333333,
9,
4.5,
4.5,
1,
1.5,
3,
1.5,
9,
4.5,
9,
2.5,
-2,
-2,
-1,
-0.5
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 11], "expectation_value": -0.08292308356853417, "params": [[-0.0804], [0.0753]], "bitstrings": ["001011", "110100"], "total_optimization_steps": 10, "probabilities": [0.01753279129738219, 0.017532791297382198], "optimization_time": 0.9133312702178955} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
d5ba60497bf54de061e291b1c3ba948c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [33, 41], "expectation_value": -4.054952357009259, "params": [-0.0005, 0.1071, -0.0037, 0.1048, 0.20570000000000002, -0.0685, 0.20420000000000002, -0.0082, -0.0012000000000000001, 0.1107, 0.0054, 0.10690000000000001, 0.1951, -0.0528, 0.2008, -0.0247, -0.0009000000000000001, 0.1078, -0.002, 0.1112000000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(3) + -1.5 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + ... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010110", "0001111", "1110100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18918426610075506) q[0];
rz(0.2919537192208965) q[0];
rx(0.4810650186364632) q[1];
rz(-0.019737535732542) q[1];
rx(0.1581470822463457) q[2];
rz(0.18507238845676) q[2];
rx(0.19651381894384531) q[3];
rz(0.017897352292445046) q[3];
rx(-0.14240065279774547) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
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,
-2,
-1.5,
-1,
0,
-1.5
] | 0.975333 | [
0.189184266100755,
0.2553099534249179,
0.48106501863646317,
0.08095348011942079,
0.15814708224634566,
0.07805784566311892,
0.1965138189438453,
0.0715330194042118,
-0.1424006527977455,
0.021067744483425476,
0.19124261920954627,
0.16672162864071166,
0.49114334463222076,
-0.1410362624806891,
... | {
"n_parameters": 129,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 10 |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 80.57596397399902} | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"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... | [
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-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
1d579e37a468bd880bcb1092848cc668 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [36863, 4095], "expectation_value": -34.88295018519618, "params": [1.4935, 0.0068000000000000005, 1.4824000000000002, 0.0007, -0.0026000000000000003, 0.0089, -0.0026000000000000003, 0.0078000000000000005, 2.1098, 0.007200000000000001, 2.1048, 0.0047, 2.1092, 0.0049, 2.1011, 0.0017000000000000001, 2.103, 0.00... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * ... | 18 | 16 | 1 | {"smallest_eigenvalues": [-54.24999999999907], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.249999999998444, "smallest_bitstrings": ["1111000000000000"], "largest_eigenvalue": 125.75000000000047} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIIIIIIIZ",
"IIIIIIZZIIIIIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIZIIIIIZII",
"IIIIIIZIIIIIIZII",
"IIIIIII... | [
0.5,
2,
1,
1,
0.5,
2,
0.5,
0.25,
1,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
0.5,
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-1,
2,
-0.5,
1,
2,
1,
2,
1,
2,
-1,
-2,
-1,
0.5,
1,
0.5,
1,
-0.5,
-1,
-0.5,
2,
0.5,
1,
0.5,
1,
2,
... | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
d7a525ce4c2e3aa682dbfbc5ee640032 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [25, 19], "expectation_value": -3.9890654178560507, "params": null, "bitstrings": ["1100110", "1101100"], "total_optimization_steps": 31, "probabilities": [0.060236228906038886, 0.8645372940585687], "optimization_time": 29.47954487800598} | 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(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
0,
-0.5,
0
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
5034f358b60bb2416ead39a148c379a9 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [90, 92], "expectation_value": -0.25021943769620775, "params": [[-0.052700000000000004], [0.067]], "bitstrings": ["1110100101", "1110100011"], "total_optimization_steps": 10, "probabilities": [0.0010868216371181928, 0.001086821637118193], "optimization_time": 3.3269903659820557} | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111101011", "1111000011", "1111000101", "1110100011", "1110100101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
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-1,
1,
-1,
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0.5,
0.5,
0.5,
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-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
068d3bad9f69d5321ba5a0ffd5a4cd7a | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [107, 75], "expectation_value": -5.825951971435496, "params": [0.0025, -0.6864, -0.0023, -0.5411, 1.2038, 0.0019, 0.7253000000000001, -0.33840000000000003, 0.1568, -0.11570000000000001, 1.2102000000000002, -0.0019, 0.32030000000000003, -0.0184, 1.1959, -0.0039000000000000003, 1.1956, -0.0038, 0.0025, 0.1124,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * Z(1) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010101", "111100100", "010011101", "110110100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07544292943601) q[0];
rz(0.7894708537304815) q[0];
rx(-0.051555541923761154) q[1];
rz(0.9525317512689604) q[1];
rx(1.6331459208728416) q[2];
rz(1.4347606176604648) q[2];
rx(0.12705344240682717) q[3];
rz(1.161312695745914) q[3];
rx(0.2739455290241524) q[4];
rz(1.379... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"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,
0.5,
0.5,
-2.5,
-1,
-0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.975164 | [
0.07544292943600998,
-0.7813254730644149,
-0.051555541923761154,
-0.6182645755259353,
1.6331459208728416,
-0.136035709134432,
0.12705344240682717,
-0.40948363104898294,
0.27394552902415253,
-0.1912205681234192,
1.494449325691701,
0.14080272026578072,
0.3058594078087411,
0.11255702795243419... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
56a95211eb667a81e1a8a35b31fe7ef7 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [44, 300], "expectation_value": -4.512282271406188, "params": [0.8047000000000001, -0.0038, 0.8036000000000001, 0.0078000000000000005, -0.0039000000000000003, 0.4752, -0.009000000000000001, 0.0058000000000000005, 0.7169, 0.4718, 0.7063, 0.0038, 0.8, 0.48660000000000003, 0.7893, 0.0077, -0.007, 0.4701, -0.004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010011", "010111001", "010110011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5123624599938879) q[0];
rz(0.23663146459042883) q[0];
rx(-0.22143223709335358) q[1];
rz(-0.18500348141782552) q[1];
cx q[1], q[0];
rz(-0.20616032457907324) q[0];
cx q[1], q[0];
rx(1.3958275918770606) q[0];
rz(0.3636028842373877) q[0];
rx(0.24630667404213244) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"IZIIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"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,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-2,
-1,
-1.5,
-0.5,
-0.5
] | 0.975416 | [
1.5123624599938879,
0.030471140011355764,
-0.22143223709335358,
-0.18500348141782552,
1.0293279200319378,
1.6245541234080232,
1.9943782757549546,
0.7078472776779062,
0.003593088832278407,
0.10929739523008136,
2.0469332375601645,
0.21211695904670033,
2.0895514832978126,
-0.2494591086491562,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 38 |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [30, 27], "expectation_value": -3.4998990606636267, "params": null, "bitstrings": ["100001", "100100"], "total_optimization_steps": 25, "probabilities": [1.6414427502403502e-05, 0.9999303742828826], "optimization_time": 15.834552526473999} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
622d839e3a993053d188056ec230b393 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [248, 251], "expectation_value": -8.8375268108783, "params": null, "bitstrings": ["00000111", "00000100"], "total_optimization_steps": 81, "probabilities": [0.1967063872351871, 0.5897523032785279], "optimization_time": 92.67220211029053} | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.08746819744785468) q[0];
h q[1];
h q[2];
ry(0.7557136738944998) q[2];
h q[3];
ry(-0.026052888384864047) q[3];
cx q[1], q[3];
ry(0.026052888384864047) q[3];
cx q[1], q[3];
cx q[3], q[0];
ry(1.489103817443877) q[1];
cx q[1], q[2];
ry(-0.7557136738944998) q[2]... | null | {"node": 6} | {"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(1.5706) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.9742 | [
-0.05210577676972809,
1.489103817443877,
1.5114273477889997,
0.17493639489570936,
0.7716576166382672,
2.3234066334381076,
2.024459377772184,
0.2839448729267997,
-1.1699202441567242,
-0.20551372774737423,
-0.673069837730026,
-0.24032692467230005,
0.6527422891376282,
0.06709001280053276,
0... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 134 |
3107297605987101856 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 3], [2, 3], [0, 7], [8, 1], [5, 7], [0, 5], [2, 7], [5, 6], [1, 4], [1, 5]]} | {"states": [0, 170], "expectation_value": 0.40482197024987826, "params": [0.6025, 0.0035, 0.5976, 0.0026000000000000003, 0.6061000000000001, 0.0043, 0.6034, 0.0018000000000000002, 0.5997, -0.005200000000000001, 0.5994, 0.009600000000000001, 0.6066, 0.0022, 0.6089, 0.0009000000000000001, 0.6018, 0.0015, 0.60230000000000... | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["111001000", "111000101", "111000100", "101011001", "101011000", "101010101", "000111010", "000111011", "010100111", "000110111",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.24338526756378928) q[0];
rz(1.3775286711832244) q[0];
rx(1.7438166557555914) q[1];
rz(1.4005726728400862) q[1];
rx(0.5142596008944468) q[2];
rz(1.5520132917567944) q[2];
rx(1.2779392895288917) q[3];
rz(1.6459959252222838) q[3];
rx(0.14217536573378592) q[4];
rz(1.78... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIIIZIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII"
] | [
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
] | 0.974041 | [
0.24338526756378925,
-0.193267655611672,
1.7438166557555916,
-0.17022365395480996,
0.5142596008944468,
-0.018783035038102337,
1.2779392895288917,
0.07519959842738755,
0.14217536573378592,
0.21700841349356806,
1.2816996439890047,
-0.1649551535726996,
-0.20257561495223203,
-0.437930511158727... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 87 |
b63683304276bb9759c183d77afbd99f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [83, 375], "expectation_value": -2.438163861557097, "params": [[0.1781], [-0.1787]], "bitstrings": ["1110101100", "1010001000"], "total_optimization_steps": 20, "probabilities": [0.003678609875439282, 0.00378037072215804], "optimization_time": 2.5953595638275146} | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(9)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010101100", "1010101000", "1010001000", "1110101100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.09504320849519382) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.027774743620237862) q[7];
cx q[2], q[7];
cx q[2], q[6];
rz(-0.09504320849519382) q[6];
cx q[2], q[6];
cx q[7], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"ZIIIIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"IIIZIIIIII"... | [
-0.5,
0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.25,
-0.75,
1,
0.25,
-1.25,
1,
1.25,
1.25,
-1.5
] | 0.734698 | [
-0.09504320849519382,
1.5360339152938265,
-0.027774743620237862,
-0.030614796250925946,
-0.15682308254643457,
1.548215441544909,
1.5590699032758932,
-1.0872226949595853,
1.5348188669251264,
-0.592193906439294,
-1.3193684011363638
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 280 |
4f1459804fbfe90f6b55ff417ea39134 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [3991, 4023], "expectation_value": -3.492143317640293, "params": [0.0843, 0.2797, 0.08070000000000001, 0.2852, 0.0635, 0.29960000000000003, 0.060200000000000004, 0.2972, 0.5005000000000001, 0.0219, 0.49160000000000004, 0.0637, 0.49350000000000005, -0.0022, 0.4979, -0.003, 0.49150000000000005, 0.0028, 0.4929,... | 0.5 * (Z(0) @ Z(1)) + 0.03125 * (Z(0) @ Z(2)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(2) @ Z(3)) + 0.03125 * (Z(2) @ Z(4)) + 0.03125 * (Z(2) @ Z(5)) + 0.03125 * (Z(6) @ Z(2)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z... | 7 | 14 | 3 | {"smallest_eigenvalues": [-4.281250000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.281249999999999, "smallest_bitstrings": ["11000001001000"], "largest_eigenvalue": 5.718750000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.6249541505534822) q[0];
rz(0.29574196597272184) q[0];
rx(0.18602301801291943) q[1];
rz(0.3286716223420502) q[1];
cx q[1], q[0];
rz(-0.0003671257503804065) q[0];
cx q[1], q[0];
rz(-1.5787466917811948) q[0];
ry(0.539719186262081) q[0];
rz(1.8599659408043827) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIIIIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIZII",
"IIIIIIIIZIIZII",
"IIIIIIIZIIIZII",
"IIIIIIIIIZZIII",
"IIIIIIIIZIZIII",
"IIIIIIIZIIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIZIZIIII",
"IIIIIIIZZIIIII"... | [
0.5,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
... | 0.970855 | [
0.6249541505534824,
0.2953748402223417,
0.18602301801291943,
0.3286716223420502,
0.3979084555329145,
0.18302345114246685,
0.5016820616606871,
-0.0017851574524236358,
0.526187757812079,
-0.03409699676499954,
0.585288876579458,
0.003588422681991492,
0.39955915671984105,
-0.04626085797511217,... | {
"n_parameters": 181,
"n_qubits": 14,
"optimal_eigenvalue": -4.281250000000003,
"target_ratio": 0.97,
"target_value": -4.152812500000002
} | 43 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [445, 413], "expectation_value": -4.274452267677799, "params": [0.8019000000000001, 0.0448, 0.8257, 0.1291, 0.3673, 0.332, 0.3826, 0.38020000000000004, 0.8160000000000001, 0.15560000000000002, 0.7398, -0.056600000000000004, 0.8172, 0.1995, 0.3986, 0.3511, 0.7962, 0.0618, 0.8046000000000001, 0.0337, 0.8013, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
5259436266872542542 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 6, 7], [4, 6, 7], [8, 1, 4, 6], [3, 4], [8, 5], [1, 2, 3], [0, 4], [0, 1], [8, 1, 7], [8, 2, 3, 6], [3, 6, 7], [0, 3], [1, 5]]} | {"states": [165, 181], "expectation_value": -3.3497675746435656, "params": [0.3871, 0.16110000000000002, 0.1683, 0.0046, 1.4005, -0.1723, 1.3923, 0.0049, 0.9405, 0.3225, 0.37920000000000004, 0.0028, 1.3909, -0.1869, 1.3926, 0.006200000000000001, 1.3977000000000002, 0.3639, 0.756, 0.0088, 0.7071000000000001, -0.12480000... | 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(8)) + 0.41666666666666663 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6666666666666665, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.3948636922245886) q[0];
rz(1.9278478244993877) q[0];
rx(1.349703325939089) q[1];
rz(1.5624791655157058) q[1];
rx(0.83186510329638) q[2];
rz(1.3362866359671948) q[2];
rx(1.9965861096596813) q[3];
rz(1.6559188371472704) q[3];
rx(2.1116919374517344) q[4];
rz(1.5318896... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIIZ",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIZIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIZZIII",
"IIIIIZIZI",
"... | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.41666666666666663,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.... | 0.972783 | [
0.3948636922245886,
0.357051497704491,
1.349703325939089,
-0.008317161279191467,
0.83186510329638,
-0.23450969082770248,
1.9965861096596815,
0.08512251035237324,
2.1116919374517344,
-0.03890671450406946,
0.13664697984152788,
0.3401979669459975,
1.8327610614214562,
0.15310399372243225,
0.... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.7500000000000004,
"target_ratio": 0.97,
"target_value": -3.6375
} | 90 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -26.817181322780023, "params": [[0.0233, 0.007, -0.0005], [-0.07150000000000001, -0.07400000000000001, -0.0692]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.008181674245037903, 0.01115561980169403], "optimization_time": 6.507... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
811faa0eb7e8f774a66387c1001cc10e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [127, 126], "expectation_value": -2.4709305268602377, "params": [[-0.0711], [0.07010000000000001]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.013911417427012967, 0.01419019046968228], "optimization_time": 3.001479148864746} | -2.0 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.8311178113767357) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.555190500497277) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.555190500497277) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.28779460635648235) q[4];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1)... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-2,
-3,
-3,
1,
-3,
-3,
0.5,
1,
-3,
-2.5,
0.5,
1,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.558614 | [
0.8311178113767357,
0.555190500497277,
0.28779460635648235,
0.03981855449496439,
0.702577020390051,
1.5707963119145365,
1.0561344446412864
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 197 |
fbed7eb759f2b5af245b5b20e03cfb23 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [34, 6], "expectation_value": -3.2224192947331325, "params": [[-0.1607, -0.139], [0.17830000000000001, 0.1656]], "bitstrings": ["011101", "111001"], "total_optimization_steps": 20, "probabilities": [0.05132761081565567, 0.051327610815655685], "optimization_time": 3.5222666263580322} | 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(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"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,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
15981867526b451292338ffade4ee93e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [21, 42], "expectation_value": -0.1244206743286165, "params": [[0.06570000000000001, -0.059800000000000006], [-0.0765, 0.0235]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.01780832946105205, 0.017808329461052052], "optimization_time": 3.3013956546783447} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
9c35af834c4afdbeb26c716a2c76ebbb | 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": [1992, 1864], "expectation_value": -159.41519306190432, "params": [0.0025, 0.007200000000000001, 2.7986, 0.0031000000000000003, 2.8011, 0.0048000000000000004, 2.8054, 0.0025, 1.5030000000000001, 0.0099, 2.8044000000000002, 0.0025, 0.7923, 0.0039000000000000003, -0.002, 0.0013000000000000002, 2.8085, 0.0015, ... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -157.5, "smallest_bitstrings": ["100010110111"], "largest_eigenvalue": 278.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04481252613613069) q[0];
rz(-0.16316476439337002) q[0];
rx(2.823605085495812) q[1];
rz(0.023717232841425254) q[1];
rx(3.0757026859266863) q[2];
rz(-0.2383877375818393) q[2];
rx(3.275755460674703) q[3];
rz(-0.04481252613613068) q[3];
rx(0.5965883065070263) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IIIIIIIZIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IZIIIIIIIZII",
"ZIIIIIIIZIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
29.5,
29.5,
16,
28,
39.5,
3.5,
14.5,
-6.5,
-4.5,
-6.5,
-5.5,
-13.5
] | 0.975342 | [
-0.04481252613613068,
-0.2072291494369372,
2.823605085495812,
0.023717232841425254,
3.0757026859266863,
-0.2383877375818393,
3.275755460674703,
0.5965883065070263,
-0.10431173650920217,
3.189653228479879,
0.215246783524162,
0.030761977595482937,
-0.09304242244801583,
-0.105139540435648,
... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -180.5,
"target_ratio": 0.97,
"target_value": -175.085
} | 10 |
e6dcc679f346fee1e07ac4716aca0ef9 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [951, 823], "expectation_value": -2.4984417735873308, "params": [0.07350000000000001, 0.2001, 0.0775, 0.2028, 0.398, 0.0545, 0.40240000000000004, 0.015600000000000001, 0.4012, -0.0016, 0.39990000000000003, -0.0008, 0.2615, 0.0993, 0.26430000000000003, 0.0989, 0.1787, 0.10840000000000001, 0.18080000000000002,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 7 | 11 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.875, "smallest_bitstrings": ["10100001001", "10001001010", "10001001001", "10010001001", "10001011000", "10010001100", "01001101000", "01001001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.028503831468203275) q[0];
rz(-0.10362092651680754) q[0];
rx(0.9233846672713318) q[1];
rz(0.24167564281798679) q[1];
cx q[1], q[0];
rz(0.03815898860023738) q[0];
cx q[1], q[0];
rz(-2.7472867258428852) q[0];
ry(0.11592368327167377) q[0];
rz(-2.7042633486215424) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIIZZIIZII",
"IIIZIZIIZII",
"IIZIIZIIZII",
"IIIZZIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
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,
0.25,... | 0.971242 | [
-0.02850383146820327,
-0.06546193791656917,
0.9233846672713318,
0.24167564281798679,
0.28608481863747226,
0.30020679484410007,
0.2678995514618403,
0.1440586631229151,
0.16133321035573775,
0.24675180249442963,
0.7588566108051312,
0.016637820876501425,
0.4892797280219301,
0.5627081866905341,... | {
"n_parameters": 146,
"n_qubits": 11,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 33 |
d5ba60497bf54de061e291b1c3ba948c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [56, 41], "expectation_value": -5.499897963445029, "params": null, "bitstrings": ["1000111", "1010110"], "total_optimization_steps": 27, "probabilities": [1.7123537480267174e-05, 0.9999481407329411], "optimization_time": 29.97275948524475} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(3) + -1.5 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010110", "0001111", "1110100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18918426610075506) q[0];
rz(0.2919537192208965) q[0];
rx(0.4810650186364632) q[1];
rz(-0.019737535732542) q[1];
rx(0.1581470822463457) q[2];
rz(0.18507238845676) q[2];
rx(0.19651381894384531) q[3];
rz(0.017897352292445046) q[3];
rx(-0.14240065279774547) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
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,
-2,
-1.5,
-1,
0,
-1.5
] | 0.975333 | [
0.189184266100755,
0.2553099534249179,
0.48106501863646317,
0.08095348011942079,
0.15814708224634566,
0.07805784566311892,
0.1965138189438453,
0.0715330194042118,
-0.1424006527977455,
0.021067744483425476,
0.19124261920954627,
0.16672162864071166,
0.49114334463222076,
-0.1410362624806891,
... | {
"n_parameters": 129,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 10 |
53d33cb4ccb5557b4d8aeafa4d7797ea | 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": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -37.79173768022558, "params": [0.0016, -0.3427, 0.0009000000000000001, 0.004200000000000001, 0.0027, -0.5690000000000001, 0.0027, 0.0092, 0.8084, 0.15510000000000002, 0.8052, 0.004, 0.0028, -0.5630000000000001, 0.0028, 0.0049, 0.0028, -0.5697, 0.0028, 0.0029000000000000002, 0.0... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-38.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 33.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.009065642242346919) q[0];
rz(-0.08524904693502666) q[0];
rx(0.08519725339973541) q[1];
rz(-0.7677848858192164) q[1];
rx(1.015813470882517) q[2];
rz(0.3293822425249786) q[2];
rx(-0.012799617417805333) q[3];
rz(-0.5131955128529846) q[3];
rx(-0.012799617417805336) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIIIIIZIIZI",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IZIIIIIZIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IIIIIIIZZ... | [
-1.5,
-2,
-1.25,
-1,
-1.75,
-1,
-1,
-2.25,
-0.75,
-0.5,
-1,
-1.5,
-0.25,
-0.75,
-1,
-0.75,
-1.5,
-2.25,
-1.5,
4.75,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-3,
-1,
-1.5,
-1,
-0.75,
-0.75,
-1.75,
-2,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
2.25,
-3.75,
1.... | 0.97447 | [
0.00906564224234692,
-0.16453551600433342,
0.0851972533997354,
-0.737273211790258,
1.015813470882517,
0.07915997429045854,
-0.012799617417805336,
-0.4830713891950154,
-0.4161369157962344,
-0.004294995431733905,
-0.6720583475284372,
-0.63811873923974,
0.047786664444622956,
-0.46570347022328... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -38.75,
"target_ratio": 0.97,
"target_value": -37.5875
} | 1 |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.7752813157049505, "params": [[-0.049100000000000005, -0.048400000000000006, -0.0609, -0.0717], [0.0637, 0.0577, 0.061900000000000004, 0.06910000000000001]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.10505854769896719, 0.122810344160673... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
-4605592367896543099 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [0, 6], [2, 4], [1, 3]]} | {"states": [96, 100], "expectation_value": -0.009696796710232852, "params": [[[1.6262, 0.0053], [1.6531, 0.009300000000000001], [1.4929000000000001, 0.0009000000000000001], [1.4771, 0.0083], [1.6253, 0.008700000000000001], [1.5072, 0.008], [1.4985000000000002, 0.0078000000000000005]]], "bitstrings": ["0011111", "001101... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110010", "1100100", "1001100", "1011010", "0011011", "0001101", "0100101", "0110011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.3911131284549936) q[0];
rz(1.3255856939733657) q[0];
rx(3.262633562373867) q[1];
rz(-0.4996276241312546) q[1];
rx(-0.03174770825480841) q[2];
rz(0.007651761693343417) q[2];
rx(0.046669904474717944) q[3];
rz(2.0102761306040495) q[3];
rx(3.3135975486680103) 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] 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",
"ZIIIIIZ",
"IIZIZII",
"IIIZIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.981682 | [
3.3911131284549936,
1.3255856939733657,
3.262633562373867,
-0.4996276241312546,
-0.03174770825480841,
0.007651761693343417,
0.046669904474717944,
2.0102761306040495,
3.3135975486680103,
2.095797877009067,
-0.07247481214982962,
-1.7257886907561995,
-0.05197472629494436,
0.9386840392846941
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 28 |
dc7c56053090d6c4ddaad32b137666dc | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21929, 21930], "expectation_value": -1.71124332040257, "params": null, "bitstrings": ["1010101001010110", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12028667893975072, 0.2724398499985977], "optimization_time": 937.3581440448761} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444445 * (Z(4) @ Z(0)) + 0.000462962962962963 * (Z(4) @ Z(2)) + -0.0006944444444444445 * (Z(5) @ Z(1)) + 0.000462962962962963 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000694... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592157], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0217592592591935, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.016512345679014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.2952309551127634) q[0];
h q[1];
cx q[1], q[0];
ry(0.2952309551127634) q[0];
cx q[1], q[0];
ry(-0.12995335875947003) q[1];
cx q[0], q[1];
ry(0.12995335875947003) q[1];
cx q[0], q[1];
ry(0.8132259070063251) q[1];
ry(-0.24855653362450403) q[0];
h q[2];
ry(-0... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.0006944444444444445,
0.000462962962962963,
-0.0006944444444444445,
0.000462962962962963,
0.25,
-0.0006944444444444445,
-0.0009259259259259261,
-0.0006944444444444445,
-0.0006944444444444445,
-0.0009259259259259261,
-0.0006944... | 0.970424 | [
-1.200406988408786,
-0.48459956803620413,
-0.5904619102255269,
-1.3302496732744287,
-0.6793084237634487,
-0.4883864790689744,
-1.231552630074303,
1.1340301496213105,
-0.5999915382601475,
0.7840806308617031,
-0.3502270439963315,
1.0351544798693124,
0.7452188135340346,
-0.14042586002022842,
... | {
"n_parameters": 93,
"n_qubits": 16,
"optimal_eigenvalue": -2.0217592592592157,
"target_ratio": 0.97,
"target_value": -1.9611064814814392
} | 70 |
dd1ea2ee61722851179474867130abf8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [254, 4094], "expectation_value": -16.097025473327086, "params": null, "bitstrings": ["111100000001", "000000000001"], "total_optimization_steps": 100, "probabilities": [0.05192081284533334, 0.4279254446452004], "optimization_time": 222.81380891799927} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -1.5 * (Z(10) @ Z(8)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.8678033057838501) q[1];
h q[2];
ry(0.15768528901504372) q[2];
cx q[0], q[2];
ry(-0.15768528901504372) q[2];
cx q[0], q[2];
ry(1.3920258601889957) q[0];
h q[3];
ry(0.8678033057838501) q[3];
cx q[2], q[3];
ry(-0.8678033057838501) q[3];
cx q[2], q[3];... | null | {"node": 12} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[0], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZ... | [
-2,
-2,
-2,
1,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970048 | [
0.31537057803008745,
1.7356066115677002,
2.7840517203779913,
-1.673801589818186,
-1.4066420630205232,
3.772618526745687,
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1.5451378518628716,
0.07205754861967331,
1.5863365122132245,
3.5191008850442826,
2.8988101018583095,
-0.12396038140207942,
1.362697080264161,
3.2... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 426 |
4902923573965946841 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 6, 7, 10], [0, 1, 3, 5, 8], [8, 4], [1, 11, 5, 7], [9, 10, 6], [9, 3], [1, 2, 10, 7], [8, 9, 5, 7], [2, 6], [9, 10, 2, 5], [4, 5, 6, 7, 10], [3, 4], [0, 4, 7, 9, 10], [2, 5, 7], [1, 7, 9, 10, 11], [1, 2, 3, 5, 11], [0, 1, 8, 9, 11], [9, 6, 1], [1, ... | {"states": [1886, 2910], "expectation_value": -5.217973815879754, "params": [[[-1.6449, 0.01, 0.0011, 0.0021000000000000003], [1.4354, -0.0025, 0.7701, 0.0085], [2.991, 0.008400000000000001, 0.0013000000000000002, 0.008], [0.0018000000000000002, 0.27990000000000004, 1.5690000000000002, 0.004200000000000001], [-0.0028, ... | 0.1 * (Z(0) @ Z(6)) + 0.1 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(0)) + 0.23333333333333334 * (Z(9) @ Z(6)) + 0.1 * (Z(9) @ Z(0)) + 0.23333333333333334 * (Z(9) @ Z(8)) + 0.15000000000000002 * (Z(2) @ Z(6)) + 0.1 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(2) @ Z(8)) + 0.2833333333333333 * (Z(2) @ Z(9)) + 0.1 * (Z(1) @ Z(0)) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-5.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.316666666666668, "smallest_bitstrings": ["010010100001"], "largest_eigenvalue": 19.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.9121391682339597) q[0];
rz(-0.011844588785202004) q[0];
ry(1.5907852344093605) q[1];
rz(-0.017305522208959007) q[1];
cz q[1], q[0];
ry(1.3588036979942435) q[1];
ry(3.0912507920713708) q[2];
rz(-0.11626407203561995) q[2];
ry(0.0939171235416219) q[3];
rz(0.29191300... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIIIIIZ",
"IIIZIZIIIIII",
"IIIZIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"IIIZIIIIIZII",
"IIZIIIIIIZII",
"IIIIIIIIIIZZ",
"IIIZIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIZZIIIII",
"IIIIIIZIIIIZ",
"IIIZIIZIIIII",
"IIZIIIZII... | [
0.1,
0.1,
0.05,
0.23333333333333334,
0.1,
0.23333333333333334,
0.15000000000000002,
0.1,
0.26666666666666666,
0.2833333333333333,
0.1,
0.21666666666666667,
0.26666666666666666,
0.13333333333333333,
0.5,
0.05,
0.13333333333333333,
0.13333333333333333,
0.15000000000000002,
0.1333... | 0.973613 | [
-1.9121391682339597,
-0.011844588785202004,
1.5907852344093605,
-0.017305522208959007,
3.0912507920713708,
-0.11626407203561995,
0.0939171235416219,
0.2919130006452185,
-0.05370415964282516,
0.008018565951963635,
0.8446556574464241,
-0.06806351431409806,
-0.11608547186576537,
1.01886848218... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -5.35,
"target_ratio": 0.97,
"target_value": -5.1895
} | 2 |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [27871, 27869], "expectation_value": -9.961155201909698, "params": [[[0.7899, -0.0024000000000000002], [0.7895000000000001, 0.0026000000000000003], [0.2384, 0.37220000000000003], [0.7861, 0.0023], [0.7946000000000001, 0.0032], [0.2393, 0.3735], [0.24300000000000002, 0.3773], [0.7671, 0.0018000000000000002], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 4 | {"smallest_eigenvalues": [-11.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.999999999999948, "smallest_bitstrings": ["001001100100010"], "largest_eigenvalue": 33.000000000000064} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
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,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.2... | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [25, 28], "expectation_value": -4.499937482213634, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 24, "probabilities": [1.6356118803656356e-05, 0.9999687418097178], "optimization_time": 17.012782335281372} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "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(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
f4058862d2cc91e963663e2c69858d5f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1622, 1654], "expectation_value": -2.390231711364417, "params": [[[0.2036, -0.225, 0.0015, 0.0061], [0.046, 0.4308, 0.2049, -0.3119], [0.18960000000000002, 0.366, -0.14700000000000002, 0.1409], [0.2175, 0.0631, 0.2411, 0.2291], [0.0956, -0.23900000000000002, -0.0219, -0.2861], [-0.0032, 0.08310000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(6) @ Z(4)... | 11 | 11 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["00110010010", "00110001100", "00110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIIZIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625... | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
415e9c4b894952859f5e50d01e57c345 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [1020, 1023], "expectation_value": -13.074649212231554, "params": null, "bitstrings": ["0000000011", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12224980317644203, 0.3851288124478117], "optimization_time": 213.30408549308777} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.5219217942087042) q[0];
h q[1];
h q[2];
ry(0.6569051387250595) q[2];
cx q[1], q[2];
ry(-0.6569051387250595) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.5219217942087042) q[0];
cx q[1], q[0];
ry(0.45992294827755803) q[1];
h q[3];
ry(0.6569051387250595) q[3];
... | 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];\ncry(1.5708) q[1], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.908304 | [
1.313810277450119,
1.0438435884174084,
1.681627772638002,
0.7814045237988448,
0.9198458965551161,
2.330310681959373,
1.6003895242543675,
1.224108490724933,
1.056701387798683,
-0.9987805555007387,
-1.039433093820015,
1.2284883338969845,
0.05139719736503675,
0.4503865966461291,
0.556151267... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
aff16494716409c93ae0c6b924acb428 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [33, 1], "expectation_value": -1.473174888281337, "params": [[-0.0849], [0.0799]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012550469856693999, 0.014254713834612711], "optimization_time": 3.1854827404022217} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | 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(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
549ddf61b33c747b7d039a2118793eec | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [0, 119], "expectation_value": -9.38498417908514, "params": [0.23240000000000002, 0.28850000000000003, 0.251, 1.2542, -0.8795000000000001, 1.6127, 0.18710000000000002, 1.3879000000000001, -0.909, 1.2485000000000002, 0.2518, 0.3677, -1.0249000000000001, 1.2643, -0.4541, 1.7064000000000001, -0.7292000000000001... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.06616974502287365) q[0];
ry(-0.01217220851318944) q[1];
ry(0.043602881688537334) q[2];
ry(-2.0733318929166966) q[3];
ry(0.14013504785004716) q[4];
ry(-0.0047168065748929245) q[5];
ry(0.0034084174370931824) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971722 | [
0.06616974502287365,
-0.01217220851318944,
0.043602881688537334,
-2.0733318929166966,
0.14013504785004716,
-0.0047168065748929245,
0.0034084174370931824,
3.2375834599948186,
0.014423834630379575,
-0.07832767106901686,
-0.04434139838083944,
-0.09502719019849129
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 14 |
24ad81747c6bd1903cd58d045c41656e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [219, 218], "expectation_value": -66.56548832889297, "params": [0.9625, 0.0047, 3.1392, 0.009000000000000001, 3.1399000000000004, 0.0051, 0.18530000000000002, 0.0078000000000000005, 3.1389, 0.0041, 3.1398, 0.00030000000000000003, 0.19920000000000002, 0.0037, 3.1399000000000004, 0.0005, 1.5613000000000001, 0.... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"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,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
2658bf5f7163af35b242065cf609fa3e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -16.166547529518713, "params": [[[0.0025, 1.6042], [-0.0028, 0.0025], [0.0016, 0.0025], [0.002, 0.0018000000000000002], [0.0016, 0.0017000000000000001], [0.0035, 0.0026000000000000003], [0.0032, -0.0031000000000000003], [0.0019, 0.0022], [0.0034000000000000002, 0.0021000000000... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + -... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.832472417537512) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.7971816339594742) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.24622362379039842) q[2];
cx q[1], q[2];
rz(0.7556814700497831) q[1];
rx(0.89641900505... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
-2,
0.5,
0.5,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.510669 | [
0.832472417537512,
0.7971816339594742,
0.24622362379039842,
0.7556814700497831,
0.10410580387811075,
0.8964190050573607
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 158 |
-5487587761968938408 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 1, 2, 4], [0, 2, 3, 5, 7], [2, 6, 7], [1, 4, 6], [1, 2, 7], [1, 3, 7], [0, 3, 6, 7], [1, 3, 6], [0, 1, 5, 6], [2, 3, 6], [0, 1, 5, 7], [1, 2, 6], [0, 2, 4, 5, 6]]} | {"states": [248, 252], "expectation_value": -1.7905068328734057, "params": [[-0.2604], [0.2711]], "bitstrings": ["00000111", "00000011"], "total_optimization_steps": 30, "probabilities": [0.011372920492188639, 0.011494895121383327], "optimization_time": 3.598179340362549} | 0.5 * (Z(4) @ Z(7)) + 0.21666666666666667 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.41666666666666663 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 0.3833333333333333 * (Z(2) @ Z(7)) + 0.13333333333333333 * (Z(2) @ Z(4)) + 0.18333333333333335 * (Z(2) @ Z(0)) + 0.41666666666666663 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 13.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(-2.810934396956592) q[4];
cx q[7], q[4];
cx q[7], q[0];
rz(-0.06765910965800437) q[0];
cx q[7], q[0];
cx q[4], q[0];
rz(0.027975816564523664) q[0];
cx q[4], q[0];
cx q[7], q[1];
rz(-0.0281... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIIIZZ",
"ZIIIIZII",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZZIIIIII",
"IZIZIIII",
"IZIIIII... | [
0.5,
0.21666666666666667,
0.13333333333333333,
0.41666666666666663,
0.25,
0.25,
0.3833333333333333,
0.13333333333333333,
0.18333333333333335,
0.41666666666666663,
0.3,
0.13333333333333333,
0.3333333333333333,
0.21666666666666667,
0.13333333333333333,
0.05,
0.26666666666666666,
0.16... | 0.971662 | [
-2.810934396956592,
-0.06765910965800437,
0.027975816564523664,
-0.028190382898983676,
0.014975656812291335,
-0.13314079034902263,
-0.05934335715483292,
-0.0758518684211414,
-0.028291784921232604,
0.11586200067058579,
0.015846030160527616,
0.10497178451625465,
-0.07538906407021367,
-0.1267... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -3.5666666666666664,
"target_ratio": 0.97,
"target_value": -3.4596666666666662
} | 155 |
3b78dc42bd8c215915d202e2b5a1a5ee | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -16.30625562618933, "params": [[[-0.9405, 1.1106], [0.0007, 1.1024], [-0.0028, -0.0014], [-0.0026000000000000003, -0.0013000000000000002], [-0.0028, 0.0012000000000000001], [-0.0026000000000000003, -0.0024000000000000002], [-0.0027, 0.0023], [-0.0033, -0.0015], [-0.00260000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(10)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.11682973979856652) q[0];
ry(-0.08282046667648771) q[1];
ry(0.1408957556706078) q[2];
ry(-0.07495813301399132) q[3];
ry(0.1408957556706078) q[4];
ry(-0.07495813301399132) q[5];
ry(0.017198472577832448) q[6];
ry(0.42156235858299207) q[7];
ry(-0.07495813301399132) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZIZI",
"IIIIIIZIZIIII",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZ... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
-1.5,
-2,
-1,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974049 | [
-0.11682973979856652,
-0.08282046667648771,
0.1408957556706078,
-0.07495813301399132,
0.017198472577832448,
0.42156235858299207,
-0.010833598428765273,
-0.07615578025269384,
0.07326024447451931,
3.0318495388572013,
-0.03294751160340921,
-0.06704445009938213,
0.07846507956415069,
-0.0164622... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 34 |
7213bcdac492d012065ef417f31c81b5 | 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": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [380, 220], "expectation_value": -28.73925084263861, "params": [[-0.0333, -0.004200000000000001, 0.013600000000000001, -0.0154], [0.0626, 0.0429, 0.0403, 0.0574]], "bitstrings": ["010000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.009052970236712043, 0.011625603578674957], "optimiz... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
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,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
7785e3e7ad6fcc746d4b86c67fd57c41 | 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": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 21.896162509918213} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [2, 1], "expectation_value": -9.363444202838483, "params": null, "bitstrings": ["1101", "1110"], "total_optimization_steps": 18, "probabilities": [0.174792396062558, 0.6619641889393559], "optimization_time": 8.3427255153656} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 6 | 4 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | 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.... | null | {"k": 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(-0.5729) q[0];\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",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 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 |
5480518061682492689 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 7], [0, 1, 2, 3, 5, 6], [5, 6, 7], [0, 1, 3, 6, 7], [0, 4, 5], [0, 2, 3, 5, 7]]} | {"states": [197, 213], "expectation_value": -1.2145362019565082, "params": [[[3.1602, 0.0018000000000000002], [3.1471, 0.0051], [0.9755, 0.002], [1.5912000000000002, 0.0029000000000000002], [0.9433, 0.0059], [3.1355, 0.008], [0.9333, 0.0056], [3.1447000000000003, 0.0049]]], "bitstrings": ["00111010", "00101010"], "tota... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.26666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.13333333333333336 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(7)) + 0.08333333333333334 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(7)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6000000000000008], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6000000000000003, "smallest_bitstrings": ["00101010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-3.029410503770708) q[0];
rz(-pi) q[0];
ry(-1.9565606228291097) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.24193834224765304) q[2];
h q[3];
ry(0.24416488857043528) q[3];
h q[4];
ry(-0.18458770256582088) q[4];
h q[5];
cx q[5], q[4];
ry(0.18458770256582088) q[4];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZZIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIIZ",
"IZIIIIZ... | [
0.16666666666666666,
0.16666666666666666,
0.26666666666666666,
0.16666666666666666,
0.13333333333333336,
0.1,
0.08333333333333334,
0.05,
0.08333333333333334,
0.08333333333333334,
0.05,
0.08333333333333334,
0.03333333333333333,
0.16666666666666666,
0.08333333333333334,
0.216666666666666... | 0.973045 | [
1.4663469217003136,
1.2759156770625661,
0.3653969998264905,
-0.36917540513164177,
0.24416488857043528,
-0.34981365887939775,
0.5051991512772351,
-0.48262604947678023,
0.4203918216032893,
-0.49856784115993835,
0.4487490597445549,
-0.7451954166030941,
0.27158043051085995,
-0.3526249950073892... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.6000000000000008,
"target_ratio": 0.97,
"target_value": -1.5520000000000007
} | 1 |
06ec716f7c6c63b1aba8eac15fa44d26 | 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": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 65.43047523498535} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | 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[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | 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(1.5706) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -0.017975437752148445, "params": [[0.0038, 0.0989, 0.0006000000000000001, 0.0027, 0.10210000000000001, 0.0081], [0.0048000000000000004, 0.09910000000000001, -0.0012000000000000001, 0.0014, 0.1029, 0.0037]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "pr... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 9 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "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];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h 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] 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
06ec716f7c6c63b1aba8eac15fa44d26 | 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": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 55.476125955581665} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | 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[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | 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(1.5706) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
f6bf9eb78e416e542b1aca1ba9154b7e | 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": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [280, 152], "expectation_value": -7.050405341837985, "params": [0.3976, 0.3924, 0.3931, 0.3951, -0.0166, -0.0165, -0.0132, -0.0151, 0.39690000000000003, 0.3935, 0.4006, 0.4056, 0.0014, 0.0034000000000000002, 0.2614, 0.2571, -0.021, -0.013900000000000001, 0.3895, 0.3925, 0.3976, 0.3977, -0.013900000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["101110101", "101100111", "011100111", "011110101"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.1762944358779652) q[0];
rz(pi/2) q[0];
ry(1.0210033296743881) q[1];
ry(-0.04245120006854196) q[2];
ry(-0.10642861075853652) q[3];
ry(1.5211800549064285) q[4];
ry(0.3452995687761321) q[5];
ry(-0.2148488319595548) q[6];
ry(-0.12260275244475874) q[7];
ry(-0.379358840... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZIZI",
"IIIIIZIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIIIZI",
"... | [
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,
-1.5,
-1,
-2,
-2.5,
-2.5,
-1.5,
-1,
-1.5,
-2
] | 0.978307 | [
-0.1762944358779652,
1.0210033296743881,
-0.04245120006854196,
-0.10642861075853652,
1.5211800549064285,
0.3452995687761321,
-0.2148488319595548,
-0.12260275244475874,
-0.3793588401635318,
-0.013180258496116787,
0.13817178198278263,
-0.2035986289367586,
0.11205008520327944,
0.2593191598357... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 30 |
-4580947759044572170 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 5, 6, 7], [0, 4, 5, 6, 7, 8], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 6, 8], [0, 1, 5, 6, 7, 8], [2, 3, 5, 7, 8]]} | {"states": [442, 474], "expectation_value": -0.5676872376552491, "params": [[0.3584], [-0.34650000000000003]], "bitstrings": ["001000101", "000100101"], "total_optimization_steps": 40, "probabilities": [0.003587680064772816, 0.003587680064772816], "optimization_time": 4.54646635055542} | 0.075 * (Z(0) @ Z(1)) + 0.041666666666666664 * (Z(2) @ Z(1)) + 0.041666666666666664 * (Z(2) @ Z(0)) + 0.041666666666666664 * (Z(3) @ Z(1)) + 0.041666666666666664 * (Z(3) @ Z(0)) + 0.09166666666666667 * (Z(3) @ Z(2)) + 0.075 * (Z(5) @ Z(1)) + 0.10833333333333334 * (Z(5) @ Z(0)) + 0.09166666666666667 * (Z(5) @ Z(2)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.2011904761904766, -1.2011904761904766], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2011904761904761, "smallest_bitstrings": ["000100101", "001000101"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06405615916335843) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06361717047861815) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06361717047861815) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06361717047861815) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.075,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.09166666666666667,
0.075,
0.10833333333333334,
0.09166666666666667,
0.09166666666666667,
0.075,
0.10833333333333334,
0.041666666666666664,
0.041666666666666664,
0.10833333333333334,
0.14047... | 0.890248 | [
0.06405615916335843,
0.06361717047861815,
0.01628862641794947,
0.3017713620476217,
-0.00020374817537564672,
0.009634526744024088,
-0.00013084415604180282,
0.0002079368422624541,
0.04846796252219891,
0.0006807921065812637,
-0.002507895828608412,
-0.001472997476220436,
-0.010463128571804122,
... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -1.2011904761904766,
"target_ratio": 0.97,
"target_value": -1.1651547619047622
} | 473 |
d51551ef49ab16c1773b893a34232d66 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [615, 631], "expectation_value": -1.2101287005189478, "params": [0.016900000000000002, 0.7322000000000001, 1.1076000000000001, 0.4582, 0.7128, 0.3175, 0.7244, 0.3275, 0.9042, 0.315, 0.9063, 0.3116, 0.8643000000000001, 0.34890000000000004, 0.7121000000000001, 0.3402, 1.1041, 0.18460000000000001, 1.103, -0.000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.1... | 16 | 11 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.375, "smallest_bitstrings": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.124530870919482) q[0];
rz(-0.004649587621104394) q[0];
ry(0.3503364885672979) q[1];
ry(0.4363833160797733) q[2];
ry(-0.21009776761496446) q[3];
ry(-0.004026963516477381) q[4];
ry(-0.11117628987008028) q[5];
ry(0.6632958846104882) q[6];
ry(0.43617936388643014) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIZIIIIIIIZ",
"IIIIIZIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IZIIIZIIZII",
"ZIIIIZIIZII",
"ZZIIIIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
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,
0.125,
0.125,
0.125,
0.1... | 0.976469 | [
-0.124530870919482,
0.3503364885672979,
0.4363833160797733,
-0.21009776761496446,
-0.004026963516477381,
-0.11117628987008028,
0.6632958846104882,
0.43617936388643014,
0.6757452946023749,
0.20988322160420594,
0.3068251460174917,
-0.009299175242208788,
0.043553255296154766,
-0.1145778758457... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 18 |
f72bb48eb202f2eb9cb4caf8d78817c6 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3615], "expectation_value": -1.090458504841708, "params": [[-0.0543], [0.06430000000000001]], "bitstrings": ["000000000000", "000111100000"], "total_optimization_steps": 10, "probabilities": [0.0003730310575711547, 0.0003831495293894066], "optimization_time": 5.280259370803833} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000111100000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1271225706932455) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1271225706932455) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.22141668335859066) q[1];
rx(0.984254105351109) q[1];
rz(1.1271225706932455) q[2];
cx q[0], q[2];
rz(0.22141... | 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[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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
-1.5,
-1.5,
-2,
-2.5,
1,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.600524 | [
1.1271225706932455,
0.7714386954419764,
0.6051408830099266,
0.12770345337350833,
0.22141668335859077,
0.6728486627823295,
0.9842541053511089
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 173 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.771500269760986, "params": [[[0.0033, 0.0078000000000000005], [1.1855, 0.0098], [0.0027, 0.0046], [0.0027, 0.0012000000000000001], [0.0023, 0.0014], [1.6139000000000001, 0.005200000000000001]]], "bitstrings": ["111111", "111110"], "total_optimization_steps": 160, "probabilitie... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
b45c7886b6d5b695cfa484b65d1853c9 | 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": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [235, 234], "expectation_value": -3.1928955937819765, "params": [0.4995, 0.004, 0.5057, -0.0038, 0.5018, 0.0123, 0.1004, 0.1703, 0.5055000000000001, -0.0049, -0.0128, -0.0903, 0.5055000000000001, -0.0032, 0.3022, 0.09330000000000001, 0.5059, 0.0053, 0.5033, 0.0111, 0.5032, 0.0067, 0.0893, 0.1749, 0.5066, 0.0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(5) + 0.0 * Z(0) + -0.5 * Z(7) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 4 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00010101", "01010100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.419855414980338) q[0];
rz(1.5728238051068182) q[0];
rx(0.6168999630961257) q[1];
rz(1.6148013944901427) q[1];
rx(0.5784713014337503) q[2];
rz(1.5235208984243354) q[2];
rx(-0.04990436730747234) q[3];
rz(1.6550043527142044) q[3];
rx(0.8102674074275424) q[4];
rz(1.565... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIIIZZII",
"IZIIZIII",
"IIZZIIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
0,
-0.5,
-0.5,
0,
0
] | 0.975991 | [
0.419855414980338,
0.0020274783119211826,
0.6168999630961256,
0.04400506769524628,
0.5784713014337504,
-0.04727542837056066,
-0.04990436730747233,
0.08420802591930777,
0.8102674074275424,
-0.005019262422138349,
0.2061948880285953,
0.012185179702996658,
-0.00976837391968921,
0.2499908932083... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 24 |
4774e3e9bff083e8c596e191efb212f5 | 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": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [44, 83], "expectation_value": -0.14312705519559485, "params": [[-0.08030000000000001], [0.0732]], "bitstrings": ["1010011", "0101100"], "total_optimization_steps": 10, "probabilities": [0.00903282771080735, 0.009201951752865754], "optimization_time": 2.843167304992676} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001101", "0101100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.05144027602921499) q[0];
rz(-0.633646882601123) q[0];
rx(-0.0024804407851094115) q[1];
rz(0.6892744924000755) q[1];
rx(0.08365365082144713) q[2];
rz(1.13457283684229) q[2];
rx(1.4648354273348037) q[3];
rz(0.4461302464749024) q[3];
rx(-0.27298286778384845) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[4], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIIIIZI",
"IIZIZII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"IZIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-0.5,
-1,
-0.5
] | 0.980371 | [
0.051440276029215,
-0.3025585059328266,
-0.002480440785109412,
1.1848639060780362,
0.08365365082144713,
0.5296914195656056,
1.4648354273348039,
0.3738380779636798,
-0.2729828677838484,
-0.351154508518934,
1.7437105114695473,
-0.0752921498709388,
1.6806354720762,
0.26290747257993824,
0.10... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
-2568259880308180167 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2], [2, 3], [2, 5], [4, 6], [2, 6], [0, 3]]} | {"states": [60, 99], "expectation_value": -0.07748115188976722, "params": [[0.0755], [-0.0811]], "bitstrings": ["1000011", "0011100"], "total_optimization_steps": 10, "probabilities": [0.008681943133489693, 0.008683369915620699], "optimization_time": 1.5502252578735352} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110100", "0011100", "0110100", "1000011"], "largest_eigenvalue": 4.0} | 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[1];
rz(0.3067692718913381) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.3067692718913381) q[6];
cx q[3], q[6];
cx q[1], q[6];
cx q[3], q[0];
rz(0.6693539302483695) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0
] | 0.515754 | [
0.3067692718913381,
0.6693539302483695,
-0.1335951659386469,
-0.7073823420185018
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 110 |
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