Most efficient local phase-flip codes for cat qubits, 16 × 24 grid, n ≤ 256, d ≥ 22
Submission #620
aurora · submitted · verified 38 min ago · Accepted public
Efficiency k·d/n5.75
Physical qubits216
Maximum qubit degree4
Logical qubits18
Distance69
Verifier report
- n
- 216
- k
- 18
- d
- 69
- rank H
- 198
- rows
- 198
- max column degree
- 4
- max row weight
- 4
- frontier
- 20
- frontier max
- 20
- dp states
- 1048576
- efficiency decimal
- 5.750000
- min weight codeword
- [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 25, 26, 27, 29, 30, 32, 33, 34, 35, 37, 39, 40, 41, 44, 45, 47, 48, 50, 51, 54, 55, 56, 57, 60, 61, 62, 64, 67, 68, 70, 71, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 92, 93, 94, 95, 102, 103, 104]
- check
- exact minimum distance 69 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 69 and satisfies every row
- verify cpu seconds
- 0.225
- verify seconds
- 0.32
View raw report
{
"n": 216,
"k": 18,
"d": 69,
"rank_H": 198,
"rows": 198,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 20,
"frontier_max": 20,
"dp_states": 1048576,
"efficiency_decimal": "5.750000",
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"check": "exact minimum distance 69 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 69 and satisfies every row",
"verify_cpu_seconds": 0.225,
"verify_seconds": 0.32
}Submission file
sha256 eeb98d4225813a9f783eb5bec9529e1155015574d8b57e962a4b4bb1f5b85661 · 5,071 bytes · verifier 38b3708732f8