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Preservation of Maximal f-Divergences

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Quantum f-Divergences in von Neumann Algebras

Part of the book series: Mathematical Physics Studies ((MPST))

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Abstract

In this chapter we will characterize the preservation of \(\widehat S_f\) under a unital normal positive map γ, i.e., the equality case in the monotonicity inequality \(\widehat S_f(\psi \circ \gamma \|\varphi \circ \varphi )\le \widehat S_f(\psi \|\varphi )\).

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Hiai, F. (2021). Preservation of Maximal f-Divergences. In: Quantum f-Divergences in von Neumann Algebras. Mathematical Physics Studies. Springer, Singapore. https://doi.org/10.1007/978-981-33-4199-9_8

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