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Quantum Information Processing

AEAQEC codes from l-LCP of codes over finite non-chain rings

  • 01-11-2025
Published in:
Authors
Peng Hu
Xiusheng Liu
Published in
Quantum Information Processing | Issue 11/2025

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Abstract

This article focuses on the construction of Asymmetric Entanglement-Assisted Quantum Error-Correcting (AEAQEC) codes using linear complementary pairs (LCP) of codes over finite non-chain rings. The study explores the algebraic methods and properties of these codes, providing a detailed analysis of their construction and potential applications in quantum error correction. The authors present a novel method for constructing AEAQEC codes by utilizing l-LCP of codes over finite non-chain rings, offering insights into their rich algebraic structure and wide applications in cryptography. The article also includes concrete examples and comparisons with existing codes, demonstrating the effectiveness of the proposed method. Additionally, the study discusses the dimensional formula for the sum of two linear codes over finite non-chain rings and provides a criterion for the pair (C, D) to be an l-LCP of codes. The results highlight the potential of these codes in protecting quantum information from decoherence and quantum noise, making them a valuable tool in the field of quantum computing.
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previous article Bidirectional quantum teleportation using quantum walks
next article The private classical capacity region of classical–quantum broadcasting channel with three receivers
Title
AEAQEC codes from l-LCP of codes over finite non-chain rings
Authors
Peng Hu
Xiusheng Liu
Publication date
01-11-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04973-6
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