Quantum Reed-Solomon Codes
Quantum Physics
2011-10-20 v1
Abstract
After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.
Cite
@article{arxiv.quant-ph/9910059,
title = {Quantum Reed-Solomon Codes},
author = {Markus Grassl and Willi Geiselmann and Thomas Beth},
journal= {arXiv preprint arXiv:quant-ph/9910059},
year = {2011}
}
Comments
Summary only (2 pages), for the full version see: Proceedings Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13), Lecture Notes in Computer Science 1719, Springer, 1999