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Quantum Information Processing

Triorthogonal codes and self-dual codes

  • 01-07-2024
Published in:
Authors
Minjia Shi
Haodong Lu
Jon-Lark Kim
Patrick Solé
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article explores the construction of triorthogonal matrices and codes, which are crucial for quantum error correction. It introduces the concept of triorthogonal codes and matrices, and discusses methods for constructing new triorthogonal matrices from known ones. The paper also delves into the relationship between self-dual codes and triorthogonal codes, providing algorithms to find triorthogonal subspaces within self-dual codes. The material is arranged to facilitate understanding and includes practical examples and applications. The paper concludes with a summary of the findings and their implications for the field of quantum information theory.
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previous article New quantum codes from Hermitian dual-containing matrix-product codes
Title
Triorthogonal codes and self-dual codes
Authors
Minjia Shi
Haodong Lu
Jon-Lark Kim
Patrick Solé
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04485-9
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