Irreducibly $SU(2)$-covariant quantum channels of low rank
Mathematical Physics
2022-09-07 v1 math.MP
Quantum Physics
Abstract
We investigate information theoretic properties of low rank (less than or equal to 3) quantum channels with -symmetry, where we have a complete description. We prove that PPT property coincides with entanglement-breaking property and that degradability seldomly holds in this class. In connection with these results we will demonstrate how we can compute Holevo and coherent information of those channels. In particular, we exhibit a strong form of additivity violation of coherent information, which resembles the superactivation of coherent information of depolarizing channels.
Keywords
Cite
@article{arxiv.2105.00709,
title = {Irreducibly $SU(2)$-covariant quantum channels of low rank},
author = {Euijung Chang and Jaeyoung Kim and Hyesun Kwak and Hun Hee Lee and Sang-Gyun Youn},
journal= {arXiv preprint arXiv:2105.00709},
year = {2022}
}
Comments
24 pages