Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes
Information Theory
2023-11-28 v2 Commutative Algebra
math.IT
Abstract
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can construct symmetric and asymmetric entanglement-assisted quantum error-correcting codes, which in many cases have new or better parameters than the ones available in the literature.
Cite
@article{arxiv.2304.08121,
title = {Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes},
author = {Philippe Gimenez and Diego Ruano and Rodrigo San-José},
journal= {arXiv preprint arXiv:2304.08121},
year = {2023}
}