Mutual and coherent informations for infinite-dimensional quantum channels
Mathematical Physics
2010-12-07 v2 math.MP
Quantum Physics
Abstract
The work is devoted to study of quantum mutual information and coherent information -- the two important characteristics of quantum communication channel. Appropriate definitions of these quantities in the infinite-dimensional case are given and their properties are studied in detail. Basic identities relating quantum mutual information and coherent information of a pair of complementary channels are proved. An unexpected continuity property of quantum mutual information and coherent information following from the above identities is observed. An upper bound for the coherent information is obtained.
Cite
@article{arxiv.1004.2495,
title = {Mutual and coherent informations for infinite-dimensional quantum channels},
author = {A. S. Holevo and M. E. Shirokov},
journal= {arXiv preprint arXiv:1004.2495},
year = {2010}
}
Comments
27 pages, an alternative expression for the coherent information is added (Remark 2)