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This paper advances quantum error correction theory by introducing block turbo codes, the quantum counterpart to classical turbo product codes, and details their iterative decoding algorithms. By simulating performance on depolarizing channels, the study provides critical insights into improving fault tolerance for future scalable quantum processors.
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Quantum Block Turbo Codes

arXiv1 min read

arXiv:2608.30775v1 Announce Type: new Abstract: In the early nineties, the introduction of turbo codes revolutionized classical error correction. The idea was mainly applied on two types of codes: convolutional turbo codes and turbo product codes. The first type of codes was adapted to quantum error correction which initiated the theory of quantum serial turbo codes. In this paper, we present a theory for quantum block turbo codes, the quantum analog of the second type of turbo codes. We describe their iterative decoding algorithm and simulate their performances on a depolarizing channel for different constituent codes.

Abstract:In the early nineties, the introduction of turbo codes revolutionized classical error correction. The idea was mainly applied on two types of codes: convolutional turbo codes and turbo product codes. The first type of codes was adapted to quantum error correction which initiated the theory of quantum serial turbo codes. In this paper, we present a theory for quantum block turbo codes, the quantum analog of the second type of turbo codes. We describe their iterative decoding algorithm and simulate their performances on a depolarizing channel for different constituent codes.

arXiv:2608.30775 [quant-ph]

(or arXiv:2608.30775v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.30775 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 181 words

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