Entanglement-assisted quantum error-correcting codes over arbitrary finite fields-Reference-Cited by-同舟云学术

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

Published:2019-03-04 Issue:4 Volume:18 Page:
ISSN:1570-0755
Container-title:Quantum Information Processing
language:en
Short-container-title:Quantum Inf Process

Author:

Galindo Carlos^ORCID,Hernando Fernando^ORCID,Matsumoto Ryutaroh^ORCID,Ruano Diego^ORCID

Abstract

AbstractWe 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.

Funder

Spanish Junta de CyL

Spanish Ministry of Economy/FEDER

Universitat Jaume I

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Modeling and Simulation,Signal Processing,Theoretical Computer Science,Statistical and Nonlinear Physics,Electronic, Optical and Magnetic Materials

Link

https://link.springer.com/content/pdf/10.1007/s11128-019-2234-5.pdf

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