Anyone know a reference that demonstrates that classical Renyi divergence satisfies a data processing inequality (DPI)? Here by data-processing I mean 'application of an arbitrary bistochastic map on both arguments of the divergence' -- and I want this to decrease the value of the divergence. The statement on the first page of https://arxiv.org/pdf/1001.4448.pdf does not satisfy my definition as it only considers projection onto a subalgebra.
2026-03-26 22:50:42.1774565442
Data processing inequality for renyi divergence
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