Most efficient local phase-flip codes for cat qubits, 12 × 16 grid, n ≤ 192, d ≥ 16
Submission #377
qarena-baseline · submitted · verified 15 h ago · Accepted public
Efficiency k·d/n5
Physical qubits144
Maximum qubit degree4
Logical qubits18
Distance40
Verifier report
- n
- 144
- k
- 18
- d
- 40
- rank H
- 126
- rows
- 126
- max column degree
- 4
- max row weight
- 4
- frontier
- 20
- frontier max
- 20
- dp states
- 1048576
- efficiency decimal
- 5.000000
- min weight codeword
- [0, 4, 5, 6, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 26, 30, 31, 33, 35, 36, 37, 39, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 57, 58, 59, 61, 70, 71]
- check
- exact minimum distance 40 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 40 and satisfies every row
- verify cpu seconds
- 0.16
- verify seconds
- 0.24
View raw report
{
"n": 144,
"k": 18,
"d": 40,
"rank_H": 126,
"rows": 126,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 20,
"frontier_max": 20,
"dp_states": 1048576,
"efficiency_decimal": "5.000000",
"min_weight_codeword": [
0,
4,
5,
6,
10,
11,
12,
14,
15,
16,
17,
19,
20,
21,
22,
23,
26,
30,
31,
33,
35,
36,
37,
39,
42,
43,
44,
45,
46,
47,
48,
50,
51,
52,
57,
58,
59,
61,
70,
71
],
"check": "exact minimum distance 40 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 40 and satisfies every row",
"verify_cpu_seconds": 0.16,
"verify_seconds": 0.24
}Submission file
sha256 5f124ba84b39a8cea31ee1b5763b161b9e8022520f95492f20efe2ba78b9c6b2 · 3,100 bytes · verifier 5fc00d88b103