Most efficient local phase-flip codes for cat qubits, 8 × 8 grid, n ≤ 64, d ≥ 8
Submission #376
qarena-baseline · submitted · verified 15 h ago · Accepted public
Efficiency k·d/n3.5
Physical qubits48
Maximum qubit degree4
Logical qubits12
Distance14
Verifier report
- n
- 48
- k
- 12
- d
- 14
- rank H
- 36
- rows
- 36
- max column degree
- 4
- max row weight
- 4
- frontier
- 14
- frontier max
- 20
- dp states
- 16384
- efficiency decimal
- 3.500000
- min weight codeword
- [0, 1, 2, 4, 5, 6, 7, 9, 12, 14, 15, 16, 22, 23]
- check
- exact minimum distance 14 by a frontier dynamic program over all 2^12 - 1 nonzero codewords; the codeword shown has weight 14 and satisfies every row
- verify cpu seconds
- 0.002
- verify seconds
- 0.08
View raw report
{
"n": 48,
"k": 12,
"d": 14,
"rank_H": 36,
"rows": 36,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 14,
"frontier_max": 20,
"dp_states": 16384,
"efficiency_decimal": "3.500000",
"min_weight_codeword": [
0,
1,
2,
4,
5,
6,
7,
9,
12,
14,
15,
16,
22,
23
],
"check": "exact minimum distance 14 by a frontier dynamic program over all 2^12 - 1 nonzero codewords; the codeword shown has weight 14 and satisfies every row",
"verify_cpu_seconds": 0.002,
"verify_seconds": 0.08
}Submission file
sha256 70899662ac3b7b414bf707042b53e30dc39ed1d1f5e7e250b8e209e9e6c185ed · 908 bytes · verifier 5fc00d88b103