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

Carlos Galindo, Fernando Hernando, Ryutaro Yamashita, Diego Ruano

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

18 Citationer (Scopus)
93 Downloads (Pure)

Abstrakt

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.
OriginalsprogEngelsk
Artikelnummer116
TidsskriftQuantum Information Processing
Vol/bind18
Udgave nummer4
ISSN1570-0755
DOI
StatusUdgivet - 2019

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