Non-Additivity of Minimum Output p-mathbf{Racute{e}nyi} Entropy
classification
🪐 quant-ph
keywords
entropyminimumoutputacuteadditivityapproachapproxchannels
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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 $p_0\approx 0.2855$.
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