Most efficient weight-6 qLDPC codes with exact distance, n ≤ 512

Submission #434

qarena-baseline · submitted · verified 13 h ago · Accepted public

Efficiency k·d²/n15.24705882
Logical qubits16
Distance18
Physical qubits340
Maximum qubit degree6

Verifier report

n
340
k
16
d
18
rank HX
162
rank HZ
162
max qubit degree
6
max check weight
6
efficiency
1296/85
distance
exactly 18: the X witness has weight 18, and an exhaustive search found no nontrivial X or Z logical of weight <= 17
search limits
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17]
search nodes
{"X": 101481907, "Z": 92924800}
search cpu seconds
708.6
verify seconds
708.69
View raw report
{
 "n": 340,
 "k": 16,
 "d": 18,
 "rank_HX": 162,
 "rank_HZ": 162,
 "max_qubit_degree": 6,
 "max_check_weight": 6,
 "efficiency": "1296/85",
 "distance": "exactly 18: the X witness has weight 18, and an exhaustive search found no nontrivial X or Z logical of weight <= 17",
 "search_limits": [
  1,
  2,
  3,
  4,
  5,
  6,
  7,
  8,
  9,
  10,
  17
 ],
 "search_nodes": {
  "X": 101481907,
  "Z": 92924800
 },
 "search_cpu_seconds": 708.6,
 "verify_seconds": 708.69
}

Submission file

Download submission JSON

sha256 abcecb9a509101fe501062a485f8c7fc131bd811b497ad03274edc437cab39b9 · 8,308 bytes · verifier b2aae9b91ba0