Entanglement-Assisted Quantum Error Correcting Codes From RS Codes and BCH Codes with Extension Degree 2
Information Theory
2022-08-25 v2 math.IT
Abstract
Entanglement-assisted quantum error correcting codes (EAQECCs) constructed from Reed-Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs coming from any Reed-Solomon code, for the Hermitian metric, and from any BCH code with extension degree and consecutive cyclotomic cosets, for both the Euclidean and the Hermitian metric. The main task in this work is the computation of a completely general formula for , the minimum number of required maximally entangled quantum states.
Cite
@article{arxiv.2007.01113,
title = {Entanglement-Assisted Quantum Error Correcting Codes From RS Codes and BCH Codes with Extension Degree 2},
author = {Carlos Galindo and Fernando Hernando and Diego Ruano},
journal= {arXiv preprint arXiv:2007.01113},
year = {2022}
}