View in EDS

New binary quantum stabilizer codes from classical quasi-cyclic codes of index two.

Saved in:
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
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 192699116
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: New binary quantum stabilizer codes from classical quasi-cyclic codes of index two.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Zhen-Hui%22">Zhang, Zhen-Hui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Zhuo%22">Li, Zhuo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lizhuo@xidian.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xing%2C+Li-Juan%22">Xing, Li-Juan</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+B%22">Chinese Physics B</searchLink>. 2026, Vol. 35 Issue 4, p1-11. 11p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Quantum+error+correcting+codes%22">Quantum error correcting codes</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+coding+theory%22">Algebraic coding theory</searchLink><br /><searchLink fieldCode="DE" term="%22Cyclic+codes%22">Cyclic codes</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>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.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192699116
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1088/1674-1056/ae067b
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 11
        StartPage: 1
    Subjects:
      – SubjectFull: Quantum error correcting codes
        Type: general
      – SubjectFull: Algebraic coding theory
        Type: general
      – SubjectFull: Cyclic codes
        Type: general
    Titles:
      – TitleFull: New binary quantum stabilizer codes from classical quasi-cyclic codes of index two.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhang, Zhen-Hui
      – PersonEntity:
          Name:
            NameFull: Li, Zhuo
      – PersonEntity:
          Name:
            NameFull: Xing, Li-Juan
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 04
              Text: 2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 16741056
          Numbering:
            – Type: volume
              Value: 35
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: Chinese Physics B
              Type: main
ResultId 1