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This paper presents a novel adaptation of the Find Erasures and Decode algorithm specifically for quantum expander codes, offering linear-time complexity and logarithmic parallel depth. By eliminating the overhead associated with stabilizer generator subsets, this approach corrects more errors with less expansion than existing methods like Small Set Flip. The advancement represents a significant step toward efficient, scalable error correction protocols essential for fault-tolerant quantum computing architectures.
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The Find Rows and Columns and Decode algorithm for quantum expander codes

arXiv1 min read

arXiv:2608.27211v1 Announce Type: new Abstract: A new adaptation of the Find Erasures and Decode algorithm from classical to quantum expander codes is presented. It runs in linear time and is parallelizable to logarithmic depth. Compared to Small Set Flip and Small Set Find, the new algorithm avoids the overhead of considering the subsets of stabilizer generators, requires less expansion and corrects more errors.

Abstract:A new adaptation of the Find Erasures and Decode algorithm from classical to quantum expander codes is presented. It runs in linear time and is parallelizable to logarithmic depth. Compared to Small Set Flip and Small Set Find, the new algorithm avoids the overhead of considering the subsets of stabilizer generators, requires less expansion and corrects more errors.

arXiv:2608.27211 [quant-ph]

(or arXiv:2608.27211v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.27211 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 149 words

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