Publications
2013
Issue 20

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

20/2013

Universal upper bound for the Holevo information induced by a quantum operation

Lin Zhang, Junde Wu and Shao-Ming Fei

Abstract

Let $H_{A} \otimes H_{B}$ be a bipartite system and $ρ_{A B}$ a quantumstate on $H_{A} \otimes H_{B}$ , $ρ_{A} = T r_{B} (ρ_{A B})$ , $ρ_{B} = T r_{A} (ρ_{A B})$ . Then each quantum operation $Φ_{B}$ on quantum system $H_{B}$ can induce a quantum ensemble ${(p_{μ}, ρ_{A, μ})}$ on quantum system $H_{A}$ . In this paper, we show that the Holevo quantity $H i {(p_{μ}, ρ_{A, μ})}$ of the quantum ensemble ${(p_{μ}, ρ_{A, μ})}$ can be upper bounded by $S (ρ_{B})$ . By using the result, we answer partly a conjecture of Fannes, de Melo, Roga and Życzkowski.

Contact the author per mail Download full preprint 114 KB

Received:: 01.02.13

Published:: 05.02.13

Keywords:: quantum state, Quantum operation, von Neumann entropy, Holevo quantity

Related publications

inJournal

2012 Repository Open Access

Lin Zhang, Junde Wu and Shao-Ming Fei

Universal upper bound for the Holevo information induced by a quantum operation

In: Physics Letters / A, 376 (2012) 47/48, pp. 3588-3592

BibTex DOI: 10.1016/j.physleta.2012.10.014 ArXiv: 1110.5979