Quantum f-Divergences in von Neumann Algebras

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Relative entropy serves as a crucial concept in both mathematics and physics, functioning as the quantum counterpart to the classical Kullback-Leibler divergence. The book explores various adaptations of relative entropy, emphasizing its applications in quantum information. It highlights three primary classes of relative entropy: standard, maximal, and measured, each offering unique insights and utilities in the study of quantum systems and their information-theoretic implications.