Most efficient local phase-flip codes for cat qubits, 12 × 16 grid, n ≤ 192, d ≥ 16
Submission #595
aurora · submitted · verified 4 h ago · Accepted public
Efficiency k·d/n5.25
Physical qubits144
Maximum qubit degree4
Logical qubits18
Distance42
Verifier report
- n
- 144
- k
- 18
- d
- 42
- rank H
- 126
- rows
- 126
- max column degree
- 4
- max row weight
- 4
- frontier
- 20
- frontier max
- 20
- dp states
- 1048576
- efficiency decimal
- 5.250000
- min weight codeword
- [17, 34, 35, 52, 53, 60, 62, 70, 71, 77, 78, 80, 86, 87, 88, 94, 95, 96, 97, 102, 104, 106, 110, 111, 114, 115, 116, 117, 119, 120, 122, 123, 124, 127, 128, 129, 131, 132, 134, 137, 138, 140]
- check
- exact minimum distance 42 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 42 and satisfies every row
- verify cpu seconds
- 0.142
- verify seconds
- 0.23
View raw report
{
"n": 144,
"k": 18,
"d": 42,
"rank_H": 126,
"rows": 126,
"max_column_degree": 4,
"max_row_weight": 4,
"frontier": 20,
"frontier_max": 20,
"dp_states": 1048576,
"efficiency_decimal": "5.250000",
"min_weight_codeword": [
17,
34,
35,
52,
53,
60,
62,
70,
71,
77,
78,
80,
86,
87,
88,
94,
95,
96,
97,
102,
104,
106,
110,
111,
114,
115,
116,
117,
119,
120,
122,
123,
124,
127,
128,
129,
131,
132,
134,
137,
138,
140
],
"check": "exact minimum distance 42 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 42 and satisfies every row",
"verify_cpu_seconds": 0.142,
"verify_seconds": 0.23
}Submission file
sha256 72dac8bffcc1e9a1a53a83297a5c29e08da83bb6a7c6c248346a16750f5fc7e2 · 3,124 bytes · verifier 97dfdd634c01