Remainder Terms for Some Quantum Entropy Inequalities

Abstract

We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.

6 pages, latex

References in corpus (1)

• Structure of states which satisfy strong subadditivity of quantum entropy with equality

Cited by in corpus (7)

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• Multipartite quantum correlations and local recoverability
• Bounds on the Concavity of Quantum Entropy
• Peierls-Bogolyubov's inequality for deformed exponentials
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• Entanglement and other quantum correlations of a single qudit state as a resource for quantum technologies
• Note on bounds for symmetric divergence measures