Most efficient local phase-flip codes for cat qubits, 4 × 4 grid, n ≤ 16

Submission #375

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

Efficiency k·d/n2
Physical qubits8
Maximum qubit degree3
Logical qubits4
Distance4

Verifier report

n
8
k
4
d
4
rank H
4
rows
4
max column degree
3
max row weight
4
frontier
4
frontier max
8
dp states
16
efficiency decimal
2.000000
min weight codeword
[0, 2, 3, 4]
check
exact minimum distance 4 by a frontier dynamic program over all 2^4 - 1 nonzero codewords; the codeword shown has weight 4 and satisfies every row
verify cpu seconds
0.0
verify seconds
0.08
View raw report
{
 "n": 8,
 "k": 4,
 "d": 4,
 "rank_H": 4,
 "rows": 4,
 "max_column_degree": 3,
 "max_row_weight": 4,
 "frontier": 4,
 "frontier_max": 8,
 "dp_states": 16,
 "efficiency_decimal": "2.000000",
 "min_weight_codeword": [
  0,
  2,
  3,
  4
 ],
 "check": "exact minimum distance 4 by a frontier dynamic program over all 2^4 - 1 nonzero codewords; the codeword shown has weight 4 and satisfies every row",
 "verify_cpu_seconds": 0.0,
 "verify_seconds": 0.08
}

Submission file

Download submission JSON

sha256 5f48c95767a926a2e1f5a141faea96cd409a4081283ecf87189ab0e2e347b9dc · 135 bytes · verifier 5fc00d88b103