Algebraic techniques in designing quantum synchronizable codes
Quantum Physics
2013-07-19 v3 Information Theory
math.IT
Abstract
Quantum synchronizable codes are quantum error-correcting codes that can correct the effects of quantum noise as well as block synchronization errors. We improve the previously known general framework for designing quantum synchronizable codes through more extensive use of the theory of finite fields. This makes it possible to widen the range of tolerable magnitude of block synchronization errors while giving mathematical insight into the algebraic mechanism of synchronization recovery. Also given are families of quantum synchronizable codes based on punctured Reed-Muller codes and their ambient spaces.
Cite
@article{arxiv.1304.0502,
title = {Algebraic techniques in designing quantum synchronizable codes},
author = {Yuichiro Fujiwara and Vladimir D. Tonchev and Tony W. H. Wong},
journal= {arXiv preprint arXiv:1304.0502},
year = {2013}
}
Comments
9 pages, no figures. The framework presented in this article supersedes the one given in arXiv:1206.0260 by the first author