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Qldpc Advanced Quantum Codes

Quantum Maxwell Erasure Decoder for qLDPC codes

arXiv
Authors: Bruno Costa Alves Freire, François-Marie Le Régent, Anthony Leverrier

Year

2026

Paper ID

3733

Status

Preprint

Abstract Read

~2 min

Abstract Words

78

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the qLDPC & Advanced Quantum Codes research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We introduce a quantum Maxwell erasure decoder for CSS quantum low-density parity-check (qLDPC) codes that extends peeling with bounded guessing.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.10713 [2] arXiv https://arxiv.org/abs/2601.10713 [3] Publisher https://arxiv.org/abs/2601.10713

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