Most efficient weight-6 qLDPC codes with exact distance, n ≤ 144

Submission #432

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

Efficiency k·d²/n12
Logical qubits12
Distance12
Physical qubits144
Maximum qubit degree6

Verifier report

n
144
k
12
d
12
rank HX
66
rank HZ
66
max qubit degree
6
max check weight
6
efficiency
12/1
distance
exactly 12: the X witness has weight 12, and an exhaustive search found no nontrivial X or Z logical of weight <= 11
search limits
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
search nodes
{"X": 313589, "Z": 369400}
search cpu seconds
1.54
verify seconds
1.6
View raw report
{
 "n": 144,
 "k": 12,
 "d": 12,
 "rank_HX": 66,
 "rank_HZ": 66,
 "max_qubit_degree": 6,
 "max_check_weight": 6,
 "efficiency": "12/1",
 "distance": "exactly 12: the X witness has weight 12, and an exhaustive search found no nontrivial X or Z logical of weight <= 11",
 "search_limits": [
  1,
  2,
  3,
  4,
  5,
  6,
  7,
  8,
  9,
  10,
  11
 ],
 "search_nodes": {
  "X": 313589,
  "Z": 369400
 },
 "search_cpu_seconds": 1.54,
 "verify_seconds": 1.6
}

Submission file

Download submission JSON

sha256 ec52540ad4809e0ef898acd36cc02bc1eb836e6da299c4794e4461c328102e45 · 3,183 bytes · verifier b2aae9b91ba0