A new method for constructing EAQEC MDS codes
Information Theory
2020-03-03 v1 math.IT
Abstract
Entanglement-assisted quantum error-correcting (EAQEC) codes make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQEC code from any classical linear code, unlike standard quantum error-correcting codes, which can only be constructed from dual-containing codes. However, the number of pre-shared maximally entangled states is usually calculated by computer search. In this paper, we first give a new formula for calculating the number of pre-shared maximally entangled states. Then, using this formula, we construct three classes of new entanglement-assisted quantum error-correcting maximum-distance-separable ( EAQEC MDS) codes.
Keywords
Cite
@article{arxiv.2003.00843,
title = {A new method for constructing EAQEC MDS codes},
author = {Peng Hu and Xiusheng Liu},
journal= {arXiv preprint arXiv:2003.00843},
year = {2020}
}
Comments
16 pages,3 tables