Quantum Codes from Generalized Reed-Solomon Codes and Matrix-Product Codes
Information Theory
2015-08-06 v1 math.IT
Abstract
One of the central tasks in quantum error-correction is to construct quantum codes that have good parameters. In this paper, we construct three new classes of quantum MDS codes from classical Hermitian self-orthogonal generalized Reed-Solomon codes. We also present some classes of quantum codes from matrix-product codes. It turns out that many of our quantum codes are new in the sense that the parameters of quantum codes cannot be obtained from all previous constructions.
Cite
@article{arxiv.1508.00978,
title = {Quantum Codes from Generalized Reed-Solomon Codes and Matrix-Product Codes},
author = {Tao Zhang and Gennian Ge},
journal= {arXiv preprint arXiv:1508.00978},
year = {2015}
}