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arxiv: 1306.5358 · v3 · pith:63FVDDL2new · submitted 2013-06-22 · 🧮 math-ph · cs.IT· math.FA· math.IT· math.MP· quant-ph

Monotonicity of a relative R\'enyi entropy

Rupert L. Frank , Elliott H. Lieb This is my paper
classification 🧮 math-ph cs.ITmath.FAmath.ITmath.MPquant-ph
keywords entropyenyirecentrelativecompletelyconjecturedefinitionmaps
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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.

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