This article is cited in 9 papers

Information Theory

On a Sufficient Additivity Condition in Quantum Information Theory

N. Datta^a, A. S. Holevo^b, Yu. M. Sukhov<sup>a

a</sup> Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: In this paper we give a sufficient condition for additivity of the minimum output entropy for a pair of given channels and an analytic verification of this condition for specific quantum channels breaking a closely related multiplicativity property [1, 2]. This yields validity of the additivity conjecture for these channels, a result obtained by a different method in [3]. Our proof relies heavily upon certain concavity properties of the output entropy, which are of independent interest.

UDC: 621.391.1:519.2

Received: 06.09.2004

 English version: Problems of Information Transmission, 2005, 41:2, 76–90

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