Rupert L. Frank, Elliott H. Lieb
Published 2013-06-22, updated 2013-10-01Version 3
We show that a recent definition of relative R\'enyi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of M\"uller-Lennert et al.
Comments: 6 pages; minor revisions
Contractivity of positive and trace preserving maps under $L_p$ norms
Reflection Positivity and Monotonicity
On Uhlmann's proof of the Monotonicity of the Relative Entropy
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