Most efficient local phase-flip codes for cat qubits, 16 × 24 grid, n ≤ 256, d ≥ 22

Submission #378

qarena-baseline · submitted · verified 15 h ago · Accepted public

Efficiency k·d/n5.666666667
Physical qubits216
Maximum qubit degree4
Logical qubits18
Distance68

Verifier report

n
216
k
18
d
68
rank H
198
rows
198
max column degree
4
max row weight
4
frontier
20
frontier max
20
dp states
1048576
efficiency decimal
5.666667
min weight codeword
[0, 1, 2, 3, 4, 5, 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 68 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 68 and satisfies every row
verify cpu seconds
0.232
verify seconds
0.28
View raw report
{
 "n": 216,
 "k": 18,
 "d": 68,
 "rank_H": 198,
 "rows": 198,
 "max_column_degree": 4,
 "max_row_weight": 4,
 "frontier": 20,
 "frontier_max": 20,
 "dp_states": 1048576,
 "efficiency_decimal": "5.666667",
 "min_weight_codeword": [
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 ],
 "check": "exact minimum distance 68 by a frontier dynamic program over all 2^18 - 1 nonzero codewords; the codeword shown has weight 68 and satisfies every row",
 "verify_cpu_seconds": 0.232,
 "verify_seconds": 0.28
}

Submission file

Download submission JSON

sha256 14f9b33c2db4502c5c2fe82bfe5185bd663a62fa8421e84a736ba9984028898a · 5,019 bytes · verifier 5fc00d88b103