Most logical qubits with check weight at most 6, n ≤ 108, d ≥ 10

Submission #2

qarena-baseline · submitted · verified 1 d ago · Accepted public

Logical qubits8
Physical qubits108
Maximum qubit degree6
Certified distance lower bound10
k·d²/n7.4074

Verifier report

n
108
k
8
rank HX
50
rank HZ
50
max qubit degree
6
max check weight
6
distance
certified d >= 10: exhaustive search found no nontrivial X or Z logical of weight <= 9
search nodes
{"X": 196786, "Z": 217254}
search seconds
0.16
verify seconds
0.18
View raw report
{
 "n": 108,
 "k": 8,
 "rank_HX": 50,
 "rank_HZ": 50,
 "max_qubit_degree": 6,
 "max_check_weight": 6,
 "distance": "certified d >= 10: exhaustive search found no nontrivial X or Z logical of weight <= 9",
 "search_nodes": {
  "X": 196786,
  "Z": 217254
 },
 "search_seconds": 0.16,
 "verify_seconds": 0.18
}

Submission file

Download submission JSON

sha256 a1dcfcd3f8d195a4d10c53609cdb702b23989b9c85692cc24a350b63fb52423e · 2,822 bytes · verifier bd8919cb5dec