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arXiv:2006.07726

Saturating the Data Processing Inequality for $α-z$ Renyi Relative Entropy

Sarah Chehade

Published Jun 13, 2020• 6 citations
arXivHTMLPDF

Abstract

It has been shown that the $α-z$ R{é}nyi relative entropy satisfies the Data Processing Inequality (DPI) for a certain range of $α$'s and $z$'s. Moreover, the range is completely characterized by Zhang in `20. We prove necessary and algebraically sufficient conditions to saturate the DPI for the $α-z$ R{é}nyi relative entropy whenever $1

DOI
10.48550/arxiv.2006.07726

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