This is an announcement for the paper "Non-additivity of Renyi entropy and Dvoretzky's Theorem" by Guillaume Aubrun, Stanislaw Szarek, and Elisabeth Werner.
Abstract: The goal of this note is to show that the analysis of the minimum output p-Renyi entropy of a typical quantum channel essentially amounts to applying Milman's version of Dvoretzky's Theorem about almost Euclidean sections of high-dimensional convex bodies. This conceptually simplifies the counterexample by Hayden-Winter to the additivity conjecture for the minimal output p-Renyi entropy (for p>1).
Archive classification: quant-ph math.FA
Remarks: 7 pages
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Submitted from: szarek@cwru.edu
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