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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3ab147cc948c972495cc9d6b1a04d6d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [7, 39], "expectation_value": -1.4903239991058301, "params": [0.0021000000000000003, 0.0037, 1.6009, 0.0082, 0.5405, 0.0051, 0.5259, 0.001, 1.6123, 0.0097, 1.6136000000000001, 0.0091, 1.6111, 0.0033, 0.0008, 0.0041, 0.0023, 0.0013000000000000002, 0.0005, 0.0073, 0.0001], "bitstrings": ["1111000", "1011000"],... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIZIIZZ",
"IZIIIZZ",
"ZIIIIZZ",
"IZZIIIZ",
"ZIZIIIZ",
"ZZIIIIZ",
"IZZIIZI",
"ZIZIIZI",
"ZZIIIZI",
"ZZZIIII",
"IZZIIZZ",
"ZIZ... | [
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
-0.5625,
-0.062... | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
-2180152617687465947 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 9], [3, 6], [0, 2, 4, 6, 9], [1, 6, 9, 10, 11], [0, 1, 5, 8, 10, 11]]} | {"states": [3641, 3645], "expectation_value": -1.2526377087945146, "params": [[[0.002, -0.0028], [3.1439000000000004, 0.0018000000000000002], [0.0025, 3.1448], [-0.0023, 3.1381], [-0.0024000000000000002, -0.0029000000000000002], [-1.3303, 0.028900000000000002], [0.0029000000000000002, 3.1083000000000003], [-0.002400000... | 0.05714285714285714 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.023809523809523808 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.0238095238... | 15 | 12 | 1 | {"smallest_eigenvalues": [-1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.0617965169247367) q[0];
ry(3.1360643599454385) q[1];
ry(-0.015241271513967806) q[2];
ry(0.037107714797380974) q[3];
ry(-0.04017218172739659) q[4];
ry(-1.197557411079338) q[5];
ry(-0.00021703565152956378) q[6];
ry(-0.04017218172739659) q[7];
ry(-3.1162963885390305... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIZI... | [
0.05714285714285714,
0.023809523809523808,
0.07380952380952381,
0.05714285714285714,
0.05714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.05714285714285714,
0.05714285714285714,
0.023809523809523808,
0.05714285... | 0.971054 | [
-0.0617965169247367,
3.1360643599454385,
-0.015241271513967806,
0.037107714797380974,
-0.04017218172739659,
-1.197557411079338,
-0.00021703565152956378,
-3.1162963885390305,
1.6771630350836622,
-0.16444898853222056,
3.0868014144955196,
0.012908683582751747,
-0.0007518863100874212,
3.178827... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -1.2904761904761908,
"target_ratio": 0.97,
"target_value": -1.251761904761905
} | 12 |
a7fbc66e4dd2789fb7960f2eaa128bd5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [1023, 888], "expectation_value": -0.11141815119030561, "params": [[0.0145], [-0.0142]], "bitstrings": ["0000000000", "0010000111"], "total_optimization_steps": 10, "probabilities": [0.0010096918825775593, 0.0010112437514875306], "optimization_time": 17.022861003875732} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -2.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6266781132424288) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.25784629528800934) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8375717399337574) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.5814922417857223) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI"... | [
-2.5,
1,
-2,
-3,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
1,
1
] | 0.548008 | [
-0.6266781132424288,
-0.25784629528800934,
-0.8375717399337574,
-0.5814922417857223,
-0.20319770067745155,
-1.182002449490695,
-0.9797783081521324
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 192 |
8591281054201604876 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3], [1, 5], [3, 4], [0, 6]]} | {"states": [86, 116], "expectation_value": -0.4437475055770835, "params": [[0.28290000000000004], [-0.28700000000000003]], "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 30, "probabilities": [0.017233180508484273, 0.017233180508484273], "optimization_time": 1.29353666305542} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001011", "0101001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.2080287321096655) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.2080287321096655) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.208028732109665) q[2];
rx(-0.7912817440097908) q[2];
rz(0.2080287321096655) q[3];
cx q[0], q[3];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIZI",
"IIZZIII",
"ZIIIIIZ",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0,
0,
0,
0
] | 0.835237 | [
0.2080287321096655,
1.5039891107514556,
-0.06647531415909143,
-0.7912817440097908
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 112 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -0.04824714892341368, "params": [[0.066], [-0.050100000000000006]], "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008490532750774729, 0.008490532750774729], "optimization_time": 3.2506103515625} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | 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[2], q[0];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
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,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.06147690108384779, "params": [[-0.0635], [0.076]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.03337606546004163, 0.033926446075190256], "optimization_time": 0.7294845581054688} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(x0) q[1];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
ceba285572e61720bd2865b4542d41ef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [4092, 4088], "expectation_value": -27.393309030724318, "params": [[[-0.0023, -3.1433], [-0.002, -0.002], [-0.0019, 0.0019], [-0.0029000000000000002, -0.002], [-0.0028, -0.0032], [-0.0031000000000000003, -0.0029000000000000002], [0.002, -0.0025], [-0.003, -0.0025], [-0.0026000000000000003, -0.0028], [1.6524,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.... | 15 | 12 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07377870626237668) q[0];
ry(0.10467154295354653) q[1];
ry(0.11169375851369125) q[2];
ry(0.05732697470414899) q[3];
ry(0.006558896643000342) q[4];
ry(0.052077945717567166) q[5];
ry(-0.09424981968180796) q[6];
ry(0.0024977978432773537) q[7];
ry(0.26118611367439803)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIII... | [
-2,
-2,
-2,
-2,
-2,
1,
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.97102 | [
-0.07377870626237668,
0.10467154295354653,
0.11169375851369125,
0.05732697470414899,
0.006558896643000342,
0.052077945717567166,
-0.09424981968180796,
0.0024977978432773537,
0.26118611367439803,
2.874080554118763,
0.05703981953806369,
-0.03952165194741101,
-3.2108247040228015,
-0.020803480... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 21 |
15a5f37f6b324be94a7fa874923284e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -13.418284572614745, "params": [[0.0409, 0.018600000000000002, 0.009300000000000001], [-0.0698, -0.06520000000000001, -0.054200000000000005]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010894916640828495, 0.011468279910591852], "... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
fbbd8eb0c295edadedab0040e35f46b9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [372, 370], "expectation_value": -115.07046375864395, "params": [[[1.5727, 0.3295], [0.0019, 0.3347], [1.5687, 0.8756], [0.002, 0.8804000000000001], [1.8331000000000002, 0.0021000000000000003], [0.4187, -0.0019], [-1.8325, 0.0017000000000000001], [0.0034000000000000002, 0.9724], [3.1443000000000003, 1.569000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(4)) + -6.5 * Z(3) + 9.0 * Z(2) + 23.0 * Z(6) + -4.5 * Z(1) + 14.5 * Z(5) + 10.5 * Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010001101"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4267263955014178) q[0];
ry(0.02301220187845336) q[1];
ry(1.6035277181185734) q[2];
ry(-0.03340657313318903) q[3];
ry(1.882999607989855) q[4];
ry(0.395012404474026) q[5];
ry(-1.8542496832858695) q[6];
ry(0.002633278130645702) q[7];
ry(3.3819328507721846) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIZIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-6.5,
9,
23,
-4.5,
14.5,
10.5,
22,
7,
-3,
-4,
-12
] | 0.972413 | [
1.4267263955014178,
0.02301220187845336,
1.6035277181185734,
-0.03340657313318903,
1.882999607989855,
0.395012404474026,
-1.8542496832858695,
0.002633278130645702,
3.3819328507721846,
0.11784818941466907,
1.1258832213656946,
0.18710649863280168,
0.20382089100836806,
0.6970976327636124,
0... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -117.5,
"target_ratio": 0.97,
"target_value": -113.975
} | 18 |
50ae2479d5601754158b9fc59193bb01 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 90], "expectation_value": -0.12445109953014823, "params": [[0.014100000000000001, -0.0626], [-0.0565, 0.058300000000000005]], "bitstrings": ["1101010", "0100101"], "total_optimization_steps": 10, "probabilities": [0.008448657725763347, 0.00868207080944421], "optimization_time": 2.7425901889801025} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"ZZIIIII",
"IIIIZZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
0,
0
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
119f5bb57fe729fc61765e50d3ad4135 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [609, 865], "expectation_value": -102.5498570440345, "params": [[0.0879, 0.8112, 0.2285, -0.07350000000000001, 0.7579, 0.2326, 0.08370000000000001, -0.0024000000000000002, 0.0005, 0.0028, 0.8019000000000001], [-0.1409, 0.8916000000000001, 0.896, -0.3044, 0.9016000000000001, 0.8939, 0.5192, -0.0023, 0.0026000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(9) @ Z(10)) + 17.0 * Z(2) + 24.0 * Z(1) + 2.0 ... | 10 | 11 | 3 | {"smallest_eigenvalues": [-153.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["10010011110"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2274011954523155) q[0];
ry(0.7636404489091297) q[1];
ry(-0.025586360427524647) q[2];
ry(0.2048456851027259) q[3];
ry(0.5937268288658395) q[4];
ry(0.37216995236809536) q[5];
ry(-0.6513751460182607) q[6];
ry(-0.011222984269961503) q[7];
ry(-0.2162216335096102) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIIIIZII",
"IIZIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17,
24,
2,
0.5,
24,
17,
11.5,
-7.5,
-5.5,
8.5,
-7.5
] | 0.972088 | [
0.2274011954523155,
0.7636404489091297,
-0.025586360427524647,
0.2048456851027259,
0.5937268288658395,
0.37216995236809536,
-0.6513751460182607,
-0.011222984269961503,
-0.2162216335096102,
0.3135839373279041,
0.5551151346101016,
-0.31248889492659543,
1.1465854279827394,
2.3654202969728324,... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -153,
"target_ratio": 0.97,
"target_value": -148.41
} | 41 |
b2a86e79e509d0d76748a475959a4d60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -16.970238326291383, "params": [[-0.028200000000000003, 0.0363, 0.0261], [0.0543, -0.034800000000000005, -0.057600000000000005]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009962269322946811, 0.010748121188147754], "optimizati... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | 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(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
ffad3b964ead217a06cbfc18be3f05e0 | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [397, 236], "expectation_value": -2.1048850995478925, "params": [[-0.023100000000000002], [0.0229]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.002296754057086534, 0.0023943195979764798], "optimization_time": 4.003812551498413} | 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(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0557124833227797e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.0557124833227797e-08) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"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,
10,
7.5,
14,
5.5,
5.5,
11,
10,
3,
0.5
] | 0.771429 | [
-1.0557124833227797e-8,
-1.5707963643738432,
1.5707963617189826,
-1.570796307281642,
-1.5707963861865957,
-1.570796298809207,
1.570796328010783,
1.5707964018973435,
1.570796323776294
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -70,
"target_ratio": 0.97,
"target_value": -67.89999999999999
} | 263 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [35, 28], "expectation_value": -2.2563894198955015, "params": [[[1.5678, -0.2651], [0.9958, 1.1336000000000002], [1.576, -1.5435], [1.5746, -1.5757], [1.5695000000000001, 0.7583000000000001], [1.5691000000000002, -1.4753]]], "bitstrings": ["011100", "100011"], "total_optimization_steps": 210, "probabilities"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 15 | 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[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 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;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
dcc9b09a52c0b2b7dcb6687470059460 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [172, 173], "expectation_value": -3.439426309766524, "params": [1.8058, -0.0063, -0.0047, -0.06430000000000001, 1.8029000000000002, -0.0036000000000000003, 0.738, -0.002, 1.8025, -0.2954, 1.8005, 0.0034000000000000002, 0.4884, 0.5944, 1.8097, 0.0074, -1.7095, -0.0035, -1.7726000000000002, -0.7418, 0.5006, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7) | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["01010010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.045800077397178) q[0];
rz(1.48114317174963) q[0];
rx(-0.06357362683342231) q[1];
rz(1.7570661794643296) q[1];
rx(2.7300338703575777) q[2];
rz(1.6530400970905017) q[2];
rx(1.0078112222549216) q[3];
rz(1.71031553049533) q[3];
rx(2.7027009210888213) q[4];
rz(1.8036060... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-1,
-0.5,
0
] | 0.979395 | [
3.045800077397178,
-0.08965315504526661,
-0.0635736268334223,
0.1862698526694327,
2.7300338703575777,
0.0822437702956052,
1.0078112222549216,
0.13951920370043314,
2.7027009210888213,
0.2328097317203184,
2.9001907397721665,
-0.3870970455720777,
0.009053408144946068,
1.5946910173991626,
3.... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 22 |
3c01ab65d1a16535fdf3b1017527aaee | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -5.521202343636244, "params": [-0.0012000000000000001, -0.10650000000000001, 0.0014, -0.1359, -0.0006000000000000001, -0.1477, 0.0031000000000000003, -0.15810000000000002, 0.0027, -0.14600000000000002, 0.004200000000000001, -0.151, 0.005200000000000001, -0.1, 0.002100000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.09647183539808978) q[0];
rz(0.012969763073826357) q[0];
rx(0.13224787220138887) q[1];
rz(-0.2204894045894079) q[1];
rx(0.11762480440877823) q[2];
rz(-0.28305630692413697) q[2];
rx(-0.17770753533360978) q[3];
rz(0.09791137727854604) q[3];
rx(0.014884824492929506) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
0.5,
-0.25,
0,
-0.25,
0,
-0.25,
-0.25,
-0.5,
0.5,
0.5,
0.25
] | 0.976815 | [
-0.09647183539808979,
0.05130335289939203,
0.13224787220138884,
-0.2779581639629566,
0.11762480440877826,
-0.18992485692879646,
-0.17770753533360983,
0.09130083512832282,
0.014884824492929508,
0.2343849771601969,
-0.11903788167930729,
-0.11736341591321332,
-0.30761109139788007,
0.067742524... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
29e20e1b5f946c33b32370f6ba5b02af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.37793465516484, "params": [-0.0037, 0.0029000000000000002, -0.004, -0.0017000000000000001, -0.0038, -0.0004, 0.3073, 0.30210000000000004, -0.0067, -0.0017000000000000001, -0.0019, -0.0012000000000000001, -0.0011, -0.0038, 0.10890000000000001, 0.194, -0.0028, -0.0082, 0.0515... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.... | 14 | 12 | 3 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.21339719581214925) q[0];
rz(pi/2) q[0];
ry(0.16112701788019781) q[1];
ry(-0.1741930176279861) q[2];
ry(0.3185327243754466) q[3];
ry(0.04309262364825121) q[4];
ry(0.02866007162598696) q[5];
ry(-0.009254302915217024) q[6];
ry(0.37720427191283173) q[7];
ry(-0.0486838... | 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIIIIIIZ... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.... | 0.972235 | [
0.21339719581214925,
0.16112701788019781,
-0.1741930176279861,
0.3185327243754466,
0.04309262364825121,
0.02866007162598696,
-0.009254302915217024,
0.37720427191283173,
-0.048683864270376215,
0.08154015711331503,
0.09656654578099143,
-0.023913394771946705,
0.2542650498573426,
0.13613566952... | {
"n_parameters": 121,
"n_qubits": 12,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 1 |
34d5dc2e9aad35b904c913d8064475cf | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 5}, {"sour... | {"states": [26, 90], "expectation_value": -3.061993061226323, "params": [0.0239, 0.024200000000000003, 0.0357, 0.042800000000000005, 0.23420000000000002, 0.23470000000000002, 0.025, 0.030600000000000002, 0.3024, 0.2969, 0.3003, 0.298, 0.1184, 0.1213, 0.28700000000000003, 0.28900000000000003, -0.006500000000000001, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(8) + -0.5 * Z(6) + -0.5 * Z(7) | 13 | 9 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110101", "001110011", "101100101", "101100011", "110001110", "110001101", "110100011", "110001011", "110100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6494726613948478) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.2282545894292129) q[1];
rz(-pi) q[2];
ry(-1.5758659650345728) q[2];
h q[3];
ry(63.96144940718184) q[3];
cx q[3], q[1];
ry(-3.5090997176923766) q[1];
cx q[3], q[1];
ry(5.855094360550592) 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] 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": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.972058 | [
63.806887745058965,
17.338271785296804,
63.96144940718184,
7.018199435384753,
11.710188721101185,
4.5318791449975,
1.5633390008792403,
-0.12690827253619685,
0.47597344806441794,
-0.3120845216869001,
0.35421875147235715,
-0.06875244303751611,
0.2948575552749345,
-0.08224529955035009,
0.46... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 121 |
7201704138146815142 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 5, 6, 9, 11], [1, 3, 4, 6], [0, 3, 4, 5, 8, 9, 10], [3, 5, 6, 10, 11], [0, 1, 2, 4, 6, 7, 8, 9, 11], [4, 7, 8, 9, 10], [1, 4, 5, 7, 9, 10], [0, 9, 3, 7], [0, 1, 3, 4, 5, 7, 8, 10, 11], [1, 2, 4, 5, 7, 8, 9], [2, 11, 5, 7], [2, 3, 4, 5, 7, 8, 9],... | {"states": [3068, 509], "expectation_value": -3.0731221264482453, "params": [[[1.5738, 1.4205], [0.0218, 1.4121000000000001], [-1.5876000000000001, 1.5477], [-0.030000000000000002, 1.5986], [0.1676, 0.1208], [0.4521, 0.24500000000000002], [0.2805, 0.7566], [0.6703, 0.2685], [0.6828000000000001, 0.5844], [0.6792, 0.9018... | 0.07539682539682539 * (Z(0) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(0)) + 0.20198412698412696 * (Z(5) @ Z(1)) + 0.11865079365079365 * (Z(5) @ Z(0)) + 0.18293650793650792 * (Z(5) @ Z(3)) + 0.251984126984127 * (Z(6) @ Z(1)) + 0.061507936507936505 * (Z(6) @ Z(0)) + 0.204761904761904... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.121428571428572], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.978571428571428, "smallest_bitstrings": ["111000000010"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5706332458164611) q[0];
ry(1.5690230348972685) q[1];
ry(-1.5704157195883683) q[2];
ry(4.224458990762288e-05) q[3];
ry(0.0012129924223310009) q[4];
ry(0.0007201264768723946) q[5];
ry(-0.0003661423595658158) q[6];
ry(0.004876285782776703) q[7];
ry(0.0056606784084445... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZ... | [
0.07539682539682539,
0.16865079365079363,
0.16865079365079363,
0.20198412698412696,
0.11865079365079365,
0.18293650793650792,
0.251984126984127,
0.061507936507936505,
0.20476190476190476,
0.38095238095238093,
0.14246031746031745,
0.16865079365079363,
0.22619047619047616,
0.2095238095238095... | 0.872513 | [
1.5706332458164611,
1.5690230348972685,
-1.5704157195883683,
0.00004224458990762288,
0.0012129924223310009,
0.0007201264768723946,
-0.0003661423595658158,
0.004876285782776703,
0.005660678408444517,
0.013741358640521301,
1.437929394016919,
1.5686708716649762,
1.5711792874143373,
1.57045123... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.121428571428572,
"target_ratio": 0.97,
"target_value": -3.9977857142857145
} | 500 |
6240facbcac03ac60847995c8221b912 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -0.7998581513762016, "params": [[0.055600000000000004, 0.056400000000000006, -0.0534], [-0.055, -0.0616, -0.0022]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003205375084983591, 0.003403173319912987], "optimization_time": 6.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0046977098774302496) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.012269863936092744) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.01562822642382422) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.013100666109334625... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.25,
0.5,
-0.25,
-2.5,
0.5,
0.25,
-0.25,
0.5,
0,
1.25
] | 0.97208 | [
-0.0046977098774302496,
0.012269863936092744,
0.01562822642382422,
0.013100666109334625,
0.5369349309225615,
1.6360153546291618,
1.5825548729034598,
1.6537585943579427,
2.153860546154924,
1.4736137931055673,
-1.538693100576994,
1.3642954316225193,
0.016598763102727992,
-0.5286694379827523,... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 369 |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [2693, 2709], "expectation_value": -0.5852169781141637, "params": [0.2948, 0.017400000000000002, 0.2892, 0.01, 0.1017, -0.0164, 0.10010000000000001, -0.0375, 0.2886, 0.022600000000000002, 0.2903, 0.013900000000000001, 0.0981, -0.0334, 0.10020000000000001, -0.048600000000000004, 0.2403, 0.004200000000000001, ... | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 5 | 12 | 4 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5158163265306124} | 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] 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006377551020408162,
-0.0006377551020408162,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.0007653061224489796,
0.0007653061224489796,
0.000510204081632653,
0.0007653061224489796,
0.0007653061224489796,
0.00051020408163... | 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 |
cc9adb9c1d6eb8a7e18184b9ea3c977a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [267, 299], "expectation_value": -4.143594968352035, "params": [0.8022, -0.023, 0.5491, -0.1842, 0.0027, 0.2978, 0.8105, 0.0006000000000000001, 0.33580000000000004, 0.019, 0.8072, -0.002, 0.0165, 0.2436, 0.7992, 0.0007, 0.8081, 0.0002, 0.8028000000000001, -0.018600000000000002, 0.4818, -0.23520000000000002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(8) + ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5048677592626267) q[0];
rz(1.6823828761870008) q[0];
rx(0.2492354971303828) q[1];
rz(2.0862711402792) q[1];
rx(-0.009197848902555103) q[2];
rz(2.120607483371323) q[2];
rx(1.3588495482899254) q[3];
rz(1.335231618013558) q[3];
rx(0.0047546112748243505) q[4];
rz(1.817... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIZIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIZIII"
] | [
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,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.974237 | [
1.5048677592626267,
0.11158654939210423,
0.2492354971303828,
0.515474813484303,
-0.009197848902555102,
0.5498111565764269,
1.3588495482899254,
-0.23556470878133887,
0.00475461127482435,
0.24691238373856228,
1.5601866491793692,
-0.03647254047324347,
0.06295137429410727,
-0.34843894063829783... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 25 |
717427729600501566 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]} | {"states": [389, 453], "expectation_value": -2.037301223367641, "params": null, "bitstrings": ["001111010", "000111010"], "total_optimization_steps": 65, "probabilities": [0.07126927730965221, 0.6286670057308085], "optimization_time": 101.53100252151489} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["000111010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5891458344522875) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.06034977521682322) q[3];
h q[4];
ry(-0.3388112416957219) q[4];
cx q[1], q[4];
ry(0.3388112416957219) q[4];
cx q[1], q[4];
ry(1.3099294543825362) q[1];
cx q[0], q[1];
ry(-0.36884614911575636) q[1];
cx q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.19999999... | 0.975078 | [
1.5891458344522875,
-0.6776224833914438,
0.9410833052667799,
-0.8910065558609908,
0.6321481634948447,
-0.6363469215447972,
0.7376922982315127,
-0.3995494537925497,
0.5908908154325669,
-0.2281832457089468,
-0.25958583583887784,
0.3628176761478928,
-0.3157758351116737,
-0.10683431132083276,
... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 20 |
7dd0a85ae083861a7e6473750beb50c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1010, 754], "expectation_value": -2.807203052241903, "params": [3.0874, 0.0064, 1.4998, 0.0058000000000000005, 3.0887000000000002, 0.0007, 1.6693, 0.0053, 3.0599000000000003, 0.0005, 3.0954, 0.0026000000000000003, -0.0024000000000000002, 0.0079, 0.0022, 0.0044, 2.9774000000000003, 0.009600000000000001, 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... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
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,
0.25,
0.25... | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
2cd930b90c9acbaa9464962c3608d11c | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [224, 240], "expectation_value": -4.5095163957159885, "params": [0.7794000000000001, -0.0038, 0.8016000000000001, 0.0029000000000000002, 0.7808, -0.0032, -0.40040000000000003, -0.0007, 0.0024000000000000002, 0.5513, -0.0148, -0.34750000000000003, 0.0063, 0.5337000000000001, 0.0004, 0.5879, 0.7786000000000001... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(7) + -1... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6570218550985795) q[0];
rz(0.09753029749869135) q[0];
rx(0.876080257272196) q[1];
rz(-0.10937596978641118) q[1];
rx(0.7827996007745819) q[2];
rz(0.026558334849124954) q[2];
rx(-0.6753573781563615) q[3];
rz(-0.480105129964711) q[3];
rx(0.042011334881116476) 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": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIZII",
"ZZIIIIII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-1,
-1
] | 0.981246 | [
0.6570218550985794,
0.13469149604628683,
0.876080257272196,
-0.1083104139289489,
0.782799600774582,
0.03946118307891652,
-0.6753573781563617,
-0.06097868344094612,
0.04201133488111647,
0.3540148637082837,
-0.06317666465944206,
-0.23514180446945204,
-0.2716995482077318,
0.494436570239712,
... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
-540466935978038807 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [1, 2, 3], [0, 5, 6], [3, 7], [4, 5, 7], [1, 2, 6], [3, 5], [1, 6, 7], [0, 4], [1, 4, 7], [0, 1, 2], [4, 6], [2, 4]]} | {"states": [90, 167], "expectation_value": -0.17176342554180488, "params": [[0.07830000000000001], [-0.08320000000000001]], "bitstrings": ["10100101", "01011000"], "total_optimization_steps": 10, "probabilities": [0.004537086058714577, 0.004684329220786361], "optimization_time": 2.981811761856079} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.1666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333332, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.020698519694385534) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.020698519694385534) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.020698519694385534) q[1];
cx q[3], q[1];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIIZ",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIZIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"ZIIZIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
... | 0.484379 | [
-0.020698519694385534,
0.04882932874959342,
0.6902062317664986,
1.0763450479859118,
0.7459925692091719,
-0.8256815963120815
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -4.166666666666666,
"target_ratio": 0.97,
"target_value": -4.041666666666666
} | 179 |
3818ce8f8ec333f1e3cdd221545ea640 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -21.397429834290335, "params": [[-0.031, -0.012400000000000001, -0.0218, 0.014400000000000001], [0.0629, 0.0458, 0.0645, 0.044700000000000004]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01822125245882703, 0.025464381018916758... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
1.5,
15,
8.5,
9.5,
14,
17.5,
1.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
-8267579693471636242 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 10, 12], [8, 4], [3, 4, 6, 7, 9], [11, 5, 7], [2, 6], [2, 3, 5, 7, 9], [0, 10, 6, 7], [0, 3, 5, 8, 12], [0, 2], [8, 1], [0, 7, 8, 9, 12], [3, 6, 7, 10, 11]]} | {"states": [6991, 7119], "expectation_value": -3.2089477884126127, "params": [1.518, 0.0019, 1.5144, 0.0043, 1.3638000000000001, -0.0018000000000000002, 1.3014000000000001, 0.0063, 0.014, 0.7889, 0.0219, 0.003, 1.3717000000000001, 0.010700000000000001, 1.2278, -0.009300000000000001, 1.5790000000000002, -0.003, 1.579200... | 0.16666666666666666 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(2)) + 0.1 * (Z(8) @ Z(12)) + 0.5 * (Z(4) @ Z(8)) + 0.05 * (Z(3) @ Z(10)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(12)) + 0.05 * (Z(3) @ Z(8)) + 0.05 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(10)) + 0... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7166666666666672, "smallest_bitstrings": ["0010000110000"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.3183484338695968) q[0];
rz(1.4509458171337837) q[0];
rx(1.6849261849233979) q[1];
rz(-0.06230111510999069) q[1];
cx q[1], q[0];
ry(-0.1387358086704511) q[0];
cx q[1], q[0];
ry(1.8508714220761777) q[0];
rz(-1.5594681664138035) q[0];
rx(1.474800703618895) q[1];
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": []} | [
"IIZIIIIIIIZII",
"ZIZIIIIIIIIII",
"ZIIIIIIIIIZII",
"ZIIIZIIIIIIII",
"IIIIZIIIZIIII",
"IIZIIIIIIZIII",
"IIIIIIIIIZZII",
"ZIIIIIIIIZIII",
"IIIIZIIIIZIII",
"IIIIIIIIZZIII",
"IIZIIIZIIIIII",
"IIIIIIZIIIZII",
"IIIIIIZIZIIII",
"IIIIIIZIIZIII",
"IIZIIZIIIIIII",
"IIIIIZIIIIZII",
"ZIIIIZIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.13333333333333333,
0.5,
0.05,
0.1,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.15000000000000002,
0.18333333333333335,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
... | 0.970356 | [
1.3183484338695968,
-0.11985050966111248,
1.6849261849233979,
-0.06230111510999069,
0.14126436992389124,
0.9708361503402831,
1.1278985412780123,
-0.4053817450642663,
1.5355486955055548,
0.03695804589868992,
1.0248974722120814,
-0.3265730298067536,
1.5455365441551523,
0.0277269638437165,
... | {
"n_parameters": 61,
"n_qubits": 13,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 17 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.85951900482178} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"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(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
cf63e2458a0741acd2ef8c128602eb3a | 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": 4}, ... | {"states": [1786, 1722], "expectation_value": -3.0326230685247433, "params": [1.75, 0.0019, 2.7086, 0.0047, 0.48510000000000003, 0.0032, 2.7004, 0.0083, 1.5164, 0.0082, 2.697, 0.006500000000000001, 2.7004, 0.0079, 2.7085000000000004, 0.0058000000000000005, -0.0027, 0.0073, 2.7059, 0.0056, 0.1691, 0.009600000000000001, ... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00101000101", "00100011100", "00100010110", "00100010101", "01000010110", "01001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.125,
0.1... | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 14.7382652759552} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | 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]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
e4f5057259aaeddd1dd7f4f1ea49da8b | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [65, 1], "expectation_value": -1.8410192210227627, "params": [[0.0756], [-0.0834]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006933476326426773, 0.007157859159294722], "optimization_time": 1.9655706882476807} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.022546435908237288) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.14518918596484848) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.022546435908237288) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.7517255380687702) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII"
] | [
-1.25,
-1.5,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-1,
-0.75,
4.25,
1.5,
-0.25,
-3.25,
-1.5,
-0.25,
0.75,
-0.5,
3.5
] | 0.957735 | [
0.022546435908237288,
0.14518918596484848,
0.7517255380687702,
0.6453322187153919,
0.0005547510135491637,
0.01648942695497035,
-0.24567836598873122,
0.7103534844820352,
1.2276522599760762,
-0.7579580526703535,
-0.6595794244215516,
1.6514152238781217,
0.05475463053088248,
0.2385240506869008... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -3.7565627774083437, "params": [[-0.0641], [0.0737]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011231961193491779, 0.0116390387911577], "optimization_time": 2.994119644165039} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(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], ... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 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 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.057732902513585, "params": [[[0.0022, 0.0078000000000000005], [-0.0028, 0.0098], [-0.0015, 0.0046], [0.0028, 0.0012000000000000001], [1.6093000000000002, 0.0014]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.48074635455785764, 0.519... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
589a81c8fd04d28f25b3e8e25563f55c | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 71.76290464401245} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) 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[... | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
8909333385727859306 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 6, 7, 8, 9], [0, 1, 2, 4, 5, 7, 8, 9], [8, 9, 3]]} | {"states": [435, 443], "expectation_value": -0.6380233537358214, "params": [1.5846, 0.1048, 1.4983, 0.0094, 1.5923, 0.0816, 1.2414, 0.0035, 1.5810000000000002, -0.3302, 0.8194, 0.0044, 0.457, 0.0036000000000000003, 0.2504, 0.0032, 1.5916000000000001, 0.07680000000000001, 1.2378, 0.0059, 1.582, 0.0772, 1.231, 0.0067, 1.... | 0.03571428571428571 * (Z(0) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(1)) + 0.03571428571428571 * (Z(5) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(4)) + 0.017857142857142856 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857... | 6 | 10 | 1 | {"smallest_eigenvalues": [-0.6904761904761905, -0.6904761904761905, -0.6904761904761905, -0.6904761904761905], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6904761904761904, "smallest_bitstrings": ["0001100100", "0001010100", "1001000100", "0101000100"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8226683304937787) q[0];
rz(1.4774261538143705) q[0];
rx(2.1251375343784047) q[1];
rz(1.633428837621011) q[1];
rx(1.8989750925412783) q[2];
rz(1.3421602930141816) q[2];
rx(0.2446451761250972) q[3];
rz(1.7273837690238336) q[3];
rx(1.2905234994744685) q[4];
rz(1.7845... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII"... | [
0.03571428571428571,
0.03571428571428571,
0.03571428571428571,
0.03571428571428571,
0.03571428571428571,
0.03571428571428571,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.03571428571428571,
0.03571428571428571,
0.03571428571428571,
0.03571428571... | 0.971102 | [
1.8226683304937787,
-0.09337017298052548,
2.1251375343784047,
0.0626325108261142,
1.8989750925412783,
-0.22863603378071454,
0.24464517612509726,
0.15658744222893678,
1.2905234994744685,
0.21379107368094385,
2.2513528208274964,
0.12846945325495188,
2.1970076610234974,
-0.3561797387094371,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -0.6904761904761905,
"target_ratio": 0.97,
"target_value": -0.6697619047619048
} | 131 |
2cf6224a7b786ab8607e7cc5dbc62158 | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -1.2779050371189813, "params": [[0.0669, 0.0517, 0.0251, -0.0683], [-0.0775, -0.053500000000000006, -0.047400000000000005, -0.0002]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.01777559705491717, 0.018935565994404126], "optimization... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [74, 106], "expectation_value": -2.3768189729459364, "params": [[[-0.0165, 0.019200000000000002], [0.6082000000000001, 0.0024000000000000002], [0.6065, 0.015000000000000001], [0.09670000000000001, 0.036500000000000005], [0.6099, 0.1963], [0.3674, 0.2111], [-0.1537, 0.5798], [0.53, 0.6082000000000001]], [[0.5... | 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(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.057187703765313375) q[0];
rz(0.7690216135978227) q[0];
rx(1.209906049124608) q[1];
rz(-0.07290860364248924) q[1];
cx q[1], q[0];
rz(-0.028593851882656687) q[0];
cx q[1], q[0];
rx(0.05718770376531337) q[0];
rz(-0.6005090386584673) q[0];
rz(0.11078862637344898) 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
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,
0.5,
0.5,
... | 0.97207 | [
0.057187703765313375,
0.7404277617151661,
1.209906049124608,
-0.07290860364248924,
1.2903415687138335,
-0.07675919091913075,
0.10497633905354888,
-0.06733609960099873,
1.3402996070483726,
-0.03416843960718164,
0.03206647432155457,
0.5921790357738657,
1.793709390858471,
0.1755954028706419,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 21 |
5469aa9cf7b0e564781bf3502161421e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target":... | {"states": [511, 255], "expectation_value": -0.7787330123260148, "params": [[-0.0616], [0.0661]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002782311670772738, 0.0028278287410664943], "optimization_time": 2.2647321224212646} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(3.141592437712256) q[0];
ry(0.5979062205559135) q[0];
rz(1.5707965879846695) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(1.1228046896756043) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(1.1228046896756043) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.08027592993150989) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.556 | [
1.1228046896756043,
0.08027592993151006,
1.077115981954942,
0.19906124750355397,
1.5707964738220588,
0.972890106238999
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 162 |
c451d9585216e3f1c5bc89acfa5b77d8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [325, 327], "expectation_value": -60.4325017338025, "params": [[[0.012100000000000001, 0.0151], [0.1437, 0.07880000000000001], [0.7911, 0.34940000000000004], [-0.058800000000000005, 0.40140000000000003], [0.1178, -0.0373], [0.0974, 0.016300000000000002], [0.33240000000000003, 0.3628], [0.5801000000000001, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8) | 15 | 9 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 109.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0786364078723707) q[0];
ry(0.297096745685546) q[1];
ry(0.6293510276208054) q[2];
ry(0.018589178197565743) q[3];
ry(0.3765824953094186) q[4];
ry(0.29218552655486985) q[5];
ry(0.04116465117864082) q[6];
ry(0.17790892617792425) q[7];
ry(0.6657017174768285) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9,
5,
2.5,
13,
-5.5,
4,
7,
7,
9
] | 0.974332 | [
0.0786364078723707,
0.297096745685546,
0.6293510276208054,
0.018589178197565743,
0.3765824953094186,
0.29218552655486985,
0.04116465117864082,
0.17790892617792425,
0.6657017174768285,
0.11970356944447005,
0.05847675704917792,
0.012115499154957722,
0.07779464627960145,
0.09576757820059022,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 62 |
c483323d9047b8cd40645dba921c7cdf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 31], "expectation_value": -12.910103032986711, "params": [0.0033, 2.309, 0.0032, 0.0009000000000000001, 0.39830000000000004, 0.8457, -0.7911, 0.0068000000000000005, 0.0017000000000000001, 2.0901, -0.0016, 0.0089, -1.0959, 0.8844000000000001, 0.11320000000000001, 0.0071, -1.0768, 0.3007, 0.5733, 0.0049, -... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1059010368079266) q[0];
rz(-2.3597545357953624) q[0];
rx(-0.0632934843634757) q[1];
rz(2.1197800075554234) q[1];
rx(-0.17328799578675164) q[2];
rz(-2.4752008907911005) q[2];
rx(-2.2679618014587044) q[3];
rz(1.4121803402940643) q[3];
rx(-1.9265539690657678) 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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIZIZIII",
"IZZIIIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-2,
-2,
0.5,
-2,
1,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970356 | [
-0.10590103680792662,
2.3526344445893272,
-0.0632934843634757,
0.5489836807605277,
-0.17328799578675164,
2.2371880895935896,
-2.2679618014587044,
-0.1586159865008332,
-1.9265539690657678,
0.03305354349544659,
-2.7026427791131744,
-0.024008989380308342,
-0.6501447378045581,
-0.0705755142243... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 162 |
bf001351f2bf5e55c043b36bf1cfc0ff | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [243, 115], "expectation_value": -54.42491950919529, "params": [[0.0184, 0.0224, 0.060000000000000005, 0.09620000000000001], [-0.441, -0.40490000000000004, -0.3413, -0.2199]], "bitstrings": ["00001100", "10001100"], "total_optimization_steps": 50, "probabilities": [0.1742876222208188, 0.23459532335040523], "... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
8.5,
21,
17.5,
-3.5,
7,
14.5,
10
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
b810369a1086fa9cdadf9cd9911dedf5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [792, 794], "expectation_value": -7.518376903941457, "params": [1.5705, 1.5671000000000002, 1.5649000000000002, 1.5722, -0.002, -0.002, -0.002, -0.002, -0.003, -0.003, 1.5681, 1.5673000000000001, 1.5766, 1.5733000000000001, -0.0015, -0.0015, -0.8068000000000001, -0.8023, 0.0031000000000000003, 0.003100000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["0011100101"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5409341786890534) q[0];
rz(0.38099844665030186) q[0];
ry(1.5845829494335075) q[1];
ry(0.00623542550926464) q[2];
ry(0.00623542550926464) q[3];
ry(0.03701897564897737) q[4];
ry(1.5195018201248003) q[5];
ry(1.5579165476881187) q[6];
ry(-0.008356659635935113) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIZIZIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
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,
-2,
-1,
-1.5,
-2,
-0.5,
0,
-1.5,
-1.5,
0,
-1
] | 0.974793 | [
1.5409341786890534,
1.5845829494335075,
0.00623542550926464,
0.03701897564897737,
1.5195018201248003,
1.5579165476881187,
-0.008356659635935113,
-0.928085853824604,
-0.023812267500974586,
0.7619968933006037,
-0.025679784106515724,
1.2450570447383333,
-0.25211774951874505,
-0.12373686539455... | {
"n_parameters": 34,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
159cd19d829ee4ab847c9545b38e61cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [88, 74], "expectation_value": -4.496515537764841, "params": null, "bitstrings": ["0100111", "0110101"], "total_optimization_steps": 23, "probabilities": [0.0670089808716783, 0.9297460398026791], "optimization_time": 16.803730249404907} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110101", "1010101", "0100111", "1110100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5023422340445511) q[0];
ry(-0.1078429799343566) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.4881456839634753) q[2];
h q[3];
ry(1.5290680296283448) q[3];
rz(-pi) q[4];
ry(-0.020911826634736206) q[4];
h q[5];
cx q[5], q[2];
ry(0.4881456839634753) q[2];
cx q[5], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIZII",
"IZZIIII",
"IZIIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-1,
-0.5,
0
] | 0.995232 | [
-1.60784788215442,
-1.6238057458678041,
-1.3844327741504878,
1.5290680296283448,
1.5023422340445511,
-0.9762913679269506,
0.6568418144021216,
-0.4563619175761679,
0.6837342847004768,
-0.30196362952333927,
0.2802325564006584,
-0.06699568295955809,
-0.15704114542010444,
0.15024319719377785,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 85.17464828491211} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 12 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_vqe | {"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": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 7.937665700912476} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | 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];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
9006e1cda586e64ac804d82481649caf | 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": [4197, 4198], "expectation_value": -160.613053766267, "params": [[1.2783, -0.0022, 0.0012000000000000001, 0.0006000000000000001, -0.004, -0.0013000000000000002, 1.252, 0.020800000000000003, 1.6417000000000002, -0.0027, 0.8682000000000001, -0.0335, 0.5934], [0.64, 0.0017000000000000001, -0.0059, -0.0001, -0.0... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(12) @ Z(0)) + 8.5 * (Z(10) @ Z(12)) + 8.5 * (Z(3) @ Z(10)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(11) @ Z(10)) + 9.5 * Z(0) + -8.0 * Z(1) + 15.0 * Z(6) + -8.0 *... | 10 | 13 | 4 | {"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -156.5, "smallest_bitstrings": ["0111110011001"], "largest_eigenvalue": 202.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.2025949251878774) q[0];
ry(0.1050783695468234) q[1];
ry(-0.21778265530646382) q[2];
ry(0.04105243552603912) q[3];
ry(0.020115854014340052) q[4];
ry(-0.06853478215628747) q[5];
ry(1.3153072581093268) q[6];
ry(0.22010471896734607) q[7];
ry(2.022141860344838) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIZIZIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"ZIIIIIIIIIIIZ",
"ZIZIIIIIIIIII",
"IIZIIIIIIZIII",
"IZIIZIIIIIIII",
"ZZIIIIIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIZIIIIII",
"IIIIIIIIZIIII",
"IIIIIZIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9.5,
-8,
15,
-8,
18,
-8,
10.5,
13.5,
18.5,
-6,
14,
-15.5,
-16
] | 0.97184 | [
1.2025949251878774,
0.1050783695468234,
-0.21778265530646382,
0.04105243552603912,
0.020115854014340052,
-0.06853478215628747,
1.3153072581093268,
0.22010471896734607,
2.022141860344838,
-0.04684223200377585,
0.9824129459457014,
-0.24119992102533935,
0.48020597021582523,
0.6638134225980374... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -180.5,
"target_ratio": 0.97,
"target_value": -175.085
} | 23 |
9585bd9da3a23c867b07a66c1ae06e3f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1874, 1362], "expectation_value": -88.62641967437706, "params": [0.8044, -0.0222, 0.2891, -0.34240000000000004, 0.8063, 0.0066, 0.0054, 0.0521, 0.8037000000000001, -0.0043, 0.0703, 0.21580000000000002, 0.8042, 0.0021000000000000003, 0.0058000000000000005, -0.31420000000000003, 0.1784, 0.0066, 0.7985, -0.011... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(6)) + -3.0 * Z(1) + 18.0 * Z(0) + -1.0 * Z(2) + -7.5 * Z(3) + 18.0 * Z(4) + -6.5 * Z(5) + 7.5 * Z(6) + -4.0 * Z(7) + 15.5 * Z(9... | 4 | 11 | 3 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01010101101"], "largest_eigenvalue": 119.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.8956820695490713) q[0];
rz(1.5824853180585068) q[0];
rx(-0.0998878113651914) q[1];
rz(1.3231023646636775) q[1];
rx(0.7483852316762473) q[2];
rz(1.4194594008251578) q[2];
rx(-0.0971630113265931) q[3];
rz(1.7445317653883414) q[3];
rx(0.8793860617939879) q[4];
rz(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
-3,
18,
-1,
-7.5,
18,
-6.5,
7.5,
-4,
15.5,
-5,
-5
] | 0.980086 | [
0.8956820695490713,
0.011688991263610365,
-0.09988781136519141,
-0.24769396213121925,
0.7483852316762473,
-0.15133692596973927,
-0.09716301132659308,
0.1737354385934452,
0.8793860617939879,
-0.048378726175286754,
0.05659078006316633,
0.16645350567437595,
0.7879223738332217,
0.0302905334395... | {
"n_parameters": 93,
"n_qubits": 11,
"optimal_eigenvalue": -113,
"target_ratio": 0.97,
"target_value": -109.61
} | 12 |
abc01bbbec8df6018b1ccc06153a1aa6 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [116, 84], "expectation_value": -3.6392464190117084, "params": [[[1.7069, 0.0085], [1.5388000000000002, 0.003], [1.6052000000000002, 0.004], [-0.0019, 0.0058000000000000005], [1.713, 0.006900000000000001], [-0.0017000000000000001, 0.005], [-0.0036000000000000003, 0.0064]]], "bitstrings": ["0001011", "0101011... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ 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(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101011", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.598901742831302) q[0];
rz(-0.19263656034004958) q[0];
rx(2.950115267943038) q[1];
rz(0.0170986077338334) q[1];
rx(-0.046405501093949586) q[2];
rz(-0.955121490693832) q[2];
rx(-0.32068271452814484) q[3];
rz(0.4677788598621341) q[3];
rx(3.1183563014158926) 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": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIIIZZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.971291 | [
3.598901742831302,
-0.19263656034004958,
2.950115267943038,
0.0170986077338334,
-0.046405501093949586,
-0.955121490693832,
-0.32068271452814484,
0.4677788598621341,
3.1183563014158926,
-0.8253293038746815,
0.0715799366508601,
1.0425074626093955,
0.08335242011839639,
-0.5831628395383125
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 20 |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -0.578227559187767, "params": [[0.0584, 0.0606, 0.0551], [-0.042, -0.0477, -0.049]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.022125168232069264, 0.02212516823206927], "optimization_time": 3.383725643157959} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [1, 65], "expectation_value": -10.942900576329208, "params": [0.0036000000000000003, 0.46480000000000005, 0.7931, 0.0086, 0.0023, 0.49760000000000004, 0.0024000000000000002, 0.5788, 0.003, -0.2806, 0.0024000000000000002, 0.5204, 0.0028, 0.6014, 0.8036000000000001, 0.0056, 0.0035, 0.0032, 0.794, 0.0043, 0.002... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 3 | 8 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
81433db079a35f69a6b9f63c7352b11b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [2047, 1023], "expectation_value": -33.02496270039904, "params": [[[-1.6232, 0.001], [0.0024000000000000002, 0.0058000000000000005], [0.0024000000000000002, 0.0017000000000000001], [0.0025, 0.0006000000000000001], [0.0025, 0.0012000000000000001], [0.0025, 0.0098], [0.0026000000000000003, 0.0086], [0.0023, 0.... | -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(8)) + 1.0 * (Z(9) @ Z(1)) + 0.... | 2 | 11 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.5562516094458922) q[0];
rz(0.08427608686424763) q[0];
rx(-0.004723141046601025) q[1];
rz(-0.12274342804009647) q[1];
rx(-0.004723141046601025) q[2];
rz(-0.009957095196228284) q[2];
rx(-0.0059132944804929435) q[3];
rz(0.019219660409246334) q[3];
rx(-0.005913294480... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IZIIIIIIZII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZIIIIIIIZ... | [
-2.5,
-2.5,
-2,
-2.5,
0.5,
1,
-2.5,
1,
-2.5,
-2,
-2,
-2.5,
-2.5,
1,
0.5,
-2.5,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.979789 | [
-1.5562516094458922,
0.08427608686424763,
-0.004723141046601025,
-0.12274342804009647,
-0.009957095196228284,
-0.0059132944804929435,
0.019219660409246334,
-0.1467831867185615,
0.030243864929158926,
-0.08586570501582007,
-0.0036467720931410014,
-0.08749505660350218,
0.019335463371870632,
-... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 1 |
253d3995de007ce15800f0023018551d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -0.8357284991832656, "params": [[-0.051800000000000006, -0.0345], [0.06520000000000001, 0.0507]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011365268052520507, 0.012419419042559878], "optimization_time": 2.4611124992370605} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
024eb4eb919bdf65c57ab94cec1f06e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [29, 21], "expectation_value": -0.04243322095067281, "params": [[0.0325], [-0.021500000000000002]], "bitstrings": ["1100010", "1101010"], "total_optimization_steps": 10, "probabilities": [0.007976386144194122, 0.007977270889166634], "optimization_time": 1.4342751502990723} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.026826525433737123) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6308976674274145) q[1];
h q[2];
ry(-0.4852982136203111) q[2];
h q[3];
cx q[3], q[2];
ry(0.4852982136203111) q[2];
cx q[3], q[2];
ry(-0.5282449194677151) q[2];
ry(0.9544954883708758) q[3];
h q[4];
ry(1.541237106... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.993782 | [
-1.6308976674274145,
-1.6272321698449563,
1.541237106075381,
-0.9705964272406222,
0.797247644555948,
-0.3502112609538205,
0.3144956876298556,
-0.3560673170277892,
0.2806195109599543,
-0.12762364400867643,
0.005054296641712308,
0.00711322139876662,
0.16652473696759373,
-0.16153608992455162
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [54, 214], "expectation_value": -1.1583019712912672, "params": [[[0.3789, 0.7147, 0.0081, 0.0076], [0.028800000000000003, 0.7146, 0.6886, 0.0007], [0.7913, -0.0038, 0.7956000000000001, 0.0076], [0.8096, -0.0027, 0.801, 0.0046], [0.7953, 0.0037, 0.7932, 0.0046], [0.8112, 0.00030000000000000003, 0.801600000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) ... | 11 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011001", "101000011", "010011001", "101100001", "010100101", "100101001", "100100101", "101001001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.13387575191618376) q[0];
rz(1.1268784712756936) q[0];
ry(-0.061935718834311704) q[1];
rz(-0.1256254565339984) q[1];
cx q[1], q[0];
ry(0.17863550986638815) q[1];
rz(-0.3160573702508178) q[1];
ry(1.4040934845537838) q[2];
rz(-0.04167296684653175) q[2];
ry(2.707808468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIZZIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IZIZIIIII",
"IZIZIZIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZIZIIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
0,
0,
0,
0,
0,
0,
-0.75
] | 0.975619 | [
0.13387575191618376,
1.1268784712756936,
-0.061935718834311704,
-0.1256254565339984,
1.4040934845537838,
-0.04167296684653175,
2.7078084688485244,
-0.10488526508814922,
1.3362806829468774,
-0.0064888997952568545,
1.0065816399454337,
0.0076161104372490795,
1.4428275119501128,
1.359197111971... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 37 |
b4abb288c03261a7332dab8c58ac7f10 | 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}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target": 9}, {"capac... | {"states": [213, 209], "expectation_value": -11.133163674684397, "params": null, "bitstrings": ["1100101010", "1100101110"], "total_optimization_steps": 71, "probabilities": [0.19524069973312266, 0.62146617523988], "optimization_time": 146.6081211566925} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(6) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.75, -11.75, -11.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000101010", "1100101010", "1100101110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7621450505269253) q[0];
h q[1];
ry(-1.5242901010538505) q[1];
h q[2];
ry(0.8000075058272839) q[2];
h q[3];
ry(0.8416923455489136) q[3];
h q[4];
ry(-1.5242901010538505) q[4];
ry(-3.132482565010216) q[5];
rz(-pi) q[5];
ry(-0.019593439157990215) q[6];
rz(-pi... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) 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... | [
"IIIIIIIZIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIZIIIIIZI",
"IIIIIIZZII",
"IZIIIIZIII",
"IIZIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.25,
-0.5,
-1,
-1,
1.5,
-0.25,
-0.75,
-0.5,
-1.5,
-0.75,
-0.75,
-0.5,
-1.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-1.5,
0.25,
-1.75,
1.5,
0.5,
-0.5,
-0.25,
0.75
] | 0.970272 | [
-1.5242901010538505,
1.5078198020188534,
-0.39383753629353363,
-1.5198038258725246,
1.6000150116545677,
0.22380223512810674,
1.5322690448175829,
1.6833846910978272,
-0.026749494256177564,
0.058834386795472975,
-0.16727844800834485,
0.09100589735192513,
-0.5003192709988706,
-0.0615392244427... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 47 |
f06cfa431b1d21951bd72bdc4807e338 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [19, 27], "expectation_value": -0.5472741347921269, "params": [[0.0577, 0.0582, 0.0636], [-0.0497, -0.0531, -0.0522]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.02125922170378464, 0.023799569104103382], "optimization_time": 4.024612903594971} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
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": [117, 125], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10001010", "10000010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 45.35703802108765} | -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 | 3 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"], "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 |
52a084c3837e8103860964e17ff664ad | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source... | {"states": [171, 169], "expectation_value": -45.57186339411074, "params": [[[0.0063, 0.0037], [1.1724, 0.0009000000000000001], [0.0031000000000000003, 0.887], [1.1993, -0.0035], [0.1756, -0.5195000000000001], [1.1953, -0.0029000000000000002], [0.17600000000000002, -0.5057], [0.6914, 0.24730000000000002], [1.1999, -0.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"], "largest_eigenvalue": 109.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.35803721432353264) q[0];
ry(0.1002304885800431) q[0];
rz(0.2423264119665247) q[0];
rz(1.9778185239615054) q[1];
ry(2.1825325331843146) q[1];
rz(-1.2716640295777515) q[1];
rz(-1.265005123067631) q[2];
ry(0.1321836081140818) q[2];
rz(1.7252076563442564) q[2];
rz(1.30... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-9.5,
6.5,
-8,
12,
-2.5,
-3.5,
8.5,
5.5
] | 0.978683 | [
0.27142324413184704,
0.3824558914111357,
1.0660142889678628,
0.3580090426854323,
-0.06929697599071229,
0.6102040719090158,
1.3488706353529616,
-0.12323579796916302,
0.09248632844231083,
-0.5040709525970754,
1.633722390878367,
0.04786520849940054,
-0.041692619273492666,
-0.7787375206912922,... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 11 |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 39.79528498649597} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx 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];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 24.810773849487305} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.25,
-0.75,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
bd0739923e95a9ca3accc4a9b16c8fc7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 483], "expectation_value": -10.729617628361082, "params": [-0.2828, 0.7995, 0.8319000000000001, 0.0061, 1.0111, 0.4748, -0.4172, 0.0081, 1.0133, 0.6778000000000001, -0.3274, 0.0029000000000000002, 1.0206, 1.0449, -0.1305, 0.0011, 0.0018000000000000002, 0.6494, 0.0014, 0.0073, -0.0049, 2.1873, -0.0046, 0.... | -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)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000011100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.578958240271976) q[0];
rz(1.4091944533822023) q[0];
rx(2.958753543089515) q[1];
rz(1.5124251265531905) q[1];
rx(-3.1135628774201245) q[2];
rz(1.0207587939004377) q[2];
rx(-3.0451535180715688) q[3];
rz(2.3936165218233203) q[3];
rx(0.10103229368564845) q[4];
rz(0.94... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
1,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
-1.5,
0.5,
0.5
] | 0.970889 | [
-0.578958240271976,
-0.16160187341269555,
2.958753543089515,
-0.058371200241705896,
3.169622429759462,
-0.5500375328944582,
3.238031789108018,
0.8228201950284242,
0.10103229368564848,
-0.6214568184309508,
-0.14167865231256738,
2.4320980315138416,
0.1034918763711022,
0.6341931890824,
0.87... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 126 |
1d579e37a468bd880bcb1092848cc668 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 18.330240726470947} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | 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... | 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", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 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 |
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": -0.1557742943111478, "params": [[-0.0568, 0.0604], [0.0745, -0.0245]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.0044598968752590645, 0.004466641061631437], "optimization_time": 3.2125816345214844} | -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 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10100000", "10100010", "10110110", "10100110"], "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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 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 |
de837449b9b1ac221f958aa18f8b69de | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [97, 103], "expectation_value": -6.0225274508961375, "params": [-0.08750000000000001, 0.9768, 0.41390000000000005, 0.9807, -0.036500000000000005, 0.9098, 0.5894, 0.9367000000000001, 0.0067, 0.4199, -0.0211, 0.7534000000000001, 0.002, 0.442, 0.0073, 0.5621, -0.7454000000000001, 0.8189000000000001, 0.2169, 1.1... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) 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] 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... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
afc1e6ae0489b407103909fb8184f531 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [72, 55], "expectation_value": -1.0121474723361938, "params": [[-0.0781, -0.07100000000000001, -0.0724], [0.0796, 0.0723, 0.0682]], "bitstrings": ["0110111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.014873257744845228, 0.016279554852844484], "optimization_time": 3.763197898864746} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038206618307315275) q[0];
cx q[1], q[0];
rz(-0.7362373108468026) q[1];
rx(1.0232489118228707) q[1];
h q[2];
cx q[0], q[2];
rz(-0.038206618307315275) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.038206618307315275) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-0.5,
-0.5,
0,
-1
] | 0.976376 | [
-0.038206618307315275,
-0.7362373108468029,
1.3466984830280748,
-0.20470298095310765,
0.745958834784167,
1.0232489118228707,
0.03314743356154229,
-0.004753878321068591,
-1.315429486290217,
0.5768805783022085,
0.684831630544441,
-0.1613007339731846,
1.2439326691661319,
-0.09426819990905794,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
e1d3015ff7ffc7e0806533be361ff7b0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [680, 682], "expectation_value": -28.556652786357137, "params": [[[0.3971, 0.19010000000000002], [0.0118, 0.2316], [0.402, 0.2215], [0.3251, 0.3301], [0.40230000000000005, 0.1237], [0.39690000000000003, 0.33], [0.3986, 0.37870000000000004], [0.2994, 0.40130000000000005], [0.39590000000000003, 0.4018000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + -3.0 * Z(1) + 7.5 * Z(0) + 7.0 * Z(2) + -2.0 * Z(3) + 3.0 * Z(5) + -1.5 * Z(4) + 9.5 * Z(6) + 2.5 * Z(7) + 6.0 * Z(8) + -2.0 * Z(9) | 15 | 10 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["0101010101"], "largest_eigenvalue": 83.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.37369789756816846) q[0];
ry(-0.4196299528242966) q[1];
ry(0.3195227115556309) q[2];
ry(0.06374016770266071) q[3];
ry(1.139910339330132) q[4];
ry(0.1900562598782933) q[5];
ry(0.9953851319103446) q[6];
ry(0.028461209343796735) q[7];
ry(0.5746508865260505) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
-3,
7.5,
7,
-2,
3,
-1.5,
9.5,
2.5,
6,
-2
] | 0.971558 | [
0.37369789756816846,
-0.4196299528242966,
0.3195227115556309,
0.06374016770266071,
1.139910339330132,
0.1900562598782933,
0.9953851319103446,
0.028461209343796735,
0.5746508865260505,
0.36369087194559635,
0.03871941871361007,
-0.04621707211951647,
0.013224411973177454,
0.08387304774788579,... | {
"n_parameters": 75,
"n_qubits": 10,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 105 |
e477f019bfd20e5c3ebfb6f9f834bdc7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [30, 31], "expectation_value": -0.6713934386103084, "params": [[-0.038400000000000004], [0.043500000000000004]], "bitstrings": ["111100001", "111100000"], "total_optimization_steps": 10, "probabilities": [0.002339143459707732, 0.0024118616348383685], "optimization_time": 2.782576322555542} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.19797223445350373) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.2002553072915073) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.19797223445350373) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.19797223445350373) q[3];
cx q[1], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.577079 | [
0.19797223445350373,
0.2002553072915073,
-0.01351954138625283,
1.5559118600726514,
0.42999996669539475,
1.3295456803697459,
1.205463004165793
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 205 |
2558005241020373619 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10, 9, 6], [8, 2, 3], [0, 5, 7], [0, 9, 3, 7], [10, 5, 6, 7], [2, 4, 5], [0, 1, 4, 7], [0, 10, 6], [0, 9, 6], [8, 1, 3, 7], [0, 8, 3], [10, 3, 7], [9, 3, 6], [0, 2, 10], [0, 10, 7], [0, 8, 10], [1, 9, 7], [8, 9, 2, 5], [3, 6, 7], [1, 5], [8, 4, 7]]} | {"states": [1884, 1820], "expectation_value": -4.139429518759872, "params": [1.1972, 0.1569, 1.0513000000000001, 0.0092, 1.2003000000000001, 0.1653, 1.1927, 0.0074, 1.2036, 0.1685, 1.1952, 0.0026000000000000003, 0.911, -0.2509, 0.7111000000000001, 0.0063, 1.1904000000000001, -0.1577, 1.0543, 0.0061, 1.0119, 0.0417, 0.4... | 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-5.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.249999999999999, "smallest_bitstrings": ["00011100011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.2606979476246005) q[0];
rz(1.548313490830358) q[0];
rx(1.9884941770914049) q[1];
rz(1.677407816717852) q[1];
rx(1.9956658433376053) q[2];
rz(1.5265101617115153) q[2];
rx(-0.06296885099420722) q[3];
rz(1.5634919629860953) q[3];
rx(0.7786866850601418) q[4];
rz(0.717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"ZIIIZIIIIII",
"IIIIZIIIIZI",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"IIZIIIIIZII",
"ZIIIIIIZIII",
"IIIIIIIZIZI",
"IZIIIIIZIII",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IIIIIIIZZII",
"ZIIIIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.333333333333333... | 0.970508 | [
2.2606979476246005,
-0.022482835964538976,
1.9884941770914049,
0.10661148992295576,
1.9956658433376055,
-0.04428616508338082,
-0.06296885099420724,
-0.0073043638088019155,
0.778686685060142,
-0.8530430773818805,
0.784646049692322,
-0.040575787651865834,
1.7883566752866544,
0.04692310711085... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -5.333333333333331,
"target_ratio": 0.97,
"target_value": -5.173333333333331
} | 254 |
c115cf772412a3efc6e8057443fcfc91 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [682, 678], "expectation_value": -114.48757601899696, "params": [[0.0118, 0.6322, -0.023100000000000002, 0.6345000000000001, -0.0027, 0.6285000000000001, 0.0396, 0.0823, -0.4379, 1.0388, -0.003], [-0.007200000000000001, 0.6259, 0.10840000000000001, 0.625, -0.0016, 0.6307, -0.0281, 0.0166, 0.5237, 0.9995, -0.... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + -6.0 * Z(0) + 15.5 * Z(1) + 5.0 * Z(2) + -6.5 * Z(4) + 8.0 * Z(3) + -5.5 * Z(6) + 2.0 * Z(5) + 8.5 *... | 10 | 11 | 4 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 153.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.0450087598344301) q[0];
ry(0.5768066248247911) q[1];
ry(0.09264399580261445) q[2];
ry(0.4553357309720831) q[3];
ry(0.05133724727125706) q[4];
ry(0.6747000700949605) q[5];
ry(0.18267254289961354) q[6];
ry(0.06547291659739464) q[7];
ry(-0.32242678945708303) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6,
15.5,
5,
-6.5,
8,
-5.5,
2,
8.5,
10,
22.5,
-12.5
] | 0.975631 | [
-0.0450087598344301,
0.5768066248247911,
0.09264399580261445,
0.4553357309720831,
0.05133724727125706,
0.6747000700949605,
0.18267254289961354,
0.06547291659739464,
-0.32242678945708303,
1.2025991430530245,
0.06605400996846746,
-0.004698089733478224,
0.6146294233544088,
-0.0309551147847663... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -123,
"target_ratio": 0.97,
"target_value": -119.31
} | 8 |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -4.112688043115055, "params": [0.42260000000000003, 1.3047, -0.40390000000000004, 1.0045, 0.4726, 0.5134000000000001, 0.4025, 0.5209, 0.216, 0.7492000000000001, -0.3769, 0.43310000000000004, -0.0316, 0.9213, 0.033, 0.7546, -0.42810000000000004, 0.15960000000000002, -0.4663000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 6 | 5 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2092259966300754) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.2092259966300754) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36626893194598403) q[1];
cx q[0], q[1];
rz(-0.3662689319459842) q[0];
rx(-0.8807098386931145) q[0];
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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IIZZI",
"IIIZZ",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.60193 | [
-1.2092259966300754,
-0.36626893194598403,
0.7796489636954859,
0.4751616547745804,
-0.8807098386931146
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 154 |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 7], "expectation_value": -4.949621029932606, "params": [0.1991, 0.5931000000000001, -0.09820000000000001, 0.5978, -0.303, 0.5988, -0.2836, 0.8269000000000001, -0.32, 0.4444, -0.28800000000000003, 0.7924, -0.3098, 0.7614000000000001, -0.25630000000000003, 0.8439000000000001, -0.2604, 0.2136, -0.2495, 0.68... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 6 | 4 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.2762160908520579) q[0];
rz(2.1717347277170145) q[0];
rx(-0.25251778179951073) q[1];
rz(1.127576670184414) q[1];
rx(-0.7776815244476688) q[2];
rz(2.2659608371426394) q[2];
rx(-0.562711315578499) q[3];
rz(0.5375407579258363) q[3];
cx q[3], q[2];
ry(-0.23906606716144... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97312 | [
-0.2762160908520579,
0.6009384009221174,
-0.25251778179951073,
-0.44321965661048196,
-0.7776815244476689,
0.6951645103477428,
-0.562711315578499,
0.5375407579258363,
0.4781321343228988,
-0.3940284111299176,
-0.29084675499965945,
0.16414195530088685,
0.14075541250665047,
0.44040552857846893... | {
"n_parameters": 79,
"n_qubits": 4,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 116 |
a491cc1ad860027bed378ec630af854f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 15], "expectation_value": -25.231208210474534, "params": [0.0034000000000000002, 1.3196, 0.0043, 0.0078000000000000005, -0.0012000000000000001, -1.3749, -0.006500000000000001, 0.0006000000000000001, 0.0055000000000000005, -1.8833000000000002, -0.0049, 0.005200000000000001, -0.001, 1.8482, 0.0032, 0.00450... | 1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(5)) + -2.0 * (Z(1) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(0)) + -3.0 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0379855746199412) q[0];
rz(2.523040099671455) q[0];
rx(0.027826932370356078) q[1];
rz(0.20145791713807748) q[1];
rx(-0.017071400277261763) q[2];
rz(-0.637314958293203) q[2];
rx(0.008469599218939616) q[3];
rz(-2.2439032428305827) q[3];
rx(-0.027912901170832522) 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIIIZIIIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII"... | [
1,
1,
-2.5,
0.5,
1,
0.5,
0.5,
-3,
1,
-2,
-3.5,
-3.5,
-3.5,
-3,
-3,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2.5,
-2,
0.5,
1,
2,
0.5,
0.5,
0.5,
0.5
] | 0.970357 | [
-0.0379855746199412,
0.9522437728765585,
0.027826932370356078,
-1.369338409656819,
-0.017071400277261763,
-2.2081112850880986,
0.008469599218939616,
2.468485737554107,
-0.02791290117083253,
1.6536536138800884,
0.01600439310456154,
2.429439975364333,
1.4440212039148899,
-0.02973052693593855... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 145 |
b2c25a19a038d07471a5450910ba4971 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [24, 3], "expectation_value": -1.9224300395397638, "params": [[0.07880000000000001], [-0.0813]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.04086295980928291, 0.04209190140312251], "optimization_time": 1.4954886436462402} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [45, 44], "expectation_value": -1.7549659334196148, "params": [[[0.6078, 0.0024000000000000002], [-0.0067, 0.2852], [0.6032000000000001, -0.0006000000000000001], [0.5691, 0.006200000000000001], [0.0022, -0.2843], [0.4811, -0.0699]], [[0.6077, 0.0024000000000000002], [-0.0044, 0.28550000000000003], [0.6017, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
9fa2c1c0efc57c7f335d8a3e17939b3e | 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": [2098, 2099], "expectation_value": -92.52201635545805, "params": [[0.8021, 0.1076, 0.0013000000000000002, 0.0025, -0.0748, 0.3791, 0.3014, 0.8004, 0.00030000000000000003, -0.0472, 0.7959, 0.18030000000000002], [0.7959, 0.1388, 0.0017000000000000001, 0.0053, -0.12810000000000002, 0.2802, -0.0158, 0.5661, -0.0... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(3) @ Z(11)) + 6.5 * Z(0) + 1.5 * Z(1) + -3.0 * Z(4) + 6.5 * Z(6) + -7.5 * Z(2) + 2.5 *... | 10 | 12 | 4 | {"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["011111001100"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.7795744299589784) q[0];
ry(-0.049013886906145665) q[1];
ry(-0.32640707188749085) q[2];
ry(-0.1224542782100378) q[3];
ry(-0.2593146057676343) q[4];
ry(-0.16571522729022028) q[5];
ry(0.4658681498730882) q[6];
ry(0.8528135975374067) q[7];
ry(-0.10221739393242962) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6.5,
1.5,
-3,
6.5,
-7.5,
2.5,
9,
-3.5,
18,
3.5,
18,
-3.5
] | 0.97369 | [
0.7795744299589784,
-0.049013886906145665,
-0.32640707188749085,
-0.1224542782100378,
-0.2593146057676343,
-0.16571522729022028,
0.4658681498730882,
0.8528135975374067,
-0.10221739393242962,
0.0731786205888528,
0.8458572944021511,
-0.024152395034628307,
-0.13225651830668095,
0.071069918725... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -140,
"target_ratio": 0.97,
"target_value": -135.79999999999998
} | 36 |
01c509cf41fe904ef36f9c73fa58f4df | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [114, 82], "expectation_value": -2.517551471545384, "params": [[[-0.002, 0.6317], [0.8583000000000001, 0.002], [0.7261000000000001, 0.033], [0.9081, -0.0011], [-0.0033, 0.6711], [0.6959000000000001, 0.0847], [0.8652000000000001, -0.0025], [-0.0022, 0.6512]], [[-0.002, 0.0085], [0.861, 0.0089], [0.7239, 0.003... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["10101011", "10101101", "11001011", "11001101"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
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": []} | [
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.5,
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,
-1,
-0.25,
-0.125,
-0.125,
-0.75,
-0.25,
-0.125,
-0.625
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
65bd080f0b079dce89fa5bd7d6b7272b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [351, 383], "expectation_value": -10.07804833949893, "params": [0.0025, 1.7386000000000001, 0.0029000000000000002, 0.005200000000000001, -0.626, -0.042, 0.07780000000000001, 0.0055000000000000005, -0.0029000000000000002, 1.492, -0.0026000000000000003, 0.0063, 1.1024, 0.6373, -0.7663000000000001, 0.0013000000... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.00027225825962394305) q[0];
rz(-3.0431956996734595) q[0];
rx(3.1222304006767856) q[1];
rz(1.8034259892602513) q[1];
rx(0.039703114893526764) q[2];
rz(2.5913702759365354) q[2];
rx(1.5847925643990315) q[3];
rz(3.1317059015842705) q[3];
rx(1.5696663804402038) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
-1.5,
-1,
-1,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.889581 | [
-0.00027225825962394305,
1.6691932807112304,
-3.160954906502801,
0.23262966246535413,
0.039703114893526764,
1.0205739491416392,
1.5847925643990315,
1.5609095747893744,
1.569666380440204,
1.623416159181067,
-3.207432999450167,
1.3162776022504694,
-1.9875252049020804,
1.6839740507187875,
-... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 500 |
d3ade3a8101a76a5368810932e8e6702 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -20.433890648082507, "params": [0.0033, 0.0053, 0.0026000000000000003, 0.0054, 0.0023, 0.0061, 0.0023, 0.0009000000000000001, 0.0023, 0.0009000000000000001, 0.0024000000000000002, 0.008400000000000001, 0.0024000000000000002, 0.0051, 0.0023, 0.0054, 1.5991, 0.0058000000000000005, ... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 3.25 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -2.75 * (Z(7) @... | 3 | 9 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.25858899028908977) q[0];
rz(-0.33522664265405666) q[0];
rx(0.08719597345253834) q[1];
rz(-0.10011831809203509) q[1];
rx(-0.11073406163263953) q[2];
rz(0.08571148191659361) q[2];
rx(-0.11073406163263953) q[3];
rz(0.18071642701362478) q[3];
rx(-0.11073406163263955) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIIIZI",
"... | [
-0.75,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
-0.5,
3.25,
-1.25,
-1,
-0.5,
-2.75,
-0.5,
-1.5,
-0.5,
-0.5,
-1.25,
-1.5,
-0.25,
-0.25,
-1,
-0.5,
1.5,
3.25,
-0.25,
-0.25,
-2.25
] | 0.983905 | [
0.25858899028908977,
-0.403481733557732,
0.08719597345253832,
-0.20041512282474316,
-0.11073406163263953,
0.18984938565352297,
0.10978621487393787,
0.0697186242219017,
-0.16983563802277707,
0.1363960108971482,
3.01758654448913,
0.2050368789993589,
-0.1055519101198219,
0.2616523480141692,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 9 |
3789566374932828419 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 3], [2, 3]]} | {"states": [5, 9], "expectation_value": -0.013914694412154316, "params": [[-0.0653], [0.07200000000000001]], "bitstrings": ["1010", "0110"], "total_optimization_steps": 10, "probabilities": [0.06425065708211596, 0.06425065708211598], "optimization_time": 0.7648575305938721} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.39792389473024775) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.39792389473024775) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3979238947302477) q[1];
rx(0.8231233233489348) q[1];
rz(-0.39792389473024775) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0
] | 0.755683 | [
-0.39792389473024775,
-1.4568092248069295,
0.34331525183914197,
0.8231233233489348
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 122 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [19, 17], "expectation_value": -4.285657307330394, "params": [[[1.8785, 0.006200000000000001], [0.4121, 0.003], [0.4005, 0.0027], [1.5250000000000001, 0.0081], [1.7675, 0.0039000000000000003]]], "bitstrings": ["01100", "01110"], "total_optimization_steps": 190, "probabilities": [0.17095867445118992, 0.187371... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
9101164083063659977 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 6], [1, 3], [0, 1], [1, 5, 7], [2, 7], [8, 6, 7], [0, 3], [0, 2]]} | {"states": [422, 390], "expectation_value": -0.7216074567839683, "params": [0.8037000000000001, -0.0734, 0.805, 0.0012000000000000001, 0.8017000000000001, -0.0534, 0.8043, 0.0016, 0.8046000000000001, 0.1078, 0.7071000000000001, 0.0097, 0.7993, 0.08020000000000001, 0.7185, 0.009000000000000001, 0.7976000000000001, 0.030... | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.166666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665, -3.1666666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["001111001", "011000100", "011100100"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3945098608615847) q[0];
rz(1.5422831285643568) q[0];
rx(2.5818405516903677) q[1];
rz(1.6731415753573282) q[1];
rx(-0.027507638906738685) q[2];
rz(1.179697925839502) q[2];
rx(-0.17216722676266857) q[3];
rz(1.5220081579762414) q[3];
rx(-0.11145911116075925) 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": []} | [
"IIIIZIIZI",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIZIZ",
"IZIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666652,
0.16666666666666663,
0.16666666666666663,
0,
0,
0.3333333333333335,
0,
0.1666666666666666... | 0.97096 | [
1.3945098608615845,
-0.028513198230540222,
2.5818405516903677,
0.10234524856243174,
-0.027507638906738692,
-0.39109840095539505,
-0.17216722676266855,
-0.04878816881865449,
-0.11145911116075927,
0.9371150532192308,
-0.049290844786553475,
0.46375855733443816,
0.3327319931152782,
1.979205175... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.1666666666666665,
"target_ratio": 0.97,
"target_value": -3.0716666666666663
} | 153 |
4728709783523296323 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 6], [4, 6], [2, 5], [0, 5], [1, 3], [3, 4], [3, 6], [2, 3], [1, 2], [2, 6], [3, 5], [5, 6]]} | {"states": [11, 116], "expectation_value": -0.16251768022501473, "params": [[0.0779], [-0.0839]], "bitstrings": ["1110100", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008857381869738515, 0.008857381869738515], "optimization_time": 1.9191761016845703} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001011", "1110100", "1011001", "0110110", "0101010", "1011100", "0100011", "0100110", "1001001", "1010101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.45305169247121896) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(0.45305169247121896) q[6];
cx q[5], q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(0.45305169247121896) q[2];
cx q[5], q[2];
cx q[5], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZIIIIZ",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII"
] | [
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
] | 0.535202 | [
0.45305169247121896,
1.1280119820141807e-8,
-0.582516622189749
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 88 |
a884f7f979bc9550bc1068bc7a23bbd8 | 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": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [248, 249], "expectation_value": -3.47047540589056, "params": [0.8014, 0.0035, 0.8028000000000001, 0.0026000000000000003, 0.8046000000000001, 0.001, 0.8096, -0.0082, 0.8074, -0.0206, 0.3623, -0.2442, 0.04, 0.4132, 0.8009000000000001, -0.0017000000000000001, 0.8073, 0.0041, 0.7987000000000001, -0.0011, 0.7994... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7) | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2648878091128273) q[0];
rz(1.5636689827526427) q[0];
rx(1.8504164641626257) q[1];
rz(1.3912198847357837) q[1];
rx(1.2190732896131398) q[2];
rz(1.2412942078483367) q[2];
rx(0.4939393128989308) q[3];
rz(1.9865574045296857) q[3];
rx(1.0237781573696836) q[4];
rz(1.6763... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIZ",
"IZIIIIZI",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZZIIII",
"ZZIIIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
-0.5,
0,
0,
-0.5,
0
] | 0.976555 | [
0.2648878091128273,
-0.0071273440422539025,
1.8504164641626255,
-0.1795764420591127,
1.2190732896131398,
-0.3295021189465598,
0.4939393128989308,
0.4157610777347894,
1.0237781573696834,
0.105601444175963,
0.20774077301505772,
-0.6093429923744663,
-0.21260252796349172,
0.5032223804071148,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 44 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [238, 350], "expectation_value": -2.1510214311991946, "params": [[-0.06330000000000001, -0.0551, -0.0485, -0.0644], [0.0776, 0.0723, 0.0649, 0.07100000000000001]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.006324183771484596, 0.006324183771484597], "optimiz... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"start_node": 0, "end_node": 4} | {"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,
0.5,
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,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 3], "expectation_value": -6.322616460637875, "params": [[0.057], [-0.0594]], "bitstrings": ["1111010", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011044401979064408, 0.011563339122030867], "optimization_time": 2.3300156593322754} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 18 | 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;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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) q[2];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
-7024107008918819001 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5], [8, 1, 3, 0], [11, 4, 5], [8, 3, 4, 7], [0, 2, 3, 5], [8, 3, 6, 7], [8, 9], [0, 1, 5, 7], [2, 4, 6], [9, 3, 6], [2, 10], [9, 11, 4], [9, 10, 3], [8, 1, 4], [11, 3], [2, 11], [10, 11, 4, 6], [1, 5, 6, 9], [0, 10, 7], [1, 2, 9], [1, 11, 9], [0, ... | {"states": [3309, 3317], "expectation_value": -7.7122972157674905, "params": [1.5767, 1.57, 1.5866, 1.5497, -0.0024000000000000002, -0.0024000000000000002, -0.0025, -0.0025, 1.5653000000000001, 1.5716, 1.5617, 1.5756000000000001, 1.5702, 1.5765, 1.6687, 0.005, 1.5682, 1.5682, 1.6385, 1.5083, -0.0025, -0.0025, 1.853, 1.... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.25 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(10)) + 0.25 *... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.666666666666666, "smallest_bitstrings": ["001100001010"], "largest_eigenvalue": 27.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5070066202867478) q[0];
rz(-0.025441966744926856) q[0];
ry(1.6252901718861699) q[1];
ry(-0.0791717067740384) q[2];
ry(0.006841788012704273) q[3];
ry(1.7649951329831863) q[4];
ry(1.5352163151193825) q[5];
ry(1.5652454359236518) q[6];
ry(1.8517907668374214) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IZIIIIIIIIZI",
"IZIIZIIIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IZIIIIZIIIII",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIZIIIZIII",
"IIIIIIZIZ... | [
0.16666666666666666,
0.25,
0.41666666666666663,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666... | 0.992467 | [
1.5070066202867478,
1.6252901718861699,
-0.0791717067740384,
0.006841788012704273,
1.7649951329831863,
1.5352163151193825,
1.5652454359236518,
1.8517907668374214,
1.6758444147965608,
1.6961849115923564,
1.8198979708116962,
-0.05088393348985371,
-3.118337622708202,
-0.03121734653200155,
0... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
a580428593ca2a54e0f078f27f8703fa | 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": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -2.393754990999338, "params": [[-0.046900000000000004, -0.0472, -0.052700000000000004, -0.0334], [0.06760000000000001, 0.0574, 0.059000000000000004, 0.0526]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010384827135747645, 0.011... | -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 | 4 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"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 |
504aff5065c6904e02914f6b44da8a9c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [1, 3], "expectation_value": -7.549008648028158, "params": [[[-0.0029000000000000002, 1.1942000000000002], [0.0026000000000000003, 1.1607], [0.0027, 1.3062], [0.0026000000000000003, 1.3317], [-0.8348, -0.0012000000000000001], [1.5665, -0.0033]], [[-0.0029000000000000002, 0.0043], [0.0026000000000000003, 0.00... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
a12167d92b99eced507bf6abc58f9b3b | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5806, 5870], "expectation_value": -2.778409795494225, "params": [[[1.0027000000000001, -0.0017000000000000001, 0.0039000000000000003, 0.0054], [0.0013000000000000002, -0.32020000000000004, 0.0019, 0.005200000000000001], [0.8803000000000001, -0.0037, 0.0014, -0.001], [0.6106, -0.2437, -0.0727, 0.002900000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 12 | 13 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.7711795064500494) q[0];
rz(-0.026404203268140164) q[0];
ry(-0.10074902148764961) q[1];
rz(-0.25894003279860156) q[1];
cz q[1], q[0];
ry(1.2493231974560228) q[0];
rz(0.0013212152176097502) q[0];
ry(0.10613416276879395) q[1];
ry(0.9442505162235159) q[2];
rz(0.099299... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIZIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.970262 | [
0.7711795064500494,
-0.026404203268140164,
-0.10074902148764961,
-0.25894003279860156,
0.9442505162235159,
0.09929995747044852,
0.3493413706629419,
-0.2676184730638463,
0.21843456743659198,
-0.27261330959162605,
0.7376427729034467,
0.11569324165414256,
-0.9368843856581821,
0.13026629646627... | {
"n_parameters": 107,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 63 |
f66a982a183ade09db0d8bd37adec82b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 9}, {"weight": 2, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -94.85947995663857, "params": [0.14930000000000002, -0.0067, 0.7897000000000001, 0.0017000000000000001, 0.30870000000000003, 0.0563, 0.787, -0.0014, 0.3483, -0.014700000000000001, 0.788, -0.004, 0.1807, -0.3062, 0.7759, -0.0426, 0.7619, -0.1051, 0.3754, -0.19790000000000002, ... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 14.0 * Z(1) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17396870276297483) q[0];
rz(1.4815906557890361) q[0];
rx(0.8467122148572366) q[1];
rz(1.5415456054239751) q[1];
rx(0.34095051938946835) q[2];
rz(1.8788324266479801) q[2];
rx(0.7838521986374394) q[3];
rz(1.4153294253154893) q[3];
rx(0.27648068414589133) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
14,
-4,
16.5,
-4.5,
17.5,
-1.5,
21,
4.5,
14,
17
] | 0.974175 | [
0.17396870276297483,
-0.08920567100586008,
0.8467122148572365,
-0.029250721370921308,
0.34095051938946835,
0.3080360998530831,
0.7838521986374394,
-0.15546690147940717,
0.2764806841458914,
0.02525257100864669,
0.8757771293735327,
0.0017686464229193146,
0.06973237295626492,
-0.6630689786767... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 8 |
a91613587e2e3ed31c854337981da9dd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 15.182564735412598} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
9e7016c164f10697b0206c1127149a76 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -6.917947095858679, "params": [[-0.062400000000000004, -0.038900000000000004], [0.0736, 0.0732]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03244915018638139, 0.03320132372367608], "optimization_time": 3.192864179611206} | 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)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0017965964091332248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0017965964091332248) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0017965964091332248) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0017965964091332248) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-6,
-5.5,
-5.5
] | 0.981987 | [
0.0017965964091332248,
-0.07551128298742306,
1.2634867789247113,
-1.4711869636840829,
1.2568819748851656,
-0.04637896190664645,
-0.0710626490461622,
0.48661910135770714,
0.5319265632727552,
0.3667675496563035
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 29 |
fbc4c53f550402aa7d6311a5b02e2bb5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 14, "sourc... | {"states": [481, 241], "expectation_value": -8.032082213542301, "params": [[0.0507], [-0.0625]], "bitstrings": ["000011110", "100001110"], "total_optimization_steps": 10, "probabilities": [0.004101645878198956, 0.004221163738447266], "optimization_time": 4.074758768081665} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 14.5 * Z(0) + 12.5 * Z(2) + 12.0 * Z(4) + 11.5 * Z(3) + -4.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["100001110"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(5.806793518998351e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(5.806793518998351e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(5.806793518998351e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(5.806793518998351e-09) 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
14.5,
12.5,
12,
11.5,
-4.5,
4,
6.5,
-4
] | 0.930556 | [
5.806793518998351e-9,
1.570796356243922,
1.5707963319305678,
-1.5707963287379665,
1.570796352361865,
-1.5707963424678517,
-1.5707962552714163,
1.5707963426885518,
-1.5707963201317428,
-1.570796324084223
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 264 |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 13.147481203079224} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
f736cdcdd3e9fab7057c0068d5117a32 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [348, 244], "expectation_value": -14.444477322662678, "params": [[0.041], [-0.0877]], "bitstrings": ["010100011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0046230206488169796, 0.005360251616851105], "optimization_time": 1.9177680015563965} | 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(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.3305793817029294) q[0];
rz(-pi) q[0];
ry(-1.2125699780875014) q[1];
rz(-pi) q[1];
ry(-1.5549335664366195) q[2];
rz(-pi) q[2];
ry(-2.53423986867924) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-2.5661915813676774) q[4];
h q[5];
ry(0.6647761924313366) q[5];
cx q[5], q[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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"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,
16,
13.5,
13,
19,
17,
11.5,
12,
-3,
-1
] | 0.977128 | [
0.7693130675599309,
21.024634404472,
-25.654894776789906,
6.366464348750739,
0.6647761924313366,
3.0606717175331437,
64.18486109846963,
3.6680103648570657,
63.22011402044469,
20.831575708628794,
6.52012879930155,
-19.17288881744406,
6.194552820481274,
-12.238516215630844,
-18.71943957014... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 214 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.7417622267617223, "params": [0.6591, 0.2998, 0.48400000000000004, -0.0814, 0.6567000000000001, 0.2545, 0.46490000000000004, -0.058100000000000006, 0.561, 0.44120000000000004, 0.41600000000000004, -0.1075, 0.3274, -0.0916, 0.1623, 0.0047, 0.3451, -0.0721, 0.013800000000000002, ... | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 6 | 3 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"IZI",
"IIZ",
"ZII"
] | [
-1,
0.5,
0.5,
-0.5
] | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
3ce4a4ba7ee8a45f8917cf89915e33a4 | 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": [636, 87], "expectation_value": -18.91213532135983, "params": [[[0.3019, 0.29810000000000003], [0.2646, 0.2958], [-0.23340000000000002, 0.2982], [0.3037, 0.29960000000000003], [0.3017, 0.2972], [0.2978, 0.3003], [0.23170000000000002, 0.2995], [0.29760000000000003, 0.3054], [0.30260000000000004, 0.26680000000... | 7.0 * (Z(1) @ Z(5)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 31.0 * Z(5) + 9.0 * Z(1) + 13.0 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.0, "smallest_bitstrings": ["1110101000"], "largest_eigenvalue": 209.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.10902733778614689) q[0];
ry(-0.6433263250310056) q[1];
ry(0.36597408183039215) q[2];
ry(0.9060699110657989) q[3];
ry(0.3906461321270023) q[4];
ry(0.8777978278176712) q[5];
ry(-0.08527750477662771) q[6];
ry(0.7066197365137479) q[7];
ry(-0.053463148409039624) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IZIZIIIIII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
31,
9,
13,
-5,
3,
24,
3.5,
6,
20,
-13.5
] | 0.970244 | [
0.10902733778614689,
-0.6433263250310056,
0.36597408183039215,
0.9060699110657989,
0.3906461321270023,
0.8777978278176712,
-0.08527750477662771,
0.7066197365137479,
-0.053463148409039624,
-0.10063595240203294,
0.01572030843985949,
0.04051858651800959,
0.066025332160173,
0.07000606001022525... | {
"n_parameters": 70,
"n_qubits": 10,
"optimal_eigenvalue": -118,
"target_ratio": 0.97,
"target_value": -114.46
} | 113 |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 47], "expectation_value": -2.1211934252315214, "params": [[0.16010000000000002], [-0.14850000000000002]], "bitstrings": ["0111111", "1010000"], "total_optimization_steps": 20, "probabilities": [0.016590043150341974, 0.017788148351099684], "optimization_time": 1.7268462181091309} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
6e37aef8e2f10c2778e28c9dc9b1affa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3558, 3574], "expectation_value": -3.1713464273165073, "params": [[[0.25630000000000003, 0.025500000000000002, 0.0051, 0.0071], [0.46290000000000003, -0.14300000000000002, 0.2853, -0.1565], [0.5898, -0.09960000000000001, -0.3698, -0.29600000000000004], [-0.1003, -0.27490000000000003, 1.0966, -0.0046], [0.27... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 11 | 13 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIIZZIZII",
"IIIIIIIZZZIII",
"IIIIIIIZZZZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIZIIIIIIIZ",
"IIIIIIZIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
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... | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
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