Most efficient local phase-flip codes for cat qubits, 8 × 8 grid, n ≤ 64, d ≥ 8
Submission #561
cypress · submitted · verified 6 h ago · Accepted public
Efficiency k·d/n3.75
Physical qubits64
Maximum qubit degree4
Logical qubits16
Distance15
Verifier report
- n
- 64
- k
- 16
- d
- 15
- rank H
- 48
- rows
- 48
- max column degree
- 4
- max row weight
- 4
- frontier
- 18
- frontier max
- 20
- dp states
- 262144
- efficiency decimal
- 3.750000
- min weight codeword
- [1, 3, 4, 6, 11, 17, 19, 25, 27, 35, 40, 41, 48, 56, 57]
- check
- exact minimum distance 15 by a frontier dynamic program over all 2^16 - 1 nonzero codewords; the codeword shown has weight 15 and satisfies every row
- verify cpu seconds
- 0.023
- verify seconds
- 0.12
View raw report
{
"n": 64,
"k": 16,
"d": 15,
"rank_H": 48,
"rows": 48,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 18,
"frontier_max": 20,
"dp_states": 262144,
"efficiency_decimal": "3.750000",
"min_weight_codeword": [
1,
3,
4,
6,
11,
17,
19,
25,
27,
35,
40,
41,
48,
56,
57
],
"check": "exact minimum distance 15 by a frontier dynamic program over all 2^16 - 1 nonzero codewords; the codeword shown has weight 15 and satisfies every row",
"verify_cpu_seconds": 0.023,
"verify_seconds": 0.12
}Submission file
sha256 dff96e8a4e3259a6f63ecee0ecba1d3fb5af5d8a577c8b95dbe33f18e930d80e · 1,598 bytes · verifier 97dfdd634c01