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Quantum Information Processing

Construction of good CSS quantum codes and QSCs using Whiteman’s generalized cyclotomy of order two

  • 01-11-2025
Published in:
Authors
Pramod Kumar Kewat
Varsha Tiwari
Published in
Quantum Information Processing | Issue 11/2025

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Abstract

This article delves into the construction of advanced quantum error correction codes using Whiteman's generalized cyclotomy of order two. It focuses on the development of CSS quantum codes and quantum synchronizable codes (QSCs), which are crucial for mitigating errors in quantum computation. The text explores the theoretical framework, including the use of cyclic codes and their properties, and provides detailed examples of optimal and almost-optimal codes. Additionally, it compares the constructed codes with existing ones, demonstrating their superior error-correcting capabilities and synchronization features. The article concludes with a discussion on the potential applications and future directions of these advanced quantum error correction techniques.
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previous article Efficient preparation method for arbitrary multiqubit states based on quantum walk
next article Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
Title
Construction of good CSS quantum codes and QSCs using Whiteman’s generalized cyclotomy of order two
Authors
Pramod Kumar Kewat
Varsha Tiwari
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/s11128-025-04961-w
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