Email this article Algebraic Methods of the Study of Quantum Information Transfer Channels
- Authors: Amosov G.G.1,2,3
-
Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Saint Petersburg State University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 241, No 2 (2019)
- Pages: 109-116
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242865
- DOI: https://doi.org/10.1007/s10958-019-04411-w
- ID: 242865
Cite item
Open Access
Access granted
Subscription Access
Abstract
Kraus representation of quantum information transfer channels is widely used in practice. We present examples of Kraus decompositions for channels that possess the covariance property with respect to the maximal commutative group of unitary operators. We show that in some problems (for example, the problem on the estimate of the minimal output entropy of the channel), the choice of a Kraus representation with nonminimal number of Kraus operators is relevant. We also present certain algebraic properties of noncommutative operator graphs generated by Kraus operators for the case of quantum channels that demonstrate the superactivation phenomenon.
About the authors
G. G. Amosov
Steklov Mathematical Institute of the Russian Academy of Sciences; Saint Petersburg State University; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: gramos@mi.ras.ru
Russian Federation, Moscow; Saint Petersburg; Moscow
Supplementary files
