Published October 22, 2010 | Version v1
Journal article

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

  • 1. Faculty of Physics, Adam Mickiewicz University, 61-614 Poznan (Poland)
  • 2. Institute of Theoretical Physics and Astrophysics, University of Gdansk, 80-952 Gdansk (Poland)

Description

We present a constructive example of the violation of the additivity of minimum output Renyi 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.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/43/42/425304

Additional details

Identifiers

DOI
10.1088/1751-8113/43/42/425304;
PII
S1751-8113(10)65185-2;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
43
Journal Issue
42
Journal Page Range
[7 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42042298
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ENTROPY; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SPACE; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS
Descriptors DEC
MECHANICS; PHYSICAL PROPERTIES; SPACE; THERMODYNAMIC PROPERTIES