Skew G-codes over F4[u,v]/⟨u2,v2,uv-vu⟩ and new binary entanglement-assisted quantum error-correcting codes

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Şahinkaya S., Ustun D.

Quantum Information Processing, cilt.24, sa.7, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 7
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s11128-025-04796-5
  • Dergi Adı: Quantum Information Processing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Binary EAQEC codes, Hermitian construction, Skew G-code, Skew group rings
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we explore the algebraic structure of skew-G codes over the ring A=F4[u,v]/⟨u2,v2,uv-vu⟩. In addition to that, we bridge theoretical results with practical applications in quantum computing. More specifically, we derive a significant number of new binary EAQEC codes from the gray images of the skew-G codes over A according to Grassl’s codetable [14].