Simple, Efficient, and Generic Postselection Decoding for qLDPC Codes.

Authors

Haipeng Xie, Nobuyuki Yoshioka, Kento Tsubouchi, Ying Li

Published in

Physical review letters. Volume 137. Issue 11. Pages 110601. Sep 11, 2026.

Abstract

Quantum error correction is indispensable for scalable quantum computation. Although encoding logical qubits substantially enhances noise resilience, achieving logical error rates low enough for practical algorithms remains challenging on existing hardware. Here, we introduce argument reweighting, a simple and broadly applicable postselection decoding strategy that boosts the performance of maximum-likelihood-type decoders, including minimum-weight perfect matching and belief-propagation families. The method suppresses logical errors by performing additional decoding rounds under reweighted error models, enabling acceptance of high-confidence syndrome outcomes. Circuit-level simulations across multiple decoders and qLDPC codes show that argument reweighting substantially suppresses logical errors, requiring a rejection rate of only 1.44×10^{-5} to reduce the logical error rate by almost 2 orders of magnitude for the [[144,12,12]] bivariate bicycle code. These results establish argument reweighting as a practical and resource-efficient approach for enhancing quantum fault tolerance.

PMID:
42789844
Bibliographic data and abstract were imported from PubMed on 26 Sep 2026.

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