Metachecks in Bivariate Bicycle Codes: Syndrome Distance, Measurement Faults, and Repair Limits

arXiv:2609.39121 · quant-ph, cs.IT, math.IT · Submitted 2026-09-30 · Read on arXiv

quant-ph, cs.IT, math.IT

Submitted: 2026-09-30

Updated: 2026-10-01

Code: https://github.com/mohammad-rowshan/BB-Codes-Metachecks-Syndrome-Repair

Terminology

• Redundancy — 13× in this paper · explained in 2 episodes
• Decode — 3× in this paper · explained in 2 episodes
• Ablation — 2× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes

Sources

• Single-Shot Decoding and Fault-tolerant Gates with Trivariate Tricycle Codes
• Single-shot and two-shot decoding with generalized bicycle codes
• Multivariate Multicycle Codes for Complete Single-Shot Decoding
• Logical Operator Decomposition for Distance Analysis of Bivariate Bicycle Codes
• Single-Shot and Few-Shot Decoding via Stabilizer Redundancy in Bivariate Bicycle Codes

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