Some optimal entanglement-assisted quantum codes constructed from quaternary Hermitian linear complementary dual codes

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Abstract

We establish the existence of optimal entanglement-assisted quantum [[n,k,d;n-k]]2 codes for (n,k,d)=(14,6,7), (15,7,7), (17,6,9), (17,7,8), (19,7,9) and (20,7,10). These codes are obtained from quaternary Hermitian linear complementary dual codes. We also give some observations on the largest minimum weights.

Original languageEnglish
Article number1950053
JournalInternational Journal of Quantum Information
Volume17
Issue number7
DOIs
Publication statusPublished - 2019 Oct 1

Keywords

  • Hermitian linear complementary dual code
  • entanglement-assisted quantum code
  • minimum weight

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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