Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for all p &gt; 2

Grudka, Andrzej Tomasz; Horodecki, Michał

doi:10.1088/1751-8113/43/42/425304

Back

Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for all p > 2

Authors:

Andrzej Tomasz Grudka,
Michał Horodecki

Abstract

We present a constructive example of the violation of the additivity of minimum output Rényi entropy for each p > 2. The example is provided by an antisymmetric subspace of a suitable dimension. We discuss the possibility of extension of the result to go beyond p > 2 and obtain additivity for p = 0 for a class of entanglement breaking channels. © 2010 IOP Publishing Ltd.

Metrics

Record ID: UAMb63ebd6e3f7a429dbb28f4b26e2c4c01
Author: Andrzej Tomasz Grudka Andrzej Tomasz Grudka,, Zakład Elektroniki Kwantowej [nowa struktura organizacyjna] (SNŚ/WyF/JBWF)Szkoła Nauk Ścisłych [nowa struktura organizacyjna] (SNŚ)
Michał Horodecki Michał Horodecki,, External affiliation of publication: Uniwersytet Gdanski
Journal series: Journal of Physics A-Mathematical and Theoretical, ISSN 1751-8113
Issue year: 2010
Vol: 43
ASJC Classification: 2610 Mathematical Physics; 2611 Modelling and Simulation; 2613 Statistics and Probability; 3100 General Physics and Astronomy; 3109 Statistical and Nonlinear Physics
DOI: DOI:10.1088/1751-8113/43/42/425304 Opening in a new tab
Language: (en) English
Score (nominal): 0
Score source: journalList
Publication indicators: Scopus Citations = 15; WoS Citations = 15; Scopus SNIP: 2010 = 1.022; WoS Impact Factor: 2010 (2 years) = 1.641 - 2010 (5 years) =1.542

Cite

Share via portal AddThis

Uniform Resource Identifier: https://researchportal.amu.edu.pl/info/article/UAMb63ebd6e3f7a429dbb28f4b26e2c4c01/

URN: urn:amu-prod:UAMb63ebd6e3f7a429dbb28f4b26e2c4c01

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.