Monotonicity of a relative Rényi entropy

Abstract

We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al.

6 pages; minor revisions

References in corpus (3)

• On quantum Renyi entropies: a new generalization and some properties
• Sandwiched Rényi Divergence Satisfies Data Processing Inequality
• A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity

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