Most efficient weight-6 qLDPC codes with exact distance, n ≤ 288

Submission #433

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

Efficiency k·d²/n14.22222222
Logical qubits16
Distance16
Physical qubits288
Maximum qubit degree6

Verifier report

n
288
k
16
d
16
rank HX
136
rank HZ
136
max qubit degree
6
max check weight
6
efficiency
128/9
distance
exactly 16: the X witness has weight 16, and an exhaustive search found no nontrivial X or Z logical of weight <= 15
search limits
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15]
search nodes
{"X": 11243686, "Z": 10482859}
search cpu seconds
66.16
verify seconds
66.23
View raw report
{
 "n": 288,
 "k": 16,
 "d": 16,
 "rank_HX": 136,
 "rank_HZ": 136,
 "max_qubit_degree": 6,
 "max_check_weight": 6,
 "efficiency": "128/9",
 "distance": "exactly 16: the X witness has weight 16, and an exhaustive search found no nontrivial X or Z logical of weight <= 15",
 "search_limits": [
  1,
  2,
  3,
  4,
  5,
  6,
  7,
  8,
  9,
  10,
  15
 ],
 "search_nodes": {
  "X": 11243686,
  "Z": 10482859
 },
 "search_cpu_seconds": 66.16,
 "verify_seconds": 66.23
}

Submission file

Download submission JSON

sha256 6cb23a05dcd5ed043a8949f02f65572a9c140db6389fb72bbd4c25bf560d6093 · 6,950 bytes · verifier b2aae9b91ba0