An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve

René Bødker Christensen*, Carlos Munuera, Francisco Revson F. Pereira, Diego Ruano

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Abstrakt

We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown parameter is c, the number of required maximally entangled quantum states since the Hermitian dual of an AG code is unknown. In this article, we present an efficient algorithmic approach for computing c for this family of EAQECCs. As a result, this algorithm allows us to provide EAQECCs with excellent parameters over any field size.
OriginalsprogEngelsk
TidsskriftAdvances in Mathematics of Communication
Antal sider23
ISSN1930-5346
DOI
StatusE-pub ahead of print - jan. 2022

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