A Sharp Fannes-type Inequality for the von Neumann Entropy

Abstract

We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to M. Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.

5 pages, 3 figures

References in corpus (2)

• Continuity bounds on the quantum relative entropy
• Continuity bounds on the quantum relative entropy - II

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