Good Stabilizer Codes from Quasi-Cyclic Codes over F-4 and F-9

Ezerman M. F., Ling S., Ozkaya B., Sole P.

IEEE International Symposium on Information Theory (ISIT), Paris, Fransa, 7 - 12 Temmuz 2019, ss.2898-2902 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Paris
  • Basıldığı Ülke: Fransa
  • Sayfa Sayıları: ss.2898-2902
  • Anahtar Kelimeler: Construction X, Hermitian hull, quantum stabilizer code, quasi-cyclic code
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F-4 and F-9 to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature.