Quantum Maxwell Erasure Decoder for qLDPC codes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908769036795904 |
|---|---|
| author | Freire, Bruno Costa Alves Régent, François-Marie Le Leverrier, Anthony |
| author_facet | Freire, Bruno Costa Alves Régent, François-Marie Le Leverrier, Anthony |
| contents | We introduce a quantum Maxwell erasure decoder for CSS quantum low-density parity-check (qLDPC) codes that extends peeling with bounded guessing. Guesses are tracked symbolically and can be eliminated by restrictive checks, giving a tunable tradeoff between complexity and performance via a guessing budget: an unconstrained budget recovers Maximum-Likelihood (ML) performance, while a constant budget yields linear-time decoding and approximates ML. We provide theoretical guarantees on asymptotic performance and demonstrate strong performance on bivariate bicycle and quantum Tanner codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10713 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Maxwell Erasure Decoder for qLDPC codes Freire, Bruno Costa Alves Régent, François-Marie Le Leverrier, Anthony Quantum Physics Information Theory We introduce a quantum Maxwell erasure decoder for CSS quantum low-density parity-check (qLDPC) codes that extends peeling with bounded guessing. Guesses are tracked symbolically and can be eliminated by restrictive checks, giving a tunable tradeoff between complexity and performance via a guessing budget: an unconstrained budget recovers Maximum-Likelihood (ML) performance, while a constant budget yields linear-time decoding and approximates ML. We provide theoretical guarantees on asymptotic performance and demonstrate strong performance on bivariate bicycle and quantum Tanner codes. |
| title | Quantum Maxwell Erasure Decoder for qLDPC codes |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2601.10713 |