Universal collective rotation channels and quantum error correction
算子代数
2009-11-10 v4 组合数学
泛函分析
表示论
量子物理
摘要
We present and investigate a new class of quantum channels, what we call `universal collective rotation channels', that includes the well-known class of collective rotation channels as a special case. The fixed point set and noise commutant coincide for a channel in this class. Computing the precise structure of this C*-algebra is a core problem in a particular noiseless subsystem method of quantum error correction. We prove that there is an abundance of noiseless subsystems for every channel in this class and that Young tableaux combinatorics can be used to explicitly compute these subsystems.
关键词
引用
@article{arxiv.math/0405032,
title = {Universal collective rotation channels and quantum error correction},
author = {Marius Junge and Peter T. Kim and David W. Kribs},
journal= {arXiv preprint arXiv:math/0405032},
year = {2009}
}
备注
28 pages, preprint version. To appear in J. Math. Physics