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arXiv · 2510.07602

Noisy-Syndrome Decoding of Hypergraph Product Codes

Venkata Gandikota·Elena Grigorescu·Vatsal Jha·S. Venkitesh
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Abstract

Hypergraph product codes are a prototypical family of quantum codes with state-of-the-art decodability properties. In this work we consider the "noisy" syndrome decoding problem and exact recovery problem for hypergraph product codes and show a reduction to the decoding and exact recovery of classical codes in the noisy syndrome setting. Our results hold for a broad class of codes admitting efficient syndrome decoding, including Sipser-Spielman codes and Reed-Solomon codes.

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Venkata Gandikota, Elena Grigorescu, Vatsal Jha, S. Venkitesh. 2025-10-08. Noisy-Syndrome Decoding of Hypergraph Product Codes. https://arxiv.org/abs/2510.07602

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