Entanglement-assisted binary quantum codes from skew cyclic codes over F2 x (F2 + vF2)

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dc.contributor.authorÇalışkan, Fatma
dc.contributor.authorAksoy, Refia
dc.contributor.authorAydın, Nuh
dc.contributor.authorLiu, Peihan
dc.date.accessioned2024-06-13T20:17:50Z
dc.date.available2024-06-13T20:17:50Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn the current paper, we study skew cyclic codes over the ring S := F-2 x (F-2 + vF(2)) with v(2) = v. We investigate the structural properties of skew cyclic codes over the ring S. Also, we describe the dual codes of skew cyclic codes with respect to the Euclidean inner product and the Hermitian inner product. Furthermore, we give a necessary and sufficient condition for a skew cyclic code over S to contain its dual. Using these results, we show that binary quantum error-correcting codes as well as entanglement-assisted quantum error-correcting codes can be constructed from skew cyclic codes over S. Finally, we give examples of binary entanglement-assisted quantum error-correcting codes with good parameters from skew cyclic codes over S.
dc.identifier.doi10.1007/s11128-023-03945-y
dc.identifier.issn1570-0755
dc.identifier.issn1573-1332
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85159069001
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s11128-023-03945-y
dc.identifier.urihttps://hdl.handle.net/11501/1106
dc.identifier.volume22
dc.identifier.wosWOS:000986095800003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofQuantum Information Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.relation.tubitakinfo:eu-repo/grantAgreement/TUBITAK/SOBAG/121F245
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSkew Cyclic Codes
dc.subjectGenerator Polynomials
dc.subjectDual Codes
dc.subjectQuantum Codes
dc.titleEntanglement-assisted binary quantum codes from skew cyclic codes over F2 x (F2 + vF2)
dc.typeArticle

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