Uniform continuity bound for sandwiched Rényi conditional entropy

Abstract

We prove a simple uniform continuity bound for the sandwiched Rényi conditional entropy for $\alpha \in [1/2,1)\cup (1,\infty ]$, which is independent of the dimension of the conditioning system.

arXiv commentv2 is the published version. We have added some citations and corrected some typos

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Cited by in corpus (4)

• Fundamental Limits on Correlated Catalytic State Transformations
• Continuity of characteristics of composite quantum systems
• Operator-valued Schatten spaces and quantum entropies
• Lipschitz continuity of quantum-classical conditional entropies with respect to angular distance and related properties