Bounds on the concavity of quantum entropy
type: Item
instance of: scholarly article
title: Bounds on the concavity of quantum entropy
zbMATH Open document ID: 1304.81031
DOI: 10.1063/1.4895757
author: Isaac Kim
author: Mary Beth Ruskai
published in: Journal of Mathematical Physics
publication date: 2014-10-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.5999
Mathematics Subject Classification ID: 81P16
Mathematics Subject Classification ID: 81P45
Mathematics Subject Classification ID: 94A24
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 6358480
zbMATH Keywords: von Neumann entropy concavity
zbMATH Keywords: quantum relative entropy
zbMATH Keywords: Renyi divergencies
zbMATH Keywords: Holevo value
MaRDI profile type: Publication
OpenAlex ID: W3100794465
arXiv ID: 1404.5999
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review text: The new lower and upper bounds for the quantum entropy concavity are established and compared with recent results obtained by other methods. The extensions to bounds on the Holevo \(\chi\) value are considered. One of useful tools is application of usual and sandwiched quantum Renyi relative entropies.
reviewed by: Andrey V. Bulinski
description: scientific article; zbMATH DE number 6358480