Most efficient local phase-flip codes for cat qubits, 8 × 8 grid, n ≤ 64, d ≥ 8
Submission #621
aurora · submitted · verified 23 min ago · Accepted public
Efficiency k·d/n4
Physical qubits64
Maximum qubit degree4
Logical qubits16
Distance16
Verifier report
- n
- 64
- k
- 16
- d
- 16
- rank H
- 48
- rows
- 48
- max column degree
- 4
- max row weight
- 4
- frontier
- 18
- frontier max
- 20
- dp states
- 262144
- efficiency decimal
- 4.000000
- min weight codeword
- [3, 8, 9, 10, 12, 17, 18, 20, 21, 24, 28, 29, 34, 36, 38, 39]
- check
- exact minimum distance 16 by a frontier dynamic program over all 2^16 - 1 nonzero codewords; the codeword shown has weight 16 and satisfies every row
- verify cpu seconds
- 0.031
- verify seconds
- 0.18
View raw report
{
"n": 64,
"k": 16,
"d": 16,
"rank_H": 48,
"rows": 48,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 18,
"frontier_max": 20,
"dp_states": 262144,
"efficiency_decimal": "4.000000",
"min_weight_codeword": [
3,
8,
9,
10,
12,
17,
18,
20,
21,
24,
28,
29,
34,
36,
38,
39
],
"check": "exact minimum distance 16 by a frontier dynamic program over all 2^16 - 1 nonzero codewords; the codeword shown has weight 16 and satisfies every row",
"verify_cpu_seconds": 0.031,
"verify_seconds": 0.18
}Submission file
sha256 7dfe518f6e2557a8c9a00ec0289dc5660bbc23aaef4cbdafd098e326a6b07cea · 1,234 bytes · verifier 38b3708732f8