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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -22.600945599093905, "params": [[-0.0354, 0.0081], [0.0777, 0.0713]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010248901880852512, 0.01292696436676827], "optimization_time": 3.884526252746582} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
72a8e59921ddbedcfbeaac73650c2f92 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [208, 209], "expectation_value": -5.0783519608744365, "params": [[[0.4068, -0.0023], [0.4051, -0.0019], [-0.006500000000000001, 0.196], [0.3982, -0.0007], [-0.0151, -0.2], [-0.0078000000000000005, -0.19390000000000002], [-0.0123, 0.1993], [0.3961, 0.0024000000000000002]], [[0.4002, -0.0022], [0.4102, -0.0019... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00101110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.2942969839608227) q[0];
ry(3.042116501841139) q[0];
rz(-3.0119985727791274) q[0];
rz(0.9606211066417458) q[1];
ry(2.909098549202155) q[1];
rz(-2.286721733670551) q[1];
rz(-1.5383482046339942) q[2];
ry(0.06196515550147688) q[2];
rz(1.9728245400398734) q[2];
rz(2.179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-2,
0,
-1.5,
-1,
-1
] | 0.980677 | [
0.6819424109301494,
0.16901172135384146,
0.7658633795387204,
-0.051107351602079645,
-0.0007292256303666478,
0.27086824316790215,
0.7164944284652461,
0.1088310461322526,
0.1575693367825124,
-0.11836104767017537,
-0.018644837987264292,
-0.0293082565885896,
0.07384308157988817,
0.001126703348... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 12 |
8179620907328336256 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 7], [0, 4, 6], [0, 8], [5, 6], [4, 5], [8, 3], [2, 6]]} | {"states": [488, 23], "expectation_value": -0.03767329879224527, "params": [[-0.045200000000000004], [0.056100000000000004]], "bitstrings": ["000010111", "111101000"], "total_optimization_steps": 10, "probabilities": [0.002097203438504276, 0.0021042820779208497], "optimization_time": 2.2711565494537354} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.16666666666666674 * Z(0)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["111101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
cx q[7], q[1];
rz(-0.901300290539665) q[1];
cx q[7], q[1];
rz(0.01296861373485747) q[1];
rx(0.775063405957194) q[1];
cx q[7], q[0];
rz(-0.901300290539665) q[0];
cx q[7], q[0];
cx q[0], q[4];
rz(-0.042357156... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[0], q[4];
rz(x1) ... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"IIZIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0
] | 0.514145 | [
-0.901300290539665,
-0.042357156139033,
0.012968613734857413,
0.7750634059571941
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333333,
"target_ratio": 0.97,
"target_value": -3.718333333333333
} | 110 |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 16.1010582447052} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -5.737422090659728, "params": [[0.0771, 0.07440000000000001], [-0.0824, -0.0779]], "bitstrings": ["1011110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.02438555710842763, 0.02701843693156493], "optimization_time": 2.962897539138794} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
953796ca4b6137c6c134989cdf6bb9e5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [128, 1], "expectation_value": -2.3210151631191476, "params": [[0.0752, 0.0711], [-0.0813, -0.0627]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009292167596914145, 0.012009889193890264], "optimization_time": 3.103825330734253} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.0} | 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[0];
rz(-0.3483451487171722) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.02778833924913412) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.3483451487171722) q[1];
cx q[2], q[1];
rz(-0.34834514871717204) q[1];
rx(-1.5496356521799646) 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",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
-2,
-1.5,
-1,
-0.75,
-0.75,
2,
-0.75,
-0.5,
-0.25,
-1,
2.5,
-1,
-0.5,
-0.5,
1.25
] | 0.972046 | [
-0.3483451487171722,
-0.01952397966811929,
-0.02778833924913412,
-0.320011031661691,
0.18500737395646455,
-0.557023597019871,
-0.5413866637494237,
-0.9068040738231341,
0.708134931363403,
-1.5496356521799646,
-0.5760853995779249,
-0.12218594570022752,
-0.22892143467827025,
-0.61961605786585... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 121 |
8659958707648319733 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 7], [9, 4], [0, 9, 5], [4, 5], [0, 1], [8, 3, 6, 7], [0, 9, 6], [8, 9, 2, 3], [0, 8, 2, 5], [0, 4], [1, 2, 5], [0, 3, 5, 6], [1, 2, 3, 6], [8, 1, 9, 7], [3, 4], [0, 7], [1, 4, 6]]} | {"states": [863, 351], "expectation_value": -2.1997554703922533, "params": [1.084, 0.2607, 0.9695, 0.0029000000000000002, 1.0939, -0.0558, 1.0946, 0.009000000000000001, 1.093, -0.1443, 1.0853000000000002, 0.0061, 1.0999, 0.1658, 1.0951, 0.0083, 0.5747, 0.312, 0.5703, 0.0063, 1.1009, 0.07150000000000001, 1.0979, 0.003, ... | 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.749999999999998, "smallest_bitstrings": ["1010100000"], "largest_eigenvalue": 13.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10698011352725557) q[0];
rz(1.0580203023166632) q[0];
rx(1.5790963549637547) q[1];
rz(0.1545433009393795) q[1];
rx(0.9784970762784843) q[2];
rz(-0.15777615483636476) q[2];
rx(1.2988476682208383) q[3];
rz(0.04374913734360719) q[3];
rx(-0.24302667317642815) 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": []} | [
"IIZIIZIIII",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIZIIIIIIZ",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIZIIIIIZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIIIIIIZI",
"IIZIIIZIII"... | [
0.5,
0.08333333333333333,
0.5,
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
... | 0.970288 | [
0.10698011352725556,
0.716378067552187,
1.5790963549637547,
0.11776532684506034,
0.9784970762784843,
-0.07369932530065239,
1.2988476682208383,
0.03684380859349841,
-0.24302667317642812,
-0.16821467928846814,
1.751157881188273,
-0.04911682230544109,
1.4997860149446183,
-0.03738397222965191,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -4.749999999999999,
"target_ratio": 0.97,
"target_value": -4.607499999999999
} | 97 |
eb1b2cac0566087578078445a8bfe431 | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [0, 224], "expectation_value": -23.0249228131214, "params": [-1.7319, 0.0023, 0.6688000000000001, 0.0015, -1.1148, -0.0017000000000000001, 0.319, 0.0038, -1.0248000000000002, -0.0025, 1.5659, 0.0027, 0.0024000000000000002, 1.4538, 0.0028, 0.0055000000000000005, 0.0022, 1.3366, 0.0026000000000000003, 0.0025, ... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00011111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9043400608482596) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.028613396666844728) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.028613396666844704) q[1];
rx(-1.0936888940235951) q[1];
rz(-0.9043400608482596) q[2];
cx q[0], q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIZIII",
"IZZIIIII",
"IZIIZIII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIZZIIII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-1.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-3,
1,
0.5,
1,
0.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5
] | 0.51508 | [
-0.9043400608482596,
0.028613396666844728,
-0.8263703176089077,
-0.43812578806749125,
0.02412213198516952,
-0.11002994277446851,
-1.0936888940235951
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 187 |
8519966187527921575 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 5], [8, 9, 10, 3], [8, 10, 11, 5], [3, 4], [8, 2, 11], [1, 11, 4], [8, 7], [8, 1, 5, 9], [1, 7], [1, 2], [2, 5, 7], [1, 6], [0, 5, 7], [6, 7], [9, 11, 1], [8, 4], [9, 2, 4, 7], [8, 0, 10, 11], [8, 10, 2], [2, 4, 6], [2, 3], [9, 3, 6], [2, 5, 6], [8, 1... | {"states": [2775, 727], "expectation_value": -6.7564182969948465, "params": [0.7691, -0.7625000000000001, 0.7496, 0.003, 0.22790000000000002, 0.7997000000000001, 0.18730000000000002, 0.8087000000000001, 1.5771000000000002, 0.0013000000000000002, 1.5854000000000001, 0.0, 0.051500000000000004, 0.6647000000000001, 0.0132,... | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.49999999999999994 * (Z(10) @ Z(8)) + 0.0833... | 8 | 12 | 1 | {"smallest_eigenvalues": [-7.499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.166666666666667, "smallest_bitstrings": ["110100101000"], "largest_eigenvalue": 23.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.00330703800401485) q[0];
rz(-0.22342645747758816) q[0];
rx(0.028322458399895202) q[1];
rz(0.8834598799853554) q[1];
cx q[1], q[0];
ry(-0.5447790455070366) q[0];
cx q[1], q[0];
ry(0.8742332728146207) q[0];
rz(-1.8782235776446545) q[0];
rx(-0.1447274892006817) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZIII",
"IIIZIIZIIIII",
"IIIZIIIIZIII",
"IIZIIIZIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IIIZIIIZIIII",
"IIZIIIIZI... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.49999999999999994,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5... | 0.972962 | [
-0.003307038004014849,
-1.7942227842724845,
0.028322458399895202,
0.8834598799853554,
1.4466484361348741,
-0.10729251321849625,
-0.08401030770544111,
0.6261413385161269,
1.7463589509803001,
-0.002974798414937349,
1.7295468695377125,
-0.009642952298677817,
0.4764078714835589,
-0.37021299343... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -7.499999999999997,
"target_ratio": 0.97,
"target_value": -7.274999999999997
} | 30 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 16.20103168487549} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"], "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(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 18.71623969078064} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
3a47978bfb976fd6248810daacdb4903 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [596, 594], "expectation_value": -2.35835935084949, "params": [[0.0656, 0.057800000000000004, 0.054200000000000005, 0.054400000000000004], [-0.0758, -0.06380000000000001, -0.054200000000000005, -0.0465]], "bitstrings": ["0110101011", "0110101101"], "total_optimization_steps": 10, "probabilities": [0.00259651... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 4 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
082b6c86bc8d553008a81e548bf0a65e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [510, 63], "expectation_value": -5.368681138552825, "params": [[0.0703, 0.07930000000000001, 0.0727], [-0.0596, -0.077, -0.07250000000000001]], "bitstrings": ["000000001", "111000000"], "total_optimization_steps": 10, "probabilities": [0.008442147795090157, 0.009118086491427809], "optimization_time": 5.92930... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
4375214014246057751 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 2, 5, 7, 8], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [374, 380], "expectation_value": -0.029976413636360357, "params": [[-0.07830000000000001], [0.0779]], "bitstrings": ["010001001", "010000011"], "total_optimization_steps": 10, "probabilities": [0.0020774757891642327, 0.0020774757891642336], "optimization_time": 0.8355765342712402} | 0.5 * (Z(8) @ Z(3)) + 0.05 * (Z(0) @ Z(8)) + 0.05 * (Z(2) @ Z(8)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(8)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.05 * (Z(1) @ Z(3)) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[8];
rz(-1.5516628508797827) q[8];
cx q[3], q[8];
cx q[3], q[5];
rz(-0.05863985560696225) q[5];
cx q[3], q[5];
cx q[3], q[7];
rz(-0.05863985560696225) q[7];
cx q[3], q[7];
cx q[3], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3], q[8];
rz(x0) q[8];
cx q[3], q[8];
cx q[8], q[0];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.1000000000000002,
0.1000000000000002,
0.1,
0.1,
0.2,
0.2,
0.09999999999999998,
0.1,
0
] | 0.890753 | [
-1.5516628508797827,
-0.05863985560696225,
-0.05087421084122915,
-1.489754178838075,
0.05463142222237246,
0.8250451820369034
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -1.4000000000000004,
"target_ratio": 0.97,
"target_value": -1.3580000000000003
} | 168 |
-7368056999618555872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5, 6, 7, 8, 9], [1, 3, 5, 6, 8], [8, 1, 3, 7], [8, 0, 6], [0, 1, 2, 7, 9], [0, 1, 4, 7], [0, 1, 5, 6, 7], [1, 3, 9], [2, 3]]} | {"states": [599, 431], "expectation_value": -2.412431171589689, "params": [[[3.1390000000000002, 0.0068000000000000005], [-0.0027, 0.0076], [3.1390000000000002, 0.0015], [3.1398, 0.0011], [3.1435, 0.007], [3.1393, 0.001], [1.5002, 0.0077], [0.0019, 0.0067], [0.0028, 0.0064], [3.1394, 0.0048000000000000004]]], "bitstrin... | 0.08333333333333334 * (Z(3) @ Z(5)) + 0.13333333333333336 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.16666666666666669 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z... | 2 | 10 | 1 | {"smallest_eigenvalues": [-2.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.433333333333334, "smallest_bitstrings": ["1001010000"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-0.025015181120356965) q[3];
cx q[5], q[3];
h q[6];
cx q[5], q[6];
rz(-0.021907166865666693) q[6];
cx q[5], q[6];
cx q[3], q[6];
rz(-0.025015181120356965) q[6];
cx q[3], q[6];
h q[7];
cx q[5], q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI"... | [
0.08333333333333334,
0.13333333333333336,
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.08333333333333334,
0.08333333333333334,
0.16666666666666669,
0.25,
0.11666666666666667,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.08333333333333334,
0.0333333... | 0.766612 | [
-0.025015181120356965,
-0.021907166865666693,
-0.06756066659413666,
0.01854702265253421,
-1.4674365513021161,
-0.005573529123297936,
-0.2652042733218737,
0.025852007263937216,
-0.1693180292115119,
-0.10435812859530293,
-0.15753174192878241,
0.12452300521172556,
-0.045241356703937814,
-1.50... | {
"n_parameters": 23,
"n_qubits": 10,
"optimal_eigenvalue": -2.466666666666667,
"target_ratio": 0.97,
"target_value": -2.3926666666666665
} | 500 |
17639781641b88f9ffa836608d3b637d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [252, 124], "expectation_value": -73.52417066125211, "params": [0.5436, -0.2701, 1.0667, 0.0033, 1.0693000000000001, -0.0016, 1.0689, 0.0018000000000000002, 1.0643, 0.0035, 1.0791, -0.1233, 0.2822, -0.3048, 0.0067, 0.3769, 0.5386000000000001, -0.2669, 1.0707, 0.0193, 1.0673000000000001, -0.002100000000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
15,
22.5,
20.5,
14.5,
22,
5.5,
-1.5
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [0, 5], "expectation_value": -3.999905744134601, "params": null, "bitstrings": ["11111", "11010"], "total_optimization_steps": 15, "probabilities": [1.726280242127105e-05, 0.9999394822330047], "optimization_time": 10.739904642105103} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
adf81339cf0258c38a303d18144c9f77 | 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": [467, 211], "expectation_value": -58.338634830671744, "params": [1.5228000000000002, 0.0007, 2.9932000000000003, 0.0022, 2.9934000000000003, 0.0013000000000000002, 1.3775000000000002, 0.0012000000000000001, 3.0002, 0.0097, 0.0021000000000000003, 0.0041, 0.9549000000000001, 0.0064, 2.9974000000000003, 0.0099,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(7)) + 8.0 * Z(1) + 11.0 * Z(0) + 10.5 * Z(3) + 14.5 * Z(4) + 11.5 * Z(2) + -4.5 * Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101100"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.15597849433044364) q[0];
rz(-0.13167873071346214) q[0];
rx(3.1641265241302) q[1];
rz(0.3481390454411636) q[1];
rx(2.99688249220094) q[2];
rz(-0.030334930666206954) q[2];
rx(0.1170568069199788) q[3];
rz(-0.03668931867218217) q[3];
rx(3.3265867984506055) q[4];
rz(0.1... | 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, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZZIIII",
"IZIIIIIIZ",
"IIZIIIZII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8,
11,
10.5,
14.5,
11.5,
-4.5,
13,
4.5,
7.5
] | 0.973833 | [
0.15597849433044364,
-0.21461029157642303,
3.1641265241302,
0.3481390454411636,
2.99688249220094,
-0.030334930666206954,
0.1170568069199788,
-0.03668931867218217,
3.3265867984506055,
0.18131895153610614,
0.043833972020406634,
-0.1764611542038419,
0.3090196040579181,
-0.19390163745626307,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 14 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [21, 5], "expectation_value": -4.249622881933726, "params": null, "bitstrings": ["101010", "111010"], "total_optimization_steps": 14, "probabilities": [0.24998087632969399, 0.24998460488181462], "optimization_time": 7.441190719604492} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -6.350582597274785, "params": [[-0.0439], [0.0528]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006229970849818754, 0.006705750323319254], "optimization_time": 1.7377903461456299} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
596dc591e846e98017ad5da8b3c9d903 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [49, 51], "expectation_value": -2.993491954941213, "params": [[[0.5563, 0.008700000000000001], [1.6078000000000001, 0.0092], [1.6078000000000001, 0.0092], [0.0029000000000000002, 0.0097], [-0.0039000000000000003, 0.0004], [1.6016000000000001, 0.0039000000000000003], [1.614, 0.003]]], "bitstrings": ["1001110"... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.5 * Z(3) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.1346745737184226e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.1346745737184226e-08) q[3];
cx q[2], q[3];
rz(0.2526803351014868) q[2];
rx(-1.5707963122896773) q[2];
cx q[3], q[1];
rz(-1.1346745737184226e-08) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZZII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"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,
-0.5,
-1.5,
-0.5
] | 0.5125 | [
-1.1346745737184226e-8,
0.25268033510148713,
-1.5707962675335227,
-1.570796312289677
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 131 |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [0, 1], "expectation_value": -8.475354855368396, "params": [-0.0002, 0.1516, 0.0, 0.3996, 0.0007, -0.4445, 0.00030000000000000003, 0.45, 0.0027, 0.4559, 0.0021000000000000003, 0.3895, 0.6009, 0.006900000000000001, 0.0054, 0.2793, 0.0074, 0.4511, 0.0023, 0.45070000000000005, 0.007200000000000001, 0.4289, 0.00... | -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 *... | 3 | 7 | 3 | {"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) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"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 |
9079452690261205850 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [2, 5, 6], [0, 3], [4, 6]]} | {"states": [57, 113], "expectation_value": -0.5187885099573273, "params": [[-0.32030000000000003], [0.3106]], "bitstrings": ["1000110", "0001110"], "total_optimization_steps": 40, "probabilities": [0.019428099305886303, 0.019428099305886303], "optimization_time": 0.9761404991149902} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666663 * Z(5) + 0.0 * Z(1) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001110", "1000110"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.503989127286936) q[0];
cx q[3], q[0];
rz(0.06647524334294097) q[0];
rx(0.791281756928323) q[0];
rz(0.06647524334294097) q[3];
rx(0.791281756928323) q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-1.503989127286936) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(x1) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IIIZIIZ",
"ZIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666663,
0,
0,
0
] | 0.835237 | [
-1.503989127286936,
-0.20802871759936953,
0.0664752433429411,
0.791281756928323
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 122 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -0.33782309092646334, "params": [[0.0649], [-0.0711]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.0370459547666721, 0.03768195381970785], "optimization_time": 2.156266212463379} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
2f55547bea74149f74a1253622558179 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"sour... | {"states": [31, 255], "expectation_value": -13.219340078623471, "params": null, "bitstrings": ["11100000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.08297820354536037, 0.4994116721733964], "optimization_time": 207.74231624603271} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0515062126869668) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.7532963022825825) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.021214392633893908) q[1];
rx(-0.9812524089205983) q[1];
rz(-1.0515062126869668) q[2];
cx q[0], q[2];
rz(-... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-2,
-1.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.575756 | [
-1.0515062126869668,
-0.7532963022825825,
-0.6919819540942587,
-0.21482254462164876,
-0.02121439263389379,
-0.9812524089205983
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 161 |
8328621044505845926 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [2, 5], [5, 6], [1, 5], [2, 6], [0, 2], [1, 3], [0, 4]]} | {"states": [104, 106], "expectation_value": -2.6851074713783087, "params": null, "bitstrings": ["10010111", "10010101"], "total_optimization_steps": 63, "probabilities": [0.24082881044888294, 0.5444603906593184], "optimization_time": 66.59582996368408} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010111", "01101010", "01101000", "00111101", "11000010", "10010101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.22216265984433725) q[0];
h q[1];
ry(0.7268650660620743) q[1];
h q[2];
h q[3];
ry(-0.652183184601775) q[3];
h q[4];
cx q[4], q[0];
ry(0.22216265984433725) q[0];
cx q[4], q[0];
ry(-0.4437746944873201) q[0];
ry(1.2335803909369012) q[4];
h q[5];
ry(-0.22216265... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[2], 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] = me... | [
"ZIIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970343 | [
-0.4443253196886745,
1.5496441898202016,
-0.582325181279557,
1.4537301321241487,
-1.30436636920355,
0.8960317953574152,
-0.8875493889746402,
0.6750971911589722,
-0.5093999005881519,
0.019778981024728165,
0.10584791157443603,
-0.19459624975656686,
0.12495459309173348,
-0.4320143637572701,
... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 11 |
-1424619592659475064 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5, 6, 8], [0, 1, 2, 3, 4, 5, 7, 8]]} | {"states": [383, 127], "expectation_value": -0.34235319186239516, "params": [1.479, 0.26580000000000004, 0.802, 0.009600000000000001, 1.4756, 0.3524, 0.794, 0.0046, 1.4606000000000001, 0.17500000000000002, 1.0162, 0.0011, 1.4673, 0.1756, 1.0127000000000002, 0.0094, 1.4692, 0.1777, 1.0214, 0.0073, 1.4824000000000002, -0... | 0.06785714285714287 * (Z(0) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.06785714285714287 * (Z(8) @ Z(1)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(6)) + ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3941329272561538) q[0];
rz(0.9681430331698389) q[0];
rx(0.5673214065581677) q[1];
rz(0.6177255581528871) q[1];
rx(1.6656322765312301) q[2];
rz(0.19806219761404442) q[2];
rx(1.6435269589318775) q[3];
rz(0.39687094940883183) q[3];
rx(1.9306487037848337) q[4];
rz(0.32... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"... | [
0.06785714285714287,
0.06785714285714287,
0.06785714285714287,
0.05,
0.05,
0.05,
0.06785714285714287,
0.06785714285714287,
0.06785714285714287,
0.05,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.... | 0.97081 | [
1.394132927256154,
0.7177803334774203,
0.5673214065581678,
0.44897449642441306,
1.66563227653123,
0.19613661816089104,
1.6435269589318775,
0.40746879939411035,
1.9306487037848337,
0.30875132120258714,
1.9663882911450268,
-0.04794087168866629,
1.744061636679754,
-0.04970026794954406,
1.58... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -0.37857142857142856,
"target_ratio": 0.97,
"target_value": -0.3672142857142857
} | 85 |
497ee7bf44af41c8b30000bed1ee6591 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [33, 37], "expectation_value": -5.571943097608468, "params": null, "bitstrings": ["1011110", "1011010"], "total_optimization_steps": 38, "probabilities": [0.1326295359700203, 0.6775037254232693], "optimization_time": 32.15985989570618} | 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(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"], "largest_eigenvalue": 16.0} | 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... | 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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZZII",
"IIZIZII",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"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,
0.5,
-1,
-1,
-2,
-1.5,
-2,
-1.5,
-0.5
] | 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 |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -10.637791318237927, "params": [[-0.044700000000000004], [0.0723]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.007435673641454434, 0.008232652114482977], "optimization_time": 1.8524043560028076} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14.5,
15.5,
21,
15,
14,
15,
-1.5,
1.5
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -0.10982103361193099, "params": [[-0.0329, -0.044000000000000004, 0.0036000000000000003, 0.0603], [0.0223, 0.0531, 0.0303, -0.0303]], "bitstrings": ["11001", "10011"], "total_optimization_steps": 10, "probabilities": [0.03420079333996925, 0.03420079333996928], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
8358284983507233897 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 7], [9, 10], [8, 6], [1, 3, 5], [1, 9], [0, 2], [3, 4, 7], [8, 2], [1, 3, 7], [9, 2, 7], [8, 1], [0, 1, 5, 7], [0, 9, 3, 6], [4, 6], [10, 4], [1, 6]]} | {"states": [1151, 1143], "expectation_value": -2.0003129815909135, "params": [1.0902, 1.0926, 0.5720000000000001, 0.5792, 0.4237, 0.3844, 0.6255000000000001, 0.5559000000000001, 1.099, 1.1034000000000002, 1.0952, 1.0945, 1.0873000000000002, 1.0928, 0.5710000000000001, 0.48450000000000004, 1.0867, 1.0912, 1.097, 1.0864,... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.25 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(10)) + 0.5 * (Z(1) @ Z(9)) +... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666667, "smallest_bitstrings": ["01110001000"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.9214014629074259) q[0];
rz(pi/2) q[0];
ry(-0.15701551911139927) q[1];
ry(0.05399230805845015) q[2];
ry(-0.004313378733956735) q[3];
ry(1.720476931589387) q[4];
ry(1.3103373219154615) q[5];
ry(1.3621075315032096) q[6];
ry(0.8447076367019647) q[7];
ry(1.316847787096... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZIIIIIIIZII",
"IZIZIIIIIII",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"IZIIIIIIIZI",
"IIIIIIIIIZZ",
"IIZIIIIIIZI",
"ZIIIIIIIIZI",
"IIIZIIIIIZI",
"IIIIIIZIIIZ",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"IIIZIIZIIII",
"IIIIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.5,
0.5,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.33333333333... | 0.971639 | [
1.9214014629074259,
-0.15701551911139927,
0.05399230805845015,
-0.004313378733956735,
1.720476931589387,
1.3103373219154615,
1.3621075315032096,
0.8447076367019647,
1.316847787096244,
1.090085982137281,
1.472244069183907,
0.3250961185598307,
0.9235638975491823,
-0.14058321700728882,
0.99... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -5.000000000000001,
"target_ratio": 0.97,
"target_value": -4.8500000000000005
} | 56 |
88d08310cecbc7a3e83627c144340291 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 86], "expectation_value": -0.4364615663823916, "params": [[-0.055900000000000005, -0.0205], [0.0718, 0.0402]], "bitstrings": ["1011110", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009541921523920074, 0.009985667981393647], "optimization_time": 3.6688523292541504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9786226600788224) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5862529058258308) q[1];
ry(-3.0772749082534916) q[2];
rz(-pi) q[2];
ry(-0.09588909131010206) q[3];
rz(-pi) q[3];
h q[4];
ry(1.363189241285378) q[4];
cx q[4], q[3];
ry(0.016943517083634098) q[3];
cx q[4], q[3];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"ZIIIZII",
"IIZIIZI",
"IIZZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-0.5,
-1,
0
] | 0.997697 | [
-1.5862529058258308,
-1.4579637184011605,
1.5122669325225266,
1.363189241285378,
-0.033887034167268196,
0.08927418399709541,
0.2053114497415538,
-0.011576702127863644,
-0.023112710619505164,
-0.019905775115862053,
-0.055608789341867165
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
9c501688ace9c1c29c4f2331e1f6f6c1 | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [35, 1], "expectation_value": -1.93890886653786, "params": [[0.0429, 0.0757], [-0.0179, -0.0604]], "bitstrings": ["111011100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0037295365691088584, 0.0045936131166104625], "optimization_time": 4.391582489013672} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15648792005638765) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.4647368427952263) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.18625347550684976) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.4647368427952263) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"... | [
-1,
-0.25,
-0.5,
-0.25,
-2,
-1.25,
-0.5,
-1.25,
-1.5,
-1.25,
-1,
3.25,
-0.5,
-1.25,
-0.5,
-1.25,
-0.75,
-0.5,
-0.25,
-0.75,
-2,
0.75,
1.5,
2.25,
1,
-2
] | 0.543699 | [
-0.15648792005638765,
-0.4647368427952263,
-0.18625347550684976,
-1.227897821964101,
-0.36785183491168383,
-0.9027637837092546,
0.3660399390232344,
-0.5488324115223138,
-0.1907072725041052,
0.10396060371422793,
1.4146338051691747,
-0.36073297402333415,
-1.1317389430859743
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 297 |
5eb7ddea4431def3edb4d139df732f60 | 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": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [128, 142], "expectation_value": -4.675703225538691, "params": [[[0.6023000000000001, -0.0332, 0.0015, 0.0016], [0.6082000000000001, -0.2406, 0.5994, -0.3659], [0.184, 0.38, 0.1799, 0.5745], [0.1693, 0.41200000000000003, 0.1532, 0.544], [0.0347, -0.2701, -0.0241, -0.2602], [-0.0028, 0.25630000000000003, 0.06... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * Z(4) ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["101110001", "101110100", "001110101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6277280040354603) q[0];
rz(-0.25915249905049265) q[0];
ry(1.79373862410295) q[1];
rz(0.2675440370139881) q[1];
cx q[1], q[0];
ry(1.218141072513428) q[0];
rz(-0.07595846147644383) q[0];
ry(0.7702869640137181) q[1];
rz(-0.7779722667174243) q[1];
ry(0.0647322504565671... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIZIIZI",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIZIIZII",
"IZIIZIIII",
"IZIIIZIII",
"IZIIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"... | [
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,
-1,
-1.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.972793 | [
0.6277280040354603,
-0.25915249905049265,
1.79373862410295,
0.2675440370139881,
0.06473225045656719,
-0.4310466971629145,
-0.0823707196262076,
0.3221430923092925,
-0.1100902814665505,
-0.7334762015049798,
0.06763885978206911,
0.06031948419797518,
0.22744827445162172,
-0.10819240535179755,
... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 65 |
83e23dbe2433e9aa73d702adc6438772 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [186, 442], "expectation_value": -3.653396367375409, "params": [[[-0.0024000000000000002, 0.0015], [1.6277000000000001, 0.0018000000000000002], [3.1395, 0.0057], [0.0023, 0.007200000000000001], [3.1395, 0.0031000000000000003], [3.1391, 0.0048000000000000004], [3.1394, 0.0025], [-0.0086, 0.0099], [3.1438, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(7... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["1001000101", "0101001010"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.025305131515406667) q[0];
rz(0.02399455392787926) q[0];
rx(2.781251407909597) q[1];
rz(-0.057993492751246226) q[1];
rx(3.0685459835803517) q[2];
rz(0.055117043718906585) q[2];
rx(0.09794028798489873) q[3];
rz(0.07759411088974799) q[3];
rx(3.0685459835803517) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIIIIZ",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIIZIZII",
"IZIIIZIZII",
"IZZIIIIZII",
"IZZIIZIIII",
"IZZIIZIZII",
"ZZIIIIIIII"... | [
0.25,
0.25,
0.25,
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0.5,
0.5,
0.5,
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0.125,
0.125,
0.125,
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0.125,
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-0.125,
-0.25,
-0.25,
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-0.25
] | 0.979029 | [
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0.02399455392787926,
2.781251407909597,
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3.0685459835803517,
0.055117043718906585,
0.09794028798489873,
0.07759411088974799,
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3.116517680468256,
0.3483283652634316,
3.378324835254343,
0.2875237716656444,
0.12142353679016477,
... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 10 |
d3afc618b7dbe8b32f310fdf84749e1a | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [88, 84], "expectation_value": -2.709634259553923, "params": [0.5690000000000001, -0.0119, -0.016300000000000002, 0.3687, 0.604, 0.08700000000000001, 0.597, 0.299, 0.5958, 0.3859, 0.0005, 0.34, 0.502, 0.278, 0.5688, 0.0046, -0.0178, 0.3743, 0.6106, 0.1436, 0.5738, 0.3407, 0.5887, 0.405, 0.0029000000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "0100111", "1100110", "0101011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10744767680386966) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.10744767680386966) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.10744767680386966) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.932809 | [
0.10744767680386966,
-1.4767901991027308,
-0.833143966371636,
-0.01219406791514734,
0.6976046154172691,
-1.491648375221724,
0.7470776778598038,
-1.7324742201717185,
-1.1304502361409419,
-1.3608082420526102,
-0.3865911164064282,
0.6593258092663152,
2.894466573482227,
-1.5283276206684517,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
e98b53e0167756e0364419ca81191dd8 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 28.58008646965027} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24909120364595053) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.24909120364595053) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.24909120364595053) q[2];
cx q[4], q[2];
rz(1.193373369563484) q[4];
rx(0.88264671234436... | 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(-1.5681) 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", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.9471 | [
-0.24909120364595053,
1.193373369563484,
-2.0987034762529904,
0.8826467123443694,
0.7130854719426324,
-1.607622645586924,
2.3151552480734114,
-1.156367733753227,
0.5197043517845391,
-1.2593119444119423,
1.382078940991915,
-0.6706278912224314
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 359 |
db3eea64102268372a279e794254c1af | 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": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.060557513788584, "params": [0.0039000000000000003, -0.2684, 0.0005, -0.2296, 0.0027, -0.2889, 0.0047, -0.29510000000000003, 0.4047, 0.0534, 0.3985, -0.0012000000000000001, 0.0034000000000000002, -0.2622, 0.0023, -0.2666, 0.005, -0.2827, -0.0022, -0.28240000000000004, 0.0045... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 5 | 11 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.05055068024619258) q[0];
rz(-0.4472291893592786) q[0];
rx(-0.08901258488122829) q[1];
rz(-0.49296425604006977) q[1];
rx(0.840702761740591) q[2];
rz(0.0835824881670102) q[2];
rx(-0.041529254200157885) q[3];
rz(-0.295836977606605) q[3];
rx(-0.13518237470880864) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIIZIIIII",
"IZIZIIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIII... | [
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
1.25,
-0.25,
0.5,
-0.25,
-0.25,
0.5,
-1.25,
1.25,
0,
0.75,
-1,
-1.25,
1
] | 0.972295 | [
-0.05055068024619258,
-0.37416650193852774,
-0.08901258488122826,
-0.5211280570654104,
0.8407027617405909,
0.05213266993236669,
-0.04152925420015789,
-0.3231653960139905,
-0.1351823747088086,
-0.17072400801787013,
-0.23046605133503617,
-0.06485731861483268,
0.01678564314628969,
-0.10478839... | {
"n_parameters": 93,
"n_qubits": 11,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 6 |
959f05abd479552f0696314b40ef5b74 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"sour... | {"states": [148, 180], "expectation_value": -6.513741306796811, "params": [[-0.0223, 1.0535, 0.002, -0.7115, 1.3928, -0.033, 1.2152, 0.0018000000000000002, -0.018500000000000003], [0.0279, 1.0489, 0.0023, 0.7641, 1.0821, -0.008700000000000001, 0.8292, 0.0026000000000000003, 0.0334], [0.0281, 1.0483, 0.0019, -0.8061, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101100011", "101001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1399930437220717) q[0];
ry(0.8650653071780711) q[1];
ry(0.11594929294305405) q[2];
ry(-0.9464422858265304) q[3];
ry(2.0702723379125203) q[4];
ry(-0.16296677980062418) q[5];
ry(1.2829689321342719) q[6];
ry(0.1160124189159371) q[7];
ry(0.3488615456301369) q[8];
cz 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",
"IIIIIZIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIZIZIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-2,
-0.5,
-0.5
] | 0.973457 | [
0.1399930437220717,
0.8650653071780711,
0.11594929294305405,
-0.9464422858265304,
2.0702723379125203,
-0.16296677980062418,
1.2829689321342719,
0.1160124189159371,
0.3488615456301369,
-0.1331460367169849,
1.0897615518882326,
-0.021206464264756142,
1.1001419369683731,
0.8715329643254098,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 26 |
-2595898905980317343 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 1, 2, 4, 5], [0, 2, 3, 4, 5, 6], [0, 1, 3, 4, 6], [0, 1, 2, 3, 5], [0, 1, 2, 3, 4]]} | {"states": [59, 55], "expectation_value": -0.729956170833421, "params": [[-0.3524], [0.3554]], "bitstrings": ["1000100", "1001000"], "total_optimization_steps": 40, "probabilities": [0.014797324931815573, 0.014797324931815577], "optimization_time": 1.6989386081695557} | 0.2833333333333333 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.133333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2499999999999996, "smallest_bitstrings": ["1000010", "1001000", "0011000", "0010100"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6063915713879) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00841474033464995) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10095093968567045) 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(0.0385514323024605... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZII... | [
0.2833333333333333,
0.23333333333333334,
0.26666666666666666,
0.13333333333333333,
0.16666666666666669,
0.11666666666666667,
0.15000000000000002,
0.18333333333333335,
0.13333333333333336,
0.08333333333333334,
0.1,
0.13333333333333336,
0.13333333333333336,
0.03333333333333333,
0.083333333... | 0.971638 | [
1.6063915713879,
-0.00841474033464995,
-0.10095093968567045,
0.03855143230246053,
-0.004922041108764902,
0.07183172386381506,
-0.022101276343489178,
0.0034798043416320347,
-0.015088737556545231,
-0.09663858483765056,
-0.2627038911772722,
1.5889785669307495,
-1.6868276592102007,
-1.53431218... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 127 |
2cf6224a7b786ab8607e7cc5dbc62158 | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 45.47066879272461} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.8629231452941895} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [59387, 59355], "expectation_value": -16.85691042927117, "params": [1.5751000000000002, 0.0047, 0.9212, 0.2599, 1.5742, 0.055900000000000005, 0.6611, 0.501, 0.7372000000000001, -0.47350000000000003, 1.5734000000000001, -0.043300000000000005, 0.9038, 0.2531, 1.5539, 0.08600000000000001, 0.897, 0.2627, 1.5746,... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 16 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0001100000100100"], "largest_eigenvalue": 69.50000000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [206, 122], "expectation_value": -17.06754064933096, "params": [[0.0239, -0.0582], [-0.056900000000000006, 0.0512]], "bitstrings": ["00110001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008102794483138148, 0.009499253207050716], "optimization_time": 4.881446123123169} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.844003438949585} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
919c76a2f2c3c40f577bd22fd27d7d9a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [896, 960], "expectation_value": -40.88108771657791, "params": [1.1548, 1.0574000000000001, 0.0023, 0.0021000000000000003, 0.0025, 0.0026000000000000003, 0.009600000000000001, -0.007200000000000001, 0.0022, 0.0027, 0.0025, 0.0025, 0.0025, 0.0026000000000000003, 0.0025, 0.0026000000000000003, 0.0019, 0.003100... | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -3.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(6)) + -3.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + 1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0000111111"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5009115810288318) q[0];
rz(pi/2) q[0];
ry(-0.017242088145470222) q[1];
ry(-0.015987294410874913) q[2];
ry(-0.03039181535731321) q[3];
ry(0.012919119266415417) q[4];
ry(-0.015987294410874913) q[5];
ry(-0.015987294410874913) q[6];
ry(-0.015987294410874913) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII"... | [
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-3.5,
-3.5,
-2.5,
-3.5,
-3,
-3,
-3.5,
1,
1,
-3.5,
-3.5,
0.5,
0.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-3,
-2,
-2,
-2.5,
1.5,
1
] | 0.979161 | [
1.5009115810288318,
-0.017242088145470222,
-0.015987294410874913,
-0.03039181535731321,
0.012919119266415417,
0.12463941834147335,
-0.14193607444462827,
2.797273447080627,
-0.07960316967225833,
2.884387860527559,
3.246251985669142,
2.900864004739446,
-2.688645829825031,
0.23165149720038458... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -43,
"target_ratio": 0.97,
"target_value": -41.71
} | 23 |
6743507577099325746 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 2], [2, 3], [2, 5], [1, 5], [0, 3], [3, 4], [2, 4]]} | {"states": [28, 35], "expectation_value": -0.062169446239429965, "params": [[0.06670000000000001], [-0.059300000000000005]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.016625122841424443, 0.016625122841424443], "optimization_time": 1.3349134922027588} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111010", "110010", "100101", "100011", "001101", "000101", "011010", "011100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.5722348519679341) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(0.5722348519679341) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(0.5722348519679341) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(0.5722348519679341) q[0];
c... | 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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZZIIII",
"ZIIZII",
"IZIZII",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IIZIIZ",
"ZIIIZI",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.585509 | [
0.5722348519679341,
-3.4286987730155464e-8,
-0.6482906373121082
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 83 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | 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": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.648549998691994, "params": [0.20950000000000002, -0.0025, 0.4051, 0.0017000000000000001, 0.0036000000000000003, 0.2901, 0.0005, 0.2813, 0.4073, 0.0013000000000000002, 0.2114, -0.0023, 0.4043, 0.0017000000000000001, 0.0012000000000000001, 0.2889, 0.0007, 0.2893, 0.4047, 0.0014,... | 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... | 4 | 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 |
a81a167158580bb999f8e68ace712ae9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 45.36599087715149} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
96ad00ceee3f9c4e7577fb22d2b67779 | 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": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 185.49203991889954} | 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(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | 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(-23.4164) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"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,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
-2871694830834871442 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5], [0, 7], [1, 4], [3, 6], [8, 5]]} | {"states": [284, 312], "expectation_value": -0.038984130790486154, "params": [[-0.06430000000000001], [0.0683]], "bitstrings": ["011100011", "011000111"], "total_optimization_steps": 10, "probabilities": [0.002110086250723767, 0.002110086250723767], "optimization_time": 1.4922332763671875} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.1967787472972288) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.1967787472972288) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[1];
rz(-1.5230143817206834) q[1];
cx q[4], q[1];
rz(0.03778799003419886) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIZIIZIII",
"ZIIZIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIZIII",
"ZIIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0,
0,
0
] | 0.869652 | [
-0.1967787472972288,
-1.5230143817206834,
0.037787990034198644,
0.788977026403123
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 117 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [0, 29], "expectation_value": -7.035165902683302, "params": [[[-0.1164, -0.47000000000000003, 0.0038, 0.0079], [0.0033, 0.46940000000000004, -0.0142, 0.40890000000000004], [0.0019, -0.8855000000000001, 0.0019, -0.7152000000000001], [0.0026000000000000003, -0.2179, 0.0027, 0.9331], [-0.0031000000000000003, 0.... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 11 | 6 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
e71ca35b89e32eba873d40b0ff483676 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [490, 1002], "expectation_value": -3.0707681200474832, "params": [[[0.9839, 0.005], [1.5747, 0.0099], [2.5127, 0.0077], [2.9929, 0.0047], [3.0051, 0.0035], [2.9932000000000003, 0.0019], [0.002, 0.0002], [3.0044, 0.0039000000000000003], [0.003, 0.0029000000000000002], [2.9972000000000003, 0.0004], [0.1902, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10000010101", "00101010100", "01010001010", "01000110010"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.02146352759091877) q[0];
rz(-0.228369369934652) q[0];
rx(2.653931682407886) q[1];
rz(0.3572069901925268) q[1];
rx(2.897310292805189) q[2];
rz(0.07774750896626542) q[2];
rx(2.8971375781408213) q[3];
rz(-0.27053874937544775) q[3];
rx(3.044754168080613) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIZIIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIIIIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.125,
0.125,
0.125,
-0.5,
-0.25... | 0.971244 | [
-0.02146352759091877,
-0.228369369934652,
2.653931682407886,
0.3572069901925268,
2.897310292805189,
0.07774750896626542,
2.8971375781408213,
-0.27053874937544775,
3.044754168080613,
0.09579370626409484,
3.24699891548288,
0.12868707135290583,
-0.1136104289791338,
0.14273758723947721,
3.08... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 12 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -9.17976319095565, "params": [[-0.047], [0.066]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.007010518177294261, 0.007297122667502997], "optimization_time": 1.750936508178711} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
4501317548263494606 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 9, 7], [9, 3, 1], [8, 1, 2, 5], [0, 4, 5, 7], [1, 3, 6], [8, 3], [1, 2, 7], [9, 5], [8, 2, 4, 7], [0, 2, 5, 6], [9, 2, 6, 7], [0, 3, 5], [0, 8, 1], [0, 9, 4]]} | {"states": [973, 965], "expectation_value": -3.09089465674787, "params": [1.5778, 1.5675000000000001, 1.2998, 1.8356000000000001, 2.0866000000000002, 1.0496, 0.9505, 1.2562, 0.9079, 0.07440000000000001, 0.0504, -0.0425, 0.7701, 0.7601, 1.0549, 2.0786000000000002, 1.6745, 1.4459, 1.7288000000000001, 1.4213, 0.0911, 1.61... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.25 * (Z(2) @ Z(1)) + 0.1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0000111010"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.0185706657035536) q[0];
rz(pi/2) q[0];
ry(1.1504892876914614) q[1];
ry(2.996647171538909) q[2];
ry(0.9245473123872552) q[3];
ry(0.9625981680802529) q[4];
ry(0.23141892982968162) q[5];
ry(0.04962142380970537) q[6];
ry(0.7397985500433636) q[7];
ry(1.3067524660729122... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIIZI",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIZIIIIIZI",
"IZZIIIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIZIIIIZII",
"IIIIZIIIZI",
"IZIIZIIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIIIIIZZ"... | [
0.3333333333333333,
0.25,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.166... | 0.974417 | [
2.0185706657035536,
1.1504892876914614,
2.996647171538909,
0.9245473123872552,
0.9625981680802529,
0.23141892982968162,
0.04962142380970537,
0.7397985500433636,
1.3067524660729122,
1.8092963539930786,
-0.19262193727914176,
0.4710175447366889,
0.3522284009194963,
0.8937460084697674,
-0.53... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.500000000000001,
"target_ratio": 0.97,
"target_value": -3.395000000000001
} | 41 |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 40.53905725479126} | 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)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
9f6a09f991bf68484362b3872f6239a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -1.1789786049208182, "params": [[-0.046, 0.0359, 0.07930000000000001], [0.0717, 0.0175, -0.0528]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012375321157409783, 0.012788348668536256], "optimization_time": 5.728321552276611} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5274762796530195) q[0];
ry(-0.05460135151509041) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5274762796530195) q[2];
h q[3];
h q[4];
ry(-1.5274762796530195) q[4];
h q[5];
ry(-1.5274762796530195) q[5];
h q[6];
ry(1.6197079894875082) q[6];
cx q[6], q[1];
ry(0.01122076... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.5,
-0.75,
-2,
-1.25,
-0.25,
0,
1.75,
0.5,
-2,
1.25
] | 0.998376 | [
-1.5274762796530195,
-1.5049742069886847,
1.6197079894875082,
-0.022441536582243415,
-0.08190499389509455
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 1 |
f3e32e1adc0b0d4686bd84de2a96f4ab | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [81, 83], "expectation_value": -3.029285355521394, "params": [-0.013300000000000001, 0.2068, -0.0117, 0.20550000000000002, 0.4001, 0.08070000000000001, 0.4056, 0.006200000000000001, 0.39690000000000003, 0.0789, 0.393, 0.0747, 0.3941, 0.10490000000000001, 0.39930000000000004, 0.0799, 0.0636, 0.2013, 0.0612000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(7) + -1.0 * Z(4) + -0.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10101100", "10011010", "10011100", "10101010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005483143169348005) q[0];
rz(0.3672222991576266) q[0];
rx(0.7980097907265472) q[1];
rz(-0.008056232119741935) q[1];
rx(0.28057298763471883) q[2];
rz(0.03631649798697367) q[2];
rx(1.0154973248921293) q[3];
rz(0.26151148521124945) q[3];
rx(0.218524317529495) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
-1,
0,
-1,
-0.5
] | 0.971386 | [
-0.0054831431693480055,
0.3437238645784112,
0.7980097907265473,
0.2655140658346523,
0.2805729876347188,
-0.19684841611276396,
1.015497324892129,
0.40869228974824,
0.21852431752949494,
0.28462691713211963,
0.676741722934479,
0.4361815176506318,
0.08391647274505153,
0.24914865995991514,
1.... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 25 |
c3748fcc72302775c117f76c5c27415d | 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": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [1980, 2044], "expectation_value": -1.6716965816523008, "params": [[-0.063], [0.0762]], "bitstrings": ["00001000011", "00000000011"], "total_optimization_steps": 10, "probabilities": [0.0008787056205498568, 0.0009179095602803709], "optimization_time": 0.7849736213684082} | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9204000552082084) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6855551524422426) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.16026485847142066) q[2];
cx q[1], q[2];
rz(0.6855551524422426) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[1], q[0];
cx q[1... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.537659 | [
0.9204000552082084,
0.6855551524422426,
0.16026485847142066,
0.8249350301798807,
1.213701702713331,
0.982798648847242
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 168 |
8b86b8c78e12bc4605ea690d344857fc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [113, 97], "expectation_value": -4.282705649733862, "params": [0.302, 0.3014, 0.29760000000000003, 0.29500000000000004, 0.1895, 0.185, -0.0171, -0.0178, 0.0019, 0.0012000000000000001, -0.0061, 0.0035, 0.25680000000000003, 0.251, 0.29760000000000003, 0.2962, 0.29500000000000004, 0.2957, 0.17700000000000002, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "0001111", "0011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11920669744375724) q[0];
ry(1.9252508201424514) q[1];
ry(2.0998903902431776) q[2];
ry(0.56188800462726) q[3];
ry(1.4726899163457718) q[4];
ry(-0.1346655007152434) q[5];
ry(0.996913031915014) q[6];
ry(-0.10275167613215101) q[7];
ry(0.6854602440857133) q[8];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZIZII",
"ZZIIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
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,
-1.5,
-1,
-0.5,
-0.5
] | 0.97554 | [
-0.11920669744375724,
1.9252508201424514,
2.0998903902431776,
0.56188800462726,
1.4726899163457718,
-0.1346655007152434,
0.996913031915014,
-0.10275167613215101,
0.6854602440857133,
-0.22894010122808994,
0.9491217717230883,
-0.0770458490092001,
0.08523896558135396,
-0.13916357234307355,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
4509f364555e62d9baf522f318c7da50 | 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": [3356, 3348], "expectation_value": -125.3476748012675, "params": [1.4062000000000001, -0.0022, 1.3937000000000002, 0.3034, 0.3089, 0.6099, 1.3976000000000002, 0.3042, -0.0032, 0.8581000000000001, 0.002, 0.7915000000000001, 0.38720000000000004, 0.5659000000000001, 1.3952, 0.2651, 0.7463000000000001, 0.4736, 1... | 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(5) @ Z(9)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(3)) + 15.0 * Z(0) + 1.5 * Z(2) + 23.5 * Z(1) + -4.0 * Z(4) + ... | 18 | 12 | 2 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["001011101011"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.5495907430435578) q[0];
rz(-0.2214551605391759) q[0];
rx(1.6022651873717433) q[1];
rz(0.38468960711133277) q[1];
rx(0.17108195995733047) q[2];
rz(0.6214994915701169) q[2];
rx(1.8285365662128774) q[3];
rz(0.2804181378477372) q[3];
rx(-0.24449612048217037) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIZZIII",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIZIIIZIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
1.5,
23.5,
-4,
9,
3.5,
18,
10,
-5,
12,
-3,
-11.5
] | 0.970086 | [
1.5495907430435578,
0.13971149716931847,
1.6022651873717433,
0.38468960711133277,
0.17108195995733047,
0.6214994915701169,
1.8285365662128774,
0.2804181378477372,
-0.24449612048217037,
0.8483917350839344,
0.010951676542973403,
0.8089707171773761,
0.0405063787916515,
0.6160272171121526,
1... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -146,
"target_ratio": 0.97,
"target_value": -141.62
} | 10 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [6, 7], "expectation_value": -6.087134233463639, "params": [[[0.23190000000000002, 0.2318], [0.30460000000000004, 0.19740000000000002], [0.26080000000000003, -0.2233], [0.3, 0.1993], [0.6827000000000001, -0.0008], [0.6069, 0.001], [0.6019, 0.0029000000000000002]], [[0.23340000000000002, 0.2318], [0.3033, 0.1... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
fc2a0aab6aa71710f421b73642e2514f | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [206, 222], "expectation_value": -2.8893600565283473, "params": [-0.0038, 0.8101, 1.5851000000000002, -0.0028, 1.3664, 0.005200000000000001, 0.003, -1.1551, 0.8169000000000001, 0.0025, 1.5816000000000001, 0.0016, 1.5853000000000002, -0.0028, 1.5869, -0.3657, 0.3105, -0.6676000000000001, -0.0001, 0.003, 1.587... | 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(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
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 |
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": -10.62911657888727, "params": [[0.0419], [-0.0693]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007489233234535422, 0.008002241265049517], "optimization_time": 2.229743242263794} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "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 |
33f87d8b006507f35f4d20e43beeca46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [87, 215], "expectation_value": -2.092736718889125, "params": [-0.0019, 0.0047, 0.2518, 0.20400000000000001, 0.4471, 0.4354, 0.5328, 0.5085000000000001, 0.2026, 0.1897, 0.5979, 0.5983, 0.3456, 0.3396, 0.6017, 0.5945, 0.5943, 0.5977, 0.6058, 0.6042000000000001, 0.006500000000000001, -0.002, 0.1896000000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100100", "1100110000", "1100101000", "1101000100", "1011000100", "1010101000", "1011010000", "1011001000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07519354267740673) q[0];
rz(pi/2) q[0];
ry(-0.18812279551855077) q[1];
ry(1.855515279352595) q[2];
ry(1.4044602365704797) q[3];
ry(0.2838727434886026) q[4];
ry(1.701214710409299) q[5];
ry(-0.003578028485843182) q[6];
ry(1.2376339021242693) q[7];
ry(1.205182580893... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IZIIZIIIIZ",
"ZIIIZIIIIZ",
"ZZIIIIIIIZ",
"ZZIIZIIIII",
"ZZIIZIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
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,
... | 0.981396 | [
-0.07519354267740673,
-0.18812279551855077,
1.855515279352595,
1.4044602365704797,
0.2838727434886026,
1.701214710409299,
-0.003578028485843182,
1.2376339021242693,
1.2051825808938985,
1.7477730865506962,
0.09801498672843181,
1.3789841189409087,
0.4695867906549551,
-0.6046208251558453,
-... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 48 |
46ff7ad0a3644a0760a4ec2983701c5f | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [68, 25], "expectation_value": -0.8403514341092182, "params": [[0.0648, 0.0587], [-0.057, -0.046700000000000005]], "bitstrings": ["0111011", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010240398925749069, 0.010561019606494677], "optimization_time": 3.806699514389038} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.037560614568719654) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.037560614568719654) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.037560614568719654) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.037560614568719... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"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,
0.5,
0.5,
-2,
-1.5,
-1,
-2,
-1.5,
-0.5,
-2
] | 0.852579 | [
-0.037560614568719654,
-1.7300703572518277,
-0.8267466084279325,
1.287299338116249,
1.3054305317877488,
-1.390450443632452,
0.5114685174354721,
0.06965799825546191,
-1.2930465197384062,
-0.6625795363859562,
0.001253987869889919,
-0.32003986381959526
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 416 |
2037c68aca19f83c01748f0e59e08f2f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2047, 511], "expectation_value": -0.8086209843707785, "params": [[-0.0763], [0.0731]], "bitstrings": ["00000000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0007720399200287433, 0.0007720399200287435], "optimization_time": 2.651207447052002} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -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) + 0.5 * Z(6) + 0.5 * Z(5) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.9295506563086005) q[0];
rz(2.2807623343092303) q[0];
rx(-0.8567996128266898) q[1];
rz(3.1328596491862264) q[1];
rx(-0.2697593181754737) q[2];
rz(2.6047706566442557) q[2];
rx(-0.4650308578495124) q[3];
rz(2.623956812406524) q[3];
rx(-0.7835008226917056) q[4];
rz(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[1], q[0];
cx q[3... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.865269 | [
-0.9295506563086007,
0.7099660075143339,
-0.85679961282669,
1.5620633223913303,
-0.2697593181754737,
1.03397432984936,
-0.4650308578495125,
1.0531604856116272,
-0.7835008226917056,
1.5242732318561738,
-0.626126329901162,
1.2296018887015683,
0.35462332305321204,
1.9093382549555464,
0.7073... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
7217034462980724262 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [3, 7], [0, 6], [0, 1], [1, 7], [2, 5], [3, 5], [1, 6], [0, 7], [4, 6], [0, 5], [2, 3]]} | {"states": [86, 169], "expectation_value": -0.13923625145746732, "params": [[0.0743], [-0.08070000000000001]], "bitstrings": ["10101001", "01010110"], "total_optimization_steps": 10, "probabilities": [0.004486288037730545, 0.004486288037730545], "optimization_time": 1.6686527729034424} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100111", "01001101", "10010010", "01010110", "11011000", "01101101", "11111000", "00000111", "10101001", "10110010"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(0.5369401898276307) q[6];
cx q[7], q[6];
cx q[7], q[3];
rz(0.5369401898276307) q[3];
cx q[7], q[3];
cx q[3], q[2];
rz(0.5369401898276307) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.536940189... | 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[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIZII",
"IZIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII"
] | [
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
] | 0.545047 | [
0.5369401898276307,
-1.8027101214116508e-8,
-0.6455287861963538
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 94 |
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 9], "expectation_value": -0.08431072069270625, "params": [[0.0049, -0.0398], [-0.0275, 0.0369]], "bitstrings": ["001011", "110110"], "total_optimization_steps": 10, "probabilities": [0.01606956649004383, 0.01616316718680672], "optimization_time": 3.029402494430542} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
-4828269759176675544 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9], [0, 1, 2, 4, 5, 6, 7, 8, 9], [0, 1, 3, 4, 5, 6, 7, 9], [1, 2, 3, 4, 5], [1, 3, 5, 8, 9]]} | {"states": [767, 763], "expectation_value": -0.7987661037467391, "params": [1.2893000000000001, -0.0334, 1.0853000000000002, 0.0017000000000000001, 1.2761, 0.38220000000000004, 0.8757, 0.0006000000000000001, 1.3783, 0.1663, 1.2898, 0.0025, 1.3692, 0.1346, 0.8754000000000001, 0.0036000000000000003, 1.3783, 0.06150000000... | 0.04563492063492063 * (Z(0) @ Z(1)) + 0.07777777777777778 * (Z(2) @ Z(1)) + 0.027777777777777776 * (Z(2) @ Z(0)) + 0.13174603174603175 * (Z(3) @ Z(1)) + 0.031746031746031744 * (Z(3) @ Z(0)) + 0.06388888888888888 * (Z(3) @ Z(2)) + 0.09563492063492063 * (Z(4) @ Z(1)) + 0.04563492063492063 * (Z(4) @ Z(0)) + 0.077777777777... | 5 | 10 | 1 | {"smallest_eigenvalues": [-0.9119047619047624, -0.9119047619047624], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9119047619047623, "smallest_bitstrings": ["0100000100", "0100001000"], "largest_eigenvalue": 4.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6895749868717076) q[0];
rz(-0.0967732030731514) q[0];
rx(0.5713313657003659) q[1];
rz(1.019446501800342) q[1];
rx(1.5091738117559368) q[2];
rz(-0.08637625248979575) q[2];
rx(1.8959488022361632) q[3];
rz(-0.043998144277177076) q[3];
rx(1.5091738117559368) 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",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII"... | [
0.04563492063492063,
0.07777777777777778,
0.027777777777777776,
0.13174603174603175,
0.031746031746031744,
0.06388888888888888,
0.09563492063492063,
0.04563492063492063,
0.07777777777777778,
0.08174603174603175,
0.04563492063492063,
0.04563492063492063,
0.027777777777777776,
0.031746031746... | 0.973954 | [
1.6895749868717078,
-0.06782932838405419,
0.5713313657003658,
0.7587281356896772,
1.5091738117559368,
-0.046876431689083044,
1.8959488022361632,
-0.02271889536964981,
0.23922642861880355,
2.0585660327332636,
-0.07391228134453211,
1.5067901667204042,
-0.07606616613286554,
0.6909880392086242... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -0.9119047619047624,
"target_ratio": 0.97,
"target_value": -0.8845476190476196
} | 29 |
bc61f035d1c66afdfb18fc5ab29f7217 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 804], "expectation_value": -12.928080013337455, "params": [-0.021500000000000002, 0.09870000000000001, -0.0088, -0.07300000000000001, 0.3452, 0.0012000000000000001, 0.3659, 0.0021000000000000003, 0.40180000000000005, -0.0026000000000000003, 0.4021, -0.0018000000000000002, 0.0023, 0.3014, 0.0032, 0.298, 0... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10011011011"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.04750411134879278) q[0];
rz(1.5884633645318935) q[0];
rx(0.20191240759595827) q[1];
rz(1.9527687558222215) q[1];
rx(0.914788455226635) q[2];
rz(1.577502513801818) q[2];
rx(0.08279852833205391) q[3];
rz(1.85961588052652) q[3];
rx(0.4502357086767437) q[4];
rz(1.804... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input flo... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIIZIZI",
"IIIIIIIIZZI",
"IZIIIIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIZIIII",
"ZIIIIZIIIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIZII",
"IIZIZIIIIII",
"IZIZIIIII... | [
-1,
-1,
-0.25,
-1,
3.25,
-0.75,
-1.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-0.75,
-1.25,
-0.5,
-1.25,
-2,
-0.25,
0.75,
-0.25,
0.5,
1.5,
0,
-1.5,
1.75,
0.75,
-1.25
] | 0.971455 | [
-0.04750411134879278,
0.01766703773699651,
0.20191240759595824,
0.38197242902732476,
0.9147884552266349,
0.006706187006920768,
0.08279852833205392,
0.2888195537316233,
0.4502357086767436,
0.2336817163843945,
0.6813708904147072,
0.15964844501919984,
-0.17125076244308293,
-0.0094936308474146... | {
"n_parameters": 102,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 81 |
78352b36d64b35d780c91f540c949806 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -32.281602005366175, "params": [-0.5115000000000001, -0.8781, 0.5081, -0.7212000000000001, -0.3658, 1.2972000000000001, -0.3249, 1.5471000000000001, -0.0015, 0.9306000000000001, -0.0047, 1.0142, 0.5424, -0.35100000000000003, 0.46490000000000004, 0.5037, 0.0005, 1.0001, -0.00620... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 2 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2240137421970927) q[0];
rz(1.6978312778676177) q[0];
rx(-0.7029684358138636) q[1];
rz(1.8896931502934784) q[1];
rx(-0.021953574557899168) q[2];
rz(2.208912872393766) q[2];
rx(-0.6471313678112776) q[3];
rz(1.7523165131699692) q[3];
rx(0.11172181698153187) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIIZIIZII",
"IZIIIZIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII"... | [
-1.5,
-1.5,
0.5,
2,
1,
1,
-3,
-3.5,
-3.5,
-3.5,
-2.5,
-4,
-4,
-3,
1,
1.5,
1,
-3,
0.5,
1,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-3.5,
-2,
1.5,
1.5,
2,
1
] | 0.972915 | [
0.2240137421970927,
0.12703495107272078,
-0.7029684358138636,
0.3188968234985825,
-0.021953574557899168,
0.6381165455988689,
-0.6471313678112774,
0.1815201863750716,
0.11172181698153186,
0.11911199217287555,
-0.11503409358304481,
1.26817810921335,
-0.2486438318796687,
0.31485645237008525,
... | {
"n_parameters": 136,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 134 |
-8196771019814898442 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 4, 7], [0, 3, 5], [2, 4], [4, 6]]} | {"states": [92, 93], "expectation_value": -1.5246836926207394, "params": [[[0.43720000000000003, 0.0067], [3.1392, 0.0009000000000000001], [-0.0027, 0.0008], [3.1391, 0.0061], [3.1395, 0.0073], [3.1436, 0.0014], [0.0028, 0.0006000000000000001], [1.6483, 0.0035]]], "bitstrings": ["10100011", "10100010"], "total_optimiza... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.583333333333333, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24766576928249714) q[0];
rz(-0.05220419025128885) q[0];
rx(3.1404344546380973) q[1];
rz(-0.2007302815108573) q[1];
rx(-0.04647585805659679) q[2];
rz(0.13715142491124097) q[2];
rx(3.0523502248451093) q[3];
rz(-0.21057848389736256) q[3];
rx(3.190163356869858) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.125,
0.29166666666666663,
0.125,
0.125,
0.16666666666666666,
0.16666666666666666,
... | 0.974977 | [
0.24766576928249714,
-0.05220419025128885,
3.1404344546380973,
-0.2007302815108573,
-0.04647585805659679,
0.13715142491124097,
3.0523502248451093,
-0.21057848389736256,
3.190163356869858,
0.112351258871187,
3.198375745825586,
0.06250894633871554,
0.012701744305211038,
0.13401303987965624,
... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.5833333333333335,
"target_ratio": 0.97,
"target_value": -1.5358333333333334
} | 4 |
1a258303a51d0e9234cb00a09dd8fee4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [7943, 8167], "expectation_value": -18.378351252125917, "params": [-0.0028, -0.6950000000000001, -3.1438, 0.0927, -0.0023, 0.6934, -0.0021000000000000003, -0.8262, -2.2406, -0.0019, -1.3495000000000001, 0.0013000000000000002, -0.0019, -0.5809000000000001, -1.2794, -0.001, 0.0025, 0.007, -0.002600000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4)... | 4 | 13 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.1694402548333995) q[0];
rz(1.2148388023040209) q[0];
rx(2.534220064874426) q[1];
rz(2.327400056202965) q[1];
rx(-0.26695434664734197) q[2];
rz(1.9074557855978433) q[2];
rx(-0.13965532486137577) q[3];
rz(0.9977640248183768) q[3];
rx(-2.3128642971286557) 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[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIZZIIIII",
"IIIZZIIIIIIII",
"IZZIIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIZIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIIZIIII",
"IIIIIZIIIII... | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975079 | [
0.16944025483339947,
-0.3559575244908756,
-3.7489652423051605,
0.7566037294080685,
-0.26695434664734197,
0.33665945880294745,
-0.1396553248613758,
-0.57303230197652,
-2.3128642971286557,
0.15818103690938357,
-1.5163287329678052,
-0.11006763701796132,
-0.3286430902913017,
-2.799635093680229... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 16 |
dc79b1d1506b238352b546bee89b4fcb | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [504, 511], "expectation_value": -0.7127792457364794, "params": [[-0.0514], [0.062200000000000005]], "bitstrings": ["000000111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0027183784388655286, 0.0027516862628719813], "optimization_time": 2.201212167739868} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9016034643812645) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9016034643812645) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.13489205494289022) q[1];
cx q[0], q[1];
h q[3];
cx q[2], q[3];
rz(0.9016034643812645) q[3];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.594611 | [
0.9016034643812645,
0.13489205494289022,
0.7834549271124904,
1.688831763196304,
0.03571004735697132,
0.9615814525312743
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 160 |
37b1f3be910aaa1079ac9b0431f56275 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [214, 213], "expectation_value": -74.22744228907816, "params": [0.0044, 1.3885, 1.0456, -0.0076, 1.0521, 0.2782, 0.0022, 1.1093, 1.0639, 0.2235, 0.0038, 0.5766, 1.0964, 0.0792, 0.9547, -0.2172, 1.0316, 0.167, -0.0023, 1.5581, 1.0532000000000001, -0.006, 1.0569, 0.2993, 0.0025, 0.7632, 1.0561, 0.2786, 0.0047,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 8.0 * Z(1) + -4.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(4) + 0.5 * Z(3) + 3.0 * Z(5) + 14.0 * Z(6) + 7.5 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2362556283949778) q[0];
rz(1.7178268488969888) q[0];
rx(1.0106639151345236) q[1];
rz(0.10463924044889741) q[1];
rx(1.1574719045367778) q[2];
rz(0.1945436804502511) q[2];
rx(0.007209950224792171) q[3];
rz(1.381362531794653) q[3];
rx(0.8903771112192924) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8,
-4,
10,
18,
0.5,
3,
14,
7.5,
0
] | 0.975021 | [
-0.23625562839497777,
1.7542031693721618,
1.0106639151345236,
0.10463924044889741,
1.1574719045367778,
0.1945436804502511,
0.007209950224792171,
1.381362531794653,
0.8903771112192924,
0.3185543043654574,
0.19299613259018822,
0.6694813265965845,
1.119149861287846,
0.08897672919265015,
0.8... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 20 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -0.23409286169833407, "params": [[-0.0316], [0.0409]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.0044972345526489155, 0.004531631931711391], "optimization_time": 2.0127768516540527} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
4395246568591664247 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [0, 2, 3, 4, 5, 7, 8, 9, 10, 11], [0, 3, 4, 5, 6, 7, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 9, 10], [0, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 5, 6, 9, 10, 11], [2, 5, 6, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 6, 9, 10], [2, 3, 5, 6, 10, 11], [... | {"states": [3565, 3561], "expectation_value": -2.575624700088105, "params": [1.3672, 0.0016, 2.8668, 0.0079, 1.9639000000000002, -0.0026000000000000003, 0.0224, 0.0017000000000000001, 0.6765, 0.0004, 0.5777, 0.0049, 2.4598, -0.0024000000000000002, 0.4697, 0.0043, 2.5282, -0.0019, 0.3655, 0.0016, 2.5304, -0.002, 0.5661,... | 0.5 * (Z(1) @ Z(7)) + 0.0626984126984127 * (Z(0) @ Z(7)) + 0.051587301587301584 * (Z(0) @ Z(1)) + 0.09206349206349207 * (Z(2) @ Z(7)) + 0.041666666666666664 * (Z(2) @ Z(1)) + 0.0626984126984127 * (Z(2) @ Z(0)) + 0.09603174603174602 * (Z(3) @ Z(7)) + 0.027777777777777776 * (Z(3) @ Z(1)) + 0.07658730158730159 * (Z(3) @ Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-2.638095238095237], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.626984126984126, "smallest_bitstrings": ["001000010110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.2106989055192225) q[0];
rz(1.506425915003784) q[0];
rx(1.6586510115534612) q[1];
rz(1.5401252098335458) q[1];
rx(0.7309327843307015) q[2];
rz(1.494026806268204) q[2];
rx(1.9264487743274383) q[3];
rz(1.5832753862280802) q[3];
rx(2.4584677483613944) q[4];
rz(1.78892... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIZIIIZIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIZIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZII... | [
0.5,
0.0626984126984127,
0.051587301587301584,
0.09206349206349207,
0.041666666666666664,
0.0626984126984127,
0.09603174603174602,
0.027777777777777776,
0.07658730158730159,
0.12936507936507935,
0.11984126984126983,
0.041666666666666664,
0.09047619047619049,
0.13373015873015873,
0.123809... | 0.970161 | [
1.2106989055192223,
-0.0643704117911127,
1.658651011553461,
-0.030671116961350074,
0.7309327843307016,
-0.07676952052669217,
1.926448774327438,
0.012479059433183358,
2.4584677483613944,
0.21812863396908713,
2.635330072164187,
-0.20407953909494636,
2.6706518717259335,
-0.08842042720809072,
... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -2.638095238095237,
"target_ratio": 0.97,
"target_value": -2.55895238095238
} | 258 |
e95c8bc22a5c03425fc32d877756198b | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [24, 28], "expectation_value": -3.5007188553548736, "params": [0.0227, 0.0636, 0.0172, 0.0594, 0.0911, 0.0476, 0.0853, 0.0668, 0.2985, -0.0177, 0.2984, -0.006, 0.3034, 0.014400000000000001, 0.3038, 0.0077, 0.3002, -0.016900000000000002, 0.3023, -0.0106, 0.06810000000000001, -0.0709, 0.0685, -0.0763, 0.2579, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 6 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | 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",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
501477738601b9a56009fb34d8274268 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [27, 31], "expectation_value": -4.891461038695923, "params": null, "bitstrings": ["100100", "100000"], "total_optimization_steps": 35, "probabilities": [0.3657088066685248, 0.36574086973498815], "optimization_time": 21.307427883148193} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022432742226757757) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3384255533536563) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2041040411348823) q[3];
cx q[1], q[3];
rz(1.4620623217131428) q[1];
rx(-1.1506042763506248) q[1]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
-0.25,
-1.25,
-1,
-1.25,
0.5,
-0.5,
-0.5,
2,
-0.25,
0.5,
-1,
-0.75,
-0.5
] | 0.711879 | [
0.022432742226757757,
-0.3384255533536563,
-0.2041040411348823,
0.7101376461721758,
-0.6732289857497842,
1.4620623217131428,
-0.4251460208844991,
-1.1506042763506248
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 188 |
fe37a95fb62cde91e69aee116b6773bd | 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": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 200.6310727596283} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | null | {"matching": "perfect", "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(3.0513) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
efdf1647847c4caab8e1de5e0281093e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [257, 271], "expectation_value": -31.247616852494286, "params": [0.0012000000000000001, 0.0057, -0.0028, -0.0008, -0.0026000000000000003, -0.0031000000000000003, 0.7751, 0.7834, -0.0009000000000000001, -0.0059, -0.0044, 0.0001, -0.004200000000000001, -0.00030000000000000003, -0.0023, -0.002, -0.8220000000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + 3.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(10) @ Z(... | 14 | 12 | 2 | {"smallest_eigenvalues": [-32.25, -32.25, -32.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -30.25, "smallest_bitstrings": ["111011110000", "111011010000", "110011010000"], "largest_eigenvalue": 39.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08983026056133703) q[0];
ry(0.07826537817456213) q[1];
ry(-0.07670810242923236) q[2];
ry(3.1391959949632318) q[3];
ry(0.0015147403424439487) q[4];
ry(-0.008674444542019426) q[5];
ry(-0.11756990495208185) q[6];
ry(-0.11756990495208185) q[7];
ry(-0.00867444454201942... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIZII... | [
-0.5,
-0.5,
-1,
-1.5,
-1.25,
3.25,
-0.5,
-1.5,
-0.25,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-1.5,
-1.5,
-1,
-0.75,
-0.5,
-1,
-1.5,
-2.25,
-0.75,
-1.5,
-0.25,
-0.5,
-1.5,
-1.5,
-3.5,
-0.25,
2.5,
-0.25,
1,
-3.25,
3,
2,
-1.25,
-3.75,
-1.... | 0.970335 | [
0.08983026056133703,
0.07826537817456213,
-0.07670810242923236,
3.1391959949632318,
0.0015147403424439487,
-0.008674444542019426,
-0.11756990495208185,
0.09056471948570693,
3.0904916535393783,
-0.02999893809638503,
-0.11270410328996566,
0.06135106228109971,
0.002866314899400771,
-0.0728370... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -32.25,
"target_ratio": 0.97,
"target_value": -31.2825
} | 8 |
3012e1b6018e3f767ff12c1a3a3c35a1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 35], "expectation_value": -4.496515537769795, "params": null, "bitstrings": ["1001101", "1011100"], "total_optimization_steps": 28, "probabilities": [0.06700898087128362, 0.9297460398074041], "optimization_time": 26.3140127658844} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | 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", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-1,
-0.5
] | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [74, 90], "expectation_value": -0.005651106856964371, "params": [1.495, 0.0022, 1.6285, 0.009000000000000001, 1.4755, 0.0061, 1.6173000000000002, 0.001, 1.6508, 0.006500000000000001, 1.4702000000000002, 0.0036000000000000003, 1.6242, 0.0061, 1.4847000000000001, 0.0004, 0.0063, 0.009600000000000001, 0.0065000... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 16 | 8 | 1 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"], "largest_eigenvalue": 1.0132812499999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.001953125,
-0.001953125,
0.25,
0.00078125,
-0.00078125,
0.00078125,
-0.00078125,
0.25,
0.00078125,
-0.00078125,
-0.0015625,
0.00078125,
-0.00078125,
-0.0015625,
0.25,
-0.0003906249999999778,
-0.0003906249999999778,
-0.003515625000000022,
-0.003515625000000022,
-0.001... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
a3571c19d72a014065614d323aff3379 | kclique | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [39, 7], "expectation_value": -0.7714563620747077, "params": [[[0.5213, 0.0487], [0.4374, 0.08310000000000001], [0.3869, 0.0961], [0.5877, 0.0025], [0.5874, -0.0024000000000000002], [0.5801000000000001, -0.0016]], [[0.5188, 0.0487], [0.43210000000000004, 0.083], [0.386, 0.0961], [0.5800000000000001, 0.0025],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
ee95eea0157613eba1229e90a73f1e5f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -16.795010042661115, "params": [[[-0.0035, -0.0359], [-0.0051, -0.0016], [-0.0001, -0.003], [0.0506, -0.0029000000000000002], [0.0015, -0.0026000000000000003], [-0.0005, -0.0029000000000000002], [-0.0118, -0.0018000000000000002], [-0.0061, 0.0021000000000000003], [-0.0051, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -0.5 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.017660264150487166) q[0];
ry(-0.03473932266185376) q[1];
ry(0.1567012892349667) q[2];
ry(0.03172792495169544) q[3];
ry(-0.13743081986786357) q[4];
ry(-0.12839447676063176) q[5];
ry(-0.014556525242648437) q[6];
ry(-0.03609003625359263) q[7];
ry(-0.0649118754627029... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIZIIIZI",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IZIIIIIIIIZI",
"ZZIIIIIIIIII",
"IZIIIIIIZIII",
"IIIZIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIIZZ... | [
-0.75,
-0.5,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.75,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
0,
-0.25,
0,
-0.25,
0,
-1.5,
-1.25,
0.25,
0.25,
... | 0.970758 | [
-0.017660264150487166,
-0.03473932266185376,
0.1567012892349667,
0.03172792495169544,
-0.13743081986786357,
-0.12839447676063176,
-0.014556525242648437,
-0.03609003625359263,
-0.06491187546270298,
0.14380770469654316,
-0.031328476183955206,
2.1324061987738503,
0.005194593799419052,
-0.0186... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 60 |
209492d0ebde0c4941c69f20876abb8e | 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": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 195.30245757102966} | 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(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | 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(9.9081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"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,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
dca74c4464ee5c0862a21e9a873391f9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [17, 25], "expectation_value": -2.351175547270593, "params": [[[0.0004, 0.44880000000000003], [0.3327, 0.1068], [0.5984, 0.0026000000000000003], [0.5974, 0.0005], [0.00030000000000000003, 0.3743], [0.339, 0.13920000000000002], [0.5986, 0.0025]], [[0.006500000000000001, 0.3418], [0.3282, 0.1073], [0.6055, 0.0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101100", "1001110", "1100101", "1100110", "1010110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3261879765800164) q[0];
rz(1.3498234549150556) q[0];
rx(0.16548659132819363) q[1];
rz(1.4526953729286571) q[1];
rx(0.2776296021368347) q[2];
rz(1.5160908817020786) q[2];
rx(0.6279148589634342) q[3];
rz(1.4920196900062512) q[3];
rx(-0.006774915293495331) 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": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IZIIIZI",
"IIIIZIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
-0.25,
0,
-1,
-0.25,
-0.25
] | 0.971022 | [
0.3261879765800164,
-0.22097287187984072,
0.1654865913281936,
-0.11810095386623967,
0.2776296021368347,
-0.05470544509281741,
0.6279148589634342,
-0.07877663678864508,
-0.006774915293495332,
-0.06537013826367577,
-0.25990680458911103,
0.024489350374356463,
0.0028759361912815695,
0.50129538... | {
"n_parameters": 130,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 39 |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.097017499588266, "params": [[[0.9812000000000001, 0.006200000000000001], [0.9131, 0.003], [0.6803, 0.0027], [1.7013, 0.0081], [1.5817, 0.0039000000000000003]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 170, "probabilities": [0.15566644245227554, 0.15908337... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [1, 0], "expectation_value": -3.299979933508817, "params": [-0.0007, 0.006200000000000001, -0.0018000000000000002, 0.003, -0.0046, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004], "bitstrings": ["110", "111"], "total_optimization_steps": 10, "probabilities": [5.349189553762314e-06, 0.9999936736... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
crz(x6) q[2], q[0];
cr... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
596dc591e846e98017ad5da8b3c9d903 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [90, 91], "expectation_value": -1.8387078804832975, "params": [-0.0106, -0.0129, -0.0089, -0.0083, 0.5081, 0.4787, 0.3664, 0.2796, 0.6005, 0.6035, 0.6035, 0.5967, 0.198, 0.1776, 0.6076, 0.6059, 0.42460000000000003, 0.4268, -0.0108, -0.009000000000000001, -0.0118, -0.0167, 0.4294, 0.4167, 0.2827, 0.153, 0.604... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + -0.125 * (Z(4)... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["101000110", "100100110", "111000001", "101000011", "010110100", "110100100", "011010001", "010110001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.1346745737184226e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.1346745737184226e-08) q[3];
cx q[2], q[3];
rz(0.2526803351014868) q[2];
rx(-1.5707963122896773) q[2];
cx q[3], q[1];
rz(-1.1346745737184226e-08) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIZII",
"IIZIZIZII",
"IIZZIIZII",
"IIZZZIIII",
"IIZZZIZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"... | [
0.5,
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-... | 0.5125 | [
-1.1346745737184226e-8,
0.25268033510148713,
-1.5707962675335227,
-1.570796312289677
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 131 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 23.444026470184326} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[3], 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",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
83b66b06474357803968abb74782f6a8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2233, 2225], "expectation_value": -125.85612836953072, "params": [1.3984, 0.0033, 0.3708, 0.5255000000000001, 0.0028, 1.0277, 0.0024000000000000002, 0.8517, 1.3972, 0.35150000000000003, 0.1932, 0.6254000000000001, 1.4046, 0.30060000000000003, 1.4034, 0.0125, 0.7704000000000001, 0.38180000000000003, 0.002600... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(8)) + 2.5 * Z(1) + 24.5 * Z(0) + 5.5 * Z(4) + -3.5 * Z(3) +... | 16 | 12 | 2 | {"smallest_eigenvalues": [-147.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.5, "smallest_bitstrings": ["011101001110"], "largest_eigenvalue": 228.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.3229787008190983) q[0];
rz(0.34162429973343666) q[0];
rx(-0.26708562889939325) q[1];
rz(0.5133193409816224) q[1];
cx q[1], q[0];
rz(-0.23859837980917326) q[0];
cx q[1], q[0];
rx(1.866523112183231) q[0];
rz(-0.305990269096188) q[0];
rz(-0.4493422397938992) q[1];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIZIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2.5,
24.5,
5.5,
-3.5,
24,
0.5,
7.5,
17,
14,
-13,
-15,
-12.5
] | 0.975183 | [
1.3229787008190983,
0.10302591992426371,
-0.26708562889939325,
0.5133193409816224,
-0.09922495352643798,
1.0591571235653883,
0.0360036168467303,
1.0953607222004442,
1.6380078932485165,
0.5037969376569179,
0.15688954243080117,
0.9352574007812139,
1.5990891065023216,
0.11118503397868904,
1... | {
"n_parameters": 61,
"n_qubits": 12,
"optimal_eigenvalue": -147.5,
"target_ratio": 0.97,
"target_value": -143.075
} | 14 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 7.012110710144043} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
36ca7dc9f5d3c577b81b39c983da4ca4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [768, 896], "expectation_value": -16.173512212867784, "params": [-0.005, 0.0011, 0.0009000000000000001, 0.0032, 0.3754, 0.3801, 0.3788, 0.3763, 0.24250000000000002, 0.24130000000000001, 0.0015, 0.0022, 0.0027, 0.0046, 0.0041, 0.0027, 0.003, 0.0011, 0.0016, 0.0011, 0.0013000000000000002, -0.0011, 0.0006000000... | -0.5 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(8)) + -0.75 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(8)) + -0.75 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["110001111111", "111001111111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.025563091361106155) q[0];
rz(pi/2) q[0];
ry(-0.017085810216880257) q[1];
ry(0.4794383139994387) q[2];
ry(0.4214481756674426) q[3];
ry(0.5232928943326668) q[4];
ry(0.003041402837208773) q[5];
ry(-0.05771891436722061) q[6];
ry(0.45498162530942077) q[7];
ry(-0.041014... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIZIIZIIIIII",
"IIIIIZIIIIZI",
"IIZIIIIZIIII",
"ZIIIZIIIIIII",
"ZIIZIIIII... | [
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
0.5,
-0.25,
1.25,
-0.25,
0,
-0.75,
-0.5,
0.75,
-1... | 0.971252 | [
0.025563091361106155,
-0.017085810216880257,
0.4794383139994387,
0.4214481756674426,
0.5232928943326668,
0.003041402837208773,
-0.05771891436722061,
0.45498162530942077,
-0.04101473717450233,
-0.0656255957661876,
0.10518825026883388,
0.046187321693392555,
-0.14297737123855161,
-0.246264466... | {
"n_parameters": 165,
"n_qubits": 12,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
-6707064883952822093 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 1, 3, 4], [0, 1, 2, 4]]} | {"states": [94, 123], "expectation_value": -0.2783779890452826, "params": [[-0.3748], [0.367]], "bitstrings": ["0100001", "0000100"], "total_optimization_steps": 40, "probabilities": [0.011555016543156167, 0.011591740780577748], "optimization_time": 5.243368148803711} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0100010", "0100001", "0011000", "1000010", "1000001", "0000100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.3104342478088667) q[1];
cx q[0], q[1];
ry(0.3104342478088667) q[1];
cx q[0], q[1];
ry(-0.06825774853184297) q[0];
cx q[1], q[0];
ry(0.06825774853184297) q[0];
cx q[1], q[0];
ry(0.4758014297223227) q[0];
ry(-0.131985571582811) q[1];
ry(-2.1928195413... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x1) q[5];
cx q[4], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IIZIIIZ",
"IIIZIIZ",
"IIZIIZI",
"IIIZIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII"
] | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.972321 | [
1.287351369771707,
0.6562835944882954,
0.3602326194814192,
-0.6208684956177334,
0.2837565044938233,
-0.13651549706368593,
0.6765334200319941,
0.5063196173696777,
-0.5627448597575594,
0.4376113467835364,
-0.5001569480380549,
0.22199923687066586,
-0.263971143165622,
-0.20388279672429488,
-... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 14 |
-665890028297923844 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 3], [1, 3], [2, 3]]} | {"states": [6, 5], "expectation_value": -1.5460302347265333, "params": null, "bitstrings": ["111001", "111010"], "total_optimization_steps": 37, "probabilities": [0.16981647421503304, 0.41323903020589364], "optimization_time": 35.28543138504028} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(0) + 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": ["000100", "111010", "111001"], "largest_eigenvalue": 2.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7460751980015922) q[0];
h q[1];
ry(-0.7460751980015922) q[1];
h q[2];
ry(-0.4023864331823995) q[2];
h q[3];
cx q[3], q[2];
ry(0.4023864331823995) q[2];
cx q[3], q[2];
ry(-0.9571496730723936) q[2];
ry(1.6130208583575758) q[3];
cx q[3], q[1];
ry(0.7460751980... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[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 ... | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIZIIZ",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666666,
0,
0,
0
] | 0.970562 | [
-0.804772866364799,
1.6130208583575758,
-1.4921503960031843,
-0.9380444652257907,
0.005416856848235896,
0.04498772907365763,
-0.8405533631039518,
0.5520138915011259,
-0.8628858012939606,
-0.03821041569320567,
-0.14394497970240766,
0.8998755737280338,
0.7257025690339095,
0.09575255400116803... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 16 |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 68.42231893539429} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
-6715739738485015248 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 2], [4, 5]]} | {"states": [49, 50], "expectation_value": -0.012932438558954137, "params": [[-0.0432], [0.0502]], "bitstrings": ["001110", "001101"], "total_optimization_steps": 10, "probabilities": [0.016032633051152132, 0.016032633051152132], "optimization_time": 0.7994606494903564} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["110010", "110001", "101010", "101001", "001110", "001101", "010110", "010101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.48027419297702223) q[0];
h q[1];
ry(-0.48027419297702223) q[1];
h q[2];
cx q[2], q[1];
ry(0.48027419297702223) q[1];
cx q[2], q[1];
ry(-0.9213902772286457) q[1];
ry(1.1524675820181998) q[2];
h q[3];
cx q[3], q[0];
ry(0.48027419297702223) q[0];
cx q[3], q[0... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
rz(x1) q[3];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.977848 | [
-0.9605483859540445,
0.932630753207473,
-0.7646676522469371,
0.35382315586000346,
0.4396736576214536,
0.308010637732277,
-0.3134452499634171,
-0.5279542263761695,
-0.20746358290881786,
0.1558679609743292,
0.2849615422716489,
0.18210950390916048,
-0.10431238166429777,
0.018702917539946462,
... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 2 |
8147d5d3f18eedfc5937c58448484e9e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [145, 177], "expectation_value": -3.661354929075101, "params": [0.4076, 0.0002, 0.4002, -0.0014, -0.015000000000000001, 0.2048, -0.0092, 0.20350000000000001, 0.3085, -0.0043, 0.303, 0.053200000000000004, 0.4072, 0.0015, 0.4082, -0.0017000000000000001, 0.2008, 0.0886, 0.2018, 0.0908, -0.0118, 0.2146, -0.0161,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01100110", "01001110", "01001011", "01100011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2465199259276095) q[0];
rz(-0.17313386983500711) q[0];
rx(0.06214182236620823) q[1];
rz(0.2676666093987775) q[1];
cx q[1], q[0];
rz(0.12946007486099745) q[0];
cx q[1], q[0];
rz(1.7178223952991676) q[0];
ry(0.923156548350781) q[0];
rz(-1.4317474618941617) q[0];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIIZIZII",
"IZZIIIII",
"IZIZIIII",
"IZIIIZII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-0.5,
-1.5,
0
] | 0.970105 | [
0.24651992592760952,
-0.04367379497400947,
0.06214182236620823,
0.2676666093987775,
0.6970486514234618,
0.2900330146192868,
0.20493378878453716,
0.026318774596607655,
-0.14820607596747076,
0.0685661098521775,
-0.026294917309032585,
0.3836035950297787,
0.0637452727546635,
0.2364012326585858... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 7 |
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