75 citations · 508 across the 29 of their papers we have counts for
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quant-ph2009★ 26 cited
Non-additivity of Renyi entropy and Dvoretzky's Theorem
Guillaume Aubrun, Stanislaw Szarek, Elisabeth Werner
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'…
math.CA2009
Maximal inequality for high-dimensional cubes
Guillaume Aubrun
We present lower estimates for the best constant appearing in the weak maximal inequality in the space $(\R^n,\|\cdot\|_{\iy})$. We show that this constant grows to infinit…