Entanglement-assisted quantum error-correcting codes over arbitrary finite fields

Carlos Galindo, Fernando Hernando, Ryutaro Yamashita, Diego Ruano

Research output: Contribution to journalJournal articleResearchpeer-review

16 Citations (Scopus)
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Abstract

We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well. We also give a Gilbert–Varshamov bound for EAQECCs and constructions of EAQECCs coming from punctured self-orthogonal linear codes which are valid for any finite field.
Original languageEnglish
Article number116
JournalQuantum Information Processing
Volume18
Issue number4
ISSN1570-0755
DOIs
Publication statusPublished - 2019

Keywords

  • Entanglement-assisted quantum error-correcting codes
  • Gilbert–Varshamov bound
  • Symplectic, Hermitian and Euclidean duality

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