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

preprint2012arXivOpen access

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

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

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