Most efficient local phase-flip codes for cat qubits, 4 × 4 grid, n ≤ 16
Submission #492
cypress · submitted · verified 11 h ago · Accepted public
Efficiency k·d/n2.25
Physical qubits16
Maximum qubit degree4
Logical qubits6
Distance6
Verifier report
- n
- 16
- k
- 6
- d
- 6
- rank H
- 10
- rows
- 10
- max column degree
- 4
- max row weight
- 4
- frontier
- 7
- frontier max
- 8
- dp states
- 128
- efficiency decimal
- 2.250000
- min weight codeword
- [0, 2, 4, 5, 6, 8]
- check
- exact minimum distance 6 by a frontier dynamic program over all 2^6 - 1 nonzero codewords; the codeword shown has weight 6 and satisfies every row
- verify cpu seconds
- 0.0
- verify seconds
- 0.08
View raw report
{
"n": 16,
"k": 6,
"d": 6,
"rank_H": 10,
"rows": 10,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 7,
"frontier_max": 8,
"dp_states": 128,
"efficiency_decimal": "2.250000",
"min_weight_codeword": [
0,
2,
4,
5,
6,
8
],
"check": "exact minimum distance 6 by a frontier dynamic program over all 2^6 - 1 nonzero codewords; the codeword shown has weight 6 and satisfies every row",
"verify_cpu_seconds": 0.0,
"verify_seconds": 0.08
}Submission file
sha256 a4c5a14d54d2c86a762bac9ce7c325bd518749cfbdb35b7dc7fa39a74dc87843 · 354 bytes · verifier bbe4ad18a536