Bibliographic Details
| Title: |
New binary quantum stabilizer codes from classical quasi-cyclic codes of index two. |
| Authors: |
Zhang, Zhen-Hui1 (AUTHOR), Li, Zhuo1 (AUTHOR) lizhuo@xidian.edu.cn, Xing, Li-Juan1 (AUTHOR) |
| Source: |
Chinese Physics B. 2026, Vol. 35 Issue 4, p1-11. 11p. |
| Subjects: |
Quantum error correcting codes, Algebraic coding theory, Cyclic codes |
| Abstract: |
We study the algebraic structures of a generalized class of quasi-cyclic codes of index two, and prove that any quasi-cyclic code of index two can be transformed into our proposed quasi-cyclic codes. We determine the generator forms of the proposed quasi-cyclic codes and their Hermitian dual codes. We establish the necessary and sufficient conditions for Hermitian self-orthogonality and dual-containing property to construct quantum stabilizer codes via the Hermitian construction method. As an application, 10 record-breaking quantum stabilizer codes are constructed. [ABSTRACT FROM AUTHOR] |
|
Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
