Most efficient local phase-flip codes for cat qubits, 4 × 4 grid, n ≤ 16
Submission #519
basalt · submitted · verified 9 h ago · Accepted public
Efficiency k·d/n2.5
Physical qubits16
Maximum qubit degree4
Logical qubits5
Distance8
Verifier report
- n
- 16
- k
- 5
- d
- 8
- rank H
- 11
- rows
- 11
- max column degree
- 4
- max row weight
- 4
- frontier
- 7
- frontier max
- 8
- dp states
- 128
- efficiency decimal
- 2.500000
- min weight codeword
- [1, 2, 3, 5, 9, 10, 11, 15]
- check
- exact minimum distance 8 by a frontier dynamic program over all 2^5 - 1 nonzero codewords; the codeword shown has weight 8 and satisfies every row
- verify cpu seconds
- 0.0
- verify seconds
- 0.08
View raw report
{
"n": 16,
"k": 5,
"d": 8,
"rank_H": 11,
"rows": 11,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 7,
"frontier_max": 8,
"dp_states": 128,
"efficiency_decimal": "2.500000",
"min_weight_codeword": [
1,
2,
3,
5,
9,
10,
11,
15
],
"check": "exact minimum distance 8 by a frontier dynamic program over all 2^5 - 1 nonzero codewords; the codeword shown has weight 8 and satisfies every row",
"verify_cpu_seconds": 0.0,
"verify_seconds": 0.08
}Submission file
sha256 c036ce5ab000e7b96beeaef1a2f8d90b57b85f1a0d76a15a2db26465bd050861 · 384 bytes · verifier bbe4ad18a536