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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8672f4adf41d38ee04f91cc5c89bd1b9 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, ... | {"states": [82, 83], "expectation_value": -3.0638711665303524, "params": [0.4068, -0.0048000000000000004, 0.0673, 0.2053, 0.4046, 0.10160000000000001, -0.0041, 0.2015, 0.055200000000000006, 0.2053, 0.4088, 0.10650000000000001, 0.39930000000000004, -0.001, 0.40990000000000004, 0.0038, 0.06280000000000001, 0.208500000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.767535734217575) q[0];
rz(-0.18480173587997673) q[0];
rx(-0.2449776184979738) q[1];
rz(0.31834320047941134) q[1];
rx(0.8890782725124345) q[2];
rz(-0.09071610682398124) q[2];
rx(0.025665816793467622) q[3];
rz(-0.07031166353243012) q[3];
rx(0.0054482648087566315) 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": []} | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIZIII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.970124 | [
0.7675357342175749,
-0.13075798510883022,
-0.2449776184979738,
0.1871783546586522,
0.8890782725124347,
-0.049947591842383746,
0.02566581679346762,
0.0030859083627749473,
0.005448264808756631,
0.5874428011585786,
0.27754671454581936,
0.9508178434365301,
0.03123128439544767,
0.02949286552577... | {
"n_parameters": 78,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
03ff3a7533d396b93efc645d4aae3cbe | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 170.9335014820099} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-3.4097) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"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,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
13897d244e0881b4447dd2a9a298bf14 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [37, 27], "expectation_value": -0.1809275970030575, "params": [[-0.0763], [0.07880000000000001]], "bitstrings": ["1011010", "1100100"], "total_optimization_steps": 10, "probabilities": [0.009066846126232509, 0.009259353145489297], "optimization_time": 1.4027063846588135} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
117d5eadcb002c843d1e10097e462227 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [32, 48], "expectation_value": -2.018590432876443, "params": [0.8066, 0.0041, 0.8015, 0.0041, 0.0028, 0.524, 0.0023, 0.6003000000000001, 0.0028, 0.4873, 0.2914, -0.25780000000000003, 0.8048000000000001, 0.0089, 0.8082, 0.007, 0.0028, 0.0092, 0.0023, 0.01, 0.0028, 0.008700000000000001, 0.2841, 0.0062000000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0... | 3 | 6 | 2 | {"smallest_eigenvalues": [-3.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0625, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 4.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IIIZZZ",
"IZIIZZ",
"IIZIZZ",
"IZIZIZ",
"IIZZIZ",
"IZZIIZ",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZIZZZ",
"IIZZZZ",
"IZZIZZ",
"IZZZIZ",
"IZZZZI",
"IZZZZZ",
"ZII... | [
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,
0.5,
-0.0625,
-0.0625,
-0.5625,
... | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
3f15d8a3a52bb3495503dcce203eb5e8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -34.83405482708024, "params": [[-0.0345, -0.004200000000000001, 0.0055000000000000005, 0.011300000000000001], [0.064, 0.062, 0.0651, 0.054]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.018364185615966387, 0.02145845982265638], ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
5,
20.5,
19.5,
8.5,
25,
12,
6
] | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
0acad2fdeed7a7a17f2c90927f605436 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [147, 659], "expectation_value": -6.571641044218941, "params": [0.8002, 0.7998000000000001, -0.0034000000000000002, -0.0058000000000000005, 0.8032, 0.8031, -0.0029000000000000002, -0.0034000000000000002, -0.0009000000000000001, 0.0028, 0.8066, 0.8049000000000001, 0.1558, 0.1509, 0.0058000000000000005, 0.0001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["0101101100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6302620202323488) q[0];
rz(0.005585580525945419) q[0];
ry(-0.01569419752785013) q[1];
ry(1.6854400821433617) q[2];
ry(-0.20204655057518583) q[3];
ry(0.14402112339212877) q[4];
ry(1.1838769740287913) q[5];
ry(0.09271328213594329) q[6];
ry(0.0811756296984012) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-0.5,
-0.5,
-0.5,
-2,
-1
] | 0.970256 | [
1.6302620202323488,
-0.01569419752785013,
1.6854400821433617,
-0.20204655057518583,
0.14402112339212877,
1.1838769740287913,
0.09271328213594329,
0.0811756296984012,
1.2540647762256496,
1.3987787088559274,
0.011171161051890838,
0.15476356601257546,
0.3371274427667033,
-0.22404385676388333,... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 21 |
f4049ee4ef3c97400e40874ce09ab532 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [370, 338], "expectation_value": -3.7480922520164697, "params": [[[0.8623000000000001, -0.0002], [-0.0054, -0.433], [0.9016000000000001, -0.0009000000000000001], [0.7313000000000001, -0.021500000000000002], [0.8502000000000001, -0.0031000000000000003], [0.7159, -0.0533], [-0.0017000000000000001, -0.4863], [0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["110010101", "010101101", "010011101", "110100101", "000101111", "100100111"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.041824466373015) q[0];
ry(2.6565710996472025) q[0];
rz(-1.182521019880603) q[0];
rz(-1.2666006584732492) q[1];
ry(0.12624168521207274) q[1];
rz(-0.08978993871267571) q[1];
rz(2.188216141298356) q[2];
ry(2.983688866648697) q[2];
rz(-1.0580036095931686) q[2];
rz(1.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIIZ",
"IIIIIZIZI",
"IIZZIIIII",
"IIZIIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-1.5,
-2,
-0.5,
-1,
-0.5,
-0.5
] | 0.972233 | [
1.6523861579628516,
0.24454527968082126,
-0.13243514302641024,
-1.2645737415052611,
1.1180701649476492,
0.09612385550853161,
-0.030911533409647342,
-0.16606444130305553,
1.308559073086063,
-0.15658697501173408,
0.03126376899277696,
0.29694183450443934,
0.10257815902736864,
-0.4547966482891... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
97aa58ef0b431934bfaa14698e7612e3 | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 23.966216802597046} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3be62d904e3c491ed9eeb750b53bffe0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -15.38089629960231, "params": [[0.0371, 0.0038], [-0.06420000000000001, -0.0426]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009883671172128128, 0.01015847087496276], "optimization_time": 2.9913556575775146} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21168570971743653) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.21168570971743653) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21168570971743653) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.21168570971743653) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
11,
6,
18,
19,
3,
14.5,
3,
16
] | 0.973688 | [
-0.21168570971743653,
1.9308856659451843,
-0.7604456361294802,
2.2336652977818137,
0.9512505163062746,
-1.0949576031587098,
1.4022228748807728,
0.4690458748432811,
-0.3776214951120504,
0.21283364112687017,
-0.12348753682552199,
-0.5123941432253454,
-0.4469842718237369,
0.846666572969099,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 46 |
69f8cd3d82c8c8a705ea1003fa425ab5 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 7},... | {"states": [126, 2046], "expectation_value": -24.344358093170705, "params": [[[-0.0026000000000000003, 0.0085], [-0.0025, 0.0036000000000000003], [-0.0029000000000000002, 0.0048000000000000004], [1.4772, 0.0083], [-0.0064, 0.0053], [-0.0027, 0.0054], [-0.0027, 0.0055000000000000005], [-0.0022, 0.0085], [-0.0022, 0.0076... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -2.... | 2 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06871320041788104) q[0];
rz(0.02403526968678593) q[0];
rx(0.1757979927915544) q[1];
rz(0.09005726582206265) q[1];
rx(0.0727500925463703) q[2];
rz(0.007773099346719235) q[2];
rx(0.6625222809148761) q[3];
rz(-0.35816320416543646) q[3];
rx(0.1928905583290142) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IZIIZIIII... | [
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
0.5,
-3,
0.5,
-2.5,
-3,
0.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.975643 | [
-0.06871320041788104,
0.02403526968678593,
0.1757979927915544,
0.09005726582206265,
0.0727500925463703,
0.007773099346719235,
0.6625222809148761,
-0.35816320416543646,
0.1928905583290142,
0.15210761636990652,
0.08233554905523893,
-0.16390476532265694,
-0.267439631907905,
0.0412431241356614... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 16 |
8478079238054624200 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 7], [8, 5], [4, 5], [0, 4], [2, 6], [5, 6], [8, 6], [1, 5], [0, 1], [0, 5], [2, 5], [0, 6], [1, 7], [3, 7], [8, 2], [6, 7], [8, 1], [0, 3]]} | {"states": [180, 181], "expectation_value": -3.727439687806224, "params": [0.0135, 0.0074, -0.0187, 0.0027, 1.5801, -0.0811, 1.3836000000000002, 0.0039000000000000003, 0.30670000000000003, 0.1573, -0.0655, 0.0037, 1.5829, -0.0995, 1.4078000000000002, 0.0047, 1.5854000000000001, -0.0848, 1.3269, 0.007200000000000001, 1.... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011110100", "100001011", "101001010", "010110101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05914141849523635) q[0];
rz(1.6853226972487825) q[0];
rx(1.693956932384595) q[1];
rz(1.6730014777928535) q[1];
rx(0.11375287015735655) q[2];
rz(1.5254152388922435) q[2];
rx(1.6429511212411778) q[3];
rz(1.5307564865851297) q[3];
rx(1.6236727947193133) q[4];
rz(1.681... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIZIIZII",
"IZIIIZIII",
"IIIIIZIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970939 | [
0.05914141849523635,
0.11452637045388601,
1.693956932384595,
0.10220515099795703,
0.11375287015735656,
-0.04538108790265299,
1.6429511212411776,
-0.04003984020976693,
1.6236727947193133,
0.11104180730629548,
0.0808746656713405,
0.3934674025648919,
1.5872287499959328,
-0.04927504611646044,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 59 |
2005666732098165609 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 5, 6, 9, 10], [0, 4, 6, 8, 9, 11], [3, 4, 8, 9, 11], [0, 4, 5, 9, 11, 12], [2, 6, 7, 8, 9, 12], [1, 4, 5, 7, 8, 11, 12], [0, 2, 7], [3, 2, 11, 7], [1, 2, 3, 10, 11, 12], [0, 1, 10, 5], [9, 2, 3], [4, 6, 7, 8, 9, 11, 12], [0, 6, 7, 9, 10, 11, 12], ... | {"states": [7915, 6891], "expectation_value": -4.715610620520807, "params": [[[1.8011000000000001, 0.0032, 0.0043, 0.006200000000000001], [0.1827, 0.026600000000000002, 1.5704, 0.005200000000000001], [1.5613000000000001, 0.0007, 0.0049, 0.0092], [0.22110000000000002, 0.0027, 1.5026000000000002, 0.0018000000000000002], ... | 0.05 * (Z(2) @ Z(5)) + 0.23095238095238096 * (Z(6) @ Z(5)) + 0.1904761904761905 * (Z(6) @ Z(2)) + 0.2142857142857143 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(2)) + 0.32857142857142857 * (Z(9) @ Z(6)) + 0.24047619047619045 * (Z(10) @ Z(5)) + 0.08333333333333334 * (Z(10) @ Z(2)) + 0.2976190476190476 * (Z(10) @ Z(... | 12 | 13 | 1 | {"smallest_eigenvalues": [-6.245238095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.190476190476188, "smallest_bitstrings": ["0010100010100"], "largest_eigenvalue": 30.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.4806862704218586) q[0];
rz(-0.5146830233006436) q[0];
ry(-0.5017177691107946) q[1];
rz(-0.2650363143292358) q[1];
cz q[1], q[0];
ry(2.364663855182922) q[1];
ry(-0.03925699064412226) q[2];
rz(-0.4105539346032967) q[2];
ry(-0.2280753670598349) q[3];
rz(-0.1731008427... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZIIZII",
"IIIIIIZZIIIII",
"IIIIIIZIIIZII",
"IIIZIIIZIIIII",
"IIIZIIIIIIZII",
"IIIZIIZIIIIII",
"IIZIIIIZIIIII",
"IIZIIIIIIIZII",
"IIZIIIZIIIIII",
"IIZZIIIIIIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIIIZ",
"IIIZIIIIIIIIZ",
"IIZIIIIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIIZIZ... | [
0.05,
0.23095238095238096,
0.1904761904761905,
0.2142857142857143,
0.3333333333333333,
0.32857142857142857,
0.24047619047619045,
0.08333333333333334,
0.2976190476190476,
0.23809523809523808,
0.1738095238095238,
0.41666666666666663,
0.24761904761904757,
0.22142857142857142,
0.214285714285... | 0.971688 | [
3.4806862704218586,
-0.5146830233006436,
-0.5017177691107946,
-0.2650363143292358,
-0.03925699064412226,
-0.4105539346032967,
-0.2280753670598349,
-0.17310084278177218,
0.16189601814009516,
-0.06256382633225097,
-0.2668957055393508,
3.268682016988043,
0.040381641770574475,
0.03574658011167... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -6.245238095238095,
"target_ratio": 0.97,
"target_value": -6.057880952380952
} | 35 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -12.903800621319354, "params": [[0.0835, -0.0162], [-0.15360000000000001, -0.1375]], "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 20, "probabilities": [0.004169477749266573, 0.004472459919350827], "optimization_time": 5.021058082580566} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
878d094d83cd61d556f3c6e9e2f56136 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [55, 63], "expectation_value": -4.507620932892197, "params": [[0.0697, 0.058800000000000005, 0.0737, 0.0707], [-0.0787, -0.047400000000000005, -0.062200000000000005, -0.06330000000000001]], "bitstrings": ["11001000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.018399966134452293, 0.02264... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.41940174620359777) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.08299545233313925) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.02029136466525549) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.026845424308... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] | 0.970066 | [
-0.41940174620359777,
-0.08299545233313925,
0.02029136466525549,
0.026845424308438882,
-0.1511074400226168,
0.3442445421496284,
0.09946714636891019,
-0.8605793429815163,
0.5448396532517783,
0.8051674819357516,
0.6962537412208902,
1.0029268111275338,
-1.4685811446877874,
-0.6337228587060129... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 207 |
9313084cc492e2aab2fbf1a94b6f25bf | 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": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [89, 93], "expectation_value": -4.97622261961587, "params": null, "bitstrings": ["10100110", "10100010"], "total_optimization_steps": 39, "probabilities": [0.4302002645041209, 0.431547027177787], "optimization_time": 46.843910217285156} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5044872271921961) q[0];
h q[1];
ry(0.7817244421400541) q[1];
h q[2];
ry(-0.6384678543212984) q[2];
h q[3];
ry(0.38704973127573605) q[3];
h q[4];
ry(1.56196623503395) q[4];
cx q[4], q[1];
ry(-0.7817244421400541) q[1];
cx q[4], q[1];
cx q[1], q[2];
ry(0.6384... | 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[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[... | [
"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 |
641715d728359ee981d7a3543c5c30a4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capac... | {"states": [520, 511], "expectation_value": -8.664548305271301, "params": [[[-0.012400000000000001, 0.18150000000000002], [-0.0016, -0.0034000000000000002], [0.0056, -0.0031000000000000003], [0.0064, -0.0023], [0.0059, -0.0028], [-0.0005, -0.0013000000000000002], [0.4194, -0.0016], [-0.0021000000000000003, 0.0026000000... | -0.5 * (Z(0) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.23303156752093054) q[0];
ry(0.041623128237904844) q[1];
ry(0.03109179038798683) q[2];
ry(0.013307819052873884) q[3];
ry(-0.07247950085337407) q[4];
ry(0.0880123982979336) q[5];
ry(0.07224784941901886) q[6];
ry(-0.001686252040885152) q[7];
ry(-0.9967155638341587) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZZIIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
0.25,
-0.25,
0.25,
0.75,
0.5,
-0.5,
-1.25,
-0.5,
-0.25,
1
] | 0.971421 | [
-0.23303156752093054,
0.041623128237904844,
0.03109179038798683,
0.013307819052873884,
-0.07247950085337407,
0.0880123982979336,
0.07224784941901886,
-0.001686252040885152,
-0.9967155638341587,
0.11941505612111912,
0.2850209726338214,
-0.020392237316460664,
-0.03304656930069785,
0.02534555... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 58 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [49, 1], "expectation_value": -1.8175012399420654, "params": [[0.0587, 0.061000000000000006, 0.0555], [-0.042, -0.0477, -0.049100000000000005]], "bitstrings": ["1001110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01669831256630961, 0.018841650448329195], "optimization_time": 3.064861297... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
dab40a2f654e93a72357d226e03c7017 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [855, 827], "expectation_value": -0.503230107652362, "params": [[0.0666, 0.0763, 0.0758, 0.0762], [-0.028800000000000003, -0.06330000000000001, -0.07, -0.0709]], "bitstrings": ["0010101000", "0011000100"], "total_optimization_steps": 10, "probabilities": [0.002583986760374135, 0.002583986760374137], "optimiz... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIZZIZIII",
"IIIZZIZIIZ",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZIZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 48615], "expectation_value": -14.650518996969575, "params": [[0.0091, 0.15810000000000002, 0.0819], [-0.0155, -0.161, -0.1779]], "bitstrings": ["0100000100101000", "0100001000011000"], "total_optimization_steps": 20, "probabilities": [0.0009913097115064717, 0.0009928845945697555], "optimization_time"... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0100001000011000"], "largest_eigenvalue": 69.50000000000028} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.014243045464342475) q[0];
rz(pi/2) q[0];
ry(0.47339641759489615) q[1];
ry(0.9477409961268048) q[2];
ry(0.8530870530941135) q[3];
ry(0.6736094485826715) q[4];
ry(0.6301478108490435) q[5];
ry(0.6323208850188416) q[6];
ry(-0.07959944305288852) q[7];
ry(0.90841950821... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIZIIZII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.972057 | [
-0.014243045464342475,
0.47339641759489615,
0.9477409961268048,
0.8530870530941135,
0.6736094485826715,
0.6301478108490435,
0.6323208850188416,
-0.07959944305288852,
0.9084195082130984,
0.10595333817837868,
0.8644001538004558,
0.7068495334682495,
0.9093136984371829,
0.7857326890626988,
0... | {
"n_parameters": 127,
"n_qubits": 16,
"optimal_eigenvalue": -20.499999999999876,
"target_ratio": 0.97,
"target_value": -19.884999999999877
} | 7 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 46.092204332351685} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
f2ba1cba76ebf70dad60d61ddb34ab54 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [82, 114], "expectation_value": -3.5622806627518804, "params": [0.39930000000000004, -0.0374, 0.3966, 0.0041, 0.3985, -0.028200000000000003, 0.40040000000000003, -0.0268, 0.40390000000000004, -0.0495, 0.39890000000000003, 0.0196, -0.0033, 0.2051, -0.0018000000000000002, 0.19840000000000002, -0.00310000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7543941912538985) q[0];
rz(-0.2973135532185305) q[0];
rx(1.0136037983846455) q[1];
rz(-0.4549579175298568) q[1];
rx(0.7270075443943155) q[2];
rz(-0.42331741035869586) q[2];
rx(0.07293848341388678) q[3];
rz(0.16558499177147779) q[3];
rx(-0.040452338185542364) 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": []} | [
"IIIZIIZ",
"IIZIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
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,
-1,
0
] | 0.9716 | [
0.7543941912538987,
-0.17849880660902132,
1.0136037983846455,
-0.3512189801095408,
0.7270075443943155,
-0.3312489911844281,
0.07293848341388678,
0.2507107626461243,
-0.04045233818554237,
0.13239119703441402,
1.0164269108152308,
-0.20182593386990874,
0.04938658288353154,
-0.3203455322742893... | {
"n_parameters": 68,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 20 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 6], "expectation_value": -4.5809074924895645, "params": [[-0.0687, -0.0509, -0.0366, -0.026600000000000002], [0.0796, 0.076, 0.0719, 0.0663]], "bitstrings": ["10110", "11001"], "total_optimization_steps": 10, "probabilities": [0.07925181824535946, 0.07925181824535948], "optimization_time": 4.365922451019... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
6620187651886527837 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3], [0, 2], [3, 4], [2, 5], [2, 6]]} | {"states": [150, 206], "expectation_value": -0.05649569502909396, "params": [[0.068], [-0.0704]], "bitstrings": ["01101001", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004363274918983768, 0.004363274918983768], "optimization_time": 1.4483916759490967} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101001", "10010110", "00110001", "11001110"], "largest_eigenvalue": 3.0} | 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[1];
rz(0.9427440989033157) q[1];
cx q[3], q[1];
rz(-8.535886664162717e-09) q[1];
rx(-0.7853981578700855) q[1];
h q[4];
cx q[3], q[4];
rz(0.9427440989033157) q[4];
cx q[3], q[4];
rz(-8.535886664162717e-09) q[3];
rx(-0.7853981578... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427440989033157,
-8.535886618083877e-9,
-0.7853981578700855
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 97 |
8829524051216040509 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [0, 6], [9, 11], [0, 7], [11, 7], [10, 7], [9, 7], [4, 7], [1, 4], [6, 7], [11, 4], [1, 5], [0, 1], [1, 11], [0, 8], [0, 9], [9, 2], [8, 2], [9, 3], [3, 6], [8, 3], [8, 6], [3, 5], [3, 7], [8, 5]]} | {"states": [1262, 1198], "expectation_value": -0.1217331649581645, "params": [[[1.4599, 0.005], [1.6842000000000001, 0.0033], [1.4048, 0.008700000000000001], [1.4433, 0.0006000000000000001], [1.717, 0.0015], [1.4928000000000001, 0.0097], [1.7133, 0.0028], [1.4171, 0.0029000000000000002], [1.6949, 0.0024000000000000002]... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["010010101110", "101111000011", "010000011100", "101101010001", "010000111100", "101111100011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.1443665107074108) q[0];
rz(1.354994653805862) q[0];
rx(3.2042611361832303) q[1];
rz(1.6230791447951958) q[1];
rx(-0.23236274821825062) q[2];
rz(0.6091970554184101) q[2];
rx(0.028151517913654417) q[3];
rz(0.237132054762553) q[3];
rx(3.3766088557893728) q[4];
rz(0.4... | 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": []} | [
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIZZIIIIII",
"IIIIIZIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIIIIIIIIIZI",
"ZIZIIIIIIIII",
"IZIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIIIZIIZI",
"ZIIIIIIZIIII",
"IIIIIIZIIIZI",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIIZIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972069 | [
0.1443665107074108,
1.354994653805862,
3.2042611361832303,
1.6230791447951958,
-0.23236274821825062,
0.6091970554184101,
0.028151517913654417,
0.237132054762553,
3.3766088557893728,
0.466508646174314,
0.05648752740614324,
-2.002848593841876,
3.08856168680924,
-0.8511067589285938,
-0.3226... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 39 |
82fbef622e63fd615445774db4f26c42 | 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": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [0, 384], "expectation_value": -5.385732081324716, "params": [[0.0651], [-0.0719]], "bitstrings": ["111111111", "001111111"], "total_optimization_steps": 10, "probabilities": [0.004273361326822076, 0.004428611423595975], "optimization_time": 0.8755733966827393} | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -4.0 * (Z(8) @ Z(2)) + 2.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(6)) + 2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 53.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(8.630344416546697e-08) q[0];
cx q[1], q[0];
rz(1.5707963749046865) q[0];
rx(-1.1971949552895071) q[0];
rz(1.5707963749046865) q[1];
rx(-1.1971949552895071) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.5611320575440737) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
-1,
-3.5,
1.5,
-4,
-4,
-3.5,
-4,
-3.5,
-4,
2.5,
-4,
-3.5,
2,
-4,
2,
-4,
1,
2,
-3.5,
-3.5,
-4,
1.5,
0.5,
0.5,
2.5,
-3.5,
-3,
-3.5,
-3.5,
-3.5,
-3
] | 0.511948 | [
8.630344416546697e-8,
-0.5611320575440737,
-0.21701450933668928,
-0.3653421325506257,
-0.24464438585254125,
-0.24503752903089412,
-0.23743744652107115,
1.570796374904687,
-1.0492214240862234,
-1.1971949552895074
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 283 |
5264b19f3401032e019b258a19fe08a0 | 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": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [125, 127], "expectation_value": -5.249511221139249, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 46, "probabilities": [0.24988560795313905, 0.24988560795313905], "optimization_time": 46.64962100982666} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
cad641d981f27f8814cde398a8be85de | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -14.445361892162634, "params": [[0.027100000000000003, 0.013900000000000001], [-0.0531, -0.056400000000000006]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008773899127543046, 0.009093841257317603], "optimization_time": 3.09651... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.02033561922445927) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.02033561922445927) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.02033561922445927) q[2];
cx q[0], q[2];
rz(-1.0904508794533765) q[0];
rx(-1.3918607712073752) 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
15,
16.5,
19,
11,
10.5,
5,
-5.5
] | 0.972252 | [
-0.02033561922445927,
-1.0904508794533765,
1.055304006344118,
1.1022288573420782,
1.6506512967533449,
1.4760983386336486,
1.5476974332698752,
-1.30212635577519,
-1.2415512013508558,
-1.3918607712073752,
0.29625920554545454,
0.21553265290304796,
0.8281149278783257,
1.5868965368529901,
0.5... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 34 |
4e83845ebeb70a6c3a2b73c5b1d3e8b5 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 9}, {"source": 1, "target":... | {"states": [904, 906], "expectation_value": -8.514298652070467, "params": [1.5704, 1.5675000000000001, 1.5753000000000001, 1.5724, 1.5732000000000002, 1.5730000000000002, -0.0021000000000000003, -0.0021000000000000003, -0.0029000000000000002, -0.0029000000000000002, 0.003, 0.0026000000000000003, 1.5730000000000002, 1.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["0001110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5425183056745317) q[0];
rz(0.64184190853737) q[0];
ry(1.5690269281390474) q[1];
ry(1.45029712544666) q[2];
ry(-0.06283136466208553) q[3];
ry(-0.034580102502950856) q[4];
ry(0.10501647541344702) q[5];
ry(1.4718358596082086) q[6];
ry(0.014407349516958375) q[7];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIZIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
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,
-2.5,
-1.5,
-1.5,
-1,
-2,
0,
-1.5,
-1.5,
0,
-1.5
] | 0.973053 | [
1.5425183056745317,
1.5690269281390474,
1.45029712544666,
-0.06283136466208553,
-0.034580102502950856,
0.10501647541344702,
1.4718358596082086,
0.014407349516958375,
1.3116314244065892,
-0.055721153205954485,
1.28368381707474,
-0.007329932233780012,
-0.78042344272744,
0.6837292853103132,
... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 5 |
294512af72c0fecd4cefe8fd6a356b5c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [130, 162], "expectation_value": -23.616088887421004, "params": [[[0.9066000000000001, 0.0009000000000000001], [0.42310000000000003, 0.2255], [0.8207, 0.0063], [0.0017000000000000001, 0.004200000000000001], [-0.0027, 0.678], [0.2911, 0.2918], [0.9023, 0.0004], [0.6486000000000001, -0.1322]], [[0.899400000000... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.0 * Z(0) + -2.5 * Z(2) + -4.0 * Z(1) + -6.0 * Z(3) + -11.0 * Z(4) + -5.0 * Z(5) + -0.5 * Z(6) + -3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["01011101"], "largest_eigenvalue": 73.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4,
-2.5,
-4,
-6,
-11,
-5,
-0.5,
-3.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
643378c73df7140dc1d8915521e64d49 | 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": [686, 678], "expectation_value": -83.30214527965131, "params": [[[0.5997, 0.3633], [0.5985, 0.4645], [0.125, 0.2912], [0.5972000000000001, 0.5553], [0.0731, 0.5571], [0.5971000000000001, 0.5720000000000001], [-0.1255, 0.5876], [0.005, 0.3906], [0.2684, 0.6046], [0.2192, 0.5855], [0.5827, -0.07740000000000001... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(8)) + 15.5 * Z(1) + -1.5 * Z(2) + 13.5 ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-117.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.1032072464750153) q[0];
ry(0.8885788515610803) q[1];
ry(-0.15199181440829634) q[2];
ry(1.2703451214866417) q[3];
ry(0.10233355685483547) q[4];
ry(0.5654729836790665) q[5];
ry(0.14817822580952028) q[6];
ry(0.06796023726934966) q[7];
ry(-0.07296465917324507) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZIIIIIZIII",
"IZIIIIIIIIZ",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15.5,
-1.5,
13.5,
2,
-5,
12,
-2.5,
13.5,
15.5,
19.5,
-2
] | 0.973776 | [
1.1032072464750153,
0.8885788515610803,
-0.15199181440829634,
1.2703451214866417,
0.10233355685483547,
0.5654729836790665,
0.14817822580952028,
0.06796023726934966,
-0.07296465917324507,
0.2548834928396782,
0.6452302368995598,
0.04423368597938389,
0.06930435402410356,
0.05996517104782352,
... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -117,
"target_ratio": 0.97,
"target_value": -113.49
} | 80 |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [53, 61], "expectation_value": -9.499999960416321, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 47, "probabilities": [0.49999999583450017, 0.49999999583450017], "optimization_time": 40.30268597602844} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) 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", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 13], "expectation_value": -1.9235559834794334, "params": [[[0.0024000000000000002, 0.009600000000000001], [0.0024000000000000002, 0.0058000000000000005], [1.6083, 0.0057], [1.6023, 0.0095], [0.9922000000000001, 0.0085], [1.6086, 0.003]]], "bitstrings": ["110110", "110010"], "total_optimization_steps": 16... | 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)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x0) q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIIZZI",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-1,
-0.25,
0,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -14.336464392384737, "params": [[-0.026000000000000002], [0.0805]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0036079696431567786, 0.0041963115851254475], "optimization_time": 2.1480977535247803} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h 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[2],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
6431010726793772415 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [3, 4, 6], [1, 2, 3], [3, 4, 5], [0, 3, 6], [2, 3, 4], [1, 4, 6], [4, 5, 6]]} | {"states": [123, 59], "expectation_value": -2.1123945221733464, "params": [1.2445000000000002, 0.9246000000000001, 1.0134, 0.009000000000000001, 1.881, 0.7325, 1.1009, 0.0026000000000000003, 1.8635000000000002, 0.3351, 1.2605, 0.0038, 1.8839000000000001, 0.16010000000000002, 1.1244, 0.008700000000000001, 0.7326, 0.9426... | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(1) @... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1000100", "1100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8513425735051834) q[0];
rz(1.4801975305626236) q[0];
rx(1.9872239595196413) q[1];
rz(0.9087147663523778) q[1];
rx(2.1938438685736323) q[2];
rz(0.17549453198440812) q[2];
rx(2.025800476243353) q[3];
rz(0.05438129854999518) q[3];
rx(0.2122678782722213) q[4];
rz(1.384... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIZI",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIIZIIZ",
"ZIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ"
] | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
1,
0.499999999999999... | 0.97596 | [
0.8513425735051834,
1.2403184987224618,
1.987223959519641,
0.9812102849264348,
2.1938438685736323,
0.12795897017820285,
2.025800476243353,
-0.0005418911274594346,
0.2122678782722213,
1.1468106891353382,
2.073673417922038,
0.49565390576556534,
2.0557498725727674,
0.5489384675324405,
-0.02... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 23 |
6ed1ddb0c37b8c42f6032d980e7fb546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.3187271258735258, "params": [[-0.055600000000000004], [0.0483]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009083373429405076, 0.009092794413752603], "optimization_time": 7.176076889038086} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.024454446097182985) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3069541494970769) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.024454446097182985) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-6.822630483254212e-06) 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] 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",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-0.75,
-0.25,
-1.25,
0.5,
-0.25,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0.25,
-0.25,
-1.75,
0,
-0.75,
-1,
3.5
] | 0.828374 | [
-0.024454446097182985,
0.3069541494970769,
-0.000006822630483254212,
-3.1278555237590693,
0.00014199144815494222,
-0.01953305798076947,
-1.570534837818748,
-1.5705391428806783,
-1.5708192020044294,
-1.5708952581243638,
1.5687173531789174
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 333 |
7c7664cb9cb13a35da50c3201e32fb16 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [48, 52], "expectation_value": -1.910677923044882, "params": [0.0339, 0.1032, 0.0357, 0.0952, 0.2061, -0.0137, 0.2021, -0.0111, 0.2048, -0.0206, 0.20070000000000002, -0.0091, 0.0379, 0.10200000000000001, 0.0297, 0.1024, 0.2016, -0.013000000000000001, 0.20120000000000002, -0.007500000000000001, 0.1159, 0.0681... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 5 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
0d24f2a57ba9d46e171f583242ee56f4 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.7157249090639617, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.1268847443811906, 0.27042006594617696], "optimization_time": 1013.4044659137726} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029296875000000004 * (Z(4) @ Z(0)) + -0.0013671875000000001 * (Z(4) @ Z(2)) + 0.00029296875000000004 * (Z(5) @ Z(1)) + -0.0013671875000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00126953125 * (Z(6) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.02207031249997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022070312499966, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.016992187499989} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.7274446182096648) q[0];
h q[1];
cx q[1], q[0];
ry(0.7274446182096648) q[0];
cx q[1], q[0];
ry(-0.23504074243707263) q[1];
cx q[0], q[1];
ry(0.23504074243707263) q[1];
cx q[0], q[1];
ry(-0.08159162338783676) q[0];
ry(0.4905191133466839) q[1];
h q[2];
ry(-0... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5945) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009765625,
-0.0009765625,
0.25,
0.00029296875000000004,
-0.0013671875000000001,
0.00029296875000000004,
-0.0013671875000000001,
0.25,
-0.00126953125,
0.0001953125,
0.00009765625,
-0.00126953125,
0.0001953125,
0.00009765625,
0.25,
-0.0006835937500000001,
0.0005859375000000... | 0.970539 | [
-1.4548892364193295,
-0.6125067657806321,
-0.9326847922307643,
-0.5690280434173688,
-1.3720605191875264,
-1.1527215257784185,
-1.185823726045559,
1.051868247802195,
-0.47008148487414525,
0.4905191133466839,
-0.09263640170028266,
0.9344690419445776,
0.12108277933887102,
0.6776201643750652,
... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.02207031249997,
"target_ratio": 0.97,
"target_value": -1.961408203124971
} | 104 |
1456130229166865380 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 5], [9, 4, 1], [8, 3, 7], [8, 4], [0, 3, 4, 6, 9], [8, 2, 3, 5], [2, 5, 7], [1, 5, 7], [9, 2, 4, 5]]} | {"states": [373, 629], "expectation_value": -2.371260481536262, "params": [[[1.391, 0.0076, 0.0049, 0.0019], [1.0231000000000001, 0.0025, 0.28800000000000003, 0.0019], [0.0024000000000000002, 0.006500000000000001, 0.005, 0.0037], [0.9046000000000001, 0.0026000000000000003, 1.1151, 0.0023], [2.7075, 0.0025, 0.0036000000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.3 * (Z(... | 12 | 10 | 1 | {"smallest_eigenvalues": [-2.7833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6999999999999993, "smallest_bitstrings": ["0110001010"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.9943486437048903) q[0];
rz(-0.04043974238307989) q[0];
ry(0.31984302443412677) q[1];
rz(0.09912477862250513) q[1];
cz q[1], q[0];
ry(0.5670328218809665) q[1];
ry(0.31915357023666224) q[2];
rz(0.21573828693806607) q[2];
ry(1.0892846582831934) q[3];
rz(0.06295777563... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"ZIIIIZIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"ZIIIIIZIII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZZIIIIIII"... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.05,
0.08333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.3,
0.08333333333333333,
0.5,
0.05,
0.08333333333333333,
0.05,
0.05,
0.25,
0.16666666666666666,
0.3333333333333333,
0.1... | 0.977595 | [
2.9943486437048903,
-0.04043974238307989,
0.31984302443412677,
0.09912477862250513,
0.31915357023666224,
0.21573828693806607,
1.0892846582831934,
0.06295777563986871,
3.1201399610785643,
-0.25646808220460976,
0.9042359500794201,
-0.3610434026809777,
0.45219142956253877,
0.6367745750506066,... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -2.7833333333333337,
"target_ratio": 0.97,
"target_value": -2.6998333333333338
} | 19 |
7032cc934d25ccc88ef0fef25c22438b | 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": [1309, 1293], "expectation_value": -96.13055205190128, "params": [0.5565, 0.06860000000000001, 0.271, 0.2968, 0.7664000000000001, 0.009600000000000001, 0.0008, 0.5605, 0.0058000000000000005, -0.4924, -0.0002, 0.4998, 0.3663, 0.3331, 0.7986000000000001, 0.006200000000000001, 0.7788, 0.0039000000000000003, -0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 10.5 * Z(1) + 5.5 * Z(0) + 12.5 * Z(2) + -5.5 * Z(3) +... | 18 | 11 | 4 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["01011110010"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.9870946173973115) q[0];
rz(0.11503536546917692) q[0];
rx(0.12696651113001456) q[1];
rz(0.1674318736336744) q[1];
rx(0.8933646799503157) q[2];
rz(-0.0524012993334214) q[2];
rx(-0.03315950949110856) q[3];
rz(0.5246163705368376) q[3];
rx(0.15888211171011413) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIZIIZIIIII",
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIIZIIIIIZI",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10.5,
5.5,
12.5,
-5.5,
16.5,
-4.5,
11,
21.5,
8,
-2,
-3.5
] | 0.979408 | [
0.9870946173973115,
0.14008622734787693,
0.12696651113001456,
0.1674318736336744,
0.8933646799503157,
-0.0524012993334214,
-0.03315950949110856,
0.5246163705368376,
0.15888211171011413,
-0.7482225412037484,
0.0001791192027958237,
0.38605244007058404,
-0.007950060581808489,
0.19380798477595... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 11 |
e674cea924f076db65557e199b610fe1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [52, 180], "expectation_value": -5.3142515926543, "params": [0.6004, -0.0027, 0.0074, 0.0045000000000000005, 0.6996, 0.001, 0.6992, -0.0034000000000000002, 0.0218, -0.2368, 0.7072, 0.0333, 0.2861, -0.3064, -0.006200000000000001, 0.38680000000000003, 0.5949, -0.0028, 0.060700000000000004, -0.0023, 0.695000000... | 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 *... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01001011"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6592490830537747) q[0];
rz(1.5840244176905767) q[0];
rx(-0.09084214298378586) q[1];
rz(1.4349664805372822) q[1];
rx(0.9325395950069018) q[2];
rz(1.4442861499658584) q[2];
rx(1.443998946102506) q[3];
rz(1.542759940762239) q[3];
rx(0.11982177502863303) q[4];
rz(1.467... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
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,
-1.5,
-1.5,
-1,
-1.5,
-1,
-1,
0
] | 0.973593 | [
0.6592490830537746,
0.013228090895680295,
-0.09084214298378587,
-0.1358298462576145,
0.9325395950069018,
-0.12651017682903795,
1.4439989461025058,
-0.028036386032657627,
0.11982177502863303,
-0.10319719121109074,
0.875659126705743,
0.0401391973272025,
-0.03373302471458198,
-0.5882747786604... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
9bd43a9beaf28e402bfdc5e326b011bb | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [279, 343], "expectation_value": -3.503901933555218, "params": [[[0.1577, 0.005], [1.6039, 0.0026000000000000003], [0.0019, 0.0045000000000000005], [1.5968, 0.0074], [0.5605, 0.003], [1.6001, 0.0022], [0.138, 0.0091], [1.6037000000000001, 0.006], [1.605, 0.005200000000000001], [1.6085, 0.007200000000000001]]... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(6) + -1.0 * Z(7) + -0.5 * Z(4) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010101000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.05874181468905569) q[0];
rz(-0.5921513176980353) q[0];
rx(3.5396484336718106) q[1];
rz(-0.12917689187936685) q[1];
rx(-0.027869615305594946) q[2];
rz(-1.7967460274664806) q[2];
rx(3.1092475420409333) q[3];
rz(-0.8770019130755513) q[3];
rx(-0.1634210519879608) 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": []} | [
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIZIIIII",
"ZIIIIIIIII"... | [
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,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.972266 | [
-0.05874181468905569,
-0.5921513176980353,
3.5396484336718106,
-0.12917689187936685,
-0.027869615305594946,
-1.7967460274664806,
3.1092475420409333,
-0.8770019130755513,
-0.1634210519879608,
0.9848126075891442,
3.3769422959578472,
1.5512996337150244,
-0.1285960436466112,
-0.414877562382465... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 30 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.411633546218451, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 17, "probabilities": [0.06012617716668137, 0.7888212083319179], "optimization_time": 8.3954918384552} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
24c6ba1cf87c50d16f783c2bbcb71e4d | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -13.155767344383786, "params": [[[0.002, 1.6055000000000001], [0.0019, 0.002], [0.0017000000000000001, 0.0021000000000000003], [0.0017000000000000001, 0.0019], [0.002, 0.0019], [0.002, 0.0019], [0.0033, 0.0026000000000000003], [0.0028, -0.0028], [-0.0027, 0.0031000000000000003... | -2.0 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -1.0 * Z(7) + 1... | 15 | 11 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000000", "00000011000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.192912112352668) q[2];
cx q[3], q[2];
rz(0.1731141572260806) q[2];
rx(-1.0475598942249782) q[2];
rz(0.1731141572260806) q[3];
rx(-1.0475598942249782) q[3];
h q[4];
cx q[4], q[0];
rz(-0.8223775866470733) q[0];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.631023 | [
-0.8223775866470733,
-0.5778016806618127,
-1.1178634501934122,
-1.192912112352668,
0.1731141572260806,
-1.0475598942249784
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 166 |
2708e64afd9eb73eacbeb72ef9f331f9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [2040, 2032], "expectation_value": -1.656476403390119, "params": [[-0.0882], [0.08120000000000001]], "bitstrings": ["00000000111", "00000001111"], "total_optimization_steps": 10, "probabilities": [0.0009088045722082973, 0.0009095017748643771], "optimization_time": 3.015353202819824} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(10)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.712210288346674) q[0];
cx q[1], q[0];
rz(0.17289784145169573) q[0];
rx(0.9104856359575078) q[0];
rz(0.17289784145169573) q[1];
rx(0.9104856359575078) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.5255163802524241) q[2];
cx q[3], q[2];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIII... | [
-1,
-2.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
1
] | 0.541253 | [
1.712210288346674,
0.5255163802524241,
0.1728978414516952,
1.3305514112292647,
0.7621523795302186,
-0.1618890499997522,
0.9104856359575079
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 180 |
2496648772722659008 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7], [2, 5, 6], [8, 4, 5, 7], [8, 1, 4, 7], [0, 3, 6, 7], [8, 0], [5, 6, 7], [8, 1, 5, 7], [2, 3], [1, 5, 6], [8, 6], [0, 5, 7], [8, 1, 3, 4], [0, 1, 4, 7]]} | {"states": [316, 444], "expectation_value": -0.07657501360236214, "params": [[-0.042800000000000005], [0.0536]], "bitstrings": ["011000011", "001000011"], "total_optimization_steps": 10, "probabilities": [0.0020634830562986576, 0.0020639389165161394], "optimization_time": 4.968095541000366} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.41666666666666663 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333333, "smallest_bitstrings": ["001000011"], "largest_eigenvalue": 12.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.025517225265537485) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.07439354016009812) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.14101454734620655) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(-0.02... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIZIIIZ",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIIIIZZ",
"IIZIIIIZI",
"IZIIIIIZI",
"... | [
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16... | 0.609078 | [
-0.025517225265537485,
-0.07439354016009812,
0.14101454734620655,
-0.35006891350803127,
0.1932327738528487,
-0.7562266168615589,
-0.6101250083957948,
0.2899636818473333,
-0.07481361635863538,
-1.0797904624456647,
-0.19396208325148173,
-1.4892405148905519,
0.9126516366530254
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.916666666666667,
"target_ratio": 0.97,
"target_value": -3.799166666666667
} | 303 |
5209090614501508436 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 7], [8, 4, 5], [1, 4, 6, 7], [1, 3, 6, 7], [0, 2, 3, 6, 7, 8]]} | {"states": [437, 245], "expectation_value": -0.819862677393066, "params": [[0.379], [-0.3849]], "bitstrings": ["001001010", "100001010"], "total_optimization_steps": 40, "probabilities": [0.004843096651432924, 0.004843096651432925], "optimization_time": 4.873814821243286} | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.13095238095238096 * (Z(2) @ Z(0)) + 0.13095238095238093 * (Z(3) @ Z(1)) + 0.13095238095238096 * (Z(3) @ Z(0)) + 0.13095238095238096 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.073809523809... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.614285714285714, -1.614285714285714], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5666666666666664, "smallest_bitstrings": ["001001010", "100001010"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.346453017466467e-07) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.346453017466467e-07) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(2.127894507176389e-06) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(2.127894507176389e-06) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.047619047619047616,
0.047619047619047616,
0.13095238095238096,
0.13095238095238093,
0.13095238095238096,
0.13095238095238096,
0.10714285714285714,
0.07380952380952381,
0.07380952380952381,
0.07380952380952381,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.0476190476... | 0.948378 | [
3.346453017466467e-7,
0.000002127894507176389,
-0.0000010552842199638724,
5.063217414476964e-7,
-0.0000024494925560037533,
2.395424787781462e-7,
7.364761899941717e-7,
0.000001162477036328994,
-0.000001173869493928281,
-0.0000014628950961789425,
-3.4380184700512256e-7,
0.000002149754061786842,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -1.614285714285714,
"target_ratio": 0.97,
"target_value": -1.5658571428571426
} | 500 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 9], "expectation_value": -0.31866489438660384, "params": [[-0.0664, -0.053200000000000004, -0.0591, -0.012100000000000001], [0.0799, 0.07010000000000001, 0.07680000000000001, 0.057100000000000005]], "bitstrings": ["10010", "10110"], "total_optimization_steps": 10, "probabilities": [0.04382468255727613, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
cf9a1540b011355d554ff1ed574e9153 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [29, 85], "expectation_value": -0.127289472611529, "params": [[-0.040600000000000004, -0.0057], [0.0584, 0.029]], "bitstrings": ["1100010", "0101010"], "total_optimization_steps": 10, "probabilities": [0.00857748423292222, 0.008684320219684396], "optimization_time": 2.70355486869812} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"], "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(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | 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",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
c1d9081f426eb25143fb28fcb61c6832 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [359, 295], "expectation_value": -70.37025509890975, "params": [1.3960000000000001, -0.2218, 0.45170000000000005, -0.46490000000000004, 0.7913, 0.4328, 1.4046, 0.0074, 0.0026000000000000003, -1.0268000000000002, 0.0031000000000000003, 0.8480000000000001, 1.3853, 0.0006000000000000001, 1.4053, -0.004200000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 23.0 * Z(0) + 3.5 * Z(1) + 9.0 * Z(3) + 16.0 * Z(2) + 16.0 * Z(6) + 1.5 * Z(7) + -5.5 * Z(5) + 15.0 ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["011011000"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3945286713863012) q[0];
rz(-0.28226576585478114) q[0];
rx(0.1773550878268364) q[1];
rz(-0.455381100313468) q[1];
rx(0.27211372736373934) q[2];
rz(0.17549272002026337) q[2];
rx(1.3772511205834252) q[3];
rz(0.22197076072468827) q[3];
rx(0.12992493517655992) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23,
3.5,
9,
16,
16,
1.5,
-5.5,
15,
-9
] | 0.978748 | [
1.394528671386301,
-0.29240769556194257,
0.1773550878268364,
-0.455381100313468,
0.27211372736373934,
0.17549272002026337,
1.3772511205834252,
0.22197076072468827,
0.12992493517655992,
-1.0465826666241218,
-0.0739302771046759,
1.0266872572574703,
1.4731087837945926,
0.05743886461347414,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 9 |
2eca61fff51d1465adac5cd3931704d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -20.017636878321248, "params": [[[0.0284, -0.4305], [-0.0006000000000000001, 0.0028], [-0.00030000000000000003, -0.0021000000000000003], [-0.0033, 0.0014], [0.002, -0.0025], [-0.0034000000000000002, -0.0026000000000000003], [-0.0015, -0.0028], [-0.0024000000000000002, 0.0016]... | -0.75 * (Z(0) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(5)) + -1.25 * (Z(1) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(8)) + -0.5 * (Z(2) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.09316930689408885) q[0];
ry(0.21333692274022265) q[1];
ry(0.1629944162923454) q[2];
ry(0.023389060924799157) q[3];
ry(0.0007562693018981076) q[4];
ry(-0.005530941405325361) q[5];
ry(-0.015517362225890924) q[6];
ry(0.024072710998206914) q[7];
ry(0.5750766340380983)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIZIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII"... | [
-0.75,
-1,
-1,
-1.25,
-0.75,
-1,
-0.75,
-0.75,
-0.25,
2,
-0.5,
-0.75,
-1.25,
-0.5,
-1.25,
-1,
-0.25,
-1,
-0.75,
-0.75,
-1.25,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-1.75,
-1.75,
-0.25,
-2,
-2.75,
0.5,
0,
-1.5,
5.5,
1.25,
1
] | 0.970686 | [
0.09316930689408885,
0.21333692274022265,
0.1629944162923454,
0.023389060924799157,
0.0007562693018981076,
-0.005530941405325361,
-0.015517362225890924,
0.024072710998206914,
0.5750766340380983,
0.16252240808292578,
-0.48692566296975803,
-0.1192120830275165,
0.023305846483659954,
0.0229257... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 48 |
155388a51f67e78b5cb4ef00a89a070e | 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": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [67, 71], "expectation_value": -2.1111847198800358, "params": [0.1973, 0.006500000000000001, 0.2005, 0.0045000000000000005, 0.1278, -0.0349, 0.112, -0.0345, 0.19460000000000002, -0.0017000000000000001, 0.18580000000000002, -0.0016, 0.1451, -0.0038, 0.1333, -0.0024000000000000002, 0.1993, -0.00240000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 6 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101010", "0111000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5552024880387824) q[0];
rz(2.173491543047642) q[0];
rx(-0.021432730878157114) q[1];
rz(1.5854448914960635) q[1];
rx(0.08647489835213272) q[2];
rz(1.4767621538449163) q[2];
rx(-0.14845667224857556) q[3];
rz(0.9389022761135877) q[3];
rx(0.7033000905919017) 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZZIII",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-0.5,
0,
0
] | 0.970783 | [
0.5552024880387824,
0.602695216252745,
-0.021432730878157114,
0.014648564701166138,
0.08647489835213272,
-0.09403417294998005,
-0.14845667224857556,
-0.6318940506813102,
0.7033000905919017,
-0.5231828220558223,
0.16331503638394998,
-0.06395732096708569,
0.6571705851500236,
-0.1287814249440... | {
"n_parameters": 125,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 172 |
-7327123137607305652 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 6, 7, 8], [0, 1, 2, 3, 4, 5, 6, 7, 9], [8, 9, 2, 5], [0, 1, 3, 5, 6, 8]]} | {"states": [999, 995], "expectation_value": -0.7676099414337911, "params": [1.9626000000000001, 0.0726, 1.0935000000000001, 0.001, 1.963, 0.0799, 1.0804, 0.0092, 1.9666000000000001, -0.0743, 1.0550000000000002, 0.0001, 1.9657, 0.0954, 1.0755000000000001, 0.0058000000000000005, 1.6003, 0.1264, 1.4161000000000001, 0.0013... | 0.07103174603174603 * (Z(0) @ Z(1)) + 0.037698412698412696 * (Z(2) @ Z(1)) + 0.037698412698412696 * (Z(2) @ Z(0)) + 0.07103174603174603 * (Z(3) @ Z(1)) + 0.07103174603174603 * (Z(3) @ Z(0)) + 0.037698412698412696 * (Z(3) @ Z(2)) + 0.07103174603174603 * (Z(6) @ Z(1)) + 0.07103174603174603 * (Z(6) @ Z(0)) + 0.03769841269... | 5 | 10 | 1 | {"smallest_eigenvalues": [-0.8071428571428574, -0.8071428571428574, -0.8071428571428574, -0.8071428571428574], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.8071428571428572, "smallest_bitstrings": ["0000011100", "1000010100", "0100010100", "0001010100"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.2174895029322346) q[0];
rz(0.2834627319547316) q[0];
rx(2.1226977799127855) q[1];
rz(-0.4249722460399661) q[1];
rx(2.010003766362842) q[2];
rz(0.029344713980440584) q[2];
rx(1.8995466493832593) q[3];
rz(-0.15767825204870123) q[3];
rx(1.5282303454648758) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIZIIIIII"... | [
0.07103174603174603,
0.037698412698412696,
0.037698412698412696,
0.07103174603174603,
0.07103174603174603,
0.037698412698412696,
0.07103174603174603,
0.07103174603174603,
0.037698412698412696,
0.07103174603174603,
0.037698412698412696,
0.037698412698412696,
0.037698412698412696,
0.03769841... | 0.971424 | [
2.2174895029322346,
0.3415875321278491,
2.1226977799127855,
-0.4577737708544006,
2.010003766362842,
0.04734806134420669,
1.8995466493832591,
-0.16835211041935078,
1.528230345464876,
0.009406667105809494,
0.9385684675886635,
0.8392175251297302,
0.5048249128554715,
-0.8455841009844938,
0.9... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -0.8071428571428574,
"target_ratio": 0.97,
"target_value": -0.7829285714285716
} | 61 |
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": -2.6843965897447846, "params": [[0.0352, -0.0014, -0.0451, -0.0751], [-0.0524, -0.0494, -0.0019, 0.06430000000000001]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008810546844648449, 0.009222362747654443], "optimization_time": 5.7... | -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 | 4 | {"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] 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": []} | [
"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 |
4237845c232746c3e0d0cf50f5cff487 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -13.428734424923888, "params": [[-0.031200000000000002], [0.079]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003725470996571205, 0.004374759419357048], "optimization_time": 2.109272003173828} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.00651096302787409) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.00651096302787409) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.00651096302787409) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.00651096302787409) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"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,
4.5,
23,
13,
19,
15,
10,
14,
-2,
2,
8
] | 0.977914 | [
-0.00651096302787409,
-1.3030672953464548,
1.350121617930897,
-1.4606460853675483,
-1.755055254032435,
-1.346866722652734,
-1.4301833371395873,
1.2674560608490602,
1.750950960923734,
2.0766284104101964,
1.6707514667144105,
-0.4138703775094488,
0.44449792191987664,
-0.4200048714281165,
-2... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 115 |
4941855664054483321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 6, 7, 8], [0, 1, 4, 5, 7, 9], [3, 4, 5, 6, 9], [0, 3, 5, 6], [1, 2, 4, 7, 8], [0, 1, 2, 3, 4, 7], [8, 0, 4, 6], [1, 3, 4, 5, 7], [0, 3, 4, 6, 7, 9], [1, 4, 5, 7, 8, 9], [2, 3, 6, 7, 8], [1, 3, 4, 6, 9], [0, 1, 4, 5, 6, 9], [2, 3, 5, 6, 8], [1, 2, 4, 6, ... | {"states": [754, 1010], "expectation_value": -3.0382748289168267, "params": [1.528, -0.0167, 1.6046, 0.005, 0.8360000000000001, 0.3442, 0.8452000000000001, 0.0008, 1.5686, -0.005, 1.5704, 0.0028, 1.5812000000000002, -0.0027, 1.572, 0.0081, 1.5779, 0.0048000000000000004, 1.5749, 0.0078000000000000005, 1.5728, -0.0075000... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(0)) + 0.16666666666666669 * (Z(6) @ Z(1)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(... | 7 | 10 | 1 | {"smallest_eigenvalues": [-3.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.466666666666667, "smallest_bitstrings": ["0000001101"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.696838496059836) q[0];
rz(0.03633451419500622) q[0];
rx(1.3789187345527039) q[1];
rz(0.10604855787724175) q[1];
cx q[1], q[0];
rz(-0.08192601037244951) q[0];
cx q[1], q[0];
rx(1.6908628584199055) q[0];
rz(-0.029291139748595596) q[0];
rx(1.6773325364893075) q[1];
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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIZIZIIII",
"IIZIIZIIII"... | [
0.13333333333333333,
0.16666666666666669,
0.23333333333333334,
0.16666666666666669,
0.26666666666666666,
0.21666666666666667,
0.23333333333333334,
0.13333333333333333,
0.2,
0.15,
0.11666666666666667,
0.11666666666666667,
0.21666666666666667,
0.25,
0.2,
0.3333333333333333,
0.216666666... | 0.972922 | [
1.6968384960598357,
-0.04559149617744309,
1.3789187345527039,
0.10604855787724175,
1.749101712404094,
-0.01258299450414827,
1.6909751398522694,
0.25550788136968844,
1.486643058140083,
0.06702863313872993,
1.6617305275185834,
-0.030610824290268485,
-0.09753115099257142,
0.914987129149232,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -3.499999999999999,
"target_ratio": 0.97,
"target_value": -3.394999999999999
} | 13 |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -0.12497153602876176, "params": [[0.0461, 0.056900000000000006], [-0.035500000000000004, -0.0468]], "bitstrings": ["011100", "010101"], "total_optimization_steps": 10, "probabilities": [0.01768000663593212, 0.017680006635932125], "optimization_time": 2.0664987564086914} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
497ee7bf44af41c8b30000bed1ee6591 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [3046, 4070], "expectation_value": -2.5783747431429087, "params": [0.0937, 0.3038, 0.6956, 0.0671, 0.5006, 0.07100000000000001, 0.6982, 0.025900000000000003, 0.6971, 0.0286, 0.6859000000000001, 0.011000000000000001, 0.6940000000000001, -0.0025, 0.6974, -0.1202, 0.1953, -0.2939, 0.2837, -0.19820000000000002, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(5) @ Z(6... | 18 | 13 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.050282712528339664) q[0];
rz(0.3819994313632922) q[0];
rx(0.7278983687254371) q[1];
rz(0.26595169645320116) q[1];
rx(1.0710332974474701) q[2];
rz(0.10802912403681283) q[2];
rx(0.7917834020909341) q[3];
rz(0.008618002309822284) q[3];
rx(0.6737907487059026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIZIIIZIII",
"IIIIZIIIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
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,
... | 0.972317 | [
-0.050282712528339664,
0.5010991574351781,
0.7278983687254371,
0.26595169645320116,
1.0710332974474701,
0.10802912403681283,
0.7917834020909341,
0.008618002309822284,
0.6737907487059026,
-0.018196290142947116,
0.7405529885929926,
-0.015136811624490466,
0.977292248982019,
0.1120789656178997... | {
"n_parameters": 150,
"n_qubits": 13,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 23 |
ef1b258390ebdcaf766a21bfe0acae0d | 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": [1677, 1669], "expectation_value": -103.41224553450209, "params": [[[0.0105, -0.2828, 0.0085, 0.0081], [0.005, -0.27190000000000003, 0.8724000000000001, -0.017], [1.4869, -0.0471, 1.3096, -0.7707], [0.17420000000000002, 0.26130000000000003, 1.4029, -0.0359], [0.25930000000000003, -0.2565, 0.7829, 0.009000000... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 11 | 11 | 2 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"], "largest_eigenvalue": 199.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.012338726610556655) q[0];
rz(-0.37170012589606205) q[0];
ry(0.0476872494679831) q[1];
rz(-0.5053137796204226) q[1];
cx q[1], q[0];
ry(0.006635406687059288) q[0];
rz(-1.1633612743989978) q[0];
ry(1.0071800459754114) q[1];
rz(0.025252965295420045) q[1];
ry(1.5765213... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIZIIIIIIZ",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17.5,
22,
15,
15,
-3,
3,
14.5,
4,
5.5,
-10.5,
-11.5
] | 0.97313 | [
0.012338726610556655,
-0.37170012589606205,
0.0476872494679831,
-0.5053137796204226,
1.5765213721303417,
0.030769370762536982,
0.328659839796632,
0.31633809500665044,
0.5356017159864881,
-0.3852611641978907,
0.9669691743505578,
-0.5558288129003872,
0.5508957254489596,
0.08688187538745129,
... | {
"n_parameters": 79,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 30 |
b426b8aff164c6823b185eb6b091738d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [74, 75], "expectation_value": -2.028714147303015, "params": [[[1.6079, 0.0098, 0.0088, 0.0034000000000000002], [-0.0024000000000000002, -0.1287, 0.0028, 0.0094], [0.129, 0.0063, 0.008700000000000001, 0.0029000000000000002], [0.5505, -0.0031000000000000003, 1.2947, 0.0035], [0.0032, 0.0098, 0.004800000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 12 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "1001010"], "largest_eigenvalue": 6.0} | 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0
] | 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 |
918d0720354f72593c99e149eea5ed01 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 70], "expectation_value": -4.3166695461054125, "params": [[[0.0175, 0.0022], [0.0632, -0.0029000000000000002], [0.0006000000000000001, -0.0038], [-0.047900000000000005, -0.0947], [0.39530000000000004, 0.5086], [0.5067, 0.5022], [-0.1689, 0.0792]], [[0.49050000000000005, -0.0004], [0.0626, 0.0002], [-0.02... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
-1.5,
-1,
0
] | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
4635223547692081974 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 5], [9, 2], [8, 10], [1, 7], [11, 5], [0, 10], [8, 6], [1, 5], [11, 4], [2, 3], [10, 3], [9, 6], [0, 2], [8, 3], [9, 1], [3, 4], [4, 7], [0, 9], [2, 6], [8, 2], [5, 6], [10, 2], [1, 10]]} | {"states": [697, 689], "expectation_value": -0.13554262981617335, "params": [[[1.4169, 0.0033], [1.4224, 0.0011], [1.7288000000000001, 0.0033], [1.3903, 0.0053], [1.6818000000000002, 0.0011], [1.4484000000000001, 0.0071], [1.7313, 0.0046], [1.7242000000000002, 0.0074], [1.484, 0.008], [1.4602000000000002, 0.00210000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.5, "smallest_bitstrings": ["001010110111", "001010110011", "001010110101", "110111001100", "110101001010", "110111001000", "110101001110", "110101001000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.07268978256937086) q[0];
rz(-1.5413464569869553) q[0];
rx(0.07083317685027324) q[1];
rz(1.2816087548350326) q[1];
rx(3.042030090269596) q[2];
rz(-1.5413464569869553) q[2];
rx(0.4488926303029905) q[3];
rz(-1.4656393210986072) q[3];
rx(3.770291035193828) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIIZ",
"ZIIIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IZIIIIIIIZII",
"IIIIZIIIIIZI",
"ZIIIIIIIIIZI",
"IIIIIIIIIZZI",
"IIZIIIIIIIZI",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIZIIII",
"IZIZIIIIIIII",
"IIZIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.981056 | [
0.07268978256937086,
-1.5413464569869553,
0.07083317685027324,
1.2816087548350326,
3.042030090269596,
0.4488926303029905,
-1.4656393210986072,
3.770291035193828,
-0.011383088527924912,
-1.4750693795676164,
3.1342946732021315,
2.789272930491041,
3.2216033498666388,
-1.385187637706566,
0.0... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 47 |
dad38620d773633bef63523b985cc4e3 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [0, 3], "expectation_value": -14.495964291030063, "params": null, "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 31, "probabilities": [0.2499630868011432, 0.7496586741845004], "optimization_time": 31.793851613998413} | -2.5 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.5 * Z(2) + -2.0 * Z(0) + -2.0 * Z(4) + 1.5 * Z(1) + -2.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.24981548689144512) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6064908864021876) q[1];
rz(-pi) q[2];
ry(-0.13914387638666512) q[2];
h q[3];
ry(-1.6064908864021876) q[3];
h q[4];
ry(-1.6064908864021876) q[4];
h q[5];
ry(0.9318717701780149) q[5];
h q[6];
cx q[6], q[5];
ry(-0.... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIIZ",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
1,
-2,
-2.5,
0.5,
1,
0.5,
0.5,
-2,
-1,
-2.5,
-2,
-2,
1.5,
-2.5,
0.5,
0.5
] | 0.970165 | [
-1.6064908864021876,
-1.5304245341144085,
-1.5054957192055463,
1.8637435403560298,
1.7142630971988937,
0.41888738842191353,
-0.40131913225229343,
-0.512005429504395,
-0.6739855231293809,
-0.408888967952031,
0.34819861737409885
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 47 |
619ef6628655991ccc68a42283930f59 | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [15, 31], "expectation_value": -3.713673852560549, "params": [[[-0.0031000000000000003, 0.0066], [0.004, 0.004200000000000001], [1.5138, 0.0067], [1.4783000000000002, 0.0043], [0.0032, 0.0046], [1.6162, 0.0064], [1.6503, 0.0001], [1.7116, 0.0079], [1.7061000000000002, 0.0036000000000000003], [1.7135, 0.0054]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101110000", "0100111010", "1000011101", "1110101000", "1100111000", "1111100000", "0101110010", "1010001101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.25336401127654984) q[0];
rz(1.2354641801560964) q[0];
rx(0.010453992355631464) q[1];
rz(0.28488627726557725) q[1];
rx(3.1068243920894307) q[2];
rz(1.1883447055700405) q[2];
rx(2.938852489883531) q[3];
rz(0.07291854833713185) q[3];
rx(0.3573292550562416) 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": []} | [
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
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,
-1.5,
-1.5,
-0.5,
0,
-1,
-0.5,
-0.5,
0,
0
] | 0.974046 | [
-0.25336401127654984,
1.2354641801560964,
0.010453992355631464,
0.28488627726557725,
3.1068243920894307,
1.1883447055700405,
2.938852489883531,
0.07291854833713185,
0.3573292550562416,
-1.3247220944342053,
0.15089024313828825,
-0.15839231500377826,
-0.14274827496668133,
-0.2180584159340044... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 23 |
eea3b85f6c338196bfcd99350b0e2d9a | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [41, 69], "expectation_value": -0.40521791474674584, "params": [[-0.0748], [0.078]], "bitstrings": ["1010110", "0111010"], "total_optimization_steps": 10, "probabilities": [0.009242867788391769, 0.009242867788391776], "optimization_time": 1.4291813373565674} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110110", "1010110", "0111010"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.164147526782816e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.164147526782816e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.164147526782816e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(3.164147526782816e-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;
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",
"IZIIIIZ",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
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,
-2,
-2,
-1,
-1,
-0.5
] | 0.757576 | [
3.164147526782816e-9,
0.3398368793410832,
1.5707963369699605,
-1.5707963464211774,
1.57079635772165
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 162 |
9a3a3414616c79e03b68e777bcdd167d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [1919, 3967], "expectation_value": -19.747140420434565, "params": [[[-1.6491, 0.5998, 0.0029000000000000002, 0.0049], [0.0024000000000000002, -0.5997, -0.0025, 0.0074], [-0.0022, 1.1893, 0.0021000000000000003, 0.00030000000000000003], [2.7097, -1.2147000000000001, -0.0022, 0.0002], [-0.0026000000000000003, 1... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(10) @ Z(7)) + ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000010000000", "000011100000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-2.7059197056501088) q[0];
rz(0.6705925958397467) q[0];
ry(-0.2983950090605407) q[1];
rz(-0.782067219925759) q[1];
cx q[1], q[0];
ry(-0.09877066103219537) q[1];
rz(-0.21641383901910186) q[1];
ry(-0.17546311135116924) q[2];
rz(1.2478121654705001) q[2];
ry(3.117382607... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971261 | [
-2.7059197056501088,
0.6705925958397467,
-0.2983950090605407,
-0.782067219925759,
-0.17546311135116924,
1.2478121654705001,
3.1173826077478917,
-1.3580980626198436,
0.08229142787605355,
1.9911028461015787,
-0.03494623706655002,
0.24286481131163432,
0.49601503451113355,
0.9175346163789286,
... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 11 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [237, 173], "expectation_value": -0.2389125381405382, "params": [0.6036, 0.1076, 0.49450000000000005, 0.10600000000000001, 0.5987, 0.043300000000000005, 0.3937, -0.0937, 0.5930000000000001, -0.0238, 0.6066, -0.0134, 0.393, -0.09000000000000001, 0.6014, -0.016, 0.6024, 0.0981, 0.49670000000000003, 0.097, 0.60... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
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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,
0.125,
-0.125,
0.12... | 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 |
d1a7b7cf714c6ef8e95d1c5632642a08 | 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": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 959], "expectation_value": -8.927332742420548, "params": [-0.4602, 0.9096000000000001, 0.2897, 0.8107000000000001, -0.4796, 0.9079, 0.3381, 0.8458, 0.4736, 0.8033, -0.36710000000000004, 0.8175, -0.4536, 0.7522000000000001, -0.2526, 1.0156, -0.48700000000000004, 0.8623000000000001, 0.3975, 0.9397000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 6 | 10 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.6594434473268916) q[0];
rz(2.4281580670868266) q[0];
rx(-0.1314305132701061) q[1];
rz(2.688737749938543) q[1];
rx(0.21738323931720602) q[2];
rz(2.42959789534798) q[2];
rx(0.05597814352993894) q[3];
rz(1.769410372235825) q[3];
rx(-1.409247516446352) q[4];
rz(2.763... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924408 | [
-0.6594434473268918,
0.8573617402919295,
-0.13143051327010608,
1.117941423143645,
0.21738323931720602,
0.858801568553084,
0.05597814352993894,
0.19861404544092898,
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1.1928817521818944,
-0.5334353707557503,
1.0263500870205093,
-1.2542149501203599,
0.7407077702430986,
-0... | {
"n_parameters": 199,
"n_qubits": 10,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 22.739417791366577} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
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0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -8.142137109596879, "params": [[[-0.0137, -0.0011], [-0.0009000000000000001, -0.1143], [0.0009000000000000001, -0.0023], [0.0018000000000000002, -0.0032], [0.0005, -0.003], [-0.0049, -0.0029000000000000002], [-0.00030000000000000003, 0.0025], [-1.4017000000000002, -0.0025], [... | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07074011565942544) q[0];
ry(-0.034241740674030983) q[1];
ry(-0.02310418963090609) q[2];
ry(0.005094891914534702) q[3];
ry(-0.09267291565237382) q[4];
ry(-0.017933789297370564) q[5];
ry(-0.017844733894503077) q[6];
ry(-1.4761617350858658) q[7];
ry(-0.196414718262419... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1.25,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.5,
-1.25,
-0.25,
0.25,
0.5,
0,
-1,
1,
-0.5,
1.25
] | 0.970829 | [
0.07074011565942544,
-0.034241740674030983,
-0.02310418963090609,
0.005094891914534702,
-0.09267291565237382,
-0.017933789297370564,
-0.017844733894503077,
-1.4761617350858658,
-0.19641471826241974,
-0.01619831545614741,
-0.027941870608550645,
0.021450166630002546,
0.010960213137639908,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 52 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [703, 671], "expectation_value": -1.6497585605398348, "params": [0.5931000000000001, 0.2718, 0.1825, 0.3453, 0.5931000000000001, 0.2972, 0.17830000000000001, 0.3362, 0.3629, -0.15960000000000002, 0.5339, -0.15960000000000002, 0.5241, -0.111, 0.5958, 0.0039000000000000003, 0.5997, 0.009300000000000001, 0.6032... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIZIZIZ",
"IIZIIIIZIZ",
"IZIIIIIZIZ",
"IIZIIZIIIZ"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
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0.0625,
0.0625,
0.0625,
0.0625,
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0.0625,
0.0625,
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-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
2a9992b94a5a428b2e140432138f6e6b | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [368, 372], "expectation_value": -5.571300303701292, "params": [0.39830000000000004, 0.4052, -0.018000000000000002, -0.0098, 0.4026, 0.4001, 0.39840000000000003, 0.4058, 0.40140000000000003, 0.4062, 0.16440000000000002, 0.1484, 0.4047, 0.4052, -0.018000000000000002, -0.0123, -0.0161, -0.015600000000000001, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["010001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.40230650144358293) q[0];
rz(pi/2) q[0];
ry(0.012346811785215364) q[1];
ry(1.0698048716094197) q[2];
ry(0.8863918283838769) q[3];
ry(0.7700025634876931) q[4];
ry(-0.14132501215667076) q[5];
ry(0.6309863290532526) q[6];
ry(0.012346811785215364) q[7];
ry(-0.1337253544... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIZIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIIZI",
"IZZIIIIII",
"IIZIIIIZI",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-2,
-1,
-1,
-1,
-2,
0
] | 0.97286 | [
0.40230650144358293,
0.012346811785215364,
1.0698048716094197,
0.8863918283838769,
0.7700025634876931,
-0.14132501215667076,
0.6309863290532526,
-0.13372535442374664,
0.3463571050104395,
-0.42216980051872355,
0.33582374109135626,
0.28259222298260916,
-0.2529608703007667,
0.3765660152021051... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 19 |
3531386beba6b0774804490460b57cef | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [129, 1], "expectation_value": -0.6994426696603888, "params": [[0.0563], [-0.045700000000000005]], "bitstrings": ["101111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0026834513033420133, 0.0027382118834480065], "optimization_time": 3.050405502319336} | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.22395844909424942) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.4594487259099615) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.22395844909424942) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.5726501004324798) q[4];
cx ... | 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];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
4,
-1,
-0.75,
-1.5,
-0.5,
-0.25,
1,
-0.25,
-0.5,
-2,
-0.25,
3,
-0.25
] | 0.482113 | [
-0.22395844909424942,
-0.4594487259099615,
-0.5726501004324798,
-0.24342401502853306,
-0.579388992496363,
0.231586207665915,
-0.483314810268151,
-0.47682133312067565,
-1.4192722674742317,
1.471494663072129,
-1.2139952039638644
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 249 |
40efbaa60500ed0449dbedeaaa25ebd3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [237, 109], "expectation_value": -63.66105717228561, "params": [0.5033, 0.2831, 0.9968, -0.0038, 0.9921000000000001, 0.0961, 0.3966, 0.29410000000000003, 0.9926, 0.0054, 0.997, 0.1587, 0.35100000000000003, 0.3885, 0.9992000000000001, 0.07400000000000001, 0.5003000000000001, 0.2586, 0.9933000000000001, -0.007... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 10.0 * Z(2) + 17.0 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.21913824649960786) q[0];
rz(0.28842509026743457) q[0];
rx(0.9658255554271339) q[1];
rz(0.06788391447824248) q[1];
rx(0.9894999969723852) q[2];
rz(0.20987100724066238) q[2];
rx(-0.25938890582696866) q[3];
rz(0.2670712661249464) q[3];
rx(0.9897018575840343) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8.5,
10,
17,
5,
18.5,
22.5,
5.5,
12
] | 0.978661 | [
0.2191382464996079,
0.19354627076827674,
0.9658255554271339,
0.06788391447824248,
0.9894999969723852,
0.20987100724066238,
-0.25938890582696866,
0.2670712661249464,
0.9897018575840343,
0.049529158111607255,
0.9133416565110377,
0.20089198381653212,
-0.09967782436896452,
0.5058996698566903,
... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 11 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -0.22532523295705295, "params": [[0.0666, 0.07], [-0.05, -0.060000000000000005]], "bitstrings": ["00011", "10001"], "total_optimization_steps": 10, "probabilities": [0.037659477062568836, 0.03765947706256886], "optimization_time": 1.7139737606048584} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
2b8dca7c94388a8984b1472327af39be | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.768562041653865, "params": [[[0.8898, 0.0095], [0.8972, 0.0085], [0.7883, 0.003], [0.9077000000000001, 0.004], [0.9095000000000001, 0.0058000000000000005], [1.6032000000000002, 0.006900000000000001], [1.6005, 0.005], [1.6037000000000001, 0.0064]]], "bitstrings": ["11111010", ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
0d4975981166b2874d2e3fb8df49ba97 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [238, 214], "expectation_value": -39.926217016728785, "params": null, "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.10204263315540714, 0.23230478566247953], "optimization_time": 164.9446144104004} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"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(0.1215) 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] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
2034291987811787586 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 1], [2, 3], [1, 2], [3, 5]]} | {"states": [20, 43], "expectation_value": -0.03389233149230168, "params": [[0.0668], [-0.051300000000000005]], "bitstrings": ["101011", "010100"], "total_optimization_steps": 10, "probabilities": [0.01670173131916426, 0.01670173131916426], "optimization_time": 0.9983072280883789} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.8563570392416313) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(0.8563570392416313) q[0];
cx q[1], q[0];
rz(3.157952299659428e-08) q[0];
rx(-0.7853981648642016) q[0];
cx q[1], q[2];
rz(0.8563570392416313) q[2];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
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[2], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
0.8563570392416313,
3.15795228859461e-8,
-0.7853981648642018
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 90 |
7218c16c40b056c69e97a1ee5dfc7d5c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [73, 105], "expectation_value": -7.920809648962828, "params": [0.4786, -0.0012000000000000001, 0.2931, 0.007, 0.28200000000000003, -0.0002, 0.0088, 0.0034000000000000002, 0.7013, 0.001, 0.7052, 0.01, 0.7088, -0.0004, 0.7029000000000001, 0.0012000000000000001, 0.3372, -0.001, 0.07200000000000001, 0.0045000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.0, "smallest_bitstrings": ["010010111", "110010110", "110110100"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09249479330497584) q[0];
rz(1.098988601145285) q[0];
rx(-0.07515678843703101) q[1];
rz(1.094019075683054) q[1];
rx(2.073515481004475) q[2];
rz(1.6767147744576292) q[2];
rx(2.205690300228874) q[3];
rz(1.8360585434330172) q[3];
rx(-0.059685843797095024) q[4];
rz(1.45... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-3,
-2,
-0.5,
-3,
-1,
-1.5,
-1
] | 0.974657 | [
0.09249479330497584,
-0.471807725649611,
-0.07515678843703102,
-0.4767772511118431,
2.0735154810044745,
0.10591844766273237,
2.205690300228874,
0.2652622166381207,
-0.05968584379709502,
-0.12058180601181849,
0.8972102731308552,
0.11860153637015695,
0.2293498133517674,
0.9078344326806282,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 63 |
7ecfb961adbc8dacf39be96efc3d39fa | 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": [550, 678], "expectation_value": -41.82640069398318, "params": [[[0.6104, 0.5794], [0.342, 0.4858], [0.8039000000000001, 0.7988000000000001], [-0.116, 0.7259], [0.8095, 0.7939], [-0.25320000000000004, 0.8002], [-0.6169, 0.7683], [0.5538000000000001, 0.7982], [0.798, 0.7971], [0.7963, 0.792]], [[0.5253, 0.179... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(6) @ Z(8)) + 17.5 * Z(1) + 13.0 * Z(2) + 9.0 * Z(0) + 13.5 * Z(4) + -... | 15 | 10 | 2 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["0101011001"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.536069203360168) q[0];
ry(-0.044622226764045925) q[1];
ry(1.3950590856059026) q[2];
ry(0.05202010737865788) q[3];
ry(1.2966291761189845) q[4];
ry(-0.08805959013968995) q[5];
ry(-0.83774893548964) q[6];
ry(0.4099149606755807) q[7];
ry(0.9906805555407091) q[8];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIZZIIII",
"ZIIIIIIZII",
"IIZIIIIIZI",
"IIZIIZIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17.5,
13,
9,
13.5,
-5,
8,
19.5,
15.5,
-2.5,
-10
] | 0.971332 | [
1.536069203360168,
-0.044622226764045925,
1.3950590856059026,
0.05202010737865788,
1.2966291761189845,
-0.08805959013968995,
-0.83774893548964,
0.4099149606755807,
0.9906805555407091,
1.5055015704388794,
0.4700262627984975,
0.4316440308393319,
0.4343091611898041,
0.4130292509541747,
0.71... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 82 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 50], "expectation_value": -4.499937482234164, "params": null, "bitstrings": ["000111", "001101"], "total_optimization_steps": 26, "probabilities": [1.6356494447410052e-05, 0.9999687417661157], "optimization_time": 23.252053022384644} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
4e2f70adf965c859c016ba7845e205dc | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -0.6641123993569458, "params": [[-0.08420000000000001], [0.0786]], "bitstrings": ["1000000000", "1001000000"], "total_optimization_steps": 10, "probabilities": [0.0015331876248689355, 0.0016011643060761136], "optimization_time": 3.065380573272705} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.08209464428895492) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-8.395320764917761e-05) q[2];
cx q[3], q[2];
rz(1.5705642878294785) q[3];
rx(1.573842448868029) q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-8.39532076491... | OPENQASM 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[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
1.5,
-0.75,
-0.75,
-1.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
0,
-1,
0,
-0.5,
1,
1.25,
0,
0.75
] | 0.839412 | [
-0.08209464428895492,
-0.00008395320764917761,
0.06986880025343446,
0.0030399335915787078,
0.00008626210937084866,
1.5705642878294783,
-1.5708101769120453,
-1.5708432019674272,
-1.5707543359281622,
-1.5707900060150517,
-1.5708295827358247,
1.5738424488680292
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 313 |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [23286, 27885], "expectation_value": -3.7331522976776212, "params": [[-0.1298, -0.1686], [0.11850000000000001, 0.16240000000000002]], "bitstrings": ["010010100001001", "001001100010010"], "total_optimization_steps": 20, "probabilities": [0.0002924335862911759, 0.0002924335862911759], "optimization_time": 18.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"], "largest_eigenvalue": 24.000000000000064} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | 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[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
8627cac5692b6aae3c2c208c37b0b1f4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [255, 127], "expectation_value": -15.002755441597971, "params": [[[1.5779, 0.0028], [0.0024000000000000002, 0.008400000000000001], [-0.0079, 0.008400000000000001], [0.0025, 0.004], [0.0023, 0.0016], [0.0027, 0.0015], [0.0022, 0.007], [3.1616, 0.0043]]], "bitstrings": ["00000000", "10000000"], "total_optimiza... | -1.0 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.8488629866718265) q[0];
rz(0.06973261518818183) q[0];
rx(-0.06805114516913745) q[1];
rz(0.048391092564758806) q[1];
rx(0.014912686430725186) q[2];
rz(0.048391092564758806) q[2];
rx(-0.03842465069051541) q[3];
rz(-0.10158869724559011) q[3];
rx(-0.06528783705505248) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
-1,
-2.5,
1,
-2,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974501 | [
1.8488629866718265,
0.06973261518818183,
-0.06805114516913745,
0.048391092564758806,
0.014912686430725186,
-0.03842465069051541,
-0.10158869724559011,
-0.06528783705505248,
-0.087975901203544,
-0.031374305504709585,
-0.24965651382927773,
0.033916478997841976,
-0.002774375493819016,
3.10042... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 2 |
ebeeae95561612ee5d2b0af61ce37946 | 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}], "edges": [{"... | {"states": [190, 186], "expectation_value": -64.0087506707604, "params": [0.20220000000000002, -0.6345000000000001, 1.4029, 0.0102, 0.3951, 0.5004000000000001, 1.3937000000000002, -0.0367, 1.2779, 0.08310000000000001, 1.4016, 0.008400000000000001, 0.5906, -0.5689000000000001, 1.3934, 0.0721, 0.3839, 0.5363, 0.1973, -0.... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(0)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(8)) + 8.0 * Z(1) + 7.0 * Z(0) + 8.5 * Z(2) + 10.5 * Z(3) + 11.... | 4 | 9 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 138.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.026971811026326) q[0];
rz(0.8885075936588542) q[0];
rx(1.442422665088243) q[1];
rz(1.6195127299625032) q[1];
rx(0.20687627775704687) q[2];
rz(2.1484914402989563) q[2];
rx(1.2369047666899167) q[3];
rz(1.4945571633100485) q[3];
rx(1.2411841406955681) q[4];
rz(1.7024... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
7,
8.5,
10.5,
11.5,
13.5,
2,
3.5,
14
] | 0.972775 | [
-0.026971811026325995,
-0.6822887331360431,
1.442422665088243,
0.0487164031676067,
0.20687627775704687,
0.5776951135040592,
1.2369047666899164,
-0.07623916348484774,
1.241184140695568,
0.13168251908056863,
1.6516567211152808,
0.019250902071333467,
0.11444439308709373,
-0.7172186470503401,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 17 |
4569598651333492748 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [4, 5], [2, 3, 6], [0, 5], [2, 5, 6], [2, 4], [0, 3, 6]]} | {"states": [101, 26], "expectation_value": -0.04216399323154161, "params": [[-0.0545], [0.0603]], "bitstrings": ["0011010", "1100101"], "total_optimization_steps": 10, "probabilities": [0.00831087477615819, 0.008346393425968105], "optimization_time": 1.628978967666626} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.1666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333334, "smallest_bitstrings": ["1100101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-0.8421471542594385) q[1];
cx q[5], q[1];
rz(0.18138911725609752) q[1];
rx(0.8090631811069823) q[1];
cx q[5], q[4];
rz(-0.8421471542594385) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(-0.03827195887298365) 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;
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[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"IIIZZII",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"IZIIIIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0,
0.33333333333333326,
0.3333333333333333,
0.4999999999999999,
0.16666666666666663
] | 0.554701 | [
-0.8421471542594385,
-0.03827195887298365,
-0.472952239525267,
0.18138911725609752,
0.8090631811069822
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 133 |
3369282170919035525 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 4, 5, 6], [1, 2, 3, 4, 5], [0, 2, 3], [0, 1, 4], [1, 2, 3, 5, 6], [1, 4, 5, 6]]} | {"states": [105, 107], "expectation_value": -1.0954491843477774, "params": [2.7758000000000003, 0.0054, 3.056, 0.0011, 1.1612, 0.0019, 3.0354, 0.0022, 1.1297000000000001, 0.0032, 1.5755000000000001, 0.0022, 3.0228, 0.009000000000000001, 0.0045000000000000005, 0.0061, 0.009000000000000001, 0.001, 0.0097, 0.0065000000000... | 0.31666666666666665 * (Z(2) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.1 ... | 3 | 7 | 1 | {"smallest_eigenvalues": [-1.5166666666666668, -1.5166666666666668], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5166666666666664, "smallest_bitstrings": ["0010100", "0001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.0633456332966698) q[0];
rz(0.5232408157184913) q[0];
rx(-3.082932672990664) q[1];
rz(0.4367093732409817) q[1];
rx(0.16545393715438203) q[2];
rz(-0.12831332853190647) q[2];
rx(-3.108353913789522) q[3];
rz(0.41660361611056285) q[3];
rx(0.18247300611720457) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZZIII",
"IIZIZII",
"IZIZIII",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IIIIZZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZIIZ",
"IIIIZIZ",
"IIZIIIZ",
"IIIIIZZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.31666666666666665,
0.1,
0.1,
0.15000000000000002,
0.15000000000000002,
0.18333333333333335,
0.1,
0.1,
0.13333333333333333,
0.18333333333333335,
0.1,
0.1,
0.3,
0.18333333333333335,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166666666666... | 0.97137 | [
3.0633456332966698,
0.503855165251325,
3.2002526341889226,
0.3699115818840104,
0.16545393715438206,
-0.1913777757269054,
3.1748313933900647,
0.674661626285204,
0.18247300611720463,
-0.09248158066430151,
2.6153912625908866,
3.0236666109505617,
0.1261288943899982,
-0.47854321596952765,
-0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -1.5166666666666668,
"target_ratio": 0.97,
"target_value": -1.4711666666666667
} | 11 |
26def67ce5f93d788ddd1b023c589a8e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [44, 14], "expectation_value": -3.4890916346461824, "params": null, "bitstrings": ["1010011", "1110001"], "total_optimization_steps": 27, "probabilities": [0.0607191660475146, 0.8639381839560345], "optimization_time": 20.091647148132324} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1100101", "1010011", "1111000", "0101101", "0111001", "0011011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5198353490920349) q[0];
h q[1];
ry(-0.5373675606482673) q[1];
ry(-0.026080464012186052) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[0];
ry(0.5198353490920349) q[0];
cx q[3], q[0];
ry(-0.6429953445516599) q[0];
ry(0.8754484998400236) q[3];
h q[4];
ry(1.483928809... | 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", ... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IZIIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
-1,
0,
0
] | 0.992396 | [
-1.5586098848344783,
-1.4769122720150283,
1.4839288099841128,
-1.0747351212965346,
-1.0396706981840698,
0.8036404554279265,
0.5183762627735643,
-0.5010407178657793,
0.32870940514799957,
-0.4274496687052022,
0.7141444741329186,
-0.43109135169291524,
-0.12574049852301072,
0.23483456373399728... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
3487579935067528082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 5], [8, 1, 2, 3], [1, 7], [2, 11, 6, 7], [4, 7], [0, 8, 11, 4], [3, 10, 2, 7], [0, 6, 8, 9, 11], [3, 4, 5, 9, 11], [1, 4], [0, 9, 1], [0, 11, 10, 3], [3, 1, 11, 8]]} | {"states": [2397, 2909], "expectation_value": -3.1170174024192465, "params": [[[3.1443000000000003, 0.008, 0.006200000000000001, 0.0028], [1.5249000000000001, -0.0026000000000000003, 0.7591, 0.009000000000000001], [1.641, 0.0086, 0.00030000000000000003, 0.0009000000000000001], [0.0032, -0.2093, 1.5735000000000001, 0.00... | 0.5 * (Z(10) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.05 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.1666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-3.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.15, "smallest_bitstrings": ["010010100010"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.1391725115561817) q[0];
rz(0.2523085910223456) q[0];
ry(1.65422243248724) q[1];
rz(0.09287576861152003) q[1];
cz q[1], q[0];
ry(1.5417169093274181) q[1];
ry(2.073888566625279) q[2];
rz(0.2530748287693745) q[2];
ry(0.13837045326178246) q[3];
rz(-0.21108476790143602... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIZIIIII",
"IIIZIIIIIIZI",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIIIIZII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIIIIZIZI",
"IIIZIIIIZIII",
"IIIIIIIIZZII",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIZIIIII... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.05,
0.08333333333333333,
0.08333333... | 0.97066 | [
3.1391725115561817,
0.2523085910223456,
1.65422243248724,
0.09287576861152003,
2.073888566625279,
0.2530748287693745,
0.13837045326178246,
-0.21108476790143602,
-0.05938298763786582,
-0.06438340521571842,
0.7857362490794481,
-0.028638031874323344,
-0.022439504030123753,
0.258769755648062,
... | {
"n_parameters": 29,
"n_qubits": 12,
"optimal_eigenvalue": -3.233333333333333,
"target_ratio": 0.97,
"target_value": -3.136333333333333
} | 12 |
0b641e78cabb3c51d33f15ee04149ee8 | 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": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": ... | {"states": [2045, 2041], "expectation_value": -21.77901715497257, "params": [[[-0.0025, 1.4234], [-0.40890000000000004, -0.0008], [0.0055000000000000005, -0.0031000000000000003], [0.0077, -0.0027], [-0.0063, -0.0022], [0.001, 0.0024000000000000002], [0.0054, 0.0028], [0.0028, -0.0026000000000000003], [0.005500000000000... | -1.0 * (Z(0) @ Z(9)) + -1.25 * (Z(1) @ Z(9)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(2)) + 1.25 * (Z(3) @... | 15 | 12 | 3 | {"smallest_eigenvalues": [-22.25, -22.25, -22.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000100", "100000000110", "110000000110"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.016082605702940997) q[0];
ry(-0.4005639676501336) q[1];
ry(0.06105957810008841) q[2];
ry(-0.18096829108927506) q[3];
ry(0.016390443440520798) q[4];
ry(0.10636216783346156) q[5];
ry(-0.044571672899956664) q[6];
ry(0.0716701350019847) q[7];
ry(0.06105957810008841) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IZIIIIIIIIZI",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIZIIIII",
"IIIIZIIIIZII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIIIZIIIZ... | [
-1,
-1.25,
-0.5,
-0.75,
-1,
-1,
-1.25,
-0.5,
-2,
-0.5,
-0.25,
-1.25,
-1,
1.25,
-1.25,
-1.25,
-0.25,
-1,
-1.25,
-0.5,
-0.5,
-1,
-0.75,
-1,
-0.5,
-1.5,
-0.25,
0.5,
-1.5,
2,
1.75,
0.25,
-1.5,
1.75,
-2.5,
-0.25,
1.25
] | 0.974505 | [
0.016082605702940997,
-0.4005639676501336,
0.06105957810008841,
-0.18096829108927506,
0.016390443440520798,
0.10636216783346156,
-0.044571672899956664,
0.0716701350019847,
-0.952516290200466,
-0.03138016834071826,
0.04220793857482536,
1.58946095329701,
-0.01611460038973656,
-0.042928925775... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 39 |
3556981228590111424 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 2, 6], [10, 11], [8, 10, 4], [11, 7], [9, 3], [10, 2], [9, 10], [9, 6, 7], [1, 3, 5, 7], [0, 11, 5, 6], [11, 3], [2, 3, 4], [9, 5], [8, 11, 6]]} | {"states": [2938, 2426], "expectation_value": -4.7753092392192835, "params": [[[3.1397, 0.0038], [-0.00030000000000000003, 0.0035], [1.5107000000000002, 0.0025], [3.1396, 0.0073], [0.8705, 0.0094], [3.1394, 0.0059], [3.1394, 0.0049], [3.1393, 0.0061], [3.1395, 0.005], [0.002, 0.0031000000000000003], [2.8113, 0.0051], [... | 0.08333333333333333 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.25 * (Z(11) @ Z(6)) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666666, "smallest_bitstrings": ["011010000101"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1465670558590473) q[0];
rz(0.03439296749854903) q[0];
rx(0.0593401050688127) q[1];
rz(0.05836913850016678) q[1];
rx(0.6937730414258958) q[2];
rz(-0.31086304355342953) q[2];
rx(3.1422214044549617) q[3];
rz(0.013599733903634142) q[3];
rx(0.9646486627804965) 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": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IZZIIIIIIIII",
"IZIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"ZIIZIIIIIIII",
"IIIIIIIZIZII",
"IZIIIIIZIIII",
"IIIZIIIZIIII",
"IIZIZIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1... | 0.976466 | [
3.1465670558590473,
0.03439296749854903,
0.0593401050688127,
0.05836913850016678,
0.6937730414258958,
-0.31086304355342953,
3.1422214044549617,
0.013599733903634142,
0.9646486627804965,
-0.08202204143726788,
2.9980716488617905,
0.2990022413649437,
-0.3854341162786744,
3.040139139861493,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -5.166666666666667,
"target_ratio": 0.97,
"target_value": -5.011666666666667
} | 8 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -4.496464084735706, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 23, "probabilities": [0.06634840431979211, 0.930366250617222], "optimization_time": 26.59366464614868} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [106, 43], "expectation_value": -9.239155916146645, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 44, "probabilities": [0.08729663983404472, 0.7841655267931145], "optimization_time": 41.56351661682129} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
2093750442350825356 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 5], [4, 5], [0, 1], [2, 5]]} | {"states": [17, 33], "expectation_value": -1.6656503608879014, "params": null, "bitstrings": ["101110", "011110"], "total_optimization_steps": 34, "probabilities": [0.05018962653815174, 0.7729580413984244], "optimization_time": 29.202211380004883} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["011110", "010001", "101010"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4319944567091265) q[1];
cx q[0], q[1];
ry(0.4319944567091265) q[1];
cx q[0], q[1];
ry(1.2037535006886102) q[0];
ry(-0.886197650828631) q[1];
h q[2];
ry(-0.7433238344675752) q[2];
h q[3];
ry(-0.40034899211237607) q[3];
h q[4];
ry(-0.4319944567091265... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0
] | 0.971781 | [
-0.863988913418253,
1.2513054155645487,
-1.4866476689351504,
-0.7655262991110451,
1.2037535006886102,
0.25069984193749506,
-0.6621992161601209,
0.41794027903975894,
-0.4479968693370204,
-0.8006979842247521,
-0.4355825986571736,
-0.3118781648756688,
-0.09833392917326551,
-0.3323515641600026... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 12 |
5016316659782473400 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 3], [1, 3], [2, 4]]} | {"states": [3, 28], "expectation_value": -1.6933088001002854, "params": null, "bitstrings": ["11100", "00011"], "total_optimization_steps": 29, "probabilities": [0.046083590726214756, 0.7807660464423409], "optimization_time": 19.21246886253357} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "00011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7227378437577893) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.006132298756955021) q[3];
cx q[2], q[3];
ry(0.006132298756955021) q[3];
cx q[2], q[3];
ry(-0.2514542826223274) q[3];
cx q[1], q[3];
ry(0.2514542826223274) q[3];
cx q[1], q[3];
ry(0.7713935189318988) q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[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;\nq... | [
"IZZII",
"IZIIZ",
"IZIZI",
"ZIZII",
"IZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.97551 | [
-0.012264597513910042,
1.6190390184300687,
-0.5029085652446548,
1.5427870378637976,
1.4454756875155785,
-1.071150592746052,
-0.038133047663471455,
-1.2203488664349607,
0.10060165952512348,
-0.17705800294301727,
0.034473830708720975,
-0.4257491153237969,
0.13245675525463396,
-0.330041373382... | {
"n_parameters": 23,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
acd53861e009fa993c7ee6f2ebdf4931 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -7.821340692172427, "params": [[[-0.005200000000000001, 0.45990000000000003], [-0.0039000000000000003, 0.0115], [-0.0012000000000000001, -0.0023], [0.0005, -0.0021000000000000003], [0.0037, -0.0022], [-0.0009000000000000001, -0.0024000000000000002], [-0.0016, -0.0023], [-0.... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000", "10000100000", "10001000000", "10001100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.047234945455786034) q[0];
ry(0.06717750963050563) q[1];
ry(-0.07871917052263612) q[2];
ry(-0.07406413548993143) q[3];
ry(-0.008497149629708656) q[4];
ry(-0.11820717443195877) q[5];
ry(0.05718786111711539) q[6];
ry(-0.1081222143885793) q[7];
ry(-0.02981595091515187... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIIZIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZIIIIZII",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZZIIIIIII... | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.25,
-1.25,
-0.5,
-0.25,
1,
1.25,
0.25,
0.5
] | 0.971112 | [
0.047234945455786034,
0.06717750963050563,
-0.07871917052263612,
-0.07406413548993143,
-0.008497149629708656,
-0.11820717443195877,
0.05718786111711539,
-0.1081222143885793,
-0.029815950915151875,
-0.5902928114287693,
0.03746401563308868,
0.7007693250267156,
-0.09090597976205275,
0.0580868... | {
"n_parameters": 73,
"n_qubits": 11,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 58 |
91fd701868951eab612ba86420778b2e | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -10.746193321691818, "params": [[-0.0378, -0.0222, -0.0063, 0.0164], [0.0711, 0.078, 0.0781, 0.0683]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.037727368205815674, 0.04153535555713812], "optimization_time": 8.06314468383789} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"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,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
6c1adeec8d79e08474f4c940c4ae24c0 | 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": [1992, 1736], "expectation_value": -117.48835690377503, "params": [0.5287000000000001, 0.5252, 0.46690000000000004, 0.4761, 0.2758, 0.2487, 0.4691, 0.4635, 0.4102, 0.3972, 0.0088, 0.008700000000000001, 0.0061, -0.002, 0.5239, 0.528, 0.0045000000000000005, 0.0058000000000000005, 0.0086, 0.0059, -0.0067, -0.00... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(4)) + 21.0 * Z(1... | 14 | 11 | 3 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["00100110111"], "largest_eigenvalue": 207.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.4988607699533317) q[0];
rz(pi/2) q[0];
ry(0.37832227439609795) q[1];
ry(-0.019844994942050956) q[2];
ry(0.5538951056717284) q[3];
ry(0.41073873724167625) q[4];
ry(-0.15818731581445467) q[5];
ry(0.013961525044748527) q[6];
ry(0.4866229628134161) q[7];
ry(-0.0701112... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
21,
20.5,
11,
18.5,
4,
22,
8,
-5,
4,
0.5,
-11.5
] | 0.971727 | [
0.4988607699533317,
0.37832227439609795,
-0.019844994942050956,
0.5538951056717284,
0.41073873724167625,
-0.15818731581445467,
0.013961525044748527,
0.4866229628134161,
-0.07011129257159268,
-0.12974404862991562,
-0.06487275625294121,
0.6223094718905151,
0.25174729376037974,
-0.09611429778... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 10 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -19.767938623640227, "params": [[0.0354, 0.004200000000000001], [-0.0743, -0.0413]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005456770031924452, 0.006627086628783975], "optimization_time": 3.670921564102173} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
f3f2872870ba47278d97d5dc1b7df9d5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [508, 511], "expectation_value": -16.19979561678839, "params": null, "bitstrings": ["11000000011", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.12621048057334536, 0.45085354989426585], "optimization_time": 218.5170774459839} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.563159215367809) q[0];
ry(-0.30886573646302784) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5065309130851605) q[2];
h q[3];
ry(0.7976271246097832) q[3];
h q[4];
ry(0.7976271246097832) q[4];
h q[5];
cx q[5], q[2];
ry(-0.5065309130851605) q[2];
cx q[5], q[2];
cx q[2],... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.947352 | [
1.013061826170321,
0.28008950314060416,
1.5952542492195665,
-3.0848990151615028,
0.20590918078058038,
3.5542021481406585,
-0.007501772547801593,
-0.013631628487965019,
0.9758308860819664,
1.340446654779617,
0.7792794465310915,
-1.6345956922001967,
-1.563159215367809,
0.253170313645636,
-... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 38.64753603935242} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
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,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
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