# Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy

Authors
Type
Preprint
Publication Date
Dec 24, 2012
Submission Date
Jun 09, 2010
Source
arXiv
Hastings disproved additivity conjecture for minimum output entropy by using random unitary channels. In this note, we employ his approach to show that minimum output $p-$R\'{e}nyi entropy is non-additive for $p\in(0,p_0)\cup(1-p_0,1)$ where $p_0\approx 0.2855$.