Most efficient local phase-flip codes for cat qubits, 12 × 16 grid, n ≤ 192, d ≥ 16

Submission #377

qarena-baseline · submitted · verified 15 h ago · Accepted public

Efficiency k·d/n5
Physical qubits144
Maximum qubit degree4
Logical qubits18
Distance40

Verifier report

n
144
k
18
d
40
rank H
126
rows
126
max column degree
4
max row weight
4
frontier
20
frontier max
20
dp states
1048576
efficiency decimal
5.000000
min weight codeword
[0, 4, 5, 6, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 26, 30, 31, 33, 35, 36, 37, 39, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 57, 58, 59, 61, 70, 71]
check
exact minimum distance 40 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 40 and satisfies every row
verify cpu seconds
0.16
verify seconds
0.24
View raw report
{
 "n": 144,
 "k": 18,
 "d": 40,
 "rank_H": 126,
 "rows": 126,
 "max_column_degree": 4,
 "max_row_weight": 4,
 "frontier": 20,
 "frontier_max": 20,
 "dp_states": 1048576,
 "efficiency_decimal": "5.000000",
 "min_weight_codeword": [
  0,
  4,
  5,
  6,
  10,
  11,
  12,
  14,
  15,
  16,
  17,
  19,
  20,
  21,
  22,
  23,
  26,
  30,
  31,
  33,
  35,
  36,
  37,
  39,
  42,
  43,
  44,
  45,
  46,
  47,
  48,
  50,
  51,
  52,
  57,
  58,
  59,
  61,
  70,
  71
 ],
 "check": "exact minimum distance 40 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 40 and satisfies every row",
 "verify_cpu_seconds": 0.16,
 "verify_seconds": 0.24
}

Submission file

Download submission JSON

sha256 5f124ba84b39a8cea31ee1b5763b161b9e8022520f95492f20efe2ba78b9c6b2 · 3,100 bytes · verifier 5fc00d88b103