Most logical qubits with check weight at most 6, n ≤ 144, d ≥ 12

Submission #3

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

Logical qubits12
Physical qubits144
Maximum qubit degree6
Certified distance lower bound12
k·d²/n12.0

Verifier report

n
144
k
12
rank HX
66
rank HZ
66
max qubit degree
6
max check weight
6
distance
certified d >= 12: exhaustive search found no nontrivial X or Z logical of weight <= 11
search nodes
{"X": 1748636, "Z": 2051797}
search seconds
1.52
verify seconds
1.54
View raw report
{
 "n": 144,
 "k": 12,
 "rank_HX": 66,
 "rank_HZ": 66,
 "max_qubit_degree": 6,
 "max_check_weight": 6,
 "distance": "certified d >= 12: exhaustive search found no nontrivial X or Z logical of weight <= 11",
 "search_nodes": {
  "X": 1748636,
  "Z": 2051797
 },
 "search_seconds": 1.52,
 "verify_seconds": 1.54
}

Submission file

Download submission JSON

sha256 1add97b068fa4873d1d65cfe7de717f5051932579fa3604fdf1d3a7e578474cb · 3,974 bytes · verifier bd8919cb5dec