This is an announcement for the paper "Hastings' additivity counterexample via Dvoretzky's theorem" by Guillaume Aubrun, Stanislaw Szarek and Elisabeth Werner.

Abstract: The goal of this note is to show that Hastings' counterexample to the additivity of minimal output von Neumann entropy can be readily deduced from a sharp version of Dvoretzky's theorem on almost spherical sections of convex bodies.

Archive classification: quant-ph math.FA

Remarks: 11 pages

Submitted from: szarek@cwru.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1003.4925

or

http://arXiv.org/abs/1003.4925