Quantum f-Divergences in von Neumann Algebras

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The book explores the concept of relative entropy, highlighting its importance in mathematics and physics as the quantum counterpart to the classical Kullback-Leibler divergence. It delves into various adaptations of relative entropy, particularly in the context of quantum information. The discussion includes three main classes of relative entropy: standard, maximal, and measured, showcasing their unique applications and relevance in advancing understanding in related fields.