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

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In 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.

Açıklama

Anahtar Kelimeler

Skew Cyclic Codes, Generator Polynomials, Dual Codes, Quantum Codes

Kaynak

Quantum Information Processing

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

22

Sayı

5

Künye