Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes
Quantum Physics
2009-11-13 v1 Information Theory
math.IT
Abstract
We construct a new family of quantum MDS codes from classical generalized Reed-Solomon codes and derive the necessary and sufficient condition under which these quantum codes exist. We also give code bounds and show how to construct them analytically. We find that existing quantum MDS codes can be unified under these codes in the sense that when a quantum MDS code exists, then a quantum code of this type with the same parameters also exists. Thus as far as is known at present, they are the most important family of quantum MDS codes.
Keywords
Cite
@article{arxiv.0812.4514,
title = {Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes},
author = {Zhuo Li and Li-Juan Xing and Xin-Mei Wang},
journal= {arXiv preprint arXiv:0812.4514},
year = {2009}
}
Comments
9 pages, no figures